kilobytes = 183.357775173719
q = 5
m = 5
n = 1786
s = 1
t = 25
u = 101
k = 1281
w = 63
ciphertext = [0, 0, 1, 4, 3, 4, 1, 1, 3, 1, 4, 3, 3, 0, 0, 2, 1, 2, 3, 1, 2, 4, 3, 4, 1, 4, 3, 4, 3, 3, 1, 1, 3, 3, 2, 0, 0, 4, 4, 4, 2, 0, 1, 2, 0, 0, 3, 4, 2, 2, 4, 4, 4, 3, 3, 4, 2, 1, 1, 2, 0, 2, 1, 4, 0, 0, 1, 3, 4, 3, 2, 0, 2, 3, 4, 3, 2, 4, 2, 4, 1, 1, 0, 2, 3, 2, 4, 0, 3, 3, 4, 4, 0, 0, 2, 4, 4, 3, 3, 3, 0, 4, 0, 3, 2, 1, 0, 3, 3, 3, 3, 3, 2, 0, 0, 3, 2, 3, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 4, 2, 2, 4, 0, 0, 0, 3, 4, 2, 2, 0, 3, 2, 0, 3, 2, 3, 3, 3, 0, 3, 2, 2, 0, 4, 3, 4, 0, 3, 1, 3, 1, 1, 1, 3, 4, 1, 1, 2, 4, 0, 3, 1, 1, 0, 3, 2, 3, 2, 0, 3, 1, 4, 1, 1, 1, 4, 4, 3, 3, 2, 2, 1, 4, 1, 1, 1, 4, 4, 0, 1, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 1, 1, 3, 2, 4, 3, 0, 1, 0, 2, 4, 0, 3, 2, 2, 4, 1, 3, 1, 0, 1, 2, 3, 4, 4, 2, 3, 3, 1, 3, 3, 4, 4, 0, 1, 0, 4, 2, 4, 3, 3, 1, 2, 1, 2, 3, 2, 0, 0, 0, 2, 0, 3, 1, 2, 1, 2, 2, 0, 3, 2, 2, 0, 2, 4, 2, 1, 0, 0, 4, 4, 4, 4, 1, 4, 4, 4, 4, 2, 4, 2, 3, 4, 4, 3, 2, 1, 4, 2, 4, 1, 0, 1, 3, 3, 3, 4, 3, 0, 3, 2, 3, 2, 2, 3, 0, 4, 3, 3, 0, 3, 1, 3, 2, 2, 0, 0, 0, 0, 2, 4, 4, 4, 1, 2, 0, 1, 0, 2, 4, 4, 1, 3, 3, 1, 2, 3, 3, 0, 3, 2, 3, 2, 0, 4, 0, 1, 2, 3, 0, 4, 4, 4, 4, 0, 4, 1, 4, 0, 2, 2, 3, 3, 2, 0, 2, 3, 2, 2, 1, 2, 3, 2, 0, 1, 1, 3, 3, 4, 0, 3, 2, 1, 0, 4, 0, 1, 3, 1, 0, 1, 4, 1, 4, 1, 3, 4, 0, 3, 0, 0, 1, 1, 1, 4, 2, 2, 2, 3, 3, 3, 3, 3, 4, 2, 4, 2, 1, 4, 4, 0, 4, 3, 3, 2, 1, 3, 1, 4, 4, 4, 1, 2, 3, 3, 0, 4, 2, 4, 2, 3, 2, 1, 3, 2, 3, 1, 2, 2, 2, 1, 0, 1, 4, 3, 2, 1, 2, 1, 1, 2, 0, 4, 3, 4, 1, 1, 0, 4, 2, 2, 4, 4, 4, 1, 4, 4, 3, 3, 4, 0, 2, 4, 3, 4, 2, 1, 3, 2, 2, 3, 4, 2, 2, 0]
recovered_plaintext_using_secret_key = True
pubkeycol505 = [0, 1, 2, 0, 2, 2, 3, 3, 3, 4, 0, 1, 0, 3, 3, 0, 0, 3, 0, 2, 1, 4, 0, 2, 3, 4, 2, 3, 4, 2, 0, 0, 4, 0, 3, 1, 1, 2, 2, 3, 4, 0, 4, 0, 4, 4, 1, 0, 0, 3, 4, 4, 2, 4, 3, 1, 4, 2, 0, 0, 3, 2, 3, 0, 1, 0, 4, 2, 0, 2, 2, 0, 3, 2, 3, 3, 0, 3, 4, 3, 2, 4, 3, 1, 4, 1, 3, 3, 0, 3, 0, 4, 0, 4, 4, 1, 4, 4, 4, 0, 2, 2, 2, 2, 0, 2, 2, 1, 3, 4, 4, 3, 1, 1, 4, 0, 0, 4, 3, 1, 3, 2, 0, 0, 3, 1, 1, 3, 4, 0, 3, 1, 2, 4, 0, 4, 4, 2, 4, 3, 4, 3, 2, 0, 4, 2, 1, 1, 4, 1, 1, 2, 2, 0, 1, 2, 4, 4, 3, 3, 1, 1, 0, 2, 1, 2, 1, 0, 3, 2, 1, 3, 3, 4, 4, 1, 1, 4, 2, 4, 2, 4, 1, 0, 2, 0, 3, 1, 4, 0, 4, 3, 4, 3, 1, 2, 2, 4, 1, 3, 0, 4, 2, 1, 2, 0, 4, 0, 4, 1, 2, 3, 0, 3, 3, 4, 4, 3, 1, 2, 0, 2, 2, 3, 1, 2, 0, 4, 4, 4, 0, 0, 3, 1, 1, 4, 0, 4, 1, 0, 1, 2, 1, 2, 4, 2, 3, 3, 1, 3, 3, 3, 3, 2, 4, 4, 3, 1, 3, 1, 0, 4, 2, 4, 0, 0, 2, 4, 2, 0, 2, 4, 1, 4, 1, 3, 4, 3, 0, 2, 1, 3, 3, 0, 4, 4, 2, 0, 1, 2, 2, 3, 0, 1, 3, 3, 3, 1, 4, 1, 2, 3, 0, 4, 2, 4, 1, 3, 2, 0, 0, 3, 4, 1, 2, 2, 4, 2, 3, 3, 3, 4, 4, 3, 4, 4, 0, 0, 3, 2, 3, 2, 2, 0, 3, 4, 2, 2, 3, 2, 0, 0, 4, 4, 3, 2, 1, 3, 2, 1, 3, 3, 3, 1, 3, 1, 4, 3, 1, 4, 3, 2, 2, 0, 0, 3, 0, 3, 2, 2, 2, 1, 2, 2, 4, 1, 3, 3, 0, 0, 1, 1, 3, 2, 4, 3, 3, 3, 3, 4, 2, 2, 1, 0, 3, 4, 1, 0, 0, 0, 4, 0, 4, 2, 4, 0, 4, 1, 0, 1, 0, 4, 1, 4, 0, 3, 4, 3, 4, 2, 4, 4, 1, 4, 1, 2, 4, 2, 0, 0, 3, 0, 2, 3, 4, 4, 1, 0, 1, 2, 4, 3, 3, 3, 1, 2, 1, 2, 0, 4, 3, 2, 2, 2, 2, 2, 0, 0, 2, 2, 3, 4, 2, 2, 4, 1, 0, 2, 3, 0, 2, 0, 4, 2, 2, 3, 4, 3, 3, 1, 4, 0, 4, 0, 3, 1, 4, 0, 4, 1, 0, 1, 4, 0, 0, 4, 2, 4, 4, 0, 2, 0, 0, 1, 1]
pubkeycol506 = [3, 1, 4, 1, 3, 0, 4, 3, 2, 4, 1, 0, 1, 1, 3, 2, 4, 1, 2, 0, 2, 3, 1, 1, 2, 1, 3, 3, 4, 3, 0, 1, 2, 0, 4, 3, 2, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 0, 4, 1, 0, 2, 3, 0, 0, 4, 1, 2, 1, 0, 4, 1, 2, 3, 3, 2, 3, 2, 0, 3, 1, 3, 1, 0, 4, 3, 3, 1, 4, 4, 3, 0, 4, 2, 2, 2, 3, 1, 3, 4, 1, 1, 4, 4, 3, 4, 3, 2, 1, 4, 3, 4, 1, 4, 4, 0, 2, 2, 1, 3, 2, 0, 3, 3, 2, 4, 2, 1, 2, 2, 4, 3, 1, 3, 4, 3, 1, 1, 4, 1, 1, 0, 0, 4, 1, 1, 4, 3, 2, 3, 1, 0, 1, 0, 3, 1, 4, 4, 4, 4, 4, 2, 0, 2, 4, 2, 0, 2, 4, 3, 1, 0, 4, 0, 2, 3, 2, 3, 2, 2, 0, 0, 2, 4, 1, 2, 0, 1, 1, 0, 3, 0, 3, 4, 2, 4, 0, 1, 0, 4, 0, 4, 2, 2, 3, 4, 3, 4, 0, 2, 2, 4, 3, 0, 2, 1, 4, 2, 4, 3, 2, 0, 0, 0, 4, 0, 1, 1, 2, 4, 4, 0, 4, 4, 1, 4, 3, 3, 1, 2, 1, 3, 1, 1, 3, 2, 3, 0, 1, 2, 0, 1, 3, 0, 1, 2, 3, 3, 2, 4, 1, 0, 2, 3, 4, 2, 0, 2, 0, 1, 1, 3, 4, 1, 4, 4, 0, 3, 4, 0, 3, 3, 0, 2, 3, 2, 2, 2, 2, 4, 2, 0, 4, 2, 2, 2, 1, 0, 0, 4, 1, 3, 4, 0, 3, 0, 4, 1, 1, 0, 2, 1, 4, 3, 0, 3, 0, 3, 1, 0, 0, 4, 4, 1, 2, 0, 4, 3, 4, 3, 4, 0, 1, 4, 2, 0, 1, 2, 2, 0, 0, 3, 3, 3, 0, 2, 2, 3, 4, 2, 0, 0, 1, 3, 0, 3, 1, 1, 3, 1, 3, 3, 0, 0, 0, 3, 4, 3, 2, 4, 0, 0, 1, 4, 2, 0, 3, 4, 3, 3, 1, 1, 1, 0, 1, 4, 4, 4, 4, 1, 3, 3, 1, 0, 2, 4, 4, 4, 4, 0, 0, 0, 1, 1, 0, 3, 1, 3, 1, 2, 3, 3, 1, 0, 3, 3, 1, 0, 0, 3, 3, 1, 3, 0, 0, 0, 1, 3, 3, 4, 0, 1, 2, 1, 2, 1, 1, 3, 3, 1, 4, 3, 4, 0, 2, 1, 3, 0, 4, 0, 4, 2, 3, 3, 4, 1, 3, 0, 2, 3, 0, 3, 4, 4, 1, 1, 3, 0, 2, 1, 1, 2, 2, 1, 2, 4, 0, 4, 1, 3, 0, 2, 3, 2, 2, 0, 1, 4, 3, 4, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 4, 4, 1, 4, 0, 4, 4, 3, 0, 2, 0, 3, 4, 0]
pubkeycol507 = [3, 3, 4, 2, 2, 3, 0, 2, 4, 3, 1, 3, 3, 4, 2, 3, 0, 0, 4, 2, 0, 1, 4, 3, 4, 0, 3, 0, 3, 0, 1, 0, 3, 3, 1, 1, 1, 2, 2, 4, 4, 1, 3, 3, 0, 0, 2, 4, 0, 3, 3, 1, 1, 4, 4, 0, 3, 2, 2, 4, 3, 1, 1, 1, 4, 1, 2, 3, 1, 3, 2, 1, 1, 0, 3, 4, 3, 1, 3, 4, 4, 3, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 4, 3, 4, 1, 2, 1, 4, 4, 0, 2, 4, 1, 1, 3, 2, 0, 1, 3, 1, 4, 4, 3, 1, 3, 4, 3, 4, 3, 0, 4, 2, 0, 4, 3, 4, 3, 3, 2, 1, 2, 1, 0, 0, 3, 2, 0, 2, 2, 4, 0, 4, 4, 2, 4, 0, 4, 2, 2, 0, 4, 1, 0, 0, 2, 0, 4, 1, 3, 2, 2, 2, 1, 4, 1, 2, 3, 3, 4, 4, 4, 1, 0, 2, 4, 4, 0, 4, 2, 0, 0, 4, 2, 1, 0, 0, 0, 1, 1, 3, 3, 2, 4, 2, 1, 2, 4, 0, 0, 0, 2, 1, 0, 4, 3, 1, 1, 1, 4, 2, 2, 4, 3, 3, 0, 4, 4, 2, 4, 1, 3, 1, 1, 1, 0, 0, 1, 2, 4, 1, 4, 3, 0, 1, 2, 3, 3, 0, 2, 4, 1, 0, 3, 3, 1, 3, 0, 4, 4, 4, 1, 0, 2, 4, 1, 4, 2, 4, 1, 4, 1, 3, 3, 4, 3, 1, 3, 4, 1, 0, 4, 4, 3, 0, 3, 0, 2, 4, 0, 1, 3, 2, 2, 2, 0, 3, 1, 2, 3, 0, 2, 4, 1, 4, 1, 2, 4, 1, 4, 4, 0, 2, 0, 4, 1, 3, 2, 0, 0, 1, 0, 4, 4, 0, 4, 2, 2, 3, 3, 1, 3, 1, 1, 0, 2, 4, 1, 3, 0, 1, 1, 1, 4, 2, 4, 2, 0, 1, 1, 0, 2, 1, 2, 2, 3, 4, 1, 0, 4, 1, 4, 1, 0, 4, 3, 0, 2, 0, 1, 0, 4, 1, 2, 3, 1, 0, 1, 3, 0, 1, 1, 3, 1, 4, 2, 1, 4, 1, 2, 1, 3, 4, 3, 3, 4, 4, 0, 3, 1, 4, 4, 3, 4, 1, 2, 3, 3, 2, 1, 4, 0, 4, 1, 3, 2, 2, 3, 2, 3, 3, 3, 1, 3, 1, 3, 0, 1, 0, 0, 2, 3, 3, 1, 2, 3, 3, 4, 0, 3, 0, 3, 2, 3, 2, 1, 3, 4, 1, 4, 2, 2, 3, 4, 1, 1, 4, 4, 2, 0, 4, 4, 2, 2, 4, 1, 4, 4, 1, 2, 3, 4, 4, 2, 0, 0, 3, 1, 1, 2, 3, 3, 2, 4, 4, 1, 1, 1, 3, 2, 4, 3, 0, 4, 2, 4, 2, 3, 3, 3, 1, 2, 4, 3, 2, 1, 0, 1, 3, 2, 4, 1, 1]
pubkeycol508 = [4, 0, 4, 4, 2, 1, 1, 2, 4, 1, 2, 3, 1, 0, 4, 1, 4, 3, 4, 2, 0, 2, 3, 1, 1, 1, 3, 3, 4, 3, 2, 0, 4, 2, 3, 4, 1, 2, 1, 3, 0, 0, 3, 0, 4, 1, 0, 0, 1, 1, 4, 4, 4, 4, 1, 2, 1, 3, 0, 3, 3, 1, 1, 3, 4, 2, 0, 4, 4, 2, 1, 0, 3, 4, 2, 0, 1, 1, 1, 1, 0, 3, 2, 0, 3, 2, 3, 0, 4, 0, 3, 0, 1, 4, 2, 0, 2, 3, 4, 0, 4, 1, 4, 2, 0, 1, 4, 4, 4, 1, 1, 1, 3, 3, 4, 2, 3, 4, 1, 1, 0, 0, 3, 0, 4, 4, 2, 0, 4, 2, 2, 2, 4, 1, 2, 1, 2, 3, 2, 1, 3, 1, 0, 4, 2, 3, 1, 3, 2, 0, 3, 1, 4, 1, 1, 1, 2, 0, 4, 2, 2, 3, 3, 1, 4, 3, 4, 4, 1, 0, 1, 4, 0, 2, 1, 2, 3, 3, 3, 0, 0, 1, 2, 4, 2, 4, 1, 4, 4, 4, 2, 0, 3, 2, 3, 3, 3, 0, 0, 4, 0, 0, 0, 2, 3, 1, 3, 0, 2, 0, 4, 2, 4, 2, 2, 2, 1, 3, 1, 1, 4, 2, 2, 3, 2, 3, 3, 1, 4, 1, 0, 0, 3, 0, 4, 1, 2, 0, 2, 0, 3, 4, 4, 1, 3, 0, 0, 0, 4, 0, 3, 1, 4, 4, 4, 2, 2, 0, 1, 1, 3, 4, 3, 4, 2, 1, 2, 4, 1, 4, 2, 1, 0, 4, 2, 1, 0, 2, 2, 3, 2, 4, 1, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 3, 1, 2, 1, 2, 4, 3, 0, 1, 1, 3, 4, 1, 4, 3, 4, 3, 4, 0, 1, 4, 1, 0, 3, 2, 3, 1, 3, 1, 3, 0, 4, 1, 4, 0, 4, 1, 0, 3, 2, 0, 4, 2, 2, 4, 3, 0, 3, 2, 4, 4, 0, 0, 4, 3, 0, 4, 3, 3, 1, 4, 4, 2, 2, 0, 0, 3, 2, 4, 3, 4, 2, 2, 0, 2, 0, 4, 1, 4, 3, 2, 1, 4, 1, 4, 2, 0, 0, 3, 0, 3, 0, 3, 2, 2, 1, 3, 4, 0, 4, 0, 2, 0, 0, 1, 3, 1, 0, 1, 2, 1, 0, 2, 2, 3, 1, 3, 3, 0, 0, 1, 4, 4, 0, 4, 1, 3, 3, 2, 4, 4, 1, 4, 0, 1, 0, 4, 4, 2, 4, 1, 2, 4, 4, 4, 4, 2, 4, 1, 1, 4, 4, 3, 3, 3, 2, 0, 3, 3, 1, 2, 1, 0, 4, 2, 2, 3, 2, 3, 0, 0, 0, 3, 4, 0, 4, 0, 1, 2, 0, 1, 1, 2, 4, 2, 4, 2, 4, 4, 3, 4, 0, 0, 4, 2, 4, 1, 2, 4, 2, 2, 4, 3, 1, 2, 1, 4, 2, 0, 2, 4, 2]
pubkeycol509 = [3, 1, 1, 2, 0, 1, 0, 3, 4, 1, 2, 2, 3, 3, 0, 1, 4, 3, 0, 2, 1, 1, 3, 1, 1, 2, 0, 1, 3, 4, 0, 1, 4, 0, 2, 0, 0, 3, 0, 4, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 3, 3, 1, 0, 1, 0, 1, 1, 1, 0, 4, 3, 0, 0, 4, 3, 3, 4, 1, 3, 0, 0, 3, 4, 0, 1, 0, 4, 1, 4, 4, 2, 1, 4, 3, 1, 1, 2, 1, 2, 2, 1, 3, 3, 1, 1, 2, 1, 4, 1, 1, 4, 1, 1, 4, 4, 3, 1, 1, 4, 2, 1, 1, 3, 3, 3, 4, 1, 4, 2, 2, 3, 1, 3, 3, 0, 0, 4, 1, 4, 1, 3, 2, 1, 4, 4, 3, 1, 0, 1, 3, 2, 2, 2, 2, 3, 1, 3, 2, 3, 3, 4, 0, 3, 3, 2, 4, 4, 2, 2, 1, 4, 3, 2, 2, 2, 3, 2, 1, 2, 0, 3, 3, 2, 0, 4, 2, 3, 2, 2, 4, 2, 1, 1, 1, 1, 1, 3, 3, 1, 3, 3, 0, 1, 1, 2, 4, 0, 4, 2, 0, 3, 3, 3, 0, 2, 3, 2, 0, 4, 2, 2, 1, 4, 1, 3, 3, 2, 2, 0, 1, 1, 4, 2, 3, 2, 4, 3, 4, 2, 1, 2, 4, 4, 4, 0, 3, 4, 1, 1, 4, 2, 4, 1, 1, 2, 1, 1, 4, 1, 0, 2, 2, 1, 2, 3, 2, 4, 0, 4, 3, 4, 2, 0, 1, 0, 3, 2, 1, 1, 2, 4, 0, 3, 2, 0, 0, 0, 0, 2, 4, 0, 0, 4, 2, 4, 0, 4, 3, 2, 3, 3, 2, 0, 2, 3, 1, 4, 3, 3, 4, 3, 2, 4, 1, 2, 2, 2, 3, 2, 2, 2, 1, 4, 3, 2, 4, 4, 0, 1, 2, 0, 1, 4, 1, 0, 0, 2, 1, 0, 4, 3, 0, 0, 0, 0, 1, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 3, 2, 1, 4, 0, 3, 2, 1, 4, 3, 3, 4, 3, 1, 3, 3, 3, 4, 2, 3, 4, 4, 3, 4, 2, 4, 2, 3, 0, 4, 1, 4, 4, 3, 0, 1, 2, 4, 4, 4, 0, 4, 4, 2, 1, 4, 4, 2, 0, 3, 3, 3, 1, 0, 3, 3, 2, 4, 2, 1, 4, 3, 4, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 0, 4, 1, 2, 2, 1, 2, 3, 4, 2, 4, 2, 4, 1, 0, 3, 3, 1, 3, 4, 0, 2, 0, 3, 4, 2, 2, 1, 2, 4, 3, 3, 3, 2, 1, 3, 2, 3, 3, 1, 0, 4, 0, 4, 4, 3, 3, 4, 3, 2, 2, 4, 3, 4, 1, 0, 2, 2, 3, 3, 4, 0, 2, 1, 1, 1, 4, 4, 2, 1, 4, 0, 0, 0, 3, 1]
pubkeycol510 = [0, 2, 1, 2, 1, 1, 0, 1, 4, 3, 4, 4, 2, 3, 2, 1, 4, 4, 1, 4, 1, 3, 3, 3, 1, 2, 3, 1, 3, 4, 3, 1, 3, 0, 4, 1, 2, 1, 1, 4, 1, 2, 4, 4, 2, 0, 1, 1, 4, 4, 0, 0, 0, 1, 4, 2, 0, 4, 4, 3, 3, 4, 2, 2, 4, 2, 3, 1, 3, 2, 2, 3, 0, 0, 2, 4, 0, 4, 0, 0, 3, 1, 0, 1, 2, 0, 4, 1, 0, 3, 0, 3, 2, 1, 0, 2, 0, 4, 0, 4, 2, 4, 0, 4, 2, 4, 2, 0, 0, 1, 1, 0, 3, 0, 1, 1, 2, 4, 0, 0, 3, 0, 0, 1, 1, 3, 2, 4, 2, 2, 3, 2, 1, 3, 3, 2, 1, 2, 2, 2, 4, 0, 4, 2, 1, 3, 2, 0, 1, 1, 2, 1, 4, 0, 4, 4, 1, 4, 3, 2, 2, 4, 1, 4, 3, 4, 0, 1, 0, 3, 1, 4, 0, 1, 3, 1, 4, 0, 4, 0, 0, 3, 2, 0, 3, 3, 4, 1, 2, 4, 2, 4, 3, 1, 3, 0, 4, 0, 1, 4, 4, 4, 1, 2, 2, 0, 3, 1, 2, 2, 0, 1, 1, 3, 1, 0, 4, 4, 4, 4, 1, 4, 2, 3, 3, 0, 4, 2, 2, 1, 0, 2, 3, 1, 1, 3, 4, 0, 1, 2, 0, 4, 1, 3, 3, 2, 4, 4, 1, 1, 1, 4, 0, 1, 0, 3, 4, 2, 1, 2, 2, 1, 1, 3, 4, 2, 1, 4, 3, 3, 4, 1, 1, 2, 1, 0, 3, 4, 2, 1, 4, 1, 0, 1, 2, 0, 4, 1, 3, 1, 1, 3, 3, 1, 0, 1, 3, 0, 3, 4, 2, 4, 0, 0, 2, 1, 1, 3, 1, 3, 3, 2, 3, 2, 3, 1, 1, 2, 1, 3, 0, 0, 2, 2, 2, 4, 3, 0, 4, 3, 4, 4, 0, 1, 4, 0, 3, 0, 1, 4, 1, 1, 0, 4, 4, 2, 3, 1, 2, 1, 0, 2, 2, 0, 2, 4, 2, 3, 4, 4, 3, 4, 2, 0, 3, 2, 2, 4, 2, 1, 1, 3, 1, 2, 3, 1, 3, 2, 4, 3, 0, 3, 1, 3, 1, 4, 2, 0, 1, 2, 0, 3, 2, 1, 0, 1, 3, 1, 0, 2, 3, 4, 4, 0, 2, 2, 4, 1, 3, 1, 0, 1, 4, 1, 3, 2, 1, 0, 1, 2, 3, 2, 4, 0, 0, 0, 1, 1, 1, 3, 1, 0, 4, 3, 2, 4, 4, 2, 0, 0, 0, 4, 1, 2, 3, 2, 4, 4, 3, 4, 1, 0, 0, 3, 1, 1, 0, 3, 3, 0, 4, 0, 4, 4, 3, 1, 3, 3, 4, 1, 1, 1, 4, 4, 0, 3, 4, 3, 1, 1, 2, 3, 4, 0, 4, 1, 0, 1, 0, 3, 3, 3, 0, 0, 3, 0, 1, 2, 3, 1, 4, 0, 0, 3, 2]
pubkeycol511 = [4, 1, 4, 0, 1, 2, 4, 2, 3, 4, 4, 3, 0, 3, 3, 1, 3, 4, 2, 1, 2, 3, 2, 1, 4, 1, 4, 1, 2, 3, 1, 3, 1, 1, 3, 0, 0, 0, 4, 0, 4, 4, 3, 3, 2, 4, 2, 1, 4, 3, 0, 2, 4, 3, 3, 2, 2, 1, 3, 1, 0, 3, 0, 2, 0, 1, 3, 0, 2, 1, 0, 3, 0, 2, 0, 2, 1, 3, 2, 2, 0, 0, 1, 3, 4, 0, 2, 0, 0, 0, 1, 0, 0, 2, 4, 0, 2, 0, 3, 2, 2, 4, 4, 2, 1, 4, 3, 0, 3, 2, 4, 2, 2, 2, 1, 3, 2, 3, 3, 4, 0, 4, 1, 2, 0, 3, 0, 1, 1, 1, 4, 2, 2, 2, 2, 3, 4, 4, 2, 0, 1, 0, 3, 1, 2, 0, 3, 3, 1, 3, 2, 0, 2, 0, 2, 0, 3, 1, 4, 2, 1, 4, 4, 2, 3, 1, 3, 4, 1, 0, 4, 3, 3, 1, 3, 1, 4, 4, 0, 3, 0, 3, 3, 0, 1, 2, 2, 0, 4, 4, 0, 4, 1, 0, 4, 1, 0, 2, 0, 1, 4, 4, 0, 0, 0, 3, 3, 3, 2, 2, 4, 0, 3, 2, 0, 4, 2, 0, 2, 2, 2, 2, 1, 1, 4, 4, 2, 1, 0, 3, 2, 3, 3, 3, 1, 4, 1, 0, 2, 4, 2, 0, 3, 2, 1, 1, 4, 1, 4, 1, 1, 1, 1, 2, 3, 4, 0, 4, 3, 0, 2, 1, 0, 0, 2, 3, 3, 4, 1, 3, 4, 3, 3, 3, 3, 4, 3, 1, 3, 0, 4, 0, 3, 1, 0, 4, 1, 2, 4, 1, 3, 0, 3, 0, 3, 4, 0, 2, 0, 1, 3, 2, 3, 2, 1, 0, 4, 0, 4, 3, 3, 2, 3, 0, 1, 0, 1, 0, 0, 1, 1, 4, 1, 4, 0, 3, 4, 2, 4, 0, 3, 3, 2, 1, 1, 1, 2, 2, 3, 2, 0, 2, 4, 1, 0, 2, 4, 2, 0, 3, 0, 0, 4, 1, 0, 0, 4, 4, 1, 3, 3, 2, 4, 1, 0, 3, 2, 3, 2, 4, 0, 0, 3, 0, 3, 1, 1, 2, 1, 0, 3, 2, 2, 3, 1, 4, 1, 0, 4, 4, 1, 3, 3, 3, 4, 2, 2, 4, 3, 3, 2, 4, 2, 0, 4, 3, 4, 3, 4, 2, 4, 1, 2, 2, 3, 0, 4, 1, 2, 2, 3, 3, 3, 4, 1, 2, 0, 3, 1, 2, 0, 4, 1, 4, 2, 4, 4, 0, 2, 4, 2, 2, 0, 4, 3, 2, 2, 2, 4, 2, 4, 2, 4, 0, 1, 1, 3, 3, 4, 4, 0, 4, 0, 3, 0, 1, 4, 4, 2, 3, 1, 0, 2, 1, 4, 1, 1, 4, 4, 1, 1, 4, 0, 2, 4, 0, 2, 2, 4, 0, 0, 4, 0, 2, 1, 0, 2, 1, 3, 1, 1, 4, 0, 3, 0]
pubkeycol512 = [4, 1, 2, 3, 3, 4, 3, 1, 0, 3, 4, 1, 4, 0, 2, 1, 2, 2, 4, 0, 2, 2, 4, 0, 0, 2, 0, 2, 0, 3, 4, 0, 3, 1, 2, 4, 1, 3, 0, 3, 3, 1, 2, 0, 2, 4, 1, 1, 0, 4, 3, 0, 0, 1, 3, 2, 4, 0, 0, 2, 2, 1, 4, 0, 1, 1, 1, 1, 3, 3, 3, 2, 2, 1, 2, 2, 3, 0, 0, 1, 0, 2, 1, 2, 1, 4, 0, 2, 1, 3, 0, 3, 3, 4, 0, 3, 3, 4, 0, 3, 3, 3, 1, 0, 0, 4, 4, 4, 2, 0, 3, 0, 0, 4, 2, 3, 4, 3, 3, 1, 4, 1, 1, 0, 4, 0, 3, 0, 0, 3, 0, 2, 0, 4, 1, 2, 2, 2, 4, 2, 4, 0, 3, 2, 0, 2, 1, 1, 1, 1, 4, 0, 2, 3, 1, 2, 0, 4, 0, 4, 1, 0, 1, 3, 3, 1, 0, 0, 4, 3, 3, 3, 1, 1, 4, 3, 3, 3, 3, 0, 0, 2, 4, 0, 3, 1, 1, 4, 0, 4, 0, 1, 0, 1, 2, 3, 0, 0, 4, 1, 2, 1, 2, 3, 4, 0, 3, 3, 1, 0, 0, 1, 1, 0, 2, 0, 3, 2, 1, 4, 0, 1, 1, 0, 1, 2, 0, 4, 1, 3, 4, 0, 1, 2, 4, 0, 0, 2, 2, 4, 2, 2, 1, 1, 3, 1, 4, 4, 3, 4, 3, 0, 1, 3, 3, 2, 2, 1, 2, 1, 4, 4, 0, 3, 3, 2, 1, 4, 3, 0, 3, 1, 2, 0, 1, 2, 4, 1, 4, 4, 0, 3, 1, 4, 0, 4, 2, 3, 1, 2, 1, 2, 1, 0, 2, 3, 0, 4, 1, 0, 2, 3, 1, 3, 2, 4, 2, 4, 3, 1, 1, 4, 0, 4, 3, 1, 2, 4, 1, 1, 4, 4, 3, 1, 3, 1, 4, 0, 1, 3, 3, 3, 1, 1, 1, 4, 3, 2, 0, 4, 0, 3, 2, 2, 3, 2, 4, 0, 4, 1, 4, 1, 1, 0, 2, 3, 3, 4, 1, 4, 2, 2, 3, 1, 1, 3, 0, 2, 0, 0, 4, 2, 3, 2, 1, 2, 4, 0, 4, 3, 3, 3, 4, 2, 3, 3, 0, 0, 2, 0, 4, 0, 4, 3, 3, 1, 2, 0, 1, 1, 4, 0, 4, 3, 2, 4, 4, 0, 4, 4, 2, 0, 0, 2, 0, 2, 4, 4, 1, 4, 1, 2, 0, 3, 1, 1, 3, 4, 1, 3, 4, 3, 3, 1, 3, 0, 1, 0, 1, 0, 2, 2, 4, 2, 0, 1, 3, 2, 2, 3, 1, 3, 0, 4, 3, 0, 4, 3, 3, 2, 4, 3, 0, 2, 1, 4, 4, 0, 1, 1, 2, 0, 3, 1, 1, 3, 2, 3, 0, 0, 4, 4, 4, 1, 3, 3, 1, 0, 0, 4, 3, 3, 0, 0, 2, 4, 2, 2, 2, 3, 4, 3, 2, 3, 1]
pubkeycol513 = [1, 4, 1, 1, 2, 0, 1, 4, 0, 1, 3, 1, 1, 1, 4, 2, 0, 3, 1, 3, 2, 1, 2, 2, 3, 4, 0, 1, 0, 3, 4, 1, 3, 3, 2, 1, 3, 4, 2, 3, 0, 4, 0, 3, 0, 1, 4, 1, 1, 3, 1, 2, 3, 2, 0, 2, 1, 4, 3, 0, 2, 4, 0, 2, 3, 2, 3, 1, 0, 2, 1, 3, 3, 1, 0, 4, 0, 3, 3, 2, 0, 3, 4, 2, 2, 1, 2, 0, 2, 3, 4, 4, 3, 0, 3, 3, 2, 4, 4, 0, 3, 1, 0, 4, 0, 0, 4, 4, 4, 2, 4, 3, 0, 0, 1, 1, 0, 0, 1, 4, 4, 0, 3, 1, 0, 4, 3, 1, 3, 3, 3, 4, 1, 3, 0, 0, 1, 3, 2, 0, 0, 0, 4, 3, 0, 3, 3, 4, 0, 2, 3, 2, 1, 3, 4, 2, 0, 1, 2, 2, 1, 1, 3, 0, 3, 0, 4, 4, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 4, 3, 0, 1, 2, 2, 3, 2, 3, 1, 0, 4, 1, 1, 0, 1, 1, 4, 2, 4, 3, 3, 1, 3, 1, 0, 2, 4, 1, 3, 4, 2, 3, 1, 2, 1, 4, 1, 2, 2, 3, 2, 2, 3, 4, 4, 4, 3, 1, 2, 2, 2, 3, 1, 2, 2, 0, 2, 0, 0, 2, 3, 4, 0, 4, 4, 0, 4, 4, 3, 3, 1, 0, 1, 3, 4, 2, 4, 4, 2, 3, 0, 1, 0, 4, 3, 1, 0, 4, 0, 0, 0, 2, 2, 0, 3, 4, 2, 4, 2, 3, 4, 1, 3, 4, 1, 0, 0, 0, 2, 2, 2, 3, 3, 0, 1, 3, 4, 2, 1, 4, 2, 4, 4, 0, 1, 2, 2, 3, 2, 1, 4, 0, 4, 1, 2, 3, 3, 1, 3, 1, 0, 2, 2, 4, 1, 3, 3, 3, 3, 3, 2, 3, 4, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 3, 3, 2, 3, 4, 4, 0, 0, 2, 2, 2, 1, 2, 3, 4, 3, 1, 3, 3, 4, 0, 0, 3, 1, 1, 0, 1, 3, 3, 3, 0, 1, 4, 1, 1, 4, 4, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 3, 1, 3, 3, 0, 4, 3, 0, 4, 2, 1, 4, 4, 4, 0, 1, 4, 4, 4, 1, 3, 3, 1, 1, 3, 3, 2, 1, 2, 0, 4, 1, 4, 1, 4, 2, 2, 2, 1, 4, 4, 4, 2, 0, 2, 0, 2, 1, 1, 4, 2, 1, 0, 3, 3, 2, 0, 4, 2, 1, 4, 0, 2, 0, 4, 3, 2, 2, 0, 4, 1, 2, 2, 4, 2, 2, 3, 1, 3, 3, 1, 3, 2, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 1, 2, 3, 0, 1, 1, 1, 4, 3, 4, 3, 0, 3, 1, 2, 3, 2]
pubkeycol514 = [2, 4, 3, 4, 1, 1, 0, 2, 1, 3, 2, 4, 0, 4, 3, 1, 2, 1, 2, 2, 0, 0, 3, 0, 1, 2, 0, 4, 1, 3, 3, 1, 0, 3, 3, 2, 4, 2, 4, 0, 1, 1, 2, 0, 3, 2, 0, 0, 1, 3, 3, 1, 4, 4, 4, 1, 1, 1, 1, 4, 4, 3, 3, 3, 2, 1, 0, 0, 0, 3, 0, 2, 1, 0, 1, 0, 2, 0, 4, 3, 2, 3, 3, 4, 3, 3, 3, 1, 4, 3, 4, 2, 4, 0, 1, 3, 0, 0, 4, 3, 2, 2, 4, 4, 2, 4, 0, 1, 1, 3, 0, 1, 4, 1, 1, 3, 2, 0, 3, 4, 3, 0, 1, 0, 1, 4, 1, 1, 2, 3, 3, 3, 1, 2, 4, 3, 1, 1, 4, 1, 4, 1, 0, 3, 1, 2, 2, 3, 4, 0, 0, 3, 4, 0, 4, 3, 3, 0, 3, 1, 2, 3, 1, 1, 4, 3, 3, 4, 4, 0, 1, 1, 2, 2, 1, 4, 3, 2, 1, 3, 3, 1, 3, 2, 0, 2, 1, 4, 3, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 2, 3, 1, 2, 4, 2, 4, 2, 2, 0, 3, 2, 2, 0, 2, 4, 1, 3, 3, 2, 4, 2, 2, 4, 0, 0, 1, 2, 3, 0, 0, 2, 3, 0, 2, 3, 4, 0, 0, 1, 1, 3, 1, 3, 1, 0, 2, 2, 0, 0, 3, 4, 4, 0, 0, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 0, 1, 3, 0, 0, 1, 4, 0, 1, 1, 1, 4, 2, 4, 3, 2, 2, 3, 2, 0, 3, 4, 3, 1, 3, 0, 3, 1, 2, 2, 4, 2, 3, 2, 4, 0, 4, 4, 0, 1, 0, 2, 0, 1, 3, 1, 4, 1, 4, 3, 4, 2, 2, 3, 3, 1, 4, 4, 4, 1, 2, 2, 0, 4, 4, 0, 4, 0, 0, 4, 1, 1, 0, 4, 0, 0, 2, 0, 1, 2, 3, 0, 1, 3, 0, 0, 2, 2, 1, 2, 4, 0, 4, 3, 0, 0, 2, 3, 1, 2, 4, 1, 1, 0, 0, 0, 0, 2, 0, 3, 4, 4, 3, 3, 3, 0, 1, 3, 4, 2, 0, 1, 1, 4, 2, 1, 1, 0, 3, 1, 0, 1, 1, 4, 0, 1, 3, 1, 0, 3, 1, 0, 2, 0, 2, 0, 4, 2, 4, 4, 3, 1, 0, 3, 2, 3, 0, 0, 2, 1, 1, 3, 1, 4, 0, 3, 4, 0, 4, 4, 1, 1, 3, 0, 1, 4, 3, 2, 0, 2, 1, 4, 2, 0, 1, 1, 2, 1, 4, 0, 4, 4, 1, 2, 2, 1, 1, 2, 2, 4, 2, 2, 3, 2, 2, 0, 0, 0, 2, 4, 2, 3, 2, 0, 0, 3, 3, 4, 4, 2, 2, 3, 3, 0, 1, 2, 1, 2, 0, 1, 1, 4, 1, 1, 1, 0, 1, 1, 3, 3, 4]
pubkeycol515 = [4, 1, 4, 1, 2, 3, 4, 2, 3, 2, 2, 0, 1, 4, 4, 0, 0, 4, 2, 2, 4, 0, 4, 3, 1, 3, 3, 4, 3, 4, 1, 3, 3, 0, 2, 4, 0, 4, 2, 2, 3, 1, 0, 0, 2, 1, 0, 1, 3, 1, 1, 2, 3, 4, 1, 0, 4, 2, 0, 4, 4, 3, 0, 0, 2, 2, 0, 3, 1, 0, 2, 3, 4, 3, 0, 0, 2, 3, 4, 2, 1, 4, 1, 4, 4, 1, 3, 3, 4, 3, 1, 0, 1, 3, 1, 2, 2, 3, 1, 4, 0, 4, 1, 2, 4, 1, 3, 0, 2, 1, 0, 4, 4, 1, 1, 0, 3, 4, 3, 3, 4, 0, 0, 4, 3, 0, 2, 4, 3, 4, 2, 1, 0, 4, 2, 3, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 3, 1, 0, 3, 3, 2, 3, 0, 2, 4, 0, 2, 4, 1, 3, 4, 4, 2, 3, 0, 3, 1, 1, 3, 2, 3, 2, 2, 3, 3, 3, 0, 1, 0, 2, 2, 4, 2, 4, 0, 1, 4, 0, 3, 0, 4, 2, 2, 3, 2, 1, 0, 1, 1, 3, 3, 3, 3, 4, 0, 0, 2, 3, 0, 4, 1, 3, 3, 1, 4, 3, 4, 1, 2, 0, 1, 0, 0, 2, 3, 2, 3, 3, 2, 1, 4, 0, 2, 1, 4, 0, 2, 4, 1, 2, 3, 1, 3, 4, 0, 0, 0, 1, 4, 2, 4, 2, 4, 2, 4, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 3, 0, 4, 4, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 4, 1, 2, 2, 1, 2, 4, 3, 2, 4, 1, 1, 4, 2, 3, 0, 2, 0, 1, 4, 1, 4, 4, 0, 2, 4, 2, 0, 2, 4, 1, 4, 0, 2, 2, 4, 2, 0, 1, 2, 4, 2, 4, 0, 4, 2, 0, 0, 3, 4, 3, 2, 2, 0, 0, 0, 1, 1, 3, 0, 3, 1, 1, 0, 3, 0, 0, 4, 1, 1, 0, 1, 3, 2, 4, 0, 0, 2, 2, 2, 2, 0, 2, 0, 4, 3, 0, 2, 4, 4, 2, 0, 0, 0, 4, 0, 2, 3, 0, 0, 2, 2, 0, 3, 4, 2, 1, 2, 4, 4, 3, 0, 4, 1, 3, 0, 3, 4, 2, 1, 1, 4, 1, 0, 2, 3, 3, 2, 3, 4, 0, 4, 1, 3, 4, 2, 0, 3, 4, 3, 4, 0, 2, 0, 1, 4, 2, 1, 2, 2, 1, 0, 0, 0, 2, 4, 1, 4, 2, 1, 1, 0, 4, 3, 0, 2, 2, 1, 2, 2, 4, 0, 0, 0, 2, 1, 3, 2, 3, 2, 2, 1, 2, 1, 2, 0, 0, 3, 4, 1, 3, 3, 1, 1, 2, 3, 0, 3, 4, 2, 0, 0, 3, 0, 0, 1, 2, 2, 1, 1, 4, 0, 1, 3, 4, 3, 4]
pubkeycol516 = [1, 0, 0, 0, 3, 4, 2, 0, 2, 4, 0, 1, 4, 0, 4, 3, 2, 4, 2, 2, 3, 0, 2, 0, 2, 3, 3, 1, 2, 4, 3, 3, 1, 0, 2, 3, 0, 0, 3, 0, 2, 4, 2, 1, 0, 0, 0, 1, 0, 4, 2, 0, 3, 2, 2, 1, 2, 4, 4, 4, 0, 0, 2, 0, 2, 2, 1, 0, 4, 3, 1, 3, 0, 0, 1, 4, 3, 4, 2, 0, 0, 3, 1, 0, 2, 4, 1, 0, 3, 3, 1, 0, 0, 0, 3, 3, 3, 1, 0, 1, 2, 4, 0, 1, 1, 0, 1, 0, 2, 4, 2, 2, 4, 2, 1, 2, 0, 4, 1, 3, 4, 3, 1, 0, 4, 3, 4, 1, 3, 1, 4, 4, 3, 1, 4, 1, 1, 1, 2, 1, 0, 3, 3, 4, 2, 4, 1, 2, 0, 4, 3, 0, 2, 0, 2, 1, 0, 2, 0, 3, 4, 0, 0, 1, 0, 1, 0, 4, 0, 1, 2, 2, 2, 2, 4, 4, 2, 2, 1, 2, 2, 3, 0, 0, 3, 3, 1, 1, 3, 4, 4, 2, 2, 1, 3, 4, 4, 4, 2, 4, 4, 4, 0, 4, 4, 1, 3, 1, 4, 2, 3, 3, 2, 0, 4, 4, 0, 4, 0, 3, 1, 4, 0, 4, 3, 2, 4, 2, 0, 1, 2, 1, 0, 0, 0, 4, 4, 4, 4, 2, 3, 3, 2, 2, 0, 0, 3, 2, 0, 2, 1, 4, 4, 4, 2, 3, 1, 4, 3, 4, 4, 3, 0, 4, 2, 0, 2, 3, 0, 2, 2, 1, 0, 2, 2, 3, 1, 0, 3, 0, 2, 0, 4, 1, 1, 4, 3, 2, 1, 4, 0, 2, 1, 0, 3, 3, 1, 3, 1, 3, 2, 4, 2, 4, 2, 0, 4, 0, 4, 3, 4, 4, 2, 4, 0, 4, 3, 3, 0, 2, 0, 1, 1, 0, 1, 3, 2, 4, 0, 0, 1, 1, 3, 1, 0, 2, 4, 1, 1, 2, 3, 4, 1, 3, 3, 2, 2, 3, 2, 0, 4, 2, 4, 2, 4, 2, 3, 2, 3, 4, 4, 2, 2, 2, 2, 2, 2, 4, 2, 0, 1, 1, 2, 0, 4, 4, 4, 4, 3, 1, 4, 3, 4, 4, 3, 2, 2, 3, 0, 1, 2, 0, 4, 2, 0, 0, 3, 0, 2, 1, 4, 2, 4, 4, 2, 0, 2, 3, 2, 1, 3, 1, 3, 2, 0, 3, 0, 2, 3, 1, 1, 3, 3, 4, 4, 4, 1, 3, 0, 1, 3, 3, 1, 2, 4, 0, 4, 2, 3, 3, 0, 2, 4, 0, 4, 1, 1, 1, 4, 3, 3, 1, 0, 3, 1, 1, 1, 4, 1, 2, 2, 3, 4, 3, 1, 4, 3, 1, 0, 4, 3, 1, 3, 1, 2, 0, 3, 1, 2, 3, 2, 4, 2, 3, 3, 1, 2, 3, 2, 1, 0, 0, 2, 1, 1, 4, 3, 0, 0, 0, 4, 2, 0, 0, 3]
pubkeycol517 = [1, 2, 0, 3, 2, 4, 2, 0, 1, 1, 2, 2, 1, 4, 0, 1, 0, 2, 0, 4, 3, 1, 4, 0, 0, 4, 1, 4, 0, 4, 2, 2, 3, 3, 2, 3, 3, 1, 4, 4, 2, 2, 4, 2, 1, 4, 2, 0, 1, 1, 3, 3, 4, 4, 1, 3, 2, 2, 0, 2, 1, 0, 3, 0, 0, 3, 2, 4, 3, 1, 3, 0, 2, 4, 0, 4, 3, 0, 2, 4, 1, 1, 2, 0, 2, 4, 1, 4, 4, 2, 3, 4, 4, 3, 4, 4, 2, 4, 1, 4, 1, 1, 2, 0, 2, 2, 3, 4, 2, 2, 1, 0, 3, 2, 0, 0, 4, 0, 3, 3, 2, 2, 0, 1, 4, 0, 0, 3, 3, 0, 1, 1, 3, 0, 0, 3, 2, 2, 1, 4, 0, 3, 2, 0, 3, 0, 4, 2, 2, 0, 0, 1, 3, 3, 1, 1, 2, 4, 3, 0, 4, 4, 0, 1, 3, 0, 2, 4, 4, 3, 3, 1, 3, 0, 2, 2, 2, 4, 3, 1, 1, 2, 1, 4, 3, 3, 1, 3, 4, 2, 0, 3, 0, 4, 0, 0, 1, 2, 4, 3, 1, 4, 2, 1, 0, 2, 1, 3, 2, 0, 4, 0, 3, 4, 3, 1, 2, 1, 3, 4, 0, 0, 1, 2, 0, 1, 1, 1, 3, 3, 2, 4, 1, 2, 0, 2, 2, 0, 4, 3, 1, 0, 2, 2, 2, 0, 2, 1, 3, 2, 4, 3, 0, 3, 1, 3, 3, 4, 0, 3, 0, 1, 1, 1, 3, 4, 2, 1, 2, 1, 4, 1, 0, 1, 1, 0, 4, 3, 4, 4, 1, 1, 2, 3, 0, 0, 4, 1, 0, 0, 1, 2, 1, 4, 3, 4, 1, 0, 4, 1, 0, 2, 1, 1, 1, 1, 3, 2, 0, 0, 3, 1, 1, 3, 2, 0, 4, 3, 3, 1, 0, 1, 0, 3, 2, 3, 4, 4, 3, 4, 2, 2, 1, 1, 1, 0, 4, 4, 2, 2, 2, 1, 1, 4, 4, 3, 1, 0, 2, 2, 2, 1, 3, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 4, 0, 1, 2, 0, 1, 2, 3, 0, 2, 1, 0, 2, 1, 0, 4, 3, 2, 3, 2, 4, 2, 4, 0, 1, 0, 3, 2, 3, 2, 3, 1, 1, 0, 0, 3, 0, 3, 0, 0, 4, 3, 3, 1, 1, 2, 4, 4, 0, 1, 2, 1, 3, 2, 1, 3, 4, 3, 4, 4, 3, 3, 0, 3, 0, 3, 1, 1, 3, 3, 4, 3, 3, 1, 0, 3, 0, 4, 3, 4, 4, 2, 2, 4, 0, 0, 4, 0, 1, 4, 3, 1, 0, 3, 2, 1, 2, 0, 2, 1, 3, 3, 4, 3, 3, 1, 2, 1, 3, 2, 0, 4, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 4, 1, 3, 2, 2, 1, 1, 4, 1, 3, 1, 3, 4, 3, 3, 2, 4]
pubkeycol518 = [1, 2, 0, 4, 3, 0, 2, 4, 1, 2, 3, 1, 4, 1, 3, 1, 0, 4, 1, 3, 3, 2, 0, 4, 2, 1, 1, 2, 0, 1, 4, 1, 2, 2, 4, 0, 3, 4, 1, 3, 4, 4, 2, 3, 4, 1, 4, 2, 1, 2, 3, 4, 1, 2, 2, 2, 3, 3, 0, 2, 3, 0, 2, 2, 3, 3, 4, 4, 2, 0, 3, 2, 0, 3, 2, 2, 4, 3, 3, 4, 2, 1, 4, 1, 0, 2, 4, 1, 1, 4, 4, 4, 1, 1, 4, 2, 4, 0, 3, 4, 2, 0, 1, 3, 4, 0, 4, 3, 4, 0, 4, 3, 2, 0, 0, 3, 1, 2, 0, 3, 1, 2, 1, 1, 0, 2, 3, 3, 4, 3, 2, 3, 1, 4, 0, 1, 0, 3, 4, 2, 4, 3, 1, 2, 1, 4, 0, 4, 1, 0, 4, 3, 1, 0, 4, 3, 3, 2, 4, 0, 1, 1, 4, 3, 1, 3, 3, 2, 1, 4, 0, 1, 0, 1, 0, 3, 3, 2, 3, 4, 3, 2, 4, 2, 4, 0, 2, 1, 4, 0, 1, 0, 4, 2, 0, 3, 4, 0, 1, 1, 1, 0, 3, 0, 1, 4, 0, 1, 3, 0, 0, 0, 2, 0, 1, 1, 4, 2, 0, 2, 3, 3, 3, 0, 3, 1, 2, 0, 4, 3, 2, 2, 2, 2, 2, 2, 0, 4, 4, 0, 0, 1, 1, 0, 1, 2, 4, 4, 1, 1, 0, 1, 1, 1, 4, 1, 1, 4, 3, 1, 1, 4, 3, 0, 2, 1, 2, 2, 2, 4, 3, 4, 4, 1, 0, 2, 0, 0, 2, 3, 0, 3, 0, 3, 3, 1, 1, 2, 0, 0, 2, 1, 4, 4, 3, 2, 3, 2, 4, 3, 0, 3, 3, 3, 0, 4, 4, 4, 4, 3, 2, 1, 0, 4, 1, 4, 4, 2, 3, 0, 3, 3, 3, 1, 0, 4, 2, 4, 2, 4, 4, 0, 3, 3, 1, 1, 2, 0, 3, 2, 3, 1, 2, 2, 2, 1, 2, 2, 1, 3, 1, 3, 1, 1, 2, 2, 0, 4, 0, 3, 2, 0, 2, 3, 3, 1, 0, 3, 3, 4, 0, 0, 3, 2, 4, 1, 4, 4, 4, 2, 1, 2, 4, 2, 4, 4, 0, 1, 2, 0, 3, 1, 3, 1, 0, 2, 0, 1, 3, 2, 3, 4, 4, 4, 1, 1, 1, 3, 1, 2, 3, 4, 0, 4, 2, 1, 1, 0, 3, 3, 4, 3, 4, 3, 1, 2, 3, 1, 3, 0, 0, 0, 4, 4, 0, 3, 4, 4, 4, 1, 0, 1, 3, 0, 3, 0, 0, 3, 4, 3, 3, 3, 2, 3, 0, 0, 2, 0, 0, 3, 3, 0, 3, 1, 2, 3, 2, 4, 2, 2, 1, 2, 0, 0, 2, 1, 4, 4, 1, 3, 4, 1, 3, 3, 4, 0, 0, 3, 3, 2, 4, 2, 0, 3, 4, 1, 3, 0, 2, 0, 2, 0, 1, 0, 4]
pubkeycol519 = [4, 3, 2, 2, 2, 2, 2, 1, 4, 1, 4, 4, 1, 0, 4, 2, 1, 2, 4, 2, 4, 1, 4, 2, 3, 1, 4, 2, 1, 2, 4, 0, 1, 0, 0, 0, 2, 2, 2, 3, 4, 3, 2, 2, 2, 4, 0, 0, 4, 4, 1, 3, 1, 4, 1, 2, 4, 0, 4, 0, 4, 1, 4, 4, 4, 1, 4, 2, 2, 4, 0, 2, 4, 2, 3, 0, 2, 4, 2, 3, 1, 1, 2, 1, 1, 2, 1, 2, 3, 3, 4, 1, 3, 2, 4, 2, 0, 0, 0, 1, 3, 0, 2, 1, 0, 2, 0, 0, 2, 3, 0, 1, 2, 1, 4, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 0, 3, 0, 3, 0, 2, 2, 2, 1, 3, 4, 0, 0, 2, 0, 2, 2, 4, 3, 1, 4, 3, 4, 3, 3, 4, 2, 4, 4, 4, 2, 2, 1, 3, 0, 4, 2, 4, 0, 3, 1, 3, 4, 3, 1, 3, 0, 2, 2, 2, 0, 3, 4, 1, 3, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 4, 4, 3, 1, 4, 0, 2, 0, 1, 0, 3, 4, 4, 0, 1, 4, 3, 2, 3, 2, 1, 1, 4, 4, 2, 0, 2, 4, 2, 0, 3, 2, 3, 2, 1, 4, 1, 1, 3, 4, 1, 2, 2, 1, 0, 3, 3, 3, 2, 1, 1, 0, 2, 3, 3, 2, 2, 2, 4, 2, 1, 4, 3, 0, 4, 3, 2, 0, 2, 1, 0, 4, 3, 3, 3, 3, 4, 1, 2, 2, 3, 0, 3, 4, 4, 3, 2, 4, 4, 1, 2, 1, 3, 0, 2, 0, 1, 3, 1, 4, 3, 0, 2, 2, 2, 0, 2, 2, 0, 4, 4, 3, 0, 2, 4, 3, 1, 4, 2, 2, 3, 3, 0, 0, 0, 0, 2, 1, 4, 2, 3, 1, 0, 2, 1, 4, 4, 2, 2, 4, 3, 0, 0, 1, 3, 4, 1, 4, 0, 0, 0, 1, 3, 4, 4, 2, 4, 1, 0, 4, 1, 2, 0, 1, 0, 0, 3, 4, 3, 1, 3, 3, 1, 0, 3, 0, 4, 4, 0, 1, 0, 4, 3, 3, 0, 3, 2, 3, 3, 0, 3, 1, 4, 2, 1, 2, 2, 4, 4, 2, 1, 2, 2, 0, 3, 1, 0, 0, 0, 1, 0, 1, 4, 3, 0, 0, 2, 0, 4, 2, 3, 2, 4, 4, 1, 2, 0, 0, 0, 3, 3, 0, 0, 4, 1, 2, 1, 3, 3, 0, 2, 3, 3, 3, 4, 2, 1, 2, 1, 2, 2, 4, 1, 2, 4, 4, 4, 1, 3, 0, 0, 2, 4, 4, 0, 2, 1, 1, 0, 3, 2, 1, 2, 0, 1, 4, 1, 3, 4, 4, 2, 3, 4, 1, 1, 4, 3, 0, 2, 2, 0, 1, 3, 1, 2, 3, 0, 0, 3, 1, 1, 3, 4, 0, 3, 1, 4, 1, 2, 1, 3, 4, 4, 4]
pubkeycol520 = [2, 4, 3, 3, 0, 4, 2, 3, 4, 1, 2, 2, 4, 2, 0, 4, 4, 4, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 1, 0, 3, 3, 3, 2, 0, 1, 3, 1, 2, 3, 0, 4, 1, 1, 0, 0, 3, 1, 3, 3, 3, 1, 3, 4, 3, 3, 0, 0, 1, 4, 4, 3, 3, 1, 4, 4, 1, 0, 0, 3, 1, 0, 2, 2, 1, 2, 0, 0, 4, 3, 3, 4, 2, 1, 1, 0, 4, 2, 0, 0, 1, 1, 3, 2, 4, 4, 0, 2, 2, 0, 4, 2, 0, 4, 4, 1, 0, 2, 0, 1, 3, 3, 2, 2, 2, 1, 0, 1, 4, 1, 3, 2, 1, 3, 2, 3, 3, 0, 3, 2, 1, 0, 0, 4, 1, 2, 1, 1, 4, 4, 1, 2, 4, 1, 0, 1, 3, 1, 4, 4, 3, 3, 1, 3, 3, 1, 0, 4, 2, 3, 0, 2, 1, 3, 1, 2, 1, 2, 4, 1, 1, 3, 2, 1, 3, 4, 1, 2, 1, 1, 4, 2, 1, 4, 3, 3, 0, 1, 3, 4, 3, 3, 4, 3, 3, 2, 4, 0, 1, 0, 3, 4, 0, 1, 2, 3, 4, 2, 1, 2, 3, 3, 1, 0, 4, 3, 2, 0, 1, 1, 0, 0, 0, 1, 2, 3, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 3, 4, 3, 4, 4, 0, 3, 4, 4, 0, 2, 1, 4, 0, 4, 0, 3, 4, 0, 2, 0, 1, 3, 2, 3, 4, 0, 1, 2, 2, 3, 3, 0, 4, 2, 0, 2, 4, 3, 1, 2, 2, 4, 2, 2, 4, 2, 3, 3, 1, 1, 4, 0, 0, 0, 4, 1, 2, 4, 0, 4, 4, 1, 0, 1, 1, 2, 2, 0, 2, 2, 3, 1, 2, 3, 4, 1, 2, 1, 0, 0, 4, 4, 1, 4, 1, 2, 2, 4, 4, 1, 2, 1, 0, 4, 1, 0, 3, 0, 3, 2, 2, 3, 3, 4, 1, 2, 0, 4, 3, 0, 0, 1, 4, 4, 2, 3, 3, 4, 4, 2, 1, 0, 4, 3, 3, 2, 1, 4, 4, 0, 4, 0, 1, 4, 1, 1, 3, 2, 2, 2, 0, 4, 1, 4, 1, 0, 0, 3, 1, 1, 1, 4, 2, 0, 0, 0, 2, 0, 3, 0, 4, 3, 4, 0, 2, 4, 2, 2, 1, 0, 3, 3, 3, 0, 2, 0, 1, 2, 0, 1, 3, 4, 4, 3, 0, 1, 0, 0, 4, 4, 2, 2, 0, 3, 2, 2, 1, 1, 2, 1, 4, 3, 4, 1, 0, 4, 4, 3, 0, 0, 1, 4, 1, 0, 3, 1, 3, 0, 2, 0, 2, 1, 4, 0, 4, 0, 4, 4, 2, 3, 2, 0, 1, 2, 2, 0, 4, 4, 0, 4, 0, 4, 0, 2, 1, 0, 0, 4, 0]
pubkeycol521 = [2, 2, 3, 2, 2, 4, 3, 0, 0, 2, 1, 0, 4, 1, 2, 1, 2, 0, 0, 0, 1, 3, 0, 4, 3, 3, 0, 0, 1, 2, 1, 3, 3, 0, 4, 3, 0, 2, 1, 1, 1, 3, 0, 2, 0, 0, 2, 0, 1, 0, 3, 3, 4, 1, 3, 4, 4, 0, 0, 0, 3, 2, 3, 3, 4, 3, 2, 1, 4, 2, 2, 4, 1, 1, 1, 1, 2, 2, 0, 0, 0, 4, 0, 0, 1, 4, 0, 2, 0, 0, 2, 2, 3, 1, 3, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 4, 0, 2, 3, 1, 3, 0, 4, 1, 4, 3, 4, 0, 0, 0, 0, 2, 4, 3, 3, 3, 1, 4, 4, 3, 3, 1, 0, 0, 0, 0, 0, 3, 1, 1, 1, 2, 2, 4, 1, 4, 2, 0, 3, 4, 0, 2, 3, 2, 3, 1, 3, 2, 0, 0, 4, 3, 3, 4, 2, 3, 1, 3, 4, 1, 0, 2, 4, 0, 3, 2, 1, 1, 4, 4, 0, 4, 1, 4, 1, 3, 4, 4, 0, 2, 1, 4, 4, 4, 4, 1, 4, 4, 1, 4, 1, 0, 0, 1, 0, 3, 3, 2, 3, 2, 3, 0, 1, 1, 0, 3, 1, 1, 1, 4, 1, 3, 2, 4, 3, 4, 2, 4, 0, 2, 0, 3, 4, 3, 2, 3, 0, 0, 0, 0, 2, 0, 1, 1, 3, 0, 2, 2, 3, 3, 2, 0, 0, 0, 0, 1, 4, 1, 4, 0, 1, 4, 0, 4, 0, 0, 4, 0, 0, 1, 4, 0, 0, 1, 4, 1, 1, 2, 2, 4, 4, 3, 1, 1, 4, 1, 4, 4, 1, 1, 3, 2, 4, 3, 1, 0, 0, 4, 3, 3, 1, 0, 1, 4, 3, 2, 3, 2, 4, 4, 1, 0, 0, 3, 2, 0, 4, 4, 4, 1, 0, 1, 1, 1, 0, 4, 1, 0, 0, 1, 3, 1, 2, 1, 2, 0, 0, 4, 0, 2, 0, 4, 4, 3, 4, 1, 3, 3, 1, 0, 0, 0, 2, 3, 2, 0, 0, 2, 4, 2, 3, 4, 4, 0, 4, 2, 0, 2, 3, 0, 2, 3, 4, 4, 3, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 4, 1, 1, 1, 3, 0, 0, 0, 4, 0, 2, 1, 1, 2, 3, 4, 4, 1, 1, 2, 1, 0, 3, 0, 2, 4, 1, 2, 4, 3, 4, 0, 4, 3, 0, 3, 1, 2, 2, 4, 1, 2, 3, 1, 1, 1, 1, 3, 2, 1, 4, 1, 3, 3, 3, 1, 2, 1, 1, 2, 1, 1, 3, 4, 1, 1, 1, 1, 0, 4, 1, 3, 4, 1, 2, 2, 2, 1, 0, 2, 4, 1, 1, 0, 4, 1, 3, 4, 2, 0, 2, 0, 4, 2, 1, 3, 4, 0, 2, 3, 4, 2, 1, 1, 1, 0, 1, 3, 4, 3, 0, 0, 0, 2, 4, 1, 4, 2, 1, 1]
pubkeycol522 = [2, 1, 0, 0, 3, 4, 4, 1, 4, 2, 4, 3, 4, 2, 4, 0, 3, 0, 2, 4, 3, 2, 3, 0, 3, 1, 0, 2, 1, 0, 2, 0, 1, 4, 4, 2, 4, 0, 3, 1, 1, 2, 3, 3, 3, 0, 3, 2, 1, 4, 1, 2, 3, 2, 0, 0, 4, 2, 0, 1, 4, 2, 3, 1, 1, 1, 4, 3, 2, 1, 2, 3, 0, 2, 1, 3, 1, 1, 4, 4, 3, 0, 1, 4, 1, 4, 2, 0, 4, 2, 1, 3, 0, 2, 2, 0, 1, 2, 2, 3, 3, 1, 0, 4, 2, 1, 0, 3, 3, 1, 3, 3, 4, 4, 4, 2, 3, 2, 0, 3, 4, 0, 3, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 4, 3, 0, 1, 1, 2, 1, 4, 1, 4, 0, 4, 1, 3, 2, 4, 2, 3, 3, 3, 4, 2, 4, 3, 3, 3, 4, 2, 2, 0, 0, 1, 0, 4, 3, 4, 3, 4, 1, 0, 0, 1, 1, 2, 1, 3, 0, 2, 0, 2, 2, 0, 0, 3, 2, 3, 0, 0, 1, 1, 3, 1, 2, 0, 4, 4, 1, 2, 0, 0, 0, 0, 0, 3, 4, 4, 2, 1, 2, 1, 4, 3, 4, 4, 3, 0, 3, 2, 1, 1, 3, 3, 1, 2, 3, 1, 3, 4, 3, 2, 3, 0, 0, 4, 4, 4, 1, 3, 0, 2, 4, 1, 0, 3, 3, 2, 4, 0, 4, 1, 3, 4, 1, 0, 3, 4, 4, 4, 0, 1, 2, 2, 3, 0, 4, 1, 4, 4, 1, 2, 0, 0, 1, 1, 2, 4, 0, 1, 3, 2, 3, 3, 3, 3, 0, 0, 1, 3, 0, 3, 4, 4, 3, 2, 0, 0, 0, 3, 4, 3, 4, 0, 1, 2, 0, 3, 0, 1, 2, 4, 3, 2, 3, 4, 0, 0, 4, 4, 2, 0, 0, 0, 3, 3, 1, 4, 2, 0, 4, 1, 2, 3, 3, 3, 2, 3, 3, 0, 3, 2, 1, 4, 0, 1, 0, 3, 4, 3, 3, 4, 2, 3, 1, 4, 2, 3, 1, 1, 4, 1, 1, 0, 4, 4, 1, 2, 2, 2, 1, 4, 2, 3, 2, 0, 0, 2, 2, 1, 1, 3, 2, 4, 2, 2, 3, 2, 4, 1, 4, 1, 4, 3, 0, 3, 2, 1, 0, 3, 0, 3, 0, 3, 2, 1, 1, 4, 0, 2, 3, 4, 0, 2, 3, 3, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 3, 2, 4, 1, 0, 3, 4, 0, 0, 4, 0, 3, 4, 3, 3, 3, 3, 2, 1, 0, 4, 2, 3, 1, 1, 4, 1, 4, 0, 0, 0, 4, 2, 2, 0, 4, 3, 4, 3, 3, 0, 3, 2, 3, 2, 3, 1, 4, 1, 3, 3, 4, 2, 1, 3, 0, 2, 0, 4, 3, 4, 3, 2, 3, 4, 3, 4, 2, 0, 0, 3, 2, 4, 1, 2, 3, 4, 1]
pubkeycol523 = [3, 1, 3, 4, 3, 3, 2, 1, 4, 1, 4, 0, 3, 3, 2, 0, 2, 3, 2, 0, 3, 3, 4, 3, 3, 1, 1, 0, 0, 1, 3, 2, 0, 3, 2, 3, 3, 1, 1, 4, 1, 3, 3, 0, 3, 2, 0, 3, 4, 1, 2, 3, 1, 4, 2, 2, 2, 1, 3, 4, 0, 2, 4, 1, 3, 4, 2, 1, 4, 1, 2, 2, 3, 4, 4, 2, 2, 2, 1, 4, 3, 4, 2, 2, 1, 0, 3, 0, 1, 2, 0, 3, 1, 1, 0, 2, 2, 0, 0, 3, 3, 4, 4, 3, 2, 0, 0, 4, 3, 4, 4, 0, 3, 4, 1, 0, 2, 2, 4, 3, 4, 4, 2, 1, 2, 4, 2, 4, 1, 1, 3, 1, 3, 3, 3, 4, 4, 4, 4, 2, 2, 1, 2, 2, 0, 4, 2, 0, 3, 1, 2, 2, 0, 0, 2, 0, 2, 4, 1, 3, 0, 2, 0, 0, 4, 1, 0, 4, 2, 3, 0, 2, 4, 4, 1, 3, 0, 4, 3, 4, 0, 4, 3, 1, 0, 3, 1, 1, 2, 4, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 3, 1, 4, 3, 1, 1, 2, 1, 3, 0, 1, 2, 3, 1, 4, 2, 4, 3, 1, 4, 4, 1, 0, 3, 3, 0, 4, 4, 2, 0, 3, 4, 0, 2, 4, 4, 0, 4, 4, 2, 2, 2, 0, 0, 2, 2, 4, 3, 1, 3, 1, 3, 2, 3, 3, 1, 2, 0, 2, 3, 3, 0, 1, 1, 2, 1, 1, 2, 3, 2, 0, 2, 2, 1, 0, 2, 2, 4, 0, 4, 2, 0, 0, 2, 2, 0, 4, 3, 1, 2, 4, 4, 1, 3, 1, 0, 0, 3, 4, 2, 2, 1, 3, 1, 0, 1, 2, 4, 3, 4, 3, 4, 4, 2, 4, 0, 3, 2, 2, 4, 1, 1, 2, 4, 1, 4, 1, 1, 4, 3, 3, 1, 4, 3, 1, 0, 4, 1, 2, 3, 1, 0, 0, 4, 3, 3, 0, 4, 1, 2, 1, 1, 3, 4, 1, 1, 2, 3, 0, 3, 3, 2, 0, 1, 2, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 3, 3, 4, 4, 1, 2, 4, 3, 1, 1, 3, 4, 2, 1, 3, 2, 1, 1, 2, 4, 2, 2, 0, 4, 4, 1, 2, 2, 3, 3, 3, 4, 4, 0, 4, 2, 4, 1, 0, 1, 3, 0, 1, 0, 4, 2, 2, 2, 0, 0, 4, 2, 4, 4, 1, 0, 3, 3, 3, 2, 1, 1, 1, 3, 1, 0, 4, 3, 4, 4, 4, 3, 2, 2, 4, 0, 1, 4, 3, 4, 2, 3, 2, 4, 0, 1, 2, 4, 4, 1, 4, 3, 0, 2, 4, 1, 3, 1, 1, 4, 2, 4, 1, 0, 3, 0, 4, 1, 0, 0, 3, 0, 1, 4, 0, 4, 2, 1]
pubkeycol524 = [0, 4, 1, 1, 1, 2, 1, 2, 3, 2, 3, 1, 0, 0, 2, 1, 3, 2, 1, 4, 2, 1, 1, 1, 3, 4, 2, 1, 0, 2, 1, 2, 0, 2, 3, 1, 4, 4, 1, 3, 3, 0, 4, 3, 4, 3, 4, 0, 4, 3, 4, 0, 2, 3, 0, 0, 2, 1, 2, 3, 0, 1, 0, 1, 0, 3, 4, 3, 0, 1, 4, 2, 3, 0, 2, 3, 0, 4, 1, 1, 0, 4, 4, 1, 0, 0, 1, 3, 3, 1, 4, 3, 1, 2, 0, 1, 3, 1, 2, 4, 2, 2, 0, 1, 3, 4, 1, 4, 4, 1, 4, 2, 0, 1, 3, 2, 4, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 0, 4, 0, 3, 1, 4, 1, 2, 3, 2, 1, 1, 3, 3, 4, 0, 1, 2, 3, 2, 2, 4, 4, 4, 0, 1, 4, 1, 0, 0, 4, 2, 2, 1, 4, 3, 1, 0, 0, 4, 1, 0, 2, 3, 1, 0, 4, 1, 1, 1, 3, 1, 2, 4, 2, 0, 1, 4, 3, 4, 4, 1, 2, 4, 4, 1, 3, 0, 1, 0, 0, 3, 3, 3, 0, 4, 1, 3, 4, 3, 1, 3, 0, 0, 1, 3, 0, 3, 1, 3, 2, 2, 4, 1, 1, 3, 0, 0, 2, 0, 2, 1, 4, 4, 4, 2, 0, 3, 0, 1, 0, 3, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 4, 1, 0, 2, 0, 0, 4, 4, 0, 1, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 3, 3, 3, 2, 4, 2, 2, 1, 4, 4, 1, 1, 4, 2, 2, 0, 2, 2, 0, 0, 3, 3, 4, 2, 0, 2, 3, 4, 2, 3, 4, 2, 4, 0, 1, 0, 4, 3, 3, 2, 1, 0, 3, 1, 4, 4, 3, 4, 2, 4, 3, 0, 3, 4, 1, 0, 1, 3, 0, 4, 3, 2, 3, 0, 4, 1, 1, 3, 2, 3, 0, 2, 0, 4, 4, 3, 1, 1, 3, 0, 4, 0, 4, 2, 0, 0, 1, 0, 3, 1, 2, 2, 4, 2, 4, 0, 1, 1, 1, 4, 3, 2, 4, 1, 0, 3, 2, 0, 1, 1, 4, 2, 2, 4, 0, 2, 0, 4, 0, 0, 1, 0, 2, 4, 3, 4, 3, 1, 1, 3, 2, 1, 1, 3, 0, 4, 0, 3, 1, 3, 1, 3, 4, 2, 3, 2, 0, 3, 0, 0, 0, 0, 3, 3, 0, 4, 3, 3, 4, 3, 0, 4, 2, 3, 1, 3, 3, 4, 3, 1, 3, 3, 2, 3, 3, 2, 4, 3, 3, 2, 0, 2, 0, 0, 1, 0, 3, 4, 3, 2, 0, 2, 0, 2, 4, 0, 4, 1, 3, 4, 4, 2, 3, 0, 4, 0, 4, 2, 3, 3, 2, 0, 1, 0, 2, 1, 2, 4, 4, 4, 4, 1, 0, 4, 0, 1, 1, 3, 4, 0, 3, 1, 3, 0, 4, 4]
pubkeycol525 = [4, 4, 0, 3, 4, 0, 1, 0, 4, 2, 3, 2, 2, 2, 0, 2, 3, 1, 3, 1, 3, 4, 3, 1, 0, 4, 1, 3, 1, 0, 2, 0, 1, 4, 3, 1, 0, 0, 4, 3, 3, 0, 1, 0, 3, 1, 0, 3, 0, 2, 3, 0, 1, 1, 0, 4, 2, 2, 4, 2, 0, 4, 0, 3, 4, 0, 3, 1, 4, 0, 0, 0, 3, 3, 1, 0, 1, 0, 2, 2, 2, 1, 4, 4, 1, 1, 3, 2, 4, 0, 4, 3, 0, 2, 3, 0, 3, 4, 3, 0, 1, 1, 4, 3, 3, 4, 0, 3, 1, 4, 0, 0, 0, 4, 1, 1, 0, 1, 2, 4, 1, 0, 4, 1, 4, 4, 1, 4, 0, 1, 2, 1, 3, 3, 3, 2, 0, 3, 2, 2, 3, 3, 2, 3, 2, 2, 1, 2, 0, 0, 2, 1, 4, 0, 0, 1, 3, 1, 0, 1, 0, 3, 3, 3, 0, 4, 2, 1, 4, 2, 0, 1, 3, 0, 4, 0, 1, 4, 4, 3, 1, 2, 2, 2, 4, 0, 0, 4, 4, 3, 3, 0, 0, 2, 0, 0, 3, 1, 3, 0, 4, 2, 1, 2, 4, 4, 1, 2, 0, 0, 2, 2, 0, 4, 1, 4, 1, 2, 1, 2, 3, 0, 3, 3, 0, 3, 4, 1, 1, 2, 3, 0, 1, 2, 1, 2, 0, 1, 3, 2, 3, 2, 4, 1, 0, 4, 1, 3, 3, 4, 2, 3, 1, 0, 0, 2, 1, 4, 0, 2, 2, 0, 0, 1, 0, 3, 2, 0, 0, 3, 3, 2, 4, 1, 3, 4, 1, 4, 4, 3, 2, 4, 1, 1, 1, 4, 2, 2, 1, 4, 0, 1, 3, 2, 3, 0, 4, 0, 3, 2, 1, 1, 2, 3, 1, 4, 3, 0, 0, 3, 3, 2, 3, 3, 4, 3, 0, 1, 0, 1, 3, 4, 2, 1, 0, 0, 3, 0, 3, 4, 0, 3, 3, 1, 4, 3, 1, 3, 1, 0, 3, 0, 0, 2, 3, 0, 4, 2, 2, 0, 3, 1, 3, 1, 4, 2, 3, 2, 3, 4, 3, 2, 4, 4, 1, 1, 1, 2, 2, 4, 0, 3, 2, 1, 4, 0, 3, 4, 4, 4, 1, 2, 0, 1, 4, 4, 1, 1, 2, 4, 2, 2, 0, 1, 0, 2, 2, 3, 4, 0, 2, 3, 3, 4, 3, 1, 1, 2, 1, 3, 4, 4, 4, 2, 1, 3, 0, 0, 2, 2, 2, 3, 0, 4, 4, 3, 3, 1, 1, 0, 0, 1, 0, 4, 0, 1, 4, 2, 0, 1, 2, 1, 4, 1, 2, 3, 2, 0, 4, 0, 4, 0, 1, 0, 3, 0, 4, 2, 2, 3, 1, 3, 3, 4, 4, 1, 3, 4, 1, 3, 0, 3, 4, 4, 1, 2, 0, 3, 2, 3, 0, 4, 1, 3, 2, 3, 0, 1, 3, 1, 3, 2, 3, 1, 1, 1, 0, 3, 4, 1, 3, 0, 2, 3, 2]
pubkeycol526 = [0, 2, 3, 1, 0, 1, 3, 0, 1, 4, 0, 4, 2, 0, 0, 3, 4, 2, 4, 3, 1, 2, 2, 4, 0, 0, 1, 2, 4, 1, 2, 0, 2, 0, 2, 0, 0, 4, 3, 2, 1, 2, 1, 1, 2, 0, 4, 0, 2, 2, 0, 0, 3, 3, 3, 1, 2, 0, 3, 1, 2, 0, 0, 4, 0, 0, 1, 1, 4, 2, 3, 1, 3, 4, 2, 0, 3, 3, 4, 1, 3, 1, 3, 0, 0, 0, 4, 3, 3, 4, 0, 2, 4, 4, 0, 3, 3, 1, 3, 1, 0, 0, 4, 3, 3, 2, 2, 4, 0, 4, 2, 3, 3, 0, 1, 0, 3, 4, 2, 0, 1, 3, 3, 0, 2, 2, 2, 4, 4, 0, 2, 3, 0, 2, 1, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 2, 2, 1, 4, 1, 4, 1, 4, 0, 0, 2, 3, 4, 3, 1, 2, 1, 3, 0, 0, 1, 4, 0, 2, 4, 4, 1, 3, 1, 2, 2, 2, 0, 4, 2, 3, 3, 0, 0, 1, 2, 1, 4, 0, 2, 1, 0, 2, 0, 4, 3, 1, 1, 3, 4, 3, 1, 3, 3, 3, 0, 2, 1, 4, 3, 2, 1, 1, 2, 0, 4, 1, 0, 3, 2, 1, 0, 0, 0, 0, 0, 4, 1, 4, 1, 0, 1, 3, 1, 2, 2, 2, 4, 0, 2, 3, 2, 1, 1, 4, 4, 3, 1, 2, 4, 2, 4, 4, 3, 0, 0, 1, 1, 1, 4, 4, 2, 3, 2, 3, 1, 2, 0, 1, 4, 4, 2, 3, 1, 3, 0, 2, 1, 1, 0, 3, 1, 0, 4, 0, 1, 3, 0, 1, 4, 4, 1, 0, 1, 1, 4, 1, 0, 2, 4, 3, 2, 1, 1, 1, 0, 1, 4, 4, 0, 3, 0, 0, 4, 4, 2, 0, 0, 1, 0, 0, 2, 4, 1, 1, 3, 1, 2, 1, 1, 1, 0, 0, 2, 1, 3, 1, 2, 0, 4, 4, 1, 4, 4, 2, 0, 4, 0, 4, 2, 4, 2, 2, 1, 1, 2, 4, 0, 1, 3, 1, 1, 1, 4, 3, 0, 1, 4, 3, 2, 4, 0, 0, 2, 3, 0, 4, 4, 3, 0, 2, 4, 4, 0, 4, 4, 0, 4, 3, 2, 3, 4, 3, 1, 2, 4, 0, 3, 2, 3, 2, 3, 3, 4, 2, 4, 2, 4, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 4, 3, 4, 3, 4, 2, 2, 1, 3, 2, 1, 2, 3, 2, 4, 1, 3, 1, 3, 2, 3, 4, 1, 4, 4, 1, 3, 4, 4, 0, 4, 3, 1, 0, 1, 1, 4, 1, 1, 1, 1, 4, 0, 3, 4, 0, 0, 2, 0, 3, 2, 4, 4, 2, 3, 4, 1, 2, 0, 1, 2, 3, 2, 3, 1, 3, 2, 3, 3, 3, 1, 3, 0, 3, 1, 2, 1, 1, 4, 1, 3, 4, 0, 2, 0, 1]
pubkeycol527 = [0, 2, 3, 0, 3, 2, 0, 2, 4, 4, 1, 4, 4, 4, 1, 0, 0, 4, 0, 2, 4, 1, 0, 4, 0, 2, 2, 0, 0, 4, 2, 0, 3, 3, 4, 3, 4, 0, 0, 2, 4, 1, 2, 1, 0, 2, 2, 4, 4, 4, 1, 3, 3, 2, 4, 3, 2, 3, 3, 2, 0, 0, 2, 2, 0, 3, 2, 1, 1, 0, 3, 3, 1, 1, 0, 3, 2, 1, 3, 2, 3, 4, 1, 0, 4, 2, 2, 2, 3, 4, 1, 3, 4, 2, 0, 3, 3, 2, 0, 2, 0, 4, 4, 3, 0, 3, 1, 0, 4, 3, 3, 1, 4, 2, 1, 0, 1, 3, 0, 1, 4, 4, 4, 2, 2, 3, 1, 0, 4, 1, 4, 4, 4, 0, 1, 4, 0, 2, 1, 4, 1, 3, 2, 4, 4, 1, 4, 4, 1, 0, 3, 0, 2, 0, 3, 2, 3, 4, 3, 4, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 3, 1, 1, 4, 3, 3, 0, 4, 4, 4, 4, 4, 2, 0, 3, 1, 1, 2, 0, 0, 3, 0, 0, 0, 2, 4, 2, 0, 0, 0, 1, 1, 2, 1, 4, 2, 4, 3, 2, 4, 4, 1, 1, 0, 2, 2, 2, 0, 1, 3, 2, 3, 0, 3, 2, 3, 1, 0, 3, 3, 3, 1, 4, 2, 1, 2, 1, 1, 3, 4, 4, 4, 1, 4, 1, 1, 3, 0, 0, 3, 3, 2, 0, 0, 2, 1, 1, 4, 4, 1, 3, 3, 3, 2, 4, 1, 3, 2, 3, 4, 3, 3, 4, 1, 4, 2, 2, 2, 3, 0, 2, 0, 0, 3, 3, 4, 1, 1, 4, 1, 2, 1, 0, 0, 4, 4, 2, 0, 2, 4, 2, 2, 1, 3, 2, 0, 0, 3, 4, 1, 3, 4, 2, 3, 1, 0, 4, 0, 4, 3, 3, 1, 3, 0, 1, 0, 2, 3, 4, 3, 2, 0, 3, 3, 4, 1, 0, 2, 0, 1, 4, 2, 3, 1, 4, 2, 0, 1, 3, 4, 2, 2, 4, 3, 1, 1, 1, 4, 0, 0, 0, 4, 0, 3, 2, 1, 1, 4, 3, 0, 3, 4, 4, 2, 3, 1, 3, 2, 2, 2, 3, 1, 1, 3, 1, 4, 0, 1, 4, 3, 0, 2, 0, 2, 0, 0, 3, 4, 2, 3, 3, 3, 0, 3, 4, 2, 0, 4, 3, 0, 3, 1, 1, 3, 3, 1, 4, 2, 3, 3, 0, 3, 2, 2, 3, 3, 0, 3, 4, 1, 4, 3, 1, 3, 2, 4, 0, 2, 4, 2, 2, 0, 2, 4, 3, 4, 2, 4, 2, 3, 2, 4, 2, 1, 2, 3, 2, 4, 4, 4, 1, 0, 3, 4, 4, 3, 1, 4, 1, 1, 1, 3, 1, 2, 4, 4, 0, 1, 3, 2, 0, 3, 4, 0, 0, 0, 3, 3, 2, 3, 3, 1, 2, 2, 2, 4, 0, 3, 1, 4]
pubkeycol528 = [1, 3, 3, 2, 4, 3, 0, 1, 3, 2, 1, 2, 1, 0, 3, 1, 2, 0, 0, 2, 4, 2, 4, 3, 3, 0, 1, 2, 3, 4, 3, 1, 1, 1, 1, 4, 3, 1, 2, 3, 1, 1, 4, 1, 1, 4, 0, 3, 3, 3, 2, 1, 3, 4, 2, 0, 1, 4, 2, 3, 4, 3, 0, 4, 4, 4, 1, 1, 2, 1, 3, 0, 0, 0, 1, 2, 4, 1, 1, 4, 1, 0, 2, 0, 2, 1, 4, 0, 0, 4, 1, 4, 1, 3, 2, 4, 0, 0, 3, 0, 2, 0, 2, 4, 2, 4, 0, 0, 4, 4, 4, 3, 1, 1, 4, 1, 4, 0, 2, 0, 2, 1, 0, 2, 2, 4, 3, 1, 4, 0, 1, 3, 3, 4, 4, 3, 0, 3, 4, 0, 1, 0, 2, 4, 4, 4, 3, 2, 0, 2, 2, 1, 2, 1, 4, 3, 4, 4, 1, 4, 3, 2, 2, 1, 1, 3, 0, 3, 0, 2, 1, 0, 0, 4, 0, 1, 0, 0, 1, 3, 3, 1, 2, 1, 0, 1, 2, 4, 3, 3, 3, 3, 4, 4, 2, 2, 0, 2, 2, 1, 3, 1, 1, 2, 2, 2, 4, 3, 0, 0, 2, 3, 3, 0, 3, 1, 3, 4, 4, 2, 4, 4, 4, 1, 3, 3, 4, 1, 2, 1, 4, 0, 4, 0, 2, 4, 4, 4, 2, 0, 2, 4, 4, 3, 4, 0, 4, 2, 3, 0, 2, 3, 1, 4, 0, 2, 0, 3, 0, 1, 1, 3, 3, 1, 4, 4, 3, 0, 4, 1, 3, 2, 2, 1, 0, 1, 2, 3, 4, 4, 3, 1, 2, 0, 4, 3, 2, 1, 4, 4, 2, 3, 1, 4, 1, 3, 2, 0, 4, 2, 1, 3, 2, 0, 3, 0, 1, 0, 0, 1, 0, 1, 2, 3, 0, 1, 4, 1, 1, 1, 0, 0, 4, 2, 0, 2, 3, 4, 3, 1, 4, 3, 4, 2, 4, 2, 4, 1, 0, 3, 1, 0, 4, 1, 4, 2, 3, 0, 3, 3, 0, 3, 1, 4, 3, 0, 4, 0, 3, 0, 4, 1, 4, 2, 2, 2, 2, 4, 4, 0, 1, 1, 2, 2, 1, 2, 3, 2, 4, 1, 0, 1, 4, 4, 3, 2, 1, 2, 0, 1, 3, 0, 0, 4, 2, 4, 2, 1, 4, 0, 3, 3, 2, 1, 0, 4, 1, 4, 3, 1, 0, 1, 3, 4, 3, 4, 3, 3, 3, 2, 3, 4, 0, 2, 4, 1, 2, 0, 1, 0, 0, 1, 4, 3, 1, 1, 0, 4, 4, 4, 2, 3, 0, 1, 2, 2, 1, 3, 1, 1, 1, 3, 3, 0, 4, 0, 1, 1, 0, 0, 4, 4, 2, 0, 0, 2, 2, 3, 3, 3, 3, 3, 3, 3, 0, 2, 0, 0, 3, 2, 1, 0, 4, 4, 0, 1, 2, 0, 1, 1, 0, 2, 4, 2, 0, 1, 4, 2, 4, 3, 3, 2, 1, 2, 1]
pubkeycol529 = [3, 1, 3, 3, 3, 0, 1, 4, 1, 2, 2, 0, 1, 2, 2, 0, 3, 1, 1, 4, 3, 1, 0, 2, 3, 1, 0, 4, 0, 4, 1, 0, 0, 1, 3, 0, 0, 2, 0, 4, 4, 4, 0, 3, 1, 1, 1, 4, 3, 4, 1, 2, 3, 3, 0, 2, 1, 4, 3, 1, 1, 4, 4, 3, 0, 1, 0, 0, 4, 3, 4, 4, 4, 3, 1, 0, 1, 2, 0, 2, 4, 2, 2, 2, 4, 2, 4, 0, 4, 4, 0, 4, 3, 4, 2, 1, 1, 2, 2, 0, 2, 3, 0, 3, 1, 1, 3, 3, 4, 4, 1, 2, 1, 0, 4, 4, 1, 0, 2, 4, 2, 4, 4, 4, 2, 2, 0, 2, 1, 0, 1, 1, 3, 0, 4, 1, 2, 1, 2, 2, 2, 1, 4, 1, 4, 3, 3, 4, 0, 2, 1, 1, 2, 3, 3, 0, 3, 3, 2, 2, 0, 4, 0, 4, 4, 0, 1, 1, 2, 3, 3, 2, 3, 0, 1, 0, 1, 3, 3, 3, 1, 4, 0, 4, 2, 2, 2, 4, 2, 1, 1, 0, 3, 2, 4, 1, 2, 3, 2, 0, 0, 4, 1, 1, 0, 4, 1, 0, 1, 0, 3, 2, 2, 2, 1, 1, 4, 2, 0, 4, 2, 1, 1, 4, 0, 1, 0, 3, 4, 0, 4, 2, 0, 2, 1, 4, 1, 4, 4, 0, 0, 3, 0, 2, 4, 4, 1, 0, 2, 4, 0, 2, 0, 2, 2, 0, 4, 3, 4, 3, 1, 0, 0, 2, 4, 1, 2, 1, 1, 2, 0, 4, 2, 4, 4, 3, 0, 3, 3, 4, 0, 0, 3, 3, 3, 0, 3, 3, 0, 1, 1, 4, 1, 1, 4, 3, 2, 4, 1, 0, 0, 4, 2, 2, 2, 1, 2, 3, 3, 2, 4, 2, 2, 4, 2, 1, 3, 3, 3, 1, 3, 4, 4, 1, 1, 4, 4, 3, 0, 4, 3, 1, 0, 1, 2, 2, 4, 3, 2, 1, 3, 2, 1, 0, 2, 2, 3, 2, 3, 0, 3, 3, 1, 4, 2, 0, 3, 1, 0, 0, 4, 3, 0, 0, 0, 2, 3, 4, 2, 2, 2, 3, 2, 2, 2, 4, 2, 1, 4, 2, 0, 3, 2, 2, 4, 0, 2, 1, 3, 2, 4, 3, 3, 2, 1, 3, 1, 4, 2, 3, 0, 1, 2, 0, 2, 1, 2, 0, 0, 3, 2, 3, 1, 2, 2, 3, 2, 3, 4, 0, 2, 2, 2, 0, 0, 2, 2, 3, 2, 0, 1, 3, 3, 3, 2, 3, 0, 0, 3, 4, 0, 4, 3, 2, 4, 4, 3, 0, 1, 2, 2, 3, 0, 0, 2, 3, 1, 0, 3, 3, 1, 1, 4, 1, 2, 3, 0, 0, 0, 4, 4, 3, 3, 2, 4, 2, 1, 4, 1, 3, 1, 0, 2, 4, 4, 1, 0, 3, 4, 4, 2, 3, 1, 4, 2, 4, 3, 4, 4, 2, 0, 4, 3, 4, 3]
pubkeycol530 = [2, 2, 4, 0, 3, 3, 1, 3, 4, 1, 3, 4, 0, 3, 3, 4, 4, 0, 3, 2, 2, 2, 0, 2, 0, 3, 3, 2, 4, 4, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 3, 2, 1, 4, 4, 4, 2, 4, 0, 1, 3, 4, 3, 0, 0, 2, 0, 1, 1, 3, 2, 1, 3, 3, 0, 1, 3, 4, 4, 3, 0, 4, 3, 3, 3, 1, 4, 0, 3, 3, 2, 3, 3, 2, 2, 2, 3, 4, 4, 0, 4, 4, 4, 1, 0, 4, 1, 1, 4, 1, 1, 4, 1, 2, 3, 4, 4, 0, 0, 1, 0, 1, 0, 4, 0, 0, 3, 2, 2, 4, 2, 2, 1, 1, 3, 4, 2, 1, 0, 1, 4, 4, 0, 1, 1, 3, 1, 2, 3, 1, 2, 0, 2, 3, 0, 3, 2, 0, 3, 2, 3, 3, 1, 0, 3, 2, 1, 2, 0, 3, 0, 1, 2, 4, 1, 4, 3, 1, 0, 2, 0, 1, 3, 2, 3, 4, 1, 0, 4, 0, 2, 0, 2, 1, 0, 3, 1, 2, 4, 4, 1, 4, 3, 3, 1, 0, 2, 2, 2, 3, 1, 0, 3, 3, 3, 0, 1, 3, 0, 3, 0, 4, 4, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 4, 3, 4, 1, 0, 3, 2, 3, 4, 4, 2, 0, 4, 3, 0, 1, 4, 3, 4, 3, 3, 0, 3, 3, 2, 3, 4, 1, 1, 1, 1, 1, 4, 4, 4, 2, 0, 4, 0, 2, 1, 2, 4, 3, 2, 1, 1, 1, 1, 2, 0, 1, 3, 1, 1, 2, 4, 3, 0, 4, 2, 1, 1, 2, 2, 2, 2, 2, 1, 3, 4, 3, 4, 3, 4, 1, 1, 4, 0, 1, 4, 1, 1, 3, 3, 0, 1, 0, 2, 0, 3, 0, 4, 2, 2, 3, 0, 2, 1, 3, 2, 4, 4, 3, 4, 1, 0, 1, 0, 0, 4, 0, 4, 3, 3, 1, 0, 4, 4, 1, 0, 4, 0, 0, 4, 3, 0, 3, 2, 2, 4, 4, 1, 2, 4, 4, 3, 3, 4, 3, 2, 1, 0, 0, 3, 1, 3, 0, 2, 3, 1, 2, 2, 4, 0, 1, 3, 1, 2, 0, 0, 2, 2, 3, 4, 4, 0, 0, 3, 4, 1, 2, 4, 0, 2, 3, 2, 3, 2, 4, 2, 3, 1, 3, 0, 1, 2, 3, 4, 1, 2, 4, 3, 1, 3, 0, 3, 2, 3, 3, 3, 1, 4, 2, 1, 1, 1, 4, 1, 2, 4, 0, 3, 4, 2, 1, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 1, 1, 0, 3, 1, 4, 2, 3, 0, 4, 2, 4, 3, 1, 4, 1, 0, 1, 3, 1, 0, 3, 2, 2, 0, 4, 2, 2, 4, 2, 4, 1, 4, 0, 2, 1, 3, 2, 4, 1, 0, 1, 2, 4, 4, 0, 4, 3, 0, 2]
pubkeycol531 = [2, 2, 3, 3, 0, 1, 4, 2, 0, 0, 0, 4, 4, 1, 4, 4, 0, 2, 3, 4, 1, 1, 4, 3, 1, 3, 2, 0, 1, 4, 3, 3, 3, 0, 0, 1, 4, 2, 3, 2, 3, 1, 4, 4, 2, 3, 4, 0, 0, 4, 4, 3, 4, 3, 1, 3, 4, 4, 1, 3, 4, 2, 2, 2, 1, 0, 1, 4, 3, 3, 1, 0, 4, 3, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 4, 4, 0, 4, 0, 4, 4, 4, 1, 2, 1, 3, 0, 3, 1, 0, 2, 4, 0, 1, 3, 1, 1, 2, 1, 4, 3, 2, 2, 0, 0, 0, 1, 0, 1, 0, 3, 2, 4, 1, 3, 0, 2, 0, 3, 4, 2, 3, 4, 2, 1, 4, 1, 3, 4, 0, 0, 1, 1, 2, 0, 3, 3, 3, 2, 0, 0, 3, 4, 2, 3, 2, 0, 0, 4, 1, 1, 2, 3, 4, 2, 0, 0, 1, 0, 3, 3, 0, 3, 1, 2, 1, 4, 1, 3, 3, 4, 3, 3, 0, 1, 4, 2, 1, 3, 0, 2, 0, 4, 2, 4, 0, 3, 0, 1, 0, 4, 3, 3, 2, 4, 3, 0, 0, 1, 4, 4, 3, 2, 3, 2, 1, 4, 0, 1, 2, 2, 3, 0, 2, 1, 4, 1, 4, 2, 1, 2, 0, 2, 3, 4, 1, 3, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 0, 3, 3, 2, 0, 0, 1, 1, 4, 1, 0, 0, 2, 0, 2, 4, 4, 1, 1, 3, 2, 2, 0, 1, 3, 1, 3, 3, 3, 2, 1, 4, 4, 3, 0, 0, 1, 4, 0, 4, 3, 3, 4, 4, 4, 1, 0, 4, 3, 2, 1, 0, 2, 1, 3, 1, 3, 1, 0, 1, 3, 0, 3, 3, 1, 0, 3, 3, 4, 2, 3, 4, 1, 2, 1, 3, 2, 1, 2, 0, 3, 2, 0, 2, 0, 0, 3, 1, 3, 4, 2, 1, 2, 0, 3, 0, 1, 0, 2, 0, 0, 2, 4, 2, 1, 4, 4, 2, 4, 0, 4, 0, 4, 0, 4, 4, 1, 3, 1, 2, 3, 0, 4, 2, 3, 4, 2, 2, 1, 4, 4, 0, 4, 0, 2, 3, 2, 4, 2, 3, 1, 3, 3, 0, 2, 0, 4, 0, 4, 0, 1, 4, 0, 3, 4, 1, 2, 0, 1, 1, 4, 1, 3, 4, 3, 1, 3, 0, 3, 3, 4, 0, 1, 4, 2, 3, 4, 1, 4, 3, 1, 1, 0, 1, 1, 3, 3, 0, 4, 2, 0, 3, 2, 0, 2, 2, 4, 1, 1, 0, 0, 3, 2, 4, 4, 4, 4, 4, 3, 4, 2, 4, 2, 3, 1, 2, 0, 0, 4, 2, 0, 1, 4, 2, 2, 0, 3, 2, 1, 0, 2, 0, 1, 4, 2, 4, 2, 3, 1, 2, 4, 2, 0, 0, 0, 4, 3, 4, 1, 4, 1, 1, 4, 0, 4, 0, 2, 0]
pubkeycol532 = [3, 1, 0, 2, 1, 1, 1, 3, 3, 3, 2, 0, 1, 1, 3, 0, 1, 4, 0, 2, 2, 1, 0, 4, 3, 3, 4, 0, 2, 3, 3, 4, 0, 2, 4, 3, 3, 3, 2, 1, 2, 2, 2, 2, 0, 0, 3, 4, 1, 3, 4, 4, 1, 3, 3, 2, 3, 1, 3, 1, 2, 2, 1, 3, 4, 2, 2, 1, 0, 2, 2, 2, 0, 4, 1, 2, 2, 0, 2, 0, 2, 4, 0, 4, 4, 2, 3, 3, 3, 0, 2, 4, 1, 4, 1, 4, 4, 2, 4, 1, 2, 2, 2, 4, 3, 2, 4, 2, 4, 0, 3, 2, 1, 3, 1, 3, 1, 4, 1, 2, 2, 1, 0, 1, 4, 2, 4, 1, 3, 3, 3, 2, 0, 4, 3, 4, 0, 3, 2, 2, 3, 2, 1, 2, 1, 2, 3, 4, 0, 2, 4, 0, 4, 4, 1, 2, 3, 4, 3, 1, 2, 2, 2, 4, 1, 3, 2, 4, 4, 2, 4, 0, 4, 0, 4, 0, 0, 0, 3, 2, 0, 2, 4, 0, 0, 1, 0, 1, 0, 1, 2, 3, 3, 2, 3, 0, 0, 3, 4, 2, 3, 2, 1, 2, 1, 1, 4, 3, 4, 0, 4, 0, 1, 2, 2, 3, 0, 1, 1, 2, 4, 2, 3, 2, 1, 3, 0, 0, 0, 0, 4, 1, 4, 3, 1, 3, 2, 2, 1, 2, 4, 4, 3, 2, 4, 3, 0, 4, 2, 4, 0, 3, 2, 2, 1, 2, 4, 1, 3, 4, 2, 0, 2, 2, 3, 3, 0, 0, 1, 2, 2, 0, 4, 0, 3, 1, 0, 4, 2, 3, 0, 3, 2, 2, 0, 2, 2, 1, 1, 2, 2, 4, 4, 4, 4, 1, 3, 4, 2, 0, 3, 0, 1, 3, 0, 4, 3, 3, 1, 3, 2, 1, 3, 0, 2, 0, 1, 2, 1, 4, 3, 2, 0, 3, 3, 3, 1, 3, 2, 4, 0, 4, 3, 0, 4, 1, 3, 1, 0, 2, 1, 0, 1, 2, 1, 1, 4, 3, 0, 0, 1, 2, 4, 3, 0, 3, 4, 4, 2, 0, 4, 0, 3, 3, 4, 2, 0, 2, 1, 1, 2, 2, 4, 3, 1, 0, 0, 0, 1, 0, 2, 4, 2, 2, 3, 2, 0, 0, 4, 0, 2, 3, 2, 2, 4, 3, 3, 0, 2, 4, 0, 3, 2, 1, 0, 3, 4, 3, 4, 4, 1, 4, 0, 3, 3, 4, 2, 2, 4, 4, 4, 0, 0, 3, 1, 4, 1, 3, 2, 2, 2, 3, 0, 4, 0, 1, 4, 1, 4, 0, 0, 3, 0, 3, 2, 4, 3, 0, 2, 0, 3, 1, 0, 4, 0, 2, 2, 4, 2, 0, 0, 4, 2, 4, 3, 0, 0, 4, 3, 0, 0, 1, 2, 4, 4, 1, 4, 2, 0, 2, 1, 2, 3, 1, 0, 2, 3, 1, 4, 4, 4, 0, 1, 0, 4, 2, 3, 0, 2, 0, 4, 1, 2, 2, 3]
pubkeycol533 = [3, 1, 3, 2, 4, 3, 0, 4, 2, 1, 4, 4, 1, 3, 2, 4, 0, 4, 4, 3, 1, 3, 0, 3, 4, 0, 0, 2, 3, 4, 0, 1, 1, 0, 3, 2, 4, 2, 0, 0, 2, 2, 0, 4, 4, 0, 0, 1, 1, 3, 4, 1, 0, 0, 1, 3, 3, 3, 2, 3, 4, 2, 0, 4, 4, 4, 0, 0, 4, 0, 2, 1, 4, 3, 1, 2, 3, 1, 0, 4, 2, 1, 3, 0, 0, 2, 2, 4, 2, 0, 3, 4, 3, 1, 2, 2, 3, 2, 2, 3, 1, 1, 3, 4, 4, 0, 2, 3, 1, 4, 1, 0, 1, 0, 3, 1, 0, 4, 3, 1, 4, 3, 4, 4, 3, 0, 1, 2, 0, 3, 3, 0, 1, 2, 2, 3, 0, 1, 1, 4, 0, 0, 4, 2, 3, 4, 1, 1, 3, 2, 3, 3, 3, 3, 3, 1, 3, 3, 1, 2, 0, 3, 3, 3, 4, 1, 1, 0, 3, 1, 4, 2, 4, 3, 4, 1, 1, 4, 2, 2, 0, 3, 0, 3, 0, 1, 4, 1, 0, 3, 4, 3, 0, 2, 3, 3, 3, 0, 2, 0, 4, 3, 3, 3, 2, 1, 0, 0, 3, 1, 3, 2, 3, 2, 2, 1, 3, 2, 0, 4, 0, 2, 2, 2, 3, 3, 4, 1, 1, 2, 3, 1, 2, 0, 1, 3, 4, 1, 3, 3, 4, 4, 3, 1, 2, 3, 3, 1, 3, 0, 0, 0, 3, 0, 2, 4, 1, 1, 4, 4, 1, 0, 3, 1, 4, 1, 3, 1, 0, 1, 1, 0, 4, 4, 1, 2, 4, 2, 0, 2, 1, 3, 3, 3, 2, 3, 2, 2, 4, 1, 3, 4, 1, 3, 0, 4, 2, 4, 2, 2, 0, 3, 3, 2, 4, 1, 1, 4, 2, 4, 0, 2, 0, 3, 2, 4, 1, 4, 0, 0, 1, 2, 2, 1, 4, 4, 0, 4, 2, 3, 0, 3, 3, 4, 2, 0, 3, 2, 2, 2, 4, 3, 3, 1, 4, 1, 0, 4, 4, 3, 0, 2, 1, 1, 2, 1, 0, 1, 3, 0, 2, 0, 2, 1, 3, 4, 4, 1, 4, 2, 0, 0, 3, 0, 4, 0, 3, 1, 4, 2, 3, 0, 1, 1, 4, 3, 1, 2, 0, 0, 2, 4, 0, 1, 1, 0, 3, 4, 2, 2, 0, 3, 4, 3, 0, 3, 0, 3, 0, 1, 4, 1, 4, 2, 2, 2, 1, 4, 4, 4, 2, 2, 3, 1, 3, 4, 1, 3, 1, 2, 1, 1, 3, 4, 3, 3, 4, 4, 3, 4, 3, 2, 3, 3, 4, 0, 2, 0, 2, 0, 0, 3, 3, 0, 4, 0, 3, 3, 1, 2, 4, 0, 2, 3, 2, 1, 1, 4, 2, 4, 1, 2, 2, 4, 2, 2, 1, 3, 3, 2, 2, 0, 3, 2, 3, 4, 3, 2, 4, 4, 3, 4, 0, 3, 1, 2, 1, 0, 4, 2, 1, 4, 0, 2, 1]
pubkeycol534 = [3, 1, 0, 2, 3, 0, 4, 3, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 4, 3, 1, 4, 2, 3, 4, 2, 0, 2, 3, 0, 2, 3, 4, 4, 1, 4, 4, 0, 4, 2, 0, 1, 1, 2, 3, 3, 0, 3, 2, 2, 3, 1, 4, 4, 0, 1, 0, 0, 1, 4, 3, 1, 0, 3, 0, 2, 3, 2, 1, 2, 0, 2, 4, 2, 1, 2, 1, 3, 2, 2, 2, 1, 4, 4, 3, 4, 0, 2, 2, 3, 2, 0, 0, 4, 0, 3, 3, 0, 2, 0, 0, 1, 0, 0, 3, 0, 2, 3, 3, 0, 1, 1, 0, 4, 4, 1, 4, 2, 2, 2, 1, 3, 2, 1, 1, 1, 1, 3, 2, 0, 4, 4, 3, 3, 2, 4, 0, 3, 3, 2, 1, 1, 3, 2, 3, 0, 4, 4, 1, 0, 0, 1, 2, 4, 3, 0, 0, 0, 1, 3, 3, 0, 0, 2, 0, 1, 0, 2, 4, 3, 3, 1, 3, 4, 0, 1, 2, 2, 3, 4, 3, 1, 0, 1, 3, 2, 2, 3, 0, 0, 0, 2, 0, 1, 4, 1, 4, 4, 2, 0, 1, 2, 4, 3, 1, 3, 4, 4, 2, 3, 4, 3, 3, 3, 4, 3, 4, 1, 1, 1, 3, 4, 2, 3, 2, 1, 1, 2, 1, 2, 4, 1, 4, 4, 2, 2, 1, 3, 1, 3, 4, 3, 1, 1, 2, 0, 2, 4, 4, 3, 2, 2, 3, 4, 4, 1, 1, 4, 4, 2, 4, 1, 0, 2, 0, 4, 4, 0, 3, 3, 0, 0, 4, 0, 3, 1, 2, 2, 0, 4, 1, 2, 4, 4, 4, 2, 3, 3, 3, 0, 2, 0, 1, 2, 4, 2, 2, 0, 2, 0, 3, 4, 3, 0, 4, 0, 1, 4, 3, 3, 3, 0, 1, 3, 2, 0, 4, 4, 1, 0, 0, 0, 2, 4, 1, 4, 1, 3, 4, 0, 2, 0, 0, 0, 1, 2, 2, 3, 0, 4, 2, 0, 0, 0, 1, 4, 2, 4, 4, 4, 4, 3, 0, 1, 0, 4, 1, 1, 1, 3, 2, 1, 3, 1, 0, 4, 3, 3, 2, 1, 1, 2, 1, 2, 4, 1, 1, 3, 0, 4, 3, 1, 1, 3, 4, 2, 0, 4, 3, 4, 1, 1, 3, 4, 0, 3, 1, 3, 2, 4, 1, 4, 0, 1, 1, 1, 2, 2, 1, 3, 2, 2, 0, 3, 2, 0, 1, 2, 1, 2, 1, 1, 0, 3, 0, 3, 4, 0, 3, 0, 3, 3, 0, 1, 4, 2, 3, 4, 2, 4, 0, 4, 4, 1, 3, 3, 1, 3, 3, 0, 4, 2, 0, 2, 3, 0, 1, 1, 3, 1, 4, 4, 3, 3, 2, 1, 0, 3, 0, 0, 1, 0, 2, 3, 1, 3, 0, 0, 4, 4, 4, 2, 2, 0, 3, 0, 3, 1, 3, 4, 0, 1, 0, 0, 2, 4, 2, 3, 0, 0, 4, 4, 1, 4]
pubkeycol535 = [3, 2, 3, 1, 4, 2, 2, 0, 3, 4, 1, 1, 1, 0, 1, 3, 4, 3, 3, 2, 0, 3, 0, 0, 1, 2, 3, 3, 4, 1, 1, 2, 4, 3, 0, 4, 4, 3, 2, 1, 4, 0, 0, 0, 0, 2, 1, 0, 2, 4, 1, 3, 0, 4, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 3, 0, 4, 4, 1, 2, 3, 4, 2, 4, 1, 2, 4, 2, 0, 0, 2, 4, 2, 3, 1, 1, 1, 1, 3, 2, 4, 1, 1, 0, 0, 4, 4, 4, 2, 1, 0, 1, 0, 4, 1, 4, 3, 0, 1, 2, 0, 0, 0, 0, 3, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 3, 1, 1, 1, 1, 2, 1, 3, 4, 0, 4, 3, 3, 3, 3, 2, 0, 3, 2, 3, 2, 2, 4, 3, 3, 4, 2, 1, 3, 4, 0, 0, 0, 0, 0, 1, 0, 4, 1, 2, 4, 0, 4, 3, 1, 1, 2, 3, 3, 4, 1, 4, 4, 0, 4, 3, 2, 3, 0, 2, 1, 3, 2, 1, 4, 4, 4, 4, 1, 3, 0, 4, 3, 1, 4, 0, 2, 3, 2, 0, 0, 0, 4, 2, 4, 3, 0, 1, 2, 1, 1, 2, 2, 4, 3, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 4, 2, 2, 0, 2, 4, 0, 3, 1, 2, 0, 0, 2, 3, 1, 2, 1, 1, 2, 4, 1, 2, 3, 0, 2, 2, 0, 4, 4, 0, 1, 0, 1, 4, 0, 2, 3, 0, 2, 2, 4, 3, 2, 1, 4, 0, 2, 0, 3, 0, 1, 0, 3, 4, 1, 3, 1, 2, 1, 4, 1, 1, 4, 4, 1, 0, 2, 4, 3, 0, 0, 0, 4, 3, 3, 3, 3, 3, 0, 1, 2, 4, 0, 0, 2, 4, 0, 2, 1, 1, 1, 1, 4, 3, 2, 3, 2, 4, 1, 0, 2, 1, 1, 3, 3, 0, 2, 1, 2, 1, 4, 0, 4, 2, 0, 4, 2, 2, 4, 0, 1, 0, 0, 0, 1, 0, 1, 3, 2, 3, 3, 4, 2, 3, 0, 1, 4, 4, 0, 0, 4, 4, 3, 1, 4, 2, 2, 1, 0, 3, 2, 0, 4, 1, 2, 3, 3, 4, 4, 1, 1, 4, 3, 0, 4, 0, 1, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 3, 2, 4, 3, 0, 3, 3, 3, 0, 0, 1, 3, 4, 3, 4, 3, 0, 4, 1, 0, 2, 4, 0, 2, 1, 3, 2, 3, 0, 4, 2, 1, 1, 2, 2, 1, 0, 3, 3, 2, 1, 1, 4, 2, 4, 0, 2, 4, 0, 1, 3, 0, 2, 0, 3, 0, 4, 0, 3, 1, 2, 0, 2, 2, 1, 4, 1, 4, 4, 1, 4, 0, 1, 1, 4, 2, 3, 4, 2, 0, 1, 4, 0, 4, 0, 0, 4, 2, 0, 2, 0, 2, 2, 0]
pubkeycol536 = [3, 3, 2, 1, 1, 3, 4, 1, 3, 4, 2, 2, 1, 2, 1, 1, 2, 4, 0, 4, 2, 3, 4, 2, 2, 3, 3, 3, 2, 2, 0, 2, 3, 3, 4, 4, 3, 0, 1, 0, 3, 4, 0, 0, 0, 1, 4, 4, 2, 1, 0, 2, 1, 3, 1, 0, 4, 1, 2, 2, 3, 0, 3, 1, 4, 2, 4, 2, 2, 4, 0, 2, 0, 0, 3, 4, 1, 3, 2, 1, 4, 0, 4, 0, 3, 4, 3, 3, 0, 1, 4, 2, 1, 2, 4, 0, 3, 2, 4, 0, 2, 3, 2, 2, 1, 1, 0, 4, 1, 2, 4, 3, 1, 4, 2, 2, 0, 1, 4, 4, 0, 0, 0, 2, 4, 0, 2, 0, 3, 1, 4, 2, 1, 4, 3, 4, 3, 0, 1, 0, 3, 0, 0, 3, 4, 4, 3, 0, 3, 1, 4, 3, 2, 1, 1, 4, 1, 4, 1, 0, 0, 3, 1, 1, 1, 4, 4, 4, 2, 3, 0, 0, 2, 1, 0, 2, 3, 4, 3, 4, 4, 4, 2, 2, 2, 3, 3, 1, 0, 1, 0, 4, 0, 0, 3, 0, 2, 0, 1, 1, 2, 1, 1, 4, 3, 3, 4, 1, 3, 0, 0, 1, 0, 0, 3, 3, 4, 0, 0, 0, 4, 0, 2, 2, 1, 4, 0, 4, 3, 1, 4, 0, 1, 1, 1, 4, 2, 2, 3, 3, 4, 0, 1, 2, 1, 2, 0, 3, 1, 3, 4, 3, 4, 2, 0, 2, 3, 3, 1, 2, 2, 4, 3, 0, 1, 3, 3, 0, 0, 3, 0, 2, 4, 3, 0, 2, 0, 0, 0, 3, 0, 1, 4, 1, 2, 0, 4, 2, 4, 2, 4, 2, 1, 0, 1, 3, 2, 2, 3, 2, 0, 2, 4, 4, 4, 4, 1, 4, 2, 3, 2, 3, 0, 1, 0, 4, 0, 0, 2, 3, 1, 2, 3, 1, 3, 3, 2, 1, 1, 1, 2, 2, 1, 2, 2, 3, 4, 4, 2, 3, 0, 4, 4, 3, 4, 3, 4, 1, 1, 1, 1, 4, 3, 1, 2, 4, 2, 3, 0, 3, 4, 3, 0, 3, 1, 3, 3, 0, 4, 1, 3, 0, 0, 4, 4, 1, 4, 4, 2, 4, 2, 1, 2, 3, 3, 2, 4, 1, 1, 0, 4, 3, 4, 4, 1, 4, 3, 2, 4, 2, 1, 2, 1, 4, 3, 2, 0, 2, 3, 4, 4, 4, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 3, 0, 3, 4, 0, 4, 4, 1, 2, 4, 4, 0, 4, 2, 4, 3, 3, 3, 3, 4, 1, 1, 2, 1, 4, 0, 4, 4, 1, 1, 2, 4, 3, 4, 2, 1, 1, 1, 0, 1, 4, 2, 2, 0, 1, 3, 0, 4, 3, 1, 3, 0, 4, 3, 2, 3, 3, 4, 2, 0, 3, 2, 3, 4, 4, 3, 0, 2, 0, 2, 2, 2, 0, 4, 2, 0, 3, 1, 0, 2, 0]
pubkeycol537 = [1, 3, 3, 4, 4, 3, 0, 3, 4, 2, 3, 1, 3, 1, 1, 1, 1, 4, 3, 3, 0, 0, 4, 0, 4, 3, 3, 3, 4, 2, 2, 2, 2, 4, 4, 1, 1, 0, 3, 2, 0, 3, 0, 1, 2, 4, 3, 2, 3, 2, 4, 0, 4, 1, 4, 3, 0, 2, 3, 2, 3, 1, 2, 4, 2, 1, 2, 3, 0, 4, 2, 3, 2, 0, 3, 0, 2, 1, 2, 0, 1, 4, 2, 2, 0, 0, 0, 2, 0, 1, 4, 4, 2, 2, 3, 2, 4, 1, 4, 2, 1, 4, 2, 4, 0, 2, 3, 3, 2, 1, 4, 4, 2, 0, 2, 0, 4, 2, 2, 1, 2, 1, 0, 0, 2, 3, 2, 2, 1, 0, 0, 3, 1, 1, 2, 2, 4, 3, 0, 1, 1, 4, 0, 2, 4, 0, 1, 1, 0, 4, 0, 1, 3, 3, 3, 4, 3, 2, 4, 0, 3, 3, 4, 0, 0, 2, 1, 4, 1, 2, 0, 0, 1, 3, 1, 1, 3, 3, 2, 3, 3, 0, 3, 1, 3, 2, 3, 3, 1, 0, 3, 2, 4, 3, 1, 3, 3, 3, 3, 4, 0, 1, 0, 2, 2, 4, 2, 3, 1, 1, 0, 4, 4, 1, 4, 4, 3, 2, 0, 1, 2, 4, 2, 3, 3, 3, 1, 0, 2, 4, 2, 4, 2, 3, 4, 4, 0, 1, 2, 3, 3, 3, 4, 0, 2, 4, 0, 0, 1, 2, 3, 1, 0, 0, 1, 0, 3, 4, 0, 0, 2, 3, 0, 1, 0, 0, 0, 2, 4, 1, 3, 1, 1, 1, 0, 3, 3, 4, 0, 4, 3, 1, 3, 1, 1, 4, 0, 2, 1, 1, 2, 2, 2, 3, 3, 4, 1, 4, 4, 0, 0, 0, 0, 4, 1, 1, 2, 3, 3, 4, 1, 1, 4, 3, 0, 2, 0, 4, 1, 0, 0, 4, 1, 1, 0, 2, 3, 1, 4, 2, 1, 3, 1, 0, 0, 0, 4, 4, 3, 1, 4, 2, 4, 4, 4, 1, 0, 2, 4, 4, 4, 3, 4, 0, 1, 0, 2, 1, 0, 2, 4, 1, 0, 3, 4, 2, 3, 2, 2, 2, 3, 3, 3, 1, 0, 4, 3, 2, 3, 1, 3, 4, 4, 4, 2, 2, 3, 0, 3, 3, 3, 2, 4, 4, 2, 0, 4, 3, 0, 3, 1, 2, 4, 3, 2, 3, 2, 0, 4, 2, 1, 3, 0, 0, 1, 2, 3, 0, 4, 0, 0, 1, 3, 3, 2, 4, 1, 1, 0, 0, 1, 3, 4, 3, 1, 0, 4, 4, 3, 3, 2, 2, 0, 3, 2, 3, 4, 0, 0, 1, 1, 2, 4, 3, 4, 3, 3, 2, 1, 1, 0, 4, 0, 3, 1, 2, 4, 2, 2, 2, 1, 0, 3, 2, 4, 3, 4, 2, 3, 4, 3, 0, 2, 0, 0, 4, 4, 0, 0, 4, 1, 0, 3, 4, 4, 0, 0, 1, 2, 2, 4, 0, 0, 0, 3]
pubkeycol538 = [3, 1, 2, 4, 0, 0, 4, 1, 0, 2, 3, 3, 4, 0, 4, 0, 3, 4, 1, 4, 1, 0, 3, 1, 0, 4, 4, 3, 0, 2, 0, 1, 1, 2, 0, 1, 3, 2, 2, 1, 2, 1, 4, 1, 4, 3, 2, 3, 3, 4, 2, 0, 1, 4, 4, 3, 0, 2, 2, 0, 0, 3, 1, 3, 1, 3, 2, 4, 2, 0, 3, 3, 4, 2, 4, 2, 3, 4, 0, 1, 3, 4, 3, 3, 1, 3, 3, 1, 3, 3, 4, 0, 4, 0, 2, 4, 0, 2, 2, 1, 0, 4, 2, 2, 3, 0, 1, 0, 3, 3, 1, 1, 1, 0, 4, 2, 2, 2, 2, 4, 3, 3, 2, 3, 4, 4, 4, 2, 2, 2, 2, 1, 0, 2, 4, 2, 0, 3, 4, 2, 3, 2, 2, 1, 0, 0, 4, 0, 4, 3, 0, 0, 1, 2, 4, 0, 0, 0, 2, 3, 4, 0, 0, 1, 3, 2, 2, 2, 0, 4, 4, 4, 2, 0, 0, 1, 4, 3, 2, 1, 2, 0, 2, 4, 0, 1, 3, 0, 4, 4, 4, 4, 4, 2, 0, 0, 3, 4, 3, 1, 2, 1, 1, 4, 2, 2, 1, 1, 4, 2, 1, 0, 0, 4, 4, 1, 2, 3, 2, 1, 3, 1, 0, 2, 2, 4, 4, 4, 0, 1, 3, 1, 1, 4, 3, 2, 4, 3, 1, 0, 4, 0, 1, 4, 0, 0, 1, 1, 4, 3, 1, 4, 3, 0, 0, 4, 1, 0, 3, 3, 0, 0, 2, 0, 0, 4, 1, 0, 4, 0, 1, 0, 0, 0, 1, 2, 2, 4, 4, 1, 1, 4, 3, 4, 3, 3, 2, 2, 0, 4, 3, 0, 4, 0, 1, 2, 2, 4, 1, 4, 2, 0, 4, 0, 1, 1, 0, 3, 2, 3, 1, 4, 0, 4, 2, 3, 4, 3, 2, 3, 2, 4, 3, 0, 2, 0, 0, 2, 0, 2, 2, 3, 0, 2, 2, 2, 2, 1, 0, 4, 4, 0, 1, 4, 1, 2, 4, 3, 1, 0, 0, 1, 0, 1, 0, 3, 1, 0, 1, 3, 2, 3, 3, 3, 1, 2, 1, 1, 3, 4, 3, 1, 4, 2, 2, 1, 0, 1, 3, 3, 3, 1, 2, 0, 1, 0, 3, 2, 4, 0, 1, 1, 0, 4, 0, 3, 1, 3, 1, 0, 3, 4, 1, 2, 2, 4, 3, 0, 1, 0, 2, 4, 0, 3, 3, 2, 1, 3, 3, 4, 1, 0, 4, 3, 1, 3, 0, 2, 0, 0, 4, 4, 3, 0, 0, 4, 3, 3, 3, 1, 3, 4, 0, 0, 2, 0, 1, 4, 1, 2, 0, 3, 2, 1, 4, 3, 2, 4, 0, 4, 1, 3, 3, 2, 3, 2, 0, 0, 0, 3, 4, 1, 4, 3, 2, 0, 3, 3, 4, 2, 1, 0, 1, 0, 3, 2, 2, 4, 3, 4, 0, 2, 4, 4, 3, 3, 2, 3, 2, 2, 3, 3, 2, 0, 1]
pubkeycol539 = [2, 3, 3, 4, 4, 4, 2, 3, 2, 4, 0, 2, 1, 0, 0, 2, 2, 2, 0, 3, 4, 2, 2, 2, 1, 0, 1, 0, 2, 4, 2, 1, 2, 0, 4, 2, 4, 4, 4, 2, 1, 1, 1, 3, 1, 0, 4, 1, 2, 2, 0, 2, 4, 3, 2, 4, 0, 3, 3, 2, 0, 3, 3, 0, 0, 1, 0, 3, 2, 0, 0, 1, 0, 3, 0, 0, 0, 2, 2, 4, 4, 3, 1, 1, 0, 2, 1, 2, 1, 3, 3, 3, 3, 3, 1, 0, 2, 2, 1, 3, 1, 3, 3, 4, 0, 3, 4, 4, 4, 4, 3, 3, 3, 3, 1, 3, 2, 0, 2, 1, 1, 0, 0, 0, 0, 3, 2, 4, 0, 1, 3, 1, 3, 2, 3, 0, 3, 0, 3, 2, 4, 1, 3, 1, 4, 4, 2, 4, 3, 4, 4, 0, 0, 4, 3, 1, 4, 0, 2, 3, 3, 3, 0, 3, 0, 2, 2, 2, 1, 0, 3, 1, 3, 3, 4, 3, 3, 3, 0, 4, 2, 4, 0, 3, 4, 3, 0, 2, 4, 3, 0, 1, 4, 0, 1, 1, 4, 0, 4, 0, 1, 2, 2, 1, 2, 0, 1, 4, 2, 3, 2, 1, 0, 1, 0, 2, 0, 4, 3, 2, 3, 3, 1, 2, 1, 1, 1, 1, 3, 0, 0, 0, 4, 0, 2, 1, 4, 3, 0, 4, 2, 0, 2, 3, 1, 3, 4, 0, 0, 0, 2, 1, 4, 2, 3, 3, 1, 4, 1, 2, 3, 3, 4, 1, 2, 3, 3, 0, 2, 1, 0, 4, 4, 1, 3, 0, 1, 4, 1, 4, 0, 4, 3, 1, 2, 1, 1, 1, 4, 0, 1, 1, 4, 2, 3, 3, 3, 1, 2, 3, 4, 3, 2, 2, 2, 4, 1, 0, 4, 3, 0, 1, 1, 1, 4, 2, 1, 3, 0, 4, 3, 3, 3, 3, 2, 2, 1, 4, 4, 3, 2, 2, 0, 2, 1, 4, 3, 1, 3, 2, 2, 2, 0, 0, 3, 2, 0, 4, 2, 0, 2, 1, 1, 3, 3, 1, 2, 3, 4, 4, 4, 0, 3, 1, 0, 2, 0, 0, 3, 2, 2, 4, 0, 0, 1, 2, 0, 2, 4, 3, 3, 1, 3, 1, 2, 2, 0, 0, 0, 4, 4, 1, 1, 2, 2, 4, 4, 4, 2, 3, 4, 1, 1, 2, 2, 1, 2, 3, 3, 2, 1, 0, 0, 0, 4, 0, 3, 2, 1, 3, 0, 4, 4, 1, 4, 1, 2, 4, 3, 2, 0, 1, 3, 2, 1, 2, 0, 2, 0, 3, 0, 0, 0, 3, 0, 2, 0, 4, 1, 2, 4, 2, 3, 1, 1, 2, 4, 3, 3, 4, 0, 4, 4, 1, 4, 1, 3, 1, 2, 3, 4, 3, 4, 3, 2, 0, 4, 0, 3, 3, 1, 3, 0, 1, 2, 4, 4, 0, 1, 0, 4, 2, 4, 3, 1, 1, 4, 0, 1, 3, 4, 1, 2, 1, 4]
pubkeycol540 = [2, 3, 0, 1, 4, 4, 1, 2, 0, 4, 0, 3, 0, 4, 0, 4, 2, 1, 3, 2, 4, 3, 4, 0, 0, 4, 3, 4, 0, 1, 1, 0, 2, 3, 0, 2, 0, 2, 2, 2, 0, 3, 0, 0, 3, 2, 2, 2, 2, 2, 1, 4, 0, 0, 4, 1, 1, 0, 0, 4, 2, 3, 4, 4, 0, 3, 1, 3, 1, 2, 4, 2, 0, 4, 3, 4, 0, 2, 0, 2, 4, 4, 3, 4, 2, 1, 4, 4, 2, 0, 4, 0, 1, 0, 2, 2, 0, 2, 3, 4, 1, 1, 4, 0, 4, 4, 2, 2, 3, 3, 3, 3, 3, 0, 2, 4, 3, 0, 0, 4, 0, 4, 0, 4, 1, 4, 4, 1, 0, 1, 0, 1, 2, 3, 4, 4, 1, 4, 4, 0, 3, 3, 1, 3, 2, 3, 1, 0, 4, 0, 0, 0, 0, 1, 2, 0, 3, 2, 4, 3, 4, 1, 1, 1, 0, 3, 3, 0, 0, 1, 2, 0, 2, 1, 1, 3, 1, 4, 4, 0, 3, 0, 3, 0, 4, 0, 4, 2, 1, 2, 3, 3, 2, 2, 3, 1, 0, 4, 1, 2, 1, 0, 3, 0, 1, 4, 2, 1, 1, 4, 0, 0, 2, 1, 3, 1, 3, 3, 4, 0, 3, 2, 4, 4, 4, 2, 0, 3, 3, 4, 2, 0, 1, 1, 4, 4, 0, 4, 3, 3, 1, 3, 3, 2, 2, 0, 4, 0, 2, 0, 1, 1, 0, 1, 4, 2, 2, 1, 0, 0, 1, 2, 0, 2, 4, 0, 2, 0, 0, 3, 2, 3, 0, 0, 0, 2, 3, 1, 3, 0, 4, 4, 3, 1, 3, 4, 3, 1, 2, 0, 2, 4, 4, 4, 3, 0, 0, 1, 4, 4, 3, 3, 3, 0, 1, 4, 0, 4, 3, 3, 0, 1, 1, 1, 1, 4, 3, 3, 1, 4, 1, 0, 4, 4, 3, 0, 0, 4, 1, 0, 2, 1, 3, 3, 0, 4, 3, 2, 1, 2, 1, 3, 0, 2, 1, 2, 1, 2, 3, 4, 3, 4, 3, 0, 3, 3, 4, 2, 1, 1, 3, 0, 2, 3, 0, 3, 2, 4, 4, 0, 2, 2, 4, 2, 1, 1, 0, 4, 1, 3, 0, 4, 2, 2, 1, 2, 2, 1, 2, 1, 4, 2, 2, 0, 4, 3, 0, 3, 3, 4, 0, 2, 0, 4, 2, 2, 4, 2, 4, 2, 3, 4, 2, 2, 3, 0, 3, 3, 0, 4, 2, 1, 0, 1, 0, 1, 3, 3, 4, 1, 3, 0, 3, 4, 2, 0, 4, 1, 1, 4, 4, 3, 2, 4, 2, 2, 2, 4, 0, 1, 1, 1, 4, 0, 3, 1, 3, 4, 2, 2, 2, 0, 4, 0, 4, 4, 4, 2, 4, 1, 1, 1, 0, 3, 3, 3, 2, 3, 0, 1, 1, 1, 3, 2, 4, 1, 2, 4, 3, 1, 2, 3, 0, 1, 0, 4, 4, 0, 4, 4, 4, 4, 0, 2, 0]
pubkeycol541 = [1, 2, 2, 2, 2, 1, 0, 0, 0, 3, 1, 2, 4, 0, 3, 0, 3, 3, 0, 2, 2, 0, 4, 1, 3, 1, 0, 4, 4, 3, 4, 0, 4, 3, 2, 0, 3, 1, 2, 4, 0, 4, 4, 2, 1, 0, 4, 3, 1, 1, 1, 1, 2, 1, 2, 3, 4, 4, 4, 4, 4, 4, 3, 2, 1, 3, 1, 2, 0, 2, 1, 3, 4, 2, 1, 0, 1, 3, 4, 1, 1, 3, 1, 2, 2, 2, 1, 1, 0, 2, 1, 4, 0, 2, 2, 2, 4, 4, 4, 0, 1, 4, 2, 1, 1, 0, 3, 2, 3, 0, 1, 2, 1, 1, 3, 4, 4, 0, 4, 3, 0, 4, 4, 2, 4, 4, 2, 3, 0, 0, 2, 1, 1, 0, 1, 2, 1, 4, 2, 1, 0, 4, 0, 1, 3, 2, 2, 4, 4, 0, 4, 1, 0, 2, 1, 1, 0, 4, 2, 0, 0, 0, 2, 3, 0, 4, 3, 1, 1, 1, 1, 4, 2, 0, 4, 1, 2, 2, 3, 2, 3, 0, 1, 0, 2, 4, 2, 0, 3, 3, 0, 2, 2, 1, 1, 3, 3, 2, 3, 3, 1, 4, 1, 0, 3, 2, 2, 4, 3, 1, 3, 3, 0, 3, 2, 4, 0, 4, 1, 0, 3, 0, 3, 1, 4, 3, 1, 0, 2, 0, 2, 4, 0, 4, 4, 4, 3, 3, 0, 1, 1, 3, 2, 0, 4, 1, 3, 0, 1, 1, 3, 2, 0, 2, 2, 4, 1, 4, 4, 3, 0, 1, 4, 4, 2, 4, 1, 1, 3, 2, 4, 2, 1, 1, 3, 1, 1, 4, 3, 3, 0, 2, 2, 3, 1, 4, 2, 2, 3, 4, 1, 1, 1, 2, 1, 3, 2, 2, 0, 1, 4, 4, 4, 2, 4, 3, 0, 1, 4, 2, 2, 1, 2, 0, 2, 2, 2, 2, 3, 4, 2, 1, 1, 3, 1, 3, 0, 1, 0, 1, 4, 0, 4, 1, 4, 1, 3, 3, 2, 4, 3, 2, 4, 3, 0, 2, 2, 0, 2, 1, 0, 0, 3, 0, 0, 2, 4, 2, 1, 1, 4, 2, 4, 2, 2, 3, 3, 0, 1, 0, 1, 1, 3, 1, 3, 2, 3, 3, 3, 1, 1, 2, 3, 1, 1, 2, 4, 4, 1, 1, 2, 4, 3, 2, 0, 0, 1, 2, 0, 1, 0, 2, 4, 2, 3, 1, 4, 4, 0, 2, 3, 0, 3, 0, 3, 3, 4, 1, 3, 4, 0, 2, 3, 2, 0, 2, 2, 2, 3, 0, 3, 1, 1, 1, 4, 0, 4, 0, 3, 1, 1, 2, 0, 0, 1, 4, 4, 0, 0, 0, 4, 0, 0, 3, 4, 4, 2, 0, 1, 1, 4, 4, 4, 3, 0, 0, 4, 0, 1, 2, 0, 1, 2, 3, 2, 4, 0, 2, 1, 3, 4, 3, 4, 4, 1, 3, 4, 0, 3, 2, 4, 0, 1, 4, 0, 4, 3, 2, 0, 0, 3, 3, 0, 3, 2]
pubkeycol542 = [1, 3, 1, 2, 0, 3, 1, 3, 4, 4, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 4, 4, 1, 0, 2, 4, 2, 4, 1, 0, 1, 3, 1, 3, 4, 4, 1, 4, 2, 4, 2, 2, 3, 2, 1, 3, 0, 1, 3, 3, 1, 2, 3, 0, 2, 2, 2, 2, 0, 0, 0, 3, 4, 0, 0, 0, 2, 3, 0, 2, 3, 1, 0, 3, 0, 4, 0, 0, 0, 1, 1, 3, 3, 4, 3, 0, 2, 4, 4, 1, 4, 4, 3, 4, 2, 0, 4, 1, 1, 0, 0, 2, 3, 2, 2, 2, 0, 1, 4, 3, 0, 3, 2, 2, 3, 2, 3, 0, 4, 4, 4, 2, 2, 3, 0, 2, 0, 1, 0, 4, 1, 0, 0, 3, 4, 3, 4, 1, 4, 1, 0, 4, 0, 3, 4, 0, 2, 3, 3, 2, 4, 4, 0, 4, 0, 4, 2, 1, 2, 3, 4, 1, 0, 0, 4, 4, 3, 1, 2, 1, 0, 3, 1, 1, 1, 1, 2, 0, 0, 3, 0, 4, 3, 1, 0, 2, 3, 2, 0, 0, 3, 1, 0, 3, 3, 0, 0, 4, 4, 4, 3, 0, 2, 2, 1, 2, 3, 2, 4, 2, 4, 2, 1, 3, 2, 0, 2, 1, 3, 0, 2, 2, 1, 4, 4, 0, 1, 1, 4, 3, 1, 2, 3, 4, 1, 3, 3, 2, 4, 1, 2, 4, 3, 1, 0, 1, 2, 0, 2, 0, 4, 1, 3, 4, 3, 2, 1, 4, 2, 4, 1, 0, 3, 4, 3, 2, 0, 3, 0, 0, 4, 0, 1, 1, 2, 3, 0, 4, 3, 0, 4, 4, 0, 3, 0, 2, 1, 4, 3, 4, 1, 0, 2, 4, 3, 3, 1, 3, 0, 0, 3, 3, 2, 1, 4, 1, 1, 4, 4, 0, 4, 1, 4, 2, 3, 4, 3, 4, 0, 4, 0, 1, 0, 2, 0, 4, 0, 1, 3, 0, 3, 4, 2, 0, 3, 1, 0, 1, 1, 3, 3, 4, 4, 3, 2, 3, 4, 4, 1, 2, 1, 4, 3, 0, 3, 0, 1, 2, 2, 3, 0, 4, 3, 1, 4, 4, 0, 0, 0, 1, 4, 0, 4, 1, 4, 0, 4, 3, 4, 0, 1, 4, 3, 3, 0, 2, 2, 1, 4, 4, 0, 0, 2, 1, 2, 3, 0, 4, 1, 3, 1, 3, 2, 4, 1, 4, 4, 2, 2, 0, 1, 2, 0, 3, 0, 3, 0, 0, 2, 0, 2, 0, 2, 3, 3, 2, 1, 2, 2, 1, 3, 2, 0, 4, 1, 0, 2, 4, 1, 3, 2, 4, 3, 3, 3, 1, 4, 1, 4, 4, 0, 4, 3, 3, 0, 1, 4, 0, 3, 3, 4, 3, 1, 2, 0, 4, 2, 0, 4, 2, 1, 0, 3, 0, 2, 3, 4, 0, 4, 4, 2, 4, 1, 1, 3, 2, 3, 4, 2, 2, 4, 4, 1, 4, 1, 1, 3, 3, 3, 3, 0, 4, 3, 2, 1]
pubkeycol543 = [0, 0, 3, 2, 0, 2, 2, 2, 3, 0, 3, 1, 2, 3, 3, 2, 2, 2, 0, 3, 4, 0, 3, 2, 1, 2, 1, 2, 4, 2, 2, 1, 2, 2, 3, 0, 1, 0, 4, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 3, 1, 1, 1, 4, 1, 0, 0, 3, 2, 3, 1, 0, 0, 2, 1, 0, 2, 3, 4, 3, 2, 1, 0, 2, 3, 0, 3, 3, 0, 3, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 3, 3, 2, 3, 4, 1, 3, 1, 4, 4, 2, 3, 4, 0, 1, 4, 2, 0, 4, 3, 0, 2, 3, 2, 2, 1, 3, 1, 3, 4, 3, 2, 1, 2, 3, 4, 2, 3, 4, 0, 0, 4, 3, 3, 2, 0, 4, 3, 4, 3, 1, 1, 3, 3, 0, 4, 2, 4, 2, 0, 2, 2, 3, 3, 2, 1, 1, 0, 0, 1, 2, 3, 4, 0, 0, 0, 1, 4, 0, 3, 3, 4, 1, 1, 3, 4, 1, 2, 4, 4, 4, 0, 4, 4, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 2, 0, 2, 0, 3, 4, 1, 0, 4, 4, 2, 3, 2, 0, 3, 0, 3, 0, 3, 1, 3, 3, 0, 2, 3, 1, 2, 0, 4, 1, 3, 2, 3, 3, 0, 1, 2, 1, 3, 0, 0, 3, 2, 0, 1, 3, 1, 2, 3, 1, 1, 2, 1, 1, 0, 0, 3, 2, 3, 0, 4, 2, 0, 1, 4, 4, 4, 3, 2, 1, 3, 4, 3, 2, 2, 3, 0, 3, 1, 1, 4, 0, 2, 2, 4, 3, 2, 3, 2, 2, 4, 3, 4, 3, 4, 4, 0, 0, 4, 1, 0, 1, 4, 1, 3, 1, 3, 3, 3, 3, 0, 0, 2, 3, 1, 3, 3, 4, 1, 2, 2, 4, 3, 1, 4, 3, 3, 4, 1, 3, 3, 3, 4, 0, 3, 1, 2, 3, 1, 2, 3, 3, 4, 1, 1, 1, 0, 2, 4, 4, 2, 0, 4, 0, 2, 2, 2, 2, 1, 4, 4, 3, 2, 1, 3, 1, 3, 4, 4, 2, 0, 0, 4, 4, 3, 0, 2, 0, 1, 1, 0, 2, 3, 2, 2, 1, 3, 3, 2, 3, 2, 0, 4, 3, 1, 2, 2, 4, 3, 4, 2, 1, 4, 1, 2, 2, 0, 4, 1, 3, 4, 0, 2, 0, 2, 4, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 4, 0, 1, 4, 0, 2, 0, 3, 0, 1, 1, 3, 0, 2, 0, 0, 3, 3, 4, 4, 2, 3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 1, 1, 4, 0, 2, 1, 2, 2, 3, 2, 3, 3, 2, 0, 0, 0, 4, 3, 3, 3, 1, 3, 0, 0, 4, 0, 3, 1, 0, 4, 0, 1, 2, 4, 1, 0, 3, 4, 0, 0, 2, 4, 3, 0, 1, 0, 0, 3, 4, 1]
pubkeycol544 = [3, 3, 0, 1, 2, 2, 0, 3, 3, 3, 2, 2, 2, 3, 4, 3, 0, 3, 3, 3, 3, 1, 0, 4, 1, 1, 1, 2, 4, 0, 4, 0, 4, 0, 2, 3, 2, 1, 0, 0, 3, 2, 3, 1, 0, 1, 4, 4, 0, 4, 1, 4, 3, 2, 1, 2, 4, 1, 1, 0, 2, 4, 0, 0, 2, 4, 1, 1, 3, 1, 1, 2, 0, 0, 1, 1, 0, 2, 3, 0, 2, 4, 4, 3, 0, 3, 1, 4, 0, 3, 2, 0, 1, 2, 3, 1, 3, 3, 2, 4, 0, 4, 4, 1, 0, 1, 3, 3, 1, 0, 1, 4, 4, 2, 1, 1, 1, 1, 4, 1, 1, 1, 3, 1, 1, 0, 2, 4, 2, 4, 0, 4, 1, 1, 2, 4, 0, 2, 2, 4, 2, 4, 4, 4, 0, 2, 4, 0, 4, 2, 0, 0, 3, 1, 3, 3, 4, 4, 0, 1, 4, 0, 0, 3, 4, 4, 2, 0, 3, 2, 2, 0, 2, 0, 3, 1, 0, 0, 0, 1, 3, 3, 4, 2, 4, 2, 1, 1, 1, 1, 3, 4, 1, 2, 1, 3, 3, 4, 1, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 4, 1, 0, 2, 3, 0, 4, 0, 4, 4, 2, 0, 3, 4, 2, 0, 2, 4, 0, 4, 1, 2, 4, 0, 3, 4, 3, 4, 2, 1, 4, 2, 3, 4, 1, 3, 1, 3, 3, 1, 4, 1, 3, 0, 4, 2, 0, 4, 1, 4, 4, 2, 2, 3, 1, 2, 0, 3, 0, 4, 4, 3, 4, 3, 4, 1, 3, 2, 4, 0, 2, 1, 0, 4, 1, 0, 4, 4, 4, 3, 1, 4, 3, 4, 0, 3, 4, 4, 2, 0, 2, 0, 3, 1, 3, 0, 1, 0, 2, 0, 3, 0, 4, 1, 2, 1, 1, 4, 3, 2, 2, 4, 4, 1, 4, 3, 4, 1, 4, 0, 4, 1, 2, 0, 2, 0, 2, 0, 4, 2, 0, 1, 4, 0, 0, 1, 2, 2, 2, 0, 3, 1, 2, 3, 4, 0, 4, 0, 4, 3, 3, 3, 2, 0, 0, 1, 2, 3, 3, 4, 1, 4, 0, 4, 4, 3, 4, 0, 3, 1, 2, 1, 1, 3, 4, 3, 2, 0, 4, 0, 4, 4, 1, 4, 3, 0, 1, 1, 4, 2, 1, 1, 3, 3, 4, 1, 2, 3, 3, 2, 4, 1, 3, 3, 1, 4, 3, 3, 3, 0, 0, 4, 1, 1, 0, 2, 1, 3, 2, 4, 2, 4, 0, 2, 0, 0, 0, 2, 0, 0, 2, 3, 1, 0, 2, 2, 1, 4, 0, 3, 4, 4, 0, 2, 4, 4, 1, 1, 2, 2, 4, 2, 1, 4, 3, 0, 2, 2, 1, 1, 3, 4, 0, 0, 1, 3, 2, 0, 1, 3, 1, 4, 0, 2, 2, 2, 2, 4, 0, 3, 2, 1, 3, 2, 2, 4, 0, 4, 0, 1, 1, 1, 4, 4, 1, 4]
pubkeycol545 = [0, 0, 1, 3, 0, 2, 3, 4, 0, 2, 4, 4, 4, 3, 1, 2, 4, 2, 0, 0, 2, 1, 3, 2, 3, 0, 3, 3, 3, 0, 0, 3, 3, 4, 1, 3, 0, 3, 1, 2, 1, 2, 4, 1, 2, 0, 1, 3, 0, 4, 0, 3, 4, 4, 4, 0, 0, 1, 3, 4, 3, 3, 1, 0, 0, 0, 1, 3, 0, 2, 4, 0, 1, 4, 2, 4, 2, 4, 4, 3, 2, 0, 3, 0, 4, 1, 2, 0, 4, 1, 1, 3, 0, 4, 4, 2, 0, 3, 2, 2, 1, 4, 4, 4, 1, 2, 4, 0, 4, 3, 4, 3, 1, 4, 1, 0, 3, 2, 1, 4, 0, 2, 2, 4, 4, 3, 4, 4, 0, 1, 0, 4, 3, 3, 2, 1, 4, 3, 4, 1, 3, 0, 1, 2, 1, 3, 0, 4, 3, 0, 0, 2, 2, 4, 0, 1, 0, 3, 4, 2, 0, 1, 3, 1, 4, 4, 2, 2, 1, 4, 3, 3, 0, 3, 0, 0, 4, 3, 2, 3, 0, 0, 3, 0, 3, 2, 3, 3, 3, 2, 1, 3, 0, 4, 1, 4, 2, 1, 3, 1, 4, 3, 4, 0, 4, 3, 1, 3, 4, 1, 4, 1, 3, 0, 0, 1, 2, 2, 3, 1, 0, 2, 0, 3, 0, 2, 4, 0, 2, 4, 0, 4, 0, 4, 3, 0, 2, 3, 1, 1, 3, 3, 1, 1, 2, 3, 4, 4, 2, 1, 2, 3, 4, 4, 4, 0, 3, 3, 0, 0, 0, 2, 0, 1, 3, 2, 2, 1, 2, 1, 2, 2, 2, 0, 4, 0, 4, 1, 2, 3, 0, 3, 4, 1, 0, 1, 2, 3, 2, 4, 2, 2, 0, 0, 4, 4, 4, 4, 4, 4, 2, 3, 4, 0, 3, 2, 3, 0, 2, 0, 0, 0, 1, 4, 4, 0, 2, 4, 2, 2, 4, 0, 3, 0, 1, 4, 2, 1, 4, 4, 2, 3, 3, 1, 2, 1, 0, 1, 2, 3, 1, 0, 4, 3, 0, 0, 2, 0, 2, 3, 2, 1, 1, 0, 3, 0, 0, 0, 1, 1, 3, 1, 0, 0, 3, 0, 1, 1, 4, 0, 2, 2, 2, 3, 0, 2, 4, 3, 4, 3, 2, 2, 0, 1, 3, 4, 0, 1, 2, 0, 0, 2, 3, 4, 1, 1, 4, 0, 0, 4, 3, 3, 3, 2, 3, 0, 4, 1, 1, 0, 0, 3, 0, 2, 3, 1, 2, 0, 4, 4, 4, 0, 2, 0, 4, 1, 1, 3, 4, 1, 2, 2, 2, 1, 3, 4, 2, 2, 4, 4, 1, 3, 2, 4, 2, 1, 0, 3, 4, 0, 1, 2, 1, 0, 3, 2, 2, 4, 3, 3, 3, 3, 2, 4, 3, 3, 4, 1, 2, 1, 4, 4, 4, 1, 3, 0, 4, 3, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 3, 0, 3, 0, 2, 2, 2, 4, 0, 4, 3, 4, 0, 1, 1]
pubkeycol546 = [3, 0, 4, 0, 3, 0, 4, 2, 2, 3, 4, 1, 4, 3, 1, 0, 4, 2, 0, 4, 0, 4, 1, 0, 1, 2, 4, 1, 0, 2, 4, 0, 1, 4, 2, 3, 4, 4, 1, 4, 0, 3, 1, 0, 1, 0, 2, 4, 0, 2, 0, 0, 1, 4, 0, 1, 2, 3, 0, 2, 3, 1, 4, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 4, 3, 0, 1, 0, 0, 4, 3, 1, 3, 1, 2, 4, 4, 4, 2, 4, 4, 1, 2, 4, 0, 0, 1, 2, 2, 3, 4, 2, 3, 4, 3, 0, 0, 0, 0, 2, 2, 1, 4, 3, 4, 2, 0, 2, 3, 3, 3, 2, 2, 1, 4, 4, 0, 2, 1, 2, 4, 3, 0, 1, 0, 3, 0, 4, 3, 2, 1, 4, 0, 3, 0, 2, 0, 0, 3, 4, 1, 2, 4, 3, 4, 4, 1, 2, 1, 3, 3, 4, 3, 1, 1, 2, 4, 1, 3, 0, 2, 1, 3, 2, 2, 2, 1, 3, 0, 0, 4, 0, 2, 4, 3, 2, 3, 2, 2, 4, 0, 0, 2, 3, 3, 0, 3, 3, 4, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 4, 2, 3, 4, 2, 4, 1, 2, 0, 2, 2, 4, 4, 3, 0, 1, 3, 1, 3, 0, 1, 0, 3, 2, 3, 2, 1, 3, 1, 3, 1, 4, 3, 3, 1, 4, 0, 1, 0, 2, 2, 2, 3, 2, 0, 1, 2, 3, 2, 3, 4, 4, 0, 1, 3, 3, 4, 3, 2, 4, 2, 0, 0, 0, 1, 1, 4, 3, 0, 1, 1, 1, 3, 0, 0, 3, 1, 3, 3, 0, 1, 0, 4, 2, 3, 1, 2, 4, 0, 4, 2, 3, 1, 3, 4, 4, 2, 2, 1, 1, 0, 1, 4, 1, 3, 4, 4, 4, 2, 1, 0, 2, 2, 1, 0, 3, 1, 4, 4, 1, 4, 0, 0, 4, 1, 4, 4, 3, 2, 4, 3, 1, 0, 4, 1, 1, 2, 1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 4, 4, 3, 4, 3, 3, 2, 4, 1, 0, 1, 4, 3, 0, 3, 3, 4, 1, 2, 3, 4, 1, 4, 0, 0, 1, 3, 1, 2, 2, 4, 3, 3, 2, 0, 1, 2, 4, 0, 0, 1, 4, 2, 0, 4, 0, 2, 2, 2, 4, 4, 4, 4, 4, 1, 4, 0, 2, 3, 3, 3, 3, 1, 1, 0, 3, 0, 1, 2, 1, 0, 4, 2, 3, 2, 3, 3, 2, 4, 0, 1, 2, 0, 0, 4, 0, 2, 1, 0, 3, 2, 4, 1, 2, 2, 3, 4, 2, 2, 0, 2, 3, 4, 2, 4, 4, 2, 4, 0, 0, 2, 2, 0, 2, 3, 4, 1, 1, 3, 2, 4, 2, 3, 3, 3, 0, 0, 0, 0, 2, 1, 0, 1, 2, 4, 0, 2, 4, 4, 1, 0, 1, 4, 2, 3, 2, 1, 2]
pubkeycol547 = [4, 2, 1, 0, 1, 0, 2, 3, 4, 0, 3, 4, 3, 2, 1, 1, 1, 4, 3, 4, 4, 3, 0, 1, 1, 0, 4, 2, 1, 0, 2, 3, 1, 3, 2, 3, 2, 1, 3, 4, 2, 0, 1, 3, 1, 4, 2, 2, 1, 1, 0, 4, 3, 1, 3, 3, 3, 4, 2, 0, 1, 1, 3, 3, 3, 4, 1, 2, 4, 0, 2, 3, 4, 4, 4, 4, 0, 4, 2, 1, 3, 3, 1, 3, 0, 4, 0, 0, 4, 4, 2, 0, 0, 4, 3, 1, 2, 3, 1, 3, 4, 4, 0, 1, 0, 4, 0, 3, 4, 4, 0, 1, 2, 2, 0, 3, 2, 4, 4, 3, 0, 3, 4, 2, 1, 4, 1, 3, 3, 2, 2, 1, 0, 2, 3, 0, 2, 3, 3, 4, 1, 1, 1, 1, 4, 3, 4, 0, 3, 2, 2, 1, 0, 3, 2, 4, 4, 2, 3, 4, 3, 1, 0, 2, 3, 3, 0, 4, 1, 3, 1, 0, 2, 0, 3, 3, 0, 2, 2, 2, 4, 1, 4, 0, 2, 1, 3, 0, 4, 0, 3, 2, 3, 0, 2, 3, 0, 2, 1, 2, 3, 1, 4, 0, 3, 4, 4, 3, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 3, 1, 3, 2, 2, 1, 2, 1, 3, 2, 0, 2, 3, 3, 0, 3, 1, 3, 0, 0, 2, 2, 0, 1, 2, 0, 4, 4, 1, 1, 1, 3, 2, 1, 0, 4, 0, 3, 4, 0, 4, 0, 0, 0, 0, 3, 4, 4, 1, 1, 3, 2, 3, 3, 0, 1, 1, 4, 2, 0, 0, 3, 0, 2, 4, 0, 3, 2, 3, 1, 3, 1, 0, 0, 3, 0, 2, 2, 3, 3, 0, 2, 3, 1, 0, 4, 4, 4, 0, 1, 1, 4, 0, 4, 3, 0, 3, 0, 4, 2, 3, 4, 0, 2, 3, 1, 4, 2, 0, 0, 3, 3, 4, 4, 1, 3, 3, 4, 2, 0, 2, 1, 3, 4, 0, 3, 1, 0, 0, 3, 2, 0, 4, 3, 1, 1, 0, 0, 1, 3, 4, 1, 4, 4, 0, 4, 3, 3, 1, 1, 4, 4, 3, 2, 4, 2, 3, 2, 0, 2, 1, 4, 4, 0, 4, 3, 3, 2, 4, 0, 3, 4, 2, 0, 3, 0, 3, 3, 2, 1, 0, 2, 3, 4, 1, 0, 3, 0, 1, 3, 4, 3, 0, 1, 2, 4, 3, 1, 3, 0, 4, 1, 1, 3, 4, 4, 0, 1, 3, 3, 4, 1, 1, 3, 0, 3, 4, 1, 3, 3, 1, 0, 1, 1, 0, 0, 0, 2, 2, 4, 4, 0, 0, 3, 0, 3, 4, 0, 3, 1, 4, 2, 2, 3, 1, 0, 4, 4, 2, 1, 1, 0, 2, 1, 0, 1, 2, 4, 3, 3, 1, 4, 4, 4, 4, 3, 3, 1, 2, 2, 3, 4, 3, 0, 2, 4, 3, 2, 3, 4, 2, 3, 0, 2, 0, 3]
pubkeycol548 = [1, 4, 3, 2, 2, 1, 4, 4, 3, 4, 0, 3, 1, 4, 3, 1, 3, 2, 1, 2, 2, 1, 4, 0, 1, 0, 4, 4, 1, 2, 1, 1, 3, 2, 4, 0, 0, 3, 1, 0, 1, 3, 4, 1, 1, 1, 0, 0, 3, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 3, 4, 1, 2, 1, 1, 1, 3, 4, 3, 1, 4, 4, 4, 0, 1, 1, 3, 3, 4, 3, 1, 4, 3, 3, 4, 4, 1, 2, 1, 2, 2, 1, 4, 2, 0, 0, 4, 4, 4, 3, 1, 4, 3, 1, 0, 0, 1, 2, 4, 1, 0, 0, 1, 4, 0, 2, 3, 1, 1, 4, 0, 1, 2, 1, 1, 3, 4, 3, 0, 3, 2, 4, 3, 4, 0, 0, 2, 0, 3, 0, 1, 4, 1, 1, 4, 0, 0, 2, 4, 0, 3, 2, 2, 3, 2, 1, 0, 3, 4, 4, 4, 0, 3, 2, 3, 2, 1, 4, 3, 1, 0, 1, 2, 2, 4, 4, 0, 4, 0, 0, 2, 2, 1, 0, 1, 0, 0, 4, 0, 3, 2, 3, 0, 2, 3, 2, 3, 2, 4, 4, 0, 3, 2, 3, 1, 0, 4, 2, 4, 0, 3, 1, 0, 0, 3, 2, 4, 2, 4, 2, 3, 2, 1, 4, 0, 2, 4, 3, 3, 2, 2, 0, 4, 1, 3, 0, 4, 3, 4, 4, 2, 3, 2, 1, 1, 2, 4, 4, 1, 4, 1, 2, 0, 4, 4, 0, 1, 1, 2, 1, 2, 3, 1, 3, 0, 2, 3, 2, 3, 3, 0, 1, 2, 4, 0, 4, 0, 2, 0, 0, 1, 4, 2, 3, 3, 0, 1, 3, 1, 4, 4, 4, 3, 1, 3, 1, 4, 2, 3, 2, 3, 4, 4, 1, 3, 3, 2, 3, 3, 1, 3, 0, 1, 3, 0, 1, 3, 4, 1, 4, 4, 1, 1, 0, 1, 2, 3, 0, 1, 2, 1, 3, 3, 2, 4, 2, 4, 4, 1, 3, 2, 4, 2, 3, 3, 0, 1, 1, 4, 1, 1, 1, 3, 2, 1, 0, 1, 4, 1, 2, 3, 1, 4, 0, 3, 3, 3, 3, 1, 4, 3, 1, 2, 3, 2, 0, 2, 0, 3, 3, 3, 4, 2, 1, 4, 1, 1, 1, 1, 4, 2, 1, 1, 0, 0, 3, 0, 0, 2, 0, 4, 4, 3, 4, 3, 1, 3, 2, 3, 0, 4, 0, 3, 4, 0, 0, 3, 4, 2, 3, 1, 1, 4, 2, 0, 2, 0, 3, 1, 4, 0, 4, 0, 2, 4, 3, 4, 2, 0, 3, 2, 1, 2, 0, 3, 2, 1, 2, 0, 0, 3, 3, 2, 0, 1, 1, 0, 0, 4, 0, 0, 4, 3, 4, 1, 3, 2, 4, 0, 1, 0, 2, 0, 4, 3, 3, 4, 3, 1, 3, 1, 2, 1, 4, 3, 1, 0, 1, 0, 0, 4, 3, 1, 0, 2, 3, 3, 4]
pubkeycol549 = [4, 0, 2, 1, 0, 4, 0, 2, 4, 3, 2, 4, 1, 0, 0, 4, 2, 1, 3, 0, 4, 0, 0, 1, 2, 3, 0, 3, 2, 2, 0, 3, 1, 4, 1, 1, 0, 4, 0, 1, 4, 4, 4, 4, 3, 1, 3, 3, 4, 1, 0, 3, 1, 3, 3, 2, 1, 2, 4, 2, 3, 1, 2, 3, 0, 2, 0, 3, 2, 1, 4, 1, 0, 3, 1, 0, 4, 2, 4, 2, 0, 2, 1, 1, 0, 4, 1, 3, 1, 3, 4, 3, 4, 2, 0, 1, 3, 2, 3, 1, 0, 0, 3, 3, 0, 2, 0, 3, 4, 4, 1, 2, 1, 2, 4, 1, 0, 3, 2, 0, 0, 3, 2, 1, 1, 3, 3, 4, 4, 3, 4, 0, 0, 1, 2, 3, 3, 0, 4, 2, 3, 2, 4, 1, 4, 0, 2, 2, 1, 3, 2, 3, 4, 0, 4, 2, 2, 0, 3, 2, 1, 4, 2, 0, 2, 4, 0, 1, 4, 1, 4, 2, 4, 3, 3, 4, 2, 2, 1, 4, 2, 1, 0, 3, 1, 1, 4, 1, 4, 2, 0, 0, 4, 4, 0, 2, 2, 0, 3, 2, 1, 2, 2, 0, 2, 4, 0, 4, 1, 2, 0, 0, 1, 2, 0, 0, 4, 1, 3, 4, 0, 2, 0, 3, 0, 2, 2, 0, 1, 2, 0, 3, 4, 0, 3, 1, 2, 2, 1, 3, 2, 3, 2, 2, 0, 0, 0, 3, 1, 0, 0, 4, 2, 3, 4, 3, 2, 1, 0, 3, 1, 3, 1, 1, 3, 4, 4, 2, 0, 0, 3, 4, 4, 4, 0, 1, 3, 2, 1, 3, 4, 3, 1, 1, 2, 2, 3, 2, 0, 1, 0, 0, 3, 1, 4, 0, 3, 1, 3, 3, 2, 0, 4, 2, 2, 2, 4, 0, 2, 3, 2, 3, 4, 2, 3, 3, 0, 0, 3, 2, 4, 0, 3, 1, 1, 2, 2, 1, 3, 2, 1, 2, 4, 3, 3, 2, 3, 1, 2, 3, 0, 4, 3, 3, 0, 4, 0, 0, 3, 2, 1, 0, 2, 4, 0, 4, 4, 4, 3, 3, 2, 4, 3, 1, 2, 2, 4, 1, 1, 1, 3, 4, 2, 4, 3, 2, 2, 2, 1, 0, 4, 4, 2, 3, 0, 1, 3, 2, 2, 4, 1, 1, 1, 2, 4, 1, 4, 0, 1, 3, 2, 2, 0, 4, 2, 2, 1, 4, 3, 3, 0, 4, 4, 3, 2, 4, 2, 2, 0, 4, 1, 2, 2, 3, 3, 1, 2, 2, 3, 1, 0, 1, 0, 2, 1, 0, 0, 0, 3, 4, 2, 4, 2, 2, 4, 1, 2, 2, 3, 2, 0, 3, 0, 2, 4, 4, 3, 2, 2, 4, 2, 1, 4, 4, 0, 2, 1, 2, 3, 3, 0, 3, 3, 3, 1, 2, 3, 3, 3, 4, 2, 1, 1, 0, 2, 1, 3, 2, 2, 1, 1, 0, 2, 4, 0, 1, 3, 3, 2, 3, 1, 1, 0, 4, 0]
pubkeycol550 = [0, 4, 4, 2, 1, 4, 4, 1, 3, 3, 1, 0, 0, 4, 1, 0, 2, 2, 1, 2, 0, 3, 4, 4, 2, 4, 3, 1, 0, 2, 0, 0, 4, 4, 3, 3, 0, 4, 4, 1, 2, 3, 0, 3, 4, 3, 0, 4, 1, 0, 4, 4, 1, 4, 3, 4, 1, 3, 3, 2, 1, 0, 4, 0, 1, 4, 1, 2, 2, 4, 2, 4, 2, 2, 0, 2, 0, 2, 4, 2, 4, 1, 0, 2, 3, 0, 0, 3, 0, 0, 0, 0, 0, 2, 2, 1, 4, 1, 1, 1, 0, 2, 1, 3, 2, 2, 4, 3, 3, 3, 0, 4, 0, 1, 4, 1, 3, 4, 1, 1, 3, 4, 4, 0, 4, 4, 1, 1, 4, 0, 3, 2, 3, 3, 4, 4, 2, 1, 3, 2, 2, 1, 1, 1, 3, 1, 3, 0, 3, 1, 1, 1, 4, 3, 3, 1, 2, 0, 0, 4, 0, 3, 4, 0, 1, 0, 4, 2, 3, 0, 3, 2, 4, 3, 2, 2, 2, 0, 2, 1, 0, 3, 2, 4, 3, 1, 2, 0, 3, 0, 0, 1, 1, 1, 0, 4, 2, 2, 1, 2, 1, 0, 3, 1, 1, 1, 3, 0, 3, 1, 1, 4, 4, 3, 4, 2, 2, 3, 1, 2, 2, 2, 2, 1, 0, 1, 3, 0, 2, 1, 0, 0, 1, 1, 1, 3, 3, 3, 1, 0, 0, 3, 0, 1, 2, 0, 4, 4, 1, 3, 2, 4, 3, 0, 2, 4, 2, 2, 2, 0, 4, 4, 3, 1, 2, 3, 4, 2, 4, 1, 0, 3, 4, 2, 0, 3, 4, 0, 3, 2, 4, 4, 2, 0, 4, 2, 2, 1, 0, 0, 1, 3, 0, 4, 1, 2, 3, 4, 2, 2, 0, 3, 0, 2, 1, 4, 4, 2, 2, 1, 1, 1, 4, 3, 1, 4, 4, 0, 3, 1, 0, 0, 0, 3, 2, 3, 3, 1, 1, 0, 4, 4, 2, 3, 0, 2, 2, 1, 1, 1, 4, 2, 4, 0, 1, 0, 3, 2, 1, 1, 3, 0, 4, 3, 2, 3, 3, 4, 3, 1, 3, 4, 0, 4, 2, 0, 1, 1, 0, 4, 2, 1, 2, 4, 3, 4, 1, 1, 2, 3, 4, 4, 3, 3, 0, 2, 2, 2, 1, 3, 4, 3, 4, 2, 0, 0, 4, 4, 4, 1, 2, 3, 3, 4, 4, 0, 4, 4, 4, 4, 1, 4, 3, 1, 1, 1, 3, 1, 2, 0, 1, 4, 0, 4, 1, 0, 1, 4, 3, 4, 1, 2, 2, 4, 0, 3, 0, 4, 0, 2, 4, 4, 2, 2, 0, 4, 1, 2, 2, 0, 0, 3, 4, 2, 0, 2, 2, 4, 2, 2, 4, 4, 4, 4, 3, 2, 0, 0, 4, 3, 1, 4, 1, 1, 2, 4, 0, 1, 1, 3, 1, 0, 1, 2, 4, 3, 2, 0, 1, 3, 3, 0, 2, 4, 2, 1, 3, 4, 2, 3, 3, 3, 1, 2, 1]
pubkeycol551 = [4, 1, 1, 4, 1, 0, 3, 4, 2, 4, 3, 2, 1, 3, 3, 2, 3, 1, 4, 0, 4, 2, 4, 1, 1, 0, 0, 1, 0, 2, 3, 1, 1, 3, 3, 3, 2, 4, 2, 4, 1, 1, 3, 4, 2, 4, 0, 3, 3, 0, 0, 4, 3, 0, 1, 4, 4, 4, 2, 1, 2, 4, 1, 1, 4, 3, 1, 2, 4, 3, 2, 4, 2, 4, 4, 4, 3, 2, 4, 4, 4, 4, 1, 2, 0, 0, 2, 0, 4, 1, 1, 0, 1, 2, 4, 4, 4, 2, 2, 1, 0, 0, 1, 0, 3, 0, 1, 2, 4, 3, 1, 4, 2, 1, 4, 1, 0, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 2, 4, 0, 4, 4, 2, 4, 4, 2, 2, 2, 4, 4, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 3, 4, 1, 3, 4, 0, 3, 2, 0, 0, 0, 4, 2, 4, 0, 0, 3, 3, 0, 0, 2, 4, 4, 1, 0, 3, 3, 0, 1, 2, 3, 0, 2, 0, 2, 4, 1, 4, 3, 4, 4, 0, 2, 0, 4, 1, 3, 3, 1, 2, 2, 2, 1, 0, 3, 3, 2, 0, 3, 4, 0, 1, 4, 2, 0, 4, 2, 1, 4, 4, 0, 0, 4, 2, 0, 3, 0, 3, 3, 2, 1, 3, 4, 3, 0, 1, 4, 4, 3, 3, 4, 4, 2, 4, 3, 0, 1, 4, 0, 3, 0, 3, 1, 2, 0, 1, 2, 0, 1, 4, 4, 0, 0, 0, 0, 3, 4, 2, 4, 1, 1, 2, 0, 1, 1, 4, 4, 0, 2, 3, 0, 2, 2, 3, 3, 3, 0, 2, 1, 0, 2, 0, 2, 0, 3, 4, 1, 1, 1, 1, 2, 3, 1, 4, 3, 3, 1, 0, 2, 3, 0, 3, 0, 1, 3, 1, 4, 0, 4, 1, 1, 3, 2, 0, 3, 2, 3, 3, 1, 2, 1, 0, 0, 3, 2, 1, 1, 4, 0, 3, 4, 1, 0, 2, 1, 1, 4, 3, 0, 4, 4, 2, 1, 1, 3, 1, 3, 4, 2, 0, 4, 0, 2, 0, 4, 2, 1, 3, 0, 3, 1, 1, 2, 1, 3, 4, 1, 2, 3, 0, 4, 3, 4, 0, 1, 0, 2, 1, 2, 4, 0, 0, 1, 3, 2, 3, 2, 3, 0, 4, 4, 4, 4, 2, 3, 4, 3, 2, 0, 1, 1, 4, 1, 0, 4, 4, 1, 1, 3, 3, 2, 4, 1, 0, 3, 1, 2, 3, 1, 2, 3, 1, 3, 4, 4, 2, 3, 1, 2, 0, 4, 2, 2, 2, 4, 1, 4, 2, 0, 1, 3, 0, 2, 2, 1, 0, 4, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 4, 3, 2, 2, 1, 2, 2, 2, 0, 4, 0, 4, 1, 0, 1, 0, 4, 1, 2, 0, 3, 4, 1, 4, 2, 4, 0, 3, 4]
pubkeycol552 = [4, 4, 3, 4, 1, 3, 4, 3, 2, 3, 2, 0, 2, 2, 0, 1, 3, 4, 1, 0, 0, 2, 4, 4, 0, 2, 2, 0, 4, 1, 1, 1, 0, 0, 4, 2, 3, 1, 4, 3, 3, 2, 2, 3, 3, 1, 3, 0, 2, 0, 0, 1, 0, 2, 3, 0, 4, 0, 1, 2, 0, 3, 4, 3, 1, 4, 2, 0, 0, 2, 2, 3, 2, 4, 2, 4, 4, 4, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 3, 3, 2, 3, 0, 2, 1, 0, 2, 3, 3, 4, 3, 3, 1, 4, 1, 2, 2, 1, 0, 4, 1, 0, 2, 1, 4, 2, 1, 4, 2, 2, 4, 3, 4, 3, 3, 2, 2, 0, 4, 0, 0, 0, 4, 3, 4, 1, 3, 2, 0, 1, 4, 2, 2, 0, 0, 0, 0, 2, 4, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 3, 3, 3, 0, 1, 2, 4, 2, 2, 0, 3, 3, 3, 1, 1, 4, 2, 3, 1, 0, 0, 1, 2, 1, 4, 1, 3, 1, 3, 3, 0, 0, 3, 2, 0, 4, 2, 0, 0, 3, 0, 3, 0, 1, 1, 3, 4, 0, 3, 4, 0, 0, 0, 4, 0, 2, 1, 3, 3, 1, 0, 4, 4, 4, 1, 1, 3, 0, 2, 3, 0, 4, 3, 0, 4, 3, 3, 4, 2, 3, 3, 2, 1, 2, 3, 0, 2, 4, 3, 1, 0, 3, 1, 1, 2, 1, 4, 0, 1, 3, 1, 0, 3, 4, 3, 1, 2, 1, 0, 2, 1, 2, 3, 4, 0, 3, 3, 2, 0, 1, 1, 1, 3, 3, 2, 2, 4, 3, 0, 2, 0, 3, 1, 4, 4, 0, 4, 0, 4, 3, 4, 0, 3, 1, 1, 3, 0, 2, 4, 0, 3, 4, 1, 2, 3, 3, 0, 0, 0, 4, 0, 0, 3, 3, 1, 2, 4, 1, 0, 4, 3, 2, 1, 1, 3, 0, 1, 4, 2, 1, 3, 2, 4, 0, 4, 0, 0, 1, 3, 1, 3, 0, 0, 4, 0, 4, 0, 1, 0, 2, 1, 2, 3, 1, 4, 3, 4, 0, 0, 2, 0, 4, 3, 3, 4, 1, 2, 0, 1, 4, 3, 2, 4, 2, 4, 2, 0, 1, 4, 2, 0, 1, 4, 0, 4, 4, 0, 4, 2, 4, 0, 0, 3, 4, 0, 2, 2, 4, 1, 3, 0, 1, 3, 4, 2, 3, 4, 1, 4, 1, 4, 0, 3, 2, 0, 0, 0, 3, 3, 1, 3, 4, 2, 2, 1, 4, 1, 4, 1, 2, 1, 2, 4, 0, 2, 0, 1, 0, 3, 1, 2, 4, 4, 3, 4, 4, 2, 0, 1, 4, 0, 0, 2, 0, 4, 2, 4, 4, 3, 1, 0, 1, 2, 1, 3, 2, 1, 1, 3, 3, 2, 3, 1, 0, 1, 0, 2, 2, 2, 4, 3, 3, 3, 2, 1, 3, 4, 0, 3, 3, 0, 2]
pubkeycol553 = [0, 3, 3, 4, 3, 4, 0, 2, 4, 3, 3, 1, 1, 2, 2, 4, 3, 2, 3, 0, 1, 2, 4, 0, 2, 3, 0, 1, 4, 3, 0, 4, 3, 3, 4, 3, 1, 1, 3, 0, 1, 2, 3, 4, 1, 0, 0, 1, 3, 2, 2, 1, 4, 4, 0, 2, 4, 0, 4, 3, 1, 3, 1, 2, 3, 2, 0, 1, 0, 1, 3, 1, 2, 2, 4, 1, 1, 3, 3, 1, 3, 1, 1, 4, 0, 0, 3, 1, 1, 0, 1, 2, 0, 3, 1, 1, 2, 3, 0, 3, 4, 4, 0, 1, 2, 1, 1, 4, 2, 3, 1, 3, 1, 1, 2, 0, 3, 3, 0, 2, 0, 1, 2, 2, 1, 0, 4, 2, 2, 3, 4, 2, 0, 3, 4, 4, 2, 3, 3, 1, 4, 4, 3, 1, 4, 1, 2, 4, 2, 0, 1, 0, 4, 3, 1, 4, 1, 3, 2, 0, 3, 3, 0, 0, 4, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 4, 1, 1, 3, 4, 3, 2, 3, 3, 2, 1, 0, 3, 4, 4, 1, 0, 2, 2, 2, 4, 3, 4, 4, 3, 1, 2, 2, 3, 4, 2, 2, 0, 2, 2, 3, 2, 1, 0, 2, 3, 3, 2, 3, 0, 0, 2, 0, 0, 4, 4, 3, 4, 2, 1, 4, 0, 2, 4, 2, 1, 2, 4, 4, 3, 3, 3, 4, 3, 2, 0, 4, 2, 0, 3, 1, 2, 0, 2, 1, 3, 0, 1, 3, 3, 4, 3, 1, 3, 3, 1, 1, 1, 4, 2, 4, 0, 3, 3, 3, 0, 4, 4, 2, 0, 2, 0, 3, 1, 2, 4, 0, 3, 1, 3, 2, 0, 1, 3, 4, 0, 1, 1, 0, 2, 0, 0, 3, 1, 4, 2, 4, 4, 4, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 4, 2, 3, 2, 1, 4, 0, 0, 0, 4, 4, 0, 2, 1, 2, 3, 2, 1, 2, 1, 3, 3, 0, 4, 4, 4, 4, 4, 4, 1, 1, 2, 0, 3, 2, 0, 1, 4, 3, 3, 0, 4, 0, 2, 2, 0, 4, 1, 2, 0, 3, 2, 0, 4, 1, 3, 4, 2, 0, 3, 4, 0, 1, 4, 2, 2, 4, 3, 1, 2, 0, 0, 3, 0, 4, 4, 4, 2, 1, 4, 4, 1, 1, 4, 1, 4, 1, 2, 4, 0, 0, 1, 2, 0, 4, 1, 4, 4, 4, 4, 4, 0, 1, 0, 0, 0, 3, 4, 2, 0, 4, 3, 3, 0, 3, 2, 2, 0, 1, 3, 4, 3, 2, 4, 2, 0, 4, 4, 0, 3, 0, 0, 3, 2, 3, 1, 3, 3, 4, 2, 4, 1, 2, 0, 2, 2, 2, 0, 0, 4, 0, 3, 1, 3, 1, 2, 2, 0, 4, 4, 3, 3, 0, 2, 4, 3, 1, 1, 4, 3, 2, 3, 3, 3, 0, 3, 1, 2, 4, 2, 1, 0, 3, 2, 1, 2]
pubkeycol554 = [4, 3, 3, 1, 4, 4, 4, 2, 1, 2, 4, 4, 4, 1, 4, 3, 4, 1, 4, 0, 4, 1, 1, 2, 3, 1, 4, 1, 2, 0, 3, 4, 4, 0, 4, 1, 1, 2, 3, 4, 0, 1, 4, 1, 0, 4, 0, 3, 2, 1, 3, 2, 1, 4, 1, 4, 3, 4, 3, 2, 3, 4, 1, 2, 4, 4, 4, 2, 3, 2, 0, 4, 3, 3, 3, 1, 1, 4, 3, 3, 4, 2, 2, 3, 2, 3, 2, 0, 4, 4, 3, 3, 3, 3, 1, 3, 0, 0, 2, 4, 4, 3, 3, 3, 0, 4, 1, 2, 4, 3, 2, 4, 2, 1, 4, 0, 0, 4, 1, 0, 3, 0, 3, 2, 1, 2, 1, 1, 0, 4, 3, 4, 0, 1, 2, 1, 2, 0, 3, 2, 2, 4, 3, 0, 1, 2, 4, 0, 3, 1, 2, 1, 0, 3, 4, 1, 4, 3, 0, 2, 2, 1, 3, 1, 0, 3, 3, 1, 4, 3, 0, 2, 3, 2, 4, 0, 3, 2, 0, 3, 3, 0, 4, 3, 0, 1, 3, 1, 2, 0, 3, 3, 0, 0, 2, 3, 3, 0, 2, 2, 2, 2, 3, 4, 2, 2, 1, 2, 2, 3, 4, 3, 2, 2, 3, 3, 2, 0, 1, 3, 1, 1, 0, 2, 2, 0, 2, 4, 0, 0, 0, 3, 2, 3, 3, 1, 0, 4, 3, 0, 2, 2, 4, 0, 2, 0, 0, 1, 1, 3, 0, 4, 0, 4, 3, 3, 4, 4, 1, 0, 3, 4, 4, 3, 3, 0, 3, 3, 2, 4, 2, 2, 3, 3, 4, 2, 0, 0, 3, 3, 1, 1, 3, 0, 2, 3, 2, 0, 3, 3, 2, 1, 1, 1, 2, 4, 2, 0, 2, 1, 0, 4, 3, 0, 2, 1, 0, 3, 1, 0, 4, 0, 0, 1, 1, 0, 1, 2, 4, 0, 3, 1, 3, 1, 1, 0, 3, 0, 3, 0, 0, 2, 4, 2, 2, 2, 2, 2, 2, 0, 1, 3, 2, 3, 2, 0, 1, 3, 3, 0, 2, 4, 3, 2, 2, 0, 4, 3, 3, 3, 4, 2, 4, 3, 0, 1, 3, 3, 4, 2, 3, 3, 0, 1, 4, 1, 3, 3, 4, 1, 1, 1, 3, 4, 2, 3, 3, 2, 0, 4, 3, 4, 2, 1, 4, 3, 0, 4, 4, 4, 4, 0, 4, 3, 4, 2, 3, 1, 3, 1, 2, 2, 2, 4, 4, 3, 1, 3, 1, 0, 2, 2, 0, 3, 1, 1, 1, 1, 2, 2, 3, 4, 3, 0, 2, 3, 3, 4, 4, 1, 2, 0, 1, 2, 3, 3, 0, 2, 2, 2, 4, 3, 1, 4, 2, 1, 4, 3, 4, 3, 0, 0, 1, 4, 1, 1, 4, 3, 2, 2, 1, 2, 4, 0, 3, 4, 4, 3, 4, 1, 3, 0, 3, 0, 0, 3, 2, 1, 4, 0, 0, 3, 4, 0, 3, 3, 4, 3, 4, 4, 4, 1, 3, 3, 1]
pubkeycol555 = [2, 3, 1, 1, 0, 3, 0, 2, 1, 1, 1, 1, 3, 4, 2, 1, 0, 2, 1, 0, 2, 0, 1, 3, 4, 3, 1, 1, 1, 2, 0, 4, 3, 1, 2, 2, 0, 3, 0, 1, 4, 3, 3, 0, 3, 2, 2, 0, 2, 3, 0, 1, 3, 1, 2, 1, 0, 1, 1, 0, 3, 2, 4, 3, 1, 2, 0, 3, 3, 2, 3, 0, 1, 0, 4, 2, 2, 3, 3, 4, 0, 4, 4, 1, 4, 3, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 3, 3, 0, 1, 2, 0, 1, 0, 4, 1, 2, 1, 0, 3, 1, 2, 0, 4, 0, 3, 1, 0, 1, 1, 0, 4, 4, 1, 4, 3, 0, 3, 4, 2, 0, 2, 0, 0, 4, 2, 1, 0, 2, 4, 3, 3, 0, 2, 3, 2, 3, 4, 0, 2, 2, 3, 3, 2, 4, 1, 1, 1, 2, 3, 4, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 3, 0, 2, 0, 1, 2, 3, 4, 4, 2, 2, 1, 1, 2, 2, 3, 4, 1, 2, 3, 2, 1, 1, 1, 2, 4, 4, 0, 0, 4, 4, 3, 1, 3, 3, 0, 4, 1, 2, 2, 0, 0, 0, 1, 4, 1, 4, 3, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 1, 3, 3, 1, 3, 4, 4, 4, 3, 0, 4, 3, 2, 2, 1, 4, 3, 3, 2, 4, 1, 4, 1, 0, 2, 2, 0, 0, 4, 0, 1, 1, 4, 0, 2, 3, 4, 1, 3, 3, 4, 2, 0, 3, 3, 1, 4, 3, 0, 4, 1, 1, 0, 3, 2, 4, 1, 2, 3, 0, 3, 0, 2, 2, 2, 4, 1, 4, 2, 2, 1, 4, 1, 1, 1, 2, 1, 0, 1, 3, 3, 0, 4, 4, 4, 2, 2, 0, 1, 0, 1, 3, 0, 1, 1, 4, 2, 0, 4, 4, 2, 3, 4, 0, 3, 1, 4, 1, 3, 1, 0, 2, 4, 0, 0, 0, 0, 3, 3, 1, 4, 4, 3, 3, 0, 0, 2, 0, 2, 1, 0, 3, 3, 2, 3, 0, 2, 1, 0, 4, 1, 4, 3, 1, 4, 1, 3, 0, 2, 4, 2, 4, 4, 2, 3, 0, 3, 3, 3, 3, 4, 0, 1, 4, 0, 3, 2, 1, 3, 4, 4, 2, 4, 3, 1, 3, 1, 3, 2, 4, 2, 3, 4, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 4, 0, 3, 0, 1, 0, 0, 4, 4, 0, 1, 0, 4, 4, 1, 2, 4, 0, 2, 2, 1, 4, 0, 0, 0, 3, 3, 3, 4, 2, 3, 3, 0, 3, 1, 3, 4, 1, 4, 1, 0, 4, 2, 0, 3, 1, 2, 1, 3, 0, 0, 0, 4, 4, 2, 0, 4, 3, 2, 2, 4, 1, 0, 4, 0, 1, 0, 2, 4, 2, 4, 0, 2, 3, 4, 2, 2, 1, 2, 3, 3, 1]
pubkeycol556 = [3, 0, 3, 4, 2, 4, 4, 1, 1, 3, 3, 2, 4, 3, 1, 3, 2, 3, 0, 4, 4, 0, 0, 4, 1, 4, 2, 4, 3, 2, 0, 0, 0, 3, 0, 0, 2, 1, 0, 1, 4, 4, 4, 0, 1, 3, 4, 1, 3, 0, 3, 4, 3, 3, 0, 4, 0, 0, 2, 1, 4, 1, 3, 4, 4, 1, 3, 4, 0, 3, 2, 3, 2, 4, 1, 0, 4, 2, 2, 3, 0, 1, 2, 1, 2, 3, 0, 2, 4, 1, 1, 4, 0, 2, 4, 1, 2, 2, 4, 0, 4, 2, 2, 4, 3, 1, 1, 3, 1, 3, 3, 3, 4, 2, 3, 0, 2, 1, 0, 2, 0, 2, 3, 3, 3, 0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 1, 3, 4, 2, 4, 2, 3, 0, 3, 4, 3, 0, 2, 2, 4, 2, 2, 1, 3, 4, 2, 3, 1, 3, 0, 3, 0, 1, 4, 2, 1, 4, 3, 3, 0, 1, 4, 2, 1, 1, 3, 3, 2, 3, 3, 4, 2, 4, 3, 2, 4, 1, 0, 4, 3, 3, 1, 3, 2, 0, 0, 2, 0, 2, 1, 3, 1, 0, 4, 2, 2, 1, 3, 1, 2, 3, 1, 4, 2, 0, 2, 1, 4, 1, 3, 1, 1, 2, 0, 0, 0, 3, 1, 1, 3, 2, 3, 0, 1, 1, 1, 1, 3, 4, 2, 3, 4, 2, 2, 4, 3, 1, 2, 4, 0, 1, 2, 2, 1, 0, 0, 3, 1, 4, 2, 0, 1, 4, 3, 2, 2, 4, 3, 4, 4, 4, 1, 0, 3, 1, 1, 0, 2, 1, 2, 0, 2, 3, 1, 1, 0, 3, 4, 3, 4, 4, 3, 2, 2, 3, 1, 2, 2, 4, 2, 1, 0, 4, 4, 2, 1, 0, 2, 1, 4, 3, 3, 1, 4, 1, 3, 1, 3, 0, 0, 2, 3, 4, 2, 0, 3, 3, 4, 2, 2, 1, 4, 3, 0, 3, 1, 0, 1, 0, 0, 3, 4, 3, 3, 2, 0, 0, 0, 4, 0, 0, 0, 3, 2, 2, 2, 2, 0, 1, 0, 2, 3, 1, 0, 1, 2, 2, 4, 1, 4, 3, 0, 2, 3, 0, 4, 4, 0, 2, 3, 1, 1, 2, 2, 4, 4, 3, 1, 0, 2, 4, 3, 1, 2, 1, 3, 4, 4, 1, 3, 1, 3, 2, 1, 0, 4, 3, 3, 4, 4, 4, 4, 1, 2, 0, 3, 3, 2, 1, 2, 2, 4, 3, 0, 3, 3, 3, 0, 2, 0, 2, 3, 4, 4, 3, 4, 1, 1, 4, 4, 1, 1, 3, 3, 0, 0, 1, 4, 0, 2, 0, 3, 0, 2, 4, 3, 1, 0, 2, 0, 1, 2, 3, 2, 3, 0, 0, 2, 4, 0, 4, 1, 0, 1, 0, 3, 4, 2, 0, 1, 1, 1, 4, 4, 1, 1, 2, 4, 3, 1, 1, 3, 0, 4, 3, 4, 3, 2, 1, 4, 2, 1, 2, 0, 3]
pubkeycol557 = [4, 2, 1, 2, 4, 0, 4, 1, 0, 1, 2, 0, 2, 4, 2, 3, 3, 3, 4, 2, 3, 4, 1, 3, 1, 4, 4, 2, 0, 4, 4, 1, 0, 2, 0, 0, 2, 3, 1, 4, 4, 0, 2, 4, 3, 4, 0, 0, 3, 2, 2, 2, 3, 4, 4, 3, 4, 2, 4, 0, 0, 0, 2, 4, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 4, 2, 1, 1, 3, 4, 0, 4, 4, 0, 2, 3, 0, 2, 1, 4, 2, 4, 3, 0, 0, 3, 1, 2, 1, 1, 3, 1, 1, 2, 4, 3, 3, 3, 1, 1, 4, 0, 3, 4, 3, 0, 4, 1, 1, 0, 0, 1, 2, 3, 4, 3, 0, 4, 0, 0, 1, 4, 4, 2, 2, 4, 4, 0, 0, 4, 3, 2, 3, 4, 0, 3, 0, 2, 1, 3, 2, 3, 4, 4, 2, 4, 2, 3, 3, 3, 4, 1, 4, 2, 3, 2, 0, 0, 1, 4, 4, 3, 4, 2, 1, 0, 4, 2, 2, 1, 2, 4, 1, 4, 3, 1, 4, 4, 2, 0, 2, 3, 2, 0, 1, 4, 2, 2, 4, 3, 3, 1, 1, 0, 1, 1, 4, 4, 0, 0, 1, 0, 0, 0, 1, 2, 4, 4, 3, 4, 1, 4, 0, 3, 4, 4, 2, 1, 3, 4, 2, 0, 3, 1, 0, 4, 4, 0, 3, 2, 3, 4, 3, 3, 0, 4, 4, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 3, 2, 4, 3, 2, 3, 0, 2, 1, 0, 4, 4, 1, 1, 3, 1, 3, 2, 2, 0, 2, 2, 4, 3, 0, 3, 2, 2, 4, 3, 2, 4, 3, 2, 1, 1, 1, 0, 3, 0, 0, 3, 2, 3, 4, 2, 2, 1, 0, 4, 4, 3, 2, 3, 1, 0, 3, 3, 0, 2, 3, 4, 1, 0, 0, 0, 3, 2, 1, 0, 4, 2, 0, 0, 2, 4, 2, 4, 1, 4, 3, 3, 1, 2, 4, 2, 4, 3, 3, 0, 0, 0, 4, 2, 0, 2, 0, 0, 0, 2, 4, 1, 2, 4, 3, 3, 4, 1, 4, 2, 1, 3, 2, 4, 2, 2, 2, 4, 4, 3, 3, 0, 0, 2, 4, 0, 1, 0, 3, 4, 1, 1, 4, 1, 0, 4, 2, 3, 3, 4, 4, 1, 3, 4, 0, 1, 3, 1, 3, 3, 1, 3, 0, 4, 0, 1, 0, 2, 0, 3, 4, 1, 3, 1, 3, 1, 3, 3, 3, 0, 3, 3, 4, 3, 1, 4, 3, 0, 0, 3, 4, 4, 4, 4, 1, 0, 1, 3, 4, 1, 3, 4, 4, 3, 2, 4, 3, 3, 4, 0, 3, 4, 3, 0, 2, 4, 0, 4, 0, 3, 1, 2, 3, 4, 0, 4, 0, 3, 2, 3, 0, 2, 4, 0, 0, 3, 0, 3, 3, 0, 4, 3, 4, 0, 0, 1, 4, 2, 2, 4, 1, 2, 1, 0, 3, 0]
pubkeycol558 = [3, 1, 2, 0, 2, 1, 2, 2, 3, 0, 1, 1, 0, 3, 4, 1, 1, 0, 0, 4, 4, 0, 1, 1, 4, 1, 1, 1, 0, 0, 1, 1, 4, 0, 4, 0, 0, 1, 3, 0, 0, 0, 3, 4, 3, 2, 2, 2, 1, 0, 0, 1, 4, 3, 4, 4, 1, 4, 2, 0, 0, 3, 2, 3, 3, 2, 0, 4, 2, 2, 4, 1, 3, 3, 4, 0, 1, 4, 1, 3, 2, 3, 3, 2, 3, 1, 1, 3, 1, 4, 0, 2, 0, 1, 0, 2, 3, 1, 0, 0, 1, 1, 2, 3, 4, 2, 4, 3, 2, 3, 2, 0, 3, 3, 1, 0, 4, 4, 4, 1, 0, 4, 3, 4, 1, 1, 1, 1, 3, 3, 2, 0, 0, 2, 3, 2, 1, 3, 2, 1, 3, 4, 2, 1, 0, 1, 3, 0, 2, 2, 1, 0, 2, 3, 0, 2, 2, 4, 2, 3, 0, 1, 3, 4, 3, 3, 4, 1, 4, 4, 1, 1, 3, 2, 4, 4, 4, 1, 3, 1, 4, 2, 0, 2, 1, 4, 1, 2, 1, 4, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 3, 0, 4, 2, 1, 3, 1, 2, 3, 1, 3, 0, 0, 2, 0, 4, 2, 4, 4, 1, 4, 3, 0, 4, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 3, 4, 4, 2, 4, 3, 4, 0, 1, 2, 1, 4, 4, 4, 1, 4, 0, 3, 2, 0, 1, 2, 2, 2, 3, 2, 1, 1, 2, 0, 1, 4, 4, 4, 2, 4, 3, 3, 4, 3, 3, 1, 3, 3, 4, 0, 0, 1, 3, 2, 3, 2, 4, 3, 2, 1, 0, 3, 0, 2, 1, 0, 2, 2, 2, 3, 4, 2, 4, 1, 1, 0, 2, 0, 3, 3, 3, 2, 0, 3, 2, 2, 1, 1, 1, 3, 0, 4, 0, 0, 0, 1, 0, 0, 4, 0, 0, 4, 3, 4, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 4, 0, 2, 4, 4, 1, 4, 0, 3, 2, 1, 2, 1, 0, 0, 1, 4, 0, 2, 1, 0, 1, 1, 4, 4, 1, 0, 0, 0, 4, 1, 2, 0, 4, 3, 4, 0, 2, 1, 2, 4, 3, 1, 3, 3, 4, 1, 2, 2, 4, 4, 1, 4, 0, 0, 0, 1, 2, 0, 0, 3, 3, 0, 4, 3, 4, 3, 1, 3, 4, 3, 3, 4, 3, 4, 0, 2, 1, 3, 0, 0, 2, 1, 4, 2, 2, 4, 4, 3, 4, 3, 3, 2, 0, 0, 4, 3, 3, 1, 3, 0, 4, 1, 3, 2, 1, 2, 1, 2, 1, 4, 2, 2, 3, 3, 0, 0, 1, 1, 2, 4, 2, 2, 1, 4, 2, 3, 1, 4, 3, 1, 1, 0, 4, 3, 2, 2, 4, 3, 2, 3, 4, 1, 0, 3, 4, 3, 4, 1, 1, 2, 4, 3, 4, 1, 3]
pubkeycol559 = [4, 2, 1, 1, 4, 4, 1, 3, 1, 4, 1, 2, 2, 1, 4, 0, 2, 2, 0, 1, 2, 0, 1, 2, 4, 3, 0, 0, 4, 4, 1, 3, 1, 1, 3, 1, 0, 3, 3, 1, 0, 0, 1, 2, 3, 2, 2, 0, 4, 3, 1, 3, 2, 2, 1, 4, 3, 4, 2, 1, 0, 2, 1, 1, 2, 4, 0, 0, 3, 0, 1, 1, 3, 2, 1, 0, 4, 2, 4, 3, 2, 0, 3, 0, 0, 3, 2, 2, 0, 2, 1, 0, 4, 3, 2, 2, 4, 3, 3, 4, 3, 1, 4, 1, 0, 2, 4, 3, 0, 1, 4, 4, 3, 4, 4, 0, 4, 0, 2, 0, 0, 0, 2, 1, 4, 0, 1, 3, 4, 1, 2, 3, 4, 3, 2, 0, 0, 0, 0, 1, 3, 1, 1, 1, 1, 3, 3, 0, 0, 2, 4, 4, 3, 1, 3, 1, 2, 3, 1, 0, 0, 1, 2, 0, 0, 3, 0, 3, 3, 4, 1, 0, 3, 3, 4, 1, 3, 4, 1, 2, 1, 3, 3, 4, 3, 0, 3, 0, 2, 4, 1, 1, 0, 2, 3, 1, 0, 3, 4, 4, 2, 0, 1, 3, 4, 0, 1, 4, 0, 1, 3, 1, 2, 4, 1, 4, 4, 0, 3, 1, 3, 2, 3, 0, 2, 4, 2, 0, 3, 3, 2, 4, 3, 3, 4, 1, 1, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 3, 2, 3, 2, 0, 4, 1, 1, 3, 1, 3, 1, 1, 1, 0, 4, 0, 3, 0, 4, 1, 1, 1, 1, 4, 1, 4, 2, 0, 1, 1, 2, 0, 1, 1, 2, 3, 1, 1, 4, 1, 3, 4, 1, 3, 2, 4, 2, 0, 0, 1, 4, 3, 3, 0, 3, 1, 4, 4, 0, 1, 4, 3, 2, 0, 3, 4, 1, 1, 4, 1, 3, 1, 1, 4, 4, 0, 2, 3, 0, 2, 2, 3, 1, 1, 1, 0, 0, 4, 2, 1, 3, 2, 2, 3, 0, 3, 0, 4, 0, 0, 3, 0, 4, 4, 3, 4, 0, 4, 0, 3, 1, 1, 2, 4, 3, 1, 4, 1, 1, 2, 2, 4, 0, 3, 4, 3, 0, 3, 0, 2, 1, 4, 2, 4, 1, 2, 2, 4, 0, 0, 1, 3, 4, 0, 1, 2, 3, 0, 3, 4, 3, 2, 1, 2, 3, 1, 3, 1, 2, 1, 4, 0, 3, 2, 3, 3, 4, 3, 2, 0, 3, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 4, 4, 2, 3, 0, 2, 2, 2, 4, 2, 4, 4, 0, 2, 3, 0, 1, 1, 4, 4, 4, 1, 0, 0, 1, 4, 0, 0, 0, 4, 4, 1, 0, 1, 2, 1, 4, 4, 4, 0, 4, 3, 4, 4, 1, 0, 4, 0, 3, 1, 2, 3, 1, 4, 1, 1, 0, 1, 3, 3, 2, 2, 2, 0, 0, 0, 1, 3, 1, 2, 0, 3, 1]
pubkeycol560 = [2, 0, 0, 2, 1, 3, 0, 2, 4, 4, 1, 0, 0, 4, 3, 1, 2, 0, 0, 3, 3, 3, 0, 2, 2, 3, 2, 0, 3, 1, 2, 3, 3, 0, 0, 0, 0, 4, 2, 0, 1, 3, 0, 1, 2, 3, 4, 1, 4, 1, 1, 2, 0, 0, 1, 0, 3, 1, 2, 1, 2, 2, 4, 0, 0, 1, 2, 3, 2, 4, 4, 1, 2, 2, 3, 3, 0, 4, 2, 4, 4, 1, 1, 0, 4, 2, 0, 0, 3, 3, 4, 0, 2, 1, 2, 4, 0, 3, 4, 0, 0, 1, 1, 4, 3, 3, 0, 3, 2, 1, 2, 1, 2, 1, 3, 4, 1, 3, 1, 3, 2, 0, 2, 1, 4, 2, 4, 0, 3, 3, 1, 2, 1, 4, 4, 2, 3, 0, 2, 3, 2, 4, 1, 0, 1, 1, 2, 3, 4, 4, 0, 3, 0, 4, 1, 3, 2, 1, 4, 1, 3, 2, 3, 1, 1, 4, 2, 1, 1, 0, 4, 0, 2, 2, 1, 1, 1, 2, 4, 2, 2, 0, 4, 2, 1, 0, 2, 0, 0, 3, 0, 0, 2, 2, 3, 2, 4, 2, 0, 4, 1, 4, 3, 4, 1, 0, 2, 4, 0, 3, 1, 3, 3, 3, 2, 2, 0, 4, 4, 3, 1, 4, 4, 3, 4, 2, 2, 0, 3, 1, 2, 0, 1, 4, 0, 4, 0, 1, 4, 3, 1, 0, 2, 2, 0, 2, 1, 3, 1, 1, 1, 3, 2, 3, 3, 4, 4, 1, 3, 0, 2, 0, 4, 0, 3, 4, 0, 3, 0, 1, 4, 1, 1, 2, 0, 1, 2, 1, 4, 2, 3, 1, 0, 0, 3, 1, 0, 0, 2, 0, 0, 4, 3, 3, 3, 3, 1, 3, 3, 0, 3, 2, 1, 3, 3, 1, 4, 3, 0, 4, 4, 4, 3, 2, 4, 1, 1, 2, 0, 2, 3, 2, 0, 1, 4, 0, 1, 0, 2, 3, 1, 0, 3, 1, 0, 0, 4, 0, 0, 4, 3, 1, 3, 0, 0, 2, 4, 1, 1, 0, 0, 0, 0, 0, 4, 2, 4, 2, 3, 0, 4, 0, 0, 2, 4, 4, 2, 4, 3, 4, 0, 2, 1, 3, 2, 4, 2, 0, 4, 4, 0, 4, 2, 3, 0, 1, 2, 4, 0, 4, 1, 2, 3, 0, 4, 4, 4, 0, 1, 0, 0, 2, 1, 0, 3, 2, 1, 3, 4, 0, 4, 2, 2, 3, 0, 4, 1, 1, 3, 0, 1, 4, 1, 4, 0, 1, 3, 0, 0, 4, 1, 2, 2, 1, 1, 3, 4, 0, 1, 2, 3, 2, 0, 0, 4, 1, 2, 0, 3, 2, 0, 2, 0, 0, 1, 2, 0, 3, 2, 0, 3, 3, 4, 3, 2, 3, 2, 1, 3, 0, 4, 2, 1, 3, 0, 2, 0, 0, 0, 4, 0, 2, 1, 0, 4, 1, 0, 0, 0, 2, 0, 4, 4, 4, 3, 3, 0, 3, 0, 2, 2, 0, 2, 1, 1]
pubkeycol561 = [0, 2, 0, 3, 0, 4, 2, 1, 4, 3, 1, 2, 1, 3, 3, 2, 0, 4, 2, 3, 4, 2, 0, 0, 0, 2, 1, 1, 3, 3, 2, 1, 0, 0, 0, 4, 0, 4, 0, 1, 2, 3, 1, 4, 4, 4, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 4, 3, 2, 4, 2, 2, 3, 4, 0, 4, 2, 4, 4, 3, 4, 3, 0, 0, 1, 4, 3, 4, 3, 3, 3, 2, 4, 4, 0, 2, 4, 4, 0, 3, 1, 2, 1, 4, 2, 0, 4, 4, 0, 3, 4, 4, 1, 2, 1, 4, 0, 1, 2, 1, 0, 1, 0, 2, 3, 4, 0, 2, 1, 1, 4, 4, 2, 0, 0, 4, 1, 2, 1, 2, 1, 4, 0, 4, 0, 1, 2, 4, 1, 2, 0, 1, 0, 0, 4, 1, 2, 2, 1, 0, 3, 0, 3, 4, 4, 3, 0, 3, 0, 3, 0, 1, 1, 3, 0, 4, 4, 3, 1, 1, 1, 4, 0, 4, 2, 0, 1, 2, 0, 0, 0, 2, 3, 0, 1, 2, 0, 2, 2, 1, 2, 3, 3, 0, 0, 1, 1, 0, 0, 3, 1, 3, 1, 0, 2, 4, 4, 3, 3, 0, 0, 1, 2, 3, 0, 3, 3, 1, 1, 0, 0, 0, 4, 2, 3, 1, 0, 2, 1, 1, 1, 2, 2, 4, 1, 1, 4, 1, 2, 1, 3, 1, 2, 2, 0, 2, 2, 3, 0, 0, 0, 0, 1, 0, 4, 1, 1, 1, 3, 0, 4, 2, 2, 1, 2, 3, 0, 2, 4, 2, 4, 1, 3, 2, 4, 2, 1, 0, 1, 1, 2, 3, 1, 3, 4, 3, 2, 0, 3, 2, 1, 3, 1, 1, 4, 3, 2, 0, 4, 3, 3, 0, 2, 4, 1, 2, 0, 0, 0, 0, 1, 4, 1, 0, 4, 2, 4, 2, 1, 2, 1, 0, 3, 3, 1, 1, 4, 3, 3, 0, 2, 0, 3, 1, 4, 1, 4, 2, 2, 3, 1, 1, 3, 3, 2, 3, 2, 3, 1, 3, 4, 1, 4, 0, 2, 2, 3, 1, 0, 2, 1, 1, 1, 4, 1, 4, 1, 4, 3, 3, 1, 0, 0, 3, 2, 2, 3, 0, 4, 3, 0, 0, 4, 2, 1, 3, 1, 4, 4, 3, 4, 0, 3, 0, 3, 3, 2, 0, 1, 3, 3, 2, 4, 3, 2, 3, 2, 4, 0, 1, 2, 2, 3, 3, 0, 1, 2, 3, 0, 4, 3, 4, 4, 4, 0, 3, 0, 2, 3, 2, 0, 3, 2, 2, 1, 0, 2, 3, 4, 4, 2, 1, 2, 3, 1, 3, 3, 1, 1, 4, 1, 3, 0, 3, 1, 2, 0, 3, 2, 1, 3, 1, 4, 3, 0, 0, 4, 1, 3, 0, 4, 2, 0, 3, 0, 2, 1, 2, 2, 3, 3, 1, 1, 2, 3, 0, 4, 3, 1, 2, 0, 4, 2, 4, 0, 2, 1, 1, 2, 1, 0, 3, 0, 1, 2]
pubkeycol562 = [0, 1, 2, 0, 2, 3, 2, 1, 0, 3, 3, 3, 0, 4, 2, 2, 3, 0, 1, 2, 1, 0, 1, 1, 3, 2, 4, 0, 1, 0, 2, 4, 1, 2, 4, 2, 1, 2, 4, 4, 1, 0, 4, 2, 3, 1, 3, 2, 1, 1, 3, 1, 4, 1, 4, 4, 3, 3, 0, 2, 1, 3, 1, 3, 2, 1, 4, 3, 2, 2, 2, 4, 0, 0, 0, 1, 0, 2, 0, 4, 2, 1, 2, 0, 2, 0, 1, 1, 3, 1, 0, 0, 3, 4, 4, 3, 0, 3, 3, 2, 3, 1, 1, 0, 0, 3, 3, 1, 2, 4, 2, 1, 0, 4, 2, 1, 2, 1, 2, 2, 2, 1, 4, 0, 1, 1, 3, 2, 0, 0, 2, 3, 0, 1, 3, 0, 0, 3, 3, 0, 3, 0, 0, 2, 1, 4, 0, 3, 0, 1, 4, 0, 3, 4, 4, 2, 0, 1, 2, 1, 3, 4, 1, 4, 0, 3, 0, 0, 4, 2, 4, 4, 2, 3, 1, 3, 4, 1, 2, 1, 2, 1, 2, 1, 0, 0, 3, 0, 1, 2, 4, 2, 3, 1, 4, 2, 3, 3, 0, 4, 2, 3, 2, 2, 2, 2, 4, 3, 3, 4, 0, 3, 2, 1, 3, 4, 2, 3, 1, 4, 2, 0, 4, 3, 1, 1, 0, 1, 3, 0, 0, 2, 1, 2, 2, 0, 0, 4, 2, 1, 3, 2, 1, 1, 4, 3, 4, 4, 1, 4, 0, 3, 0, 0, 1, 2, 2, 2, 4, 0, 0, 2, 2, 4, 4, 4, 4, 0, 0, 3, 2, 3, 0, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 4, 1, 4, 3, 2, 0, 0, 1, 3, 2, 2, 3, 3, 1, 1, 0, 4, 0, 1, 3, 2, 4, 1, 4, 2, 3, 1, 3, 1, 1, 3, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 3, 1, 3, 3, 4, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 4, 0, 3, 4, 1, 4, 1, 3, 2, 3, 4, 1, 4, 1, 4, 0, 2, 2, 4, 1, 1, 4, 0, 4, 3, 0, 4, 3, 1, 2, 0, 2, 1, 2, 3, 2, 3, 3, 3, 2, 1, 3, 1, 2, 0, 3, 4, 0, 0, 4, 0, 3, 4, 1, 3, 2, 1, 2, 0, 3, 4, 3, 2, 2, 2, 4, 2, 4, 1, 3, 0, 4, 4, 4, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 4, 0, 0, 4, 3, 2, 1, 0, 4, 3, 1, 0, 1, 3, 0, 0, 1, 1, 2, 0, 4, 4, 3, 4, 0, 0, 4, 2, 2, 4, 1, 4, 2, 4, 0, 4, 2, 3, 4, 4, 3, 3, 3, 2, 3, 3, 2, 0, 0, 4, 4, 2, 0, 4, 2, 0, 2, 1, 2, 2, 3, 3, 1, 3, 4, 3, 0, 3, 1, 3, 2, 2, 2, 1, 4]
pubkeycol563 = [1, 1, 0, 3, 0, 4, 2, 0, 0, 1, 1, 2, 3, 1, 0, 1, 2, 4, 1, 4, 3, 2, 4, 4, 2, 1, 2, 4, 1, 4, 3, 0, 3, 4, 1, 3, 4, 3, 0, 0, 4, 2, 4, 1, 4, 1, 1, 1, 1, 1, 4, 3, 4, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 3, 0, 1, 4, 2, 2, 0, 0, 0, 1, 1, 4, 0, 4, 3, 4, 3, 4, 0, 3, 3, 1, 3, 2, 0, 3, 4, 0, 4, 4, 2, 3, 1, 1, 3, 3, 3, 2, 0, 2, 4, 2, 3, 0, 1, 2, 4, 2, 2, 0, 1, 3, 0, 4, 0, 2, 4, 1, 3, 3, 1, 2, 3, 3, 1, 3, 2, 0, 4, 1, 0, 1, 3, 3, 0, 2, 2, 4, 1, 1, 1, 0, 4, 2, 3, 1, 3, 3, 1, 0, 4, 0, 3, 3, 0, 3, 2, 1, 2, 4, 1, 1, 0, 3, 3, 4, 4, 3, 2, 3, 0, 4, 3, 4, 3, 4, 2, 3, 0, 4, 1, 1, 0, 4, 4, 3, 3, 4, 0, 1, 1, 2, 1, 0, 4, 1, 3, 4, 4, 1, 2, 1, 2, 0, 2, 3, 2, 4, 1, 2, 0, 3, 0, 4, 4, 1, 0, 1, 2, 4, 4, 4, 3, 0, 3, 0, 3, 0, 2, 1, 4, 1, 0, 2, 4, 2, 2, 4, 1, 0, 4, 4, 1, 3, 4, 0, 2, 2, 3, 0, 4, 4, 0, 0, 3, 3, 4, 1, 1, 3, 0, 3, 3, 0, 4, 2, 3, 0, 0, 0, 1, 1, 2, 3, 4, 2, 3, 3, 4, 2, 2, 3, 3, 0, 2, 3, 1, 4, 4, 0, 3, 1, 0, 4, 0, 0, 4, 1, 3, 4, 3, 0, 0, 3, 1, 3, 2, 2, 0, 0, 4, 2, 2, 2, 3, 1, 2, 4, 4, 1, 1, 3, 2, 1, 2, 4, 4, 1, 0, 0, 0, 4, 2, 4, 1, 0, 2, 3, 2, 4, 3, 4, 3, 4, 4, 3, 0, 3, 1, 1, 0, 2, 2, 0, 2, 3, 4, 4, 4, 0, 1, 3, 2, 4, 3, 2, 3, 4, 1, 1, 4, 2, 4, 4, 0, 2, 2, 3, 2, 3, 3, 4, 3, 2, 0, 0, 4, 0, 3, 0, 1, 3, 1, 2, 1, 4, 2, 0, 4, 0, 1, 1, 4, 2, 4, 3, 0, 2, 4, 1, 3, 0, 1, 4, 1, 1, 1, 3, 0, 4, 1, 2, 4, 3, 1, 2, 2, 2, 4, 2, 3, 4, 3, 3, 1, 1, 4, 4, 4, 2, 3, 3, 1, 1, 3, 0, 4, 4, 3, 3, 4, 2, 1, 1, 0, 3, 1, 4, 3, 4, 4, 2, 3, 1, 0, 3, 3, 3, 1, 2, 4, 1, 0, 3, 2, 1, 3, 2, 3, 0, 3, 4, 4, 3, 1, 3, 3, 1, 4, 3, 1, 2, 3, 2, 1, 0, 4, 3, 4, 0, 4, 2]
pubkeycol564 = [3, 2, 1, 2, 0, 3, 2, 3, 4, 1, 3, 1, 0, 0, 3, 3, 3, 4, 0, 4, 4, 0, 3, 3, 0, 3, 0, 1, 1, 3, 2, 4, 1, 1, 2, 4, 4, 2, 4, 2, 2, 4, 3, 3, 0, 3, 2, 2, 2, 3, 4, 0, 1, 0, 0, 4, 0, 1, 4, 2, 4, 1, 3, 4, 1, 4, 0, 2, 4, 0, 3, 2, 0, 4, 0, 4, 1, 3, 0, 4, 1, 3, 1, 3, 1, 1, 3, 1, 1, 2, 0, 1, 0, 0, 2, 3, 2, 3, 0, 3, 2, 3, 3, 3, 2, 2, 2, 4, 3, 4, 4, 1, 1, 4, 0, 4, 2, 2, 1, 3, 2, 0, 4, 1, 3, 3, 1, 2, 1, 1, 1, 0, 4, 1, 1, 2, 0, 4, 2, 2, 3, 0, 0, 4, 4, 2, 1, 1, 4, 3, 0, 1, 1, 2, 4, 0, 0, 4, 2, 2, 2, 4, 0, 2, 1, 3, 2, 2, 0, 2, 3, 1, 4, 3, 4, 2, 1, 4, 1, 1, 4, 4, 0, 0, 3, 0, 2, 3, 4, 3, 1, 0, 4, 1, 2, 4, 2, 2, 1, 4, 2, 2, 0, 2, 4, 2, 2, 2, 0, 0, 2, 3, 4, 1, 4, 3, 1, 3, 4, 1, 0, 0, 2, 2, 4, 3, 4, 2, 2, 0, 4, 3, 0, 4, 1, 4, 3, 0, 0, 0, 3, 2, 4, 3, 1, 2, 4, 1, 4, 4, 3, 3, 3, 4, 3, 4, 2, 2, 4, 1, 1, 1, 3, 2, 1, 2, 4, 4, 3, 0, 2, 1, 0, 4, 3, 0, 4, 3, 1, 1, 1, 2, 1, 0, 4, 4, 0, 0, 0, 0, 2, 0, 4, 0, 4, 2, 0, 1, 1, 2, 3, 3, 3, 4, 1, 1, 0, 3, 3, 1, 4, 4, 2, 3, 3, 4, 1, 2, 2, 3, 4, 2, 4, 2, 1, 3, 4, 4, 2, 3, 4, 3, 0, 2, 1, 1, 2, 2, 3, 4, 0, 3, 0, 1, 0, 2, 1, 4, 0, 2, 3, 4, 4, 4, 0, 4, 2, 0, 1, 3, 0, 0, 0, 1, 2, 2, 4, 3, 3, 2, 0, 1, 3, 4, 0, 3, 0, 4, 1, 3, 2, 4, 2, 1, 1, 0, 4, 4, 1, 4, 1, 0, 4, 1, 2, 3, 2, 2, 1, 0, 0, 1, 0, 1, 1, 4, 4, 2, 3, 2, 1, 4, 2, 4, 4, 3, 1, 4, 2, 3, 1, 4, 2, 0, 1, 3, 1, 3, 2, 3, 2, 4, 4, 1, 2, 0, 1, 3, 1, 2, 3, 1, 3, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 4, 0, 3, 1, 1, 0, 1, 0, 0, 2, 3, 4, 1, 4, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 4, 2, 0, 0, 0, 1, 4, 2, 4, 1, 0, 4, 0, 0, 0, 4, 3, 1, 0, 4, 1, 3, 0, 2, 0, 4, 4, 4]
pubkeycol565 = [2, 4, 2, 1, 3, 3, 4, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 3, 1, 0, 1, 0, 0, 0, 4, 0, 1, 1, 1, 2, 2, 3, 2, 2, 0, 1, 2, 2, 4, 0, 2, 3, 3, 3, 2, 0, 1, 4, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 4, 1, 1, 3, 3, 2, 0, 4, 0, 1, 1, 2, 3, 2, 1, 3, 0, 1, 2, 2, 0, 1, 3, 1, 3, 2, 3, 2, 2, 1, 0, 2, 4, 0, 2, 1, 4, 1, 3, 2, 2, 3, 1, 2, 2, 2, 1, 1, 4, 2, 4, 3, 1, 2, 0, 4, 0, 1, 0, 4, 4, 2, 2, 1, 4, 2, 4, 4, 3, 4, 4, 3, 2, 4, 4, 1, 0, 3, 0, 2, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 1, 4, 1, 0, 3, 0, 3, 2, 2, 0, 2, 0, 4, 4, 3, 1, 4, 0, 0, 4, 1, 3, 1, 0, 3, 0, 4, 1, 0, 3, 3, 3, 4, 2, 0, 2, 0, 2, 2, 2, 2, 0, 3, 3, 3, 4, 4, 0, 4, 1, 3, 2, 4, 3, 1, 4, 3, 2, 3, 2, 0, 3, 4, 1, 3, 0, 4, 4, 0, 0, 1, 1, 3, 2, 1, 1, 0, 0, 0, 4, 4, 0, 4, 2, 4, 4, 3, 2, 2, 1, 1, 4, 2, 0, 4, 3, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 4, 2, 1, 2, 3, 2, 3, 1, 1, 0, 1, 4, 2, 3, 1, 3, 4, 1, 0, 1, 4, 3, 4, 2, 4, 3, 2, 4, 3, 0, 1, 4, 1, 2, 4, 2, 1, 0, 3, 0, 3, 1, 4, 1, 4, 0, 4, 0, 4, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 2, 0, 3, 3, 1, 3, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 4, 2, 4, 2, 0, 3, 0, 3, 2, 3, 0, 0, 3, 4, 2, 0, 2, 3, 3, 3, 2, 1, 4, 1, 1, 2, 1, 0, 1, 1, 1, 3, 1, 3, 2, 4, 2, 1, 0, 1, 1, 1, 2, 3, 2, 0, 3, 1, 1, 0, 3, 4, 3, 3, 3, 1, 0, 4, 0, 1, 4, 1, 2, 0, 4, 2, 1, 3, 1, 2, 3, 4, 0, 2, 0, 0, 1, 4, 4, 4, 3, 1, 1, 2, 1, 3, 3, 0, 2, 0, 4, 3, 4, 2, 0, 4, 1, 3, 2, 3, 1, 4, 3, 2, 0, 0, 3, 0, 3, 1, 0, 1, 0, 3, 2, 4, 0, 0, 1, 1, 3, 0, 2, 0, 4, 2, 4, 0, 2, 2, 0, 3, 1, 3, 2, 2, 3, 3, 4, 2, 1, 3, 4, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 3, 1, 0, 3, 2, 1, 0, 4, 4, 3, 3]
pubkeycol566 = [4, 2, 0, 1, 1, 4, 2, 1, 2, 4, 4, 4, 2, 3, 2, 3, 3, 3, 2, 1, 0, 1, 0, 4, 2, 1, 4, 1, 3, 2, 3, 1, 0, 2, 4, 1, 0, 4, 1, 3, 3, 2, 2, 0, 4, 0, 1, 1, 3, 1, 2, 0, 4, 0, 2, 2, 2, 0, 3, 2, 3, 4, 1, 1, 3, 0, 4, 2, 0, 1, 1, 3, 3, 1, 1, 1, 0, 2, 0, 4, 1, 3, 1, 0, 0, 0, 0, 4, 0, 0, 1, 0, 3, 0, 4, 2, 0, 2, 1, 1, 0, 0, 3, 3, 2, 4, 0, 4, 3, 4, 3, 1, 0, 1, 0, 3, 3, 4, 1, 0, 0, 1, 2, 0, 3, 1, 0, 2, 4, 4, 3, 4, 4, 4, 1, 1, 1, 3, 2, 4, 1, 2, 0, 3, 1, 3, 3, 2, 1, 3, 0, 1, 3, 3, 3, 1, 0, 1, 3, 4, 1, 2, 4, 2, 3, 4, 1, 1, 4, 1, 0, 2, 1, 1, 4, 2, 0, 3, 2, 0, 4, 1, 3, 3, 3, 1, 4, 4, 3, 0, 1, 1, 3, 0, 3, 3, 3, 2, 4, 1, 2, 3, 1, 4, 3, 3, 2, 2, 2, 1, 4, 0, 2, 0, 1, 1, 2, 4, 4, 4, 4, 3, 2, 2, 4, 3, 0, 2, 3, 2, 2, 4, 1, 0, 0, 1, 2, 1, 4, 3, 4, 1, 0, 4, 2, 4, 1, 1, 3, 1, 4, 1, 0, 2, 3, 1, 1, 0, 2, 4, 1, 4, 3, 2, 0, 4, 4, 1, 3, 1, 4, 1, 0, 1, 2, 0, 4, 0, 4, 3, 0, 3, 0, 2, 2, 0, 4, 0, 4, 2, 1, 3, 3, 0, 1, 4, 0, 0, 2, 0, 4, 4, 3, 2, 3, 4, 4, 1, 2, 1, 1, 1, 4, 2, 0, 4, 4, 2, 0, 1, 3, 2, 1, 2, 1, 3, 2, 4, 1, 3, 3, 2, 2, 1, 2, 3, 3, 1, 1, 1, 2, 0, 3, 4, 4, 2, 2, 1, 0, 2, 0, 2, 0, 2, 4, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 4, 3, 0, 1, 1, 1, 1, 1, 3, 0, 0, 0, 1, 1, 0, 3, 2, 1, 1, 0, 0, 1, 1, 2, 3, 0, 1, 2, 1, 3, 2, 1, 4, 0, 4, 4, 0, 3, 2, 1, 1, 3, 4, 4, 2, 3, 1, 0, 0, 3, 4, 4, 4, 2, 4, 2, 1, 3, 0, 4, 0, 2, 4, 2, 3, 3, 4, 2, 3, 1, 4, 2, 3, 0, 0, 0, 1, 2, 4, 3, 0, 3, 0, 0, 4, 3, 3, 1, 4, 1, 4, 0, 0, 2, 0, 2, 4, 0, 4, 2, 1, 2, 0, 4, 3, 1, 3, 3, 1, 0, 4, 1, 2, 4, 1, 3, 3, 3, 2, 1, 2, 3, 3, 2, 1, 3, 2, 0, 4, 3, 2, 0, 3, 4, 3, 0]
pubkeycol567 = [1, 2, 4, 1, 0, 2, 1, 0, 0, 1, 1, 4, 3, 4, 0, 0, 1, 1, 4, 2, 1, 3, 4, 0, 3, 1, 0, 4, 0, 0, 4, 3, 0, 3, 3, 4, 1, 2, 1, 3, 4, 1, 0, 0, 2, 1, 3, 1, 0, 0, 4, 4, 4, 2, 3, 0, 0, 1, 0, 3, 1, 2, 4, 3, 2, 1, 4, 3, 0, 1, 1, 0, 4, 4, 3, 2, 4, 4, 1, 2, 3, 3, 0, 4, 4, 1, 1, 1, 3, 3, 1, 1, 0, 4, 0, 1, 0, 1, 2, 4, 2, 1, 3, 3, 2, 4, 3, 0, 3, 1, 4, 4, 3, 0, 4, 1, 0, 0, 2, 4, 4, 1, 2, 1, 1, 0, 1, 2, 1, 3, 4, 0, 4, 4, 4, 2, 1, 0, 0, 1, 4, 4, 2, 4, 3, 0, 4, 3, 1, 0, 1, 0, 2, 0, 3, 4, 3, 3, 1, 2, 2, 3, 2, 2, 2, 0, 1, 1, 3, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 4, 1, 1, 2, 1, 4, 2, 4, 4, 3, 3, 3, 1, 4, 0, 2, 0, 1, 3, 2, 0, 3, 4, 2, 1, 0, 3, 2, 4, 3, 2, 4, 1, 1, 2, 3, 0, 4, 1, 1, 3, 1, 4, 1, 0, 2, 2, 4, 3, 0, 2, 4, 2, 4, 1, 2, 0, 0, 3, 0, 4, 3, 3, 4, 2, 3, 2, 0, 3, 1, 1, 2, 3, 3, 4, 1, 4, 0, 1, 1, 4, 4, 1, 4, 0, 2, 0, 2, 0, 0, 3, 1, 3, 4, 3, 2, 0, 3, 1, 4, 1, 4, 1, 0, 2, 0, 3, 0, 3, 4, 1, 1, 3, 3, 2, 0, 1, 1, 4, 2, 2, 0, 3, 3, 2, 3, 3, 0, 0, 1, 0, 2, 2, 2, 2, 2, 4, 3, 4, 4, 3, 3, 2, 1, 0, 4, 1, 1, 3, 4, 4, 3, 1, 0, 1, 1, 4, 1, 3, 2, 3, 3, 2, 4, 2, 0, 1, 2, 4, 4, 0, 1, 1, 2, 1, 3, 1, 3, 3, 4, 3, 3, 1, 1, 0, 0, 4, 0, 3, 2, 3, 4, 4, 0, 3, 4, 1, 0, 2, 2, 3, 0, 1, 3, 1, 2, 1, 2, 4, 2, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 4, 3, 3, 4, 4, 3, 0, 1, 2, 2, 3, 2, 4, 2, 0, 1, 2, 2, 3, 2, 4, 0, 0, 2, 4, 0, 0, 4, 2, 2, 0, 1, 3, 1, 3, 4, 3, 3, 2, 4, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 3, 1, 0, 4, 3, 0, 0, 2, 1, 4, 4, 0, 3, 3, 1, 1, 1, 3, 0, 3, 2, 0, 2, 0, 1, 2, 0, 2, 1, 3, 0, 0, 3, 0, 4, 4, 0, 0, 2, 0, 4, 2, 4, 1, 4]
pubkeycol568 = [4, 0, 2, 4, 1, 0, 1, 3, 3, 2, 1, 4, 4, 2, 2, 3, 0, 1, 2, 3, 4, 3, 4, 0, 3, 0, 4, 0, 4, 0, 3, 2, 0, 4, 1, 1, 1, 4, 1, 4, 4, 0, 2, 1, 3, 4, 4, 2, 4, 3, 0, 3, 0, 2, 0, 2, 1, 4, 4, 4, 4, 4, 0, 3, 2, 3, 1, 4, 1, 0, 0, 3, 0, 1, 0, 3, 4, 4, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 4, 4, 2, 0, 0, 0, 4, 2, 4, 0, 0, 3, 3, 1, 3, 2, 3, 3, 1, 3, 3, 1, 2, 0, 3, 3, 2, 3, 1, 4, 2, 3, 4, 3, 1, 3, 0, 4, 2, 4, 2, 2, 3, 2, 0, 1, 2, 0, 1, 3, 2, 1, 1, 1, 2, 4, 2, 2, 2, 2, 3, 4, 1, 2, 3, 0, 1, 1, 1, 0, 4, 4, 0, 1, 3, 4, 3, 2, 1, 0, 3, 4, 3, 0, 4, 0, 4, 3, 3, 2, 3, 1, 0, 0, 2, 0, 1, 0, 3, 0, 4, 1, 3, 3, 0, 2, 3, 3, 0, 2, 3, 0, 2, 1, 2, 1, 2, 3, 0, 3, 0, 0, 2, 3, 1, 1, 4, 1, 4, 1, 3, 3, 3, 0, 4, 4, 2, 3, 3, 4, 1, 3, 1, 1, 1, 2, 1, 1, 4, 2, 2, 1, 3, 4, 0, 3, 4, 0, 4, 4, 2, 4, 0, 2, 4, 4, 0, 2, 0, 3, 2, 1, 0, 0, 2, 3, 2, 2, 0, 1, 0, 0, 2, 1, 4, 2, 3, 0, 4, 2, 2, 2, 0, 2, 3, 3, 1, 3, 3, 3, 4, 2, 1, 2, 0, 3, 2, 2, 0, 1, 0, 3, 2, 2, 2, 2, 1, 0, 1, 4, 2, 2, 1, 2, 1, 3, 0, 4, 1, 2, 4, 0, 4, 3, 0, 0, 0, 2, 4, 2, 0, 3, 4, 2, 0, 0, 3, 1, 1, 4, 1, 3, 3, 3, 0, 4, 4, 2, 0, 3, 0, 2, 3, 3, 0, 1, 3, 0, 1, 0, 1, 4, 3, 3, 4, 4, 1, 0, 1, 1, 0, 4, 2, 0, 1, 0, 2, 2, 0, 4, 0, 1, 2, 3, 4, 0, 1, 3, 1, 4, 3, 2, 2, 1, 2, 3, 2, 4, 4, 0, 4, 2, 0, 3, 3, 0, 2, 0, 3, 4, 2, 4, 0, 4, 0, 3, 2, 4, 1, 2, 4, 0, 4, 3, 4, 3, 4, 0, 0, 2, 0, 4, 1, 3, 0, 0, 4, 4, 1, 3, 2, 2, 4, 0, 4, 4, 0, 2, 1, 3, 2, 4, 4, 3, 4, 3, 2, 2, 2, 1, 0, 1, 1, 1, 0, 3, 3, 1, 3, 2, 4, 4, 3, 0, 1, 2, 3, 4, 1, 1, 2, 3, 4, 0, 1, 4, 2, 1, 0, 3, 4, 0, 3, 4, 3, 1, 2, 2, 4, 3, 1, 1, 0, 0]
pubkeycol569 = [4, 3, 3, 1, 4, 1, 0, 4, 1, 4, 1, 0, 3, 0, 0, 1, 0, 1, 0, 3, 0, 1, 2, 3, 2, 1, 0, 4, 3, 2, 1, 4, 1, 0, 3, 2, 3, 1, 1, 2, 3, 2, 2, 3, 2, 4, 4, 0, 2, 1, 0, 4, 0, 1, 2, 3, 3, 1, 4, 2, 1, 3, 4, 0, 2, 2, 0, 4, 4, 1, 2, 0, 3, 2, 1, 1, 4, 1, 1, 4, 3, 1, 4, 4, 3, 0, 3, 2, 1, 2, 2, 0, 2, 3, 3, 0, 3, 0, 4, 3, 2, 0, 1, 4, 3, 0, 2, 1, 2, 3, 4, 4, 4, 4, 1, 3, 0, 0, 3, 3, 4, 4, 3, 3, 2, 3, 3, 4, 1, 2, 2, 3, 1, 3, 1, 4, 0, 4, 2, 0, 1, 2, 1, 0, 1, 4, 4, 0, 3, 4, 1, 4, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 4, 2, 2, 0, 0, 1, 3, 2, 1, 0, 4, 1, 0, 1, 4, 3, 0, 2, 2, 0, 4, 4, 4, 4, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 3, 3, 1, 0, 3, 0, 2, 1, 2, 0, 1, 4, 4, 4, 4, 3, 3, 0, 3, 2, 1, 4, 4, 0, 2, 1, 1, 2, 2, 1, 1, 0, 3, 4, 1, 3, 3, 3, 3, 2, 2, 3, 4, 2, 4, 3, 3, 1, 0, 4, 1, 1, 1, 4, 3, 4, 1, 0, 3, 1, 2, 1, 1, 1, 2, 4, 3, 0, 4, 0, 4, 3, 4, 3, 0, 2, 1, 3, 2, 4, 3, 3, 1, 1, 2, 3, 4, 4, 4, 3, 0, 1, 4, 2, 2, 0, 1, 4, 4, 2, 4, 4, 4, 2, 1, 2, 3, 3, 3, 3, 2, 4, 3, 2, 1, 2, 1, 2, 3, 3, 3, 3, 4, 1, 2, 2, 3, 4, 2, 2, 4, 4, 2, 2, 4, 2, 3, 1, 0, 1, 4, 1, 4, 0, 0, 2, 4, 2, 2, 0, 3, 1, 0, 4, 0, 2, 1, 3, 3, 1, 1, 2, 3, 3, 0, 4, 3, 4, 1, 3, 2, 2, 2, 3, 2, 1, 4, 4, 0, 3, 0, 3, 3, 3, 3, 4, 3, 4, 0, 3, 1, 0, 1, 3, 0, 3, 2, 0, 0, 3, 1, 3, 3, 4, 0, 0, 3, 0, 1, 0, 3, 3, 4, 3, 3, 1, 3, 2, 0, 0, 4, 1, 0, 1, 0, 2, 3, 3, 3, 0, 4, 0, 3, 2, 3, 2, 0, 2, 4, 2, 4, 4, 1, 2, 3, 2, 3, 1, 0, 0, 2, 3, 2, 4, 3, 2, 0, 3, 1, 4, 0, 4, 0, 1, 2, 1, 3, 2, 1, 0, 0, 1, 2, 1, 2, 1, 4, 0, 1, 0, 3, 0, 2, 1, 0, 2, 0, 4, 4, 4, 3, 0, 2, 2, 4, 1, 4, 3, 4, 0, 4, 0, 3, 3, 4, 1, 3, 0, 1]
pubkeycol570 = [2, 0, 4, 3, 1, 2, 4, 2, 3, 1, 0, 1, 2, 3, 4, 3, 0, 3, 4, 2, 0, 1, 2, 3, 1, 3, 1, 3, 3, 0, 2, 4, 3, 0, 2, 3, 3, 1, 3, 3, 1, 1, 3, 3, 0, 3, 3, 1, 2, 1, 2, 0, 0, 3, 4, 4, 0, 4, 4, 0, 3, 2, 0, 3, 2, 2, 3, 0, 1, 4, 0, 4, 2, 0, 1, 2, 4, 4, 1, 0, 0, 3, 0, 3, 0, 4, 4, 3, 0, 3, 4, 4, 2, 1, 2, 4, 0, 0, 0, 0, 3, 1, 2, 2, 1, 0, 2, 4, 0, 4, 1, 1, 3, 2, 4, 2, 3, 4, 1, 2, 3, 1, 1, 2, 1, 3, 2, 3, 4, 2, 0, 1, 3, 4, 3, 1, 0, 0, 4, 1, 1, 3, 0, 2, 2, 3, 4, 2, 3, 0, 4, 1, 1, 4, 2, 0, 4, 3, 3, 0, 0, 1, 3, 2, 3, 1, 4, 2, 2, 4, 2, 3, 3, 4, 0, 0, 3, 1, 3, 1, 0, 4, 0, 0, 1, 1, 2, 2, 3, 2, 3, 0, 2, 3, 0, 3, 4, 4, 0, 4, 4, 0, 0, 1, 4, 3, 0, 3, 1, 2, 3, 4, 2, 1, 2, 1, 4, 0, 2, 1, 4, 0, 4, 4, 1, 2, 4, 3, 1, 3, 3, 2, 0, 3, 4, 1, 2, 2, 3, 1, 4, 3, 1, 3, 1, 0, 3, 3, 1, 2, 0, 0, 3, 4, 2, 2, 0, 4, 4, 1, 0, 4, 4, 4, 0, 1, 2, 4, 1, 2, 2, 2, 4, 0, 1, 0, 1, 0, 4, 2, 1, 3, 1, 2, 4, 0, 4, 3, 3, 2, 1, 2, 2, 0, 0, 3, 1, 0, 4, 3, 2, 2, 4, 2, 0, 4, 3, 4, 2, 4, 2, 0, 0, 2, 0, 4, 4, 4, 0, 4, 3, 3, 3, 4, 3, 1, 1, 4, 0, 3, 4, 1, 0, 2, 1, 1, 2, 1, 3, 4, 4, 2, 1, 2, 4, 0, 3, 3, 1, 3, 2, 1, 1, 2, 2, 2, 0, 2, 1, 3, 0, 4, 3, 0, 2, 0, 3, 3, 3, 0, 0, 3, 3, 4, 4, 3, 2, 0, 4, 3, 1, 2, 4, 1, 1, 4, 4, 4, 1, 2, 2, 0, 4, 2, 1, 1, 1, 4, 0, 0, 0, 2, 0, 1, 3, 2, 4, 2, 3, 1, 2, 0, 3, 4, 3, 1, 1, 3, 4, 3, 4, 0, 1, 2, 0, 1, 3, 2, 0, 4, 3, 0, 3, 2, 3, 0, 1, 4, 0, 3, 0, 0, 4, 4, 1, 0, 0, 1, 3, 4, 4, 2, 4, 4, 3, 4, 2, 3, 3, 0, 2, 4, 2, 2, 2, 0, 4, 4, 1, 2, 0, 2, 4, 0, 4, 2, 1, 1, 0, 4, 0, 4, 3, 3, 2, 4, 2, 4, 0, 4, 0, 0, 2, 3, 2, 4, 0, 3, 1, 3, 1, 2, 3, 4, 4]
pubkeycol571 = [2, 0, 3, 1, 4, 1, 1, 0, 3, 2, 0, 3, 0, 2, 4, 0, 2, 4, 2, 2, 1, 3, 4, 3, 2, 0, 4, 2, 2, 1, 1, 2, 1, 4, 4, 0, 0, 2, 0, 0, 1, 4, 1, 2, 2, 0, 1, 3, 0, 4, 4, 1, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 2, 4, 0, 1, 0, 0, 0, 4, 2, 4, 0, 2, 1, 0, 1, 2, 0, 3, 3, 2, 2, 3, 3, 0, 0, 0, 2, 1, 0, 2, 4, 4, 4, 3, 0, 1, 1, 2, 4, 0, 4, 1, 4, 2, 0, 4, 1, 3, 2, 3, 3, 2, 2, 0, 1, 3, 2, 4, 0, 2, 3, 3, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 4, 4, 4, 1, 3, 3, 2, 2, 4, 4, 4, 4, 0, 0, 1, 0, 4, 2, 1, 1, 4, 1, 1, 4, 0, 3, 2, 2, 0, 3, 2, 3, 3, 4, 3, 1, 2, 3, 4, 4, 4, 2, 3, 3, 4, 1, 2, 1, 1, 3, 3, 1, 3, 1, 1, 4, 0, 4, 2, 3, 2, 1, 2, 1, 2, 3, 0, 1, 1, 2, 1, 1, 2, 3, 4, 2, 0, 3, 0, 1, 0, 3, 2, 2, 0, 3, 4, 3, 4, 0, 4, 0, 3, 1, 3, 0, 4, 4, 0, 3, 1, 0, 4, 2, 2, 4, 1, 0, 3, 3, 2, 0, 3, 1, 4, 3, 3, 3, 2, 1, 2, 4, 1, 4, 2, 2, 1, 3, 2, 4, 3, 4, 2, 4, 1, 3, 0, 2, 1, 0, 1, 0, 3, 3, 4, 0, 4, 2, 1, 2, 1, 1, 4, 0, 3, 1, 1, 4, 2, 1, 0, 3, 4, 0, 3, 1, 4, 2, 4, 2, 2, 0, 4, 4, 1, 2, 2, 2, 2, 3, 0, 4, 4, 0, 4, 0, 2, 3, 2, 4, 3, 2, 2, 4, 3, 1, 1, 4, 0, 0, 0, 0, 4, 3, 2, 0, 1, 3, 0, 0, 2, 4, 2, 1, 4, 3, 1, 4, 1, 1, 0, 3, 1, 0, 0, 0, 0, 0, 2, 2, 0, 3, 0, 2, 3, 2, 3, 2, 0, 4, 1, 3, 2, 3, 3, 0, 1, 4, 3, 4, 2, 0, 0, 3, 1, 2, 0, 4, 4, 1, 4, 1, 3, 0, 0, 0, 1, 1, 0, 0, 4, 0, 1, 4, 2, 1, 1, 4, 1, 3, 2, 2, 2, 4, 4, 0, 2, 3, 4, 1, 3, 4, 3, 4, 4, 0, 4, 4, 1, 0, 3, 2, 2, 1, 3, 2, 3, 1, 2, 2, 1, 4, 2, 0, 1, 0, 2, 0, 4, 0, 1, 2, 0, 2, 0, 4, 3, 2, 0, 4, 1, 2, 2, 0, 3, 1, 3, 1, 2, 4, 1, 0, 0, 1, 3, 4, 0, 0, 4, 1, 0, 0, 1, 4, 2, 3, 2, 0, 3, 1, 2, 3, 0, 0, 1, 0, 4, 1, 2, 0]
pubkeycol572 = [4, 0, 3, 1, 3, 0, 1, 0, 0, 0, 4, 2, 4, 4, 2, 2, 4, 1, 3, 3, 0, 1, 2, 1, 4, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 3, 2, 2, 0, 1, 2, 3, 1, 1, 2, 0, 2, 1, 4, 1, 3, 2, 0, 1, 3, 3, 1, 2, 4, 4, 0, 0, 0, 3, 0, 2, 1, 1, 3, 0, 0, 4, 0, 0, 4, 3, 2, 3, 4, 0, 3, 2, 1, 4, 2, 4, 2, 1, 2, 3, 1, 1, 4, 3, 4, 0, 1, 3, 3, 2, 0, 1, 0, 1, 4, 2, 4, 2, 4, 0, 0, 4, 3, 3, 3, 3, 1, 0, 1, 3, 0, 2, 2, 4, 3, 1, 1, 1, 1, 2, 4, 1, 1, 3, 1, 3, 2, 1, 3, 0, 0, 1, 0, 0, 1, 2, 2, 4, 2, 4, 3, 1, 1, 2, 4, 2, 2, 4, 1, 3, 2, 3, 0, 3, 1, 0, 3, 0, 1, 4, 4, 1, 3, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 4, 2, 1, 0, 4, 1, 2, 3, 3, 0, 3, 0, 1, 1, 1, 1, 2, 1, 3, 1, 2, 1, 3, 0, 4, 0, 4, 4, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 0, 0, 1, 0, 3, 4, 2, 2, 2, 3, 2, 4, 4, 1, 2, 1, 4, 2, 1, 1, 1, 2, 3, 3, 1, 2, 4, 4, 3, 2, 4, 4, 2, 3, 2, 0, 1, 2, 1, 3, 3, 0, 2, 4, 4, 1, 0, 2, 2, 3, 4, 4, 4, 3, 0, 4, 3, 3, 3, 4, 0, 3, 0, 1, 0, 1, 4, 3, 4, 3, 2, 4, 4, 4, 4, 3, 0, 2, 0, 2, 0, 2, 3, 0, 3, 0, 3, 0, 4, 3, 1, 4, 2, 0, 0, 2, 1, 3, 2, 3, 2, 4, 1, 2, 3, 4, 4, 4, 0, 1, 2, 4, 3, 4, 4, 1, 2, 4, 1, 4, 1, 2, 2, 3, 4, 4, 1, 0, 0, 4, 1, 3, 4, 2, 3, 1, 3, 2, 3, 1, 0, 2, 4, 1, 0, 3, 0, 4, 0, 0, 2, 2, 3, 2, 4, 3, 3, 3, 4, 0, 0, 4, 4, 0, 3, 3, 4, 3, 4, 4, 3, 0, 4, 1, 0, 0, 0, 2, 0, 1, 3, 1, 3, 3, 3, 3, 4, 0, 1, 0, 0, 4, 2, 3, 4, 0, 4, 2, 2, 4, 1, 2, 1, 0, 0, 0, 3, 1, 4, 4, 3, 1, 3, 3, 0, 0, 0, 0, 2, 2, 3, 4, 1, 2, 4, 0, 4, 0, 0, 0, 2, 2, 3, 2, 2, 0, 0, 1, 3, 3, 1, 1, 4, 3, 1, 3, 3, 3, 2, 3, 4, 4, 1, 0, 2, 4, 2, 1, 3, 4, 4, 0, 1, 4, 2, 1, 0, 4, 0, 3, 4, 2, 1, 4, 0, 0, 2, 1, 4, 0, 4, 0]
pubkeycol573 = [3, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 3, 3, 1, 3, 3, 1, 0, 1, 1, 0, 2, 4, 0, 3, 3, 2, 0, 0, 4, 0, 1, 1, 3, 0, 0, 0, 4, 2, 2, 2, 1, 0, 0, 2, 3, 1, 2, 3, 1, 0, 1, 1, 3, 3, 1, 0, 2, 2, 4, 3, 3, 3, 1, 2, 4, 4, 1, 1, 3, 0, 3, 4, 3, 3, 3, 4, 2, 1, 1, 4, 4, 1, 0, 2, 0, 4, 0, 3, 2, 3, 0, 3, 4, 1, 1, 2, 1, 2, 0, 4, 0, 0, 0, 1, 2, 3, 0, 3, 2, 3, 2, 4, 3, 4, 3, 4, 0, 4, 0, 4, 1, 3, 1, 2, 2, 4, 4, 0, 2, 3, 0, 4, 0, 0, 4, 3, 2, 4, 0, 2, 1, 0, 0, 3, 1, 1, 2, 1, 1, 1, 3, 4, 2, 4, 4, 0, 3, 3, 2, 4, 1, 0, 0, 1, 3, 3, 3, 1, 0, 3, 4, 3, 4, 2, 1, 4, 3, 1, 2, 0, 4, 2, 1, 4, 0, 0, 3, 0, 1, 0, 1, 0, 4, 2, 2, 4, 2, 1, 4, 4, 1, 4, 1, 4, 3, 1, 4, 2, 0, 3, 0, 3, 0, 3, 1, 3, 0, 2, 2, 3, 1, 4, 4, 0, 1, 1, 0, 3, 4, 2, 3, 1, 4, 2, 2, 4, 0, 3, 0, 3, 1, 1, 3, 2, 1, 3, 3, 0, 3, 0, 2, 3, 2, 1, 0, 2, 1, 2, 0, 2, 2, 4, 3, 1, 3, 0, 4, 3, 0, 2, 1, 0, 3, 0, 1, 2, 4, 1, 3, 3, 3, 3, 1, 1, 4, 1, 0, 4, 0, 0, 4, 0, 2, 1, 0, 0, 1, 4, 3, 0, 2, 3, 1, 4, 4, 4, 2, 4, 0, 1, 3, 2, 1, 0, 3, 2, 1, 3, 4, 3, 0, 2, 2, 0, 3, 2, 3, 2, 3, 2, 0, 4, 4, 2, 0, 1, 2, 3, 4, 3, 3, 1, 1, 0, 0, 2, 0, 3, 1, 1, 0, 3, 3, 4, 2, 4, 3, 3, 1, 3, 2, 4, 0, 4, 2, 0, 2, 4, 0, 1, 0, 0, 0, 0, 4, 2, 3, 1, 0, 3, 4, 2, 3, 0, 0, 0, 2, 0, 3, 2, 1, 1, 3, 2, 3, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 3, 2, 2, 2, 3, 1, 0, 4, 0, 4, 3, 4, 1, 1, 3, 3, 0, 0, 4, 4, 2, 4, 0, 1, 1, 0, 4, 3, 0, 4, 3, 1, 2, 3, 4, 2, 2, 1, 3, 3, 2, 1, 1, 3, 0, 4, 3, 0, 2, 4, 2, 2, 0, 1, 3, 0, 3, 3, 3, 4, 4, 2, 2, 1, 4, 4, 3, 1, 1, 1, 3, 4, 0, 1, 0, 2, 0, 2, 0, 3, 1, 0, 2, 2, 0, 4, 1, 4, 1, 4, 3, 1]
pubkeycol574 = [2, 2, 0, 2, 0, 4, 0, 1, 1, 4, 4, 1, 0, 0, 3, 3, 4, 3, 1, 4, 0, 3, 0, 0, 3, 4, 3, 2, 4, 3, 4, 4, 4, 3, 0, 2, 2, 0, 1, 3, 2, 4, 2, 2, 2, 2, 2, 1, 1, 0, 4, 3, 3, 4, 3, 4, 2, 1, 2, 2, 0, 4, 0, 1, 1, 3, 2, 3, 2, 3, 1, 3, 3, 0, 4, 3, 3, 4, 3, 0, 4, 1, 3, 4, 1, 2, 1, 0, 2, 3, 3, 1, 3, 4, 2, 2, 0, 1, 1, 2, 1, 0, 4, 3, 3, 3, 2, 1, 1, 2, 4, 3, 2, 1, 4, 1, 3, 2, 2, 0, 2, 1, 1, 3, 1, 1, 3, 2, 3, 4, 4, 4, 3, 1, 1, 4, 2, 2, 0, 2, 1, 1, 3, 4, 4, 2, 1, 1, 2, 3, 3, 3, 3, 3, 2, 3, 4, 1, 0, 1, 0, 4, 4, 3, 1, 4, 1, 4, 2, 1, 3, 1, 3, 3, 0, 1, 3, 3, 0, 0, 4, 3, 0, 0, 0, 2, 2, 4, 3, 4, 2, 4, 0, 4, 3, 4, 3, 1, 0, 3, 2, 1, 2, 1, 2, 3, 3, 1, 0, 2, 2, 2, 2, 0, 1, 3, 3, 0, 4, 4, 1, 2, 4, 4, 0, 4, 1, 3, 0, 3, 1, 1, 0, 0, 1, 3, 1, 2, 1, 1, 3, 3, 2, 3, 3, 3, 3, 4, 1, 4, 2, 4, 0, 1, 0, 4, 3, 0, 4, 1, 1, 3, 2, 0, 4, 4, 2, 2, 3, 1, 4, 0, 4, 4, 2, 3, 2, 0, 3, 0, 3, 1, 4, 3, 4, 1, 1, 2, 0, 0, 0, 1, 4, 1, 3, 0, 4, 3, 0, 0, 4, 1, 2, 1, 1, 3, 2, 3, 2, 3, 2, 4, 2, 4, 3, 2, 0, 0, 4, 3, 2, 2, 1, 2, 2, 0, 3, 3, 3, 1, 0, 0, 2, 0, 3, 1, 3, 0, 2, 0, 3, 1, 4, 3, 3, 4, 0, 1, 2, 0, 4, 1, 0, 0, 0, 1, 2, 3, 4, 2, 2, 0, 0, 1, 3, 4, 0, 2, 1, 3, 1, 3, 0, 4, 1, 1, 4, 4, 2, 4, 3, 2, 3, 3, 0, 0, 2, 3, 2, 4, 4, 4, 3, 2, 2, 4, 3, 3, 1, 1, 1, 0, 1, 2, 1, 0, 4, 1, 0, 2, 0, 4, 2, 4, 4, 2, 0, 2, 4, 0, 4, 3, 0, 1, 3, 4, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 3, 2, 1, 0, 3, 1, 0, 4, 3, 2, 1, 0, 1, 0, 3, 4, 1, 1, 2, 1, 0, 2, 3, 2, 2, 3, 0, 3, 3, 1, 2, 1, 0, 1, 4, 3, 4, 1, 1, 1, 2, 1, 2, 0, 2, 3, 3, 3, 1, 3, 3, 1, 0, 1, 0, 3, 3, 2, 4, 1, 0, 0, 1, 4, 1, 0, 1, 1, 3]
pubkeycol575 = [4, 0, 3, 1, 3, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 4, 1, 4, 0, 2, 3, 2, 2, 3, 3, 4, 2, 4, 2, 3, 1, 0, 3, 2, 1, 2, 0, 2, 2, 4, 3, 3, 4, 4, 1, 1, 2, 2, 4, 3, 3, 4, 1, 1, 4, 1, 3, 3, 4, 3, 2, 1, 4, 0, 1, 1, 1, 1, 0, 4, 2, 0, 2, 2, 3, 4, 4, 0, 2, 3, 1, 3, 0, 4, 3, 2, 1, 2, 4, 4, 3, 2, 4, 1, 4, 0, 2, 3, 3, 2, 1, 3, 0, 1, 0, 4, 3, 4, 1, 4, 2, 2, 0, 3, 3, 4, 4, 2, 3, 2, 4, 3, 4, 4, 0, 0, 1, 1, 4, 0, 3, 1, 1, 1, 1, 2, 3, 4, 0, 2, 3, 0, 0, 1, 1, 2, 0, 4, 4, 2, 2, 1, 2, 4, 4, 0, 1, 0, 3, 1, 0, 2, 0, 1, 3, 2, 4, 4, 2, 0, 0, 0, 3, 3, 3, 2, 4, 4, 0, 4, 1, 1, 4, 3, 0, 3, 4, 2, 4, 0, 3, 4, 2, 1, 3, 4, 3, 0, 1, 2, 3, 4, 1, 0, 2, 2, 1, 2, 2, 3, 2, 0, 0, 1, 1, 1, 0, 3, 2, 1, 3, 0, 1, 0, 3, 4, 3, 4, 3, 3, 2, 0, 0, 3, 1, 4, 2, 1, 4, 2, 0, 1, 4, 3, 0, 4, 4, 1, 1, 4, 3, 2, 1, 4, 0, 0, 2, 3, 2, 2, 2, 1, 4, 1, 3, 0, 0, 0, 4, 3, 1, 2, 3, 0, 3, 4, 2, 0, 4, 0, 0, 3, 0, 0, 0, 1, 3, 0, 1, 1, 0, 1, 2, 4, 3, 4, 1, 4, 3, 3, 0, 3, 4, 3, 2, 4, 0, 1, 4, 0, 3, 3, 1, 4, 3, 0, 1, 2, 3, 3, 2, 1, 1, 0, 0, 0, 3, 2, 1, 4, 4, 3, 0, 2, 0, 2, 1, 3, 3, 4, 3, 0, 2, 4, 2, 4, 0, 3, 0, 4, 3, 4, 3, 4, 1, 0, 0, 4, 0, 0, 1, 4, 4, 2, 3, 3, 0, 3, 0, 4, 3, 3, 0, 4, 4, 3, 3, 0, 3, 3, 2, 1, 0, 2, 1, 2, 4, 1, 0, 2, 4, 2, 4, 3, 1, 4, 1, 4, 2, 0, 2, 4, 4, 3, 4, 3, 4, 3, 2, 1, 2, 4, 2, 4, 2, 2, 3, 2, 2, 0, 2, 0, 2, 1, 0, 4, 2, 4, 0, 4, 2, 3, 2, 3, 3, 0, 3, 0, 3, 4, 4, 1, 3, 0, 0, 3, 2, 3, 1, 2, 4, 0, 1, 3, 4, 1, 1, 2, 3, 0, 0, 3, 2, 2, 1, 0, 1, 3, 2, 0, 2, 3, 3, 0, 3, 0, 1, 3, 3, 0, 4, 1, 0, 4, 4, 0, 4, 0, 3, 0, 3, 2, 2, 0, 0, 1, 0, 4, 4, 0, 4, 2, 0, 3]
pubkeycol576 = [3, 1, 2, 3, 2, 2, 4, 2, 4, 0, 3, 3, 0, 2, 0, 0, 0, 1, 0, 1, 1, 3, 4, 4, 1, 0, 2, 0, 0, 4, 3, 0, 1, 4, 2, 0, 4, 0, 3, 3, 4, 3, 3, 0, 0, 1, 3, 2, 2, 1, 4, 1, 3, 3, 4, 0, 4, 3, 1, 2, 0, 1, 0, 0, 2, 0, 0, 4, 0, 2, 3, 1, 1, 4, 3, 3, 0, 4, 2, 3, 4, 2, 1, 0, 2, 3, 0, 2, 0, 4, 0, 0, 4, 3, 1, 2, 3, 3, 0, 1, 3, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 3, 3, 0, 4, 4, 3, 4, 3, 2, 0, 1, 3, 4, 0, 3, 2, 0, 1, 2, 1, 4, 4, 2, 2, 0, 3, 3, 4, 4, 3, 4, 0, 0, 2, 4, 4, 1, 1, 2, 0, 1, 1, 3, 0, 0, 2, 2, 3, 3, 1, 0, 3, 0, 4, 1, 0, 3, 3, 2, 2, 0, 0, 0, 0, 2, 0, 3, 2, 0, 4, 3, 0, 3, 2, 3, 2, 1, 2, 4, 2, 2, 1, 1, 3, 4, 2, 0, 4, 2, 0, 0, 0, 1, 4, 4, 4, 1, 2, 4, 4, 4, 3, 2, 2, 0, 2, 0, 2, 1, 1, 2, 3, 4, 4, 4, 4, 1, 2, 1, 2, 3, 1, 0, 0, 1, 4, 2, 2, 3, 3, 0, 4, 3, 4, 3, 1, 2, 2, 3, 4, 1, 1, 0, 1, 3, 1, 0, 1, 2, 4, 1, 0, 1, 3, 4, 1, 4, 1, 1, 4, 3, 2, 0, 3, 0, 0, 1, 2, 3, 4, 0, 1, 4, 3, 4, 2, 2, 0, 3, 2, 0, 1, 1, 4, 1, 4, 1, 4, 2, 2, 1, 4, 3, 2, 0, 3, 1, 3, 1, 3, 1, 3, 4, 4, 4, 4, 4, 0, 2, 4, 0, 0, 0, 0, 0, 4, 2, 4, 4, 4, 2, 4, 2, 2, 0, 3, 1, 0, 1, 1, 3, 1, 2, 4, 3, 1, 1, 3, 0, 1, 1, 1, 4, 1, 1, 2, 4, 0, 2, 1, 3, 2, 4, 3, 1, 3, 3, 3, 3, 0, 3, 1, 2, 2, 2, 3, 2, 2, 4, 3, 4, 0, 1, 3, 0, 2, 1, 1, 2, 4, 4, 0, 2, 3, 3, 0, 1, 3, 0, 1, 3, 4, 1, 4, 4, 1, 3, 1, 4, 1, 3, 3, 1, 0, 3, 3, 1, 2, 2, 2, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 3, 4, 1, 3, 1, 1, 1, 0, 1, 4, 3, 1, 4, 3, 3, 2, 2, 2, 3, 1, 2, 3, 0, 3, 3, 4, 1, 3, 2, 4, 1, 1, 3, 0, 4, 2, 3, 0, 2, 2, 3, 1, 3, 4, 0, 1, 0, 4, 0, 3, 3, 2, 4, 0, 2, 3, 1, 0, 0, 1, 3, 0, 1, 0, 4, 4, 1, 2, 4]
pubkeycol577 = [2, 4, 2, 0, 3, 0, 3, 3, 2, 4, 2, 2, 1, 1, 4, 4, 0, 3, 4, 4, 3, 3, 4, 2, 0, 0, 2, 4, 4, 1, 1, 4, 0, 2, 2, 2, 0, 4, 1, 1, 0, 0, 2, 3, 4, 3, 3, 0, 2, 1, 1, 3, 2, 1, 2, 3, 0, 2, 0, 2, 4, 2, 2, 1, 0, 2, 1, 0, 0, 4, 1, 0, 1, 3, 1, 0, 4, 0, 1, 1, 0, 3, 4, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 4, 0, 2, 1, 0, 3, 0, 4, 3, 0, 2, 2, 3, 3, 2, 0, 4, 3, 4, 0, 4, 1, 4, 0, 0, 0, 3, 2, 0, 2, 3, 3, 3, 4, 2, 3, 1, 4, 0, 2, 0, 4, 0, 2, 1, 4, 0, 4, 0, 2, 3, 0, 1, 3, 0, 2, 3, 3, 4, 4, 4, 0, 2, 1, 4, 2, 2, 4, 4, 1, 1, 3, 1, 2, 1, 3, 2, 2, 0, 4, 2, 2, 3, 4, 4, 3, 2, 2, 3, 0, 1, 0, 1, 4, 4, 3, 1, 3, 3, 0, 4, 1, 4, 1, 3, 4, 0, 1, 0, 1, 0, 0, 0, 3, 2, 2, 1, 4, 1, 1, 4, 4, 1, 0, 3, 0, 2, 3, 4, 4, 1, 2, 0, 2, 2, 1, 2, 0, 4, 2, 0, 0, 1, 2, 3, 3, 2, 1, 2, 1, 1, 2, 3, 0, 3, 4, 4, 4, 2, 1, 1, 4, 4, 4, 1, 2, 2, 4, 3, 2, 2, 2, 3, 1, 4, 1, 3, 3, 3, 2, 1, 1, 4, 1, 3, 0, 0, 3, 2, 4, 3, 3, 3, 3, 0, 0, 2, 3, 1, 2, 3, 3, 0, 3, 4, 0, 0, 2, 4, 0, 0, 2, 4, 4, 3, 2, 4, 1, 3, 2, 4, 2, 3, 0, 1, 3, 4, 0, 0, 1, 4, 2, 1, 1, 1, 2, 0, 3, 2, 0, 4, 1, 0, 1, 4, 2, 3, 4, 0, 0, 3, 3, 4, 3, 2, 2, 0, 2, 2, 3, 1, 3, 0, 3, 2, 1, 2, 4, 2, 3, 4, 1, 2, 2, 2, 4, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 1, 0, 4, 4, 4, 4, 4, 3, 3, 1, 2, 1, 3, 4, 2, 3, 0, 2, 1, 1, 4, 2, 0, 1, 0, 1, 1, 4, 3, 4, 1, 3, 2, 4, 1, 1, 2, 1, 1, 1, 0, 3, 4, 2, 2, 4, 4, 0, 2, 4, 3, 3, 1, 2, 0, 3, 3, 1, 0, 1, 4, 1, 4, 4, 0, 4, 0, 0, 3, 1, 0, 2, 3, 2, 3, 4, 3, 2, 3, 0, 1, 3, 3, 1, 1, 1, 3, 2, 0, 2, 2, 2, 2, 2, 0, 4, 0, 1, 1, 0, 3, 1, 3, 1, 2, 2, 1, 3, 4, 3, 0, 4, 0, 0, 4, 3, 2, 2, 4, 1, 0, 1, 0, 1, 3]
pubkeycol578 = [1, 1, 3, 2, 3, 4, 4, 0, 1, 1, 2, 3, 0, 0, 2, 0, 1, 2, 2, 0, 0, 3, 3, 1, 1, 4, 4, 1, 2, 4, 2, 0, 4, 4, 1, 4, 2, 2, 3, 3, 3, 0, 2, 1, 1, 2, 4, 2, 1, 1, 3, 0, 2, 2, 4, 2, 0, 3, 4, 2, 2, 0, 2, 2, 4, 3, 2, 4, 1, 2, 2, 1, 2, 3, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 4, 0, 3, 2, 0, 3, 0, 2, 3, 1, 3, 4, 4, 2, 3, 4, 0, 0, 0, 1, 4, 2, 2, 4, 1, 2, 0, 4, 4, 4, 3, 2, 4, 3, 3, 0, 1, 1, 0, 1, 3, 2, 1, 1, 4, 0, 1, 3, 4, 2, 3, 0, 2, 2, 3, 2, 0, 2, 1, 0, 3, 3, 3, 4, 1, 3, 4, 3, 0, 2, 3, 0, 4, 4, 1, 4, 3, 3, 0, 0, 2, 0, 1, 3, 0, 4, 0, 4, 2, 1, 1, 1, 0, 4, 2, 3, 4, 0, 4, 0, 4, 2, 1, 3, 4, 4, 4, 4, 4, 1, 1, 0, 1, 3, 1, 2, 0, 2, 4, 4, 3, 4, 2, 4, 3, 2, 1, 2, 4, 3, 2, 0, 0, 2, 2, 2, 2, 1, 4, 2, 4, 0, 4, 4, 2, 0, 2, 3, 1, 0, 3, 4, 0, 0, 0, 1, 0, 2, 0, 0, 3, 4, 3, 0, 4, 4, 0, 4, 4, 0, 4, 2, 2, 3, 2, 1, 2, 2, 2, 1, 4, 3, 4, 1, 0, 3, 2, 3, 3, 4, 4, 2, 4, 4, 4, 0, 1, 2, 0, 2, 2, 3, 0, 2, 3, 0, 0, 4, 3, 2, 2, 3, 0, 3, 0, 4, 2, 1, 2, 0, 4, 0, 0, 3, 3, 3, 3, 2, 0, 2, 2, 2, 1, 4, 2, 1, 3, 1, 1, 3, 4, 1, 4, 2, 2, 4, 1, 2, 1, 1, 3, 1, 3, 3, 0, 1, 0, 0, 0, 0, 1, 3, 4, 4, 4, 1, 4, 2, 4, 2, 1, 3, 0, 2, 0, 2, 0, 0, 3, 3, 4, 1, 2, 4, 4, 2, 2, 4, 0, 1, 4, 0, 3, 2, 2, 3, 1, 0, 0, 2, 2, 4, 1, 2, 2, 1, 3, 1, 1, 1, 0, 4, 3, 3, 1, 0, 3, 3, 2, 1, 2, 1, 4, 2, 4, 3, 1, 3, 3, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 4, 4, 1, 2, 2, 1, 4, 2, 3, 4, 3, 2, 2, 1, 4, 0, 2, 3, 1, 4, 2, 1, 2, 1, 4, 2, 3, 4, 1, 0, 2, 1, 4, 4, 2, 2, 4, 3, 2, 2, 3, 2, 3, 0, 3, 2, 2, 1, 0, 3, 4, 3, 3, 4, 1, 0, 4, 4, 3, 2, 1, 0, 3, 0, 3, 2, 3, 0, 4, 3, 3, 2, 0, 0]
pubkeycol579 = [1, 3, 4, 0, 1, 1, 0, 4, 1, 3, 4, 0, 2, 4, 4, 3, 0, 4, 1, 0, 1, 1, 3, 2, 2, 0, 3, 1, 4, 2, 0, 2, 4, 3, 4, 3, 1, 2, 4, 3, 3, 4, 3, 1, 2, 1, 2, 0, 2, 2, 1, 4, 4, 2, 3, 0, 3, 2, 1, 0, 3, 2, 3, 2, 1, 2, 2, 3, 4, 3, 1, 1, 4, 0, 3, 3, 4, 4, 2, 1, 3, 3, 3, 4, 1, 1, 1, 0, 0, 3, 1, 1, 0, 0, 4, 4, 3, 1, 3, 2, 3, 2, 2, 3, 2, 1, 4, 1, 0, 4, 0, 4, 4, 3, 2, 4, 1, 0, 2, 0, 2, 2, 0, 3, 2, 2, 4, 1, 2, 3, 4, 2, 0, 0, 0, 3, 3, 3, 4, 2, 1, 4, 2, 4, 4, 2, 4, 1, 1, 1, 0, 2, 2, 0, 1, 0, 3, 4, 0, 1, 3, 3, 1, 4, 4, 3, 3, 2, 0, 0, 3, 0, 3, 0, 3, 1, 3, 2, 2, 0, 2, 3, 4, 2, 1, 3, 3, 1, 0, 1, 1, 1, 1, 2, 2, 0, 4, 0, 2, 2, 2, 1, 2, 2, 2, 3, 3, 4, 4, 2, 0, 3, 2, 0, 0, 0, 1, 1, 0, 3, 0, 2, 2, 2, 4, 2, 3, 3, 4, 2, 2, 0, 3, 1, 2, 2, 0, 2, 1, 2, 4, 4, 1, 1, 3, 4, 3, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 3, 4, 4, 1, 1, 2, 1, 3, 3, 3, 2, 0, 2, 0, 4, 3, 4, 4, 1, 2, 3, 1, 0, 1, 2, 1, 0, 1, 3, 3, 4, 2, 2, 3, 3, 4, 2, 0, 3, 2, 1, 2, 2, 2, 4, 4, 1, 4, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 3, 2, 3, 2, 3, 4, 2, 3, 3, 0, 3, 3, 3, 0, 1, 1, 1, 4, 3, 4, 0, 1, 3, 3, 4, 1, 0, 4, 0, 3, 4, 1, 3, 2, 2, 3, 1, 2, 1, 1, 3, 0, 3, 4, 4, 0, 2, 3, 2, 3, 1, 4, 3, 1, 4, 0, 0, 3, 3, 1, 1, 1, 1, 2, 4, 0, 2, 4, 2, 4, 1, 3, 1, 2, 1, 4, 3, 1, 4, 0, 3, 2, 3, 1, 3, 2, 4, 4, 3, 4, 1, 2, 4, 3, 1, 1, 3, 1, 4, 4, 1, 1, 0, 1, 1, 2, 3, 4, 0, 3, 4, 4, 0, 1, 1, 4, 0, 0, 0, 3, 3, 1, 3, 3, 1, 4, 4, 3, 4, 2, 4, 2, 2, 1, 0, 2, 1, 3, 3, 1, 1, 2, 0, 4, 4, 1, 2, 4, 1, 0, 3, 4, 2, 0, 0, 1, 4, 0, 3, 1, 3, 4, 4, 2, 4, 1, 3, 3, 1, 2, 4, 2, 2, 3, 4, 2, 4, 2, 2, 1, 0, 1, 3, 3, 2, 2, 3, 3, 3, 1]
pubkeycol580 = [2, 2, 1, 0, 4, 4, 2, 2, 2, 1, 0, 2, 3, 4, 4, 3, 3, 4, 1, 0, 2, 2, 2, 1, 0, 1, 3, 0, 1, 4, 0, 3, 1, 0, 4, 4, 0, 1, 4, 2, 0, 3, 1, 0, 2, 2, 0, 3, 4, 0, 3, 1, 2, 1, 4, 1, 1, 3, 2, 1, 0, 1, 4, 2, 3, 3, 3, 3, 2, 4, 1, 0, 0, 4, 4, 2, 0, 2, 4, 1, 2, 2, 4, 0, 2, 0, 0, 0, 1, 1, 2, 3, 4, 2, 3, 3, 2, 0, 2, 0, 3, 4, 3, 1, 3, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 3, 4, 4, 2, 4, 0, 1, 2, 3, 1, 3, 0, 2, 3, 4, 2, 0, 0, 0, 1, 4, 3, 0, 3, 0, 0, 1, 1, 4, 0, 2, 4, 3, 1, 3, 4, 1, 1, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 3, 1, 1, 1, 4, 2, 0, 3, 1, 1, 0, 0, 1, 0, 0, 3, 0, 4, 1, 1, 3, 1, 0, 4, 4, 4, 2, 2, 4, 1, 3, 2, 3, 1, 2, 3, 1, 3, 3, 2, 3, 0, 1, 3, 3, 2, 0, 4, 2, 1, 3, 2, 3, 0, 1, 0, 2, 1, 4, 3, 3, 4, 3, 4, 1, 0, 2, 1, 4, 2, 2, 3, 0, 3, 4, 3, 4, 2, 1, 0, 0, 3, 2, 4, 2, 2, 4, 3, 0, 2, 0, 1, 2, 4, 4, 4, 0, 1, 1, 1, 3, 1, 4, 2, 0, 3, 3, 0, 3, 2, 1, 2, 2, 4, 1, 3, 4, 2, 4, 3, 0, 4, 4, 3, 3, 4, 2, 3, 2, 0, 0, 4, 2, 1, 2, 2, 3, 3, 3, 3, 0, 0, 2, 0, 2, 1, 2, 4, 2, 1, 1, 3, 1, 0, 4, 2, 4, 0, 3, 4, 1, 2, 1, 0, 4, 0, 3, 3, 4, 0, 4, 1, 4, 4, 2, 2, 4, 3, 2, 4, 4, 3, 3, 2, 0, 0, 3, 0, 0, 0, 4, 0, 4, 4, 1, 4, 3, 3, 0, 1, 3, 3, 0, 0, 1, 4, 0, 3, 3, 4, 2, 2, 0, 4, 2, 2, 2, 3, 1, 0, 3, 3, 3, 1, 3, 4, 2, 2, 3, 3, 0, 2, 0, 3, 2, 4, 2, 0, 2, 4, 1, 2, 1, 3, 4, 0, 3, 3, 1, 2, 0, 3, 1, 3, 4, 1, 1, 0, 4, 0, 0, 0, 1, 4, 4, 0, 1, 2, 1, 4, 3, 3, 4, 3, 2, 0, 3, 1, 2, 3, 2, 0, 1, 3, 2, 1, 4, 2, 2, 3, 4, 3, 0, 0, 3, 0, 4, 0, 0, 1, 4, 2, 4, 4, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 1, 1, 1, 4, 1, 3, 2, 3, 0, 2, 1, 2, 0, 2, 0, 1, 1, 4, 2, 4, 3, 4, 2]
pubkeycol581 = [4, 0, 4, 2, 0, 1, 0, 4, 3, 2, 4, 3, 4, 1, 1, 0, 2, 2, 2, 4, 3, 3, 1, 1, 2, 2, 2, 0, 3, 0, 2, 4, 1, 4, 1, 0, 0, 1, 1, 4, 0, 2, 1, 0, 0, 4, 3, 0, 2, 4, 4, 0, 2, 0, 3, 3, 4, 4, 2, 3, 4, 2, 0, 0, 3, 0, 0, 3, 2, 0, 4, 1, 1, 0, 0, 1, 4, 0, 0, 0, 4, 2, 4, 4, 1, 1, 1, 2, 1, 0, 3, 1, 3, 4, 1, 4, 0, 2, 4, 2, 0, 4, 3, 4, 0, 2, 2, 1, 0, 2, 2, 0, 0, 4, 1, 0, 3, 0, 0, 1, 4, 4, 1, 0, 1, 3, 4, 2, 2, 0, 4, 4, 1, 3, 3, 4, 2, 3, 1, 4, 4, 1, 0, 4, 1, 0, 1, 4, 1, 4, 4, 3, 4, 2, 3, 0, 3, 2, 1, 2, 1, 4, 2, 3, 1, 4, 1, 0, 0, 4, 1, 3, 0, 2, 2, 4, 4, 0, 4, 4, 4, 3, 2, 4, 2, 0, 3, 4, 4, 3, 2, 2, 0, 3, 4, 2, 3, 3, 1, 2, 4, 1, 1, 1, 3, 3, 0, 1, 0, 2, 2, 4, 1, 4, 4, 2, 0, 0, 4, 4, 2, 3, 3, 4, 1, 2, 1, 3, 1, 3, 2, 2, 3, 4, 4, 4, 3, 0, 2, 1, 4, 4, 0, 2, 0, 3, 2, 2, 3, 3, 4, 0, 3, 1, 2, 1, 1, 2, 4, 2, 3, 2, 1, 0, 0, 3, 1, 0, 4, 1, 4, 1, 4, 4, 2, 4, 3, 2, 3, 4, 0, 1, 2, 3, 4, 2, 1, 3, 2, 2, 2, 3, 3, 1, 2, 0, 2, 4, 3, 2, 3, 4, 0, 3, 3, 4, 0, 4, 3, 2, 2, 4, 3, 2, 3, 2, 2, 2, 4, 0, 0, 2, 0, 0, 2, 1, 0, 2, 3, 0, 3, 3, 3, 1, 4, 0, 0, 2, 1, 2, 3, 4, 3, 4, 1, 4, 0, 4, 3, 0, 1, 3, 2, 3, 2, 0, 4, 1, 2, 2, 0, 0, 3, 3, 3, 0, 0, 4, 4, 2, 2, 2, 3, 4, 0, 4, 4, 0, 3, 3, 0, 0, 0, 0, 2, 0, 3, 2, 1, 0, 3, 4, 2, 4, 3, 1, 2, 4, 4, 1, 0, 3, 4, 3, 1, 3, 3, 1, 4, 2, 3, 4, 2, 1, 1, 2, 0, 4, 1, 3, 4, 4, 1, 3, 4, 0, 3, 2, 3, 1, 0, 4, 0, 4, 2, 1, 4, 2, 3, 2, 0, 2, 3, 0, 3, 4, 1, 1, 0, 0, 1, 4, 1, 3, 2, 4, 1, 2, 1, 2, 2, 2, 3, 0, 3, 2, 0, 0, 4, 3, 0, 2, 0, 1, 4, 4, 3, 4, 2, 3, 1, 2, 3, 0, 1, 2, 4, 0, 3, 3, 3, 3, 4, 4, 4, 2, 0, 1, 0, 0, 4, 4, 1, 4, 4]
pubkeycol582 = [4, 4, 2, 4, 0, 2, 2, 2, 3, 2, 2, 2, 2, 2, 1, 4, 3, 0, 0, 2, 4, 4, 1, 3, 4, 4, 1, 4, 2, 4, 2, 1, 0, 2, 0, 0, 3, 0, 2, 2, 3, 4, 0, 4, 1, 2, 1, 1, 1, 2, 4, 0, 4, 1, 4, 3, 1, 0, 3, 4, 4, 3, 0, 3, 0, 3, 4, 4, 1, 0, 3, 3, 2, 3, 0, 3, 1, 0, 0, 4, 4, 4, 3, 0, 4, 2, 4, 3, 4, 2, 2, 3, 2, 2, 3, 3, 2, 0, 2, 4, 4, 2, 4, 1, 1, 2, 1, 2, 3, 1, 3, 3, 1, 0, 3, 3, 4, 3, 0, 4, 0, 3, 2, 2, 0, 3, 2, 4, 1, 0, 3, 0, 3, 3, 4, 0, 1, 4, 4, 4, 1, 4, 0, 4, 3, 3, 4, 0, 4, 3, 0, 1, 1, 4, 3, 3, 1, 0, 2, 3, 3, 4, 2, 2, 2, 4, 2, 4, 3, 3, 4, 3, 0, 3, 3, 2, 4, 0, 1, 1, 1, 1, 4, 0, 3, 4, 0, 0, 1, 1, 2, 2, 1, 4, 2, 4, 1, 3, 4, 1, 2, 4, 2, 2, 0, 1, 1, 0, 3, 1, 4, 3, 1, 1, 4, 2, 0, 3, 0, 0, 0, 0, 4, 3, 0, 2, 1, 3, 3, 3, 3, 3, 2, 1, 3, 4, 1, 0, 0, 1, 4, 3, 1, 3, 3, 0, 3, 0, 0, 0, 0, 1, 4, 4, 2, 0, 1, 3, 3, 2, 1, 3, 2, 0, 2, 2, 1, 1, 0, 1, 1, 4, 1, 0, 0, 0, 1, 4, 3, 0, 1, 3, 4, 4, 2, 0, 3, 0, 3, 1, 3, 4, 2, 2, 3, 1, 1, 1, 1, 2, 3, 3, 4, 3, 1, 4, 2, 1, 4, 4, 4, 2, 0, 0, 0, 2, 4, 4, 1, 0, 3, 1, 1, 4, 3, 1, 3, 4, 2, 0, 4, 3, 1, 3, 3, 4, 3, 2, 4, 2, 1, 0, 0, 3, 1, 3, 4, 3, 2, 4, 4, 2, 0, 4, 3, 3, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 3, 1, 4, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 4, 1, 2, 3, 1, 1, 1, 0, 1, 3, 3, 0, 0, 4, 1, 0, 1, 0, 0, 2, 4, 3, 4, 2, 3, 0, 3, 4, 3, 2, 4, 2, 0, 3, 0, 4, 2, 1, 0, 1, 3, 2, 0, 0, 3, 0, 4, 2, 4, 3, 3, 0, 1, 1, 4, 3, 2, 4, 3, 1, 3, 3, 4, 3, 2, 2, 2, 0, 3, 2, 2, 0, 3, 2, 1, 1, 2, 2, 3, 4, 1, 0, 2, 0, 2, 2, 1, 3, 4, 1, 3, 0, 4, 4, 2, 2, 0, 2, 1, 2, 4, 1, 0, 0, 2, 1, 0, 1, 0, 4, 1, 3, 0, 4, 4, 0, 2, 0, 4, 4, 4, 4, 3, 3]
pubkeycol583 = [4, 3, 0, 3, 4, 2, 2, 1, 4, 2, 0, 4, 4, 1, 2, 4, 2, 2, 4, 0, 3, 0, 0, 4, 1, 2, 1, 0, 2, 1, 2, 3, 2, 2, 0, 0, 3, 0, 4, 4, 0, 3, 1, 1, 3, 2, 1, 2, 1, 2, 4, 2, 4, 3, 2, 2, 2, 3, 0, 3, 0, 1, 4, 4, 3, 0, 1, 4, 3, 4, 0, 3, 4, 1, 1, 4, 1, 3, 0, 1, 0, 4, 2, 0, 1, 3, 4, 3, 0, 0, 0, 3, 3, 0, 3, 2, 2, 4, 0, 0, 2, 4, 3, 3, 3, 4, 3, 4, 2, 2, 1, 0, 4, 1, 3, 4, 1, 2, 0, 3, 2, 4, 1, 4, 0, 1, 3, 0, 0, 0, 2, 2, 3, 4, 1, 2, 4, 1, 1, 3, 1, 3, 1, 2, 3, 2, 1, 4, 1, 0, 0, 1, 3, 2, 2, 3, 0, 0, 4, 3, 3, 1, 3, 3, 1, 0, 1, 1, 0, 1, 4, 4, 4, 1, 4, 3, 3, 0, 2, 2, 1, 0, 1, 4, 2, 4, 3, 0, 0, 2, 4, 1, 0, 0, 3, 2, 4, 3, 3, 1, 4, 4, 4, 2, 2, 4, 2, 4, 1, 4, 0, 0, 2, 1, 0, 3, 4, 3, 2, 0, 0, 3, 2, 4, 3, 1, 4, 0, 4, 0, 4, 0, 3, 4, 0, 4, 2, 2, 1, 2, 0, 4, 1, 4, 4, 2, 4, 4, 3, 1, 1, 1, 2, 1, 3, 2, 0, 3, 0, 4, 2, 0, 3, 2, 0, 0, 3, 1, 3, 0, 2, 0, 2, 3, 3, 1, 2, 3, 1, 3, 3, 2, 2, 3, 4, 3, 4, 2, 0, 4, 0, 0, 0, 4, 2, 0, 4, 0, 4, 1, 1, 3, 3, 3, 2, 2, 1, 1, 2, 0, 1, 4, 4, 1, 1, 4, 4, 2, 2, 0, 4, 3, 0, 2, 0, 1, 3, 2, 1, 2, 2, 0, 2, 1, 0, 0, 3, 0, 1, 4, 3, 4, 0, 0, 0, 2, 2, 3, 3, 1, 1, 0, 2, 0, 2, 2, 2, 4, 2, 2, 3, 2, 2, 4, 3, 1, 2, 1, 4, 1, 1, 3, 2, 3, 1, 4, 1, 3, 3, 4, 1, 1, 4, 2, 1, 2, 2, 0, 3, 0, 1, 4, 0, 3, 3, 0, 3, 1, 0, 0, 0, 1, 1, 3, 2, 0, 3, 4, 3, 2, 1, 1, 1, 2, 1, 4, 0, 0, 3, 1, 3, 3, 2, 4, 0, 0, 0, 2, 0, 4, 1, 3, 4, 0, 1, 0, 2, 4, 3, 3, 4, 4, 3, 2, 4, 0, 3, 3, 2, 2, 1, 0, 2, 4, 0, 1, 4, 2, 4, 4, 2, 2, 1, 1, 4, 0, 3, 4, 0, 3, 0, 4, 4, 0, 2, 4, 4, 4, 0, 1, 2, 4, 2, 3, 0, 3, 4, 3, 4, 1, 1, 3, 2, 3, 3, 4, 0, 1, 0, 0, 1, 0, 0, 2, 0]
pubkeycol584 = [3, 1, 1, 2, 2, 0, 0, 2, 0, 2, 4, 2, 1, 0, 0, 1, 3, 2, 2, 4, 3, 0, 4, 1, 4, 2, 4, 4, 0, 4, 4, 4, 1, 2, 1, 3, 0, 2, 0, 4, 0, 1, 0, 4, 2, 2, 1, 4, 1, 0, 4, 4, 2, 0, 1, 1, 2, 2, 2, 3, 1, 4, 4, 2, 2, 3, 4, 0, 0, 4, 2, 1, 3, 2, 2, 0, 2, 4, 3, 2, 4, 1, 0, 1, 4, 2, 1, 3, 3, 4, 1, 1, 2, 0, 0, 3, 4, 1, 4, 4, 4, 2, 2, 0, 4, 0, 2, 4, 3, 3, 1, 2, 2, 4, 4, 4, 3, 0, 0, 4, 0, 1, 0, 2, 2, 1, 2, 1, 3, 0, 2, 2, 1, 2, 0, 2, 2, 4, 4, 1, 0, 0, 3, 3, 3, 2, 3, 2, 2, 3, 3, 0, 1, 3, 3, 0, 0, 2, 1, 4, 4, 1, 0, 1, 4, 2, 3, 1, 3, 2, 2, 4, 4, 3, 2, 1, 0, 1, 3, 1, 1, 1, 4, 4, 0, 1, 4, 2, 4, 3, 4, 0, 0, 4, 1, 3, 3, 3, 1, 0, 0, 1, 4, 0, 0, 3, 4, 0, 3, 0, 1, 2, 4, 3, 4, 4, 4, 2, 0, 3, 1, 3, 1, 2, 2, 4, 2, 0, 4, 3, 4, 3, 4, 0, 0, 0, 2, 3, 1, 4, 0, 4, 4, 0, 3, 1, 1, 4, 4, 1, 4, 1, 0, 1, 2, 0, 3, 4, 0, 4, 2, 2, 1, 2, 0, 4, 0, 3, 1, 2, 1, 3, 2, 0, 1, 1, 0, 1, 4, 1, 0, 3, 2, 2, 2, 3, 1, 3, 4, 2, 2, 3, 3, 4, 1, 3, 0, 4, 1, 4, 3, 4, 4, 2, 3, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 3, 4, 0, 2, 0, 0, 4, 4, 0, 3, 3, 1, 2, 0, 1, 2, 1, 3, 3, 1, 0, 3, 4, 1, 2, 0, 4, 0, 2, 4, 1, 3, 0, 0, 1, 1, 1, 2, 0, 4, 2, 4, 1, 4, 4, 1, 2, 2, 1, 0, 4, 4, 4, 1, 0, 4, 1, 1, 3, 2, 0, 1, 0, 4, 0, 4, 4, 0, 2, 0, 3, 1, 4, 3, 1, 4, 2, 1, 1, 3, 1, 0, 2, 0, 3, 0, 2, 3, 0, 2, 2, 3, 3, 1, 1, 2, 0, 1, 3, 3, 4, 0, 2, 2, 0, 0, 2, 3, 1, 4, 4, 3, 3, 3, 3, 4, 1, 3, 0, 2, 4, 4, 1, 1, 4, 4, 1, 3, 4, 3, 2, 1, 1, 2, 1, 4, 0, 2, 2, 4, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 4, 3, 2, 2, 3, 2, 1, 0, 2, 3, 1, 4, 3, 4, 2, 1, 1, 1, 3, 3, 1, 2, 4, 0, 0, 0, 4, 0, 0, 0, 3, 0, 4, 1, 2, 4, 0, 1, 1, 0]
pubkeycol585 = [0, 0, 0, 1, 3, 4, 1, 4, 1, 1, 1, 2, 2, 2, 0, 4, 3, 4, 4, 3, 4, 3, 3, 1, 2, 2, 2, 0, 1, 3, 4, 3, 4, 2, 1, 4, 4, 0, 4, 0, 2, 2, 3, 0, 2, 4, 2, 0, 4, 2, 2, 1, 4, 0, 1, 0, 2, 4, 2, 0, 1, 0, 0, 2, 1, 1, 0, 4, 2, 3, 1, 1, 1, 3, 1, 3, 3, 0, 2, 2, 3, 2, 3, 4, 3, 1, 3, 1, 1, 3, 0, 2, 2, 0, 0, 3, 4, 0, 3, 3, 0, 3, 4, 2, 0, 2, 2, 0, 4, 1, 2, 0, 4, 1, 4, 1, 3, 1, 3, 3, 4, 3, 1, 4, 4, 2, 4, 4, 0, 3, 3, 2, 1, 2, 0, 2, 3, 1, 2, 4, 2, 1, 3, 4, 1, 2, 3, 0, 1, 2, 4, 4, 0, 3, 0, 3, 2, 2, 4, 3, 0, 2, 4, 4, 2, 1, 4, 4, 2, 3, 1, 1, 2, 4, 1, 2, 1, 1, 4, 3, 2, 3, 1, 0, 3, 3, 0, 0, 4, 2, 1, 0, 3, 1, 3, 1, 3, 4, 3, 1, 0, 1, 1, 1, 3, 3, 2, 4, 1, 2, 1, 2, 3, 2, 2, 3, 3, 4, 3, 4, 2, 1, 4, 3, 1, 2, 1, 3, 3, 0, 0, 4, 2, 3, 0, 1, 4, 4, 4, 2, 0, 1, 2, 2, 1, 1, 1, 2, 4, 3, 2, 3, 0, 4, 1, 1, 2, 4, 4, 0, 4, 3, 2, 4, 0, 3, 2, 1, 4, 3, 3, 4, 0, 2, 0, 3, 3, 4, 0, 0, 1, 4, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 3, 0, 3, 1, 1, 2, 4, 1, 3, 3, 3, 2, 3, 0, 4, 4, 4, 4, 2, 4, 0, 4, 3, 4, 1, 4, 0, 1, 1, 2, 3, 1, 3, 1, 0, 3, 4, 4, 1, 2, 1, 0, 0, 3, 0, 4, 1, 0, 3, 0, 3, 3, 3, 4, 3, 4, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 4, 1, 3, 0, 1, 4, 3, 1, 1, 3, 4, 4, 3, 4, 0, 2, 3, 0, 0, 3, 1, 2, 3, 3, 2, 0, 1, 0, 0, 0, 3, 0, 0, 0, 4, 0, 2, 0, 4, 3, 3, 4, 3, 3, 4, 2, 1, 1, 4, 3, 0, 0, 0, 1, 4, 4, 3, 2, 3, 2, 1, 0, 1, 2, 4, 3, 2, 4, 3, 2, 2, 0, 3, 3, 1, 3, 3, 4, 3, 1, 0, 3, 4, 1, 2, 0, 3, 1, 3, 0, 3, 3, 3, 0, 2, 4, 4, 0, 4, 3, 2, 0, 1, 4, 3, 3, 0, 1, 2, 2, 0, 4, 2, 4, 4, 0, 3, 1, 4, 0, 1, 0, 2, 0, 1, 3, 0, 1, 2, 0, 4, 2, 1, 3, 3, 4, 1, 0, 0, 2, 2, 0, 3, 2, 1, 2]
pubkeycol586 = [3, 1, 3, 4, 2, 2, 1, 0, 4, 3, 0, 3, 0, 0, 4, 2, 1, 0, 1, 3, 0, 3, 4, 4, 4, 0, 3, 2, 4, 4, 0, 2, 0, 2, 4, 4, 1, 3, 4, 0, 1, 4, 2, 3, 3, 3, 3, 4, 4, 1, 4, 0, 1, 0, 1, 2, 1, 2, 2, 4, 1, 0, 3, 4, 4, 2, 3, 2, 4, 4, 4, 1, 2, 1, 2, 1, 3, 0, 3, 2, 2, 1, 4, 1, 4, 0, 2, 2, 3, 1, 4, 1, 2, 2, 0, 4, 3, 1, 1, 1, 4, 2, 0, 3, 4, 3, 4, 2, 2, 0, 1, 2, 4, 4, 0, 4, 2, 0, 1, 3, 2, 0, 1, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 1, 0, 0, 2, 4, 1, 4, 4, 1, 0, 1, 0, 2, 3, 3, 4, 3, 3, 0, 4, 2, 2, 4, 3, 3, 4, 1, 2, 4, 3, 1, 1, 1, 2, 3, 3, 4, 3, 0, 2, 0, 4, 3, 0, 0, 0, 4, 0, 2, 4, 0, 0, 1, 0, 0, 0, 2, 0, 1, 3, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 4, 4, 3, 3, 3, 4, 0, 0, 1, 3, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 3, 1, 1, 0, 2, 2, 4, 1, 2, 2, 1, 3, 4, 1, 4, 1, 0, 3, 0, 3, 1, 3, 1, 1, 1, 2, 0, 0, 3, 3, 1, 0, 3, 4, 4, 3, 2, 3, 3, 3, 2, 4, 0, 0, 3, 3, 2, 0, 1, 1, 3, 0, 4, 4, 4, 0, 3, 3, 1, 1, 3, 3, 4, 3, 3, 2, 0, 3, 2, 3, 4, 3, 2, 4, 3, 2, 0, 0, 1, 2, 2, 0, 0, 4, 2, 3, 4, 1, 4, 0, 0, 3, 3, 2, 0, 1, 0, 2, 3, 2, 4, 3, 1, 3, 0, 1, 2, 4, 2, 0, 2, 2, 4, 0, 3, 1, 1, 0, 1, 4, 2, 2, 1, 0, 2, 4, 0, 1, 3, 4, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 4, 1, 3, 2, 1, 1, 0, 0, 2, 4, 0, 4, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 3, 2, 0, 2, 0, 1, 1, 1, 3, 0, 3, 0, 3, 2, 3, 4, 1, 4, 0, 0, 4, 0, 3, 3, 2, 0, 3, 4, 1, 1, 2, 0, 1, 4, 4, 0, 3, 3, 4, 2, 1, 0, 3, 4, 4, 2, 3, 0, 2, 4, 0, 2, 2, 3, 4, 4, 1, 0, 2, 0, 4, 3, 4, 2, 3, 3, 0, 1, 1, 3, 0, 1, 2, 4, 2, 3, 4, 4, 1, 0, 0, 2, 2, 0, 1, 1, 1, 3, 4, 3, 0, 0, 0, 4, 3, 0, 2, 2, 3, 1, 3, 4, 1, 4, 3, 0, 3, 2, 1, 2, 1, 1, 1, 2, 4]
pubkeycol587 = [0, 0, 1, 4, 4, 0, 1, 0, 2, 2, 2, 3, 3, 2, 3, 0, 2, 2, 2, 1, 1, 1, 4, 0, 2, 2, 3, 0, 4, 2, 2, 4, 2, 2, 1, 4, 0, 4, 1, 0, 4, 0, 1, 1, 1, 2, 3, 2, 3, 0, 2, 2, 4, 0, 3, 2, 2, 0, 2, 1, 0, 0, 3, 2, 4, 3, 4, 3, 4, 1, 1, 4, 1, 2, 4, 0, 0, 1, 1, 0, 3, 3, 1, 1, 1, 3, 0, 2, 2, 1, 4, 1, 3, 1, 1, 0, 4, 0, 0, 2, 1, 4, 0, 4, 3, 4, 3, 4, 4, 2, 0, 2, 2, 3, 0, 1, 1, 2, 0, 4, 3, 4, 4, 1, 1, 4, 0, 3, 4, 3, 2, 0, 4, 1, 0, 1, 0, 0, 0, 2, 4, 3, 3, 3, 3, 1, 3, 0, 4, 1, 1, 1, 0, 1, 1, 4, 1, 0, 2, 0, 0, 4, 3, 0, 3, 3, 4, 3, 1, 4, 3, 3, 2, 1, 3, 3, 3, 1, 1, 0, 3, 1, 4, 4, 1, 3, 2, 2, 4, 4, 4, 4, 2, 3, 1, 3, 3, 4, 0, 2, 0, 0, 1, 1, 1, 2, 1, 4, 4, 0, 2, 1, 0, 1, 0, 3, 0, 3, 4, 3, 3, 0, 3, 1, 0, 0, 4, 1, 2, 4, 3, 3, 3, 0, 0, 4, 2, 4, 0, 1, 3, 0, 3, 2, 3, 1, 0, 4, 2, 4, 1, 1, 2, 0, 3, 3, 0, 4, 0, 3, 2, 1, 0, 2, 1, 4, 0, 1, 0, 4, 4, 3, 0, 2, 3, 2, 0, 3, 2, 4, 4, 4, 4, 0, 2, 2, 1, 4, 3, 2, 2, 3, 0, 4, 2, 3, 2, 2, 0, 2, 4, 2, 4, 2, 3, 3, 3, 4, 1, 0, 2, 3, 0, 3, 3, 1, 4, 1, 0, 0, 0, 4, 4, 4, 0, 1, 1, 4, 2, 4, 3, 1, 4, 4, 0, 3, 3, 3, 4, 3, 1, 3, 3, 3, 2, 4, 0, 1, 1, 4, 4, 2, 3, 1, 0, 2, 2, 1, 0, 0, 3, 2, 3, 4, 4, 3, 1, 1, 4, 2, 2, 2, 2, 4, 4, 4, 4, 0, 1, 1, 2, 0, 2, 4, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 3, 0, 4, 4, 0, 3, 3, 2, 2, 0, 1, 0, 4, 3, 1, 3, 3, 2, 3, 4, 2, 1, 0, 2, 3, 3, 1, 3, 1, 2, 1, 3, 4, 0, 4, 0, 1, 3, 3, 0, 1, 0, 4, 2, 4, 1, 1, 4, 1, 1, 1, 2, 1, 1, 4, 4, 3, 2, 4, 0, 1, 0, 4, 2, 4, 0, 3, 2, 1, 3, 4, 0, 3, 0, 0, 1, 2, 1, 3, 4, 4, 2, 2, 0, 0, 3, 0, 1, 3, 3, 1, 2, 2, 0, 2, 3, 0, 4, 2, 2, 0, 4, 3, 1, 1, 3, 2, 3]
pubkeycol588 = [1, 2, 3, 4, 1, 2, 0, 3, 2, 0, 2, 4, 3, 1, 3, 2, 1, 0, 3, 1, 3, 0, 3, 4, 1, 2, 4, 4, 1, 1, 1, 3, 4, 2, 2, 2, 3, 0, 2, 4, 2, 0, 4, 1, 3, 1, 2, 3, 2, 2, 0, 3, 0, 1, 3, 4, 3, 1, 0, 1, 4, 1, 0, 1, 0, 2, 0, 4, 0, 2, 0, 4, 4, 0, 1, 2, 0, 4, 0, 4, 1, 1, 2, 2, 4, 2, 3, 2, 0, 4, 1, 4, 3, 4, 3, 2, 1, 0, 2, 0, 0, 4, 4, 3, 0, 0, 0, 0, 2, 4, 4, 4, 0, 0, 1, 0, 1, 2, 3, 4, 3, 3, 4, 3, 2, 2, 2, 2, 3, 4, 0, 3, 2, 2, 2, 1, 4, 0, 0, 0, 0, 4, 0, 1, 2, 0, 2, 0, 1, 0, 2, 4, 3, 0, 0, 0, 3, 2, 4, 0, 1, 0, 3, 2, 0, 0, 4, 0, 3, 3, 0, 4, 0, 1, 2, 4, 3, 2, 1, 4, 0, 1, 4, 4, 0, 1, 2, 3, 4, 3, 0, 1, 0, 4, 0, 1, 3, 4, 1, 2, 4, 2, 0, 2, 1, 2, 0, 4, 2, 3, 0, 0, 0, 3, 0, 4, 2, 2, 2, 0, 0, 0, 1, 3, 3, 2, 4, 4, 3, 3, 2, 4, 4, 4, 1, 3, 0, 4, 1, 1, 3, 3, 3, 3, 2, 2, 3, 4, 0, 0, 1, 1, 3, 0, 2, 3, 1, 0, 3, 1, 0, 1, 0, 1, 2, 2, 2, 1, 4, 4, 1, 4, 2, 1, 3, 2, 3, 0, 3, 2, 1, 3, 0, 1, 0, 3, 4, 4, 3, 2, 0, 2, 2, 4, 4, 2, 2, 2, 0, 2, 4, 4, 1, 3, 1, 0, 0, 2, 1, 4, 1, 2, 3, 0, 2, 2, 4, 0, 4, 1, 2, 3, 3, 1, 3, 3, 0, 1, 3, 1, 3, 4, 2, 4, 2, 0, 3, 3, 0, 4, 0, 4, 0, 4, 0, 3, 1, 1, 3, 2, 1, 0, 2, 3, 1, 1, 1, 2, 3, 3, 2, 3, 2, 3, 3, 4, 1, 1, 2, 3, 0, 3, 2, 2, 1, 3, 4, 0, 0, 1, 0, 1, 4, 3, 3, 1, 1, 3, 1, 0, 1, 1, 1, 2, 4, 1, 4, 3, 4, 1, 2, 3, 2, 3, 3, 1, 3, 0, 4, 1, 1, 3, 3, 2, 2, 0, 4, 3, 0, 3, 1, 0, 1, 4, 2, 2, 0, 0, 2, 3, 4, 0, 3, 2, 0, 4, 2, 2, 4, 1, 3, 2, 3, 2, 0, 2, 4, 3, 3, 4, 4, 0, 4, 1, 1, 2, 2, 0, 2, 3, 0, 1, 2, 4, 0, 0, 4, 0, 4, 1, 1, 3, 1, 4, 0, 3, 0, 0, 0, 2, 2, 4, 1, 3, 0, 0, 2, 3, 0, 4, 4, 3, 4, 3, 4, 1, 4, 4, 2, 0, 4, 1, 2, 2, 2]
pubkeycol589 = [3, 4, 3, 1, 0, 0, 2, 3, 0, 2, 2, 3, 1, 4, 2, 2, 1, 2, 2, 0, 4, 1, 0, 2, 1, 2, 4, 4, 1, 1, 2, 2, 3, 1, 0, 3, 1, 2, 4, 1, 0, 0, 0, 2, 2, 3, 1, 3, 3, 3, 1, 2, 1, 1, 0, 3, 4, 4, 0, 3, 2, 0, 4, 3, 0, 1, 0, 0, 4, 0, 3, 1, 4, 3, 1, 3, 4, 4, 2, 3, 4, 0, 0, 4, 2, 3, 3, 0, 1, 3, 1, 2, 1, 4, 3, 3, 0, 0, 2, 2, 1, 2, 3, 0, 4, 3, 4, 0, 0, 2, 2, 1, 3, 1, 4, 1, 0, 3, 2, 2, 0, 0, 1, 3, 0, 1, 0, 4, 2, 3, 1, 0, 2, 4, 3, 3, 4, 1, 1, 3, 0, 0, 1, 3, 3, 0, 3, 2, 2, 4, 1, 1, 0, 1, 4, 4, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 4, 1, 1, 3, 1, 3, 2, 1, 2, 3, 0, 0, 2, 2, 3, 0, 0, 0, 4, 0, 2, 2, 3, 2, 2, 1, 4, 2, 2, 2, 4, 2, 3, 4, 3, 0, 1, 4, 1, 2, 3, 3, 3, 3, 4, 3, 3, 1, 0, 2, 4, 0, 0, 2, 4, 2, 2, 3, 3, 3, 2, 1, 2, 3, 3, 2, 2, 2, 1, 0, 3, 4, 3, 3, 1, 3, 1, 2, 2, 3, 1, 1, 4, 3, 4, 2, 0, 2, 0, 2, 2, 2, 0, 1, 4, 1, 4, 1, 0, 1, 0, 3, 3, 2, 2, 4, 4, 2, 4, 1, 3, 0, 2, 4, 0, 1, 4, 2, 0, 2, 3, 4, 0, 1, 0, 4, 4, 0, 1, 0, 4, 2, 0, 2, 3, 4, 4, 1, 4, 4, 2, 1, 0, 1, 3, 1, 3, 0, 1, 0, 2, 2, 4, 1, 1, 0, 4, 0, 1, 3, 3, 2, 2, 2, 3, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 4, 1, 3, 3, 3, 2, 1, 4, 0, 2, 1, 4, 3, 1, 0, 1, 1, 3, 3, 3, 2, 1, 0, 2, 4, 0, 3, 4, 3, 0, 4, 2, 2, 0, 2, 4, 3, 3, 4, 2, 0, 0, 3, 1, 3, 3, 3, 0, 2, 0, 4, 4, 3, 3, 3, 2, 1, 0, 1, 2, 4, 0, 3, 1, 1, 2, 0, 1, 3, 0, 3, 4, 0, 3, 1, 3, 1, 3, 4, 4, 0, 4, 1, 3, 3, 2, 0, 3, 0, 0, 4, 3, 3, 3, 1, 0, 4, 2, 0, 0, 3, 0, 1, 0, 2, 2, 0, 0, 4, 3, 3, 3, 2, 3, 2, 3, 3, 3, 4, 1, 3, 0, 3, 1, 1, 3, 1, 3, 3, 1, 3, 1, 1, 0, 3, 2, 4, 2, 3, 1, 3, 4, 3, 0, 2, 1, 4, 1, 3, 2, 0, 4, 4, 1, 1, 4, 2, 0, 1, 2]
pubkeycol590 = [1, 2, 3, 4, 1, 0, 0, 2, 0, 3, 1, 3, 4, 0, 3, 0, 3, 1, 4, 2, 3, 2, 4, 4, 1, 1, 0, 4, 0, 0, 1, 3, 0, 3, 2, 2, 4, 4, 0, 1, 2, 4, 3, 0, 3, 1, 2, 3, 1, 3, 2, 2, 4, 2, 4, 3, 2, 1, 0, 3, 0, 4, 2, 2, 4, 1, 0, 2, 4, 2, 4, 2, 0, 0, 4, 0, 4, 0, 3, 3, 2, 2, 0, 2, 1, 1, 3, 2, 1, 3, 3, 3, 1, 0, 1, 0, 4, 1, 3, 2, 3, 4, 4, 0, 2, 0, 0, 4, 2, 2, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 2, 2, 1, 0, 4, 1, 2, 3, 4, 4, 0, 3, 2, 4, 0, 1, 1, 2, 0, 3, 2, 2, 2, 0, 0, 0, 3, 3, 4, 0, 3, 3, 0, 0, 3, 1, 3, 4, 0, 2, 3, 3, 3, 0, 4, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 3, 2, 4, 1, 4, 0, 2, 2, 0, 0, 3, 0, 3, 3, 4, 3, 1, 4, 1, 4, 4, 3, 3, 3, 2, 1, 2, 2, 0, 4, 1, 1, 3, 2, 4, 2, 3, 3, 3, 4, 0, 0, 1, 1, 3, 3, 2, 4, 2, 1, 0, 0, 3, 1, 3, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 3, 0, 0, 1, 1, 4, 0, 4, 3, 3, 4, 3, 4, 2, 2, 3, 2, 1, 2, 1, 0, 2, 0, 3, 2, 3, 4, 2, 4, 1, 3, 3, 3, 4, 0, 3, 2, 4, 0, 4, 4, 3, 0, 0, 4, 3, 3, 1, 2, 3, 1, 2, 4, 0, 0, 4, 3, 0, 4, 0, 0, 0, 4, 4, 1, 1, 2, 3, 1, 3, 4, 4, 2, 4, 3, 0, 3, 3, 3, 0, 1, 3, 2, 0, 0, 3, 3, 2, 1, 3, 2, 0, 0, 1, 4, 0, 2, 1, 0, 1, 3, 2, 4, 1, 3, 4, 3, 0, 0, 2, 0, 2, 4, 2, 2, 1, 4, 2, 3, 0, 3, 0, 3, 0, 3, 0, 1, 2, 2, 2, 3, 0, 1, 2, 3, 0, 3, 1, 0, 2, 4, 4, 4, 1, 3, 2, 2, 4, 1, 3, 2, 3, 2, 2, 3, 4, 0, 3, 2, 0, 3, 2, 3, 1, 0, 4, 4, 2, 1, 3, 0, 3, 4, 3, 0, 4, 0, 1, 3, 3, 1, 3, 3, 4, 1, 0, 0, 1, 3, 4, 1, 0, 1, 3, 0, 0, 0, 3, 1, 0, 3, 4, 3, 3, 4, 3, 0, 2, 0, 3, 0, 1, 2, 3, 0, 3, 3, 4, 4, 3, 3, 2, 2, 3, 4, 1, 4, 0, 4, 4, 3, 0, 4, 4, 3, 4, 2, 1, 4, 1, 1, 4, 3, 0, 4, 4, 0, 4, 2, 1, 0, 4, 2, 0, 4, 1, 1, 3, 1, 0, 4, 3, 0, 0]
pubkeycol591 = [2, 4, 1, 0, 4, 1, 1, 2, 4, 4, 1, 3, 1, 0, 4, 3, 3, 3, 1, 0, 1, 4, 0, 2, 3, 4, 3, 0, 4, 0, 4, 0, 1, 0, 4, 1, 1, 0, 1, 4, 3, 1, 4, 0, 1, 1, 1, 2, 2, 0, 4, 4, 1, 0, 0, 0, 0, 2, 1, 0, 1, 4, 4, 3, 1, 3, 4, 0, 4, 1, 1, 3, 3, 1, 4, 2, 2, 1, 0, 1, 3, 1, 1, 0, 1, 2, 4, 1, 1, 4, 1, 3, 2, 1, 2, 0, 0, 3, 0, 1, 0, 1, 0, 2, 2, 3, 4, 4, 1, 0, 2, 2, 3, 3, 2, 1, 4, 0, 1, 2, 0, 2, 1, 2, 1, 4, 1, 0, 4, 1, 0, 4, 0, 0, 3, 3, 3, 1, 0, 1, 0, 4, 1, 0, 4, 2, 4, 3, 2, 0, 1, 2, 0, 3, 0, 0, 2, 3, 4, 2, 2, 2, 2, 2, 2, 0, 3, 1, 2, 1, 3, 3, 3, 0, 3, 4, 0, 0, 3, 4, 0, 4, 2, 1, 2, 1, 1, 0, 0, 3, 3, 4, 3, 1, 3, 4, 3, 3, 4, 2, 0, 0, 3, 3, 3, 0, 0, 0, 1, 0, 3, 3, 3, 4, 4, 1, 0, 4, 4, 0, 0, 4, 0, 2, 2, 2, 4, 2, 0, 0, 4, 1, 4, 4, 0, 1, 2, 1, 1, 0, 3, 0, 0, 2, 0, 1, 2, 4, 0, 3, 3, 0, 4, 0, 0, 0, 1, 0, 1, 0, 2, 1, 3, 0, 2, 1, 2, 0, 4, 2, 1, 2, 2, 2, 2, 3, 4, 3, 1, 4, 0, 0, 4, 1, 0, 2, 0, 2, 0, 0, 4, 0, 4, 1, 3, 3, 4, 3, 2, 2, 4, 1, 2, 4, 2, 4, 4, 4, 4, 1, 3, 0, 3, 0, 4, 3, 4, 3, 2, 2, 0, 0, 4, 2, 0, 0, 1, 2, 4, 3, 4, 4, 2, 3, 0, 4, 0, 4, 3, 0, 4, 4, 1, 1, 1, 2, 0, 4, 0, 2, 3, 4, 2, 4, 1, 2, 4, 0, 0, 4, 0, 2, 0, 0, 4, 4, 0, 3, 1, 1, 0, 4, 1, 2, 1, 1, 4, 4, 0, 4, 0, 4, 3, 1, 1, 2, 4, 2, 0, 2, 3, 2, 0, 2, 2, 0, 1, 0, 2, 4, 3, 0, 3, 0, 0, 3, 4, 4, 2, 1, 0, 1, 1, 2, 0, 3, 1, 4, 2, 3, 4, 1, 3, 0, 0, 2, 3, 2, 4, 4, 3, 4, 2, 1, 1, 0, 1, 2, 0, 4, 3, 2, 4, 0, 2, 3, 2, 0, 1, 4, 3, 3, 2, 3, 4, 0, 3, 1, 1, 2, 4, 4, 1, 0, 0, 4, 2, 4, 4, 4, 4, 2, 4, 4, 0, 4, 0, 4, 1, 4, 1, 2, 3, 4, 0, 4, 4, 3, 4, 1, 4, 1, 2, 2, 3, 0, 0, 2, 1, 1, 0, 1, 2, 2, 4]
pubkeycol592 = [1, 4, 1, 2, 4, 3, 3, 1, 1, 4, 3, 3, 2, 0, 2, 1, 2, 3, 0, 2, 3, 2, 2, 0, 1, 4, 3, 1, 4, 2, 0, 1, 4, 4, 1, 1, 1, 4, 4, 2, 3, 2, 2, 3, 1, 2, 1, 1, 3, 3, 4, 4, 1, 2, 1, 1, 4, 3, 2, 4, 4, 0, 3, 1, 4, 4, 4, 4, 1, 3, 1, 4, 1, 4, 2, 1, 4, 0, 1, 1, 3, 4, 2, 2, 3, 0, 0, 1, 3, 3, 2, 4, 4, 0, 2, 0, 2, 4, 3, 3, 4, 2, 2, 0, 2, 0, 1, 4, 2, 0, 3, 0, 2, 3, 0, 4, 1, 2, 3, 4, 4, 3, 0, 1, 1, 4, 2, 0, 2, 3, 1, 1, 0, 3, 4, 0, 2, 3, 1, 2, 3, 1, 2, 2, 4, 2, 0, 2, 3, 2, 2, 3, 0, 3, 4, 4, 3, 4, 0, 0, 0, 2, 0, 0, 4, 2, 1, 2, 4, 0, 3, 2, 1, 3, 1, 0, 0, 1, 1, 3, 4, 0, 1, 4, 0, 1, 2, 3, 4, 0, 1, 3, 0, 3, 0, 4, 4, 3, 1, 1, 1, 0, 3, 3, 0, 4, 2, 3, 2, 3, 4, 1, 1, 2, 2, 1, 2, 0, 2, 3, 1, 4, 1, 2, 3, 3, 3, 0, 3, 0, 4, 1, 4, 2, 3, 2, 1, 3, 4, 1, 4, 0, 3, 1, 0, 1, 2, 4, 0, 0, 2, 1, 3, 4, 2, 0, 4, 1, 1, 0, 3, 4, 1, 1, 1, 3, 4, 1, 1, 3, 4, 0, 4, 2, 0, 3, 4, 4, 2, 3, 0, 1, 0, 0, 1, 4, 1, 1, 4, 1, 2, 0, 1, 4, 1, 2, 4, 4, 3, 2, 4, 0, 4, 1, 1, 2, 0, 3, 0, 4, 3, 4, 2, 3, 4, 0, 0, 1, 3, 1, 2, 4, 2, 3, 0, 3, 0, 3, 0, 3, 1, 1, 0, 1, 4, 3, 2, 1, 3, 1, 4, 2, 4, 0, 3, 2, 1, 1, 4, 4, 1, 3, 3, 2, 1, 4, 0, 1, 3, 1, 0, 3, 3, 2, 3, 2, 4, 3, 1, 3, 4, 0, 1, 2, 0, 4, 0, 4, 1, 2, 1, 2, 2, 3, 0, 2, 3, 2, 2, 0, 0, 0, 1, 2, 3, 0, 1, 2, 2, 2, 0, 1, 4, 0, 2, 1, 2, 0, 4, 0, 1, 3, 1, 4, 4, 3, 2, 1, 0, 2, 3, 4, 3, 3, 1, 0, 3, 0, 0, 3, 2, 0, 4, 4, 1, 2, 0, 4, 3, 4, 2, 3, 2, 4, 0, 0, 0, 4, 2, 3, 1, 0, 2, 3, 4, 4, 3, 2, 1, 2, 4, 2, 1, 1, 0, 4, 1, 3, 3, 0, 4, 4, 4, 1, 2, 1, 2, 1, 1, 4, 3, 0, 4, 2, 1, 1, 3, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 3, 3]
pubkeycol593 = [4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 3, 4, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 3, 3, 2, 0, 4, 3, 1, 4, 3, 2, 0, 4, 4, 1, 2, 2, 3, 0, 1, 3, 4, 1, 1, 1, 0, 3, 0, 2, 1, 3, 0, 3, 3, 4, 3, 0, 3, 0, 3, 0, 4, 1, 1, 4, 1, 1, 4, 2, 3, 1, 3, 4, 1, 4, 0, 1, 3, 4, 3, 2, 2, 0, 0, 3, 2, 1, 2, 0, 4, 1, 3, 3, 4, 0, 0, 3, 0, 3, 1, 4, 4, 3, 0, 1, 4, 4, 1, 2, 2, 0, 0, 4, 0, 2, 4, 2, 4, 2, 4, 3, 1, 1, 0, 2, 1, 0, 2, 3, 0, 3, 0, 4, 3, 1, 4, 2, 0, 3, 4, 3, 3, 2, 3, 3, 4, 4, 0, 0, 3, 4, 4, 1, 2, 1, 3, 3, 4, 2, 0, 4, 4, 1, 1, 0, 4, 3, 3, 2, 1, 3, 2, 0, 4, 0, 2, 2, 0, 4, 0, 3, 4, 4, 2, 3, 3, 3, 1, 4, 3, 3, 4, 2, 3, 3, 1, 4, 2, 0, 3, 0, 1, 0, 4, 1, 2, 2, 1, 3, 2, 1, 2, 1, 0, 1, 3, 0, 3, 1, 3, 1, 1, 1, 3, 0, 1, 0, 3, 2, 1, 0, 3, 3, 2, 0, 4, 4, 1, 1, 4, 3, 1, 3, 3, 3, 3, 4, 0, 0, 2, 3, 2, 0, 0, 1, 0, 1, 3, 0, 1, 3, 3, 1, 0, 3, 2, 2, 4, 3, 0, 4, 3, 3, 3, 1, 4, 1, 1, 3, 2, 4, 1, 0, 1, 0, 0, 2, 3, 4, 1, 2, 4, 0, 1, 3, 3, 4, 0, 0, 1, 3, 0, 2, 2, 0, 3, 2, 4, 4, 3, 2, 4, 2, 1, 1, 1, 0, 4, 4, 4, 0, 0, 4, 0, 1, 3, 2, 1, 2, 4, 2, 2, 4, 1, 2, 4, 3, 2, 4, 3, 4, 2, 3, 4, 1, 3, 3, 0, 3, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 0, 2, 3, 1, 3, 0, 1, 1, 3, 1, 2, 0, 4, 1, 3, 0, 3, 1, 3, 4, 0, 4, 2, 3, 0, 0, 2, 2, 4, 0, 1, 0, 0, 1, 4, 1, 2, 0, 0, 1, 3, 3, 0, 4, 4, 1, 3, 3, 4, 0, 4, 0, 4, 2, 4, 4, 1, 3, 1, 1, 1, 4, 3, 4, 3, 0, 2, 1, 0, 3, 1, 0, 1, 1, 2, 2, 2, 4, 0, 0, 4, 4, 1, 0, 2, 3, 3, 1, 3, 0, 4, 0, 4, 4, 1, 1, 0, 0, 0, 2, 2, 4, 0, 0, 4, 4, 3, 3, 4, 1, 2, 2, 4, 1, 4, 2, 2, 0, 0, 4, 0, 0, 0, 3, 0, 2, 2, 1, 1, 0, 3, 3, 0, 1, 3, 4, 1, 2, 3, 4, 4]
pubkeycol594 = [3, 1, 1, 0, 1, 3, 1, 1, 3, 3, 1, 4, 3, 4, 0, 3, 2, 1, 1, 1, 0, 0, 1, 3, 0, 4, 3, 3, 1, 3, 4, 2, 2, 1, 2, 0, 1, 2, 2, 2, 3, 1, 0, 0, 2, 3, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 3, 2, 1, 1, 2, 1, 3, 4, 2, 2, 2, 1, 4, 3, 1, 1, 1, 1, 3, 1, 4, 1, 1, 3, 0, 3, 2, 1, 4, 1, 4, 3, 2, 2, 0, 3, 0, 4, 2, 2, 4, 3, 0, 3, 3, 4, 3, 1, 2, 4, 4, 2, 3, 4, 3, 1, 3, 1, 0, 2, 0, 3, 4, 0, 3, 3, 3, 4, 2, 3, 1, 2, 3, 1, 0, 3, 3, 2, 3, 2, 1, 2, 3, 4, 1, 0, 3, 1, 0, 4, 2, 0, 4, 3, 4, 1, 1, 4, 4, 0, 4, 3, 1, 2, 3, 0, 0, 3, 2, 1, 2, 1, 1, 2, 4, 3, 4, 2, 3, 2, 0, 4, 2, 3, 0, 0, 1, 2, 0, 3, 3, 4, 2, 3, 4, 4, 3, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 4, 0, 3, 0, 1, 0, 4, 4, 4, 0, 2, 0, 1, 3, 1, 0, 3, 0, 3, 1, 4, 4, 3, 1, 3, 1, 1, 4, 1, 4, 1, 3, 4, 3, 0, 0, 2, 1, 1, 4, 4, 0, 0, 2, 4, 1, 2, 3, 4, 4, 1, 4, 4, 4, 3, 4, 1, 0, 4, 0, 2, 2, 3, 0, 4, 3, 1, 4, 2, 4, 4, 2, 3, 4, 0, 1, 4, 1, 3, 3, 3, 4, 1, 2, 3, 3, 1, 0, 0, 2, 1, 2, 2, 3, 1, 4, 0, 1, 1, 4, 2, 3, 2, 3, 4, 0, 1, 0, 4, 0, 2, 0, 3, 3, 0, 2, 0, 2, 3, 3, 4, 3, 3, 4, 2, 4, 3, 2, 3, 2, 4, 4, 2, 2, 4, 1, 1, 4, 4, 0, 1, 4, 3, 0, 4, 1, 4, 2, 2, 2, 2, 4, 2, 0, 0, 4, 0, 0, 3, 0, 1, 2, 2, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 4, 3, 3, 4, 3, 4, 3, 4, 1, 1, 2, 1, 2, 4, 1, 3, 4, 4, 0, 1, 3, 2, 1, 0, 3, 2, 3, 1, 3, 0, 0, 0, 2, 1, 3, 1, 1, 2, 3, 4, 4, 4, 2, 4, 3, 2, 0, 3, 4, 2, 4, 1, 3, 3, 3, 4, 3, 3, 4, 1, 4, 3, 0, 1, 1, 1, 3, 1, 2, 0, 3, 2, 1, 0, 1, 2, 4, 3, 3, 3, 1, 1, 3, 1, 2, 0, 3, 4, 4, 0, 3, 3, 2, 1, 3, 1, 2, 2, 1, 0, 2, 2, 4, 0, 2, 2, 3, 1, 2, 4, 4, 1, 2, 3, 4, 3, 4, 3, 2, 0, 3, 1, 4, 4, 2, 0]
pubkeycol595 = [4, 1, 1, 4, 4, 3, 4, 2, 4, 0, 0, 3, 3, 4, 1, 2, 1, 4, 1, 3, 2, 3, 4, 1, 0, 1, 2, 2, 0, 3, 1, 4, 1, 1, 3, 2, 4, 1, 2, 0, 0, 2, 0, 0, 3, 4, 0, 1, 0, 1, 1, 1, 3, 0, 4, 0, 1, 3, 4, 0, 0, 1, 2, 2, 4, 0, 3, 2, 1, 4, 1, 3, 4, 2, 4, 0, 0, 2, 1, 4, 1, 1, 2, 0, 4, 4, 3, 3, 0, 3, 2, 4, 3, 1, 4, 4, 2, 1, 0, 0, 0, 0, 4, 3, 0, 0, 4, 4, 1, 4, 4, 4, 0, 0, 1, 4, 0, 1, 0, 3, 2, 4, 0, 3, 3, 2, 3, 0, 1, 3, 2, 0, 1, 4, 2, 2, 4, 1, 1, 3, 0, 2, 3, 0, 4, 2, 4, 2, 1, 3, 4, 0, 0, 4, 0, 3, 1, 4, 2, 4, 0, 3, 2, 1, 3, 1, 1, 2, 2, 0, 1, 1, 0, 3, 3, 2, 3, 4, 0, 1, 4, 2, 1, 2, 0, 4, 3, 2, 4, 1, 1, 2, 0, 2, 2, 3, 0, 0, 3, 0, 1, 4, 4, 3, 3, 4, 1, 0, 0, 3, 1, 2, 4, 1, 4, 4, 4, 1, 3, 0, 3, 3, 4, 1, 2, 2, 0, 4, 2, 3, 3, 2, 4, 1, 2, 1, 4, 2, 4, 2, 4, 4, 3, 3, 0, 3, 1, 3, 1, 0, 1, 1, 4, 4, 2, 2, 3, 2, 1, 2, 4, 0, 1, 4, 0, 2, 1, 3, 4, 3, 1, 0, 1, 4, 3, 0, 4, 1, 4, 4, 2, 2, 0, 4, 1, 0, 4, 2, 3, 1, 1, 3, 0, 0, 3, 4, 1, 4, 0, 1, 4, 4, 3, 2, 0, 1, 2, 0, 3, 1, 1, 1, 4, 2, 0, 1, 3, 3, 1, 0, 0, 2, 0, 4, 2, 3, 2, 4, 3, 0, 0, 0, 2, 3, 1, 1, 1, 4, 4, 0, 2, 3, 1, 3, 0, 3, 0, 0, 4, 1, 2, 4, 0, 1, 1, 3, 3, 0, 4, 1, 3, 1, 2, 0, 4, 4, 1, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 4, 2, 4, 0, 1, 3, 3, 3, 4, 2, 4, 0, 3, 0, 1, 4, 0, 1, 0, 3, 4, 2, 1, 0, 1, 4, 2, 2, 4, 3, 2, 4, 3, 1, 1, 1, 1, 3, 4, 0, 4, 2, 4, 1, 2, 2, 4, 0, 2, 4, 0, 2, 2, 1, 2, 0, 3, 0, 0, 4, 1, 1, 1, 1, 0, 4, 2, 0, 4, 3, 3, 4, 2, 3, 3, 4, 1, 3, 2, 1, 0, 4, 1, 1, 0, 3, 3, 2, 4, 2, 2, 0, 1, 2, 3, 2, 1, 2, 4, 2, 4, 0, 3, 3, 3, 2, 0, 2, 3, 1, 4, 1, 3, 0, 2, 2, 3, 1, 1, 2, 0, 1, 1, 0, 3]
pubkeycol596 = [4, 1, 4, 3, 0, 0, 4, 0, 1, 0, 3, 4, 2, 0, 4, 3, 4, 2, 3, 1, 1, 2, 2, 2, 0, 2, 0, 3, 3, 3, 2, 1, 1, 0, 2, 2, 1, 0, 2, 3, 2, 2, 3, 3, 3, 1, 1, 3, 4, 0, 3, 4, 4, 1, 0, 3, 4, 0, 0, 4, 0, 3, 0, 1, 2, 1, 2, 3, 3, 0, 3, 3, 0, 1, 1, 0, 3, 2, 1, 3, 2, 2, 2, 1, 0, 4, 1, 4, 0, 3, 0, 2, 4, 4, 4, 1, 1, 3, 2, 1, 0, 4, 0, 3, 0, 2, 1, 3, 2, 3, 2, 3, 4, 0, 2, 4, 0, 4, 1, 2, 3, 1, 3, 3, 4, 1, 2, 0, 0, 3, 4, 1, 0, 1, 2, 3, 2, 1, 4, 1, 0, 0, 2, 4, 3, 2, 1, 1, 0, 1, 1, 2, 4, 4, 1, 2, 4, 0, 0, 0, 3, 4, 3, 2, 1, 3, 0, 4, 4, 0, 2, 3, 1, 2, 3, 1, 3, 4, 0, 2, 3, 1, 4, 0, 4, 1, 4, 0, 3, 3, 2, 1, 4, 1, 1, 4, 2, 3, 3, 4, 4, 1, 1, 3, 0, 0, 1, 3, 4, 2, 3, 0, 2, 1, 4, 0, 1, 1, 3, 4, 1, 2, 0, 0, 1, 3, 4, 1, 2, 1, 1, 1, 3, 0, 0, 1, 4, 1, 4, 4, 0, 2, 1, 3, 4, 1, 3, 3, 3, 0, 0, 0, 4, 1, 4, 2, 0, 3, 3, 0, 1, 3, 3, 2, 3, 3, 1, 0, 0, 0, 4, 4, 3, 2, 2, 2, 0, 4, 1, 2, 3, 2, 4, 2, 1, 4, 2, 1, 3, 1, 4, 3, 1, 0, 0, 0, 4, 1, 3, 0, 4, 0, 3, 1, 3, 3, 4, 0, 2, 2, 2, 3, 3, 3, 3, 1, 2, 3, 2, 0, 0, 4, 2, 1, 4, 3, 2, 0, 2, 2, 0, 1, 2, 1, 3, 4, 3, 2, 2, 3, 3, 4, 3, 0, 0, 2, 3, 3, 3, 4, 4, 4, 1, 3, 4, 0, 1, 0, 3, 0, 2, 0, 1, 3, 0, 4, 0, 3, 4, 2, 1, 4, 3, 3, 3, 0, 1, 4, 1, 2, 2, 1, 2, 2, 1, 0, 4, 2, 1, 0, 0, 4, 4, 4, 1, 2, 0, 1, 3, 0, 4, 1, 3, 4, 4, 4, 0, 0, 0, 0, 1, 3, 3, 2, 1, 0, 0, 4, 1, 0, 3, 3, 3, 4, 3, 0, 4, 2, 1, 0, 4, 2, 2, 0, 0, 1, 0, 4, 4, 2, 4, 2, 3, 2, 4, 0, 3, 2, 4, 0, 4, 0, 4, 1, 4, 1, 0, 3, 0, 3, 0, 3, 3, 4, 2, 0, 0, 3, 2, 4, 2, 2, 2, 4, 1, 4, 3, 4, 1, 2, 1, 4, 1, 4, 0, 4, 1, 1, 1, 4, 3, 3, 4, 0, 4, 2, 3, 1, 1, 1, 4, 3, 3, 1, 4]
pubkeycol597 = [3, 0, 1, 0, 1, 1, 4, 1, 3, 3, 3, 0, 1, 0, 1, 3, 2, 2, 4, 2, 3, 2, 1, 3, 4, 2, 1, 2, 2, 2, 0, 3, 1, 3, 2, 0, 1, 2, 4, 1, 4, 2, 4, 0, 2, 2, 1, 3, 2, 4, 2, 4, 1, 4, 3, 4, 2, 2, 2, 4, 2, 4, 3, 4, 1, 1, 0, 2, 2, 0, 4, 3, 3, 2, 1, 3, 3, 4, 2, 1, 2, 3, 2, 4, 2, 0, 0, 2, 3, 4, 2, 0, 1, 4, 4, 0, 4, 3, 4, 2, 2, 0, 2, 4, 2, 1, 2, 0, 3, 1, 0, 0, 4, 1, 1, 0, 3, 3, 1, 2, 1, 1, 3, 3, 4, 3, 3, 4, 3, 2, 1, 2, 2, 3, 4, 1, 3, 1, 3, 0, 4, 2, 1, 4, 2, 4, 3, 0, 1, 0, 2, 0, 3, 0, 2, 3, 3, 2, 0, 2, 4, 4, 2, 0, 3, 1, 1, 2, 2, 0, 4, 4, 1, 2, 4, 1, 1, 0, 0, 4, 3, 2, 1, 2, 4, 3, 1, 0, 4, 1, 1, 2, 1, 1, 2, 4, 3, 0, 4, 3, 2, 1, 0, 2, 0, 2, 1, 4, 1, 4, 0, 0, 0, 4, 2, 3, 3, 0, 0, 4, 2, 0, 3, 1, 1, 2, 1, 2, 4, 0, 2, 4, 3, 2, 0, 4, 0, 1, 3, 2, 2, 3, 1, 4, 0, 0, 0, 4, 1, 2, 0, 0, 2, 3, 1, 4, 3, 0, 2, 0, 3, 0, 2, 3, 1, 2, 4, 2, 4, 1, 4, 0, 4, 0, 4, 3, 2, 0, 2, 0, 3, 1, 2, 2, 4, 2, 3, 0, 3, 4, 2, 0, 0, 2, 0, 3, 2, 0, 2, 3, 1, 1, 4, 1, 2, 2, 0, 1, 2, 3, 0, 3, 4, 3, 0, 1, 3, 0, 4, 0, 2, 2, 1, 2, 1, 2, 1, 4, 2, 2, 0, 3, 3, 0, 1, 0, 4, 2, 3, 4, 1, 4, 1, 4, 4, 0, 0, 2, 2, 4, 4, 1, 4, 3, 1, 2, 2, 4, 4, 1, 1, 4, 3, 2, 2, 0, 1, 4, 2, 3, 0, 4, 0, 3, 2, 3, 0, 4, 4, 3, 4, 3, 3, 0, 2, 0, 3, 2, 3, 2, 2, 3, 1, 2, 2, 1, 1, 3, 3, 4, 1, 2, 4, 0, 2, 0, 0, 3, 2, 3, 4, 0, 0, 4, 0, 0, 1, 0, 0, 3, 3, 4, 4, 3, 2, 3, 2, 1, 0, 1, 0, 1, 3, 4, 0, 0, 4, 3, 2, 3, 4, 3, 1, 4, 4, 4, 4, 0, 3, 0, 2, 4, 2, 0, 1, 4, 3, 3, 0, 3, 0, 1, 0, 3, 0, 0, 3, 0, 3, 3, 2, 0, 3, 3, 1, 0, 4, 3, 0, 2, 1, 4, 0, 4, 1, 2, 4, 0, 1, 0, 2, 2, 0, 4, 1, 2, 1, 1, 0, 3, 4, 3, 4, 1, 2]
pubkeycol598 = [4, 3, 1, 4, 4, 2, 3, 3, 4, 1, 2, 1, 0, 2, 3, 1, 1, 1, 2, 3, 2, 4, 1, 1, 3, 1, 4, 3, 0, 0, 4, 4, 2, 3, 4, 2, 1, 0, 1, 1, 2, 0, 3, 3, 0, 3, 3, 3, 2, 2, 4, 1, 4, 1, 1, 2, 2, 1, 0, 1, 4, 3, 3, 0, 2, 1, 3, 3, 0, 4, 1, 1, 3, 2, 2, 1, 0, 0, 1, 0, 3, 1, 0, 1, 4, 2, 4, 2, 2, 1, 0, 3, 2, 3, 1, 0, 3, 2, 4, 4, 3, 2, 1, 3, 1, 1, 4, 3, 2, 1, 3, 3, 4, 2, 4, 3, 1, 3, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 4, 2, 3, 3, 1, 0, 2, 1, 1, 2, 0, 0, 0, 3, 4, 1, 4, 3, 3, 2, 4, 1, 3, 3, 0, 0, 3, 1, 3, 2, 0, 1, 0, 2, 1, 2, 4, 2, 3, 4, 4, 1, 1, 3, 3, 4, 1, 3, 4, 4, 2, 0, 4, 2, 4, 4, 0, 1, 4, 1, 0, 1, 3, 0, 0, 0, 4, 3, 1, 3, 4, 4, 0, 3, 1, 3, 4, 4, 3, 0, 1, 0, 2, 3, 4, 1, 4, 2, 4, 4, 4, 3, 0, 3, 0, 3, 3, 1, 3, 2, 3, 2, 0, 2, 4, 2, 4, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 4, 3, 0, 0, 4, 1, 3, 3, 1, 1, 2, 0, 3, 2, 0, 3, 4, 2, 2, 1, 1, 3, 1, 3, 3, 2, 1, 3, 3, 3, 1, 3, 4, 2, 3, 3, 0, 1, 0, 2, 0, 1, 3, 3, 3, 1, 3, 3, 3, 1, 0, 0, 2, 4, 0, 2, 2, 3, 3, 2, 2, 1, 2, 3, 3, 0, 4, 4, 2, 0, 2, 1, 0, 0, 3, 1, 3, 3, 0, 2, 1, 3, 1, 0, 2, 3, 1, 1, 1, 4, 0, 0, 3, 1, 0, 0, 3, 3, 4, 2, 1, 4, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 3, 1, 1, 0, 2, 0, 4, 0, 2, 0, 4, 2, 4, 4, 0, 2, 1, 4, 2, 1, 3, 1, 1, 2, 0, 0, 4, 2, 4, 4, 1, 3, 1, 4, 2, 3, 4, 4, 3, 4, 2, 2, 4, 3, 1, 1, 0, 2, 3, 1, 4, 1, 1, 0, 1, 1, 1, 0, 3, 0, 1, 4, 3, 1, 2, 2, 3, 1, 0, 2, 0, 3, 4, 3, 3, 4, 0, 3, 4, 0, 2, 3, 4, 2, 4, 2, 2, 2, 0, 2, 3, 2, 0, 4, 3, 0, 2, 1, 0, 2, 4, 0, 2, 4, 2, 1, 3, 2, 1, 4, 3, 0, 3, 4, 2, 0, 3, 1, 1, 2, 0, 0, 3, 0, 3, 0, 0, 3, 1, 1, 4, 1, 0, 2, 0, 4, 2, 3]
pubkeycol599 = [4, 2, 1, 4, 2, 2, 2, 1, 1, 3, 3, 2, 4, 1, 0, 3, 1, 2, 0, 0, 0, 3, 1, 3, 0, 4, 4, 2, 0, 0, 2, 4, 4, 4, 4, 2, 1, 3, 4, 1, 4, 3, 3, 1, 2, 3, 4, 2, 0, 2, 0, 2, 2, 4, 4, 3, 3, 1, 3, 1, 2, 3, 3, 1, 4, 0, 0, 3, 3, 2, 0, 0, 0, 4, 1, 4, 3, 4, 4, 1, 2, 3, 2, 2, 2, 0, 0, 4, 4, 3, 4, 2, 2, 1, 1, 3, 1, 0, 1, 3, 4, 0, 0, 4, 4, 4, 1, 1, 3, 3, 1, 3, 4, 3, 1, 4, 2, 1, 3, 0, 3, 0, 4, 3, 2, 2, 2, 4, 1, 4, 4, 1, 1, 4, 0, 2, 0, 0, 0, 4, 1, 0, 2, 1, 4, 3, 1, 4, 1, 1, 2, 4, 2, 2, 4, 0, 3, 0, 2, 4, 2, 2, 4, 3, 2, 2, 2, 4, 4, 4, 0, 2, 1, 2, 1, 3, 3, 3, 1, 1, 3, 3, 1, 1, 4, 3, 4, 0, 2, 0, 4, 4, 3, 1, 2, 2, 1, 4, 1, 3, 4, 2, 0, 4, 0, 2, 2, 2, 1, 1, 0, 0, 1, 3, 2, 1, 2, 3, 2, 4, 1, 4, 4, 4, 0, 3, 0, 2, 3, 1, 2, 4, 1, 4, 4, 1, 4, 4, 2, 1, 2, 2, 2, 2, 0, 3, 2, 3, 3, 3, 4, 1, 4, 3, 0, 0, 3, 2, 0, 2, 3, 4, 3, 0, 1, 0, 0, 2, 3, 2, 1, 3, 2, 1, 2, 4, 4, 1, 1, 3, 3, 2, 0, 2, 4, 1, 1, 2, 3, 4, 0, 3, 2, 4, 3, 0, 4, 2, 0, 3, 2, 2, 1, 3, 1, 2, 2, 2, 0, 1, 0, 2, 3, 0, 2, 1, 0, 3, 3, 2, 3, 4, 4, 1, 3, 1, 0, 2, 1, 4, 4, 3, 4, 1, 1, 0, 2, 3, 3, 1, 0, 2, 0, 3, 1, 1, 3, 1, 1, 0, 3, 1, 0, 0, 1, 4, 3, 1, 3, 1, 4, 3, 0, 1, 3, 1, 2, 2, 4, 1, 0, 3, 2, 0, 0, 2, 1, 4, 2, 1, 4, 2, 1, 1, 4, 0, 0, 2, 2, 0, 0, 2, 3, 1, 1, 2, 0, 0, 3, 0, 1, 3, 4, 1, 0, 4, 0, 3, 0, 1, 3, 3, 3, 0, 2, 4, 4, 4, 4, 3, 2, 4, 4, 3, 4, 3, 4, 1, 4, 4, 4, 2, 4, 2, 1, 2, 4, 0, 3, 4, 3, 3, 1, 3, 1, 3, 1, 0, 0, 1, 0, 0, 3, 3, 4, 4, 1, 3, 1, 4, 2, 3, 4, 1, 0, 4, 1, 0, 3, 4, 0, 2, 4, 4, 2, 0, 3, 1, 2, 0, 1, 0, 1, 2, 0, 0, 3, 1, 2, 4, 2, 0, 3, 2, 3, 2, 2, 1, 3, 3, 3, 0, 4, 0, 3]
pubkeycol600 = [0, 4, 4, 2, 3, 3, 0, 4, 4, 1, 4, 4, 1, 3, 0, 2, 1, 0, 1, 4, 3, 4, 1, 4, 3, 0, 3, 1, 3, 4, 4, 3, 1, 4, 1, 1, 4, 3, 3, 2, 2, 1, 3, 3, 3, 0, 4, 4, 2, 0, 2, 0, 1, 4, 1, 4, 2, 4, 3, 0, 4, 0, 2, 4, 3, 2, 2, 0, 0, 2, 1, 4, 2, 2, 1, 1, 0, 0, 1, 4, 4, 4, 1, 3, 4, 2, 4, 2, 1, 0, 2, 2, 4, 0, 4, 3, 4, 4, 3, 0, 3, 4, 4, 4, 4, 4, 0, 3, 2, 3, 1, 0, 2, 1, 4, 4, 2, 0, 0, 2, 0, 1, 4, 0, 3, 0, 1, 0, 3, 0, 4, 0, 1, 4, 1, 0, 3, 0, 0, 2, 3, 2, 4, 2, 3, 1, 3, 1, 3, 4, 0, 1, 0, 3, 1, 0, 0, 4, 3, 1, 4, 4, 3, 3, 1, 3, 0, 1, 2, 4, 2, 3, 0, 1, 4, 0, 2, 0, 3, 4, 4, 2, 0, 0, 1, 1, 4, 3, 3, 3, 1, 4, 0, 3, 2, 0, 4, 3, 1, 2, 2, 3, 2, 2, 3, 4, 0, 2, 1, 0, 3, 1, 1, 2, 3, 4, 4, 3, 2, 3, 4, 4, 1, 2, 3, 3, 1, 3, 1, 0, 0, 0, 2, 3, 4, 2, 1, 4, 0, 2, 4, 4, 0, 4, 1, 4, 3, 0, 0, 3, 2, 3, 3, 0, 3, 3, 3, 1, 0, 0, 2, 4, 2, 4, 2, 0, 1, 1, 2, 4, 3, 4, 2, 3, 1, 1, 3, 4, 2, 3, 0, 3, 1, 2, 2, 1, 0, 1, 2, 0, 3, 4, 1, 2, 2, 4, 4, 0, 4, 0, 2, 4, 3, 3, 4, 4, 0, 2, 1, 3, 4, 3, 2, 0, 1, 2, 4, 1, 1, 2, 0, 2, 3, 1, 3, 2, 1, 1, 0, 0, 4, 2, 3, 2, 1, 0, 4, 3, 2, 4, 0, 2, 0, 0, 0, 1, 1, 3, 4, 2, 0, 2, 0, 1, 0, 4, 4, 3, 0, 0, 1, 1, 3, 2, 3, 1, 3, 2, 1, 2, 4, 3, 2, 4, 1, 4, 2, 1, 4, 4, 0, 2, 1, 0, 4, 2, 0, 2, 0, 4, 0, 1, 1, 0, 1, 3, 4, 0, 3, 2, 2, 1, 2, 4, 2, 0, 4, 2, 0, 4, 1, 1, 3, 1, 1, 2, 3, 1, 4, 4, 2, 3, 1, 0, 3, 2, 2, 3, 0, 2, 0, 2, 4, 2, 3, 2, 0, 1, 3, 1, 4, 4, 0, 3, 1, 2, 1, 0, 2, 0, 3, 4, 2, 1, 0, 0, 1, 4, 2, 2, 0, 4, 2, 2, 1, 4, 4, 1, 3, 3, 1, 2, 4, 2, 3, 0, 2, 3, 3, 4, 0, 2, 4, 2, 0, 1, 0, 3, 2, 0, 4, 3, 0, 2, 0, 1, 4, 1, 3, 0, 4, 2, 1, 2, 0]
pubkeycol601 = [2, 3, 1, 1, 4, 0, 2, 2, 0, 0, 3, 0, 4, 4, 1, 3, 3, 2, 0, 4, 3, 3, 4, 1, 3, 2, 0, 0, 4, 0, 4, 2, 4, 1, 4, 2, 4, 4, 2, 2, 4, 4, 1, 2, 1, 2, 2, 4, 3, 2, 1, 4, 3, 2, 0, 1, 4, 1, 2, 4, 4, 4, 2, 0, 4, 4, 4, 2, 2, 0, 1, 2, 2, 2, 4, 4, 0, 1, 2, 3, 2, 2, 0, 3, 2, 4, 2, 2, 1, 1, 0, 4, 1, 4, 1, 4, 3, 2, 2, 2, 3, 0, 3, 3, 2, 3, 2, 1, 2, 3, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 3, 4, 2, 0, 3, 2, 0, 0, 3, 0, 2, 4, 4, 2, 3, 0, 4, 3, 1, 1, 1, 1, 0, 0, 4, 2, 4, 1, 4, 0, 2, 2, 0, 1, 4, 2, 3, 4, 0, 0, 1, 3, 3, 3, 0, 1, 1, 2, 0, 1, 3, 4, 3, 4, 0, 3, 3, 4, 3, 2, 0, 1, 3, 1, 4, 4, 2, 1, 1, 2, 0, 1, 3, 1, 4, 0, 0, 2, 2, 1, 1, 3, 1, 0, 4, 2, 2, 4, 4, 2, 0, 1, 1, 0, 0, 3, 4, 1, 2, 0, 1, 4, 4, 4, 0, 3, 3, 1, 0, 0, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 4, 4, 3, 0, 2, 1, 1, 1, 4, 1, 0, 3, 3, 2, 4, 2, 3, 0, 4, 2, 0, 3, 1, 4, 2, 2, 2, 1, 0, 2, 1, 4, 3, 1, 1, 4, 3, 3, 3, 3, 3, 3, 1, 2, 0, 4, 3, 0, 0, 4, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 3, 3, 1, 3, 3, 3, 4, 2, 0, 0, 0, 0, 2, 2, 0, 4, 0, 2, 2, 0, 1, 2, 1, 4, 4, 2, 0, 3, 1, 0, 1, 4, 4, 0, 4, 2, 0, 2, 0, 1, 2, 3, 4, 0, 3, 4, 4, 0, 2, 0, 4, 2, 1, 3, 1, 3, 2, 3, 1, 4, 0, 4, 1, 4, 4, 0, 0, 1, 2, 1, 1, 0, 4, 3, 0, 0, 1, 3, 3, 2, 0, 4, 4, 0, 2, 3, 1, 3, 2, 3, 0, 0, 0, 0, 3, 0, 1, 0, 0, 2, 4, 0, 0, 4, 3, 3, 2, 3, 0, 4, 1, 4, 1, 1, 0, 1, 1, 1, 1, 2, 2, 3, 2, 3, 3, 0, 2, 1, 4, 3, 3, 4, 2, 1, 2, 0, 3, 3, 0, 4, 4, 2, 2, 0, 0, 3, 4, 1, 1, 2, 2, 3, 3, 4, 0, 0, 1, 2, 2, 2, 3, 2, 2, 1, 1, 2, 4, 3, 3, 2, 3, 3, 0, 1, 3, 1, 1, 2, 1, 4, 4, 4, 1, 0, 2, 4, 1, 2, 4, 2, 4, 1, 4, 2, 4, 2, 4, 3, 4, 2, 3, 2, 4, 3]
pubkeycol602 = [2, 0, 0, 2, 3, 2, 4, 0, 0, 2, 1, 4, 4, 4, 3, 4, 0, 3, 3, 4, 2, 3, 2, 1, 2, 4, 4, 2, 1, 1, 0, 0, 2, 4, 0, 2, 2, 3, 3, 0, 2, 2, 0, 4, 4, 0, 0, 2, 2, 3, 3, 4, 4, 4, 0, 0, 0, 3, 3, 2, 1, 2, 3, 1, 3, 1, 3, 0, 0, 0, 2, 2, 2, 3, 3, 2, 1, 0, 2, 2, 4, 3, 1, 4, 4, 4, 4, 1, 4, 1, 0, 3, 0, 2, 4, 3, 2, 0, 2, 1, 4, 4, 1, 4, 1, 3, 0, 0, 0, 0, 1, 3, 2, 3, 3, 1, 1, 1, 1, 2, 2, 4, 4, 1, 0, 3, 4, 1, 4, 0, 2, 0, 4, 2, 3, 1, 1, 2, 0, 3, 0, 2, 4, 1, 1, 0, 0, 1, 3, 0, 3, 4, 4, 0, 0, 4, 1, 2, 1, 0, 3, 2, 4, 3, 2, 1, 1, 0, 2, 2, 1, 4, 3, 1, 4, 2, 0, 4, 0, 2, 1, 1, 4, 3, 1, 1, 1, 1, 0, 2, 4, 4, 1, 1, 1, 4, 2, 3, 2, 4, 2, 1, 2, 3, 4, 2, 3, 4, 2, 4, 4, 2, 1, 2, 4, 1, 2, 2, 3, 0, 1, 3, 0, 2, 2, 3, 4, 2, 1, 4, 1, 3, 4, 3, 3, 4, 3, 4, 4, 4, 0, 4, 0, 4, 4, 2, 2, 0, 1, 3, 3, 1, 2, 2, 1, 0, 4, 2, 0, 0, 3, 2, 2, 1, 3, 4, 3, 1, 4, 0, 2, 2, 0, 0, 4, 4, 2, 0, 3, 2, 4, 2, 1, 0, 3, 4, 0, 3, 3, 3, 4, 0, 3, 3, 3, 2, 3, 3, 4, 0, 4, 0, 0, 3, 0, 0, 2, 2, 4, 0, 4, 4, 4, 1, 0, 2, 3, 2, 0, 2, 2, 0, 3, 3, 3, 1, 1, 2, 0, 4, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 4, 1, 1, 1, 1, 1, 0, 1, 1, 0, 4, 0, 0, 0, 4, 3, 2, 3, 2, 4, 2, 4, 0, 1, 0, 0, 3, 2, 2, 3, 1, 3, 1, 2, 1, 0, 2, 4, 1, 3, 3, 3, 2, 4, 0, 4, 3, 1, 0, 1, 2, 2, 0, 3, 1, 3, 4, 2, 2, 4, 3, 0, 1, 1, 3, 3, 2, 3, 1, 0, 2, 0, 0, 3, 4, 0, 3, 3, 1, 0, 0, 0, 2, 1, 2, 4, 4, 4, 1, 0, 1, 0, 1, 1, 2, 0, 3, 1, 0, 3, 4, 2, 0, 0, 2, 4, 4, 2, 1, 3, 3, 0, 1, 4, 3, 1, 2, 2, 1, 4, 1, 2, 3, 2, 0, 1, 1, 1, 2, 3, 3, 1, 1, 4, 3, 3, 1, 2, 2, 1, 2, 4, 4, 0, 4, 3, 3, 2, 0, 4, 4, 2, 1, 4, 0, 4, 4, 3, 4, 3, 0, 0, 4]
pubkeycol603 = [2, 0, 2, 2, 0, 0, 2, 1, 3, 4, 1, 4, 0, 4, 3, 4, 0, 3, 4, 3, 1, 1, 0, 1, 4, 3, 0, 4, 1, 2, 0, 4, 0, 4, 0, 2, 4, 0, 4, 4, 4, 3, 0, 4, 3, 0, 0, 1, 2, 2, 2, 4, 1, 1, 3, 3, 2, 4, 4, 3, 0, 3, 0, 3, 3, 4, 3, 2, 0, 4, 1, 0, 1, 3, 4, 3, 0, 2, 0, 3, 4, 0, 2, 3, 1, 1, 1, 3, 0, 0, 2, 4, 3, 3, 2, 0, 1, 3, 1, 0, 0, 3, 0, 0, 3, 0, 2, 0, 3, 4, 2, 1, 1, 4, 0, 4, 4, 3, 2, 0, 1, 4, 3, 1, 1, 0, 1, 2, 2, 1, 0, 2, 4, 3, 4, 3, 1, 1, 1, 1, 3, 3, 0, 0, 1, 0, 3, 1, 1, 0, 3, 3, 1, 3, 2, 1, 4, 2, 3, 0, 1, 2, 3, 0, 1, 3, 2, 3, 2, 1, 2, 0, 1, 4, 1, 4, 1, 2, 1, 4, 2, 2, 2, 0, 3, 4, 2, 3, 3, 1, 3, 0, 0, 2, 3, 3, 0, 3, 4, 1, 2, 3, 0, 2, 4, 4, 0, 0, 4, 3, 1, 1, 2, 3, 2, 3, 4, 0, 3, 4, 4, 1, 3, 1, 1, 1, 1, 1, 3, 4, 4, 3, 0, 2, 4, 0, 0, 4, 4, 2, 0, 4, 4, 2, 4, 3, 0, 1, 1, 4, 0, 2, 2, 3, 1, 3, 0, 4, 0, 3, 2, 1, 1, 4, 0, 3, 2, 0, 1, 0, 4, 3, 3, 1, 3, 3, 4, 1, 4, 0, 2, 3, 0, 3, 0, 0, 3, 1, 2, 2, 2, 2, 0, 4, 4, 4, 3, 2, 3, 2, 2, 1, 0, 0, 2, 3, 2, 4, 0, 2, 2, 4, 0, 3, 4, 4, 1, 0, 4, 4, 4, 1, 2, 1, 0, 2, 2, 4, 4, 0, 4, 2, 1, 4, 2, 0, 1, 1, 1, 3, 1, 4, 2, 3, 1, 1, 3, 2, 2, 3, 2, 3, 1, 2, 1, 4, 0, 0, 3, 0, 2, 0, 2, 2, 3, 4, 1, 3, 3, 1, 3, 2, 1, 0, 3, 4, 2, 2, 1, 3, 0, 3, 3, 1, 0, 4, 1, 3, 3, 3, 2, 3, 0, 1, 3, 3, 4, 4, 0, 0, 0, 0, 2, 3, 1, 3, 2, 3, 1, 3, 0, 0, 3, 4, 1, 4, 0, 2, 1, 1, 2, 3, 1, 2, 1, 0, 0, 1, 2, 0, 3, 3, 4, 0, 4, 0, 3, 2, 2, 2, 3, 1, 0, 2, 0, 0, 1, 2, 2, 3, 0, 1, 0, 2, 2, 3, 1, 3, 2, 4, 1, 2, 3, 2, 4, 2, 2, 0, 4, 1, 0, 4, 0, 2, 2, 2, 3, 3, 4, 2, 0, 0, 2, 4, 1, 4, 3, 2, 4, 3, 2, 4, 2, 2, 0, 1, 3, 4, 3, 2, 0, 2, 2, 2, 1]
pubkeycol604 = [4, 3, 2, 1, 1, 0, 0, 4, 2, 2, 4, 4, 4, 2, 4, 4, 4, 4, 1, 1, 1, 2, 1, 4, 0, 4, 0, 3, 4, 3, 3, 3, 4, 3, 2, 4, 4, 4, 4, 1, 3, 0, 4, 0, 4, 4, 0, 0, 3, 1, 2, 0, 1, 4, 4, 3, 3, 4, 3, 2, 4, 2, 1, 1, 0, 4, 1, 2, 3, 1, 3, 0, 4, 3, 3, 0, 4, 2, 4, 0, 3, 4, 2, 4, 2, 4, 2, 1, 4, 4, 2, 2, 4, 2, 4, 0, 2, 3, 2, 4, 2, 3, 4, 4, 1, 2, 4, 1, 2, 1, 3, 4, 3, 2, 4, 1, 3, 4, 1, 1, 3, 1, 4, 4, 2, 4, 0, 1, 2, 3, 0, 1, 0, 4, 2, 1, 2, 2, 4, 2, 4, 3, 0, 2, 4, 0, 1, 3, 3, 3, 0, 1, 0, 3, 4, 1, 2, 1, 4, 3, 4, 1, 2, 0, 0, 2, 3, 2, 3, 4, 0, 2, 1, 1, 2, 2, 4, 1, 0, 0, 1, 1, 4, 2, 2, 0, 1, 4, 1, 3, 0, 2, 0, 3, 1, 3, 4, 0, 1, 2, 1, 0, 1, 3, 2, 4, 0, 2, 3, 1, 3, 0, 4, 4, 1, 4, 2, 1, 1, 1, 3, 4, 2, 4, 2, 1, 1, 0, 3, 3, 2, 1, 1, 1, 0, 2, 3, 3, 1, 4, 0, 0, 2, 0, 3, 1, 0, 3, 1, 3, 4, 0, 3, 0, 3, 3, 0, 2, 1, 1, 4, 1, 4, 2, 1, 2, 4, 1, 2, 0, 3, 4, 0, 1, 3, 3, 4, 3, 4, 0, 1, 2, 0, 1, 3, 4, 2, 3, 4, 0, 1, 1, 0, 0, 4, 3, 0, 0, 3, 3, 2, 0, 1, 3, 3, 1, 3, 2, 0, 2, 1, 0, 4, 2, 0, 2, 3, 2, 2, 2, 0, 3, 2, 0, 1, 4, 2, 0, 2, 1, 4, 2, 1, 3, 1, 3, 3, 1, 4, 4, 0, 1, 3, 1, 2, 4, 1, 4, 3, 3, 1, 2, 2, 3, 3, 2, 4, 4, 2, 3, 3, 3, 0, 2, 0, 3, 1, 0, 0, 3, 4, 3, 1, 4, 4, 1, 1, 3, 1, 0, 4, 0, 1, 0, 1, 0, 2, 2, 4, 0, 0, 0, 0, 1, 2, 0, 3, 4, 1, 3, 2, 0, 4, 0, 3, 3, 4, 2, 0, 0, 3, 0, 4, 1, 3, 0, 2, 1, 4, 3, 1, 4, 2, 2, 1, 3, 2, 0, 2, 3, 1, 3, 2, 2, 2, 1, 3, 1, 1, 3, 4, 0, 1, 2, 3, 4, 4, 4, 4, 4, 2, 0, 3, 1, 3, 4, 3, 1, 2, 4, 4, 2, 1, 2, 2, 1, 4, 3, 2, 3, 0, 3, 2, 3, 1, 2, 1, 4, 1, 0, 4, 4, 0, 1, 2, 2, 1, 1, 3, 4, 1, 0, 3, 2, 4, 4, 3, 2, 1, 3, 3, 3, 4, 0, 1]
pubkeycol605 = [4, 2, 4, 1, 3, 2, 4, 4, 1, 4, 2, 2, 1, 0, 0, 3, 3, 1, 1, 4, 4, 2, 3, 1, 4, 3, 3, 0, 1, 0, 0, 4, 3, 0, 3, 3, 3, 2, 1, 2, 4, 2, 4, 3, 1, 1, 3, 4, 3, 3, 1, 4, 4, 3, 4, 1, 2, 1, 2, 3, 0, 1, 2, 4, 0, 2, 0, 1, 2, 1, 1, 4, 0, 3, 2, 4, 0, 4, 1, 2, 4, 3, 3, 2, 2, 3, 1, 3, 0, 0, 2, 4, 1, 0, 1, 2, 1, 2, 2, 3, 1, 4, 0, 1, 4, 3, 0, 0, 4, 2, 3, 4, 2, 0, 3, 4, 1, 1, 0, 3, 4, 1, 4, 1, 0, 2, 1, 0, 1, 1, 3, 1, 3, 3, 4, 0, 0, 3, 2, 0, 0, 1, 1, 0, 0, 1, 4, 0, 4, 3, 1, 1, 3, 1, 3, 0, 2, 0, 1, 3, 1, 2, 2, 2, 1, 2, 3, 2, 3, 4, 2, 4, 4, 4, 4, 2, 0, 3, 3, 1, 3, 4, 1, 4, 2, 3, 2, 1, 3, 1, 4, 3, 2, 1, 1, 0, 2, 1, 1, 1, 3, 0, 1, 1, 4, 4, 1, 0, 2, 1, 3, 4, 0, 4, 1, 3, 0, 4, 0, 0, 4, 4, 0, 2, 0, 2, 0, 3, 4, 2, 0, 2, 0, 4, 1, 2, 2, 1, 4, 1, 1, 3, 0, 1, 3, 1, 4, 1, 2, 2, 0, 4, 0, 4, 0, 3, 2, 2, 3, 4, 4, 4, 3, 4, 3, 3, 3, 0, 1, 3, 3, 0, 1, 4, 1, 4, 2, 3, 0, 2, 4, 3, 1, 0, 1, 1, 1, 4, 3, 0, 2, 0, 0, 3, 3, 3, 4, 2, 2, 4, 0, 2, 1, 0, 2, 2, 1, 4, 1, 4, 2, 4, 0, 1, 0, 2, 4, 0, 4, 1, 0, 3, 2, 2, 1, 2, 2, 2, 2, 3, 3, 4, 3, 1, 0, 0, 2, 0, 4, 1, 2, 1, 3, 3, 3, 3, 3, 2, 4, 3, 1, 2, 4, 4, 0, 1, 3, 4, 2, 2, 3, 3, 1, 1, 4, 0, 0, 4, 2, 4, 2, 2, 2, 0, 3, 0, 3, 2, 4, 0, 3, 2, 3, 4, 2, 4, 0, 2, 1, 3, 2, 2, 0, 3, 0, 4, 0, 0, 2, 2, 3, 1, 4, 4, 4, 3, 4, 4, 0, 0, 1, 4, 4, 2, 0, 2, 4, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 3, 4, 2, 0, 0, 1, 4, 1, 1, 4, 0, 0, 3, 2, 3, 2, 1, 4, 1, 2, 3, 4, 0, 2, 3, 2, 2, 4, 0, 3, 0, 2, 3, 1, 1, 2, 0, 4, 3, 4, 3, 0, 0, 0, 1, 3, 2, 2, 3, 2, 4, 1, 2, 3, 0, 0, 2, 3, 2, 4, 2, 0, 4, 2, 1, 3, 4, 3, 2, 3, 1, 4, 3, 2, 4, 1, 4]
pubkeycol606 = [3, 0, 4, 2, 1, 0, 2, 2, 0, 3, 3, 4, 3, 3, 2, 4, 2, 3, 3, 1, 3, 0, 2, 0, 1, 2, 3, 3, 4, 3, 0, 0, 1, 1, 3, 2, 3, 1, 3, 3, 1, 4, 0, 4, 4, 0, 0, 3, 2, 0, 2, 0, 4, 4, 4, 0, 1, 1, 3, 4, 3, 4, 3, 0, 1, 3, 2, 1, 0, 3, 3, 4, 1, 4, 4, 2, 3, 4, 2, 4, 3, 1, 3, 1, 4, 1, 0, 4, 4, 0, 4, 2, 4, 3, 2, 1, 3, 3, 1, 2, 4, 1, 2, 3, 0, 1, 2, 3, 3, 2, 2, 0, 0, 4, 0, 3, 0, 2, 0, 3, 0, 0, 0, 0, 0, 3, 4, 3, 1, 0, 2, 1, 1, 3, 3, 3, 2, 3, 4, 0, 3, 1, 3, 0, 0, 0, 4, 2, 0, 0, 0, 1, 3, 0, 4, 4, 1, 0, 0, 0, 1, 2, 3, 2, 4, 4, 4, 0, 1, 1, 2, 0, 3, 4, 4, 4, 4, 4, 0, 4, 4, 1, 4, 4, 4, 1, 3, 0, 4, 1, 0, 2, 1, 1, 4, 1, 1, 4, 4, 4, 3, 2, 4, 0, 4, 1, 1, 1, 0, 2, 3, 2, 4, 1, 0, 1, 2, 0, 4, 1, 3, 2, 0, 3, 2, 3, 3, 0, 4, 1, 4, 4, 2, 3, 0, 0, 3, 0, 2, 4, 0, 1, 0, 0, 3, 2, 3, 3, 2, 1, 3, 4, 0, 2, 0, 0, 4, 1, 0, 4, 4, 3, 2, 0, 0, 4, 1, 3, 3, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 4, 3, 1, 2, 3, 0, 0, 3, 1, 0, 2, 0, 3, 2, 0, 4, 3, 0, 0, 1, 3, 4, 3, 4, 1, 0, 2, 4, 0, 4, 2, 2, 3, 1, 2, 2, 1, 3, 4, 3, 4, 4, 2, 0, 1, 2, 4, 1, 3, 1, 1, 2, 1, 3, 3, 4, 3, 4, 0, 1, 1, 0, 2, 2, 4, 3, 3, 4, 0, 2, 1, 3, 2, 0, 1, 0, 4, 0, 0, 3, 2, 1, 4, 2, 4, 4, 1, 2, 3, 2, 0, 1, 1, 4, 1, 0, 0, 0, 4, 2, 1, 0, 4, 3, 3, 3, 1, 4, 0, 2, 2, 3, 0, 0, 4, 3, 2, 2, 3, 4, 1, 2, 2, 3, 1, 3, 1, 2, 1, 0, 4, 4, 0, 3, 3, 3, 2, 4, 1, 2, 0, 4, 3, 4, 2, 3, 4, 0, 2, 4, 0, 3, 3, 4, 0, 3, 4, 3, 2, 2, 1, 2, 2, 2, 4, 3, 2, 4, 0, 1, 0, 2, 0, 0, 2, 1, 3, 2, 4, 4, 2, 1, 0, 1, 1, 3, 3, 4, 2, 1, 4, 1, 2, 3, 2, 0, 3, 3, 3, 2, 0, 4, 0, 1, 0, 3, 3, 3, 4, 0, 3, 0, 2, 2, 0, 2, 0, 3, 4, 2, 4, 3, 0, 0, 4, 0]
pubkeycol607 = [2, 4, 2, 1, 2, 3, 0, 2, 3, 4, 2, 0, 2, 0, 2, 3, 2, 4, 2, 1, 1, 1, 4, 1, 2, 4, 2, 2, 1, 3, 3, 4, 2, 0, 2, 2, 0, 1, 2, 1, 3, 4, 0, 0, 2, 1, 0, 2, 2, 4, 3, 3, 1, 1, 0, 3, 3, 3, 0, 3, 0, 3, 0, 4, 3, 1, 2, 2, 2, 0, 0, 3, 2, 2, 1, 2, 3, 4, 0, 0, 4, 3, 3, 3, 2, 3, 4, 4, 3, 4, 2, 4, 2, 3, 2, 4, 4, 4, 4, 0, 2, 4, 1, 0, 4, 1, 3, 2, 4, 0, 2, 2, 3, 3, 2, 0, 1, 3, 2, 4, 0, 0, 3, 3, 1, 1, 2, 3, 0, 3, 0, 4, 2, 3, 1, 2, 4, 2, 1, 4, 4, 3, 4, 3, 2, 1, 2, 1, 1, 4, 3, 1, 2, 2, 4, 3, 1, 0, 3, 0, 4, 4, 1, 0, 4, 4, 3, 2, 2, 0, 0, 3, 1, 2, 3, 1, 1, 1, 0, 2, 3, 0, 4, 4, 1, 3, 2, 3, 0, 1, 1, 1, 0, 3, 0, 1, 0, 2, 0, 1, 3, 0, 0, 1, 4, 4, 4, 2, 0, 2, 0, 0, 3, 3, 0, 2, 2, 3, 3, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 3, 4, 0, 3, 1, 1, 3, 2, 4, 1, 4, 4, 2, 0, 3, 1, 4, 1, 1, 0, 1, 3, 4, 2, 3, 3, 0, 1, 3, 3, 0, 4, 1, 1, 4, 4, 3, 1, 4, 4, 1, 1, 0, 3, 4, 1, 1, 3, 0, 3, 0, 1, 1, 4, 0, 1, 1, 3, 2, 0, 2, 3, 0, 2, 0, 3, 0, 3, 3, 0, 2, 4, 0, 0, 4, 1, 2, 4, 1, 3, 3, 4, 3, 2, 1, 1, 2, 3, 0, 1, 3, 2, 0, 4, 0, 3, 3, 4, 1, 4, 1, 1, 4, 0, 3, 2, 3, 4, 1, 2, 3, 2, 4, 4, 1, 3, 2, 3, 4, 4, 2, 1, 4, 3, 3, 2, 1, 4, 0, 1, 0, 0, 4, 2, 0, 2, 1, 3, 0, 3, 1, 3, 2, 3, 1, 3, 1, 2, 3, 2, 0, 4, 2, 0, 4, 1, 0, 2, 3, 0, 1, 3, 1, 4, 1, 2, 3, 1, 4, 3, 0, 2, 4, 1, 0, 4, 0, 1, 3, 4, 4, 2, 3, 4, 4, 0, 3, 0, 1, 2, 4, 0, 1, 0, 1, 4, 1, 1, 0, 2, 1, 4, 3, 1, 0, 0, 3, 2, 3, 4, 1, 2, 3, 1, 2, 4, 2, 2, 0, 2, 0, 4, 0, 4, 4, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 4, 0, 0, 4, 2, 0, 4, 2, 2, 2, 1, 1, 2, 1, 0, 1, 3, 4, 4, 4, 3, 3, 2, 4, 0, 1, 3, 3, 2, 1, 1, 0, 3, 1, 4, 0, 2]
pubkeycol608 = [3, 0, 3, 0, 3, 4, 1, 0, 4, 4, 3, 2, 4, 4, 2, 4, 0, 0, 0, 1, 3, 0, 0, 3, 2, 0, 0, 1, 2, 2, 2, 3, 1, 2, 4, 1, 4, 3, 3, 1, 1, 2, 0, 1, 0, 4, 1, 2, 2, 1, 0, 4, 2, 2, 2, 2, 3, 3, 4, 4, 0, 4, 4, 1, 3, 1, 3, 2, 3, 1, 4, 0, 0, 3, 4, 1, 0, 0, 0, 1, 4, 3, 3, 2, 2, 0, 2, 4, 3, 4, 2, 4, 1, 2, 3, 3, 3, 3, 4, 3, 4, 3, 3, 2, 1, 4, 3, 4, 2, 3, 4, 0, 2, 1, 4, 2, 4, 0, 4, 1, 2, 0, 0, 4, 0, 3, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 4, 4, 1, 3, 2, 1, 3, 1, 4, 1, 3, 4, 1, 3, 3, 2, 1, 1, 2, 1, 4, 1, 0, 3, 2, 0, 3, 4, 3, 3, 2, 2, 0, 4, 3, 0, 4, 2, 0, 3, 0, 4, 3, 2, 4, 3, 2, 1, 0, 4, 0, 0, 2, 1, 0, 4, 3, 3, 3, 0, 3, 1, 3, 3, 2, 0, 2, 0, 0, 4, 4, 3, 3, 2, 0, 4, 2, 3, 4, 2, 3, 3, 3, 0, 3, 0, 2, 4, 2, 3, 2, 0, 1, 3, 3, 0, 0, 2, 2, 1, 0, 1, 3, 2, 0, 2, 3, 0, 4, 1, 1, 2, 4, 3, 2, 1, 3, 2, 0, 4, 3, 2, 2, 4, 3, 2, 0, 1, 4, 4, 1, 1, 4, 2, 4, 4, 1, 0, 3, 4, 2, 1, 0, 1, 0, 0, 4, 2, 1, 1, 1, 0, 2, 1, 4, 1, 3, 4, 2, 4, 4, 3, 3, 3, 2, 0, 1, 4, 0, 1, 0, 1, 4, 0, 0, 2, 3, 4, 1, 0, 4, 3, 3, 4, 0, 2, 4, 2, 4, 4, 3, 4, 0, 0, 2, 0, 3, 0, 3, 0, 3, 2, 4, 3, 0, 4, 1, 0, 2, 1, 2, 0, 3, 2, 4, 3, 0, 2, 1, 0, 3, 3, 0, 2, 4, 2, 1, 0, 2, 2, 4, 1, 1, 1, 3, 0, 1, 2, 4, 3, 3, 3, 0, 1, 1, 4, 3, 3, 2, 2, 0, 3, 0, 3, 2, 2, 1, 3, 1, 4, 4, 1, 0, 3, 4, 1, 3, 0, 1, 0, 4, 3, 2, 4, 2, 2, 0, 3, 0, 1, 3, 1, 4, 4, 0, 1, 1, 3, 3, 1, 4, 2, 4, 0, 4, 3, 1, 1, 3, 1, 1, 0, 1, 1, 4, 0, 1, 4, 1, 0, 0, 4, 4, 2, 2, 0, 3, 0, 1, 0, 0, 3, 4, 1, 4, 3, 1, 4, 1, 0, 3, 0, 3, 0, 4, 4, 4, 4, 2, 2, 2, 3, 0, 1, 4, 4, 2, 2, 4, 2, 3, 0, 0, 0, 1, 3, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1]
pubkeycol609 = [1, 0, 2, 2, 3, 1, 0, 3, 0, 4, 2, 1, 4, 1, 2, 0, 2, 3, 1, 2, 3, 0, 1, 2, 0, 1, 4, 4, 0, 4, 2, 2, 1, 3, 1, 2, 0, 3, 0, 4, 3, 1, 1, 1, 2, 3, 1, 2, 3, 2, 2, 0, 2, 2, 1, 0, 3, 1, 3, 3, 4, 4, 1, 1, 3, 4, 2, 4, 4, 2, 3, 4, 0, 0, 2, 2, 3, 0, 0, 0, 2, 3, 1, 2, 0, 2, 2, 2, 1, 4, 2, 4, 4, 2, 1, 1, 1, 2, 3, 0, 3, 1, 3, 2, 2, 3, 1, 2, 1, 4, 1, 2, 0, 1, 0, 3, 1, 2, 2, 3, 0, 3, 4, 2, 0, 3, 0, 4, 0, 1, 1, 1, 0, 0, 0, 1, 2, 4, 3, 1, 4, 0, 0, 2, 0, 2, 1, 4, 1, 1, 2, 4, 0, 4, 1, 0, 1, 2, 4, 3, 2, 3, 2, 4, 2, 1, 0, 0, 2, 4, 2, 0, 2, 4, 3, 3, 4, 4, 3, 0, 2, 4, 1, 3, 1, 0, 4, 3, 2, 0, 4, 3, 4, 3, 3, 4, 1, 3, 4, 4, 3, 2, 1, 3, 2, 4, 3, 1, 4, 1, 3, 3, 1, 0, 3, 3, 2, 2, 0, 0, 0, 2, 1, 2, 3, 1, 1, 0, 4, 3, 1, 0, 4, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 3, 3, 4, 2, 3, 3, 3, 2, 4, 4, 3, 0, 4, 0, 1, 3, 2, 2, 2, 1, 3, 3, 1, 1, 1, 3, 1, 4, 1, 1, 4, 3, 3, 2, 2, 4, 3, 0, 0, 2, 1, 0, 4, 2, 0, 2, 3, 3, 2, 1, 1, 0, 1, 1, 3, 1, 2, 3, 3, 3, 3, 2, 2, 2, 1, 2, 1, 4, 4, 1, 1, 2, 4, 2, 3, 0, 2, 2, 3, 2, 4, 0, 3, 0, 1, 2, 0, 3, 3, 2, 4, 4, 3, 1, 1, 0, 0, 3, 0, 4, 2, 3, 0, 3, 2, 0, 0, 0, 0, 1, 3, 0, 3, 2, 0, 0, 0, 1, 2, 4, 1, 1, 1, 0, 0, 3, 3, 2, 1, 3, 1, 2, 1, 3, 2, 4, 1, 1, 2, 2, 3, 4, 3, 3, 3, 0, 4, 0, 4, 2, 2, 1, 0, 2, 2, 1, 0, 4, 1, 1, 2, 4, 0, 4, 2, 1, 3, 4, 1, 1, 3, 1, 0, 4, 0, 0, 3, 1, 3, 1, 2, 3, 3, 2, 3, 2, 0, 1, 4, 3, 0, 3, 1, 0, 0, 3, 0, 0, 3, 2, 4, 3, 3, 3, 4, 2, 4, 2, 0, 0, 4, 2, 4, 2, 0, 4, 3, 0, 1, 2, 1, 3, 1, 4, 3, 1, 3, 3, 3, 4, 2, 0, 2, 0, 2, 1, 0, 1, 1, 3, 4, 0, 1, 1, 4, 1, 2, 4, 1, 1, 1, 0, 2, 0, 3]
pubkeycol610 = [3, 3, 1, 0, 1, 1, 4, 0, 2, 3, 2, 1, 0, 4, 3, 2, 1, 3, 2, 3, 4, 1, 2, 1, 0, 2, 0, 0, 1, 0, 4, 2, 4, 2, 2, 2, 1, 3, 0, 4, 1, 4, 1, 1, 4, 2, 1, 0, 2, 1, 3, 1, 1, 3, 3, 4, 1, 0, 2, 3, 2, 4, 0, 0, 3, 3, 3, 0, 4, 0, 1, 2, 1, 1, 2, 2, 4, 4, 2, 0, 3, 1, 1, 4, 3, 1, 3, 3, 3, 0, 1, 1, 1, 0, 0, 2, 4, 0, 2, 2, 0, 2, 1, 3, 3, 0, 2, 4, 2, 4, 2, 0, 0, 1, 4, 1, 1, 0, 1, 3, 0, 1, 4, 4, 1, 0, 3, 4, 3, 1, 0, 0, 0, 0, 3, 3, 4, 3, 2, 4, 2, 1, 2, 2, 0, 2, 1, 3, 0, 2, 3, 3, 4, 0, 2, 4, 2, 3, 2, 2, 1, 3, 2, 0, 4, 2, 1, 0, 2, 3, 4, 1, 1, 4, 4, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 3, 1, 3, 1, 1, 1, 2, 4, 1, 2, 0, 2, 1, 2, 2, 4, 2, 2, 1, 0, 2, 2, 4, 3, 3, 0, 1, 2, 0, 1, 2, 1, 1, 3, 1, 4, 1, 3, 4, 0, 2, 4, 3, 0, 4, 2, 4, 0, 1, 4, 2, 4, 2, 2, 3, 4, 2, 0, 2, 3, 2, 0, 1, 1, 0, 2, 3, 1, 4, 0, 2, 3, 2, 0, 0, 2, 2, 4, 4, 3, 4, 1, 2, 2, 0, 3, 0, 4, 2, 1, 0, 3, 2, 4, 0, 0, 0, 1, 4, 3, 2, 2, 4, 0, 4, 0, 0, 3, 4, 1, 3, 4, 3, 3, 2, 2, 4, 0, 4, 4, 1, 1, 4, 0, 4, 0, 3, 3, 2, 4, 2, 1, 2, 3, 2, 1, 0, 0, 0, 1, 3, 0, 0, 4, 4, 2, 3, 3, 4, 4, 4, 1, 1, 1, 3, 1, 2, 0, 2, 1, 4, 3, 3, 3, 2, 2, 3, 2, 2, 4, 3, 0, 1, 2, 2, 1, 4, 1, 3, 1, 0, 2, 0, 2, 3, 4, 4, 1, 0, 3, 2, 0, 2, 3, 1, 4, 0, 0, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 0, 2, 3, 4, 4, 3, 3, 4, 4, 3, 4, 0, 1, 3, 4, 0, 0, 2, 2, 0, 2, 4, 0, 1, 2, 4, 3, 4, 2, 4, 4, 3, 4, 0, 3, 0, 1, 0, 1, 0, 1, 1, 0, 3, 3, 3, 1, 0, 2, 3, 3, 1, 4, 3, 2, 0, 1, 4, 3, 1, 4, 0, 1, 1, 0, 3, 3, 0, 0, 0, 1, 1, 4, 2, 4, 2, 2, 3, 4, 2, 2, 0, 0, 2, 1, 3, 1, 3, 3, 0, 3, 1, 3, 3, 4, 3, 4, 4, 2, 2, 1, 3, 0, 0, 2, 3, 2, 0, 2, 4, 1, 2]
pubkeycol611 = [4, 4, 0, 3, 2, 2, 1, 0, 2, 4, 2, 1, 3, 0, 3, 3, 2, 0, 2, 4, 1, 1, 3, 3, 3, 4, 4, 3, 3, 0, 1, 4, 2, 1, 0, 3, 0, 3, 3, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 4, 0, 4, 4, 0, 2, 4, 4, 4, 4, 2, 1, 2, 3, 1, 2, 4, 3, 3, 1, 4, 4, 3, 4, 4, 0, 2, 4, 0, 0, 3, 4, 3, 2, 1, 2, 2, 1, 2, 3, 2, 0, 0, 4, 2, 1, 0, 3, 0, 3, 0, 4, 1, 4, 3, 2, 2, 0, 1, 1, 2, 0, 4, 4, 3, 4, 3, 3, 2, 3, 3, 3, 0, 3, 0, 4, 4, 0, 4, 0, 1, 1, 3, 2, 2, 4, 0, 4, 4, 2, 0, 1, 0, 2, 2, 1, 2, 4, 0, 2, 1, 4, 4, 1, 4, 3, 3, 2, 2, 2, 0, 1, 0, 3, 1, 3, 1, 3, 0, 4, 2, 2, 2, 2, 0, 3, 3, 4, 3, 4, 4, 1, 4, 0, 3, 3, 4, 1, 1, 4, 0, 4, 2, 2, 0, 3, 0, 2, 4, 2, 4, 1, 3, 2, 1, 3, 2, 1, 3, 0, 0, 0, 3, 3, 2, 3, 3, 0, 0, 4, 0, 4, 4, 0, 1, 0, 3, 4, 0, 4, 3, 2, 0, 2, 1, 1, 0, 0, 4, 0, 0, 3, 0, 4, 0, 0, 0, 1, 4, 0, 3, 2, 2, 3, 0, 1, 4, 3, 0, 0, 1, 3, 4, 1, 0, 4, 1, 2, 0, 0, 0, 4, 3, 2, 2, 4, 0, 4, 3, 2, 2, 2, 1, 1, 4, 2, 4, 0, 1, 3, 2, 1, 4, 2, 2, 3, 1, 2, 4, 1, 3, 1, 2, 1, 2, 4, 3, 1, 4, 2, 4, 4, 3, 2, 4, 4, 0, 2, 4, 2, 3, 3, 1, 0, 3, 2, 2, 4, 4, 2, 0, 2, 3, 0, 1, 1, 3, 3, 2, 1, 3, 2, 4, 3, 3, 2, 0, 2, 4, 1, 3, 3, 1, 3, 0, 1, 3, 0, 3, 0, 2, 1, 4, 0, 0, 0, 2, 3, 2, 0, 3, 3, 3, 3, 4, 2, 1, 1, 4, 0, 4, 2, 1, 4, 4, 3, 3, 0, 4, 1, 4, 3, 2, 4, 3, 4, 3, 4, 2, 1, 3, 4, 4, 0, 1, 4, 0, 4, 4, 0, 2, 0, 1, 2, 4, 2, 2, 4, 1, 0, 2, 4, 3, 0, 3, 0, 3, 1, 4, 3, 4, 1, 2, 2, 2, 3, 0, 2, 3, 0, 0, 0, 3, 3, 3, 0, 4, 2, 2, 3, 3, 2, 1, 0, 4, 4, 2, 4, 0, 4, 1, 1, 1, 4, 0, 0, 0, 0, 2, 2, 4, 4, 3, 1, 0, 2, 0, 0, 3, 3, 1, 2, 1, 0, 2, 2, 4, 3, 2, 1, 1, 2, 1, 0, 3, 2, 1, 1, 3, 1, 1, 3, 2, 1, 3, 1]
pubkeycol612 = [1, 1, 4, 4, 0, 2, 3, 4, 1, 1, 4, 3, 3, 0, 1, 0, 2, 4, 2, 4, 2, 4, 1, 4, 3, 4, 4, 3, 1, 0, 2, 2, 0, 0, 1, 3, 3, 1, 2, 2, 4, 3, 0, 2, 3, 1, 4, 3, 4, 3, 2, 0, 2, 4, 1, 1, 2, 1, 2, 4, 2, 0, 0, 0, 3, 2, 2, 1, 2, 0, 3, 4, 4, 0, 4, 2, 1, 0, 2, 2, 2, 3, 4, 4, 1, 4, 0, 2, 4, 2, 0, 2, 3, 0, 0, 4, 1, 4, 0, 1, 4, 4, 1, 2, 1, 4, 3, 1, 3, 4, 0, 2, 3, 0, 2, 0, 2, 2, 1, 1, 4, 0, 2, 4, 2, 0, 4, 4, 0, 3, 0, 4, 3, 3, 1, 1, 2, 3, 1, 3, 0, 2, 0, 1, 3, 1, 1, 1, 3, 4, 1, 0, 0, 2, 0, 2, 3, 1, 0, 3, 1, 2, 4, 1, 1, 2, 0, 0, 4, 3, 4, 3, 3, 0, 3, 2, 4, 3, 4, 4, 2, 0, 4, 3, 0, 4, 4, 3, 2, 1, 4, 0, 1, 2, 0, 3, 4, 2, 2, 1, 4, 3, 0, 4, 3, 1, 2, 0, 2, 4, 0, 3, 2, 3, 1, 4, 0, 4, 0, 1, 0, 4, 0, 1, 4, 3, 3, 4, 0, 1, 4, 0, 2, 4, 4, 3, 2, 4, 0, 1, 1, 1, 4, 3, 2, 3, 1, 3, 2, 3, 1, 0, 1, 3, 3, 4, 2, 0, 4, 4, 3, 0, 1, 2, 2, 4, 3, 2, 0, 1, 3, 4, 2, 2, 2, 1, 0, 0, 2, 3, 3, 1, 0, 3, 2, 0, 3, 1, 1, 3, 0, 3, 0, 2, 1, 1, 4, 4, 2, 4, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 2, 2, 4, 2, 2, 1, 0, 1, 1, 0, 0, 0, 4, 3, 2, 1, 3, 4, 2, 0, 4, 4, 1, 1, 4, 0, 2, 1, 2, 2, 3, 4, 0, 4, 0, 0, 1, 3, 3, 3, 3, 1, 0, 0, 3, 1, 4, 3, 2, 3, 1, 4, 4, 0, 1, 3, 4, 1, 1, 4, 3, 3, 2, 2, 1, 3, 2, 1, 1, 0, 2, 2, 0, 4, 2, 2, 4, 1, 1, 3, 0, 4, 3, 4, 4, 3, 1, 3, 2, 1, 3, 2, 1, 1, 0, 4, 1, 2, 2, 0, 4, 2, 2, 0, 3, 0, 3, 4, 3, 1, 1, 3, 0, 4, 0, 1, 0, 2, 4, 4, 0, 0, 0, 1, 2, 4, 1, 3, 0, 1, 2, 4, 2, 4, 4, 2, 0, 2, 3, 2, 2, 1, 3, 0, 1, 1, 3, 4, 1, 1, 3, 4, 2, 4, 1, 1, 2, 2, 2, 0, 4, 0, 0, 1, 4, 4, 4, 1, 1, 4, 1, 0, 0, 2, 2, 1, 4, 0, 0, 1, 0, 4, 2, 3, 1, 3, 1, 3, 3, 0, 3, 1, 1, 3, 3]
pubkeycol613 = [0, 3, 1, 3, 1, 0, 0, 2, 4, 1, 3, 4, 4, 0, 1, 3, 1, 3, 4, 1, 2, 4, 0, 0, 1, 0, 2, 2, 3, 0, 4, 2, 4, 1, 2, 2, 0, 4, 1, 0, 2, 4, 0, 1, 0, 1, 4, 4, 3, 1, 1, 4, 4, 0, 1, 4, 4, 3, 1, 1, 2, 4, 0, 1, 4, 4, 2, 1, 1, 4, 4, 2, 1, 4, 0, 1, 3, 1, 1, 1, 0, 1, 0, 2, 3, 4, 3, 2, 4, 3, 4, 3, 2, 2, 3, 0, 3, 4, 0, 4, 3, 1, 3, 1, 3, 0, 1, 0, 3, 1, 2, 2, 0, 4, 0, 1, 2, 0, 0, 4, 3, 2, 4, 1, 4, 4, 4, 1, 4, 2, 3, 2, 2, 4, 1, 2, 4, 4, 4, 3, 1, 1, 4, 3, 1, 3, 3, 3, 4, 0, 3, 1, 3, 0, 4, 2, 0, 1, 4, 0, 3, 1, 0, 2, 4, 4, 1, 0, 0, 0, 3, 1, 1, 4, 0, 4, 1, 4, 2, 0, 2, 2, 3, 3, 2, 2, 1, 4, 1, 0, 1, 2, 0, 1, 2, 4, 4, 1, 3, 2, 4, 4, 2, 4, 4, 2, 4, 1, 3, 0, 4, 2, 4, 0, 4, 2, 4, 0, 3, 1, 4, 1, 0, 3, 1, 1, 3, 4, 4, 1, 3, 3, 4, 0, 0, 3, 1, 3, 1, 2, 4, 2, 2, 0, 0, 1, 2, 1, 4, 2, 1, 4, 4, 2, 2, 2, 1, 1, 2, 3, 3, 4, 2, 4, 4, 3, 3, 4, 1, 0, 1, 2, 1, 3, 2, 1, 4, 3, 0, 2, 1, 2, 0, 1, 2, 3, 0, 0, 3, 2, 4, 3, 0, 4, 3, 4, 3, 3, 1, 4, 0, 4, 0, 0, 4, 3, 4, 0, 0, 2, 3, 4, 4, 2, 4, 4, 1, 0, 0, 4, 4, 1, 4, 1, 0, 2, 4, 4, 2, 3, 0, 3, 3, 3, 4, 3, 0, 0, 1, 4, 3, 4, 2, 1, 2, 0, 3, 4, 1, 4, 4, 3, 2, 3, 2, 4, 4, 4, 1, 2, 2, 2, 4, 1, 0, 1, 4, 3, 3, 2, 3, 2, 3, 3, 0, 2, 2, 1, 0, 2, 0, 3, 2, 4, 4, 1, 3, 0, 0, 2, 2, 2, 2, 1, 0, 4, 3, 4, 3, 1, 1, 1, 3, 0, 4, 1, 1, 1, 3, 2, 3, 2, 3, 3, 3, 0, 0, 3, 1, 1, 4, 2, 1, 0, 0, 4, 0, 0, 3, 0, 1, 4, 4, 3, 0, 0, 3, 1, 3, 4, 1, 2, 2, 4, 1, 0, 1, 2, 4, 2, 1, 0, 0, 2, 1, 2, 3, 1, 2, 0, 1, 1, 3, 0, 1, 4, 4, 1, 4, 3, 2, 0, 3, 3, 4, 4, 2, 4, 0, 4, 0, 2, 0, 1, 3, 2, 2, 3, 3, 4, 0, 0, 3, 0, 4, 4, 0, 3, 4, 4, 1, 1, 2, 4, 2]
pubkeycol614 = [2, 3, 1, 0, 0, 3, 0, 2, 4, 0, 1, 2, 1, 4, 2, 0, 4, 1, 4, 2, 1, 4, 4, 3, 4, 2, 1, 3, 2, 4, 1, 1, 2, 2, 0, 0, 1, 1, 2, 3, 0, 1, 3, 3, 1, 4, 4, 4, 4, 2, 0, 4, 0, 0, 3, 4, 2, 2, 1, 0, 1, 3, 4, 3, 4, 4, 4, 1, 2, 0, 0, 0, 4, 4, 0, 2, 0, 0, 1, 1, 1, 4, 1, 4, 3, 1, 2, 1, 0, 1, 3, 2, 0, 4, 2, 0, 0, 0, 1, 4, 2, 0, 2, 4, 1, 3, 4, 2, 3, 0, 2, 2, 2, 0, 3, 1, 4, 4, 1, 0, 4, 1, 2, 1, 3, 0, 3, 0, 4, 4, 3, 1, 1, 0, 4, 2, 4, 3, 3, 4, 3, 0, 2, 0, 1, 3, 1, 0, 2, 0, 2, 4, 2, 0, 4, 0, 1, 0, 1, 0, 4, 0, 3, 3, 2, 3, 2, 2, 3, 0, 1, 0, 4, 2, 3, 0, 3, 1, 4, 4, 4, 4, 2, 2, 1, 2, 1, 2, 3, 2, 1, 4, 3, 2, 2, 4, 4, 1, 4, 0, 4, 4, 2, 3, 0, 2, 0, 1, 3, 4, 4, 1, 4, 2, 4, 3, 0, 0, 1, 3, 4, 0, 3, 0, 3, 4, 1, 4, 4, 3, 3, 0, 4, 2, 0, 1, 4, 3, 0, 1, 3, 2, 3, 0, 3, 2, 3, 3, 0, 4, 2, 2, 1, 4, 1, 3, 3, 0, 0, 2, 1, 2, 4, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 3, 4, 1, 4, 4, 1, 4, 3, 4, 2, 2, 2, 2, 4, 2, 0, 3, 3, 4, 2, 2, 3, 4, 0, 0, 0, 0, 4, 4, 3, 3, 4, 3, 3, 0, 3, 3, 0, 0, 3, 4, 3, 0, 0, 4, 1, 0, 3, 4, 4, 1, 3, 2, 2, 3, 2, 2, 1, 0, 1, 0, 4, 0, 3, 2, 0, 1, 3, 3, 4, 2, 1, 3, 3, 4, 0, 2, 1, 0, 1, 4, 1, 4, 2, 0, 3, 2, 3, 3, 0, 1, 2, 1, 4, 0, 0, 2, 4, 3, 2, 0, 4, 3, 3, 4, 4, 3, 2, 3, 3, 3, 3, 0, 0, 0, 1, 4, 3, 2, 1, 4, 4, 1, 4, 4, 1, 2, 2, 4, 3, 1, 3, 4, 1, 1, 1, 3, 2, 1, 3, 3, 3, 4, 0, 3, 0, 0, 4, 4, 3, 0, 0, 4, 0, 3, 1, 3, 1, 0, 3, 0, 2, 2, 4, 1, 4, 3, 4, 1, 2, 3, 1, 3, 2, 1, 4, 1, 2, 2, 1, 3, 1, 4, 4, 2, 2, 3, 2, 2, 0, 3, 2, 0, 1, 3, 4, 1, 0, 2, 0, 1, 1, 0, 0, 4, 1, 2, 1, 0, 4, 3, 4, 3, 1, 4, 2, 0, 2, 1, 0, 3, 2, 0, 0, 4, 1, 2, 0, 3, 3]
pubkeycol615 = [0, 3, 0, 2, 0, 4, 3, 0, 4, 0, 4, 1, 1, 3, 1, 3, 2, 3, 3, 3, 3, 0, 1, 1, 3, 1, 4, 4, 4, 0, 4, 3, 3, 1, 3, 4, 0, 2, 2, 3, 2, 4, 4, 4, 2, 1, 4, 3, 1, 2, 2, 3, 4, 0, 2, 4, 4, 4, 1, 2, 4, 0, 1, 2, 1, 2, 1, 3, 2, 0, 3, 1, 2, 1, 0, 3, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 1, 1, 2, 3, 3, 2, 0, 2, 4, 0, 1, 1, 2, 1, 1, 0, 4, 1, 3, 3, 3, 3, 1, 3, 2, 3, 3, 2, 3, 2, 0, 2, 2, 0, 2, 4, 4, 0, 0, 3, 2, 2, 3, 4, 1, 1, 1, 1, 1, 0, 1, 3, 2, 0, 2, 1, 1, 4, 4, 0, 0, 0, 2, 3, 2, 4, 0, 3, 3, 3, 0, 0, 2, 1, 1, 4, 1, 2, 4, 3, 0, 1, 4, 4, 0, 4, 3, 0, 3, 4, 1, 2, 4, 0, 4, 4, 4, 1, 4, 3, 1, 4, 4, 2, 2, 1, 1, 1, 0, 4, 4, 1, 2, 4, 3, 0, 1, 0, 2, 4, 0, 3, 2, 1, 0, 1, 0, 0, 0, 3, 4, 1, 4, 0, 3, 2, 3, 3, 2, 2, 3, 0, 1, 2, 0, 1, 0, 2, 1, 3, 3, 4, 2, 2, 1, 4, 3, 3, 2, 0, 0, 4, 3, 1, 0, 0, 4, 3, 1, 4, 3, 0, 4, 2, 1, 4, 1, 4, 4, 0, 2, 4, 2, 3, 3, 0, 4, 2, 4, 4, 2, 0, 4, 2, 1, 4, 3, 3, 1, 4, 1, 1, 4, 2, 2, 4, 1, 1, 4, 2, 4, 2, 4, 1, 1, 3, 0, 3, 1, 3, 3, 0, 3, 4, 4, 3, 2, 4, 2, 2, 0, 2, 3, 1, 4, 1, 0, 3, 1, 3, 0, 4, 1, 3, 0, 0, 0, 2, 3, 0, 1, 2, 2, 1, 0, 3, 4, 1, 4, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 3, 2, 3, 0, 0, 4, 3, 2, 2, 4, 2, 3, 2, 4, 2, 3, 0, 1, 0, 3, 0, 4, 3, 4, 1, 2, 4, 4, 2, 0, 0, 1, 4, 1, 3, 1, 3, 4, 0, 3, 0, 1, 0, 0, 1, 4, 3, 3, 3, 4, 2, 4, 0, 3, 2, 4, 2, 3, 2, 2, 3, 4, 2, 0, 2, 4, 0, 4, 2, 1, 3, 4, 1, 2, 4, 2, 1, 1, 1, 2, 0, 3, 3, 2, 1, 1, 2, 4, 3, 0, 0, 4, 2, 2, 1, 0, 2, 2, 4, 0, 0, 3, 3, 0, 3, 1, 4, 2, 1, 3, 2, 0, 3, 4, 3, 4, 4, 3, 1, 4, 0, 2, 0, 4, 3, 0, 2, 3, 0, 3, 3, 1, 1, 4, 4, 0, 2, 1, 3, 3, 4, 0, 3, 1, 4, 0, 2, 1]
pubkeycol616 = [1, 0, 2, 2, 1, 0, 1, 3, 0, 0, 3, 2, 1, 0, 2, 0, 0, 3, 0, 4, 3, 1, 4, 2, 2, 1, 4, 4, 4, 1, 1, 2, 0, 1, 3, 0, 4, 1, 2, 1, 0, 2, 3, 3, 3, 4, 2, 1, 2, 3, 2, 3, 0, 3, 2, 3, 2, 3, 0, 2, 2, 3, 1, 0, 1, 2, 2, 3, 2, 4, 2, 1, 0, 4, 1, 0, 2, 1, 4, 4, 0, 0, 3, 2, 0, 3, 3, 0, 3, 2, 4, 4, 0, 1, 1, 2, 2, 0, 2, 1, 3, 0, 1, 3, 2, 0, 2, 3, 2, 4, 2, 0, 2, 1, 4, 4, 2, 2, 0, 4, 2, 0, 1, 2, 4, 0, 2, 0, 2, 2, 1, 3, 2, 2, 2, 2, 1, 4, 2, 2, 0, 2, 3, 4, 0, 3, 3, 0, 1, 4, 2, 0, 0, 2, 4, 0, 2, 3, 2, 4, 4, 1, 3, 1, 3, 0, 4, 0, 3, 4, 2, 2, 2, 2, 3, 0, 3, 3, 0, 1, 0, 3, 0, 1, 4, 4, 4, 0, 0, 3, 0, 2, 4, 1, 4, 4, 1, 0, 2, 4, 0, 0, 0, 4, 3, 2, 2, 4, 4, 4, 3, 1, 1, 4, 4, 2, 0, 0, 4, 4, 2, 0, 3, 3, 2, 1, 3, 1, 1, 2, 3, 3, 4, 3, 0, 2, 4, 4, 2, 0, 0, 1, 3, 2, 3, 2, 4, 4, 2, 1, 1, 4, 2, 4, 4, 0, 0, 1, 2, 3, 1, 4, 4, 4, 2, 1, 1, 3, 1, 1, 0, 1, 4, 2, 4, 3, 0, 2, 3, 2, 0, 0, 4, 0, 1, 2, 2, 1, 4, 1, 4, 0, 4, 3, 0, 1, 0, 0, 1, 1, 3, 4, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 4, 1, 4, 2, 0, 3, 0, 0, 4, 4, 3, 4, 0, 2, 2, 3, 2, 0, 3, 4, 4, 0, 3, 2, 0, 3, 2, 2, 1, 2, 1, 0, 2, 4, 3, 0, 1, 1, 2, 1, 1, 4, 4, 2, 4, 0, 4, 3, 4, 2, 2, 0, 1, 4, 1, 4, 2, 0, 0, 1, 4, 3, 4, 0, 3, 3, 0, 1, 4, 1, 1, 0, 2, 4, 3, 3, 4, 3, 0, 2, 2, 4, 3, 1, 1, 3, 1, 4, 1, 0, 4, 4, 2, 1, 3, 3, 3, 0, 3, 2, 2, 3, 1, 4, 2, 0, 3, 1, 0, 2, 1, 1, 4, 2, 2, 4, 2, 1, 0, 1, 0, 3, 1, 2, 3, 2, 1, 2, 4, 4, 2, 4, 3, 0, 0, 2, 2, 3, 1, 1, 0, 4, 3, 2, 3, 3, 3, 3, 0, 4, 4, 1, 4, 2, 0, 4, 4, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 4, 1, 0, 4, 1, 4, 0, 4, 4, 2, 2, 1, 4, 4, 2, 2, 3, 4, 0, 1, 0, 2, 0, 2, 3, 2]
pubkeycol617 = [2, 1, 3, 3, 4, 0, 3, 1, 0, 3, 3, 4, 4, 0, 1, 2, 0, 0, 1, 2, 2, 4, 2, 1, 3, 4, 2, 4, 2, 1, 4, 3, 1, 1, 0, 4, 1, 2, 0, 3, 0, 4, 3, 3, 1, 4, 0, 3, 2, 1, 0, 4, 0, 1, 1, 2, 4, 1, 3, 4, 3, 2, 4, 0, 4, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 3, 4, 2, 3, 1, 2, 1, 2, 2, 4, 3, 4, 1, 1, 3, 0, 3, 3, 2, 2, 0, 3, 3, 0, 0, 1, 4, 0, 3, 1, 1, 3, 3, 0, 0, 2, 1, 4, 2, 1, 3, 3, 1, 4, 1, 0, 1, 2, 4, 4, 3, 3, 2, 4, 3, 3, 3, 0, 0, 4, 0, 1, 3, 4, 2, 0, 1, 0, 1, 3, 4, 4, 1, 3, 0, 0, 3, 1, 3, 3, 0, 4, 3, 2, 3, 4, 0, 4, 3, 3, 4, 3, 3, 4, 0, 3, 3, 3, 1, 1, 3, 4, 2, 3, 1, 2, 4, 3, 4, 0, 3, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 3, 3, 0, 1, 0, 2, 3, 0, 3, 3, 1, 1, 3, 3, 4, 0, 1, 1, 0, 2, 2, 2, 4, 3, 4, 3, 2, 3, 2, 2, 0, 4, 1, 4, 3, 0, 4, 4, 0, 3, 2, 2, 3, 4, 3, 0, 1, 1, 1, 1, 0, 0, 3, 4, 3, 2, 3, 0, 1, 3, 2, 3, 2, 2, 1, 3, 0, 3, 0, 2, 2, 1, 1, 4, 1, 2, 2, 0, 2, 0, 2, 2, 4, 1, 0, 4, 3, 4, 4, 3, 4, 4, 1, 0, 0, 2, 4, 3, 1, 2, 0, 1, 3, 2, 3, 0, 3, 2, 2, 0, 1, 4, 4, 4, 0, 3, 4, 1, 0, 1, 4, 1, 2, 1, 1, 4, 2, 3, 4, 4, 2, 3, 1, 2, 4, 4, 2, 2, 4, 2, 3, 2, 4, 0, 0, 2, 0, 0, 2, 1, 4, 4, 1, 3, 4, 2, 0, 3, 0, 0, 2, 0, 4, 2, 2, 0, 0, 4, 3, 2, 1, 3, 1, 4, 1, 1, 3, 4, 2, 3, 1, 0, 3, 2, 4, 1, 2, 4, 4, 4, 2, 0, 0, 0, 1, 0, 4, 0, 0, 1, 0, 3, 4, 0, 4, 0, 4, 4, 1, 2, 3, 4, 3, 3, 0, 2, 1, 1, 0, 4, 3, 3, 4, 4, 0, 1, 3, 4, 1, 4, 0, 0, 0, 1, 1, 1, 1, 4, 4, 3, 0, 4, 4, 0, 0, 2, 2, 4, 4, 3, 1, 4, 2, 1, 4, 2, 2, 4, 3, 1, 0, 3, 2, 0, 2, 2, 1, 0, 3, 0, 0, 0, 3, 2, 0, 0, 4, 1, 4, 1, 4, 1, 3, 3, 0, 0, 0, 4, 1, 0, 4, 2, 0, 0, 0, 3, 1, 0, 2, 1, 3, 4, 4, 3, 1, 3, 4, 1]
pubkeycol618 = [2, 1, 0, 1, 3, 0, 2, 2, 1, 3, 1, 1, 4, 3, 1, 0, 4, 3, 1, 1, 2, 2, 0, 3, 4, 1, 4, 0, 2, 1, 4, 2, 2, 4, 0, 2, 0, 3, 4, 1, 0, 2, 1, 0, 0, 0, 4, 2, 2, 0, 2, 0, 1, 4, 2, 0, 2, 1, 0, 3, 2, 0, 0, 1, 4, 4, 2, 2, 2, 2, 1, 4, 3, 3, 1, 2, 2, 1, 4, 2, 3, 3, 3, 4, 1, 0, 4, 0, 4, 4, 0, 3, 0, 4, 3, 2, 3, 1, 2, 1, 0, 2, 3, 2, 0, 4, 2, 2, 4, 2, 3, 1, 0, 4, 3, 0, 2, 2, 2, 4, 3, 0, 1, 0, 2, 0, 1, 1, 4, 1, 2, 2, 4, 4, 2, 0, 1, 3, 1, 0, 0, 1, 1, 4, 1, 3, 0, 0, 3, 2, 0, 2, 1, 2, 3, 3, 1, 1, 2, 4, 3, 2, 4, 1, 4, 1, 0, 3, 2, 0, 2, 2, 3, 2, 1, 4, 3, 0, 4, 4, 4, 3, 0, 1, 1, 0, 2, 2, 2, 0, 4, 3, 4, 2, 0, 4, 3, 3, 4, 2, 1, 0, 3, 2, 4, 4, 0, 0, 3, 2, 1, 1, 0, 1, 4, 4, 2, 0, 0, 4, 2, 1, 0, 4, 0, 1, 1, 4, 0, 1, 2, 3, 2, 0, 4, 1, 0, 0, 1, 4, 1, 1, 1, 0, 1, 2, 4, 2, 1, 1, 3, 0, 3, 3, 1, 2, 0, 1, 0, 3, 1, 1, 1, 4, 4, 4, 2, 3, 1, 4, 1, 4, 3, 4, 2, 0, 4, 4, 0, 3, 4, 1, 2, 3, 0, 2, 2, 4, 0, 4, 1, 3, 3, 0, 4, 2, 1, 2, 2, 4, 0, 3, 1, 1, 1, 4, 1, 1, 1, 0, 3, 0, 2, 3, 0, 2, 1, 4, 3, 2, 1, 0, 0, 2, 4, 4, 3, 3, 0, 1, 1, 2, 3, 1, 2, 1, 4, 3, 4, 3, 3, 0, 0, 1, 2, 4, 3, 2, 0, 0, 4, 2, 2, 4, 1, 4, 1, 4, 3, 3, 0, 3, 3, 1, 2, 0, 0, 1, 2, 3, 0, 4, 0, 3, 0, 3, 3, 3, 2, 3, 3, 0, 0, 3, 2, 3, 1, 0, 1, 4, 4, 4, 3, 2, 0, 2, 3, 2, 4, 0, 4, 0, 0, 2, 1, 4, 2, 0, 3, 0, 3, 3, 4, 4, 4, 3, 4, 0, 1, 0, 0, 0, 1, 4, 4, 2, 0, 4, 3, 2, 4, 2, 0, 2, 2, 3, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 4, 4, 2, 2, 2, 4, 2, 4, 2, 1, 0, 4, 0, 1, 1, 4, 2, 2, 1, 1, 2, 0, 0, 0, 3, 1, 1, 4, 0, 2, 2, 4, 3, 3, 2, 1, 3, 3, 4, 4, 3, 0, 4, 4, 4, 2, 1, 1, 2, 4, 0, 1, 1, 2, 2, 0, 1, 0]
pubkeycol619 = [3, 2, 2, 1, 0, 3, 1, 2, 0, 2, 1, 3, 3, 4, 0, 2, 3, 2, 1, 0, 0, 2, 4, 4, 0, 4, 1, 4, 0, 1, 2, 0, 4, 1, 4, 1, 3, 0, 1, 4, 2, 3, 0, 4, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 4, 1, 2, 1, 0, 3, 4, 1, 2, 1, 0, 4, 4, 0, 2, 4, 1, 0, 1, 4, 2, 1, 3, 4, 0, 0, 3, 3, 2, 2, 2, 4, 1, 4, 0, 3, 1, 3, 0, 0, 3, 4, 1, 0, 2, 1, 4, 4, 2, 4, 4, 4, 1, 2, 1, 0, 4, 4, 4, 4, 3, 3, 2, 3, 4, 1, 0, 2, 1, 2, 2, 4, 2, 1, 2, 0, 0, 3, 2, 2, 1, 3, 4, 1, 0, 1, 2, 4, 2, 4, 4, 2, 3, 3, 2, 0, 0, 1, 2, 3, 2, 3, 0, 2, 0, 2, 1, 3, 2, 3, 1, 4, 0, 2, 4, 3, 3, 1, 2, 0, 4, 2, 3, 2, 3, 0, 2, 1, 4, 3, 0, 4, 1, 1, 4, 2, 2, 4, 3, 2, 3, 0, 2, 2, 1, 0, 2, 0, 3, 4, 1, 2, 3, 2, 1, 1, 1, 2, 4, 2, 1, 2, 4, 4, 1, 0, 4, 1, 3, 2, 4, 4, 0, 4, 2, 2, 2, 2, 0, 4, 4, 2, 4, 1, 3, 4, 2, 4, 2, 2, 3, 1, 4, 3, 1, 4, 4, 2, 0, 2, 4, 2, 1, 2, 0, 2, 0, 3, 2, 0, 0, 0, 1, 3, 0, 2, 1, 4, 1, 3, 2, 3, 2, 2, 2, 0, 0, 2, 2, 0, 1, 4, 4, 4, 4, 0, 2, 4, 1, 4, 3, 0, 1, 3, 0, 4, 1, 1, 4, 1, 1, 1, 2, 3, 4, 3, 1, 4, 1, 0, 3, 1, 1, 4, 4, 3, 2, 2, 0, 0, 4, 1, 4, 2, 0, 2, 1, 3, 1, 0, 2, 0, 0, 3, 0, 1, 1, 4, 2, 0, 2, 2, 4, 4, 4, 0, 1, 4, 0, 4, 0, 1, 4, 4, 2, 0, 1, 3, 2, 3, 4, 0, 3, 2, 1, 2, 1, 1, 2, 4, 4, 4, 1, 2, 3, 1, 1, 2, 2, 3, 3, 4, 1, 1, 3, 0, 1, 0, 0, 1, 0, 1, 2, 1, 3, 4, 1, 1, 0, 2, 1, 0, 2, 4, 2, 0, 1, 3, 1, 3, 0, 3, 0, 3, 1, 3, 0, 4, 3, 1, 0, 0, 2, 1, 3, 2, 2, 2, 0, 0, 2, 0, 4, 4, 2, 0, 0, 1, 2, 3, 3, 2, 0, 2, 1, 0, 0, 2, 3, 0, 2, 0, 3, 2, 2, 4, 4, 0, 2, 4, 2, 2, 0, 0, 3, 3, 2, 1, 1, 1, 2, 0, 4, 3, 3, 3, 4, 0, 0, 0, 3, 4, 0, 0, 3, 4, 4, 0, 4, 2, 1, 1, 3, 3, 3, 4, 0, 2, 2, 2, 4]
pubkeycol620 = [1, 2, 1, 0, 4, 2, 0, 3, 1, 3, 4, 2, 3, 2, 1, 2, 1, 0, 2, 0, 3, 0, 4, 3, 1, 1, 0, 2, 2, 1, 0, 2, 3, 2, 3, 0, 2, 4, 2, 4, 4, 1, 4, 4, 2, 0, 1, 2, 4, 2, 0, 0, 0, 0, 4, 4, 3, 1, 2, 0, 2, 2, 0, 1, 0, 3, 3, 1, 0, 4, 1, 4, 0, 1, 3, 4, 4, 4, 0, 2, 1, 1, 3, 3, 2, 1, 0, 4, 0, 4, 4, 3, 3, 2, 4, 0, 1, 0, 4, 1, 0, 0, 2, 2, 1, 2, 4, 3, 1, 0, 2, 1, 4, 3, 4, 1, 4, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 4, 1, 0, 2, 2, 4, 4, 3, 1, 1, 3, 4, 3, 0, 1, 0, 2, 3, 0, 1, 2, 0, 2, 4, 1, 3, 3, 4, 1, 2, 2, 3, 3, 4, 1, 0, 1, 3, 3, 1, 0, 1, 0, 4, 0, 4, 3, 2, 2, 1, 2, 4, 3, 4, 1, 3, 0, 4, 1, 2, 2, 4, 4, 4, 0, 2, 3, 2, 0, 3, 4, 4, 4, 4, 3, 1, 1, 0, 3, 1, 1, 1, 1, 2, 4, 3, 0, 2, 4, 0, 3, 1, 4, 1, 1, 1, 0, 3, 1, 3, 4, 2, 2, 3, 1, 1, 2, 1, 4, 2, 3, 1, 3, 4, 4, 3, 0, 2, 2, 2, 0, 4, 1, 4, 3, 0, 3, 0, 4, 0, 1, 0, 3, 0, 2, 0, 1, 4, 4, 0, 3, 4, 2, 0, 4, 3, 1, 0, 1, 4, 0, 0, 2, 4, 4, 4, 2, 4, 2, 3, 0, 4, 2, 2, 4, 0, 4, 4, 1, 4, 0, 2, 2, 2, 1, 2, 3, 3, 1, 4, 2, 0, 4, 1, 1, 1, 1, 4, 0, 0, 1, 3, 1, 2, 1, 3, 0, 0, 4, 1, 4, 2, 3, 1, 4, 2, 0, 1, 1, 0, 2, 2, 4, 4, 4, 2, 1, 1, 3, 1, 1, 4, 3, 1, 3, 2, 2, 0, 4, 1, 2, 1, 4, 1, 4, 1, 1, 2, 3, 2, 1, 1, 1, 1, 0, 4, 2, 0, 2, 3, 0, 0, 4, 3, 0, 2, 4, 1, 1, 2, 0, 1, 2, 1, 3, 1, 0, 4, 3, 2, 4, 0, 1, 1, 4, 3, 4, 4, 0, 1, 0, 4, 1, 1, 0, 1, 2, 3, 2, 1, 2, 0, 4, 2, 1, 3, 0, 0, 3, 4, 2, 2, 2, 1, 0, 4, 4, 3, 3, 0, 1, 3, 2, 2, 0, 2, 2, 4, 4, 3, 2, 1, 2, 0, 4, 1, 4, 4, 3, 4, 0, 1, 3, 3, 3, 0, 2, 1, 2, 2, 4, 0, 1, 1, 0, 4, 1, 4, 2, 4, 3, 2, 0, 3, 3, 0, 1, 3, 1, 4, 2, 4, 3, 0, 3, 4, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1]
pubkeycol621 = [3, 4, 0, 0, 1, 0, 2, 4, 0, 0, 2, 0, 1, 3, 3, 0, 2, 4, 4, 4, 3, 3, 2, 2, 3, 3, 3, 0, 4, 4, 3, 0, 0, 3, 3, 4, 0, 2, 4, 4, 0, 1, 4, 2, 0, 1, 4, 2, 4, 4, 0, 1, 1, 3, 0, 4, 3, 1, 3, 2, 1, 3, 3, 3, 0, 2, 3, 1, 0, 3, 0, 1, 2, 2, 3, 0, 3, 2, 2, 0, 0, 0, 4, 2, 4, 0, 3, 1, 0, 1, 3, 2, 0, 2, 2, 0, 0, 3, 1, 2, 3, 4, 4, 3, 3, 0, 1, 1, 0, 1, 0, 2, 0, 0, 3, 1, 2, 4, 1, 4, 3, 3, 4, 2, 0, 0, 1, 1, 3, 4, 1, 4, 3, 1, 4, 1, 1, 3, 2, 1, 4, 0, 2, 3, 1, 0, 4, 0, 4, 0, 0, 3, 4, 3, 3, 4, 0, 4, 4, 2, 4, 4, 4, 3, 2, 0, 1, 1, 2, 0, 4, 2, 3, 4, 0, 0, 1, 0, 0, 1, 4, 3, 2, 4, 1, 4, 0, 1, 4, 4, 2, 0, 4, 1, 2, 0, 1, 4, 3, 0, 2, 1, 3, 4, 0, 4, 4, 1, 0, 0, 1, 3, 2, 2, 1, 3, 0, 0, 0, 4, 4, 0, 0, 0, 3, 1, 3, 2, 1, 2, 3, 0, 3, 4, 0, 2, 2, 0, 1, 4, 3, 4, 1, 1, 2, 2, 1, 1, 3, 0, 0, 2, 0, 1, 1, 0, 3, 2, 4, 0, 2, 4, 2, 4, 4, 3, 0, 3, 2, 3, 4, 2, 4, 0, 3, 3, 3, 0, 2, 2, 1, 0, 0, 4, 4, 0, 0, 4, 0, 3, 2, 2, 1, 4, 3, 1, 4, 3, 1, 2, 0, 3, 3, 0, 3, 1, 2, 2, 1, 2, 3, 4, 3, 1, 1, 3, 3, 4, 1, 2, 2, 1, 4, 2, 1, 2, 4, 4, 0, 1, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 4, 4, 0, 3, 2, 2, 1, 2, 1, 3, 1, 2, 2, 1, 3, 3, 4, 0, 3, 3, 0, 2, 3, 3, 4, 2, 3, 1, 3, 1, 4, 3, 1, 1, 4, 3, 0, 2, 4, 1, 1, 4, 1, 0, 1, 4, 0, 2, 4, 0, 0, 1, 0, 0, 4, 2, 2, 0, 0, 4, 0, 3, 0, 4, 4, 0, 0, 1, 4, 1, 2, 4, 0, 4, 1, 2, 4, 4, 2, 4, 0, 0, 3, 4, 1, 1, 3, 1, 0, 3, 4, 4, 1, 0, 4, 2, 2, 1, 2, 0, 1, 4, 2, 3, 1, 3, 0, 4, 2, 2, 4, 2, 3, 2, 1, 1, 0, 3, 2, 3, 3, 4, 3, 3, 2, 4, 1, 3, 0, 4, 2, 3, 2, 4, 4, 3, 4, 0, 0, 0, 4, 1, 4, 0, 0, 3, 4, 0, 4, 1, 0, 4, 2, 2, 2, 1, 0, 3, 4, 1, 2, 3, 3, 3, 0]
pubkeycol622 = [0, 2, 0, 2, 2, 2, 0, 0, 1, 4, 3, 1, 0, 4, 2, 4, 2, 1, 1, 4, 3, 1, 4, 3, 2, 3, 1, 3, 0, 4, 3, 2, 0, 1, 3, 4, 1, 4, 2, 2, 1, 4, 3, 0, 1, 2, 4, 2, 2, 3, 4, 3, 1, 1, 4, 0, 2, 0, 0, 0, 2, 2, 2, 4, 3, 0, 3, 0, 0, 4, 1, 0, 0, 0, 1, 0, 3, 0, 4, 0, 2, 2, 3, 3, 0, 3, 1, 0, 0, 0, 1, 0, 0, 1, 4, 2, 3, 4, 0, 4, 4, 3, 0, 2, 0, 0, 0, 3, 3, 3, 4, 1, 2, 0, 0, 3, 4, 1, 2, 1, 3, 3, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 4, 2, 1, 4, 0, 1, 0, 2, 0, 4, 3, 4, 1, 1, 2, 0, 0, 4, 4, 2, 0, 2, 4, 3, 3, 4, 2, 3, 4, 0, 0, 1, 3, 3, 3, 1, 4, 0, 0, 1, 2, 1, 3, 0, 2, 2, 1, 4, 1, 0, 2, 2, 2, 1, 0, 4, 0, 4, 2, 4, 2, 3, 4, 3, 1, 3, 2, 4, 4, 3, 4, 3, 2, 1, 1, 3, 4, 1, 4, 2, 1, 4, 3, 4, 3, 3, 4, 1, 0, 3, 4, 1, 0, 3, 3, 0, 4, 1, 3, 2, 0, 2, 2, 4, 0, 3, 3, 2, 0, 1, 4, 1, 1, 2, 4, 1, 3, 1, 0, 3, 4, 4, 1, 3, 3, 2, 3, 3, 4, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 3, 0, 0, 4, 4, 4, 4, 3, 2, 3, 3, 3, 2, 3, 3, 3, 4, 1, 0, 1, 4, 3, 0, 1, 0, 0, 3, 0, 1, 2, 2, 4, 4, 1, 4, 1, 3, 3, 4, 2, 1, 2, 3, 3, 1, 2, 2, 3, 2, 4, 2, 4, 2, 0, 4, 2, 4, 1, 0, 3, 1, 4, 4, 1, 4, 2, 4, 3, 1, 3, 1, 0, 0, 3, 1, 1, 0, 1, 2, 2, 2, 1, 4, 4, 0, 2, 0, 2, 0, 0, 4, 3, 3, 0, 0, 1, 2, 1, 3, 2, 0, 3, 3, 3, 0, 0, 2, 2, 3, 4, 2, 0, 1, 1, 4, 3, 4, 2, 0, 3, 4, 1, 4, 4, 1, 0, 4, 0, 2, 2, 3, 0, 1, 4, 2, 0, 2, 2, 2, 1, 4, 0, 2, 1, 1, 2, 0, 4, 3, 0, 0, 3, 3, 3, 0, 2, 2, 0, 3, 2, 2, 1, 1, 4, 1, 3, 1, 0, 1, 2, 4, 0, 0, 2, 3, 2, 2, 4, 0, 0, 2, 2, 3, 4, 1, 4, 2, 3, 3, 3, 3, 2, 2, 0, 4, 0, 1, 3, 1, 0, 3, 1, 3, 4, 1, 4, 1, 0, 1, 1, 1, 4, 3, 2, 4, 3, 2, 4, 2, 4, 0, 4, 1, 4, 1, 0, 0, 2, 4, 2]
pubkeycol623 = [3, 2, 1, 2, 0, 4, 2, 1, 2, 2, 2, 2, 1, 3, 0, 4, 0, 0, 3, 3, 2, 3, 3, 1, 4, 4, 2, 1, 1, 3, 4, 1, 0, 4, 1, 3, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 3, 0, 4, 0, 4, 2, 0, 1, 2, 3, 1, 4, 1, 1, 1, 0, 1, 3, 1, 3, 0, 3, 0, 1, 2, 4, 4, 2, 4, 2, 2, 2, 4, 0, 2, 2, 3, 1, 2, 4, 3, 2, 4, 2, 0, 3, 3, 3, 0, 4, 0, 3, 2, 0, 4, 2, 3, 1, 1, 3, 1, 4, 4, 2, 4, 2, 3, 2, 4, 4, 2, 4, 4, 3, 0, 2, 0, 2, 1, 4, 2, 3, 4, 0, 1, 3, 1, 4, 4, 4, 4, 1, 0, 0, 3, 1, 4, 1, 3, 2, 0, 4, 1, 4, 0, 1, 2, 3, 1, 3, 1, 1, 1, 4, 4, 2, 0, 2, 0, 3, 0, 2, 1, 2, 2, 4, 3, 2, 0, 1, 2, 3, 0, 4, 3, 2, 2, 3, 2, 4, 1, 1, 2, 0, 3, 1, 1, 1, 3, 0, 2, 0, 4, 4, 4, 1, 1, 0, 3, 0, 0, 2, 2, 0, 1, 0, 2, 4, 3, 3, 1, 2, 3, 2, 3, 1, 4, 0, 2, 0, 2, 0, 4, 0, 3, 4, 3, 0, 1, 3, 0, 3, 4, 4, 0, 2, 0, 2, 3, 3, 3, 0, 4, 3, 4, 1, 2, 1, 1, 0, 4, 1, 1, 1, 3, 0, 4, 1, 1, 0, 1, 4, 3, 2, 3, 0, 4, 0, 2, 2, 3, 2, 1, 1, 2, 1, 1, 3, 2, 3, 3, 3, 3, 2, 0, 3, 0, 3, 2, 3, 2, 2, 1, 2, 2, 0, 2, 4, 4, 0, 3, 4, 2, 2, 2, 4, 4, 0, 2, 4, 0, 0, 4, 3, 0, 1, 1, 0, 0, 2, 0, 0, 0, 4, 1, 3, 2, 0, 2, 0, 3, 2, 3, 1, 1, 3, 3, 0, 2, 4, 3, 2, 4, 3, 1, 4, 3, 0, 1, 2, 1, 2, 2, 0, 2, 4, 3, 1, 0, 2, 1, 2, 1, 4, 3, 4, 4, 1, 4, 1, 2, 3, 0, 1, 4, 2, 4, 0, 1, 2, 2, 2, 1, 0, 3, 0, 1, 3, 2, 1, 4, 1, 0, 3, 4, 2, 0, 0, 4, 2, 1, 4, 2, 0, 2, 4, 2, 0, 4, 3, 1, 3, 3, 3, 3, 0, 2, 3, 3, 1, 4, 2, 2, 2, 3, 1, 1, 4, 2, 0, 4, 1, 4, 2, 4, 3, 1, 0, 0, 1, 1, 4, 1, 0, 0, 4, 2, 0, 0, 2, 0, 2, 4, 2, 4, 2, 0, 1, 1, 0, 1, 0, 2, 4, 4, 1, 3, 0, 1, 0, 3, 3, 0, 2, 0, 1, 2, 1, 0, 3, 4, 4, 1, 0, 4, 2, 0, 2, 0, 1, 1, 1, 3, 0, 4, 1, 1, 4, 3]
pubkeycol624 = [4, 3, 4, 1, 1, 3, 3, 0, 0, 3, 1, 2, 4, 1, 3, 2, 1, 3, 0, 0, 2, 0, 2, 0, 2, 4, 2, 3, 0, 0, 3, 1, 3, 4, 4, 0, 1, 3, 1, 4, 1, 2, 0, 0, 4, 4, 4, 3, 1, 2, 4, 3, 2, 2, 3, 0, 0, 4, 3, 4, 0, 4, 0, 1, 0, 0, 2, 4, 0, 4, 3, 3, 2, 1, 1, 4, 0, 4, 2, 2, 1, 2, 4, 0, 0, 0, 4, 0, 2, 1, 2, 4, 2, 4, 1, 4, 0, 2, 3, 0, 4, 2, 3, 2, 2, 4, 4, 3, 4, 4, 2, 0, 2, 3, 1, 1, 3, 3, 2, 0, 2, 0, 0, 0, 2, 1, 0, 3, 2, 0, 2, 2, 2, 4, 0, 1, 1, 2, 4, 4, 2, 4, 1, 1, 2, 0, 3, 3, 2, 2, 4, 3, 1, 1, 0, 2, 0, 3, 1, 2, 4, 0, 0, 3, 2, 2, 1, 1, 4, 0, 1, 4, 0, 4, 0, 0, 1, 2, 1, 0, 0, 4, 1, 4, 2, 2, 2, 0, 3, 2, 1, 0, 4, 1, 1, 0, 1, 2, 1, 0, 1, 3, 3, 4, 1, 4, 1, 0, 4, 1, 1, 3, 2, 1, 0, 4, 0, 4, 4, 2, 3, 4, 2, 0, 1, 1, 3, 3, 3, 2, 0, 3, 2, 0, 0, 4, 2, 0, 1, 3, 2, 1, 3, 4, 2, 2, 1, 1, 3, 2, 4, 4, 3, 0, 3, 3, 0, 3, 1, 3, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 4, 4, 4, 4, 0, 4, 2, 0, 2, 0, 3, 3, 1, 4, 2, 1, 4, 4, 4, 1, 3, 1, 3, 0, 2, 0, 4, 2, 3, 1, 0, 1, 2, 3, 3, 3, 4, 0, 2, 4, 0, 0, 0, 0, 1, 3, 3, 1, 2, 1, 1, 2, 0, 1, 4, 1, 4, 3, 0, 2, 4, 4, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 4, 1, 2, 4, 4, 2, 0, 0, 3, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 4, 3, 0, 3, 0, 3, 1, 0, 0, 0, 0, 1, 2, 0, 3, 1, 4, 0, 2, 1, 2, 2, 2, 0, 3, 0, 3, 4, 2, 0, 0, 3, 1, 0, 1, 2, 2, 2, 4, 1, 2, 2, 1, 4, 1, 2, 3, 0, 4, 1, 4, 1, 4, 2, 4, 1, 2, 0, 4, 2, 3, 1, 1, 1, 1, 4, 2, 0, 1, 2, 3, 2, 4, 3, 4, 3, 4, 0, 4, 0, 1, 0, 4, 1, 1, 0, 3, 1, 3, 0, 2, 4, 1, 2, 1, 1, 3, 3, 3, 4, 1, 2, 4, 4, 4, 4, 1, 0, 3, 0, 1, 3, 1, 3, 0, 4, 4, 0, 1, 4, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 4, 0, 4, 2, 1, 3, 0, 2, 4]
pubkeycol625 = [1, 2, 0, 0, 4, 0, 0, 2, 1, 0, 2, 2, 2, 3, 0, 3, 2, 0, 3, 1, 4, 2, 0, 4, 4, 1, 0, 1, 3, 2, 3, 4, 1, 1, 4, 0, 0, 1, 4, 0, 3, 4, 4, 2, 0, 1, 0, 3, 0, 1, 2, 4, 1, 1, 2, 4, 4, 1, 3, 2, 2, 0, 0, 0, 0, 4, 0, 3, 4, 3, 0, 3, 2, 4, 0, 4, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 4, 2, 3, 1, 4, 0, 1, 2, 0, 2, 4, 4, 4, 4, 0, 4, 1, 3, 0, 0, 1, 2, 3, 4, 4, 1, 2, 1, 0, 1, 3, 3, 0, 2, 2, 3, 1, 3, 2, 0, 3, 2, 0, 0, 3, 0, 2, 2, 2, 0, 2, 1, 0, 1, 4, 0, 2, 2, 3, 2, 0, 4, 4, 3, 2, 4, 4, 0, 2, 2, 1, 4, 4, 3, 3, 2, 4, 2, 4, 4, 4, 3, 4, 0, 1, 1, 3, 1, 3, 0, 1, 1, 2, 4, 0, 0, 1, 3, 0, 3, 0, 3, 0, 4, 4, 2, 2, 1, 2, 0, 1, 3, 1, 3, 2, 2, 2, 2, 3, 3, 3, 1, 2, 4, 0, 0, 4, 4, 3, 0, 3, 1, 0, 4, 2, 3, 1, 2, 1, 3, 0, 0, 3, 3, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 3, 0, 3, 2, 4, 0, 2, 0, 1, 2, 1, 2, 1, 4, 3, 1, 2, 0, 2, 3, 1, 2, 0, 0, 2, 2, 0, 2, 4, 0, 1, 2, 2, 4, 2, 4, 4, 4, 1, 4, 1, 3, 4, 2, 3, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 3, 4, 3, 2, 4, 4, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 3, 2, 3, 2, 4, 2, 4, 3, 4, 0, 2, 0, 3, 1, 3, 4, 3, 3, 2, 0, 0, 4, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 4, 2, 1, 2, 3, 0, 4, 1, 4, 2, 1, 4, 3, 0, 4, 0, 1, 3, 4, 0, 2, 1, 1, 1, 1, 0, 3, 3, 2, 0, 0, 0, 1, 2, 1, 1, 0, 4, 3, 3, 1, 4, 0, 0, 3, 4, 3, 2, 2, 4, 2, 1, 3, 3, 3, 1, 1, 0, 0, 2, 4, 4, 3, 4, 3, 0, 1, 3, 2, 4, 3, 0, 4, 3, 0, 0, 1, 3, 0, 1, 1, 4, 2, 0, 4, 2, 0, 0, 0, 2, 3, 2, 4, 1, 0, 3, 4, 4, 3, 3, 1, 3, 1, 3, 4, 1, 3, 1, 1, 1, 3, 4, 3, 4, 2, 0, 2, 4, 1, 1, 1, 3, 1, 0, 3, 0, 3, 0, 2, 4, 2, 2, 2, 1, 3, 0, 2, 4, 1, 3, 3, 0, 4, 4, 4, 0, 3, 3, 2, 2, 3, 3, 3, 0, 0]
pubkeycol626 = [3, 4, 3, 3, 2, 3, 1, 3, 1, 2, 2, 3, 1, 1, 0, 1, 1, 0, 2, 3, 2, 2, 2, 4, 4, 4, 1, 2, 4, 3, 1, 1, 2, 1, 1, 4, 2, 2, 0, 0, 0, 0, 0, 3, 1, 1, 2, 0, 4, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 3, 3, 2, 2, 0, 2, 4, 3, 1, 3, 3, 2, 3, 4, 0, 0, 3, 4, 0, 3, 3, 1, 3, 3, 3, 4, 4, 3, 0, 3, 4, 2, 3, 3, 0, 3, 3, 4, 3, 4, 3, 0, 4, 2, 4, 2, 0, 1, 3, 2, 2, 3, 3, 4, 3, 1, 0, 0, 2, 2, 1, 4, 2, 4, 4, 1, 0, 3, 3, 1, 4, 4, 1, 2, 2, 4, 1, 4, 3, 4, 2, 3, 0, 3, 1, 3, 2, 2, 3, 2, 2, 2, 1, 4, 0, 4, 0, 0, 2, 1, 0, 1, 3, 3, 2, 3, 1, 4, 3, 0, 3, 3, 2, 3, 4, 3, 0, 2, 2, 4, 1, 2, 3, 1, 0, 2, 4, 3, 2, 1, 0, 4, 2, 0, 3, 3, 3, 2, 2, 3, 1, 3, 3, 0, 2, 2, 2, 0, 0, 4, 3, 4, 3, 0, 4, 0, 0, 4, 4, 2, 3, 3, 3, 0, 2, 2, 0, 3, 4, 1, 3, 2, 2, 1, 2, 3, 0, 3, 4, 4, 3, 0, 1, 3, 3, 2, 2, 1, 0, 2, 3, 3, 0, 2, 4, 3, 0, 1, 2, 2, 4, 4, 3, 1, 4, 0, 4, 4, 0, 0, 0, 0, 1, 3, 3, 2, 2, 4, 1, 2, 1, 0, 0, 4, 0, 3, 1, 0, 4, 3, 1, 4, 2, 1, 0, 1, 0, 1, 0, 2, 0, 4, 2, 4, 2, 0, 2, 1, 2, 3, 4, 4, 1, 2, 4, 3, 3, 0, 1, 4, 4, 0, 2, 0, 1, 3, 0, 4, 1, 4, 1, 3, 3, 2, 1, 1, 2, 2, 1, 4, 2, 3, 3, 4, 3, 4, 2, 3, 1, 2, 0, 1, 4, 2, 0, 4, 4, 0, 2, 4, 2, 2, 4, 0, 1, 1, 3, 0, 4, 2, 0, 1, 3, 2, 3, 0, 2, 1, 3, 3, 0, 3, 3, 3, 4, 2, 3, 2, 2, 3, 2, 2, 3, 1, 4, 0, 3, 0, 3, 2, 1, 0, 2, 4, 3, 2, 3, 4, 2, 0, 1, 0, 2, 3, 1, 1, 2, 1, 2, 1, 4, 4, 1, 2, 4, 0, 0, 0, 3, 0, 4, 2, 3, 3, 2, 1, 3, 1, 0, 3, 0, 4, 3, 2, 1, 0, 0, 2, 4, 1, 3, 2, 3, 1, 4, 2, 3, 1, 1, 3, 1, 3, 0, 3, 0, 3, 0, 1, 1, 1, 3, 2, 1, 4, 4, 0, 1, 2, 4, 2, 2, 2, 4, 0, 1, 2, 1, 4, 2, 2, 4, 2, 4, 1, 0, 2, 0, 4, 3, 2, 2, 1, 4]
pubkeycol627 = [0, 4, 4, 3, 2, 0, 2, 1, 4, 3, 4, 3, 2, 3, 3, 3, 3, 4, 4, 3, 3, 2, 0, 4, 4, 3, 0, 1, 0, 3, 1, 0, 0, 1, 4, 0, 2, 3, 0, 1, 1, 1, 4, 0, 2, 2, 2, 4, 0, 4, 0, 0, 1, 0, 3, 0, 4, 3, 1, 3, 0, 1, 2, 4, 0, 0, 4, 0, 0, 1, 0, 3, 2, 0, 1, 3, 0, 0, 3, 3, 2, 4, 0, 1, 2, 4, 3, 1, 0, 3, 4, 1, 2, 1, 3, 2, 0, 1, 3, 4, 0, 3, 4, 4, 2, 4, 3, 3, 4, 4, 0, 4, 0, 2, 0, 0, 1, 1, 3, 4, 2, 1, 2, 2, 0, 0, 3, 3, 0, 2, 2, 3, 4, 0, 4, 0, 4, 1, 3, 4, 0, 3, 2, 2, 0, 2, 1, 1, 4, 0, 3, 2, 4, 1, 3, 3, 3, 4, 3, 1, 1, 3, 3, 4, 2, 4, 1, 2, 3, 0, 2, 2, 0, 0, 4, 3, 2, 2, 2, 3, 1, 3, 4, 4, 2, 0, 0, 1, 0, 1, 1, 1, 4, 2, 0, 1, 0, 2, 4, 4, 3, 3, 1, 3, 0, 3, 2, 2, 1, 0, 3, 4, 3, 2, 4, 0, 4, 2, 0, 3, 1, 4, 1, 4, 3, 4, 0, 4, 3, 2, 3, 1, 4, 0, 2, 2, 2, 3, 1, 3, 1, 2, 1, 4, 1, 0, 3, 2, 1, 2, 4, 3, 2, 2, 4, 3, 2, 2, 2, 0, 3, 3, 4, 2, 3, 4, 2, 1, 4, 3, 2, 3, 3, 2, 3, 4, 4, 3, 4, 0, 2, 3, 3, 0, 4, 4, 0, 3, 1, 1, 4, 3, 4, 0, 4, 3, 2, 4, 4, 4, 1, 4, 2, 3, 4, 1, 0, 4, 2, 4, 4, 4, 2, 1, 1, 4, 1, 3, 2, 4, 2, 3, 3, 1, 2, 3, 1, 3, 4, 0, 0, 0, 4, 4, 0, 1, 1, 1, 4, 4, 2, 2, 1, 3, 3, 0, 2, 1, 1, 4, 3, 1, 4, 2, 1, 3, 3, 2, 0, 0, 4, 4, 2, 2, 1, 3, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 4, 3, 2, 3, 0, 4, 2, 4, 3, 3, 2, 0, 1, 3, 4, 3, 0, 0, 4, 1, 0, 0, 2, 0, 1, 0, 3, 2, 3, 3, 2, 3, 3, 3, 3, 3, 2, 0, 3, 4, 0, 1, 4, 3, 1, 1, 1, 0, 2, 1, 1, 0, 4, 2, 1, 4, 1, 3, 2, 3, 1, 3, 0, 3, 1, 3, 4, 1, 3, 2, 0, 0, 0, 4, 4, 4, 1, 2, 0, 3, 3, 4, 2, 3, 1, 2, 4, 1, 0, 1, 4, 4, 1, 1, 4, 3, 3, 3, 3, 2, 3, 3, 0, 1, 1, 4, 1, 2, 4, 4, 0, 4, 3, 0, 3, 1, 3, 0, 1, 3, 0, 0, 3]
pubkeycol628 = [4, 4, 0, 2, 0, 1, 1, 0, 2, 2, 4, 0, 2, 4, 4, 2, 1, 4, 2, 2, 3, 4, 0, 4, 1, 0, 2, 3, 1, 2, 3, 0, 0, 3, 4, 4, 3, 2, 1, 4, 0, 1, 2, 1, 0, 0, 3, 1, 2, 0, 3, 2, 2, 1, 2, 0, 2, 3, 4, 2, 4, 3, 0, 4, 1, 0, 3, 0, 3, 4, 2, 4, 0, 4, 2, 4, 3, 2, 3, 4, 1, 3, 4, 0, 4, 4, 1, 2, 1, 0, 2, 1, 4, 2, 2, 4, 2, 0, 2, 0, 0, 2, 0, 0, 3, 4, 0, 3, 0, 4, 1, 1, 4, 2, 2, 2, 3, 2, 1, 4, 2, 4, 2, 0, 1, 1, 4, 4, 4, 0, 0, 4, 4, 3, 0, 2, 0, 3, 2, 0, 3, 4, 4, 0, 4, 3, 0, 4, 1, 4, 0, 3, 1, 3, 0, 4, 1, 4, 3, 2, 0, 3, 3, 3, 4, 1, 0, 2, 4, 2, 0, 3, 1, 4, 1, 0, 0, 0, 2, 3, 4, 3, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 4, 4, 0, 2, 4, 4, 4, 1, 3, 3, 0, 1, 3, 1, 2, 4, 1, 0, 4, 3, 4, 4, 3, 3, 1, 0, 3, 4, 3, 1, 1, 1, 3, 2, 2, 2, 3, 3, 3, 0, 1, 2, 3, 1, 2, 3, 3, 2, 4, 4, 0, 2, 3, 2, 2, 2, 2, 1, 4, 1, 1, 3, 4, 0, 4, 4, 3, 0, 4, 3, 3, 0, 1, 2, 3, 0, 0, 3, 3, 1, 4, 3, 4, 0, 3, 0, 2, 0, 1, 2, 1, 4, 3, 4, 2, 1, 3, 1, 3, 2, 4, 0, 0, 2, 4, 2, 1, 0, 4, 3, 4, 0, 3, 4, 0, 1, 2, 2, 2, 3, 1, 1, 1, 2, 4, 4, 3, 3, 4, 4, 1, 1, 3, 4, 1, 0, 2, 0, 0, 0, 3, 1, 0, 2, 0, 3, 3, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 1, 1, 3, 2, 1, 2, 1, 2, 3, 2, 3, 3, 0, 0, 0, 3, 3, 2, 1, 2, 4, 2, 3, 2, 1, 0, 3, 2, 1, 3, 2, 2, 4, 3, 2, 1, 4, 3, 1, 4, 3, 4, 4, 0, 2, 1, 4, 2, 1, 3, 1, 3, 0, 1, 4, 3, 2, 3, 2, 1, 3, 4, 3, 0, 2, 1, 4, 4, 2, 0, 3, 4, 3, 4, 4, 1, 1, 2, 4, 0, 1, 2, 0, 4, 3, 0, 4, 1, 0, 3, 2, 2, 1, 0, 4, 0, 4, 1, 4, 0, 0, 0, 2, 3, 3, 1, 4, 4, 1, 2, 0, 0, 3, 4, 2, 4, 1, 3, 2, 3, 3, 3, 0, 1, 0, 4, 4, 2, 2, 3, 3, 0, 1, 1, 2, 1, 2, 2, 3, 4, 3, 3, 2, 4, 0, 0, 3, 1, 3, 4, 0, 1, 2, 4]
pubkeycol629 = [0, 0, 1, 3, 4, 0, 1, 2, 1, 0, 0, 1, 2, 0, 4, 3, 2, 1, 0, 4, 0, 3, 4, 2, 2, 1, 0, 2, 2, 1, 2, 1, 4, 4, 3, 3, 2, 0, 1, 0, 4, 3, 1, 4, 1, 3, 0, 1, 2, 4, 0, 4, 2, 2, 0, 2, 4, 4, 3, 1, 4, 2, 1, 4, 0, 2, 2, 0, 0, 1, 0, 3, 1, 3, 2, 4, 4, 3, 1, 2, 1, 3, 4, 2, 3, 3, 1, 0, 4, 2, 4, 4, 4, 3, 3, 0, 0, 4, 4, 4, 2, 2, 4, 1, 0, 0, 3, 1, 0, 1, 1, 0, 4, 3, 3, 3, 0, 2, 3, 3, 4, 2, 2, 3, 1, 1, 2, 2, 2, 0, 1, 0, 3, 4, 1, 3, 4, 3, 4, 0, 1, 4, 1, 3, 4, 2, 1, 0, 4, 2, 3, 2, 2, 3, 3, 0, 0, 2, 1, 4, 4, 4, 3, 4, 2, 0, 4, 0, 1, 2, 4, 2, 3, 3, 4, 1, 4, 0, 1, 0, 2, 0, 3, 1, 0, 2, 1, 2, 2, 1, 1, 1, 3, 3, 2, 0, 0, 4, 1, 4, 2, 4, 1, 1, 1, 2, 4, 2, 3, 1, 0, 0, 2, 1, 0, 0, 3, 1, 0, 2, 1, 2, 4, 3, 3, 4, 3, 3, 4, 4, 1, 1, 3, 3, 3, 1, 1, 2, 4, 3, 4, 2, 3, 4, 0, 2, 2, 4, 3, 1, 2, 0, 4, 1, 1, 2, 1, 2, 1, 2, 2, 4, 1, 1, 4, 4, 0, 2, 1, 0, 4, 3, 2, 2, 1, 3, 4, 0, 3, 3, 4, 0, 2, 4, 2, 3, 3, 2, 1, 4, 3, 3, 0, 4, 1, 1, 2, 2, 2, 4, 0, 4, 1, 0, 3, 1, 0, 0, 1, 2, 2, 4, 2, 1, 0, 1, 0, 0, 4, 4, 3, 3, 3, 1, 4, 0, 3, 1, 0, 0, 3, 1, 0, 2, 2, 2, 1, 2, 0, 0, 3, 3, 0, 1, 3, 1, 3, 0, 2, 0, 1, 2, 4, 1, 0, 3, 4, 1, 3, 1, 3, 2, 1, 0, 4, 1, 1, 4, 2, 3, 3, 2, 3, 4, 4, 3, 0, 4, 2, 1, 3, 0, 3, 3, 0, 3, 0, 3, 2, 3, 1, 2, 2, 0, 4, 1, 4, 4, 2, 0, 1, 4, 3, 0, 0, 2, 3, 2, 1, 1, 2, 4, 1, 4, 3, 2, 4, 4, 1, 1, 4, 0, 4, 0, 1, 1, 1, 1, 0, 3, 4, 2, 2, 0, 2, 4, 2, 4, 0, 2, 0, 4, 4, 4, 0, 2, 0, 2, 0, 1, 4, 3, 4, 2, 3, 3, 1, 0, 3, 2, 0, 3, 1, 3, 1, 0, 3, 3, 2, 4, 2, 2, 1, 0, 1, 4, 1, 3, 3, 4, 2, 1, 4, 4, 1, 1, 1, 3, 1, 2, 3, 2, 0, 4, 0, 1, 1, 0, 0, 3, 3, 0, 1, 1, 3]
pubkeycol630 = [2, 1, 4, 0, 1, 2, 4, 2, 4, 0, 4, 4, 0, 0, 2, 4, 3, 4, 3, 2, 0, 1, 0, 4, 3, 0, 2, 3, 0, 0, 3, 1, 0, 4, 1, 1, 1, 4, 2, 1, 1, 0, 2, 0, 0, 3, 1, 1, 1, 3, 0, 4, 3, 4, 4, 2, 4, 4, 2, 4, 3, 3, 3, 1, 1, 3, 4, 3, 1, 2, 4, 2, 0, 4, 0, 1, 2, 2, 4, 1, 4, 1, 3, 3, 3, 4, 3, 2, 2, 4, 1, 1, 1, 1, 4, 1, 1, 1, 1, 2, 4, 2, 3, 4, 3, 4, 0, 3, 1, 2, 3, 3, 2, 2, 3, 2, 4, 1, 1, 2, 3, 2, 0, 2, 2, 2, 0, 3, 0, 3, 4, 3, 4, 1, 2, 1, 3, 3, 3, 2, 3, 1, 0, 2, 1, 4, 0, 3, 3, 2, 1, 2, 3, 2, 4, 1, 3, 4, 4, 0, 4, 3, 4, 4, 0, 1, 4, 1, 0, 0, 1, 1, 2, 1, 2, 3, 0, 1, 0, 0, 1, 3, 0, 2, 2, 0, 2, 0, 3, 4, 0, 2, 1, 1, 1, 3, 4, 3, 4, 2, 3, 1, 3, 2, 0, 3, 4, 2, 4, 4, 2, 2, 1, 2, 0, 2, 3, 4, 4, 3, 4, 2, 1, 0, 1, 1, 4, 1, 1, 4, 2, 2, 4, 4, 1, 4, 4, 1, 3, 0, 0, 4, 4, 0, 2, 0, 1, 3, 0, 0, 4, 1, 2, 4, 0, 2, 0, 1, 4, 2, 2, 3, 0, 3, 1, 1, 2, 0, 4, 3, 2, 0, 1, 1, 0, 0, 3, 2, 4, 0, 4, 1, 1, 2, 0, 2, 2, 2, 2, 2, 3, 0, 3, 1, 4, 1, 3, 3, 3, 4, 0, 4, 2, 2, 2, 4, 1, 2, 1, 0, 2, 3, 4, 2, 4, 0, 4, 3, 3, 4, 0, 2, 4, 0, 3, 4, 1, 4, 4, 3, 2, 2, 3, 4, 2, 3, 2, 4, 1, 4, 3, 3, 0, 0, 2, 4, 3, 0, 3, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 3, 1, 0, 1, 1, 1, 4, 4, 0, 2, 2, 4, 1, 1, 0, 4, 1, 3, 0, 4, 0, 3, 3, 3, 4, 4, 3, 1, 2, 1, 2, 2, 1, 1, 3, 4, 2, 1, 4, 0, 3, 4, 0, 3, 4, 4, 3, 1, 0, 2, 1, 3, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 4, 0, 0, 3, 4, 2, 1, 1, 1, 1, 1, 3, 2, 2, 0, 2, 2, 2, 2, 2, 4, 0, 3, 2, 3, 4, 3, 1, 2, 0, 2, 0, 2, 1, 1, 4, 2, 1, 4, 2, 2, 4, 4, 0, 3, 3, 3, 0, 3, 2, 1, 4, 2, 2, 1, 4, 2, 0, 0, 3, 4, 3, 3, 4, 4, 1, 2, 4, 1, 4, 0, 3, 1, 2, 3, 1, 1, 2, 0]
pubkeycol631 = [3, 4, 2, 3, 2, 2, 2, 3, 3, 2, 2, 1, 2, 0, 3, 2, 2, 2, 0, 3, 2, 3, 0, 0, 2, 1, 2, 3, 1, 2, 1, 2, 1, 0, 4, 1, 1, 4, 2, 2, 4, 1, 2, 4, 4, 1, 2, 3, 3, 3, 2, 0, 1, 3, 2, 1, 0, 2, 4, 0, 2, 0, 1, 4, 0, 3, 2, 4, 2, 4, 4, 4, 1, 3, 1, 2, 0, 2, 0, 2, 2, 2, 3, 1, 0, 2, 2, 0, 4, 4, 1, 4, 3, 3, 2, 1, 1, 4, 0, 2, 3, 4, 1, 4, 4, 2, 1, 1, 0, 2, 1, 2, 3, 1, 4, 1, 3, 0, 3, 2, 3, 4, 3, 2, 4, 1, 1, 1, 3, 3, 4, 0, 3, 4, 4, 3, 2, 0, 4, 4, 1, 2, 3, 0, 4, 0, 4, 0, 4, 0, 1, 3, 1, 4, 2, 3, 2, 1, 2, 1, 0, 3, 3, 2, 1, 4, 4, 3, 3, 0, 4, 4, 2, 3, 1, 2, 4, 0, 4, 1, 0, 3, 3, 1, 1, 1, 0, 0, 2, 2, 4, 1, 1, 0, 2, 1, 0, 3, 3, 1, 4, 4, 2, 3, 0, 2, 3, 4, 3, 1, 2, 0, 1, 2, 2, 3, 2, 1, 0, 2, 1, 4, 2, 0, 4, 4, 0, 2, 2, 0, 2, 1, 1, 0, 4, 4, 1, 3, 1, 3, 2, 3, 1, 0, 4, 3, 0, 2, 0, 0, 2, 3, 2, 1, 4, 2, 3, 3, 3, 2, 4, 0, 2, 4, 4, 3, 1, 4, 1, 0, 3, 2, 3, 2, 3, 2, 3, 0, 2, 3, 4, 1, 4, 3, 4, 4, 3, 1, 0, 4, 0, 2, 3, 2, 3, 2, 1, 1, 0, 3, 2, 3, 1, 4, 4, 4, 4, 3, 0, 3, 2, 3, 4, 0, 4, 4, 4, 1, 2, 0, 1, 0, 3, 4, 4, 4, 2, 3, 2, 2, 1, 4, 3, 2, 4, 4, 1, 4, 2, 2, 3, 2, 3, 0, 1, 1, 0, 1, 0, 3, 1, 0, 0, 0, 0, 0, 2, 3, 4, 0, 3, 0, 1, 4, 4, 0, 4, 0, 1, 3, 0, 3, 3, 4, 1, 4, 2, 0, 1, 1, 2, 1, 4, 1, 0, 3, 0, 1, 3, 3, 0, 3, 4, 1, 4, 0, 0, 4, 3, 1, 4, 3, 4, 4, 0, 1, 2, 1, 3, 1, 2, 2, 3, 1, 1, 0, 0, 2, 4, 4, 1, 2, 2, 1, 2, 4, 3, 3, 1, 1, 0, 0, 4, 3, 2, 0, 1, 3, 2, 0, 0, 1, 0, 2, 0, 1, 1, 3, 1, 2, 2, 1, 3, 0, 1, 0, 2, 4, 4, 1, 4, 0, 2, 2, 3, 3, 1, 2, 0, 3, 0, 2, 4, 0, 1, 0, 0, 4, 3, 0, 3, 1, 2, 0, 3, 2, 1, 0, 3, 1, 4, 4, 1, 3, 3, 1, 2, 1, 2, 1, 4, 4, 4, 2, 2]
pubkeycol632 = [0, 4, 2, 0, 4, 4, 1, 1, 3, 4, 2, 4, 0, 1, 3, 0, 1, 3, 1, 2, 2, 4, 0, 3, 0, 4, 3, 2, 3, 4, 2, 0, 1, 4, 4, 2, 3, 3, 3, 1, 4, 0, 3, 0, 2, 1, 0, 0, 3, 4, 2, 2, 4, 4, 1, 0, 0, 1, 2, 1, 0, 1, 3, 3, 3, 4, 3, 4, 1, 2, 0, 2, 1, 0, 4, 2, 3, 0, 3, 2, 4, 2, 4, 4, 2, 1, 0, 3, 3, 2, 0, 2, 0, 2, 3, 1, 4, 0, 4, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 3, 4, 0, 2, 1, 3, 2, 4, 0, 1, 2, 2, 3, 3, 1, 0, 1, 1, 3, 3, 3, 1, 4, 1, 4, 2, 1, 2, 4, 2, 4, 4, 4, 0, 3, 4, 3, 4, 2, 2, 2, 4, 1, 0, 4, 4, 3, 0, 3, 0, 3, 0, 4, 2, 3, 2, 1, 4, 4, 3, 1, 2, 0, 3, 2, 4, 0, 0, 2, 1, 2, 4, 4, 0, 4, 0, 1, 2, 4, 1, 2, 0, 2, 2, 0, 4, 3, 4, 1, 0, 0, 0, 4, 4, 2, 4, 0, 2, 4, 1, 1, 3, 4, 2, 1, 2, 0, 3, 0, 2, 2, 2, 2, 4, 4, 2, 4, 3, 2, 1, 4, 0, 1, 3, 1, 0, 0, 1, 4, 1, 4, 2, 0, 1, 4, 0, 4, 3, 4, 0, 1, 1, 4, 3, 0, 2, 4, 0, 4, 3, 2, 0, 4, 1, 2, 2, 1, 2, 2, 0, 3, 0, 3, 1, 4, 4, 1, 0, 3, 2, 4, 3, 2, 4, 3, 1, 2, 3, 4, 3, 4, 1, 3, 4, 4, 2, 1, 4, 4, 0, 4, 2, 3, 1, 1, 3, 2, 2, 3, 0, 1, 2, 3, 3, 2, 2, 2, 0, 2, 4, 4, 0, 3, 2, 1, 0, 2, 2, 3, 4, 2, 4, 4, 2, 1, 0, 3, 3, 0, 2, 2, 1, 4, 3, 2, 3, 0, 4, 1, 1, 3, 0, 1, 1, 3, 3, 0, 1, 2, 4, 0, 0, 2, 3, 0, 0, 3, 1, 0, 0, 4, 2, 3, 2, 1, 3, 3, 2, 1, 1, 4, 4, 0, 1, 1, 1, 1, 3, 0, 0, 0, 1, 3, 1, 1, 2, 3, 2, 1, 2, 4, 4, 3, 0, 4, 2, 1, 3, 1, 4, 4, 0, 1, 4, 4, 0, 2, 0, 1, 4, 0, 0, 3, 4, 4, 4, 3, 2, 2, 2, 0, 3, 1, 4, 2, 0, 3, 4, 4, 3, 3, 2, 3, 0, 2, 0, 3, 2, 4, 4, 3, 2, 1, 3, 3, 3, 0, 2, 1, 2, 1, 2, 0, 2, 4, 4, 1, 4, 3, 4, 3, 2, 1, 4, 3, 2, 2, 4, 4, 3, 4, 2, 1, 4, 4, 4, 3, 3, 1, 3, 4, 0, 1, 4, 2]
pubkeycol633 = [2, 2, 1, 0, 2, 1, 3, 0, 3, 3, 1, 0, 2, 1, 4, 1, 0, 1, 3, 1, 1, 2, 1, 0, 0, 1, 3, 0, 1, 4, 3, 0, 4, 1, 4, 4, 2, 4, 1, 4, 3, 2, 3, 4, 4, 0, 2, 0, 2, 0, 1, 3, 3, 1, 1, 3, 2, 3, 1, 4, 2, 0, 0, 4, 4, 1, 3, 0, 2, 3, 4, 1, 0, 2, 4, 2, 4, 3, 0, 2, 3, 0, 4, 2, 4, 1, 4, 3, 2, 3, 2, 3, 1, 4, 4, 0, 1, 4, 3, 1, 1, 1, 2, 4, 0, 4, 4, 3, 3, 0, 2, 3, 2, 3, 2, 1, 4, 3, 2, 2, 3, 0, 2, 2, 4, 1, 2, 0, 3, 1, 1, 2, 3, 4, 0, 1, 0, 3, 2, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 0, 4, 3, 2, 2, 3, 2, 4, 0, 3, 1, 1, 3, 1, 2, 4, 0, 4, 1, 0, 2, 0, 4, 2, 4, 4, 4, 0, 1, 4, 3, 2, 0, 0, 0, 3, 2, 1, 2, 2, 0, 4, 3, 1, 3, 3, 0, 2, 0, 4, 0, 4, 3, 0, 2, 2, 2, 2, 1, 3, 1, 4, 2, 2, 1, 1, 2, 4, 4, 0, 1, 0, 3, 3, 3, 2, 0, 4, 3, 3, 3, 0, 1, 2, 3, 4, 0, 3, 1, 0, 1, 4, 3, 1, 4, 3, 2, 1, 4, 4, 3, 4, 2, 3, 2, 0, 4, 3, 3, 4, 2, 3, 4, 4, 1, 4, 3, 2, 0, 4, 3, 3, 1, 1, 3, 0, 4, 1, 4, 3, 4, 3, 0, 3, 1, 3, 4, 0, 2, 4, 4, 0, 1, 3, 1, 2, 3, 3, 2, 0, 4, 2, 4, 3, 3, 3, 0, 3, 4, 2, 1, 1, 2, 0, 2, 2, 1, 4, 3, 0, 0, 3, 3, 4, 0, 2, 0, 3, 2, 0, 3, 1, 4, 3, 2, 3, 0, 2, 0, 3, 3, 3, 1, 1, 1, 4, 4, 2, 2, 0, 2, 1, 4, 2, 3, 0, 2, 1, 3, 1, 0, 0, 4, 4, 2, 0, 3, 1, 2, 3, 3, 4, 2, 4, 4, 3, 1, 4, 2, 4, 1, 4, 0, 1, 2, 2, 3, 1, 2, 0, 3, 1, 0, 3, 3, 2, 1, 4, 4, 3, 0, 3, 0, 4, 3, 4, 3, 4, 0, 4, 4, 0, 2, 2, 2, 0, 4, 2, 1, 2, 3, 0, 1, 4, 3, 1, 1, 1, 4, 1, 1, 2, 1, 0, 4, 4, 0, 0, 4, 4, 1, 4, 0, 1, 2, 3, 1, 3, 2, 0, 4, 0, 0, 4, 4, 0, 2, 2, 4, 2, 0, 4, 4, 2, 3, 1, 1, 3, 0, 2, 0, 4, 0, 2, 1, 1, 1, 0, 2, 3, 1, 0, 2, 0, 1, 2, 1, 1, 3, 3, 4, 0, 2, 0, 0, 2, 1, 1, 0, 4, 4, 4, 1, 3]
pubkeycol634 = [1, 4, 2, 1, 1, 3, 1, 0, 3, 3, 4, 4, 1, 2, 0, 2, 3, 4, 4, 3, 4, 4, 1, 0, 3, 4, 0, 2, 3, 2, 4, 2, 3, 1, 3, 3, 4, 1, 3, 0, 0, 4, 4, 4, 2, 4, 0, 4, 1, 0, 3, 4, 4, 0, 3, 1, 2, 1, 2, 4, 0, 3, 3, 2, 4, 2, 0, 0, 1, 2, 3, 3, 0, 1, 0, 4, 3, 0, 0, 2, 4, 3, 4, 4, 4, 2, 3, 4, 0, 2, 2, 4, 0, 2, 3, 2, 3, 0, 3, 4, 1, 0, 0, 3, 2, 4, 0, 2, 2, 1, 0, 4, 0, 4, 4, 3, 1, 1, 4, 2, 0, 2, 1, 1, 2, 1, 3, 2, 0, 1, 4, 4, 2, 0, 3, 2, 0, 1, 1, 0, 4, 1, 3, 0, 0, 0, 1, 1, 3, 0, 1, 4, 0, 0, 0, 3, 0, 0, 4, 4, 3, 4, 1, 0, 0, 4, 3, 1, 4, 0, 3, 0, 0, 2, 0, 3, 3, 1, 4, 1, 4, 2, 1, 2, 4, 3, 3, 1, 1, 2, 4, 4, 3, 1, 3, 3, 3, 3, 0, 1, 3, 2, 4, 1, 4, 4, 2, 2, 2, 4, 2, 1, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 0, 2, 2, 3, 0, 2, 4, 3, 1, 0, 2, 2, 2, 3, 0, 1, 4, 0, 2, 2, 3, 0, 2, 3, 0, 1, 3, 1, 4, 2, 1, 4, 2, 0, 0, 2, 1, 3, 3, 0, 2, 2, 4, 1, 3, 4, 4, 0, 3, 4, 3, 0, 1, 0, 4, 4, 1, 4, 0, 4, 2, 4, 2, 2, 1, 2, 3, 0, 3, 4, 0, 0, 3, 2, 1, 3, 1, 2, 1, 3, 4, 4, 0, 4, 1, 4, 2, 3, 2, 4, 4, 3, 0, 0, 3, 2, 4, 4, 4, 2, 4, 2, 4, 3, 1, 2, 3, 1, 1, 3, 2, 1, 0, 1, 1, 3, 1, 3, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 4, 0, 1, 1, 2, 2, 4, 1, 3, 4, 3, 2, 3, 3, 2, 0, 3, 0, 1, 3, 3, 0, 1, 4, 0, 2, 2, 0, 3, 2, 3, 1, 0, 1, 3, 4, 3, 4, 3, 2, 3, 3, 0, 1, 4, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 4, 0, 4, 3, 0, 2, 2, 1, 3, 2, 4, 0, 3, 1, 1, 3, 3, 3, 0, 3, 1, 3, 0, 4, 1, 3, 1, 2, 1, 4, 3, 0, 3, 0, 0, 3, 3, 1, 1, 1, 4, 0, 2, 0, 1, 4, 3, 3, 1, 0, 1, 2, 1, 3, 1, 0, 4, 1, 3, 2, 4, 4, 0, 4, 0, 4, 3, 3, 3, 0, 2, 0, 4, 4, 4, 4, 3, 0, 4, 1, 1, 1, 0, 1, 0, 1, 3, 4, 4, 1, 1, 2, 4, 0, 1, 3, 3, 2]
pubkeycol635 = [4, 2, 0, 3, 2, 4, 1, 4, 2, 2, 1, 2, 2, 3, 2, 0, 1, 3, 2, 3, 1, 3, 2, 4, 2, 0, 1, 4, 3, 1, 2, 4, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 4, 0, 3, 3, 3, 4, 2, 1, 4, 2, 3, 2, 4, 3, 0, 3, 3, 2, 0, 4, 0, 0, 4, 2, 0, 1, 4, 1, 3, 4, 3, 0, 0, 4, 3, 2, 2, 3, 4, 0, 1, 0, 1, 3, 4, 1, 2, 3, 4, 3, 0, 0, 3, 1, 1, 2, 4, 4, 4, 0, 0, 0, 0, 4, 2, 0, 1, 1, 0, 0, 0, 4, 0, 1, 4, 0, 2, 3, 4, 3, 1, 3, 3, 4, 3, 4, 0, 1, 4, 2, 1, 2, 1, 2, 1, 1, 3, 0, 2, 0, 1, 4, 3, 3, 1, 4, 0, 3, 0, 3, 4, 1, 2, 4, 4, 3, 0, 0, 4, 3, 1, 3, 1, 0, 2, 3, 2, 3, 4, 3, 1, 3, 2, 1, 4, 2, 4, 3, 3, 3, 1, 4, 2, 2, 0, 2, 3, 2, 3, 1, 2, 0, 2, 3, 2, 2, 4, 2, 3, 2, 3, 2, 0, 0, 0, 3, 1, 0, 4, 3, 0, 2, 2, 2, 0, 1, 1, 2, 3, 3, 0, 4, 0, 1, 0, 2, 4, 2, 3, 3, 4, 1, 1, 1, 2, 0, 0, 1, 0, 3, 3, 3, 2, 4, 2, 3, 1, 0, 1, 0, 1, 4, 4, 2, 2, 2, 2, 4, 4, 0, 1, 1, 4, 4, 2, 4, 4, 3, 2, 3, 0, 3, 3, 4, 3, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 3, 3, 0, 1, 1, 4, 0, 3, 1, 4, 2, 3, 4, 1, 3, 2, 0, 0, 2, 4, 2, 4, 0, 1, 4, 0, 3, 0, 2, 1, 0, 2, 2, 4, 3, 4, 3, 1, 0, 3, 4, 3, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 4, 1, 3, 1, 4, 3, 1, 0, 0, 4, 3, 0, 1, 3, 2, 2, 3, 0, 1, 1, 1, 4, 4, 3, 4, 2, 4, 4, 0, 0, 4, 2, 0, 4, 2, 3, 1, 0, 0, 1, 0, 2, 2, 3, 3, 2, 1, 1, 1, 3, 0, 2, 0, 4, 2, 2, 1, 0, 2, 2, 2, 3, 0, 1, 1, 0, 4, 1, 3, 0, 0, 2, 4, 4, 4, 1, 4, 2, 0, 4, 4, 0, 0, 2, 3, 0, 1, 2, 3, 0, 4, 3, 3, 3, 0, 1, 0, 0, 4, 2, 3, 4, 3, 2, 4, 1, 4, 4, 3, 3, 4, 4, 1, 0, 2, 3, 1, 0, 2, 3, 0, 2, 2, 1, 4, 4, 0, 3, 2, 4, 4, 1, 3, 2, 0, 2, 1, 1, 0, 3, 0, 3, 4, 0, 1, 4, 4, 0, 4, 2, 1, 1, 0, 0, 3, 2, 3, 2, 3, 2, 0, 1]
pubkeycol636 = [1, 1, 0, 4, 3, 3, 1, 3, 4, 2, 3, 3, 3, 4, 2, 4, 2, 1, 2, 4, 3, 2, 3, 1, 0, 3, 2, 3, 3, 4, 0, 1, 2, 1, 4, 1, 2, 2, 4, 3, 1, 1, 2, 0, 2, 1, 4, 3, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 4, 1, 3, 3, 2, 3, 1, 2, 3, 1, 2, 2, 4, 0, 3, 1, 3, 2, 0, 0, 0, 4, 2, 0, 4, 3, 0, 1, 0, 0, 3, 0, 3, 4, 0, 3, 4, 1, 3, 3, 2, 0, 4, 4, 3, 2, 0, 2, 1, 2, 0, 2, 1, 1, 4, 1, 1, 1, 2, 2, 3, 3, 2, 3, 3, 4, 3, 1, 1, 0, 4, 3, 1, 3, 3, 1, 2, 3, 4, 0, 3, 0, 0, 2, 2, 1, 1, 0, 4, 2, 3, 4, 4, 1, 1, 2, 4, 1, 1, 1, 3, 2, 1, 4, 1, 1, 2, 2, 4, 1, 0, 1, 4, 3, 1, 2, 4, 2, 2, 1, 1, 4, 4, 3, 4, 1, 2, 4, 4, 4, 3, 1, 3, 1, 2, 2, 2, 4, 2, 4, 4, 0, 3, 1, 4, 3, 1, 2, 4, 4, 1, 0, 0, 3, 3, 0, 1, 1, 2, 0, 3, 1, 4, 2, 4, 0, 0, 2, 1, 1, 4, 2, 1, 4, 2, 1, 4, 3, 2, 0, 3, 3, 4, 4, 1, 3, 3, 0, 4, 3, 2, 2, 0, 0, 0, 4, 2, 0, 2, 1, 2, 2, 4, 1, 4, 2, 1, 0, 4, 2, 2, 4, 1, 4, 4, 3, 2, 2, 3, 3, 0, 0, 3, 4, 2, 1, 2, 4, 1, 1, 3, 0, 3, 4, 1, 4, 1, 4, 1, 1, 4, 2, 1, 3, 3, 2, 2, 4, 3, 0, 2, 3, 2, 1, 0, 0, 4, 4, 2, 4, 0, 4, 4, 3, 1, 3, 0, 1, 4, 3, 1, 2, 0, 0, 1, 1, 2, 1, 3, 0, 3, 1, 1, 3, 1, 3, 2, 3, 0, 1, 2, 4, 3, 4, 4, 3, 4, 1, 0, 3, 4, 2, 2, 3, 3, 4, 1, 4, 3, 3, 1, 1, 0, 1, 0, 4, 2, 2, 4, 2, 1, 4, 0, 3, 0, 3, 0, 1, 3, 3, 0, 2, 2, 4, 1, 3, 0, 3, 3, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 3, 2, 2, 3, 2, 4, 1, 3, 1, 4, 4, 3, 3, 4, 0, 1, 4, 2, 1, 1, 0, 3, 4, 2, 4, 0, 1, 0, 1, 2, 0, 3, 3, 0, 1, 0, 1, 0, 0, 1, 4, 4, 0, 4, 4, 2, 4, 3, 0, 4, 2, 0, 2, 1, 3, 4, 1, 2, 3, 4, 0, 3, 1, 2, 0, 0, 2, 3, 1, 4, 1, 3, 4, 1, 4, 1, 2, 2, 0, 3, 1, 4, 3, 4, 4, 1, 0, 1, 0, 4, 1, 0, 3, 4, 2, 4, 3]
pubkeycol637 = [4, 0, 1, 0, 0, 4, 4, 3, 2, 0, 2, 0, 1, 0, 2, 4, 3, 3, 4, 3, 4, 0, 3, 4, 1, 3, 1, 2, 2, 4, 3, 0, 4, 4, 3, 1, 0, 0, 4, 4, 1, 2, 0, 3, 1, 4, 4, 4, 4, 0, 4, 3, 4, 0, 3, 3, 3, 3, 4, 3, 1, 1, 0, 4, 4, 4, 2, 4, 3, 1, 1, 0, 1, 3, 0, 0, 0, 2, 3, 4, 1, 4, 3, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 4, 2, 4, 0, 3, 2, 3, 4, 4, 3, 4, 4, 1, 3, 1, 2, 1, 0, 4, 3, 4, 0, 0, 3, 0, 2, 3, 2, 3, 4, 2, 1, 0, 4, 4, 0, 4, 0, 4, 4, 0, 1, 3, 3, 2, 3, 0, 1, 4, 0, 3, 3, 1, 4, 3, 4, 1, 3, 1, 3, 3, 3, 3, 1, 3, 0, 0, 4, 0, 3, 3, 4, 1, 1, 3, 0, 3, 4, 0, 1, 3, 0, 4, 2, 0, 0, 1, 4, 3, 0, 0, 4, 0, 0, 1, 2, 1, 3, 1, 4, 1, 0, 3, 2, 4, 4, 0, 2, 4, 0, 3, 0, 0, 3, 4, 1, 3, 0, 1, 4, 3, 1, 2, 2, 0, 4, 3, 2, 4, 3, 3, 0, 2, 4, 0, 3, 4, 1, 1, 0, 3, 2, 0, 3, 2, 1, 3, 0, 0, 1, 2, 0, 0, 0, 2, 1, 4, 0, 4, 2, 3, 4, 4, 4, 0, 2, 4, 3, 0, 0, 4, 4, 0, 2, 4, 3, 2, 1, 1, 0, 3, 0, 2, 2, 1, 1, 1, 4, 4, 1, 4, 2, 2, 3, 4, 1, 1, 4, 4, 1, 4, 1, 4, 1, 0, 2, 3, 2, 3, 0, 1, 1, 3, 3, 1, 3, 1, 3, 0, 2, 4, 2, 2, 3, 1, 2, 4, 0, 2, 0, 4, 3, 3, 0, 1, 4, 2, 4, 4, 3, 3, 1, 2, 2, 0, 3, 0, 4, 2, 0, 1, 4, 2, 0, 1, 1, 3, 3, 0, 0, 0, 1, 3, 0, 4, 3, 4, 1, 3, 3, 0, 0, 3, 3, 0, 1, 4, 0, 0, 4, 1, 3, 3, 2, 2, 3, 0, 1, 1, 3, 2, 1, 4, 0, 2, 3, 2, 2, 1, 2, 3, 0, 0, 0, 1, 0, 0, 1, 2, 2, 4, 2, 1, 2, 4, 0, 1, 2, 0, 4, 3, 2, 2, 2, 3, 4, 2, 4, 2, 3, 2, 0, 0, 0, 0, 1, 0, 2, 1, 3, 0, 4, 1, 2, 3, 4, 2, 0, 1, 3, 4, 1, 3, 4, 2, 1, 2, 4, 1, 4, 0, 2, 3, 0, 1, 3, 2, 1, 3, 2, 4, 4, 2, 2, 1, 1, 4, 1, 0, 0, 1, 0, 4, 1, 2, 3, 4, 3, 2, 3, 0, 2, 4, 3, 4, 0, 4, 1, 4, 2, 4, 2, 2, 2, 3, 2, 2]
pubkeycol638 = [4, 0, 4, 2, 2, 0, 1, 4, 1, 1, 1, 0, 0, 4, 1, 0, 4, 2, 4, 4, 3, 0, 1, 4, 1, 2, 3, 2, 0, 3, 0, 1, 1, 0, 3, 1, 2, 3, 3, 0, 3, 3, 3, 0, 3, 2, 3, 4, 0, 2, 4, 1, 1, 3, 3, 1, 2, 4, 3, 3, 2, 3, 1, 2, 3, 2, 0, 3, 1, 0, 1, 1, 2, 0, 4, 2, 1, 4, 3, 1, 0, 3, 4, 4, 0, 2, 3, 3, 1, 3, 4, 1, 3, 4, 0, 2, 3, 3, 0, 4, 1, 1, 4, 0, 1, 3, 3, 4, 4, 1, 1, 2, 2, 3, 0, 1, 1, 3, 4, 2, 4, 2, 2, 3, 2, 1, 0, 2, 3, 4, 4, 0, 3, 0, 0, 2, 4, 0, 3, 4, 3, 2, 0, 1, 4, 3, 0, 2, 1, 2, 3, 1, 1, 0, 4, 4, 3, 0, 4, 2, 4, 1, 1, 1, 1, 2, 2, 4, 2, 4, 2, 3, 3, 4, 2, 2, 4, 4, 2, 0, 1, 2, 4, 4, 4, 4, 1, 2, 4, 2, 4, 1, 2, 0, 1, 0, 3, 4, 0, 2, 3, 0, 2, 2, 2, 0, 4, 2, 3, 3, 0, 0, 1, 2, 0, 2, 2, 2, 3, 3, 1, 4, 1, 3, 3, 1, 2, 1, 1, 1, 4, 2, 3, 0, 3, 0, 0, 1, 2, 4, 0, 1, 4, 3, 2, 4, 3, 4, 2, 2, 2, 4, 1, 0, 0, 1, 4, 0, 4, 2, 3, 1, 2, 3, 1, 0, 1, 0, 2, 3, 3, 1, 1, 0, 4, 0, 3, 1, 3, 0, 3, 1, 2, 0, 1, 0, 1, 1, 4, 1, 3, 0, 3, 4, 1, 4, 4, 4, 4, 3, 0, 3, 0, 2, 0, 3, 0, 0, 4, 4, 0, 4, 1, 3, 2, 1, 3, 2, 2, 3, 0, 4, 2, 4, 3, 1, 1, 4, 3, 3, 0, 2, 4, 0, 4, 4, 4, 3, 4, 2, 0, 4, 4, 2, 4, 2, 2, 1, 1, 1, 1, 4, 2, 2, 1, 0, 0, 1, 0, 1, 3, 4, 0, 0, 2, 3, 4, 2, 1, 3, 1, 2, 0, 2, 4, 1, 1, 0, 4, 2, 1, 4, 4, 3, 4, 1, 1, 0, 2, 0, 2, 3, 0, 1, 0, 2, 4, 1, 3, 2, 1, 2, 4, 3, 3, 1, 2, 4, 1, 4, 1, 3, 2, 0, 1, 0, 4, 2, 2, 2, 3, 1, 1, 4, 2, 2, 4, 3, 0, 2, 0, 2, 2, 3, 4, 1, 1, 4, 0, 1, 3, 0, 4, 4, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 4, 2, 3, 2, 0, 1, 3, 3, 4, 0, 1, 1, 0, 2, 3, 4, 0, 1, 2, 3, 0, 4, 3, 4, 2, 2, 0, 4, 1, 1, 0, 0, 3, 4, 3, 4, 4, 0, 0, 4, 3, 4, 1, 2, 1, 1, 4, 1, 3]
pubkeycol639 = [4, 3, 1, 0, 2, 0, 0, 3, 2, 4, 0, 1, 1, 1, 1, 1, 0, 3, 4, 2, 4, 1, 3, 0, 0, 1, 2, 4, 1, 1, 0, 1, 2, 0, 3, 3, 3, 3, 3, 4, 2, 3, 2, 1, 0, 3, 2, 4, 3, 0, 3, 2, 3, 3, 4, 1, 2, 1, 2, 2, 1, 2, 0, 0, 3, 2, 3, 0, 1, 4, 1, 2, 4, 2, 3, 3, 2, 3, 1, 2, 0, 0, 3, 3, 0, 4, 1, 1, 3, 4, 1, 3, 3, 3, 0, 4, 1, 2, 2, 2, 2, 2, 1, 3, 4, 1, 1, 0, 0, 0, 1, 2, 4, 2, 1, 3, 3, 1, 4, 3, 4, 0, 1, 0, 1, 0, 4, 4, 2, 0, 3, 0, 4, 1, 4, 2, 2, 0, 4, 4, 3, 3, 2, 3, 1, 3, 3, 1, 2, 1, 2, 2, 2, 3, 2, 2, 1, 3, 4, 0, 4, 3, 2, 0, 2, 4, 3, 3, 1, 4, 4, 3, 1, 0, 2, 4, 4, 2, 4, 2, 4, 4, 3, 0, 0, 3, 1, 1, 4, 3, 1, 1, 4, 1, 3, 2, 1, 0, 0, 4, 2, 0, 2, 0, 2, 1, 1, 4, 3, 4, 0, 4, 2, 1, 3, 3, 3, 0, 4, 3, 0, 0, 3, 4, 4, 1, 0, 1, 0, 4, 3, 3, 2, 3, 4, 3, 0, 0, 1, 2, 3, 4, 1, 2, 0, 1, 2, 2, 0, 4, 4, 2, 1, 4, 4, 2, 3, 0, 2, 2, 1, 0, 0, 2, 4, 0, 4, 2, 3, 1, 4, 4, 0, 2, 1, 2, 0, 1, 0, 3, 3, 3, 4, 4, 4, 3, 1, 0, 4, 3, 4, 4, 0, 3, 2, 3, 3, 3, 0, 3, 3, 3, 2, 3, 3, 1, 3, 3, 2, 2, 3, 4, 3, 3, 4, 0, 1, 3, 2, 4, 3, 0, 1, 0, 4, 3, 1, 4, 1, 2, 4, 4, 1, 1, 3, 4, 0, 3, 4, 3, 2, 2, 1, 4, 0, 2, 4, 2, 2, 2, 2, 0, 1, 2, 2, 3, 2, 0, 3, 2, 0, 0, 0, 0, 2, 4, 2, 3, 0, 4, 3, 0, 3, 3, 2, 3, 2, 0, 0, 0, 1, 3, 1, 4, 3, 4, 3, 2, 4, 4, 2, 1, 4, 0, 0, 1, 4, 0, 2, 2, 1, 4, 2, 3, 3, 0, 2, 1, 4, 0, 2, 4, 2, 4, 4, 2, 4, 2, 2, 3, 4, 3, 0, 4, 1, 1, 3, 4, 0, 1, 4, 2, 1, 4, 4, 4, 0, 1, 4, 3, 2, 0, 2, 4, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 4, 0, 0, 2, 2, 4, 0, 2, 4, 2, 3, 1, 1, 4, 0, 0, 0, 3, 1, 1, 2, 3, 0, 1, 2, 1, 0, 3, 0, 2, 2, 0, 0, 4, 2, 0, 4, 4, 2, 2, 2, 1, 1, 0, 3, 3, 4, 1, 1, 2, 2]
pubkeycol640 = [0, 2, 4, 4, 2, 0, 3, 2, 4, 1, 0, 4, 0, 0, 0, 3, 3, 0, 2, 3, 3, 0, 1, 2, 2, 1, 2, 4, 0, 3, 3, 4, 1, 0, 4, 2, 0, 2, 4, 1, 2, 2, 3, 3, 0, 0, 2, 0, 4, 3, 3, 3, 3, 2, 3, 4, 1, 1, 2, 0, 1, 2, 4, 4, 3, 2, 0, 3, 3, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 4, 0, 4, 1, 0, 1, 0, 3, 3, 1, 4, 2, 2, 4, 4, 3, 0, 4, 4, 3, 0, 2, 2, 3, 1, 4, 2, 4, 1, 0, 3, 2, 4, 1, 2, 3, 3, 3, 2, 3, 1, 2, 0, 3, 0, 0, 1, 2, 0, 4, 0, 3, 1, 0, 1, 0, 0, 4, 2, 2, 2, 4, 4, 1, 3, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 4, 1, 4, 2, 3, 1, 3, 4, 0, 4, 0, 3, 1, 0, 2, 3, 4, 0, 3, 4, 2, 0, 2, 1, 1, 4, 3, 3, 2, 0, 0, 3, 4, 2, 0, 3, 4, 0, 3, 3, 0, 2, 1, 1, 2, 3, 1, 1, 2, 0, 2, 2, 3, 1, 4, 4, 1, 0, 4, 3, 4, 4, 0, 3, 2, 0, 1, 4, 3, 1, 1, 1, 3, 1, 4, 0, 2, 3, 3, 0, 4, 2, 4, 4, 1, 2, 0, 3, 2, 2, 2, 3, 1, 0, 1, 2, 2, 3, 1, 2, 1, 0, 0, 3, 3, 0, 3, 0, 3, 1, 1, 2, 1, 2, 2, 4, 3, 1, 3, 4, 3, 1, 4, 4, 2, 0, 4, 0, 4, 0, 3, 0, 3, 2, 2, 1, 4, 3, 1, 1, 2, 1, 3, 1, 3, 2, 1, 3, 2, 0, 3, 0, 0, 3, 4, 4, 3, 1, 4, 3, 3, 4, 0, 2, 4, 1, 1, 3, 4, 1, 4, 1, 4, 4, 3, 3, 3, 4, 4, 2, 0, 1, 2, 0, 3, 2, 3, 1, 1, 4, 3, 2, 0, 4, 1, 4, 2, 4, 0, 0, 0, 1, 4, 4, 0, 4, 2, 1, 4, 3, 2, 1, 1, 4, 3, 4, 2, 2, 0, 3, 3, 2, 3, 2, 2, 2, 4, 4, 0, 2, 3, 0, 1, 3, 1, 1, 3, 4, 2, 2, 4, 1, 0, 3, 1, 4, 1, 2, 3, 3, 2, 3, 1, 3, 0, 3, 2, 0, 1, 0, 4, 3, 0, 2, 4, 4, 0, 0, 0, 2, 2, 0, 2, 3, 4, 4, 0, 2, 2, 2, 2, 4, 3, 4, 1, 2, 1, 2, 1, 4, 1, 3, 2, 1, 3, 0, 2, 0, 1, 3, 0, 0, 1, 1, 0, 1, 4, 3, 3, 4, 4, 2, 3, 0, 2, 4, 1, 3, 4, 4, 2, 0, 4, 1, 3, 2, 1, 3, 4, 0, 4, 0, 2, 4, 1, 3, 1, 3, 3, 0, 4, 0, 4, 3, 2, 4, 1, 4]
pubkeycol641 = [3, 2, 3, 2, 2, 4, 1, 0, 4, 4, 2, 4, 3, 0, 0, 1, 3, 2, 2, 2, 4, 3, 0, 4, 0, 0, 4, 4, 1, 3, 0, 2, 4, 4, 2, 3, 0, 4, 3, 1, 0, 2, 2, 2, 3, 1, 2, 0, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 2, 0, 4, 0, 3, 3, 3, 3, 4, 3, 2, 3, 3, 3, 0, 3, 2, 3, 2, 2, 4, 3, 0, 0, 0, 4, 1, 2, 3, 4, 0, 2, 0, 4, 3, 4, 0, 0, 1, 0, 3, 2, 2, 1, 3, 1, 1, 0, 3, 2, 3, 3, 4, 1, 0, 1, 0, 1, 4, 3, 1, 2, 1, 1, 0, 1, 3, 2, 3, 3, 2, 4, 3, 2, 1, 2, 2, 4, 4, 3, 0, 2, 1, 0, 1, 2, 0, 4, 4, 0, 3, 0, 0, 3, 3, 4, 4, 0, 1, 1, 3, 0, 2, 1, 2, 0, 2, 3, 3, 1, 2, 1, 1, 0, 1, 2, 2, 1, 4, 3, 2, 3, 0, 2, 0, 0, 4, 4, 1, 2, 4, 0, 4, 1, 1, 4, 3, 3, 4, 0, 1, 4, 4, 2, 4, 0, 2, 0, 1, 4, 3, 0, 3, 3, 4, 3, 0, 0, 3, 0, 1, 2, 4, 4, 0, 1, 4, 1, 3, 1, 1, 1, 4, 2, 3, 2, 4, 3, 1, 3, 4, 4, 3, 3, 4, 3, 2, 4, 2, 1, 3, 4, 1, 0, 3, 1, 2, 1, 2, 0, 4, 2, 1, 2, 0, 4, 3, 3, 0, 1, 3, 3, 1, 0, 0, 0, 3, 4, 2, 2, 2, 4, 2, 4, 3, 1, 2, 2, 3, 1, 3, 1, 1, 3, 0, 4, 4, 4, 1, 2, 2, 2, 0, 3, 4, 3, 2, 3, 2, 0, 2, 3, 4, 3, 3, 3, 3, 4, 3, 1, 3, 0, 3, 4, 4, 4, 1, 0, 4, 2, 1, 4, 1, 1, 3, 1, 3, 4, 2, 1, 0, 3, 0, 0, 4, 2, 4, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 4, 3, 2, 3, 1, 3, 1, 4, 2, 4, 1, 0, 4, 4, 2, 1, 4, 0, 0, 4, 4, 1, 1, 1, 4, 1, 3, 0, 3, 4, 4, 0, 4, 3, 4, 0, 3, 1, 4, 0, 1, 2, 2, 4, 3, 4, 3, 4, 1, 3, 3, 4, 4, 0, 2, 2, 2, 3, 0, 4, 4, 3, 2, 4, 0, 0, 3, 3, 1, 4, 3, 4, 4, 3, 3, 1, 3, 4, 0, 4, 1, 1, 1, 3, 1, 4, 0, 2, 2, 4, 0, 4, 1, 2, 1, 3, 0, 1, 2, 3, 4, 2, 0, 0, 2, 3, 2, 0, 2, 0, 4, 2, 4, 4, 1, 2, 0, 0, 1, 4, 2, 4, 3, 3, 2, 3, 1, 3, 1, 0, 2, 1, 3, 2, 1, 4, 1, 2, 4, 4, 4, 4, 3, 2, 4, 3, 0, 3, 1]
pubkeycol642 = [4, 2, 1, 2, 1, 1, 1, 4, 4, 2, 3, 0, 4, 3, 0, 4, 4, 3, 2, 4, 0, 3, 4, 2, 3, 2, 2, 2, 1, 1, 1, 3, 0, 4, 4, 4, 2, 0, 0, 2, 0, 2, 1, 2, 4, 2, 0, 1, 2, 3, 2, 1, 3, 1, 2, 4, 4, 0, 4, 3, 1, 2, 4, 2, 2, 4, 0, 4, 4, 2, 2, 4, 0, 4, 1, 3, 3, 0, 1, 3, 3, 4, 0, 2, 1, 1, 1, 0, 3, 4, 1, 3, 0, 2, 3, 3, 3, 1, 1, 4, 1, 0, 4, 4, 0, 1, 2, 0, 2, 0, 2, 0, 4, 4, 4, 4, 0, 1, 2, 3, 3, 4, 0, 3, 2, 0, 2, 4, 4, 4, 0, 1, 3, 3, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 3, 3, 4, 1, 3, 3, 4, 2, 4, 1, 4, 4, 4, 4, 0, 0, 0, 0, 1, 0, 0, 2, 2, 4, 1, 0, 0, 4, 4, 4, 0, 0, 1, 0, 4, 4, 4, 3, 2, 4, 3, 2, 2, 0, 3, 0, 3, 0, 2, 2, 1, 3, 3, 3, 2, 0, 0, 4, 3, 4, 2, 1, 4, 4, 4, 0, 3, 4, 0, 0, 2, 4, 1, 2, 4, 4, 1, 2, 3, 4, 3, 2, 0, 4, 2, 0, 4, 3, 1, 3, 2, 4, 0, 1, 2, 1, 2, 0, 3, 3, 3, 1, 2, 1, 2, 1, 2, 2, 3, 2, 0, 4, 3, 4, 1, 0, 0, 1, 0, 1, 0, 0, 3, 2, 4, 3, 1, 0, 0, 0, 3, 1, 1, 3, 0, 1, 2, 3, 1, 2, 1, 4, 3, 1, 4, 3, 4, 2, 1, 0, 4, 0, 3, 2, 1, 4, 0, 2, 0, 3, 4, 2, 1, 3, 3, 0, 0, 4, 0, 3, 0, 1, 0, 2, 3, 3, 1, 0, 0, 4, 4, 0, 4, 1, 4, 2, 4, 0, 2, 0, 2, 0, 4, 1, 2, 2, 0, 0, 3, 1, 2, 2, 4, 0, 1, 3, 0, 0, 0, 3, 4, 4, 2, 1, 2, 4, 1, 3, 0, 2, 0, 0, 3, 0, 2, 2, 2, 4, 0, 3, 3, 4, 1, 2, 2, 0, 2, 0, 2, 1, 4, 4, 4, 2, 0, 3, 1, 1, 4, 4, 3, 1, 1, 1, 3, 3, 3, 1, 3, 4, 0, 3, 1, 3, 2, 3, 0, 4, 0, 2, 4, 0, 2, 3, 3, 2, 3, 1, 0, 3, 0, 3, 3, 2, 0, 1, 0, 2, 4, 2, 3, 2, 0, 0, 0, 1, 3, 3, 0, 4, 2, 0, 4, 4, 3, 0, 3, 4, 3, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 4, 1, 2, 0, 2, 2, 1, 0, 4, 3, 2, 1, 4, 2, 2, 0, 4, 2, 1, 0, 2, 1, 3, 2, 4, 0, 3, 3, 2, 1, 2, 2, 3, 4, 0, 2, 2, 3, 2]
pubkeycol643 = [4, 4, 0, 3, 4, 4, 2, 0, 3, 1, 3, 0, 4, 3, 3, 0, 4, 4, 2, 0, 1, 3, 2, 0, 4, 3, 3, 2, 2, 4, 3, 2, 1, 3, 1, 4, 4, 2, 3, 2, 2, 1, 2, 2, 0, 4, 2, 2, 1, 0, 2, 0, 1, 1, 3, 0, 1, 0, 2, 0, 4, 4, 1, 4, 0, 4, 2, 3, 1, 4, 2, 0, 3, 1, 1, 2, 3, 2, 1, 1, 2, 2, 0, 0, 3, 3, 4, 2, 0, 3, 0, 1, 0, 0, 3, 3, 3, 4, 2, 4, 2, 3, 0, 1, 2, 4, 0, 3, 3, 2, 0, 3, 3, 3, 2, 3, 2, 1, 3, 3, 1, 4, 2, 2, 2, 3, 4, 0, 4, 2, 1, 1, 1, 4, 0, 2, 0, 4, 2, 0, 3, 0, 4, 4, 0, 3, 0, 4, 3, 1, 2, 0, 4, 4, 3, 4, 2, 3, 2, 1, 0, 4, 4, 4, 1, 3, 2, 1, 0, 1, 0, 0, 0, 3, 4, 2, 2, 1, 2, 0, 4, 1, 2, 4, 4, 1, 3, 2, 4, 2, 1, 3, 1, 3, 2, 3, 0, 4, 2, 0, 1, 4, 3, 0, 1, 2, 3, 0, 0, 1, 0, 1, 3, 1, 0, 1, 2, 2, 0, 2, 4, 2, 4, 0, 2, 2, 4, 4, 3, 1, 3, 4, 2, 1, 1, 0, 1, 4, 4, 1, 1, 1, 3, 1, 0, 0, 1, 4, 2, 3, 0, 3, 0, 3, 2, 2, 3, 1, 2, 1, 4, 2, 3, 0, 3, 4, 0, 1, 0, 0, 0, 2, 1, 3, 4, 4, 0, 3, 2, 1, 1, 2, 4, 2, 1, 2, 1, 3, 2, 4, 4, 3, 0, 2, 3, 0, 4, 2, 4, 0, 1, 3, 4, 2, 0, 2, 4, 2, 4, 4, 4, 1, 1, 2, 3, 2, 2, 3, 3, 4, 3, 4, 2, 4, 1, 3, 0, 2, 4, 3, 0, 0, 1, 4, 4, 2, 4, 4, 2, 4, 1, 0, 3, 3, 4, 3, 1, 4, 0, 2, 2, 1, 3, 3, 4, 4, 2, 4, 3, 1, 1, 2, 4, 3, 0, 1, 3, 2, 3, 4, 3, 2, 2, 1, 3, 1, 1, 3, 2, 1, 4, 4, 2, 3, 0, 2, 0, 0, 4, 2, 1, 4, 2, 3, 4, 4, 1, 4, 0, 0, 0, 4, 2, 4, 3, 3, 4, 3, 3, 1, 4, 2, 4, 3, 4, 0, 2, 2, 4, 3, 1, 2, 4, 4, 4, 1, 1, 2, 2, 0, 3, 4, 2, 0, 4, 0, 0, 0, 4, 3, 0, 2, 3, 1, 0, 1, 1, 0, 2, 0, 2, 4, 2, 2, 4, 4, 4, 4, 4, 4, 1, 0, 1, 1, 2, 0, 3, 3, 2, 1, 2, 3, 3, 2, 3, 4, 3, 4, 0, 1, 1, 3, 3, 0, 0, 2, 1, 2, 3, 4, 4, 3, 3, 3, 3, 4, 0, 0, 4, 4, 0, 4, 4, 4, 2]
pubkeycol644 = [0, 1, 1, 3, 1, 3, 2, 1, 3, 2, 2, 0, 1, 1, 1, 4, 4, 2, 4, 2, 2, 2, 0, 3, 2, 4, 2, 3, 2, 4, 2, 4, 2, 2, 2, 1, 4, 3, 2, 2, 1, 2, 0, 3, 3, 1, 1, 4, 3, 1, 0, 0, 0, 2, 4, 1, 0, 4, 3, 2, 0, 3, 2, 2, 2, 1, 0, 3, 3, 4, 3, 2, 0, 1, 2, 0, 3, 3, 0, 1, 3, 1, 2, 2, 2, 2, 3, 4, 2, 3, 4, 4, 1, 1, 0, 1, 1, 0, 4, 4, 3, 3, 1, 4, 3, 0, 2, 3, 0, 1, 3, 4, 1, 3, 4, 3, 2, 4, 2, 0, 3, 1, 4, 0, 1, 3, 2, 0, 3, 4, 1, 4, 2, 4, 1, 1, 0, 2, 2, 3, 4, 2, 3, 1, 1, 1, 1, 3, 4, 0, 0, 3, 1, 3, 1, 3, 3, 0, 3, 4, 2, 3, 3, 1, 1, 2, 3, 0, 4, 3, 1, 1, 0, 0, 4, 3, 3, 0, 4, 4, 4, 3, 3, 2, 2, 3, 0, 3, 2, 3, 3, 0, 2, 0, 0, 2, 1, 4, 4, 3, 2, 3, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 0, 0, 4, 3, 3, 2, 1, 2, 4, 1, 3, 2, 4, 2, 0, 0, 2, 1, 0, 1, 4, 0, 0, 2, 3, 4, 2, 4, 2, 2, 2, 1, 1, 1, 0, 1, 2, 4, 3, 3, 4, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 2, 2, 3, 2, 2, 4, 0, 1, 3, 4, 0, 1, 3, 3, 2, 3, 4, 3, 3, 2, 2, 1, 1, 0, 4, 2, 0, 4, 2, 2, 3, 2, 1, 2, 0, 0, 1, 0, 3, 0, 2, 0, 1, 3, 3, 4, 3, 2, 4, 1, 2, 2, 1, 1, 2, 4, 0, 2, 0, 3, 4, 1, 3, 4, 1, 0, 0, 1, 0, 4, 3, 1, 2, 4, 4, 4, 3, 4, 3, 2, 1, 4, 3, 1, 1, 0, 0, 1, 1, 3, 3, 3, 2, 0, 4, 4, 2, 4, 1, 4, 4, 1, 3, 4, 0, 1, 2, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 2, 4, 1, 4, 2, 2, 3, 0, 0, 1, 3, 2, 1, 0, 0, 4, 4, 0, 3, 0, 4, 4, 1, 1, 4, 4, 2, 2, 1, 2, 3, 3, 3, 2, 0, 2, 4, 1, 0, 4, 2, 4, 3, 3, 2, 3, 2, 4, 2, 2, 3, 2, 4, 3, 1, 3, 4, 1, 3, 0, 4, 3, 1, 0, 0, 1, 4, 0, 3, 4, 2, 4, 3, 3, 1, 3, 3, 4, 3, 3, 1, 4, 4, 1, 2, 4, 3, 4, 1, 3, 3, 1, 1, 0, 4, 1, 3, 2, 4, 4, 4, 4, 3, 2, 3, 3, 3, 2, 0, 0, 2, 3, 0, 0, 3, 0, 4, 3, 4, 2, 4]
pubkeycol645 = [1, 0, 3, 0, 3, 3, 0, 1, 1, 4, 2, 4, 1, 1, 2, 3, 3, 3, 4, 2, 2, 3, 2, 0, 0, 3, 4, 2, 4, 4, 2, 3, 4, 2, 1, 3, 1, 3, 0, 0, 2, 1, 3, 3, 3, 3, 4, 2, 3, 4, 1, 3, 3, 1, 2, 2, 4, 0, 3, 1, 2, 1, 4, 3, 2, 3, 0, 3, 2, 2, 3, 1, 3, 2, 1, 3, 2, 2, 0, 4, 4, 0, 0, 0, 1, 3, 3, 1, 4, 4, 4, 0, 1, 3, 0, 4, 2, 2, 4, 4, 4, 1, 3, 3, 3, 4, 0, 4, 0, 1, 4, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 3, 1, 0, 2, 1, 2, 2, 2, 3, 3, 4, 4, 0, 2, 1, 3, 0, 3, 0, 1, 4, 0, 3, 1, 3, 0, 4, 3, 2, 1, 3, 4, 2, 0, 0, 0, 2, 0, 2, 0, 1, 4, 0, 3, 4, 3, 0, 2, 2, 4, 2, 0, 0, 3, 1, 4, 3, 1, 0, 0, 4, 1, 0, 2, 1, 3, 1, 0, 0, 4, 2, 3, 4, 2, 4, 4, 2, 1, 0, 4, 1, 2, 2, 2, 4, 2, 3, 4, 2, 3, 2, 0, 0, 2, 2, 2, 4, 2, 3, 3, 0, 2, 2, 4, 3, 0, 4, 3, 4, 3, 0, 0, 1, 3, 3, 0, 2, 2, 3, 4, 0, 0, 1, 1, 0, 2, 2, 0, 3, 2, 1, 2, 2, 2, 2, 4, 3, 3, 3, 4, 0, 0, 0, 4, 0, 4, 2, 4, 1, 4, 3, 1, 3, 0, 3, 4, 2, 0, 4, 3, 3, 4, 1, 1, 2, 1, 0, 3, 4, 0, 0, 0, 0, 1, 4, 2, 2, 3, 2, 0, 1, 2, 1, 3, 4, 1, 1, 3, 3, 1, 1, 4, 2, 3, 4, 2, 3, 1, 0, 1, 4, 0, 0, 1, 2, 0, 4, 3, 1, 3, 0, 2, 3, 3, 2, 0, 4, 1, 0, 0, 0, 4, 2, 0, 4, 1, 1, 4, 4, 3, 0, 1, 2, 0, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 3, 4, 1, 2, 4, 1, 1, 0, 3, 3, 3, 0, 3, 1, 4, 1, 4, 0, 2, 3, 0, 2, 1, 2, 2, 0, 0, 3, 1, 2, 1, 3, 0, 1, 1, 3, 2, 2, 3, 2, 3, 3, 3, 4, 3, 2, 1, 4, 2, 4, 0, 2, 2, 4, 4, 1, 0, 4, 2, 0, 0, 1, 1, 0, 4, 2, 0, 4, 0, 3, 3, 1, 1, 1, 0, 3, 0, 4, 4, 4, 3, 3, 4, 4, 4, 3, 1, 0, 0, 4, 2, 4, 2, 3, 1, 3, 3, 0, 3, 3, 2, 4, 4, 3, 2, 2, 3, 1, 3, 4, 4, 4, 3, 3, 1, 4, 4, 1, 2, 1, 0, 3, 0, 1, 3, 0, 3, 0, 4, 4, 1]
pubkeycol646 = [3, 2, 2, 4, 1, 3, 0, 1, 0, 1, 1, 3, 3, 4, 3, 4, 0, 1, 0, 3, 1, 3, 2, 2, 1, 4, 4, 4, 4, 0, 0, 4, 3, 0, 1, 4, 3, 3, 4, 1, 0, 0, 4, 2, 2, 2, 3, 0, 2, 1, 4, 1, 1, 0, 3, 2, 2, 2, 4, 3, 4, 1, 2, 1, 3, 0, 0, 3, 2, 0, 4, 1, 3, 2, 3, 4, 3, 1, 1, 3, 4, 4, 4, 2, 3, 4, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 4, 0, 3, 3, 1, 1, 2, 0, 0, 4, 4, 4, 3, 2, 0, 0, 4, 4, 0, 2, 0, 0, 2, 3, 2, 4, 3, 2, 3, 2, 1, 1, 1, 2, 0, 2, 3, 0, 4, 4, 1, 0, 0, 0, 1, 1, 0, 4, 1, 0, 0, 4, 4, 0, 1, 0, 3, 1, 4, 1, 2, 0, 3, 2, 2, 2, 4, 3, 3, 1, 0, 1, 4, 3, 1, 0, 0, 4, 2, 0, 1, 2, 4, 0, 2, 2, 2, 0, 2, 0, 2, 0, 4, 1, 2, 2, 0, 4, 0, 2, 1, 3, 1, 3, 2, 0, 2, 2, 4, 1, 0, 2, 2, 3, 2, 1, 4, 0, 2, 1, 2, 4, 0, 0, 3, 4, 2, 0, 0, 1, 3, 0, 3, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 3, 2, 2, 0, 0, 2, 4, 2, 1, 0, 1, 1, 2, 2, 3, 4, 2, 2, 2, 3, 4, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 4, 4, 4, 3, 1, 3, 4, 2, 4, 4, 4, 0, 2, 1, 4, 3, 0, 3, 1, 1, 3, 2, 1, 1, 0, 0, 3, 3, 2, 1, 0, 2, 3, 0, 4, 3, 2, 0, 4, 1, 0, 1, 3, 4, 0, 0, 4, 3, 2, 4, 1, 0, 0, 2, 2, 3, 0, 2, 4, 4, 3, 0, 2, 4, 4, 4, 0, 3, 4, 0, 3, 1, 2, 2, 3, 4, 0, 0, 1, 0, 3, 0, 4, 3, 2, 1, 3, 2, 1, 4, 4, 0, 1, 1, 2, 0, 1, 0, 0, 1, 3, 3, 2, 4, 2, 2, 1, 0, 0, 3, 0, 0, 2, 3, 3, 1, 3, 4, 4, 4, 2, 0, 1, 1, 0, 0, 2, 2, 3, 2, 3, 4, 4, 1, 2, 3, 0, 4, 2, 4, 1, 1, 0, 4, 0, 4, 2, 0, 3, 1, 4, 1, 3, 4, 2, 4, 1, 0, 1, 3, 3, 1, 4, 4, 3, 1, 2, 3, 0, 3, 0, 0, 2, 3, 3, 0, 3, 4, 3, 1, 1, 4, 3, 3, 2, 4, 2, 3, 3, 0, 3, 0, 4, 2, 1, 4, 2, 3, 1, 2, 0, 4, 2, 0, 1, 4, 2, 0, 1, 2, 2, 1, 4, 3, 4, 1, 4, 1, 0, 1, 3, 3, 0, 3, 2, 2, 3, 2, 3, 2, 2, 1, 2]
pubkeycol647 = [1, 0, 4, 2, 1, 2, 2, 2, 2, 4, 2, 3, 3, 1, 1, 2, 4, 3, 0, 1, 0, 3, 3, 4, 1, 0, 1, 3, 2, 0, 0, 4, 3, 4, 0, 3, 0, 3, 0, 3, 3, 2, 4, 0, 2, 0, 2, 3, 3, 2, 3, 2, 0, 2, 1, 3, 2, 1, 0, 0, 1, 1, 0, 0, 4, 0, 4, 0, 3, 2, 3, 0, 1, 0, 1, 4, 3, 0, 0, 1, 0, 1, 1, 1, 4, 1, 3, 4, 0, 4, 2, 1, 1, 1, 0, 2, 1, 4, 1, 3, 3, 3, 4, 1, 2, 4, 4, 4, 3, 2, 2, 3, 4, 2, 4, 2, 4, 2, 1, 3, 2, 4, 3, 3, 4, 3, 0, 1, 4, 0, 1, 4, 0, 4, 1, 2, 3, 4, 4, 2, 4, 3, 4, 1, 0, 4, 4, 3, 1, 2, 3, 1, 3, 4, 2, 2, 2, 0, 0, 0, 2, 3, 1, 4, 0, 0, 1, 1, 3, 4, 3, 0, 0, 4, 3, 3, 4, 0, 2, 3, 0, 2, 4, 0, 3, 0, 1, 1, 1, 0, 3, 1, 4, 2, 1, 1, 2, 0, 2, 0, 4, 0, 2, 2, 1, 2, 3, 0, 3, 3, 2, 2, 2, 1, 2, 1, 1, 2, 1, 3, 2, 4, 0, 3, 4, 1, 4, 0, 1, 1, 4, 2, 0, 3, 4, 2, 1, 4, 3, 4, 1, 2, 2, 2, 0, 0, 3, 4, 1, 2, 0, 2, 3, 0, 2, 3, 3, 1, 2, 2, 2, 3, 1, 4, 0, 0, 0, 4, 4, 1, 0, 3, 1, 1, 3, 3, 3, 3, 0, 1, 2, 0, 4, 3, 1, 0, 1, 4, 3, 4, 1, 3, 2, 2, 0, 3, 1, 2, 0, 4, 2, 1, 4, 3, 1, 0, 0, 1, 0, 0, 3, 3, 4, 3, 2, 1, 3, 3, 4, 4, 3, 3, 3, 1, 1, 0, 1, 0, 2, 3, 1, 3, 4, 4, 3, 0, 2, 3, 2, 3, 2, 3, 2, 4, 4, 1, 0, 2, 2, 4, 1, 3, 3, 2, 0, 0, 1, 0, 1, 2, 2, 4, 1, 0, 1, 2, 3, 3, 3, 1, 3, 2, 4, 2, 3, 0, 0, 4, 4, 3, 2, 4, 4, 0, 2, 2, 4, 4, 3, 0, 1, 0, 4, 1, 4, 0, 4, 1, 1, 1, 0, 1, 1, 2, 4, 4, 2, 0, 4, 4, 4, 3, 3, 3, 1, 4, 1, 1, 1, 2, 0, 2, 3, 1, 3, 3, 4, 0, 0, 0, 4, 4, 0, 2, 4, 0, 3, 0, 2, 1, 4, 2, 2, 1, 3, 4, 4, 3, 1, 4, 2, 1, 4, 0, 2, 2, 0, 1, 0, 2, 4, 3, 4, 1, 4, 0, 2, 1, 1, 3, 4, 1, 2, 0, 4, 4, 1, 1, 1, 4, 1, 1, 0, 4, 3, 0, 2, 2, 0, 1, 1, 4, 2, 0, 3, 1, 4, 2, 0, 2, 2, 2, 3, 4, 4]
pubkeycol648 = [0, 0, 3, 2, 4, 0, 4, 4, 2, 4, 2, 2, 3, 4, 1, 3, 3, 1, 3, 2, 0, 4, 1, 4, 4, 3, 3, 1, 0, 0, 1, 4, 3, 3, 4, 3, 1, 2, 4, 2, 0, 1, 3, 0, 1, 3, 2, 3, 1, 2, 3, 1, 3, 4, 4, 3, 2, 0, 4, 0, 1, 4, 0, 2, 0, 0, 2, 4, 2, 0, 0, 4, 3, 1, 2, 0, 3, 2, 1, 0, 4, 0, 4, 2, 2, 1, 2, 1, 4, 2, 3, 4, 1, 1, 4, 4, 0, 4, 1, 2, 0, 0, 4, 1, 0, 0, 0, 3, 0, 0, 3, 2, 0, 4, 0, 4, 4, 1, 1, 0, 1, 1, 0, 2, 4, 3, 2, 0, 1, 0, 4, 0, 3, 4, 0, 4, 1, 4, 2, 2, 1, 0, 4, 4, 1, 3, 0, 2, 3, 1, 3, 4, 3, 1, 0, 0, 1, 2, 3, 1, 4, 1, 4, 0, 2, 0, 3, 3, 0, 4, 2, 2, 1, 3, 2, 2, 0, 3, 2, 1, 4, 2, 0, 3, 3, 4, 4, 1, 2, 2, 4, 0, 0, 3, 1, 0, 3, 0, 1, 0, 2, 0, 4, 3, 0, 0, 0, 3, 1, 1, 1, 0, 1, 3, 4, 1, 4, 3, 1, 0, 0, 0, 3, 2, 1, 4, 0, 3, 1, 1, 2, 3, 4, 3, 3, 4, 3, 0, 2, 2, 4, 3, 4, 1, 2, 2, 3, 3, 4, 2, 1, 4, 4, 1, 3, 1, 4, 3, 2, 3, 4, 3, 3, 1, 0, 1, 4, 3, 2, 3, 4, 0, 4, 0, 4, 2, 4, 1, 1, 0, 3, 4, 1, 1, 1, 4, 0, 0, 4, 1, 4, 3, 2, 2, 1, 4, 3, 2, 2, 4, 1, 1, 0, 0, 1, 1, 0, 2, 1, 3, 1, 1, 0, 0, 2, 4, 3, 3, 0, 2, 4, 2, 2, 0, 3, 3, 0, 3, 3, 0, 0, 1, 0, 1, 4, 1, 4, 1, 1, 0, 1, 1, 1, 2, 2, 4, 1, 3, 2, 4, 1, 0, 1, 2, 1, 1, 2, 3, 2, 3, 4, 3, 2, 4, 0, 4, 4, 4, 4, 2, 2, 3, 0, 3, 4, 0, 0, 0, 1, 3, 3, 2, 3, 0, 1, 2, 2, 3, 1, 1, 1, 0, 0, 1, 3, 3, 1, 4, 0, 4, 0, 3, 0, 2, 0, 2, 0, 4, 4, 0, 0, 2, 4, 2, 4, 0, 1, 1, 0, 2, 1, 3, 4, 1, 3, 0, 3, 0, 4, 1, 3, 0, 1, 1, 0, 0, 4, 2, 1, 2, 2, 2, 4, 1, 3, 3, 2, 3, 1, 2, 2, 3, 3, 4, 2, 4, 3, 2, 4, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 4, 4, 2, 0, 2, 2, 3, 2, 3, 4, 0, 2, 2, 0, 4, 2, 2, 3, 4, 4, 2, 1, 2, 4, 1, 2, 0, 0, 3, 4, 2, 1, 2, 2, 3, 3]
pubkeycol649 = [1, 3, 1, 0, 1, 4, 3, 3, 3, 1, 2, 3, 1, 3, 2, 1, 1, 3, 1, 3, 1, 0, 2, 4, 1, 4, 1, 2, 2, 3, 2, 2, 1, 0, 0, 2, 0, 0, 1, 4, 2, 2, 4, 1, 3, 0, 4, 2, 1, 3, 0, 1, 2, 1, 2, 0, 1, 4, 3, 4, 1, 3, 3, 2, 2, 4, 1, 1, 4, 2, 3, 4, 3, 1, 0, 2, 2, 1, 4, 2, 3, 1, 3, 0, 2, 1, 2, 2, 1, 2, 2, 4, 0, 0, 4, 1, 3, 0, 0, 3, 4, 4, 1, 0, 3, 1, 0, 4, 1, 0, 0, 4, 4, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 4, 4, 1, 1, 4, 0, 2, 3, 1, 2, 4, 3, 2, 4, 3, 4, 4, 2, 2, 3, 1, 2, 2, 4, 3, 0, 3, 2, 3, 2, 2, 4, 4, 2, 1, 2, 1, 0, 2, 2, 1, 3, 1, 2, 0, 0, 3, 3, 4, 4, 3, 3, 4, 3, 0, 3, 2, 4, 4, 4, 3, 0, 3, 1, 2, 1, 1, 2, 3, 3, 3, 4, 4, 3, 3, 4, 4, 3, 3, 4, 2, 2, 4, 1, 1, 3, 2, 0, 2, 3, 4, 4, 1, 3, 4, 2, 4, 3, 4, 3, 4, 4, 2, 4, 0, 4, 0, 1, 1, 3, 4, 3, 0, 2, 0, 2, 2, 3, 1, 4, 2, 2, 4, 1, 2, 0, 0, 3, 0, 4, 1, 1, 4, 2, 1, 4, 0, 4, 0, 2, 4, 1, 2, 2, 0, 3, 0, 3, 2, 4, 0, 1, 2, 3, 0, 0, 0, 3, 3, 2, 1, 4, 2, 3, 2, 0, 3, 3, 0, 4, 2, 1, 0, 2, 3, 0, 2, 0, 1, 0, 4, 2, 3, 2, 1, 3, 1, 2, 2, 1, 3, 0, 4, 0, 3, 2, 3, 0, 2, 3, 4, 2, 2, 0, 4, 3, 3, 3, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 4, 0, 0, 0, 4, 4, 1, 0, 2, 1, 2, 0, 2, 1, 2, 4, 4, 2, 3, 4, 0, 3, 2, 4, 2, 4, 3, 0, 3, 0, 2, 0, 0, 1, 4, 0, 4, 4, 4, 1, 4, 4, 2, 1, 2, 0, 1, 1, 4, 1, 2, 0, 1, 2, 4, 4, 1, 4, 4, 2, 3, 2, 3, 3, 3, 4, 4, 1, 1, 3, 1, 1, 1, 3, 3, 4, 3, 4, 1, 2, 1, 4, 0, 3, 3, 1, 0, 4, 2, 0, 1, 2, 0, 4, 3, 4, 1, 2, 0, 1, 2, 3, 1, 0, 0, 4, 3, 3, 0, 4, 4, 4, 1, 4, 4, 0, 3, 0, 4, 4, 2, 0, 2, 3, 3, 2, 2, 4, 2, 0, 3, 1, 0, 1, 2, 1, 2, 2, 3, 2, 1, 3, 4, 3, 3, 4, 2, 1, 0, 1, 2, 3, 3, 0, 2, 1, 2, 2, 2]
pubkeycol650 = [3, 1, 2, 3, 4, 3, 0, 3, 1, 1, 3, 2, 4, 0, 1, 4, 0, 0, 2, 4, 1, 1, 0, 3, 0, 1, 3, 0, 2, 2, 4, 1, 0, 3, 1, 0, 3, 4, 3, 4, 4, 2, 2, 4, 4, 2, 0, 1, 0, 3, 3, 1, 3, 4, 1, 1, 0, 2, 1, 2, 2, 3, 4, 4, 2, 0, 3, 0, 0, 3, 4, 4, 4, 1, 3, 4, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 4, 0, 4, 0, 3, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 3, 1, 0, 2, 0, 3, 0, 2, 2, 1, 1, 1, 4, 1, 3, 4, 4, 4, 3, 1, 1, 0, 2, 4, 2, 2, 3, 3, 1, 2, 2, 3, 4, 0, 1, 2, 4, 2, 4, 1, 4, 0, 1, 3, 4, 2, 3, 0, 3, 3, 4, 3, 3, 1, 4, 2, 4, 4, 1, 1, 0, 1, 4, 4, 4, 2, 4, 1, 0, 0, 2, 2, 3, 2, 4, 2, 4, 1, 0, 4, 3, 1, 4, 4, 1, 1, 0, 2, 1, 4, 4, 0, 3, 3, 4, 0, 4, 4, 1, 4, 3, 3, 3, 4, 3, 4, 3, 0, 3, 4, 0, 4, 0, 3, 2, 2, 2, 0, 0, 3, 0, 1, 1, 1, 1, 4, 0, 3, 0, 3, 0, 2, 2, 1, 1, 2, 0, 2, 3, 4, 1, 2, 3, 0, 2, 4, 3, 4, 0, 3, 3, 3, 4, 1, 4, 1, 4, 4, 3, 0, 0, 3, 2, 3, 1, 4, 1, 1, 0, 3, 2, 1, 1, 4, 2, 0, 2, 3, 2, 3, 4, 2, 1, 3, 3, 1, 2, 2, 0, 4, 4, 4, 1, 2, 0, 2, 3, 3, 4, 4, 0, 2, 1, 1, 4, 1, 0, 4, 1, 2, 1, 3, 2, 3, 1, 2, 0, 1, 3, 4, 4, 1, 3, 1, 4, 2, 0, 0, 1, 1, 2, 0, 1, 4, 4, 3, 3, 2, 1, 1, 1, 3, 3, 1, 3, 2, 2, 3, 3, 3, 3, 4, 4, 1, 2, 0, 4, 3, 2, 0, 1, 4, 0, 3, 4, 3, 1, 4, 0, 4, 2, 2, 2, 4, 1, 3, 1, 3, 0, 0, 1, 0, 4, 0, 1, 0, 3, 4, 4, 4, 4, 4, 3, 4, 0, 0, 2, 0, 1, 2, 0, 4, 4, 4, 1, 0, 4, 3, 4, 0, 0, 3, 4, 2, 3, 0, 4, 3, 1, 1, 3, 0, 3, 4, 2, 3, 4, 1, 1, 0, 2, 0, 1, 3, 3, 0, 1, 4, 4, 1, 4, 2, 0, 4, 4, 2, 4, 0, 0, 0, 2, 2, 0, 3, 4, 4, 2, 3, 4, 2, 2, 2, 2, 3, 3, 4, 2, 3, 3, 1, 3, 4, 0, 4, 2, 1, 1, 1, 2, 0, 3, 4, 3, 0, 0, 1, 1, 2, 4, 0, 4, 1, 3, 0, 2, 2, 2, 1, 4, 1, 3, 2, 3]
pubkeycol651 = [4, 4, 0, 0, 0, 2, 4, 3, 1, 3, 3, 3, 1, 3, 3, 0, 0, 1, 2, 0, 1, 2, 4, 2, 4, 3, 3, 2, 2, 4, 2, 2, 4, 3, 4, 4, 0, 2, 1, 2, 4, 1, 2, 3, 4, 3, 3, 2, 0, 2, 1, 2, 4, 2, 2, 0, 2, 3, 4, 1, 3, 1, 3, 3, 4, 3, 3, 4, 1, 0, 3, 4, 4, 3, 1, 2, 4, 2, 4, 4, 2, 4, 1, 3, 2, 2, 0, 1, 2, 3, 2, 1, 1, 4, 4, 3, 3, 4, 0, 3, 2, 2, 4, 3, 4, 0, 1, 3, 1, 3, 0, 1, 0, 2, 2, 1, 4, 2, 4, 1, 1, 3, 1, 0, 0, 0, 1, 4, 0, 3, 2, 0, 3, 1, 4, 4, 3, 4, 4, 2, 0, 2, 0, 4, 4, 0, 2, 0, 1, 1, 2, 1, 0, 3, 0, 1, 4, 0, 2, 2, 0, 2, 2, 0, 4, 0, 2, 2, 0, 1, 4, 0, 4, 4, 2, 4, 4, 0, 2, 0, 4, 4, 4, 0, 2, 0, 2, 3, 0, 2, 3, 2, 0, 0, 0, 2, 3, 1, 4, 0, 2, 0, 1, 1, 0, 3, 4, 4, 3, 3, 0, 3, 4, 1, 1, 1, 4, 0, 1, 2, 3, 2, 2, 3, 2, 4, 4, 4, 4, 1, 3, 1, 2, 1, 2, 2, 4, 3, 0, 1, 2, 2, 3, 1, 4, 1, 4, 3, 3, 2, 1, 4, 1, 4, 1, 0, 0, 4, 3, 2, 1, 3, 0, 3, 0, 1, 1, 2, 3, 3, 0, 3, 2, 0, 2, 0, 4, 1, 3, 2, 1, 4, 3, 4, 1, 3, 1, 0, 4, 2, 1, 2, 3, 2, 1, 0, 1, 3, 1, 1, 1, 2, 2, 0, 1, 2, 2, 3, 2, 2, 0, 4, 3, 1, 0, 2, 4, 0, 2, 1, 1, 3, 3, 4, 2, 1, 4, 0, 0, 3, 3, 3, 3, 2, 2, 3, 1, 1, 2, 1, 0, 0, 3, 4, 3, 4, 1, 0, 1, 3, 1, 1, 0, 2, 3, 0, 4, 1, 2, 4, 0, 4, 1, 0, 3, 1, 3, 0, 2, 1, 2, 4, 1, 1, 3, 2, 1, 1, 3, 3, 2, 0, 2, 1, 2, 4, 0, 3, 1, 1, 2, 3, 4, 0, 3, 4, 4, 2, 0, 4, 2, 0, 2, 1, 4, 2, 3, 0, 4, 1, 4, 1, 2, 0, 1, 2, 2, 4, 2, 3, 3, 0, 1, 0, 4, 0, 4, 2, 4, 4, 2, 1, 3, 3, 0, 2, 4, 1, 1, 2, 0, 3, 0, 2, 1, 3, 1, 3, 3, 3, 0, 2, 2, 1, 2, 3, 0, 4, 3, 0, 0, 0, 3, 2, 2, 3, 0, 2, 1, 1, 4, 0, 0, 4, 2, 3, 3, 3, 0, 2, 0, 3, 4, 2, 0, 2, 1, 4, 4, 1, 4, 2, 4, 2, 2, 3, 0, 2, 1, 1, 3, 2, 0, 4, 4]
pubkeycol652 = [1, 4, 3, 4, 0, 0, 1, 3, 1, 0, 1, 0, 3, 0, 4, 4, 1, 0, 0, 1, 3, 4, 1, 3, 1, 1, 1, 1, 3, 0, 4, 3, 1, 0, 0, 3, 4, 3, 0, 3, 4, 2, 0, 0, 1, 4, 3, 4, 0, 0, 2, 2, 4, 4, 4, 2, 2, 0, 1, 0, 0, 3, 2, 2, 3, 1, 0, 1, 4, 4, 1, 3, 0, 1, 0, 0, 2, 4, 1, 1, 2, 0, 0, 2, 4, 0, 0, 3, 1, 4, 2, 2, 0, 0, 4, 4, 3, 1, 1, 3, 4, 1, 0, 1, 0, 2, 0, 3, 2, 3, 2, 4, 1, 2, 0, 1, 4, 2, 1, 3, 4, 1, 1, 2, 0, 4, 0, 0, 3, 0, 1, 2, 2, 0, 2, 4, 2, 0, 0, 4, 4, 3, 2, 1, 1, 1, 0, 2, 4, 0, 0, 0, 4, 1, 2, 1, 1, 1, 2, 2, 0, 4, 1, 1, 0, 1, 2, 4, 0, 0, 0, 0, 2, 2, 4, 3, 2, 0, 2, 3, 1, 1, 3, 3, 4, 4, 0, 4, 1, 3, 2, 0, 3, 2, 2, 1, 0, 0, 1, 3, 1, 0, 4, 0, 4, 2, 3, 4, 2, 1, 2, 4, 0, 0, 4, 2, 0, 3, 4, 0, 4, 4, 2, 0, 0, 4, 1, 0, 4, 4, 2, 3, 3, 2, 2, 4, 4, 2, 3, 2, 0, 3, 1, 1, 2, 4, 0, 1, 4, 2, 2, 1, 3, 3, 0, 3, 4, 1, 1, 0, 4, 3, 4, 1, 0, 2, 4, 0, 2, 0, 3, 0, 3, 3, 2, 3, 3, 2, 2, 1, 0, 3, 2, 3, 4, 1, 1, 1, 4, 1, 2, 1, 4, 0, 2, 2, 0, 3, 0, 0, 3, 3, 2, 2, 2, 4, 0, 0, 3, 4, 3, 1, 1, 4, 0, 2, 1, 4, 4, 2, 0, 4, 0, 4, 0, 1, 0, 2, 2, 2, 2, 2, 1, 4, 0, 3, 1, 4, 3, 4, 0, 2, 3, 3, 4, 0, 0, 0, 3, 2, 0, 0, 4, 3, 2, 3, 4, 2, 0, 3, 2, 3, 2, 2, 0, 2, 1, 0, 0, 2, 0, 4, 0, 0, 3, 1, 1, 0, 0, 1, 1, 1, 3, 2, 3, 2, 4, 1, 1, 1, 1, 4, 4, 3, 3, 4, 3, 0, 0, 0, 0, 3, 4, 2, 2, 4, 4, 2, 4, 3, 3, 1, 4, 2, 1, 4, 1, 3, 3, 0, 4, 3, 0, 1, 2, 1, 2, 3, 3, 3, 0, 2, 4, 2, 4, 1, 2, 4, 4, 3, 0, 1, 3, 1, 2, 2, 1, 0, 0, 3, 2, 2, 3, 0, 1, 1, 4, 0, 4, 2, 0, 4, 4, 2, 3, 2, 2, 2, 2, 3, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 4, 2, 1, 4, 0, 4, 3, 3, 0, 0, 3, 0, 4, 2, 4, 3, 0, 2, 4, 0, 4, 1, 0, 3]
pubkeycol653 = [4, 4, 0, 1, 1, 4, 0, 2, 1, 0, 0, 3, 4, 1, 0, 4, 4, 1, 1, 0, 0, 4, 0, 0, 2, 3, 0, 2, 3, 0, 1, 0, 4, 2, 0, 4, 0, 2, 4, 0, 0, 4, 0, 0, 3, 1, 4, 3, 2, 3, 4, 0, 4, 2, 0, 0, 2, 1, 4, 4, 0, 3, 4, 0, 4, 4, 1, 1, 1, 3, 2, 1, 1, 1, 4, 3, 1, 0, 2, 1, 4, 2, 0, 3, 4, 2, 2, 2, 1, 1, 0, 1, 4, 1, 3, 2, 2, 4, 4, 1, 4, 2, 3, 1, 4, 4, 1, 2, 3, 3, 0, 2, 0, 4, 0, 3, 4, 4, 0, 3, 4, 1, 3, 4, 4, 4, 2, 0, 0, 0, 1, 0, 1, 3, 4, 2, 1, 3, 0, 3, 2, 2, 3, 1, 0, 4, 2, 4, 4, 4, 4, 0, 1, 2, 2, 2, 2, 4, 1, 4, 1, 3, 4, 1, 3, 1, 4, 3, 3, 1, 2, 4, 2, 2, 0, 3, 1, 1, 2, 2, 1, 2, 1, 4, 3, 3, 2, 1, 0, 4, 0, 3, 2, 4, 4, 2, 4, 1, 2, 2, 4, 3, 3, 1, 3, 2, 3, 0, 3, 4, 2, 1, 4, 1, 4, 4, 1, 1, 4, 1, 2, 1, 2, 4, 2, 2, 3, 2, 1, 0, 2, 2, 4, 2, 1, 3, 4, 2, 3, 1, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 2, 0, 2, 0, 1, 3, 3, 4, 3, 1, 0, 3, 4, 4, 3, 1, 3, 4, 4, 1, 0, 1, 0, 0, 4, 1, 0, 4, 0, 4, 2, 1, 1, 1, 3, 0, 3, 2, 2, 2, 3, 4, 4, 2, 0, 2, 3, 2, 1, 2, 4, 0, 3, 4, 4, 1, 1, 1, 2, 3, 2, 1, 2, 1, 4, 0, 3, 4, 4, 0, 0, 3, 3, 3, 2, 2, 3, 2, 4, 4, 3, 1, 2, 2, 3, 0, 2, 1, 0, 3, 3, 0, 3, 4, 4, 2, 0, 1, 1, 2, 4, 0, 3, 0, 4, 4, 1, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 0, 1, 0, 4, 2, 4, 4, 4, 1, 3, 2, 1, 4, 0, 4, 0, 3, 2, 0, 4, 3, 2, 4, 3, 0, 3, 3, 3, 0, 4, 3, 4, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 3, 0, 1, 4, 3, 4, 3, 4, 1, 3, 0, 2, 3, 3, 3, 0, 0, 2, 0, 4, 2, 1, 4, 0, 0, 4, 0, 2, 2, 4, 2, 4, 4, 0, 3, 4, 1, 2, 3, 3, 4, 4, 1, 1, 1, 3, 4, 1, 1, 4, 1, 4, 3, 0, 1, 3, 3, 4, 4, 2, 1, 3, 2, 2, 0, 2, 3, 1, 1, 0, 2, 4, 2, 0, 3, 1, 3, 3, 4, 0, 2, 4, 4, 2, 1, 4, 4, 1, 3, 2, 1, 1, 3]
pubkeycol654 = [1, 1, 4, 2, 2, 0, 3, 2, 3, 4, 2, 0, 4, 3, 3, 3, 4, 4, 0, 4, 0, 1, 3, 4, 3, 2, 1, 2, 1, 4, 1, 0, 0, 2, 0, 3, 2, 4, 2, 2, 1, 1, 0, 2, 2, 4, 2, 2, 0, 3, 3, 3, 0, 1, 2, 3, 0, 4, 1, 1, 3, 4, 3, 4, 1, 3, 0, 1, 4, 0, 2, 0, 2, 3, 4, 0, 3, 3, 1, 4, 1, 2, 1, 0, 3, 2, 2, 2, 2, 2, 0, 1, 3, 1, 2, 0, 4, 2, 4, 0, 4, 3, 4, 1, 1, 4, 2, 0, 1, 3, 1, 1, 3, 4, 2, 2, 4, 0, 1, 3, 4, 2, 2, 3, 1, 3, 3, 1, 1, 0, 0, 1, 4, 1, 1, 3, 3, 4, 3, 2, 2, 1, 3, 0, 4, 0, 3, 0, 4, 0, 0, 2, 1, 4, 0, 3, 2, 1, 0, 1, 1, 4, 3, 3, 1, 3, 3, 2, 2, 0, 0, 0, 3, 1, 4, 0, 2, 1, 4, 4, 4, 4, 1, 3, 1, 4, 4, 4, 2, 3, 2, 4, 2, 0, 1, 1, 0, 0, 0, 2, 3, 0, 3, 0, 2, 3, 4, 1, 1, 2, 4, 3, 1, 2, 0, 4, 0, 1, 1, 1, 1, 4, 0, 4, 2, 1, 0, 3, 0, 4, 0, 1, 1, 1, 4, 2, 0, 0, 1, 1, 2, 3, 0, 1, 0, 3, 0, 2, 1, 3, 3, 3, 4, 2, 1, 3, 0, 4, 3, 0, 0, 1, 4, 2, 4, 1, 2, 3, 2, 0, 1, 0, 0, 0, 2, 1, 4, 0, 0, 1, 3, 3, 2, 1, 4, 1, 4, 0, 2, 4, 3, 4, 0, 0, 2, 0, 4, 0, 4, 1, 0, 2, 4, 3, 1, 0, 2, 3, 0, 2, 0, 3, 0, 0, 3, 2, 1, 0, 4, 3, 3, 0, 1, 0, 3, 1, 2, 1, 0, 2, 4, 3, 0, 1, 0, 2, 0, 0, 2, 3, 1, 0, 4, 2, 0, 1, 3, 2, 0, 2, 0, 0, 0, 3, 2, 2, 3, 3, 2, 0, 0, 3, 1, 3, 1, 4, 4, 1, 0, 3, 4, 1, 4, 3, 4, 2, 4, 3, 1, 4, 3, 0, 0, 1, 3, 2, 2, 2, 2, 4, 3, 3, 1, 3, 3, 2, 2, 1, 1, 2, 3, 3, 4, 3, 1, 3, 4, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 3, 0, 4, 2, 3, 4, 1, 2, 1, 3, 4, 0, 3, 1, 4, 0, 4, 4, 2, 1, 1, 2, 4, 2, 0, 1, 0, 0, 3, 0, 1, 2, 2, 0, 2, 4, 4, 3, 4, 0, 0, 3, 2, 0, 2, 0, 4, 0, 3, 2, 0, 0, 2, 1, 4, 3, 4, 4, 3, 1, 0, 2, 0, 2, 4, 3, 1, 2, 2, 0, 2, 3, 0, 3, 0, 2, 1, 1, 1, 2, 3]
pubkeycol655 = [3, 0, 2, 3, 2, 2, 3, 1, 4, 0, 3, 1, 3, 4, 2, 0, 1, 4, 1, 3, 1, 0, 0, 3, 2, 2, 0, 3, 2, 3, 3, 0, 2, 1, 1, 3, 4, 1, 1, 0, 3, 4, 1, 2, 1, 3, 0, 0, 4, 2, 0, 1, 3, 2, 3, 3, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 4, 3, 0, 1, 4, 1, 1, 0, 0, 4, 4, 1, 3, 3, 4, 0, 3, 1, 3, 4, 4, 2, 3, 1, 3, 3, 1, 1, 3, 3, 0, 1, 2, 3, 0, 2, 4, 1, 1, 4, 0, 2, 3, 3, 4, 0, 4, 2, 1, 0, 0, 0, 0, 0, 2, 3, 2, 1, 1, 1, 0, 2, 4, 4, 3, 4, 4, 1, 0, 1, 4, 3, 2, 3, 4, 2, 0, 1, 3, 4, 3, 0, 1, 4, 1, 2, 2, 1, 2, 3, 0, 0, 4, 0, 0, 4, 2, 1, 3, 3, 1, 0, 3, 4, 4, 2, 3, 3, 4, 0, 1, 2, 4, 1, 2, 4, 3, 2, 3, 1, 2, 3, 2, 1, 3, 4, 3, 2, 2, 2, 0, 2, 4, 1, 4, 2, 2, 4, 3, 2, 3, 2, 4, 0, 1, 2, 4, 1, 2, 2, 0, 0, 4, 0, 3, 0, 0, 1, 1, 4, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 0, 4, 1, 1, 2, 2, 3, 2, 1, 0, 0, 0, 3, 3, 4, 2, 4, 4, 3, 1, 0, 2, 4, 4, 1, 2, 4, 1, 2, 4, 2, 4, 2, 1, 1, 3, 4, 1, 2, 3, 0, 2, 0, 2, 3, 2, 0, 4, 1, 0, 3, 1, 4, 4, 2, 2, 2, 0, 1, 1, 1, 4, 0, 1, 1, 0, 4, 0, 0, 1, 1, 3, 3, 4, 1, 3, 2, 4, 4, 0, 2, 3, 0, 4, 3, 2, 3, 2, 2, 2, 0, 4, 3, 2, 1, 4, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 4, 4, 0, 0, 1, 2, 1, 1, 4, 4, 3, 1, 3, 1, 4, 4, 1, 1, 3, 4, 1, 0, 4, 2, 3, 4, 0, 3, 3, 4, 4, 0, 4, 4, 3, 0, 3, 3, 2, 1, 0, 1, 3, 3, 0, 2, 3, 0, 0, 1, 4, 2, 0, 4, 0, 2, 4, 1, 4, 1, 2, 2, 0, 4, 0, 3, 3, 1, 0, 4, 4, 3, 4, 4, 3, 1, 2, 0, 1, 3, 2, 1, 3, 0, 3, 0, 2, 4, 4, 1, 1, 2, 3, 1, 1, 2, 2, 1, 0, 3, 4, 1, 3, 4, 1, 2, 1, 1, 2, 1, 1, 2, 4, 1, 3, 3, 2, 4, 1, 0, 0, 4, 3, 1, 3, 4, 2, 0, 3, 0, 0, 4, 0, 0, 2, 3, 0, 4, 2, 0, 0, 4, 4, 2, 3, 3, 1, 1, 4, 0, 2, 1, 1, 4, 4, 3, 4, 4, 0, 1]
pubkeycol656 = [3, 4, 4, 2, 2, 1, 1, 4, 4, 1, 1, 1, 1, 3, 3, 0, 0, 4, 4, 4, 4, 4, 4, 3, 3, 0, 3, 4, 0, 1, 3, 0, 2, 4, 4, 2, 1, 2, 0, 3, 2, 1, 0, 1, 1, 4, 2, 3, 2, 1, 2, 2, 2, 0, 0, 3, 1, 4, 3, 1, 1, 4, 4, 2, 3, 3, 4, 1, 3, 2, 4, 1, 2, 4, 4, 1, 3, 3, 3, 3, 3, 4, 1, 2, 0, 2, 1, 0, 3, 0, 3, 0, 0, 2, 2, 3, 3, 1, 1, 2, 4, 0, 3, 3, 4, 0, 2, 3, 2, 0, 0, 1, 2, 1, 4, 1, 3, 3, 3, 2, 0, 3, 4, 3, 3, 2, 0, 0, 0, 4, 3, 1, 4, 3, 3, 4, 2, 3, 1, 3, 4, 3, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 4, 4, 0, 3, 1, 4, 3, 4, 3, 1, 2, 1, 4, 4, 2, 2, 2, 0, 0, 2, 0, 4, 0, 4, 1, 2, 1, 0, 4, 0, 2, 3, 2, 0, 0, 2, 0, 4, 3, 2, 2, 2, 1, 4, 3, 4, 0, 3, 2, 4, 2, 3, 4, 3, 3, 2, 3, 3, 3, 1, 1, 4, 0, 0, 0, 2, 0, 3, 2, 2, 4, 2, 2, 4, 3, 3, 3, 3, 4, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 4, 2, 0, 2, 4, 0, 2, 2, 1, 3, 0, 0, 2, 4, 1, 3, 2, 2, 3, 0, 0, 2, 4, 1, 4, 1, 1, 1, 0, 3, 4, 2, 2, 2, 1, 3, 0, 2, 0, 3, 4, 0, 1, 0, 3, 4, 0, 4, 2, 3, 4, 4, 1, 1, 3, 1, 2, 2, 4, 1, 4, 2, 2, 0, 1, 0, 2, 1, 4, 0, 0, 3, 3, 0, 4, 1, 3, 3, 1, 4, 2, 0, 3, 2, 3, 4, 0, 2, 4, 1, 0, 2, 2, 1, 2, 0, 4, 3, 1, 4, 2, 0, 3, 1, 1, 0, 1, 2, 0, 3, 0, 4, 4, 2, 2, 2, 3, 0, 4, 4, 1, 0, 0, 3, 0, 4, 3, 3, 2, 0, 0, 4, 3, 3, 2, 0, 3, 3, 3, 0, 3, 3, 3, 4, 3, 0, 3, 4, 0, 1, 1, 0, 2, 3, 0, 0, 3, 3, 3, 2, 2, 4, 2, 4, 2, 3, 0, 2, 4, 0, 0, 4, 0, 4, 1, 2, 4, 2, 0, 2, 4, 3, 1, 2, 3, 1, 2, 3, 0, 2, 2, 4, 1, 2, 3, 0, 4, 0, 3, 0, 3, 1, 2, 1, 1, 1, 0, 3, 0, 2, 1, 2, 1, 0, 0, 0, 4, 3, 1, 1, 4, 0, 0, 1, 4, 3, 0, 4, 2, 4, 2, 1, 4, 0, 1, 2, 1, 1, 0, 3, 4, 2, 4, 1, 0, 3, 3, 2, 1, 0, 2, 3, 4, 4, 2, 1, 2, 2, 3, 0, 0, 3, 0, 3]
pubkeycol657 = [1, 1, 3, 2, 4, 2, 4, 2, 1, 3, 4, 1, 1, 4, 3, 0, 0, 1, 0, 2, 1, 0, 0, 0, 4, 2, 3, 1, 2, 1, 1, 1, 1, 3, 2, 4, 1, 1, 0, 3, 2, 3, 2, 1, 2, 0, 3, 1, 4, 1, 1, 3, 1, 0, 1, 0, 4, 2, 1, 4, 3, 4, 3, 0, 4, 2, 4, 1, 2, 3, 1, 4, 0, 2, 3, 2, 2, 3, 1, 1, 0, 0, 2, 0, 0, 2, 2, 4, 4, 2, 1, 2, 4, 1, 0, 4, 0, 0, 2, 2, 0, 2, 3, 4, 0, 1, 1, 1, 0, 3, 4, 3, 2, 1, 0, 0, 3, 0, 1, 1, 3, 2, 0, 3, 1, 3, 1, 3, 0, 1, 3, 2, 2, 2, 1, 1, 0, 3, 4, 1, 0, 1, 3, 3, 2, 1, 1, 4, 2, 2, 1, 1, 1, 1, 4, 2, 0, 0, 2, 3, 3, 1, 1, 2, 0, 1, 3, 1, 4, 0, 1, 1, 4, 3, 2, 2, 3, 1, 2, 0, 0, 4, 2, 3, 3, 3, 2, 2, 4, 1, 2, 0, 3, 0, 1, 2, 2, 3, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 3, 0, 4, 1, 4, 3, 2, 1, 1, 4, 0, 1, 2, 0, 0, 1, 3, 3, 1, 1, 4, 3, 4, 2, 2, 2, 3, 0, 4, 1, 1, 1, 3, 3, 3, 1, 3, 1, 4, 1, 2, 4, 4, 0, 3, 0, 2, 4, 3, 3, 0, 2, 4, 4, 4, 4, 0, 4, 3, 1, 3, 3, 1, 2, 1, 1, 1, 1, 4, 4, 2, 4, 1, 2, 2, 1, 0, 4, 1, 1, 2, 0, 1, 0, 3, 4, 2, 4, 0, 2, 0, 4, 3, 1, 4, 4, 3, 3, 0, 3, 2, 4, 4, 2, 2, 4, 1, 2, 0, 2, 3, 4, 0, 2, 3, 0, 2, 0, 1, 0, 4, 1, 3, 2, 4, 1, 2, 3, 1, 3, 1, 1, 1, 4, 2, 3, 1, 0, 3, 3, 2, 4, 2, 1, 3, 4, 3, 0, 4, 1, 1, 2, 0, 3, 3, 4, 2, 3, 0, 3, 4, 2, 3, 3, 4, 4, 0, 3, 1, 1, 2, 2, 1, 4, 0, 2, 2, 1, 0, 4, 3, 2, 0, 3, 4, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 4, 1, 2, 0, 0, 4, 4, 4, 1, 4, 1, 0, 0, 4, 4, 1, 0, 2, 0, 4, 2, 0, 3, 0, 3, 2, 2, 4, 3, 2, 3, 0, 0, 1, 3, 0, 4, 4, 2, 3, 0, 0, 3, 0, 1, 1, 0, 4, 1, 0, 2, 4, 2, 3, 1, 0, 0, 0, 0, 1, 2, 1, 1, 4, 1, 1, 2, 2, 3, 1, 3, 3, 1, 2, 3, 1, 4, 2, 3, 0, 3, 0, 3, 1, 1, 3, 0, 4, 3, 1, 3, 1, 4, 1, 0, 3, 4, 2]
pubkeycol658 = [0, 1, 0, 4, 4, 3, 1, 2, 1, 4, 4, 4, 0, 2, 4, 3, 2, 1, 3, 2, 0, 2, 2, 4, 0, 2, 2, 3, 2, 1, 0, 4, 4, 4, 1, 3, 3, 1, 1, 4, 4, 4, 2, 2, 0, 4, 2, 4, 0, 2, 0, 4, 2, 1, 3, 1, 4, 3, 0, 0, 3, 3, 3, 0, 2, 0, 3, 0, 0, 4, 0, 4, 3, 0, 0, 0, 0, 1, 1, 0, 2, 0, 3, 2, 4, 4, 0, 3, 0, 2, 4, 1, 4, 2, 4, 4, 0, 1, 1, 3, 2, 0, 0, 1, 3, 3, 3, 3, 2, 2, 1, 3, 4, 2, 2, 4, 4, 4, 2, 2, 3, 3, 3, 3, 3, 1, 0, 4, 1, 1, 0, 1, 0, 4, 3, 3, 1, 1, 1, 1, 1, 4, 0, 4, 3, 3, 4, 3, 0, 0, 2, 2, 2, 4, 3, 1, 4, 1, 4, 0, 4, 3, 3, 1, 4, 3, 0, 3, 0, 0, 4, 1, 4, 4, 4, 4, 2, 2, 2, 2, 4, 1, 0, 3, 3, 2, 3, 1, 0, 3, 3, 0, 4, 4, 0, 3, 1, 4, 1, 4, 4, 3, 0, 2, 2, 4, 1, 3, 2, 0, 2, 2, 3, 2, 2, 0, 3, 1, 4, 4, 4, 1, 2, 3, 2, 0, 3, 4, 2, 1, 3, 3, 0, 4, 2, 1, 1, 1, 3, 4, 1, 3, 4, 1, 2, 4, 3, 0, 0, 4, 0, 4, 0, 1, 0, 1, 3, 2, 0, 1, 3, 0, 3, 4, 1, 1, 4, 1, 1, 4, 0, 2, 4, 3, 3, 1, 3, 0, 0, 1, 0, 1, 1, 0, 1, 4, 3, 2, 1, 1, 3, 0, 0, 3, 0, 1, 3, 3, 1, 1, 0, 3, 4, 0, 4, 3, 4, 0, 2, 1, 1, 3, 0, 1, 1, 2, 3, 0, 1, 2, 2, 3, 1, 2, 2, 4, 3, 0, 3, 2, 0, 1, 4, 4, 2, 0, 0, 3, 3, 0, 4, 1, 4, 3, 1, 2, 0, 4, 0, 0, 1, 0, 4, 3, 4, 3, 1, 3, 1, 1, 3, 3, 2, 0, 1, 1, 2, 0, 1, 0, 2, 3, 1, 3, 0, 1, 0, 4, 3, 2, 4, 4, 2, 4, 1, 4, 1, 4, 1, 3, 3, 1, 2, 0, 4, 3, 0, 0, 2, 3, 2, 2, 2, 1, 1, 2, 3, 1, 0, 4, 4, 1, 4, 0, 2, 4, 2, 0, 1, 2, 0, 3, 4, 0, 0, 1, 1, 0, 2, 0, 4, 2, 0, 1, 2, 0, 1, 1, 2, 2, 3, 1, 2, 2, 0, 4, 2, 1, 0, 2, 3, 0, 4, 4, 2, 3, 0, 4, 4, 3, 1, 3, 2, 2, 1, 1, 3, 2, 0, 0, 1, 0, 3, 2, 4, 4, 4, 1, 4, 3, 0, 4, 3, 2, 2, 3, 2, 3, 0, 4, 3, 4, 3, 2, 2, 3, 1, 2, 3, 1, 2, 4, 0, 3, 3]
pubkeycol659 = [2, 3, 0, 4, 3, 0, 3, 2, 1, 3, 1, 1, 4, 3, 4, 1, 2, 0, 2, 3, 3, 4, 3, 2, 2, 2, 0, 3, 1, 3, 3, 4, 3, 0, 1, 1, 0, 0, 4, 3, 4, 4, 1, 2, 0, 0, 0, 4, 2, 2, 2, 2, 4, 2, 2, 1, 0, 0, 4, 4, 3, 2, 1, 2, 0, 4, 1, 0, 0, 3, 4, 2, 1, 1, 3, 0, 3, 3, 2, 3, 4, 4, 1, 3, 0, 0, 0, 1, 2, 3, 0, 0, 0, 2, 1, 4, 0, 4, 2, 0, 2, 3, 1, 4, 0, 1, 2, 4, 3, 4, 4, 1, 3, 4, 0, 4, 4, 3, 0, 4, 3, 2, 0, 0, 0, 3, 1, 1, 3, 2, 1, 1, 3, 4, 4, 1, 2, 4, 2, 3, 1, 4, 3, 1, 2, 2, 1, 1, 4, 4, 4, 4, 3, 2, 0, 0, 2, 3, 3, 1, 2, 3, 0, 0, 2, 4, 2, 2, 4, 2, 4, 3, 2, 2, 3, 3, 1, 4, 0, 0, 0, 4, 4, 4, 4, 3, 3, 0, 3, 0, 0, 1, 2, 4, 4, 4, 2, 3, 1, 1, 2, 1, 4, 2, 2, 0, 0, 2, 4, 2, 0, 2, 0, 3, 0, 2, 0, 4, 4, 3, 0, 2, 0, 4, 4, 3, 3, 4, 4, 4, 4, 4, 0, 2, 4, 4, 3, 4, 0, 3, 2, 2, 3, 0, 2, 0, 2, 3, 1, 4, 0, 4, 1, 2, 1, 2, 3, 4, 1, 0, 1, 1, 3, 1, 3, 0, 1, 0, 3, 0, 2, 3, 1, 1, 2, 2, 3, 2, 3, 2, 0, 4, 2, 1, 3, 0, 2, 4, 0, 2, 0, 1, 4, 4, 1, 2, 4, 1, 1, 4, 3, 2, 3, 3, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 3, 4, 1, 0, 3, 1, 3, 0, 2, 1, 1, 2, 3, 1, 3, 4, 2, 0, 3, 0, 1, 0, 4, 0, 0, 2, 1, 0, 2, 3, 1, 0, 2, 1, 0, 2, 4, 1, 1, 2, 0, 0, 2, 1, 2, 3, 2, 0, 2, 4, 2, 3, 0, 3, 0, 4, 4, 0, 0, 1, 2, 0, 0, 2, 3, 0, 3, 1, 4, 0, 0, 4, 2, 4, 1, 1, 4, 3, 2, 0, 3, 4, 2, 0, 2, 1, 3, 0, 0, 1, 0, 3, 3, 1, 4, 4, 4, 3, 2, 3, 4, 4, 1, 4, 4, 0, 0, 4, 0, 0, 2, 0, 3, 3, 1, 0, 2, 0, 1, 1, 0, 2, 1, 4, 1, 1, 4, 0, 2, 1, 3, 3, 2, 3, 4, 4, 2, 3, 4, 3, 0, 1, 1, 4, 1, 4, 2, 0, 4, 1, 4, 3, 0, 4, 1, 1, 4, 3, 1, 2, 2, 3, 4, 2, 0, 4, 2, 3, 4, 1, 1, 2, 0, 4, 0, 0, 2, 1, 2, 4, 1, 0, 2, 3, 2, 3, 1, 4, 0, 2, 3]
pubkeycol660 = [0, 1, 1, 0, 3, 0, 0, 2, 1, 2, 4, 4, 0, 4, 0, 2, 1, 0, 0, 3, 1, 0, 3, 4, 3, 2, 0, 3, 3, 4, 0, 4, 0, 1, 3, 2, 1, 4, 0, 1, 1, 0, 2, 1, 3, 4, 2, 0, 3, 3, 3, 3, 3, 3, 1, 3, 4, 1, 0, 4, 1, 1, 4, 0, 3, 3, 3, 2, 3, 3, 2, 0, 3, 2, 1, 3, 4, 1, 3, 4, 3, 4, 0, 2, 2, 1, 4, 3, 2, 2, 0, 3, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 4, 4, 0, 2, 3, 3, 0, 1, 0, 1, 1, 4, 2, 0, 3, 1, 2, 0, 3, 0, 0, 2, 3, 0, 4, 3, 1, 4, 2, 0, 1, 0, 2, 4, 3, 1, 3, 0, 3, 1, 0, 3, 4, 1, 4, 0, 0, 3, 3, 4, 3, 2, 3, 3, 4, 3, 0, 0, 4, 4, 1, 4, 1, 1, 1, 4, 1, 0, 0, 0, 0, 3, 3, 3, 2, 1, 4, 2, 0, 0, 0, 3, 2, 1, 1, 4, 2, 0, 2, 1, 0, 3, 1, 4, 3, 2, 4, 3, 1, 0, 1, 1, 2, 4, 1, 0, 1, 4, 1, 3, 2, 3, 4, 0, 0, 4, 0, 1, 4, 4, 4, 0, 3, 4, 0, 3, 1, 2, 2, 3, 3, 1, 2, 0, 3, 2, 2, 1, 1, 2, 1, 0, 0, 4, 2, 1, 4, 3, 1, 0, 4, 1, 2, 0, 2, 2, 0, 4, 0, 3, 3, 4, 4, 2, 2, 3, 3, 1, 2, 2, 1, 3, 3, 4, 1, 4, 0, 1, 2, 1, 2, 4, 2, 4, 0, 4, 3, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 4, 4, 4, 4, 3, 2, 1, 3, 4, 3, 0, 0, 0, 3, 2, 2, 2, 1, 1, 3, 3, 2, 1, 1, 4, 3, 4, 1, 3, 2, 0, 1, 3, 4, 0, 2, 1, 1, 1, 3, 1, 4, 2, 3, 0, 0, 3, 2, 0, 0, 4, 0, 0, 2, 3, 1, 3, 0, 0, 4, 4, 4, 0, 3, 1, 3, 3, 1, 2, 4, 4, 1, 1, 1, 1, 0, 1, 1, 3, 2, 1, 0, 0, 1, 3, 4, 2, 0, 2, 2, 0, 3, 3, 1, 3, 3, 2, 4, 3, 3, 2, 2, 3, 3, 2, 1, 1, 2, 4, 4, 4, 4, 2, 1, 0, 4, 3, 4, 4, 2, 4, 3, 3, 3, 0, 0, 2, 0, 2, 0, 4, 2, 2, 4, 3, 1, 2, 4, 1, 0, 2, 0, 4, 3, 1, 2, 4, 0, 4, 4, 1, 1, 3, 3, 0, 2, 4, 3, 0, 4, 2, 2, 3, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 3, 4, 0, 3, 1, 2, 2, 2, 1, 1, 0, 3, 1, 0, 2, 4, 1, 1, 3, 1, 2, 1, 1, 1, 0, 3, 3]
pubkeycol661 = [0, 0, 1, 0, 0, 0, 3, 0, 4, 3, 2, 3, 3, 4, 2, 0, 3, 0, 2, 4, 3, 3, 0, 1, 0, 3, 4, 2, 3, 4, 4, 4, 2, 3, 1, 4, 1, 2, 2, 3, 3, 3, 0, 0, 1, 4, 1, 0, 1, 4, 1, 4, 4, 3, 4, 2, 2, 4, 0, 1, 1, 4, 2, 2, 0, 2, 0, 3, 2, 3, 4, 3, 4, 1, 3, 0, 0, 1, 0, 2, 0, 3, 3, 2, 1, 1, 4, 3, 1, 3, 2, 1, 1, 4, 1, 1, 0, 0, 3, 3, 2, 4, 1, 1, 1, 1, 4, 0, 4, 4, 4, 1, 0, 0, 4, 1, 0, 3, 1, 3, 2, 3, 0, 2, 4, 0, 0, 4, 0, 3, 2, 1, 1, 3, 1, 1, 3, 0, 1, 2, 0, 1, 4, 3, 3, 0, 3, 1, 4, 1, 0, 2, 2, 0, 1, 3, 4, 1, 4, 4, 4, 3, 0, 3, 0, 0, 1, 4, 2, 3, 3, 4, 0, 3, 1, 4, 2, 4, 0, 0, 1, 3, 2, 1, 1, 2, 3, 2, 0, 0, 4, 2, 0, 3, 0, 3, 3, 3, 2, 2, 3, 2, 1, 1, 1, 0, 0, 3, 4, 0, 2, 2, 3, 0, 2, 4, 1, 4, 1, 3, 4, 4, 0, 2, 4, 3, 0, 3, 2, 1, 3, 0, 4, 3, 1, 1, 2, 1, 3, 0, 2, 0, 3, 1, 2, 0, 0, 3, 0, 3, 3, 2, 3, 0, 0, 1, 2, 4, 0, 4, 3, 0, 1, 3, 2, 0, 3, 3, 1, 2, 0, 4, 0, 1, 0, 0, 3, 3, 0, 1, 1, 1, 2, 3, 1, 4, 2, 2, 3, 0, 0, 0, 0, 3, 4, 1, 2, 3, 4, 3, 0, 0, 2, 4, 3, 3, 2, 0, 3, 4, 4, 0, 0, 4, 2, 0, 1, 4, 3, 2, 2, 0, 1, 3, 0, 3, 2, 2, 1, 3, 1, 3, 1, 3, 0, 4, 4, 4, 3, 0, 3, 1, 3, 4, 1, 3, 3, 2, 3, 2, 0, 4, 4, 0, 3, 3, 3, 3, 4, 2, 0, 0, 3, 4, 1, 2, 2, 4, 4, 3, 0, 0, 1, 0, 2, 1, 4, 4, 2, 3, 2, 0, 4, 0, 4, 2, 2, 4, 2, 1, 1, 3, 3, 4, 1, 0, 3, 3, 1, 1, 2, 1, 3, 2, 4, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 3, 2, 1, 4, 3, 4, 3, 3, 3, 2, 3, 3, 2, 4, 4, 2, 2, 2, 2, 3, 2, 0, 0, 1, 3, 2, 4, 1, 4, 1, 0, 3, 4, 3, 2, 0, 4, 2, 4, 3, 4, 1, 2, 4, 4, 1, 2, 3, 4, 4, 4, 4, 4, 1, 0, 1, 4, 3, 4, 4, 3, 4, 4, 3, 0, 2, 3, 3, 1, 3, 3, 0, 3, 2, 0, 3, 4, 3, 1, 0, 1, 2, 4, 4, 0, 1, 2, 2, 3, 1]
pubkeycol662 = [1, 1, 0, 4, 1, 3, 3, 2, 2, 0, 1, 3, 3, 2, 3, 2, 2, 2, 1, 4, 1, 1, 0, 1, 3, 1, 3, 1, 3, 4, 4, 3, 1, 3, 4, 0, 4, 0, 3, 0, 1, 3, 3, 4, 3, 3, 0, 2, 3, 1, 3, 3, 1, 3, 3, 1, 3, 1, 1, 2, 0, 3, 0, 2, 1, 2, 4, 4, 1, 0, 4, 3, 0, 1, 0, 0, 4, 0, 4, 2, 4, 3, 0, 0, 0, 4, 0, 4, 2, 4, 2, 4, 4, 3, 3, 2, 2, 2, 2, 4, 2, 1, 4, 1, 4, 1, 0, 4, 3, 2, 0, 3, 3, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 3, 4, 3, 2, 0, 0, 3, 1, 0, 3, 3, 1, 2, 1, 3, 1, 3, 3, 4, 0, 1, 0, 3, 3, 2, 0, 4, 1, 2, 4, 1, 4, 0, 4, 0, 2, 1, 0, 4, 4, 3, 2, 4, 0, 2, 2, 1, 3, 4, 3, 1, 0, 0, 1, 4, 0, 1, 3, 0, 3, 2, 1, 4, 2, 4, 3, 2, 2, 1, 4, 2, 0, 2, 1, 0, 3, 1, 3, 4, 1, 0, 3, 4, 1, 3, 1, 4, 3, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 3, 1, 1, 3, 4, 3, 2, 2, 4, 3, 3, 1, 1, 1, 2, 2, 4, 3, 2, 1, 4, 3, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 4, 2, 0, 4, 2, 3, 4, 0, 1, 4, 2, 0, 0, 0, 4, 0, 1, 2, 0, 3, 1, 2, 4, 4, 3, 0, 2, 3, 2, 4, 0, 0, 0, 0, 3, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 4, 1, 4, 3, 0, 1, 2, 1, 3, 3, 3, 4, 0, 4, 0, 3, 0, 0, 1, 1, 4, 0, 0, 3, 2, 1, 1, 3, 4, 1, 2, 0, 3, 0, 2, 1, 3, 1, 1, 1, 1, 0, 2, 2, 3, 4, 3, 0, 0, 1, 3, 3, 3, 2, 4, 3, 4, 2, 0, 4, 3, 1, 2, 1, 3, 2, 3, 4, 0, 2, 3, 4, 2, 4, 4, 1, 1, 0, 1, 1, 2, 1, 1, 4, 1, 1, 4, 2, 4, 4, 1, 0, 2, 3, 0, 2, 4, 0, 1, 0, 4, 0, 0, 3, 0, 3, 1, 0, 3, 1, 3, 4, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 3, 0, 0, 4, 2, 0, 3, 0, 0, 1, 1, 0, 3, 1, 4, 3, 0, 2, 0, 3, 3, 2, 4, 0, 0, 2, 3, 2, 3, 0, 1, 0, 3, 1, 0, 3, 4, 0, 1, 1, 0, 4, 2, 0, 3, 3, 2, 3, 2, 2, 2, 0, 3, 3, 2, 4, 4, 1, 1, 2, 0, 4, 0, 1, 0, 2, 3, 2, 3, 0, 2, 0, 4, 2, 2, 0, 2, 0, 4]
pubkeycol663 = [1, 0, 1, 1, 3, 1, 3, 0, 1, 4, 4, 1, 2, 0, 1, 0, 2, 1, 3, 1, 0, 4, 2, 0, 3, 3, 0, 4, 2, 0, 1, 1, 3, 1, 0, 3, 4, 3, 4, 2, 1, 3, 1, 2, 2, 4, 0, 2, 4, 1, 4, 3, 3, 0, 0, 4, 2, 3, 3, 3, 1, 4, 0, 0, 3, 2, 1, 0, 2, 3, 4, 4, 4, 3, 1, 0, 4, 4, 4, 2, 2, 0, 3, 4, 3, 0, 2, 3, 2, 0, 2, 4, 1, 4, 1, 2, 2, 4, 1, 3, 0, 4, 1, 4, 4, 2, 4, 2, 1, 4, 1, 2, 2, 4, 1, 0, 0, 2, 1, 3, 2, 1, 4, 1, 0, 0, 4, 4, 0, 4, 0, 3, 3, 0, 1, 3, 1, 3, 0, 3, 0, 1, 0, 0, 3, 0, 0, 2, 4, 4, 1, 0, 3, 3, 3, 2, 3, 1, 3, 3, 0, 0, 4, 0, 4, 2, 4, 1, 3, 1, 3, 3, 4, 2, 4, 1, 0, 1, 1, 3, 3, 2, 0, 0, 3, 4, 2, 0, 1, 2, 1, 1, 2, 3, 4, 1, 4, 4, 0, 0, 1, 4, 1, 4, 2, 4, 1, 2, 2, 3, 0, 1, 1, 0, 0, 2, 3, 3, 3, 0, 3, 1, 4, 3, 3, 4, 1, 3, 0, 4, 2, 0, 0, 0, 2, 2, 4, 1, 4, 3, 3, 4, 0, 1, 0, 0, 4, 1, 3, 2, 4, 1, 2, 0, 4, 2, 3, 4, 2, 3, 1, 1, 4, 3, 0, 2, 4, 1, 4, 4, 3, 2, 4, 4, 3, 4, 3, 0, 4, 0, 3, 4, 2, 0, 3, 2, 4, 1, 3, 4, 2, 4, 3, 4, 2, 2, 4, 0, 3, 3, 0, 4, 1, 1, 2, 4, 4, 3, 3, 4, 1, 4, 3, 0, 1, 2, 1, 0, 2, 1, 1, 3, 4, 1, 3, 1, 4, 0, 0, 4, 0, 1, 2, 2, 0, 0, 3, 1, 1, 2, 4, 4, 3, 4, 1, 4, 4, 1, 3, 0, 3, 0, 1, 0, 3, 3, 0, 0, 0, 3, 3, 3, 2, 0, 0, 0, 3, 3, 3, 4, 1, 4, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 3, 0, 4, 4, 3, 0, 3, 1, 0, 1, 1, 1, 3, 3, 4, 1, 0, 4, 1, 4, 3, 2, 4, 0, 4, 1, 4, 2, 4, 2, 1, 2, 3, 2, 3, 4, 3, 1, 1, 4, 3, 2, 4, 3, 2, 1, 1, 4, 4, 2, 1, 3, 3, 2, 3, 0, 0, 1, 1, 3, 0, 4, 2, 1, 4, 2, 1, 3, 1, 3, 4, 4, 0, 1, 2, 4, 2, 4, 0, 2, 2, 3, 4, 2, 3, 0, 1, 1, 0, 4, 2, 4, 0, 1, 4, 4, 4, 3, 1, 4, 4, 3, 4, 1, 0, 4, 1, 1, 2, 3, 0, 2, 4, 1, 0, 1, 0, 3, 0, 1, 3, 1, 1]
pubkeycol664 = [3, 3, 1, 1, 3, 1, 3, 3, 4, 1, 3, 0, 1, 2, 4, 0, 3, 0, 0, 4, 3, 3, 3, 3, 3, 0, 4, 2, 2, 0, 1, 4, 2, 4, 1, 0, 2, 0, 1, 0, 0, 0, 2, 3, 4, 2, 2, 1, 3, 3, 1, 4, 4, 3, 4, 4, 3, 1, 2, 0, 2, 0, 4, 1, 1, 2, 4, 4, 3, 2, 2, 0, 3, 0, 3, 3, 0, 3, 1, 4, 1, 0, 0, 3, 0, 4, 3, 4, 0, 3, 3, 2, 2, 2, 2, 1, 1, 4, 4, 0, 4, 3, 4, 1, 1, 0, 4, 3, 0, 1, 2, 2, 4, 1, 4, 2, 2, 0, 4, 3, 3, 0, 0, 0, 1, 0, 3, 0, 4, 4, 2, 0, 2, 4, 1, 1, 4, 3, 0, 0, 2, 0, 0, 4, 1, 3, 3, 4, 2, 0, 4, 3, 3, 4, 2, 2, 0, 3, 2, 3, 3, 0, 4, 3, 2, 1, 1, 1, 2, 4, 3, 2, 3, 3, 1, 4, 4, 4, 1, 1, 2, 4, 2, 1, 4, 1, 0, 3, 1, 1, 1, 0, 3, 3, 2, 4, 4, 2, 4, 3, 4, 1, 3, 4, 3, 2, 1, 3, 1, 2, 3, 0, 0, 2, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 4, 0, 0, 1, 0, 2, 4, 2, 0, 4, 0, 0, 0, 4, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 3, 1, 3, 1, 1, 1, 1, 1, 0, 3, 4, 3, 1, 2, 0, 0, 0, 1, 1, 4, 3, 1, 0, 0, 1, 1, 0, 4, 3, 1, 1, 1, 3, 0, 2, 1, 4, 0, 3, 4, 4, 3, 4, 3, 0, 0, 3, 0, 3, 2, 4, 2, 4, 3, 3, 2, 1, 4, 3, 4, 2, 4, 1, 1, 1, 0, 3, 1, 3, 3, 0, 4, 0, 3, 1, 3, 2, 4, 4, 1, 1, 1, 2, 4, 4, 1, 1, 3, 1, 4, 2, 4, 2, 3, 3, 4, 2, 4, 0, 1, 3, 4, 1, 1, 1, 4, 1, 4, 0, 4, 3, 3, 0, 0, 0, 1, 2, 1, 2, 4, 2, 0, 1, 1, 1, 4, 3, 4, 4, 2, 4, 2, 1, 3, 0, 4, 4, 0, 3, 1, 2, 1, 3, 2, 1, 3, 1, 3, 0, 1, 1, 0, 1, 4, 4, 1, 3, 0, 1, 2, 0, 1, 0, 1, 2, 2, 4, 1, 4, 0, 0, 1, 2, 2, 3, 3, 0, 1, 3, 1, 4, 4, 1, 1, 1, 0, 3, 2, 4, 2, 4, 3, 0, 1, 1, 3, 3, 2, 2, 1, 4, 3, 0, 1, 1, 3, 1, 3, 0, 0, 3, 2, 4, 2, 4, 2, 2, 0, 3, 2, 0, 3, 2, 2, 4, 4, 0, 4, 2, 0, 3, 2, 1, 0, 4, 1, 3, 1, 3, 3, 4, 0, 0, 0, 4, 2, 0, 2, 0, 0, 0, 1]
pubkeycol665 = [3, 3, 0, 4, 0, 2, 4, 1, 0, 3, 1, 1, 4, 3, 0, 0, 3, 2, 1, 0, 2, 1, 2, 1, 0, 3, 0, 1, 4, 4, 1, 1, 3, 3, 1, 3, 4, 3, 3, 1, 1, 2, 0, 3, 1, 0, 3, 3, 0, 4, 3, 3, 4, 2, 1, 2, 4, 0, 1, 4, 0, 0, 0, 1, 4, 2, 0, 4, 3, 1, 1, 4, 0, 1, 0, 4, 4, 2, 3, 0, 3, 1, 4, 3, 4, 2, 2, 2, 2, 4, 4, 1, 3, 3, 0, 3, 2, 1, 2, 3, 4, 3, 1, 3, 3, 2, 0, 2, 2, 2, 1, 4, 4, 0, 4, 4, 3, 0, 4, 3, 3, 2, 4, 3, 4, 2, 3, 2, 2, 2, 2, 0, 2, 0, 1, 1, 3, 1, 2, 2, 2, 1, 1, 1, 3, 1, 4, 1, 1, 0, 0, 4, 2, 1, 2, 2, 4, 2, 2, 1, 3, 1, 1, 2, 3, 4, 4, 4, 3, 2, 0, 2, 2, 4, 4, 1, 3, 3, 0, 2, 4, 4, 1, 2, 1, 1, 0, 0, 3, 3, 4, 1, 2, 2, 4, 0, 3, 3, 0, 4, 3, 1, 0, 2, 1, 4, 1, 3, 1, 3, 3, 1, 2, 1, 1, 2, 0, 2, 1, 3, 4, 1, 0, 4, 1, 2, 1, 4, 4, 3, 4, 3, 3, 1, 0, 0, 3, 1, 4, 4, 1, 1, 0, 2, 2, 1, 0, 3, 4, 3, 2, 3, 4, 0, 2, 2, 1, 2, 4, 1, 2, 4, 1, 1, 2, 4, 4, 2, 2, 1, 4, 3, 2, 3, 0, 1, 2, 4, 0, 1, 3, 2, 0, 1, 1, 3, 3, 2, 1, 4, 1, 0, 0, 4, 3, 4, 0, 2, 2, 3, 1, 2, 1, 4, 2, 2, 4, 0, 3, 0, 1, 4, 1, 3, 1, 3, 2, 2, 1, 0, 2, 2, 0, 1, 2, 4, 1, 2, 1, 2, 4, 3, 3, 3, 4, 4, 1, 3, 4, 4, 0, 1, 0, 1, 0, 4, 1, 3, 3, 2, 4, 1, 3, 0, 1, 2, 0, 0, 4, 0, 0, 3, 4, 0, 3, 1, 4, 4, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 4, 0, 0, 2, 4, 1, 2, 2, 3, 1, 2, 0, 3, 3, 3, 0, 3, 3, 0, 2, 0, 1, 3, 3, 2, 3, 2, 4, 0, 1, 1, 3, 1, 1, 4, 4, 3, 0, 4, 2, 1, 1, 4, 3, 0, 0, 0, 2, 3, 3, 2, 0, 4, 2, 3, 4, 2, 3, 1, 4, 3, 2, 1, 0, 2, 1, 0, 1, 2, 0, 3, 1, 0, 2, 1, 4, 4, 4, 0, 3, 0, 0, 1, 2, 0, 1, 1, 1, 3, 4, 3, 0, 0, 2, 3, 1, 1, 1, 3, 1, 2, 4, 0, 4, 3, 3, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 3, 1, 0, 0, 0, 4, 0, 0, 0, 2, 0]
pubkeycol666 = [3, 1, 1, 4, 0, 0, 2, 4, 3, 4, 0, 3, 1, 3, 4, 3, 2, 4, 1, 1, 2, 4, 1, 0, 0, 0, 1, 0, 4, 2, 3, 4, 2, 1, 1, 3, 3, 2, 3, 0, 3, 2, 4, 1, 3, 1, 4, 0, 0, 0, 4, 2, 1, 3, 3, 0, 2, 2, 4, 3, 0, 2, 4, 0, 4, 4, 3, 2, 1, 3, 4, 3, 2, 3, 1, 3, 3, 2, 0, 4, 1, 0, 3, 2, 0, 1, 3, 2, 0, 0, 0, 3, 0, 2, 4, 2, 4, 4, 0, 0, 0, 4, 3, 0, 2, 0, 0, 3, 2, 0, 1, 4, 0, 3, 0, 3, 2, 0, 3, 2, 1, 1, 2, 1, 2, 2, 3, 3, 1, 2, 2, 4, 0, 1, 1, 3, 2, 4, 2, 0, 4, 3, 0, 1, 0, 2, 3, 4, 3, 1, 3, 4, 0, 1, 0, 0, 0, 3, 0, 0, 1, 4, 3, 2, 4, 0, 4, 1, 1, 0, 2, 0, 4, 2, 1, 4, 1, 0, 0, 2, 4, 1, 2, 4, 4, 3, 2, 3, 1, 2, 2, 4, 3, 3, 1, 1, 3, 4, 2, 3, 4, 0, 0, 4, 1, 0, 4, 4, 4, 3, 4, 4, 0, 2, 4, 0, 0, 0, 2, 4, 0, 3, 1, 2, 2, 4, 0, 2, 3, 1, 1, 3, 0, 4, 1, 2, 0, 4, 3, 0, 2, 0, 2, 1, 2, 1, 2, 4, 1, 2, 3, 0, 3, 0, 3, 0, 0, 4, 2, 1, 2, 1, 3, 2, 4, 3, 4, 3, 2, 2, 0, 3, 2, 4, 3, 3, 0, 0, 0, 2, 4, 3, 0, 3, 4, 2, 3, 0, 3, 1, 2, 3, 3, 1, 0, 1, 1, 1, 2, 2, 3, 0, 0, 3, 4, 4, 1, 1, 0, 2, 0, 2, 2, 4, 4, 2, 1, 2, 0, 3, 0, 1, 3, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 3, 4, 4, 2, 1, 1, 0, 3, 0, 1, 3, 4, 2, 2, 3, 3, 3, 2, 0, 4, 1, 0, 4, 3, 3, 0, 0, 3, 2, 1, 4, 4, 0, 3, 0, 3, 1, 0, 4, 0, 0, 0, 3, 4, 0, 1, 1, 1, 4, 1, 1, 1, 1, 3, 4, 3, 1, 3, 1, 0, 3, 2, 4, 0, 4, 2, 0, 4, 4, 4, 0, 3, 3, 3, 3, 2, 3, 2, 4, 0, 1, 3, 3, 1, 2, 1, 0, 0, 4, 1, 1, 1, 1, 3, 3, 4, 0, 1, 0, 3, 4, 1, 4, 0, 2, 4, 0, 3, 1, 3, 2, 2, 0, 4, 2, 4, 1, 3, 0, 1, 3, 0, 3, 1, 4, 2, 2, 1, 1, 1, 2, 0, 0, 0, 3, 1, 4, 3, 2, 4, 4, 4, 4, 4, 1, 3, 4, 1, 3, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 3, 3, 2, 0, 3, 1, 2, 3]
pubkeycol667 = [2, 0, 4, 1, 4, 1, 4, 4, 3, 3, 1, 0, 3, 3, 1, 0, 4, 4, 0, 3, 0, 2, 0, 3, 3, 0, 1, 1, 1, 1, 4, 1, 2, 3, 1, 2, 1, 3, 2, 2, 3, 1, 4, 2, 2, 3, 1, 0, 0, 1, 4, 3, 2, 0, 2, 1, 4, 3, 3, 1, 2, 1, 2, 0, 3, 2, 2, 3, 1, 4, 4, 3, 1, 0, 0, 2, 0, 2, 2, 3, 3, 4, 2, 3, 0, 2, 4, 4, 0, 1, 3, 4, 1, 1, 4, 0, 2, 4, 2, 4, 2, 2, 3, 4, 1, 1, 4, 4, 1, 1, 3, 0, 0, 0, 2, 3, 1, 1, 0, 2, 3, 3, 4, 4, 4, 3, 0, 1, 3, 0, 1, 1, 1, 2, 2, 1, 3, 2, 3, 1, 4, 2, 3, 4, 0, 0, 1, 3, 0, 3, 1, 2, 4, 1, 0, 3, 2, 0, 1, 1, 1, 0, 2, 4, 1, 4, 0, 2, 4, 2, 1, 3, 2, 4, 4, 1, 2, 4, 4, 4, 1, 3, 4, 1, 2, 2, 1, 3, 1, 2, 4, 2, 2, 0, 4, 2, 1, 1, 1, 2, 0, 4, 4, 2, 2, 3, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 3, 0, 1, 0, 3, 3, 2, 2, 0, 4, 1, 1, 0, 2, 2, 0, 1, 3, 4, 4, 0, 2, 4, 4, 2, 0, 1, 4, 0, 2, 2, 2, 0, 1, 4, 4, 2, 3, 4, 4, 1, 1, 2, 1, 3, 3, 1, 4, 0, 0, 0, 2, 4, 1, 2, 3, 1, 0, 1, 3, 0, 0, 2, 1, 4, 3, 4, 2, 1, 0, 2, 3, 4, 0, 3, 0, 2, 4, 4, 1, 3, 2, 1, 2, 2, 3, 1, 4, 1, 3, 4, 1, 4, 2, 2, 3, 1, 4, 1, 0, 2, 4, 0, 3, 0, 2, 2, 2, 1, 4, 0, 0, 1, 3, 1, 4, 0, 4, 0, 4, 4, 0, 4, 0, 2, 3, 2, 0, 4, 1, 4, 0, 2, 0, 3, 2, 2, 0, 3, 1, 0, 4, 3, 0, 2, 3, 3, 3, 2, 1, 0, 4, 1, 2, 3, 2, 3, 0, 0, 3, 0, 0, 0, 4, 4, 2, 4, 3, 1, 1, 3, 4, 1, 2, 2, 4, 0, 0, 1, 3, 0, 2, 0, 2, 1, 3, 0, 2, 3, 1, 2, 2, 0, 4, 2, 0, 3, 1, 3, 2, 1, 3, 3, 0, 0, 3, 2, 0, 3, 1, 3, 4, 1, 3, 3, 4, 3, 1, 1, 1, 4, 2, 4, 3, 4, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 3, 1, 4, 4, 1, 4, 3, 4, 0, 2, 4, 1, 4, 2, 3, 2, 2, 2, 3, 3, 4, 3, 0, 1, 1, 1, 4, 4, 3, 3, 4, 2, 3, 0, 3, 0, 4, 3, 3, 4, 4, 0, 0, 4, 0, 3, 2, 1, 0, 4, 3, 3, 2, 4]
pubkeycol668 = [1, 2, 3, 2, 4, 0, 3, 2, 0, 4, 4, 3, 0, 4, 3, 3, 0, 0, 1, 1, 3, 4, 4, 1, 0, 2, 4, 1, 1, 1, 3, 0, 1, 3, 2, 0, 3, 0, 2, 1, 1, 4, 3, 1, 1, 0, 1, 4, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 4, 2, 1, 3, 4, 3, 4, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 4, 0, 2, 4, 0, 2, 1, 0, 1, 3, 3, 4, 0, 3, 3, 0, 0, 2, 1, 3, 2, 1, 2, 0, 3, 3, 0, 1, 0, 1, 0, 3, 4, 1, 4, 4, 4, 1, 0, 4, 4, 0, 2, 2, 0, 2, 3, 4, 2, 4, 0, 4, 2, 1, 2, 0, 1, 0, 3, 0, 2, 4, 3, 4, 4, 1, 0, 2, 3, 2, 1, 3, 4, 1, 1, 4, 2, 3, 0, 0, 1, 4, 4, 2, 2, 2, 4, 2, 1, 2, 2, 2, 1, 0, 2, 0, 3, 1, 1, 0, 0, 2, 4, 3, 0, 2, 4, 1, 1, 1, 0, 1, 2, 2, 1, 1, 4, 0, 4, 0, 3, 0, 1, 0, 4, 3, 3, 1, 0, 0, 3, 3, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 3, 3, 1, 1, 0, 3, 2, 0, 2, 1, 2, 2, 2, 0, 4, 0, 2, 4, 2, 4, 4, 2, 3, 0, 4, 3, 1, 2, 0, 1, 3, 4, 3, 1, 4, 4, 0, 2, 2, 3, 3, 0, 1, 1, 3, 4, 2, 3, 0, 2, 3, 2, 0, 2, 3, 0, 1, 2, 3, 0, 4, 2, 4, 4, 0, 3, 4, 1, 4, 4, 4, 1, 2, 1, 4, 2, 3, 1, 3, 0, 4, 0, 0, 0, 0, 0, 4, 2, 2, 0, 0, 4, 4, 4, 2, 2, 4, 1, 2, 2, 4, 2, 2, 4, 3, 4, 3, 4, 1, 0, 0, 1, 0, 2, 1, 1, 4, 4, 1, 3, 2, 3, 3, 0, 1, 0, 4, 3, 3, 1, 1, 0, 3, 3, 1, 0, 2, 4, 4, 0, 0, 0, 1, 0, 0, 4, 0, 4, 3, 1, 0, 3, 3, 2, 1, 4, 4, 1, 4, 1, 2, 3, 3, 0, 4, 2, 1, 2, 1, 4, 2, 4, 3, 0, 2, 4, 4, 0, 2, 0, 1, 4, 4, 3, 3, 0, 0, 0, 4, 2, 4, 2, 4, 0, 0, 0, 4, 4, 4, 2, 1, 2, 0, 2, 0, 2, 4, 0, 0, 4, 3, 2, 1, 3, 1, 4, 2, 4, 1, 4, 1, 4, 1, 0, 3, 0, 2, 4, 3, 4, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 4, 3, 0, 0, 2, 4, 3, 1, 4, 1, 0, 4, 4, 0, 2, 0, 2, 0, 3, 4, 4, 0, 1, 2, 1, 4, 1, 3, 4, 2, 2, 3, 2, 2, 2, 0, 2, 2, 4, 0, 2, 0, 0, 2, 0]
pubkeycol669 = [4, 2, 4, 3, 2, 0, 1, 2, 1, 2, 0, 3, 2, 4, 3, 0, 0, 4, 3, 3, 1, 3, 2, 0, 3, 2, 3, 3, 1, 3, 0, 3, 4, 3, 3, 2, 1, 2, 4, 1, 0, 4, 2, 1, 0, 3, 2, 0, 3, 4, 4, 2, 0, 4, 0, 4, 0, 0, 0, 0, 4, 1, 3, 2, 0, 0, 0, 4, 3, 3, 4, 0, 4, 3, 1, 0, 1, 3, 4, 4, 3, 1, 3, 1, 3, 3, 2, 0, 0, 2, 3, 0, 3, 4, 0, 2, 0, 2, 2, 0, 1, 1, 0, 3, 2, 2, 4, 1, 3, 3, 0, 1, 1, 2, 1, 1, 0, 3, 1, 4, 0, 1, 4, 0, 2, 2, 2, 1, 1, 3, 0, 0, 2, 1, 1, 1, 0, 3, 0, 3, 0, 0, 4, 2, 4, 2, 2, 4, 1, 1, 3, 4, 0, 1, 4, 1, 0, 1, 3, 4, 1, 3, 3, 3, 4, 2, 4, 0, 4, 0, 1, 4, 4, 2, 4, 3, 1, 3, 2, 3, 2, 1, 3, 1, 4, 0, 4, 4, 4, 3, 1, 4, 1, 2, 4, 3, 2, 3, 1, 0, 4, 0, 0, 3, 4, 3, 2, 0, 2, 0, 3, 4, 4, 3, 1, 2, 1, 3, 2, 3, 4, 0, 4, 0, 0, 0, 0, 3, 0, 2, 2, 4, 2, 2, 4, 4, 3, 0, 2, 2, 1, 1, 4, 2, 0, 4, 0, 3, 2, 3, 2, 1, 4, 3, 4, 3, 4, 1, 4, 2, 3, 0, 2, 3, 0, 2, 0, 4, 1, 2, 2, 2, 1, 3, 4, 4, 2, 1, 0, 1, 4, 2, 4, 2, 2, 0, 0, 4, 2, 1, 3, 0, 1, 3, 2, 1, 0, 0, 3, 2, 2, 3, 1, 0, 2, 0, 4, 1, 2, 2, 1, 4, 4, 0, 0, 2, 3, 1, 4, 1, 3, 4, 3, 4, 2, 1, 4, 0, 2, 4, 0, 4, 0, 2, 0, 2, 0, 0, 3, 3, 4, 2, 4, 1, 4, 4, 3, 4, 4, 2, 4, 0, 2, 0, 2, 2, 1, 2, 4, 1, 2, 4, 1, 4, 3, 4, 3, 4, 4, 3, 1, 0, 2, 0, 2, 4, 2, 3, 1, 0, 4, 2, 2, 4, 3, 2, 3, 3, 0, 0, 3, 2, 4, 3, 1, 4, 1, 1, 1, 3, 0, 1, 1, 2, 2, 2, 0, 1, 3, 1, 0, 0, 3, 2, 4, 3, 4, 1, 1, 0, 0, 4, 1, 0, 4, 0, 3, 2, 1, 1, 4, 4, 1, 0, 1, 4, 3, 0, 3, 0, 2, 0, 4, 2, 3, 1, 1, 0, 1, 0, 1, 3, 0, 1, 4, 4, 0, 1, 2, 1, 0, 2, 1, 1, 3, 2, 3, 4, 1, 1, 3, 0, 1, 2, 1, 0, 2, 2, 3, 4, 0, 4, 2, 3, 0, 2, 2, 3, 2, 4, 3, 4, 4, 3, 4, 0, 4, 1, 4, 4, 4, 2, 4, 3, 3]
pubkeycol670 = [1, 4, 0, 1, 4, 2, 3, 2, 0, 4, 2, 1, 2, 3, 3, 1, 3, 3, 3, 1, 4, 3, 1, 4, 0, 4, 0, 3, 1, 4, 2, 3, 2, 2, 0, 1, 0, 3, 2, 2, 1, 0, 1, 3, 0, 2, 4, 1, 2, 2, 4, 3, 2, 1, 3, 2, 1, 0, 3, 4, 1, 4, 1, 0, 2, 4, 3, 3, 4, 1, 4, 2, 2, 0, 4, 1, 1, 0, 0, 0, 4, 3, 3, 2, 2, 0, 0, 4, 4, 3, 3, 3, 3, 2, 3, 4, 3, 0, 1, 0, 0, 1, 1, 2, 3, 4, 2, 2, 3, 3, 1, 1, 4, 2, 3, 2, 4, 1, 3, 0, 3, 1, 3, 4, 2, 1, 3, 4, 4, 4, 4, 4, 4, 1, 2, 4, 1, 2, 1, 1, 3, 3, 4, 2, 0, 3, 3, 0, 3, 2, 4, 4, 4, 0, 0, 3, 0, 0, 2, 3, 1, 4, 2, 4, 0, 0, 0, 0, 4, 1, 4, 2, 3, 2, 0, 2, 4, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 4, 1, 3, 1, 4, 2, 1, 0, 4, 1, 2, 2, 2, 0, 3, 3, 4, 4, 4, 1, 4, 0, 3, 4, 2, 1, 3, 2, 1, 3, 4, 4, 0, 2, 0, 1, 2, 2, 4, 4, 4, 2, 2, 2, 1, 3, 0, 3, 2, 3, 2, 2, 1, 4, 4, 4, 0, 3, 1, 4, 3, 3, 4, 4, 4, 2, 2, 3, 3, 1, 0, 4, 3, 1, 3, 0, 0, 2, 4, 1, 4, 2, 2, 0, 1, 3, 4, 4, 2, 4, 3, 4, 0, 1, 3, 3, 0, 4, 0, 3, 2, 4, 2, 1, 1, 4, 3, 0, 2, 0, 4, 2, 2, 1, 0, 0, 3, 1, 1, 4, 2, 1, 1, 0, 0, 2, 2, 0, 0, 4, 3, 3, 2, 3, 3, 2, 3, 1, 3, 1, 2, 1, 0, 1, 2, 1, 2, 2, 3, 3, 2, 2, 2, 2, 2, 0, 0, 1, 4, 2, 0, 1, 3, 0, 0, 1, 2, 1, 0, 3, 3, 4, 2, 2, 0, 4, 1, 0, 4, 4, 4, 2, 3, 3, 3, 4, 3, 4, 2, 3, 3, 2, 0, 2, 1, 3, 4, 3, 4, 3, 2, 0, 2, 2, 4, 3, 4, 4, 0, 1, 4, 1, 1, 3, 1, 3, 3, 0, 3, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 4, 3, 2, 3, 0, 2, 2, 1, 1, 4, 3, 2, 2, 0, 2, 4, 2, 3, 0, 2, 0, 1, 1, 2, 4, 2, 2, 3, 0, 2, 1, 4, 3, 1, 1, 4, 0, 1, 4, 1, 1, 3, 1, 4, 4, 1, 0, 2, 1, 3, 4, 1, 3, 3, 2, 2, 0, 4, 1, 1, 4, 0, 2, 1, 1, 0, 4, 3, 3, 1, 4, 4, 3, 4, 1, 3, 2, 3, 1, 2, 0, 4, 1, 4, 2, 1, 0, 0]
pubkeycol671 = [1, 1, 1, 2, 2, 1, 4, 4, 2, 3, 2, 2, 4, 4, 4, 3, 2, 3, 0, 1, 1, 0, 4, 1, 2, 3, 0, 4, 4, 4, 4, 1, 3, 3, 4, 4, 1, 1, 1, 0, 2, 1, 4, 0, 0, 4, 3, 3, 3, 2, 3, 4, 4, 4, 4, 0, 3, 3, 0, 1, 3, 0, 2, 4, 4, 4, 4, 4, 1, 0, 3, 1, 1, 0, 1, 1, 2, 4, 2, 3, 4, 4, 4, 1, 0, 0, 2, 2, 0, 4, 4, 1, 1, 0, 0, 1, 2, 4, 1, 4, 0, 1, 3, 2, 1, 1, 2, 1, 4, 0, 1, 0, 2, 2, 3, 4, 2, 1, 2, 4, 4, 0, 1, 1, 1, 0, 3, 0, 2, 2, 3, 2, 0, 4, 4, 0, 0, 1, 0, 4, 0, 1, 0, 1, 2, 0, 4, 1, 1, 2, 3, 0, 1, 4, 2, 2, 3, 3, 2, 4, 2, 4, 2, 4, 3, 4, 4, 4, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 3, 1, 1, 0, 4, 4, 1, 2, 1, 0, 2, 2, 0, 2, 4, 0, 4, 3, 4, 3, 2, 4, 4, 4, 2, 2, 1, 1, 4, 3, 4, 3, 1, 2, 3, 4, 0, 4, 2, 3, 3, 3, 4, 0, 3, 3, 2, 3, 1, 1, 4, 0, 2, 0, 1, 1, 3, 4, 4, 1, 1, 0, 1, 2, 1, 0, 3, 4, 3, 1, 0, 1, 4, 0, 4, 2, 2, 2, 0, 1, 3, 4, 3, 3, 2, 2, 1, 1, 4, 0, 2, 3, 0, 2, 0, 4, 0, 4, 1, 0, 4, 4, 4, 4, 0, 2, 4, 4, 0, 3, 0, 2, 1, 3, 1, 4, 3, 4, 2, 2, 2, 1, 4, 1, 1, 2, 2, 1, 1, 1, 2, 4, 4, 1, 3, 2, 0, 2, 4, 1, 3, 3, 0, 1, 4, 0, 2, 3, 4, 2, 3, 4, 1, 3, 2, 0, 0, 1, 2, 2, 3, 2, 4, 4, 3, 0, 2, 2, 4, 4, 2, 4, 1, 1, 1, 0, 4, 2, 0, 1, 3, 3, 3, 4, 3, 2, 2, 2, 4, 4, 2, 0, 3, 2, 2, 4, 0, 1, 4, 4, 0, 3, 4, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 3, 1, 1, 2, 4, 2, 2, 4, 4, 1, 1, 0, 2, 0, 4, 2, 0, 1, 2, 0, 4, 3, 0, 4, 2, 4, 0, 2, 3, 3, 1, 3, 2, 1, 3, 2, 4, 3, 2, 0, 4, 4, 3, 2, 2, 0, 1, 3, 4, 3, 0, 4, 3, 3, 0, 3, 3, 3, 0, 4, 4, 4, 2, 4, 1, 1, 4, 0, 1, 0, 2, 2, 1, 0, 4, 4, 3, 1, 2, 4, 3, 0, 3, 4, 1, 4, 4, 4, 2, 1, 4, 3, 2, 2, 1, 3, 3, 1, 2, 2, 0, 3, 4, 2, 3, 1, 1, 4, 4, 2, 0, 1, 4, 1]
pubkeycol672 = [2, 0, 0, 1, 4, 0, 2, 3, 2, 1, 3, 1, 2, 4, 3, 2, 3, 1, 3, 0, 4, 0, 1, 3, 3, 1, 3, 1, 2, 4, 3, 1, 1, 0, 1, 0, 0, 2, 1, 4, 1, 1, 0, 1, 2, 3, 4, 3, 3, 1, 3, 2, 4, 2, 4, 3, 3, 2, 2, 4, 1, 1, 3, 0, 0, 3, 2, 4, 2, 0, 4, 4, 3, 2, 3, 3, 3, 2, 2, 3, 4, 0, 0, 3, 3, 2, 0, 2, 4, 3, 1, 2, 2, 2, 1, 3, 1, 3, 1, 4, 2, 3, 0, 2, 1, 4, 0, 2, 1, 3, 0, 3, 0, 2, 2, 1, 0, 2, 3, 3, 4, 1, 0, 2, 0, 4, 0, 2, 0, 4, 3, 2, 2, 3, 3, 1, 0, 2, 3, 3, 1, 3, 2, 4, 2, 0, 0, 4, 3, 4, 1, 4, 2, 2, 4, 1, 3, 1, 0, 1, 0, 3, 4, 2, 4, 3, 0, 2, 4, 0, 4, 4, 3, 1, 1, 2, 2, 3, 1, 1, 1, 4, 1, 1, 2, 4, 0, 3, 4, 3, 0, 3, 0, 4, 2, 1, 1, 1, 1, 4, 4, 1, 0, 0, 1, 1, 2, 2, 0, 4, 2, 2, 3, 1, 0, 4, 1, 3, 2, 3, 2, 1, 3, 2, 3, 0, 0, 0, 2, 3, 3, 2, 0, 2, 3, 3, 1, 0, 1, 4, 0, 1, 2, 2, 3, 4, 3, 1, 1, 2, 3, 4, 4, 2, 3, 0, 1, 1, 2, 3, 2, 1, 1, 1, 1, 1, 4, 3, 4, 2, 4, 0, 1, 0, 0, 3, 3, 0, 2, 2, 4, 4, 3, 0, 0, 1, 4, 0, 2, 1, 4, 1, 0, 3, 4, 1, 4, 2, 4, 0, 4, 1, 3, 3, 4, 2, 0, 3, 4, 0, 3, 0, 1, 3, 4, 4, 4, 3, 3, 0, 0, 3, 0, 1, 2, 1, 3, 1, 4, 0, 3, 2, 0, 0, 4, 3, 0, 1, 1, 2, 3, 4, 1, 3, 4, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 4, 3, 0, 1, 1, 0, 3, 2, 4, 3, 4, 0, 3, 4, 1, 3, 2, 0, 1, 1, 3, 1, 2, 1, 1, 1, 1, 4, 4, 2, 3, 1, 0, 0, 0, 3, 0, 4, 3, 2, 0, 2, 0, 0, 1, 4, 1, 3, 3, 0, 2, 1, 3, 2, 2, 3, 4, 4, 3, 2, 1, 4, 2, 1, 3, 1, 4, 4, 0, 0, 0, 4, 0, 3, 4, 2, 3, 4, 4, 4, 3, 4, 0, 1, 4, 4, 3, 2, 0, 4, 4, 0, 2, 0, 3, 1, 2, 2, 2, 3, 4, 2, 2, 0, 0, 2, 1, 4, 0, 3, 4, 0, 3, 3, 0, 1, 4, 4, 3, 1, 3, 4, 2, 1, 0, 2, 2, 4, 1, 4, 2, 0, 2, 0, 3, 1, 4, 4, 1, 2, 0, 2, 4, 4, 3, 3, 0, 1, 4, 0]
pubkeycol673 = [4, 2, 4, 3, 4, 0, 3, 3, 2, 0, 0, 3, 3, 1, 2, 4, 0, 0, 1, 4, 2, 3, 4, 3, 4, 4, 1, 2, 2, 1, 2, 2, 4, 2, 0, 0, 0, 1, 2, 4, 3, 1, 3, 0, 4, 2, 1, 1, 0, 2, 3, 3, 2, 2, 2, 2, 1, 2, 1, 3, 3, 3, 2, 1, 1, 0, 4, 4, 4, 3, 2, 4, 3, 2, 4, 2, 2, 1, 2, 4, 1, 2, 4, 2, 0, 4, 4, 3, 1, 0, 2, 2, 2, 1, 4, 1, 2, 1, 0, 4, 0, 4, 4, 4, 2, 1, 3, 2, 2, 1, 2, 2, 1, 1, 2, 3, 3, 1, 3, 1, 4, 1, 2, 2, 1, 0, 2, 1, 3, 4, 3, 1, 2, 2, 2, 0, 4, 1, 3, 3, 2, 4, 0, 2, 3, 1, 1, 1, 3, 1, 4, 1, 4, 4, 4, 3, 4, 1, 2, 3, 4, 1, 3, 1, 2, 2, 1, 2, 1, 2, 4, 4, 3, 1, 3, 4, 3, 4, 4, 3, 1, 4, 0, 4, 0, 4, 4, 3, 2, 0, 4, 0, 2, 1, 3, 3, 0, 4, 4, 0, 3, 1, 0, 4, 1, 0, 3, 4, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 4, 1, 2, 3, 4, 4, 4, 2, 2, 3, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 4, 1, 0, 3, 3, 1, 1, 2, 2, 1, 3, 0, 4, 4, 1, 1, 3, 0, 3, 4, 1, 4, 0, 4, 0, 4, 2, 2, 3, 2, 2, 1, 1, 3, 0, 1, 4, 0, 1, 1, 3, 4, 0, 3, 2, 1, 0, 2, 2, 4, 2, 4, 2, 2, 1, 4, 3, 3, 3, 2, 4, 3, 0, 3, 2, 1, 4, 1, 3, 4, 1, 4, 3, 1, 4, 2, 3, 0, 3, 0, 1, 0, 2, 1, 1, 2, 1, 3, 2, 2, 4, 0, 0, 2, 1, 3, 0, 2, 2, 2, 3, 1, 1, 4, 4, 2, 0, 3, 1, 0, 2, 1, 3, 4, 3, 3, 4, 4, 3, 0, 3, 3, 2, 2, 4, 2, 3, 4, 4, 1, 1, 2, 0, 4, 1, 1, 1, 4, 2, 4, 3, 1, 1, 3, 1, 1, 0, 4, 4, 0, 0, 1, 4, 1, 0, 0, 3, 3, 0, 3, 1, 4, 2, 3, 1, 1, 0, 4, 3, 0, 0, 1, 2, 4, 2, 1, 2, 4, 2, 3, 2, 4, 1, 3, 1, 4, 0, 4, 2, 1, 2, 3, 3, 4, 3, 0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 3, 3, 1, 2, 2, 2, 0, 3, 1, 0, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 1, 0, 4, 2, 1, 0, 0, 4, 2, 4, 3, 0, 1, 3, 4, 0, 3, 0, 0, 4, 1, 3, 4, 0, 4, 1, 0, 1, 4, 0, 3, 4, 2, 1, 4]
pubkeycol674 = [0, 0, 1, 1, 3, 3, 2, 4, 3, 1, 3, 3, 4, 4, 3, 3, 2, 2, 2, 0, 3, 3, 2, 4, 1, 2, 0, 1, 3, 3, 4, 0, 4, 2, 3, 2, 0, 0, 2, 3, 2, 3, 2, 4, 2, 1, 0, 0, 0, 0, 4, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 1, 0, 1, 4, 2, 1, 3, 3, 3, 4, 0, 3, 0, 1, 4, 0, 0, 3, 2, 2, 3, 1, 0, 0, 3, 4, 1, 3, 0, 0, 1, 4, 4, 3, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 3, 4, 4, 4, 4, 3, 3, 2, 3, 4, 2, 4, 0, 1, 2, 1, 2, 1, 1, 3, 2, 3, 0, 4, 1, 4, 1, 4, 1, 1, 0, 4, 2, 1, 2, 2, 2, 3, 3, 0, 1, 2, 4, 3, 0, 4, 0, 2, 4, 1, 3, 4, 3, 3, 4, 4, 2, 4, 4, 4, 3, 1, 3, 1, 3, 2, 1, 1, 1, 3, 1, 4, 4, 2, 3, 2, 1, 3, 4, 3, 0, 4, 3, 1, 1, 4, 2, 1, 0, 4, 2, 2, 3, 0, 2, 0, 1, 1, 3, 2, 2, 2, 4, 3, 1, 4, 0, 1, 3, 0, 1, 1, 3, 4, 2, 4, 4, 3, 1, 0, 3, 4, 2, 1, 2, 4, 4, 1, 1, 4, 2, 2, 0, 1, 2, 3, 0, 4, 4, 2, 3, 4, 0, 4, 1, 3, 1, 3, 0, 2, 4, 2, 4, 4, 0, 1, 0, 3, 2, 1, 0, 1, 2, 1, 0, 3, 0, 0, 2, 4, 3, 1, 4, 0, 0, 3, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 3, 0, 0, 1, 2, 2, 4, 1, 0, 3, 1, 1, 4, 4, 4, 0, 0, 2, 0, 1, 1, 1, 2, 0, 3, 3, 3, 4, 4, 1, 1, 0, 2, 2, 1, 4, 0, 4, 0, 1, 4, 2, 3, 0, 1, 0, 4, 2, 3, 1, 3, 2, 0, 2, 0, 3, 4, 0, 4, 3, 2, 0, 2, 2, 2, 4, 1, 2, 2, 4, 4, 1, 0, 0, 1, 3, 4, 3, 4, 0, 1, 2, 1, 0, 2, 3, 2, 3, 4, 3, 3, 2, 4, 0, 4, 2, 1, 1, 2, 4, 3, 4, 2, 4, 0, 0, 2, 3, 3, 4, 0, 2, 4, 4, 4, 3, 3, 1, 3, 1, 0, 3, 4, 2, 4, 1, 1, 3, 0, 1, 2, 1, 3, 0, 3, 2, 3, 1, 4, 3, 1, 4, 2, 1, 1, 3, 4, 4, 2, 1, 3, 3, 3, 2, 0, 2, 3, 2, 4, 1, 4, 4, 2, 1, 0, 4, 4, 4, 4, 1, 2, 2, 0, 4, 2, 1, 4, 2, 4, 0, 1, 2, 0, 1, 0, 1, 1, 4, 1, 1, 0, 2, 1, 0, 0, 2, 3, 2, 4, 0, 0, 0, 0, 3, 4, 3, 0]
pubkeycol675 = [1, 0, 0, 2, 0, 2, 4, 2, 1, 1, 4, 4, 1, 3, 1, 4, 0, 2, 1, 0, 3, 3, 0, 1, 0, 3, 1, 4, 3, 0, 3, 1, 4, 1, 1, 3, 0, 2, 2, 1, 3, 0, 2, 2, 2, 3, 0, 0, 2, 3, 4, 2, 1, 1, 2, 4, 3, 4, 4, 3, 4, 4, 2, 1, 3, 3, 4, 4, 4, 1, 0, 4, 3, 0, 4, 3, 3, 4, 3, 1, 1, 3, 0, 2, 0, 2, 2, 1, 4, 3, 2, 4, 1, 2, 0, 1, 4, 3, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 1, 4, 0, 0, 4, 0, 4, 1, 0, 2, 0, 4, 2, 3, 1, 3, 4, 4, 4, 3, 0, 0, 3, 3, 2, 3, 3, 1, 2, 1, 3, 1, 0, 1, 3, 1, 1, 1, 0, 3, 1, 4, 1, 0, 3, 3, 3, 0, 3, 4, 1, 1, 3, 4, 4, 4, 1, 0, 2, 2, 4, 4, 0, 0, 4, 0, 2, 2, 2, 1, 1, 3, 0, 0, 2, 2, 1, 4, 1, 4, 3, 1, 1, 0, 3, 4, 1, 0, 4, 3, 0, 0, 2, 4, 4, 0, 3, 3, 2, 2, 0, 4, 1, 2, 0, 2, 0, 1, 2, 0, 3, 0, 4, 1, 4, 4, 4, 3, 1, 4, 2, 3, 0, 4, 3, 3, 1, 2, 4, 3, 4, 4, 1, 0, 1, 4, 2, 3, 2, 0, 2, 4, 0, 2, 3, 1, 4, 3, 4, 4, 3, 2, 0, 4, 3, 0, 1, 4, 4, 4, 4, 2, 4, 2, 1, 0, 0, 3, 4, 4, 3, 4, 0, 1, 3, 1, 1, 4, 3, 4, 1, 1, 4, 1, 0, 1, 1, 1, 4, 0, 1, 1, 0, 4, 4, 4, 1, 4, 4, 2, 1, 1, 2, 4, 4, 1, 4, 4, 4, 0, 0, 1, 0, 4, 0, 3, 3, 3, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 3, 1, 1, 3, 3, 2, 0, 4, 4, 4, 3, 2, 3, 2, 3, 1, 2, 0, 1, 3, 0, 2, 2, 4, 1, 4, 1, 0, 4, 2, 4, 0, 1, 4, 4, 1, 4, 0, 4, 2, 3, 3, 0, 0, 4, 1, 3, 0, 4, 2, 1, 3, 1, 4, 4, 3, 4, 1, 4, 2, 0, 0, 3, 4, 2, 2, 0, 1, 3, 0, 0, 0, 3, 3, 3, 1, 0, 4, 2, 3, 3, 1, 2, 0, 2, 0, 4, 0, 2, 1, 1, 3, 2, 1, 4, 1, 1, 2, 0, 2, 4, 4, 4, 0, 2, 3, 1, 2, 1, 0, 3, 4, 4, 4, 2, 2, 4, 2, 4, 4, 1, 4, 3, 0, 2, 2, 3, 0, 1, 1, 3, 2, 3, 4, 3, 3, 4, 3, 2, 4, 3, 4, 0, 3, 1, 0, 0, 1, 4, 0, 2, 4, 1, 0, 4, 4, 1, 1, 4, 2, 2, 0, 4, 4, 4, 2, 0, 2, 0]
pubkeycol676 = [0, 1, 3, 3, 3, 1, 4, 3, 0, 0, 3, 0, 1, 4, 0, 0, 0, 0, 0, 3, 3, 3, 1, 3, 1, 2, 0, 2, 0, 1, 1, 0, 4, 2, 2, 3, 2, 3, 1, 3, 4, 1, 4, 2, 0, 3, 0, 3, 4, 0, 0, 2, 4, 1, 1, 4, 4, 4, 3, 0, 2, 4, 4, 1, 4, 4, 3, 1, 4, 4, 3, 0, 1, 4, 4, 3, 0, 4, 0, 4, 2, 2, 0, 3, 3, 4, 2, 0, 1, 0, 3, 0, 4, 1, 4, 3, 1, 2, 4, 0, 1, 3, 2, 1, 2, 1, 1, 2, 1, 2, 1, 3, 3, 1, 2, 1, 4, 2, 4, 0, 3, 1, 0, 3, 0, 0, 0, 0, 3, 2, 1, 2, 3, 4, 2, 4, 4, 1, 2, 2, 1, 3, 3, 4, 0, 4, 4, 3, 1, 1, 2, 1, 4, 0, 4, 3, 4, 3, 2, 1, 1, 1, 0, 2, 0, 4, 2, 2, 2, 2, 3, 1, 4, 2, 3, 1, 0, 3, 3, 4, 0, 0, 2, 3, 2, 3, 4, 4, 1, 4, 3, 4, 1, 0, 0, 4, 3, 1, 2, 4, 1, 1, 3, 2, 4, 1, 0, 3, 0, 4, 2, 0, 2, 0, 1, 2, 4, 2, 0, 1, 0, 1, 2, 3, 4, 3, 1, 1, 1, 0, 1, 0, 1, 4, 2, 2, 3, 0, 0, 1, 1, 3, 0, 1, 2, 4, 2, 2, 0, 4, 3, 4, 3, 0, 0, 2, 2, 1, 4, 1, 4, 2, 4, 1, 4, 2, 2, 4, 3, 2, 2, 1, 0, 1, 0, 2, 3, 0, 2, 3, 0, 4, 0, 2, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 1, 2, 2, 4, 4, 1, 3, 3, 3, 3, 3, 3, 4, 0, 0, 1, 4, 2, 2, 4, 4, 3, 1, 0, 2, 1, 2, 0, 2, 3, 3, 1, 3, 4, 3, 4, 4, 4, 1, 0, 1, 0, 2, 0, 0, 1, 3, 4, 2, 1, 3, 3, 2, 4, 1, 1, 4, 3, 2, 1, 2, 0, 3, 2, 3, 2, 0, 1, 2, 4, 1, 0, 1, 4, 0, 0, 4, 3, 2, 0, 2, 0, 4, 2, 2, 1, 2, 0, 3, 3, 0, 1, 3, 3, 3, 0, 2, 0, 2, 4, 2, 4, 2, 4, 3, 3, 4, 3, 1, 1, 3, 4, 0, 2, 4, 0, 4, 0, 3, 4, 2, 2, 1, 0, 3, 2, 3, 3, 2, 1, 1, 0, 1, 0, 4, 2, 2, 4, 0, 0, 2, 1, 1, 1, 1, 1, 3, 1, 4, 1, 3, 0, 1, 3, 3, 2, 0, 3, 0, 3, 4, 3, 1, 2, 0, 2, 1, 0, 0, 4, 4, 1, 2, 0, 2, 0, 3, 2, 4, 0, 3, 0, 4, 2, 4, 4, 1, 3, 2, 0, 4, 4, 4, 3, 2, 4, 0, 3, 4, 2, 0, 0, 4, 0, 4, 0, 0, 1, 4]
pubkeycol677 = [4, 3, 4, 3, 1, 1, 1, 4, 2, 2, 1, 3, 0, 0, 0, 1, 2, 3, 0, 1, 2, 0, 1, 0, 0, 2, 3, 2, 1, 1, 1, 3, 2, 3, 2, 3, 3, 1, 1, 2, 0, 2, 4, 4, 0, 0, 1, 3, 2, 2, 0, 4, 4, 3, 1, 2, 1, 1, 4, 2, 1, 0, 2, 0, 0, 4, 2, 4, 4, 0, 4, 2, 4, 0, 2, 2, 3, 1, 4, 3, 0, 4, 1, 4, 2, 0, 3, 0, 4, 3, 2, 0, 4, 4, 2, 0, 4, 0, 3, 1, 2, 2, 3, 2, 4, 2, 1, 2, 0, 0, 4, 2, 2, 2, 3, 1, 0, 3, 0, 2, 4, 2, 1, 1, 3, 3, 4, 4, 2, 4, 0, 1, 0, 0, 2, 1, 2, 0, 4, 0, 3, 0, 2, 3, 2, 4, 4, 2, 2, 1, 0, 2, 1, 3, 3, 3, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 4, 0, 4, 2, 2, 2, 1, 4, 0, 2, 3, 0, 1, 4, 0, 3, 2, 2, 1, 0, 2, 1, 0, 1, 3, 0, 1, 2, 4, 3, 3, 0, 3, 1, 4, 2, 3, 1, 1, 2, 2, 0, 1, 1, 4, 0, 2, 1, 0, 1, 2, 1, 3, 2, 3, 2, 3, 3, 0, 2, 3, 4, 4, 0, 3, 4, 4, 3, 2, 4, 1, 3, 0, 4, 4, 0, 4, 0, 0, 3, 3, 3, 1, 3, 4, 1, 2, 3, 3, 0, 3, 4, 3, 4, 2, 0, 0, 0, 1, 1, 0, 3, 0, 1, 4, 0, 4, 4, 1, 3, 2, 3, 3, 1, 1, 0, 1, 0, 4, 3, 0, 2, 4, 0, 1, 4, 4, 3, 1, 2, 2, 2, 2, 2, 2, 0, 4, 0, 2, 4, 2, 4, 4, 3, 1, 2, 2, 2, 3, 4, 4, 4, 4, 2, 0, 0, 3, 2, 0, 3, 2, 3, 4, 1, 4, 3, 4, 4, 4, 3, 1, 0, 4, 4, 1, 0, 1, 3, 1, 4, 2, 0, 3, 2, 1, 2, 2, 1, 1, 1, 1, 3, 1, 3, 3, 0, 4, 0, 0, 2, 4, 1, 0, 4, 0, 1, 1, 2, 1, 1, 4, 0, 3, 1, 4, 3, 1, 4, 1, 3, 0, 2, 2, 4, 0, 2, 4, 3, 2, 2, 1, 4, 1, 4, 2, 0, 3, 3, 2, 0, 1, 4, 3, 4, 1, 0, 3, 4, 3, 3, 1, 4, 1, 4, 1, 0, 1, 1, 4, 4, 1, 2, 2, 0, 4, 3, 4, 1, 4, 4, 4, 0, 3, 3, 1, 2, 3, 0, 4, 3, 2, 1, 4, 2, 2, 1, 3, 4, 0, 0, 2, 4, 2, 1, 3, 2, 3, 2, 0, 2, 3, 1, 3, 2, 2, 4, 1, 4, 3, 2, 4, 3, 4, 1, 2, 3, 2, 3, 2, 4, 0, 2, 0, 3, 0, 0, 4, 2, 4, 4, 1, 1, 2, 4, 4, 0, 4, 1]
pubkeycol678 = [1, 1, 0, 0, 2, 3, 4, 3, 3, 3, 0, 2, 0, 2, 1, 0, 1, 2, 4, 2, 1, 1, 4, 4, 4, 1, 2, 1, 0, 4, 4, 3, 4, 2, 0, 0, 2, 3, 3, 2, 1, 2, 2, 3, 1, 4, 1, 4, 4, 0, 1, 1, 3, 1, 4, 3, 2, 0, 1, 1, 2, 0, 3, 4, 3, 2, 3, 2, 3, 4, 4, 1, 2, 4, 0, 3, 4, 1, 2, 0, 1, 1, 3, 4, 3, 4, 3, 4, 1, 2, 0, 0, 3, 1, 2, 4, 2, 4, 2, 1, 1, 4, 1, 2, 3, 2, 3, 2, 3, 3, 1, 1, 4, 2, 3, 4, 0, 3, 0, 0, 3, 0, 0, 0, 3, 1, 2, 3, 1, 0, 4, 3, 3, 4, 0, 1, 1, 2, 2, 1, 4, 4, 4, 0, 0, 3, 1, 3, 1, 3, 0, 1, 3, 1, 1, 4, 1, 2, 2, 3, 1, 4, 0, 4, 3, 3, 1, 1, 0, 4, 3, 0, 2, 4, 1, 4, 3, 2, 2, 1, 0, 3, 1, 4, 3, 4, 2, 1, 1, 0, 2, 0, 0, 4, 0, 1, 3, 0, 0, 4, 2, 4, 0, 3, 4, 4, 2, 3, 1, 3, 2, 0, 2, 0, 1, 3, 2, 4, 4, 2, 3, 2, 4, 2, 4, 2, 0, 1, 4, 2, 4, 3, 1, 3, 2, 1, 2, 4, 2, 3, 3, 2, 4, 2, 0, 4, 4, 3, 1, 3, 3, 4, 1, 1, 1, 2, 0, 4, 4, 1, 0, 3, 1, 1, 1, 4, 0, 4, 0, 1, 0, 0, 0, 2, 4, 2, 3, 0, 1, 4, 4, 3, 1, 3, 0, 2, 2, 3, 1, 3, 0, 4, 3, 1, 0, 0, 0, 4, 4, 3, 0, 0, 4, 0, 4, 3, 0, 2, 3, 1, 1, 4, 2, 1, 0, 0, 2, 4, 0, 2, 0, 4, 2, 4, 0, 3, 0, 3, 2, 4, 0, 2, 2, 2, 3, 3, 1, 4, 4, 3, 4, 0, 2, 3, 3, 1, 1, 1, 4, 3, 0, 0, 1, 4, 3, 3, 4, 4, 2, 3, 0, 3, 2, 1, 1, 2, 0, 2, 3, 0, 4, 1, 2, 0, 2, 0, 3, 1, 1, 4, 4, 1, 1, 2, 2, 2, 2, 2, 3, 1, 2, 3, 1, 0, 0, 3, 4, 1, 2, 2, 2, 4, 3, 3, 3, 1, 4, 2, 1, 1, 3, 0, 2, 1, 1, 4, 1, 0, 2, 3, 4, 0, 2, 4, 4, 4, 1, 1, 3, 2, 3, 2, 4, 0, 0, 2, 3, 1, 1, 0, 0, 1, 4, 0, 2, 2, 4, 1, 1, 3, 0, 4, 1, 3, 1, 1, 2, 1, 0, 4, 2, 4, 3, 1, 2, 0, 3, 4, 2, 0, 2, 1, 1, 0, 3, 2, 4, 4, 1, 2, 3, 3, 3, 1, 1, 0, 0, 2, 3, 4, 3, 3, 3, 0, 2, 3, 2, 4, 2, 4, 2, 3, 4, 3, 0]
pubkeycol679 = [4, 2, 2, 1, 4, 1, 3, 2, 3, 1, 2, 2, 4, 2, 0, 4, 0, 4, 4, 0, 3, 0, 1, 1, 1, 0, 3, 2, 1, 0, 3, 1, 4, 3, 1, 1, 3, 1, 1, 0, 3, 3, 4, 2, 4, 4, 0, 0, 0, 4, 0, 3, 4, 0, 3, 1, 0, 0, 1, 3, 3, 1, 2, 2, 1, 3, 3, 3, 2, 1, 1, 0, 3, 3, 3, 2, 2, 1, 4, 4, 3, 3, 4, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 3, 4, 2, 4, 3, 2, 0, 1, 2, 3, 1, 2, 4, 3, 2, 4, 3, 3, 1, 0, 4, 0, 4, 1, 2, 0, 1, 4, 4, 3, 3, 3, 2, 0, 0, 4, 3, 1, 3, 0, 4, 0, 1, 1, 4, 2, 0, 0, 2, 1, 4, 2, 0, 3, 3, 2, 0, 3, 1, 1, 2, 1, 1, 0, 1, 0, 3, 0, 2, 4, 3, 4, 1, 0, 1, 4, 3, 3, 1, 1, 2, 2, 0, 0, 0, 1, 1, 4, 3, 1, 4, 2, 3, 4, 1, 2, 3, 1, 0, 1, 0, 1, 3, 0, 1, 0, 3, 2, 2, 4, 1, 1, 0, 2, 1, 3, 1, 3, 3, 2, 2, 3, 3, 4, 3, 2, 0, 2, 0, 3, 2, 4, 3, 0, 0, 1, 1, 3, 1, 2, 3, 0, 0, 3, 3, 0, 0, 3, 2, 1, 4, 0, 2, 2, 3, 4, 3, 0, 2, 4, 4, 2, 0, 3, 4, 1, 4, 1, 4, 2, 4, 4, 4, 0, 4, 3, 1, 1, 1, 2, 4, 2, 1, 0, 2, 1, 2, 2, 3, 0, 3, 2, 2, 0, 4, 3, 0, 4, 1, 3, 4, 2, 3, 4, 4, 3, 4, 2, 0, 2, 4, 1, 4, 2, 2, 0, 2, 3, 3, 0, 2, 4, 3, 3, 0, 3, 1, 0, 3, 4, 4, 2, 2, 0, 2, 4, 4, 3, 0, 2, 2, 3, 2, 2, 3, 0, 1, 0, 4, 1, 0, 1, 4, 4, 3, 0, 4, 3, 1, 3, 1, 0, 4, 3, 0, 0, 4, 1, 1, 4, 2, 0, 3, 1, 4, 3, 0, 2, 2, 4, 1, 2, 4, 3, 1, 1, 1, 3, 1, 4, 4, 3, 2, 1, 1, 3, 2, 0, 4, 4, 4, 4, 2, 3, 4, 2, 4, 2, 1, 1, 0, 4, 2, 0, 3, 4, 4, 4, 2, 1, 0, 0, 0, 3, 0, 4, 1, 4, 1, 4, 0, 2, 0, 2, 2, 3, 2, 2, 3, 1, 4, 1, 2, 2, 0, 0, 4, 0, 1, 4, 0, 1, 3, 4, 3, 1, 0, 0, 3, 0, 4, 2, 2, 0, 0, 2, 3, 4, 0, 3, 2, 1, 0, 2, 1, 2, 3, 2, 2, 4, 1, 0, 1, 3, 4, 0, 0, 2, 0, 4, 1, 2, 0, 4, 4, 1, 2, 3, 0, 4, 0, 1, 4, 2, 3, 4, 0, 3]
pubkeycol680 = [0, 1, 3, 2, 1, 2, 2, 3, 3, 1, 1, 1, 4, 3, 2, 1, 1, 4, 3, 1, 4, 2, 0, 2, 1, 4, 4, 2, 2, 2, 4, 3, 3, 4, 1, 1, 4, 2, 4, 2, 0, 4, 3, 2, 4, 3, 1, 3, 1, 3, 4, 0, 2, 4, 2, 4, 0, 1, 0, 2, 3, 4, 0, 2, 2, 0, 3, 0, 0, 3, 0, 1, 1, 3, 4, 0, 2, 4, 1, 4, 0, 0, 1, 3, 2, 3, 0, 2, 1, 4, 0, 0, 1, 4, 4, 4, 2, 2, 0, 3, 0, 0, 1, 2, 0, 1, 4, 3, 0, 4, 1, 2, 4, 0, 0, 2, 3, 0, 0, 1, 1, 3, 0, 0, 3, 1, 3, 4, 4, 2, 3, 2, 3, 0, 2, 1, 2, 1, 2, 4, 1, 0, 1, 1, 4, 0, 2, 1, 3, 4, 1, 4, 2, 3, 3, 4, 2, 2, 4, 0, 1, 2, 4, 4, 2, 0, 0, 3, 1, 4, 4, 2, 1, 2, 0, 2, 0, 1, 3, 3, 3, 4, 1, 2, 0, 0, 4, 1, 3, 1, 0, 3, 2, 0, 1, 1, 1, 3, 2, 3, 0, 0, 2, 1, 2, 0, 2, 1, 4, 0, 1, 4, 2, 0, 4, 1, 0, 0, 0, 3, 3, 4, 1, 2, 1, 4, 0, 3, 3, 2, 4, 2, 1, 1, 3, 3, 4, 2, 1, 0, 2, 4, 0, 0, 3, 1, 4, 2, 1, 1, 0, 4, 0, 2, 1, 3, 1, 4, 1, 0, 1, 4, 2, 4, 1, 2, 4, 0, 1, 3, 4, 2, 1, 1, 3, 3, 4, 2, 3, 4, 0, 3, 0, 3, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 0, 0, 0, 2, 2, 3, 3, 2, 2, 4, 2, 1, 1, 4, 3, 1, 2, 2, 2, 1, 1, 2, 1, 2, 3, 1, 2, 2, 2, 2, 0, 3, 3, 0, 1, 3, 2, 2, 4, 2, 2, 2, 0, 0, 2, 1, 3, 3, 0, 3, 2, 1, 4, 2, 1, 3, 4, 2, 1, 1, 4, 4, 1, 1, 4, 0, 4, 3, 4, 3, 4, 2, 3, 1, 4, 4, 4, 2, 1, 4, 3, 1, 3, 0, 0, 2, 3, 0, 0, 0, 2, 4, 0, 4, 1, 1, 3, 4, 2, 1, 3, 3, 2, 1, 0, 4, 2, 2, 2, 2, 0, 1, 0, 3, 2, 4, 0, 1, 3, 3, 4, 4, 1, 2, 3, 2, 4, 0, 0, 4, 2, 4, 0, 1, 0, 0, 0, 3, 0, 1, 2, 1, 0, 0, 0, 1, 4, 0, 0, 4, 4, 1, 1, 4, 4, 1, 3, 3, 0, 3, 3, 0, 2, 1, 0, 3, 3, 1, 2, 0, 4, 3, 4, 2, 2, 1, 0, 3, 4, 0, 3, 2, 1, 2, 0, 1, 3, 0, 4, 4, 3, 3, 4, 4, 1, 4, 4, 3, 1, 3, 4, 2, 3, 4, 2, 3, 3, 0, 2, 4, 2]
pubkeycol681 = [3, 3, 0, 2, 4, 3, 0, 0, 3, 0, 2, 1, 3, 1, 3, 1, 0, 4, 1, 4, 4, 1, 3, 3, 1, 1, 0, 0, 2, 1, 2, 4, 3, 0, 3, 2, 2, 2, 3, 3, 1, 1, 0, 0, 4, 1, 1, 4, 0, 0, 0, 1, 0, 0, 2, 2, 1, 3, 3, 4, 4, 3, 3, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 3, 1, 4, 4, 1, 4, 0, 0, 2, 3, 1, 4, 0, 1, 0, 0, 2, 2, 3, 4, 0, 2, 3, 1, 0, 0, 0, 3, 0, 3, 4, 0, 3, 1, 3, 3, 4, 3, 0, 1, 2, 2, 4, 1, 4, 3, 4, 1, 4, 2, 2, 0, 1, 2, 1, 0, 3, 3, 3, 1, 4, 1, 2, 3, 1, 4, 4, 1, 1, 0, 0, 3, 0, 0, 1, 3, 2, 0, 2, 3, 1, 4, 4, 2, 3, 3, 1, 4, 1, 1, 3, 1, 1, 4, 0, 4, 1, 3, 0, 1, 2, 2, 4, 3, 2, 0, 4, 2, 4, 2, 4, 0, 2, 2, 4, 3, 3, 0, 2, 1, 0, 0, 4, 1, 0, 2, 1, 4, 3, 2, 4, 3, 2, 0, 2, 4, 0, 1, 0, 4, 2, 0, 2, 4, 2, 1, 3, 0, 3, 2, 0, 1, 2, 4, 4, 0, 3, 2, 0, 4, 3, 4, 1, 2, 4, 2, 0, 2, 3, 3, 0, 4, 4, 2, 4, 0, 1, 2, 4, 4, 3, 4, 1, 2, 0, 1, 1, 3, 1, 1, 3, 2, 3, 1, 0, 0, 3, 0, 1, 0, 1, 3, 1, 1, 3, 2, 4, 0, 1, 4, 4, 1, 0, 3, 4, 3, 4, 4, 1, 2, 3, 2, 2, 0, 2, 2, 0, 3, 0, 0, 3, 4, 4, 0, 3, 3, 3, 3, 0, 1, 0, 2, 2, 0, 3, 1, 2, 1, 3, 3, 1, 1, 1, 4, 4, 0, 3, 3, 4, 0, 2, 4, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 3, 4, 1, 2, 4, 1, 1, 3, 2, 0, 4, 3, 1, 1, 0, 4, 3, 2, 2, 4, 0, 4, 4, 0, 1, 3, 1, 2, 2, 0, 1, 1, 4, 3, 4, 4, 2, 1, 2, 4, 0, 1, 2, 1, 4, 1, 3, 1, 4, 3, 3, 2, 1, 1, 0, 2, 0, 3, 0, 2, 3, 1, 2, 4, 2, 3, 1, 0, 3, 3, 3, 1, 1, 3, 3, 2, 4, 2, 2, 3, 1, 0, 4, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 3, 0, 4, 2, 4, 4, 3, 3, 2, 1, 4, 1, 4, 1, 0, 3, 3, 2, 2, 4, 4, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 4, 0, 3, 3, 2, 1, 0, 3, 2, 2, 1, 1, 0, 0, 1, 0, 3, 0, 3, 3, 3, 4, 0, 2, 2, 4, 3, 3, 1, 4, 4, 2, 0]
pubkeycol682 = [3, 2, 0, 2, 1, 2, 1, 1, 4, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 3, 4, 1, 2, 1, 0, 1, 0, 1, 1, 3, 1, 3, 2, 2, 3, 2, 3, 3, 0, 3, 2, 3, 0, 2, 1, 4, 0, 2, 4, 0, 1, 3, 0, 0, 4, 1, 3, 4, 2, 2, 3, 4, 1, 0, 0, 1, 2, 4, 4, 1, 1, 2, 1, 0, 4, 2, 0, 3, 0, 0, 1, 3, 0, 0, 2, 0, 3, 1, 0, 1, 3, 3, 3, 1, 1, 1, 3, 4, 1, 2, 1, 4, 2, 2, 0, 3, 3, 4, 4, 2, 2, 4, 3, 3, 2, 4, 1, 0, 4, 4, 3, 0, 0, 0, 2, 1, 0, 2, 0, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 2, 0, 0, 3, 0, 0, 1, 0, 2, 4, 3, 2, 0, 0, 1, 1, 1, 2, 1, 3, 0, 2, 2, 3, 2, 2, 4, 3, 2, 3, 2, 4, 0, 1, 3, 3, 0, 3, 4, 3, 2, 0, 1, 2, 1, 3, 1, 1, 4, 1, 4, 4, 3, 0, 1, 3, 3, 2, 0, 4, 0, 4, 0, 2, 2, 2, 0, 1, 2, 1, 4, 0, 2, 2, 1, 4, 1, 2, 3, 2, 1, 0, 1, 1, 2, 3, 2, 1, 0, 1, 0, 4, 4, 2, 4, 2, 3, 4, 1, 2, 2, 2, 2, 3, 2, 4, 0, 2, 2, 4, 0, 0, 4, 2, 2, 3, 4, 3, 3, 3, 4, 3, 2, 0, 2, 4, 2, 3, 2, 4, 4, 0, 3, 0, 0, 1, 1, 3, 3, 4, 4, 2, 1, 2, 3, 2, 4, 0, 0, 0, 4, 3, 1, 0, 4, 2, 2, 4, 1, 3, 3, 1, 4, 4, 1, 4, 0, 0, 0, 4, 2, 0, 3, 3, 2, 2, 4, 0, 3, 2, 2, 3, 3, 3, 0, 2, 0, 4, 3, 3, 2, 1, 3, 4, 1, 0, 0, 3, 4, 2, 2, 0, 0, 0, 1, 4, 0, 4, 0, 4, 4, 0, 4, 0, 1, 1, 2, 4, 0, 1, 4, 1, 4, 0, 2, 1, 0, 0, 1, 4, 2, 3, 0, 4, 3, 4, 3, 0, 4, 3, 1, 3, 3, 4, 3, 0, 3, 3, 0, 4, 2, 3, 3, 0, 1, 3, 3, 2, 3, 4, 2, 2, 2, 3, 3, 0, 3, 2, 2, 0, 1, 0, 1, 2, 0, 1, 4, 2, 0, 4, 4, 2, 3, 2, 3, 1, 0, 3, 2, 1, 0, 3, 1, 1, 0, 2, 4, 2, 4, 0, 0, 2, 1, 3, 2, 4, 2, 2, 3, 0, 4, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 3, 0, 1, 2, 4, 0, 3, 3, 4, 2, 1, 0, 0, 2, 3, 4, 4, 1, 3, 1, 2, 4, 3, 0, 3, 2, 3, 4, 2, 0, 0, 2, 2, 2, 0, 4, 4, 2, 3, 3, 0]
pubkeycol683 = [0, 1, 3, 2, 4, 2, 1, 2, 4, 4, 1, 3, 0, 2, 3, 2, 2, 4, 1, 0, 0, 1, 3, 1, 4, 1, 1, 3, 1, 3, 1, 2, 4, 1, 2, 2, 4, 1, 2, 3, 2, 3, 0, 0, 3, 4, 2, 0, 4, 2, 0, 0, 2, 4, 0, 2, 4, 2, 2, 1, 0, 2, 1, 0, 4, 4, 2, 0, 3, 4, 0, 1, 4, 3, 2, 1, 0, 0, 1, 1, 3, 3, 3, 3, 4, 0, 3, 0, 3, 1, 3, 2, 0, 1, 0, 2, 3, 3, 0, 1, 3, 3, 0, 2, 3, 1, 0, 4, 4, 2, 0, 2, 4, 2, 4, 4, 2, 0, 4, 1, 2, 3, 2, 1, 1, 4, 0, 1, 1, 1, 3, 4, 1, 2, 2, 2, 4, 2, 1, 3, 4, 4, 3, 4, 0, 1, 4, 1, 2, 2, 2, 3, 0, 3, 0, 0, 1, 3, 3, 2, 3, 4, 1, 0, 2, 0, 3, 3, 2, 0, 1, 3, 1, 4, 2, 3, 3, 1, 0, 1, 3, 4, 2, 1, 1, 2, 0, 2, 4, 2, 1, 1, 4, 1, 4, 3, 0, 2, 3, 2, 0, 1, 3, 4, 2, 4, 4, 0, 0, 2, 0, 1, 2, 4, 1, 3, 0, 2, 2, 3, 3, 3, 1, 4, 1, 0, 0, 2, 3, 4, 2, 0, 4, 2, 0, 4, 4, 4, 1, 3, 2, 2, 4, 1, 4, 1, 2, 2, 3, 1, 1, 2, 0, 2, 4, 0, 0, 2, 2, 3, 2, 0, 0, 4, 1, 3, 1, 3, 2, 1, 3, 3, 1, 3, 4, 4, 0, 1, 2, 1, 4, 2, 3, 0, 0, 1, 2, 2, 0, 2, 3, 4, 1, 0, 0, 4, 4, 3, 1, 4, 0, 1, 2, 2, 4, 0, 3, 1, 0, 0, 2, 4, 0, 2, 0, 3, 4, 2, 4, 0, 4, 4, 2, 0, 3, 2, 1, 0, 4, 4, 2, 4, 4, 1, 4, 0, 1, 2, 3, 2, 4, 4, 0, 4, 0, 1, 4, 4, 0, 0, 1, 3, 1, 2, 2, 1, 2, 4, 2, 3, 3, 2, 2, 2, 1, 0, 0, 3, 4, 0, 1, 3, 0, 0, 0, 1, 3, 4, 3, 0, 0, 3, 3, 4, 1, 4, 2, 0, 3, 4, 1, 2, 4, 0, 1, 3, 0, 0, 0, 1, 0, 2, 3, 3, 4, 4, 3, 3, 0, 4, 2, 4, 2, 0, 1, 0, 0, 4, 0, 0, 3, 3, 3, 0, 0, 2, 3, 2, 3, 0, 1, 0, 0, 3, 3, 0, 3, 4, 1, 0, 4, 4, 0, 1, 4, 0, 4, 4, 3, 2, 1, 1, 1, 2, 1, 3, 0, 1, 1, 0, 4, 3, 1, 3, 3, 0, 0, 3, 3, 0, 2, 4, 2, 3, 0, 0, 4, 4, 1, 4, 3, 4, 4, 1, 0, 3, 1, 2, 4, 1, 3, 3, 2, 0, 3, 0, 1, 2, 1, 4, 3, 2, 2, 0, 4]
pubkeycol684 = [4, 2, 0, 3, 4, 2, 3, 4, 3, 1, 3, 0, 3, 2, 2, 3, 4, 4, 2, 2, 0, 0, 3, 4, 2, 3, 3, 2, 0, 1, 2, 0, 2, 1, 2, 0, 4, 4, 0, 0, 3, 2, 0, 3, 4, 4, 0, 4, 3, 1, 1, 2, 2, 1, 4, 2, 0, 2, 1, 3, 3, 0, 4, 4, 2, 4, 2, 0, 3, 2, 4, 4, 0, 2, 4, 2, 4, 0, 2, 0, 4, 1, 2, 2, 4, 0, 3, 4, 2, 1, 4, 4, 2, 0, 2, 0, 2, 3, 2, 0, 0, 1, 0, 2, 2, 3, 1, 0, 2, 2, 2, 0, 3, 2, 3, 4, 1, 1, 0, 0, 2, 0, 1, 1, 0, 4, 0, 1, 4, 1, 0, 3, 4, 2, 3, 3, 4, 3, 1, 3, 4, 4, 4, 1, 2, 2, 4, 3, 0, 1, 1, 4, 4, 2, 4, 3, 2, 3, 3, 2, 3, 4, 2, 1, 4, 1, 3, 3, 0, 1, 0, 4, 3, 2, 0, 1, 2, 4, 0, 4, 1, 4, 3, 0, 2, 0, 3, 2, 2, 1, 3, 0, 0, 3, 1, 1, 3, 2, 3, 1, 3, 2, 1, 4, 4, 2, 3, 1, 2, 3, 0, 1, 2, 1, 4, 1, 0, 4, 2, 2, 2, 4, 0, 2, 3, 1, 2, 2, 4, 1, 4, 0, 2, 1, 0, 1, 2, 2, 2, 4, 2, 1, 4, 4, 4, 1, 2, 4, 2, 3, 2, 3, 0, 1, 2, 0, 4, 0, 4, 4, 4, 3, 3, 4, 3, 3, 2, 1, 0, 4, 3, 2, 4, 3, 3, 4, 1, 0, 2, 4, 0, 2, 4, 0, 0, 0, 4, 1, 2, 3, 1, 3, 1, 0, 3, 3, 3, 0, 1, 4, 1, 4, 4, 2, 2, 1, 4, 4, 3, 0, 0, 2, 3, 4, 0, 0, 4, 0, 0, 4, 2, 3, 1, 2, 4, 2, 1, 0, 0, 1, 1, 2, 2, 4, 0, 3, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 4, 1, 3, 3, 0, 2, 0, 0, 2, 1, 2, 4, 2, 4, 3, 4, 2, 4, 2, 4, 0, 0, 2, 1, 4, 1, 3, 0, 4, 2, 3, 1, 4, 2, 4, 2, 0, 3, 2, 3, 0, 4, 2, 2, 1, 4, 4, 1, 2, 2, 0, 1, 2, 2, 4, 4, 2, 4, 1, 2, 2, 3, 1, 2, 0, 2, 3, 2, 4, 1, 4, 3, 4, 2, 1, 0, 3, 3, 0, 2, 0, 4, 0, 1, 3, 1, 1, 4, 0, 2, 4, 3, 1, 4, 3, 0, 4, 3, 2, 4, 1, 1, 2, 2, 2, 3, 2, 2, 0, 0, 2, 0, 3, 4, 2, 1, 4, 0, 2, 1, 0, 4, 3, 0, 4, 2, 2, 0, 1, 2, 4, 0, 0, 1, 4, 0, 1, 4, 3, 4, 2, 0, 4, 4, 2, 3, 0, 3, 2, 4, 4, 1, 3, 3, 2, 2, 3, 1, 2]
pubkeycol685 = [2, 3, 1, 4, 3, 4, 3, 1, 2, 2, 2, 0, 2, 2, 0, 3, 4, 4, 3, 4, 3, 1, 1, 4, 4, 0, 2, 1, 2, 4, 1, 1, 0, 3, 1, 3, 0, 1, 1, 4, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 1, 2, 1, 1, 2, 4, 1, 3, 0, 2, 1, 0, 3, 2, 2, 1, 3, 2, 3, 1, 0, 2, 4, 4, 2, 1, 0, 3, 0, 1, 0, 2, 4, 3, 1, 4, 2, 4, 4, 4, 4, 0, 1, 3, 3, 0, 4, 3, 0, 4, 2, 2, 4, 4, 1, 0, 3, 2, 4, 3, 4, 2, 2, 2, 1, 3, 4, 4, 1, 2, 2, 4, 3, 1, 1, 3, 1, 0, 4, 1, 3, 4, 0, 2, 4, 2, 3, 4, 0, 3, 4, 4, 3, 2, 2, 2, 2, 3, 2, 3, 0, 2, 2, 1, 0, 4, 3, 3, 0, 0, 1, 1, 4, 0, 3, 1, 4, 1, 3, 3, 0, 1, 4, 0, 1, 4, 1, 3, 0, 2, 2, 1, 0, 1, 3, 2, 3, 0, 0, 1, 2, 3, 3, 4, 1, 2, 1, 0, 2, 2, 0, 4, 3, 3, 1, 3, 2, 3, 2, 2, 2, 4, 1, 3, 2, 1, 0, 3, 2, 2, 1, 4, 4, 4, 3, 3, 4, 3, 2, 3, 2, 2, 1, 0, 3, 0, 2, 2, 4, 0, 4, 3, 2, 0, 2, 4, 0, 3, 2, 3, 3, 2, 4, 3, 1, 1, 1, 2, 4, 0, 1, 3, 0, 2, 3, 3, 4, 1, 2, 4, 1, 2, 1, 4, 4, 3, 1, 0, 2, 2, 0, 1, 3, 3, 1, 3, 0, 4, 3, 1, 2, 3, 1, 3, 3, 1, 0, 1, 3, 2, 1, 3, 2, 0, 1, 1, 4, 1, 0, 1, 4, 0, 2, 2, 1, 3, 2, 4, 2, 0, 4, 1, 3, 3, 1, 3, 0, 4, 1, 4, 0, 0, 1, 1, 4, 3, 3, 1, 0, 4, 4, 3, 1, 0, 4, 2, 0, 0, 4, 3, 4, 2, 4, 2, 3, 2, 0, 2, 1, 3, 2, 1, 4, 4, 2, 2, 2, 1, 2, 3, 0, 3, 0, 0, 2, 3, 4, 4, 2, 1, 3, 1, 0, 1, 2, 0, 3, 4, 1, 2, 0, 1, 1, 1, 2, 0, 3, 3, 1, 2, 2, 1, 0, 2, 3, 4, 4, 4, 1, 1, 2, 1, 4, 4, 0, 0, 1, 3, 2, 4, 1, 3, 0, 4, 3, 1, 2, 1, 2, 0, 0, 4, 3, 2, 4, 2, 1, 1, 1, 2, 3, 0, 1, 1, 3, 3, 3, 4, 0, 3, 0, 3, 0, 3, 1, 4, 4, 1, 2, 1, 4, 3, 2, 2, 2, 4, 2, 1, 4, 2, 0, 1, 3, 4, 1, 0, 1, 2, 2, 0, 0, 4, 0, 0, 4, 0, 4, 0, 3, 2, 2, 2, 1, 1, 0, 3, 4, 3, 3, 3, 2, 2]
pubkeycol686 = [2, 3, 0, 3, 1, 4, 1, 0, 3, 1, 1, 1, 4, 1, 3, 4, 0, 3, 4, 0, 0, 0, 2, 1, 3, 3, 3, 4, 3, 0, 0, 0, 1, 1, 1, 4, 0, 2, 4, 0, 0, 3, 1, 2, 1, 4, 4, 2, 2, 0, 2, 3, 1, 3, 2, 4, 4, 3, 2, 1, 4, 0, 2, 3, 2, 1, 3, 2, 4, 4, 3, 0, 0, 2, 3, 0, 2, 3, 4, 3, 3, 3, 3, 3, 2, 0, 3, 0, 0, 0, 0, 3, 2, 4, 2, 2, 0, 0, 0, 4, 3, 2, 4, 2, 1, 2, 1, 3, 2, 1, 3, 2, 1, 3, 3, 4, 3, 1, 4, 0, 1, 0, 3, 1, 2, 1, 1, 3, 4, 4, 3, 2, 2, 0, 3, 3, 2, 1, 3, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 4, 4, 2, 0, 0, 1, 4, 4, 3, 1, 4, 4, 1, 2, 4, 1, 3, 4, 0, 4, 4, 3, 0, 1, 0, 4, 0, 2, 0, 3, 1, 4, 0, 1, 0, 3, 1, 1, 1, 1, 2, 4, 3, 2, 1, 1, 1, 2, 2, 2, 4, 0, 1, 3, 3, 3, 0, 0, 0, 0, 2, 2, 1, 4, 0, 2, 4, 4, 4, 3, 1, 0, 1, 4, 2, 0, 3, 0, 2, 0, 2, 0, 2, 4, 4, 2, 2, 4, 4, 4, 0, 4, 0, 3, 1, 3, 3, 0, 1, 4, 4, 3, 4, 1, 1, 3, 0, 1, 4, 4, 0, 3, 2, 4, 3, 1, 3, 1, 2, 3, 0, 4, 4, 3, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 3, 0, 0, 0, 1, 4, 4, 2, 1, 3, 0, 3, 0, 0, 3, 1, 2, 0, 1, 0, 4, 4, 1, 2, 2, 0, 3, 3, 3, 2, 1, 4, 1, 3, 1, 0, 0, 1, 1, 2, 2, 3, 0, 2, 0, 2, 1, 1, 4, 1, 0, 3, 3, 1, 1, 3, 3, 0, 3, 1, 0, 0, 4, 2, 0, 2, 1, 1, 2, 2, 4, 4, 2, 3, 2, 1, 3, 4, 0, 1, 2, 1, 2, 1, 4, 3, 1, 2, 0, 3, 3, 2, 3, 3, 4, 3, 0, 2, 0, 3, 1, 0, 1, 3, 4, 0, 1, 1, 3, 3, 0, 4, 2, 2, 0, 3, 4, 4, 3, 1, 3, 1, 3, 3, 1, 3, 1, 3, 0, 0, 3, 3, 2, 3, 4, 0, 0, 1, 0, 3, 4, 0, 2, 0, 3, 4, 4, 4, 1, 3, 2, 2, 4, 3, 3, 2, 1, 2, 4, 4, 3, 0, 2, 1, 4, 3, 3, 0, 2, 2, 4, 0, 3, 1, 1, 3, 1, 3, 4, 3, 3, 3, 0, 1, 3, 3, 1, 1, 0, 0, 4, 2, 1, 3, 3, 4, 3, 0, 0, 2, 1, 0, 2, 4, 4, 3, 0, 4, 1, 0, 3, 4, 1, 4, 1, 2, 2, 1]
pubkeycol687 = [4, 3, 4, 3, 1, 3, 3, 3, 4, 3, 2, 4, 4, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 4, 3, 1, 1, 2, 1, 4, 3, 2, 3, 1, 0, 4, 4, 0, 0, 1, 0, 4, 0, 4, 4, 4, 3, 0, 4, 3, 0, 1, 1, 2, 3, 1, 1, 3, 2, 0, 3, 0, 2, 3, 4, 1, 1, 4, 0, 0, 1, 1, 1, 0, 1, 4, 3, 0, 2, 4, 2, 1, 2, 0, 1, 1, 0, 4, 2, 3, 4, 0, 4, 4, 0, 3, 3, 3, 4, 3, 0, 0, 0, 2, 2, 0, 0, 0, 4, 0, 0, 2, 4, 3, 3, 0, 4, 3, 4, 4, 4, 3, 2, 0, 4, 3, 4, 4, 2, 3, 2, 1, 3, 1, 4, 2, 3, 0, 4, 0, 3, 2, 1, 2, 2, 2, 4, 1, 4, 0, 3, 2, 2, 3, 1, 1, 3, 0, 3, 0, 0, 4, 2, 4, 3, 0, 3, 4, 1, 3, 2, 3, 1, 1, 0, 1, 3, 0, 1, 0, 3, 4, 3, 1, 3, 0, 4, 3, 3, 1, 0, 2, 1, 2, 1, 1, 4, 3, 4, 1, 4, 0, 1, 4, 2, 2, 3, 1, 2, 0, 1, 3, 1, 3, 2, 1, 0, 0, 3, 0, 0, 1, 2, 1, 4, 4, 3, 3, 4, 4, 4, 3, 0, 2, 2, 0, 3, 0, 3, 2, 0, 0, 3, 0, 0, 1, 4, 1, 2, 0, 3, 3, 3, 2, 4, 1, 1, 3, 4, 2, 2, 1, 3, 0, 3, 0, 4, 2, 2, 4, 2, 1, 1, 1, 1, 3, 1, 0, 1, 2, 3, 3, 0, 2, 2, 3, 4, 3, 4, 4, 0, 1, 4, 0, 3, 2, 4, 2, 2, 4, 3, 1, 4, 2, 2, 3, 4, 2, 0, 3, 4, 4, 2, 1, 1, 0, 4, 2, 2, 1, 2, 4, 2, 2, 4, 1, 4, 0, 1, 0, 4, 3, 0, 1, 1, 3, 4, 4, 0, 4, 3, 4, 1, 0, 4, 1, 0, 3, 1, 4, 3, 1, 2, 3, 0, 0, 1, 4, 2, 2, 1, 1, 4, 3, 0, 1, 3, 2, 0, 0, 4, 1, 4, 0, 1, 2, 2, 4, 1, 2, 3, 3, 0, 4, 0, 4, 1, 3, 1, 0, 0, 4, 1, 4, 2, 1, 1, 2, 1, 4, 4, 4, 0, 3, 1, 2, 1, 4, 1, 0, 2, 3, 0, 1, 0, 4, 4, 0, 4, 0, 1, 0, 4, 0, 1, 3, 2, 0, 3, 3, 3, 1, 1, 2, 1, 3, 0, 3, 0, 1, 0, 3, 3, 1, 1, 1, 0, 3, 4, 4, 1, 2, 0, 1, 0, 0, 0, 2, 3, 2, 4, 4, 4, 0, 0, 3, 2, 4, 4, 2, 1, 0, 2, 3, 1, 0, 0, 3, 3, 2, 4, 4, 4, 0, 0, 0, 2, 0, 2, 4, 3, 4, 1, 0, 1, 3, 1, 4, 2, 4, 0, 2, 3]
pubkeycol688 = [4, 2, 0, 4, 2, 1, 3, 4, 4, 4, 3, 2, 4, 0, 4, 3, 3, 0, 2, 4, 0, 3, 4, 3, 2, 0, 4, 1, 2, 4, 1, 0, 4, 4, 0, 2, 0, 0, 1, 0, 4, 0, 1, 1, 1, 1, 3, 1, 4, 2, 2, 1, 0, 2, 4, 4, 3, 1, 1, 4, 1, 4, 1, 3, 3, 0, 2, 0, 2, 2, 3, 3, 3, 1, 0, 2, 0, 2, 4, 4, 1, 3, 0, 4, 3, 3, 1, 3, 1, 4, 2, 0, 0, 4, 3, 0, 1, 3, 4, 4, 3, 2, 1, 3, 4, 3, 2, 1, 1, 4, 2, 3, 4, 3, 3, 3, 4, 4, 4, 3, 2, 4, 1, 4, 0, 0, 0, 2, 0, 4, 1, 2, 2, 0, 1, 1, 4, 4, 1, 2, 0, 1, 2, 0, 3, 2, 0, 3, 3, 2, 0, 0, 4, 4, 4, 4, 4, 2, 2, 2, 3, 0, 3, 4, 0, 2, 2, 1, 4, 1, 0, 2, 1, 3, 3, 2, 0, 1, 0, 3, 4, 0, 3, 0, 4, 3, 3, 3, 4, 3, 0, 1, 3, 1, 4, 4, 4, 3, 0, 1, 2, 1, 4, 1, 1, 2, 4, 0, 1, 4, 1, 0, 2, 0, 1, 0, 4, 1, 1, 0, 3, 3, 4, 2, 0, 2, 1, 1, 1, 3, 2, 1, 4, 2, 1, 1, 1, 2, 1, 0, 3, 1, 0, 3, 0, 2, 4, 3, 3, 4, 4, 2, 3, 4, 4, 1, 2, 0, 0, 0, 4, 1, 1, 3, 4, 4, 4, 2, 2, 2, 1, 3, 3, 1, 2, 4, 4, 4, 4, 4, 4, 2, 0, 2, 3, 3, 1, 4, 3, 0, 2, 3, 3, 4, 3, 4, 4, 1, 0, 4, 4, 2, 2, 3, 1, 0, 0, 3, 4, 1, 2, 1, 3, 1, 3, 3, 0, 3, 4, 0, 3, 3, 0, 0, 3, 4, 2, 2, 3, 3, 1, 1, 4, 2, 1, 3, 3, 2, 3, 0, 3, 2, 2, 4, 1, 1, 1, 0, 3, 1, 3, 0, 4, 0, 3, 4, 2, 1, 3, 4, 0, 2, 4, 2, 4, 3, 2, 2, 4, 4, 3, 4, 3, 2, 4, 0, 4, 0, 3, 2, 4, 0, 3, 3, 1, 3, 3, 4, 1, 1, 0, 2, 1, 2, 0, 1, 3, 2, 1, 3, 0, 0, 2, 4, 1, 2, 2, 2, 0, 0, 3, 4, 1, 2, 1, 1, 2, 0, 1, 3, 2, 4, 1, 2, 1, 3, 3, 1, 2, 1, 4, 2, 0, 2, 3, 0, 3, 1, 4, 3, 1, 3, 3, 1, 0, 1, 4, 1, 3, 1, 4, 2, 3, 3, 1, 0, 4, 2, 0, 1, 0, 2, 0, 0, 0, 0, 4, 0, 1, 3, 0, 0, 3, 1, 0, 3, 1, 4, 4, 4, 1, 3, 3, 4, 4, 1, 2, 3, 1, 4, 0, 1, 2, 3, 4, 2, 2, 1, 2, 0, 3, 1, 4, 1, 4]
pubkeycol689 = [3, 0, 1, 4, 4, 1, 0, 4, 0, 2, 2, 2, 2, 4, 4, 2, 4, 3, 3, 0, 2, 2, 0, 1, 2, 4, 1, 0, 2, 3, 2, 4, 2, 3, 0, 4, 0, 0, 3, 4, 3, 1, 4, 2, 4, 1, 1, 4, 1, 4, 4, 3, 0, 4, 3, 0, 1, 0, 4, 2, 4, 3, 0, 3, 0, 1, 4, 0, 0, 4, 0, 0, 4, 2, 1, 4, 0, 2, 1, 3, 4, 1, 2, 4, 1, 3, 1, 3, 3, 1, 4, 3, 0, 4, 0, 0, 1, 3, 1, 4, 2, 2, 2, 2, 1, 4, 4, 4, 0, 3, 4, 1, 1, 0, 2, 1, 4, 2, 4, 3, 0, 4, 1, 2, 0, 4, 3, 3, 0, 4, 0, 2, 2, 4, 1, 1, 0, 0, 2, 2, 1, 3, 1, 0, 3, 1, 2, 2, 2, 1, 2, 3, 2, 0, 3, 0, 1, 4, 0, 0, 0, 3, 3, 4, 1, 4, 3, 0, 3, 3, 1, 2, 0, 1, 2, 3, 0, 1, 4, 0, 4, 2, 1, 3, 1, 2, 3, 4, 0, 0, 3, 4, 4, 0, 0, 3, 4, 2, 1, 4, 2, 0, 3, 1, 1, 0, 4, 2, 2, 4, 4, 4, 3, 3, 3, 2, 4, 1, 0, 3, 4, 3, 4, 1, 3, 2, 2, 1, 3, 2, 4, 4, 3, 1, 4, 3, 0, 3, 1, 2, 3, 0, 4, 1, 3, 2, 4, 2, 3, 0, 2, 1, 0, 2, 4, 4, 0, 3, 0, 3, 4, 4, 3, 1, 4, 1, 3, 2, 1, 0, 0, 4, 3, 4, 4, 2, 3, 3, 2, 4, 2, 1, 2, 1, 0, 0, 2, 1, 4, 1, 4, 2, 3, 4, 2, 3, 3, 1, 0, 4, 1, 1, 3, 3, 1, 1, 0, 4, 0, 4, 2, 1, 3, 4, 2, 1, 0, 2, 1, 1, 0, 1, 0, 3, 3, 3, 1, 4, 0, 4, 1, 1, 4, 0, 3, 4, 4, 0, 0, 4, 3, 2, 1, 1, 0, 1, 1, 4, 3, 0, 1, 3, 0, 4, 0, 3, 4, 4, 1, 4, 4, 2, 0, 0, 0, 1, 1, 3, 0, 3, 4, 0, 0, 0, 3, 3, 0, 4, 4, 2, 4, 4, 3, 2, 3, 0, 3, 0, 2, 1, 2, 0, 3, 1, 0, 4, 1, 0, 1, 1, 4, 4, 1, 1, 1, 3, 3, 0, 3, 2, 0, 0, 1, 4, 0, 3, 2, 2, 4, 4, 4, 3, 2, 4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 1, 0, 3, 1, 3, 4, 1, 2, 1, 4, 0, 3, 2, 4, 3, 4, 2, 1, 4, 4, 3, 4, 1, 2, 2, 4, 2, 0, 1, 2, 1, 3, 3, 2, 2, 3, 4, 2, 0, 1, 3, 3, 0, 1, 4, 3, 1, 0, 2, 4, 3, 2, 2, 3, 3, 3, 2, 4, 4, 1, 0, 3, 4, 3, 1, 0, 1, 4, 2, 0, 1]
pubkeycol690 = [2, 3, 0, 4, 1, 0, 3, 4, 0, 2, 4, 0, 0, 4, 2, 1, 3, 4, 3, 3, 2, 3, 0, 3, 2, 4, 4, 3, 4, 3, 1, 4, 2, 3, 2, 0, 3, 0, 1, 0, 4, 4, 3, 2, 3, 2, 1, 0, 0, 1, 3, 1, 4, 2, 2, 4, 2, 1, 0, 0, 1, 4, 3, 3, 1, 2, 1, 0, 1, 3, 3, 0, 4, 2, 4, 0, 2, 2, 2, 0, 2, 4, 1, 0, 2, 2, 1, 1, 3, 4, 2, 1, 1, 2, 4, 3, 1, 2, 4, 3, 0, 1, 1, 1, 0, 3, 4, 0, 3, 3, 0, 1, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 3, 4, 1, 2, 0, 3, 0, 0, 2, 2, 1, 3, 0, 3, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 4, 0, 2, 2, 2, 0, 2, 4, 0, 2, 2, 0, 0, 4, 2, 0, 0, 3, 3, 1, 3, 1, 1, 1, 1, 0, 2, 2, 2, 3, 1, 0, 0, 0, 1, 0, 0, 2, 3, 3, 3, 2, 0, 1, 2, 1, 4, 3, 3, 3, 1, 1, 1, 4, 1, 4, 4, 2, 2, 3, 1, 1, 3, 1, 0, 4, 2, 1, 1, 0, 3, 1, 4, 4, 2, 0, 3, 2, 2, 0, 3, 3, 3, 4, 3, 2, 3, 2, 3, 1, 1, 2, 3, 4, 1, 0, 2, 4, 3, 0, 0, 1, 3, 0, 3, 0, 0, 2, 0, 1, 3, 2, 3, 3, 4, 3, 2, 0, 0, 2, 4, 2, 4, 4, 3, 3, 4, 3, 0, 0, 1, 4, 0, 1, 0, 2, 1, 2, 0, 2, 3, 3, 3, 3, 2, 3, 4, 2, 4, 2, 0, 3, 4, 1, 3, 1, 3, 1, 0, 0, 2, 3, 2, 2, 0, 4, 0, 1, 0, 3, 0, 0, 1, 0, 1, 2, 4, 0, 4, 4, 2, 4, 1, 1, 3, 0, 2, 0, 4, 3, 3, 1, 4, 3, 4, 0, 0, 4, 3, 2, 3, 2, 3, 1, 1, 4, 3, 3, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 4, 4, 2, 3, 1, 2, 1, 4, 0, 3, 0, 2, 3, 0, 0, 3, 0, 2, 1, 0, 0, 3, 2, 3, 2, 4, 1, 4, 1, 4, 1, 4, 4, 2, 2, 2, 0, 1, 1, 3, 0, 2, 4, 2, 1, 4, 1, 2, 3, 4, 4, 1, 3, 3, 1, 0, 2, 3, 4, 2, 0, 2, 3, 2, 0, 0, 0, 4, 2, 3, 0, 3, 1, 3, 4, 2, 0, 3, 0, 2, 4, 4, 1, 4, 4, 0, 2, 4, 1, 4, 2, 4, 1, 0, 0, 2, 4, 3, 3, 4, 1, 1, 4, 4, 0, 4, 0, 1, 4, 2, 4, 1, 3, 1, 4, 3, 3, 2, 1, 0, 1, 1, 1, 3, 1, 2, 3, 0, 0, 0, 3, 0, 1, 0, 4, 1, 4, 1]
pubkeycol691 = [3, 2, 0, 0, 1, 4, 4, 1, 1, 3, 1, 4, 4, 0, 4, 1, 3, 3, 3, 2, 3, 1, 1, 2, 3, 0, 3, 3, 4, 0, 1, 0, 3, 2, 0, 2, 4, 2, 3, 1, 0, 1, 4, 3, 1, 4, 0, 0, 3, 3, 0, 3, 1, 0, 1, 0, 0, 4, 1, 2, 1, 0, 3, 4, 0, 2, 3, 0, 3, 3, 2, 3, 1, 3, 3, 0, 4, 1, 1, 0, 0, 2, 1, 1, 1, 4, 4, 0, 3, 3, 1, 1, 0, 2, 3, 4, 3, 1, 1, 1, 2, 2, 1, 3, 3, 3, 4, 2, 4, 3, 4, 1, 3, 1, 0, 1, 1, 1, 4, 3, 3, 2, 1, 4, 4, 0, 3, 2, 0, 0, 0, 2, 1, 4, 0, 0, 3, 3, 4, 4, 1, 0, 3, 2, 3, 3, 2, 3, 0, 3, 0, 2, 4, 3, 3, 0, 2, 3, 0, 3, 3, 3, 2, 0, 1, 2, 0, 2, 2, 2, 3, 1, 3, 0, 0, 4, 0, 2, 4, 1, 1, 2, 0, 4, 3, 2, 4, 3, 3, 0, 4, 3, 4, 0, 3, 0, 1, 0, 4, 0, 3, 0, 3, 4, 2, 0, 1, 1, 4, 4, 0, 0, 4, 3, 4, 0, 1, 1, 4, 2, 2, 1, 4, 1, 0, 3, 2, 3, 4, 2, 1, 4, 3, 2, 3, 2, 0, 1, 1, 1, 3, 3, 1, 0, 4, 1, 1, 4, 0, 4, 2, 3, 2, 4, 0, 4, 3, 4, 4, 4, 0, 3, 0, 4, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 4, 3, 2, 0, 2, 0, 3, 3, 0, 1, 2, 3, 1, 0, 4, 2, 0, 1, 1, 2, 1, 3, 2, 0, 1, 2, 0, 2, 4, 1, 1, 1, 0, 4, 1, 4, 3, 3, 0, 0, 3, 4, 3, 0, 4, 0, 1, 2, 4, 4, 4, 4, 4, 4, 0, 0, 2, 1, 3, 1, 2, 1, 2, 2, 2, 3, 2, 4, 4, 3, 1, 4, 3, 3, 1, 2, 3, 3, 3, 3, 1, 3, 3, 2, 1, 2, 0, 4, 1, 1, 3, 0, 2, 2, 0, 4, 4, 4, 0, 0, 4, 1, 3, 4, 3, 3, 2, 0, 2, 2, 1, 3, 2, 3, 3, 3, 4, 3, 1, 1, 3, 2, 1, 2, 3, 3, 3, 3, 2, 2, 4, 4, 2, 0, 3, 4, 0, 1, 0, 3, 1, 3, 0, 4, 2, 2, 4, 1, 2, 4, 0, 2, 0, 3, 3, 2, 3, 0, 2, 1, 4, 2, 4, 0, 3, 1, 3, 1, 3, 4, 2, 4, 3, 3, 0, 3, 2, 1, 1, 2, 0, 1, 3, 1, 2, 1, 4, 2, 2, 1, 3, 3, 4, 2, 2, 2, 2, 3, 1, 0, 1, 0, 3, 4, 2, 0, 3, 4, 1, 1, 2, 1, 4, 3, 3, 2, 2, 4, 1, 3, 1, 4, 1, 1, 2, 4]
pubkeycol692 = [1, 2, 2, 2, 1, 4, 1, 2, 0, 4, 4, 2, 4, 2, 2, 2, 4, 4, 1, 0, 1, 0, 3, 0, 3, 2, 0, 3, 1, 0, 0, 3, 2, 3, 1, 1, 1, 4, 0, 2, 1, 0, 3, 1, 2, 0, 3, 1, 0, 2, 3, 3, 1, 2, 4, 4, 1, 1, 4, 1, 1, 2, 3, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 3, 0, 3, 3, 4, 2, 1, 2, 3, 2, 1, 0, 3, 4, 4, 1, 1, 1, 4, 4, 3, 0, 0, 2, 2, 4, 0, 0, 1, 1, 0, 1, 4, 0, 0, 2, 3, 1, 4, 4, 3, 4, 3, 0, 2, 2, 3, 0, 3, 0, 2, 1, 3, 3, 1, 2, 0, 3, 3, 0, 2, 2, 2, 2, 2, 0, 4, 1, 2, 0, 3, 2, 3, 2, 3, 3, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 3, 2, 4, 0, 0, 2, 1, 4, 4, 3, 3, 4, 1, 3, 3, 3, 0, 4, 1, 1, 0, 4, 4, 4, 0, 2, 1, 3, 4, 3, 3, 0, 1, 0, 3, 0, 3, 2, 1, 1, 4, 0, 1, 0, 3, 1, 4, 3, 3, 1, 0, 4, 4, 1, 0, 4, 4, 0, 3, 1, 3, 1, 1, 2, 1, 0, 3, 1, 0, 4, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 4, 0, 4, 4, 4, 2, 1, 3, 2, 3, 3, 3, 2, 3, 1, 4, 0, 1, 2, 1, 3, 1, 4, 1, 3, 0, 0, 1, 4, 4, 2, 0, 1, 0, 2, 1, 4, 2, 1, 4, 2, 4, 4, 4, 2, 4, 4, 0, 1, 2, 4, 4, 4, 0, 1, 1, 4, 3, 4, 0, 1, 0, 1, 1, 1, 3, 0, 4, 3, 4, 2, 4, 1, 2, 2, 2, 1, 3, 3, 0, 3, 0, 3, 1, 3, 0, 1, 1, 2, 0, 4, 3, 2, 2, 4, 4, 3, 3, 2, 3, 3, 2, 4, 0, 1, 4, 3, 1, 1, 1, 3, 0, 3, 0, 3, 2, 3, 1, 2, 2, 3, 3, 0, 4, 4, 1, 4, 1, 0, 1, 1, 0, 4, 4, 4, 3, 1, 1, 2, 4, 0, 2, 1, 2, 3, 3, 0, 4, 2, 2, 3, 1, 2, 3, 1, 0, 2, 4, 4, 0, 4, 2, 2, 0, 4, 4, 2, 4, 1, 2, 3, 4, 3, 3, 0, 3, 2, 4, 1, 1, 4, 2, 0, 4, 3, 4, 2, 4, 2, 0, 4, 0, 4, 0, 3, 1, 0, 2, 1, 1, 3, 2, 2, 3, 3, 4, 0, 2, 1, 2, 3, 3, 3, 3, 2, 3, 0, 3, 1, 3, 4, 1, 3, 0, 2, 3, 3, 4, 0, 4, 3, 2, 1, 2, 1, 1, 0, 4, 4, 2, 1, 2, 1, 2, 1, 0, 4, 1, 3, 1, 1, 4, 3, 1, 4, 2, 3, 1, 2, 1, 3, 2, 0, 1, 2]
pubkeycol693 = [0, 4, 1, 2, 3, 4, 2, 1, 1, 2, 1, 3, 0, 4, 2, 3, 0, 1, 0, 1, 3, 0, 4, 0, 4, 2, 2, 2, 2, 1, 2, 2, 2, 3, 2, 4, 1, 0, 1, 3, 1, 2, 3, 2, 0, 4, 0, 1, 3, 3, 0, 1, 4, 2, 1, 2, 3, 2, 1, 2, 4, 0, 3, 0, 2, 0, 0, 0, 0, 1, 3, 4, 0, 4, 1, 1, 4, 0, 3, 1, 0, 0, 0, 3, 3, 2, 3, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 3, 4, 1, 1, 1, 0, 4, 0, 0, 4, 3, 2, 4, 0, 0, 1, 0, 2, 0, 2, 0, 0, 3, 1, 0, 2, 4, 1, 4, 3, 0, 2, 2, 0, 2, 4, 2, 2, 1, 2, 0, 4, 3, 1, 2, 1, 0, 3, 0, 1, 1, 1, 1, 3, 2, 3, 2, 1, 3, 3, 1, 4, 2, 4, 1, 1, 1, 1, 0, 3, 1, 2, 0, 1, 2, 4, 0, 4, 4, 4, 0, 3, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 4, 1, 0, 3, 4, 0, 2, 4, 2, 0, 0, 1, 4, 4, 3, 0, 0, 4, 4, 0, 2, 0, 4, 1, 0, 4, 2, 1, 2, 2, 3, 4, 4, 4, 4, 2, 3, 3, 3, 1, 0, 2, 0, 2, 3, 1, 0, 1, 3, 1, 3, 3, 3, 0, 1, 3, 4, 1, 3, 4, 2, 2, 1, 0, 0, 2, 3, 1, 2, 3, 0, 3, 4, 0, 3, 2, 1, 0, 1, 2, 2, 1, 4, 2, 2, 0, 4, 0, 4, 1, 1, 3, 2, 0, 3, 1, 3, 1, 3, 2, 0, 0, 2, 1, 4, 4, 4, 2, 2, 0, 2, 4, 4, 2, 4, 1, 1, 1, 3, 3, 0, 1, 2, 4, 2, 1, 3, 3, 4, 0, 4, 1, 3, 4, 4, 1, 1, 4, 3, 2, 1, 2, 3, 4, 4, 1, 0, 4, 2, 0, 3, 2, 0, 0, 1, 0, 1, 4, 4, 1, 2, 3, 2, 3, 2, 0, 1, 2, 1, 3, 2, 2, 3, 2, 2, 4, 4, 1, 3, 1, 2, 0, 0, 0, 4, 1, 1, 3, 3, 4, 2, 4, 1, 1, 0, 3, 1, 4, 0, 0, 3, 2, 1, 1, 2, 2, 0, 2, 3, 4, 3, 0, 1, 3, 1, 4, 1, 1, 0, 2, 2, 0, 0, 0, 2, 3, 2, 0, 1, 1, 3, 1, 3, 3, 1, 0, 2, 1, 3, 1, 3, 2, 0, 4, 1, 4, 4, 4, 2, 2, 1, 4, 3, 1, 0, 3, 1, 1, 0, 2, 1, 1, 3, 2, 2, 0, 3, 2, 1, 2, 4, 0, 1, 1, 4, 0, 0, 0, 0, 2, 1, 4, 3, 2, 4, 3, 4, 3, 1, 4, 1, 4, 0, 3, 4, 1, 2, 4, 4, 0, 4, 0, 4, 1, 2, 1, 3, 4, 2, 4, 4, 3, 1, 4, 0]
pubkeycol694 = [2, 4, 0, 1, 3, 1, 4, 0, 3, 2, 3, 3, 4, 0, 2, 4, 2, 2, 4, 3, 2, 4, 2, 0, 4, 4, 3, 4, 3, 0, 1, 3, 0, 4, 4, 1, 3, 1, 3, 2, 0, 1, 0, 3, 1, 2, 3, 3, 0, 2, 0, 0, 0, 4, 1, 4, 1, 2, 2, 1, 2, 0, 3, 0, 1, 2, 3, 1, 3, 2, 4, 2, 1, 0, 3, 0, 1, 1, 0, 4, 4, 2, 3, 0, 3, 1, 4, 0, 1, 4, 0, 2, 2, 1, 4, 3, 0, 2, 4, 4, 2, 4, 2, 2, 4, 3, 0, 0, 3, 1, 4, 2, 4, 3, 3, 3, 0, 2, 2, 1, 3, 1, 2, 3, 1, 2, 3, 1, 3, 1, 2, 0, 0, 3, 1, 0, 4, 1, 2, 2, 0, 2, 4, 0, 0, 2, 3, 4, 3, 0, 1, 1, 2, 1, 2, 1, 3, 3, 3, 0, 2, 2, 2, 3, 3, 1, 3, 4, 2, 3, 1, 0, 4, 4, 0, 1, 2, 1, 3, 3, 2, 2, 3, 4, 1, 3, 1, 0, 3, 0, 1, 4, 0, 4, 0, 4, 1, 2, 4, 3, 1, 2, 1, 2, 2, 2, 4, 1, 2, 4, 3, 0, 0, 4, 2, 0, 4, 1, 2, 3, 2, 3, 3, 2, 4, 0, 3, 3, 3, 0, 4, 0, 4, 0, 3, 4, 1, 4, 1, 2, 2, 2, 3, 3, 4, 3, 4, 0, 1, 1, 2, 4, 1, 1, 0, 2, 2, 1, 2, 0, 1, 3, 0, 1, 0, 0, 1, 3, 3, 2, 0, 2, 4, 0, 3, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 3, 0, 3, 2, 1, 0, 4, 3, 1, 1, 3, 4, 1, 2, 4, 2, 1, 3, 2, 4, 4, 0, 0, 3, 4, 1, 3, 4, 3, 2, 2, 2, 2, 4, 1, 3, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 0, 0, 1, 3, 4, 3, 2, 2, 2, 1, 0, 1, 3, 3, 4, 2, 4, 3, 0, 4, 3, 3, 3, 4, 4, 2, 3, 3, 3, 4, 2, 0, 4, 2, 2, 0, 0, 4, 2, 4, 2, 1, 2, 3, 0, 1, 0, 0, 0, 2, 4, 2, 1, 3, 4, 1, 1, 4, 2, 1, 2, 2, 2, 0, 2, 0, 2, 4, 0, 1, 1, 4, 0, 0, 1, 2, 0, 4, 2, 1, 0, 4, 2, 4, 2, 1, 4, 2, 0, 4, 4, 4, 0, 3, 3, 0, 4, 2, 1, 3, 0, 2, 2, 2, 1, 4, 2, 2, 4, 1, 2, 2, 0, 1, 2, 4, 0, 3, 2, 2, 3, 2, 2, 0, 3, 3, 4, 1, 2, 4, 4, 1, 0, 2, 2, 2, 0, 4, 1, 0, 0, 4, 3, 4, 0, 2, 1, 0, 0, 3, 3, 1, 3, 0, 0, 1, 0, 3, 0, 2, 1, 4, 2, 3, 1, 2, 2, 3, 4, 0, 4]
pubkeycol695 = [1, 3, 0, 4, 0, 3, 3, 4, 3, 3, 4, 3, 2, 1, 4, 4, 1, 3, 2, 0, 3, 3, 1, 1, 3, 4, 0, 1, 0, 4, 2, 2, 2, 1, 1, 2, 4, 0, 4, 2, 1, 3, 3, 4, 3, 4, 3, 2, 1, 4, 0, 2, 0, 4, 3, 3, 0, 3, 4, 2, 0, 4, 4, 1, 4, 1, 1, 3, 1, 2, 4, 4, 2, 4, 4, 2, 0, 3, 1, 4, 4, 0, 1, 1, 4, 3, 4, 0, 0, 4, 4, 1, 4, 3, 4, 4, 4, 4, 1, 0, 0, 1, 3, 2, 1, 3, 0, 2, 1, 2, 3, 1, 2, 0, 1, 4, 3, 3, 0, 1, 2, 2, 4, 0, 0, 3, 1, 0, 2, 1, 1, 3, 4, 1, 2, 3, 4, 3, 1, 0, 1, 4, 1, 4, 0, 3, 4, 2, 0, 2, 2, 2, 2, 4, 0, 4, 4, 4, 4, 3, 4, 1, 1, 0, 3, 2, 0, 0, 3, 4, 4, 4, 0, 1, 1, 0, 0, 2, 1, 3, 2, 3, 3, 0, 4, 3, 0, 4, 2, 2, 0, 0, 1, 0, 3, 0, 2, 4, 3, 3, 4, 2, 1, 1, 1, 4, 3, 3, 0, 2, 0, 4, 4, 0, 1, 4, 1, 0, 2, 0, 0, 4, 4, 3, 3, 2, 0, 4, 3, 4, 3, 3, 4, 4, 3, 4, 3, 1, 3, 4, 4, 0, 1, 1, 0, 1, 3, 1, 3, 3, 1, 4, 4, 4, 1, 0, 0, 3, 3, 4, 1, 2, 2, 3, 1, 4, 1, 4, 3, 0, 3, 3, 0, 1, 0, 0, 4, 0, 0, 3, 1, 2, 4, 3, 0, 4, 0, 4, 2, 1, 2, 3, 0, 3, 2, 4, 1, 3, 4, 4, 4, 0, 3, 4, 3, 3, 1, 1, 4, 4, 2, 0, 4, 4, 4, 0, 0, 4, 1, 1, 3, 2, 4, 4, 1, 2, 4, 1, 4, 4, 1, 0, 4, 0, 2, 3, 2, 2, 1, 4, 2, 0, 4, 1, 3, 3, 1, 4, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 3, 4, 3, 0, 2, 3, 2, 1, 2, 0, 2, 0, 0, 4, 3, 2, 1, 0, 4, 1, 0, 1, 0, 3, 1, 1, 2, 3, 2, 2, 3, 4, 2, 0, 4, 2, 4, 3, 2, 2, 3, 0, 0, 0, 1, 2, 0, 4, 2, 4, 0, 0, 2, 2, 1, 1, 0, 1, 4, 1, 2, 3, 1, 3, 0, 2, 2, 0, 0, 3, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 3, 0, 0, 4, 1, 4, 3, 3, 2, 1, 3, 3, 2, 2, 0, 0, 0, 2, 1, 0, 4, 1, 2, 0, 4, 1, 4, 3, 0, 4, 0, 1, 1, 4, 4, 1, 2, 4, 3, 1, 3, 0, 0, 3, 4, 3, 1, 4, 3, 3, 2, 1, 1, 2, 3, 3, 3, 3, 3, 3, 1, 4, 3, 0, 4]
pubkeycol696 = [1, 4, 0, 4, 3, 3, 3, 3, 4, 3, 2, 4, 4, 0, 3, 4, 3, 1, 1, 4, 4, 3, 1, 2, 4, 4, 3, 1, 4, 3, 2, 4, 4, 0, 4, 4, 3, 1, 1, 0, 2, 3, 3, 2, 4, 4, 4, 2, 2, 4, 4, 3, 0, 0, 1, 0, 0, 4, 3, 4, 3, 1, 4, 0, 1, 3, 4, 3, 1, 1, 0, 0, 4, 3, 4, 3, 4, 4, 3, 1, 4, 4, 2, 4, 4, 2, 0, 2, 3, 4, 2, 3, 4, 3, 4, 2, 4, 3, 0, 2, 3, 0, 0, 2, 3, 2, 4, 0, 0, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 1, 4, 2, 4, 0, 3, 4, 2, 2, 1, 3, 1, 1, 2, 4, 4, 2, 0, 0, 0, 3, 1, 2, 3, 1, 3, 0, 2, 4, 1, 1, 0, 0, 1, 4, 2, 0, 2, 4, 2, 1, 3, 2, 4, 2, 4, 0, 4, 2, 1, 2, 2, 0, 1, 3, 0, 1, 1, 3, 0, 4, 1, 2, 0, 4, 3, 3, 1, 4, 3, 0, 2, 2, 2, 1, 3, 1, 3, 2, 2, 4, 4, 1, 2, 4, 1, 1, 3, 4, 4, 3, 0, 4, 3, 4, 4, 4, 2, 2, 3, 2, 4, 4, 4, 4, 4, 3, 2, 1, 2, 1, 3, 0, 0, 2, 0, 1, 1, 3, 0, 1, 3, 1, 2, 4, 3, 1, 0, 3, 0, 3, 2, 2, 3, 4, 2, 1, 0, 1, 3, 3, 0, 4, 1, 0, 0, 4, 2, 0, 4, 1, 4, 2, 4, 2, 2, 4, 1, 4, 2, 1, 2, 1, 1, 0, 4, 3, 2, 4, 3, 1, 2, 4, 3, 1, 1, 0, 4, 3, 3, 4, 0, 1, 1, 3, 1, 3, 3, 3, 0, 4, 4, 2, 1, 2, 3, 3, 2, 4, 3, 0, 1, 0, 4, 4, 4, 0, 2, 3, 4, 4, 4, 4, 1, 3, 3, 2, 3, 3, 2, 4, 3, 2, 0, 4, 1, 1, 0, 1, 1, 2, 1, 3, 1, 1, 0, 4, 1, 4, 4, 4, 0, 0, 2, 4, 3, 4, 1, 3, 2, 0, 1, 3, 2, 3, 4, 2, 1, 2, 1, 2, 2, 0, 4, 1, 4, 1, 1, 3, 1, 0, 3, 1, 2, 4, 4, 0, 3, 3, 2, 1, 4, 3, 1, 0, 3, 0, 1, 3, 2, 0, 3, 1, 3, 4, 1, 4, 0, 1, 0, 4, 1, 1, 4, 1, 2, 3, 3, 4, 2, 3, 3, 1, 0, 1, 2, 3, 3, 1, 3, 4, 2, 3, 4, 2, 3, 1, 4, 2, 2, 0, 0, 0, 1, 1, 3, 4, 4, 1, 3, 3, 0, 1, 0, 4, 4, 3, 3, 3, 0, 2, 3, 1, 0, 1, 0, 4, 3, 2, 0, 1, 0, 1, 3, 1, 2, 0, 4, 3, 0, 1, 1, 3, 4, 2, 3, 4, 4, 1, 0, 0, 1, 3, 0, 4, 3]
pubkeycol697 = [1, 3, 4, 2, 2, 3, 1, 1, 4, 0, 3, 3, 4, 0, 1, 3, 3, 1, 4, 1, 3, 3, 2, 0, 0, 4, 1, 0, 3, 1, 1, 3, 1, 4, 0, 0, 1, 0, 2, 0, 3, 0, 3, 0, 3, 1, 2, 3, 0, 1, 3, 2, 0, 1, 2, 2, 2, 2, 2, 3, 0, 2, 3, 2, 3, 0, 1, 4, 3, 3, 4, 0, 1, 2, 4, 2, 4, 0, 3, 0, 3, 2, 3, 3, 0, 4, 2, 0, 2, 4, 0, 2, 2, 1, 2, 0, 1, 4, 3, 4, 4, 4, 0, 4, 4, 4, 1, 3, 3, 1, 4, 1, 2, 0, 1, 2, 3, 2, 0, 1, 1, 0, 4, 1, 2, 0, 4, 3, 4, 1, 4, 3, 0, 3, 1, 3, 0, 3, 4, 1, 1, 3, 3, 2, 3, 4, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 3, 4, 1, 1, 0, 0, 1, 3, 0, 3, 3, 0, 4, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 3, 0, 2, 0, 3, 1, 4, 4, 1, 3, 1, 0, 4, 0, 4, 0, 3, 3, 2, 4, 2, 0, 4, 1, 3, 4, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 4, 2, 1, 2, 2, 2, 1, 0, 4, 2, 0, 4, 0, 0, 3, 2, 0, 2, 2, 0, 4, 2, 0, 3, 3, 2, 3, 2, 3, 1, 0, 2, 2, 0, 0, 4, 0, 3, 2, 0, 4, 3, 0, 1, 3, 4, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 4, 0, 4, 1, 4, 1, 4, 3, 3, 0, 3, 1, 1, 2, 0, 3, 1, 0, 1, 4, 1, 3, 1, 1, 3, 3, 4, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 3, 1, 0, 2, 0, 0, 0, 2, 3, 1, 0, 4, 4, 2, 1, 2, 1, 1, 4, 3, 2, 1, 3, 4, 1, 3, 2, 1, 4, 4, 1, 0, 2, 0, 4, 0, 2, 3, 3, 3, 2, 0, 1, 0, 0, 4, 0, 2, 2, 2, 1, 1, 2, 4, 0, 0, 0, 1, 4, 1, 0, 0, 2, 1, 2, 2, 0, 3, 4, 4, 2, 4, 4, 2, 0, 4, 3, 3, 4, 3, 0, 1, 2, 3, 1, 3, 3, 2, 4, 4, 1, 1, 2, 2, 1, 0, 0, 4, 0, 3, 0, 0, 3, 0, 2, 3, 1, 3, 0, 4, 0, 0, 0, 2, 4, 1, 2, 0, 1, 2, 0, 1, 4, 4, 1, 3, 4, 1, 1, 0, 4, 3, 1, 3, 1, 0, 3, 4, 4, 0, 2, 3, 4, 2, 4, 3, 1, 4, 3, 2, 2, 2, 4, 2, 2, 0, 2, 2, 3, 1, 1, 2, 3, 0, 0, 3, 2, 2, 4, 4, 4, 4, 1, 4, 0, 4, 1, 3, 3, 1, 4, 0, 0, 1, 1, 3, 0, 1]
pubkeycol698 = [3, 2, 2, 1, 0, 0, 0, 2, 2, 4, 2, 0, 0, 4, 1, 2, 1, 2, 2, 0, 2, 1, 3, 3, 3, 3, 2, 4, 4, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 4, 3, 4, 4, 0, 4, 4, 1, 2, 3, 1, 3, 3, 0, 4, 2, 0, 1, 0, 2, 3, 4, 0, 3, 2, 3, 2, 2, 2, 3, 0, 1, 4, 3, 2, 2, 1, 2, 4, 1, 1, 0, 1, 4, 3, 3, 2, 2, 2, 2, 0, 3, 1, 3, 1, 2, 3, 2, 4, 4, 2, 3, 4, 1, 2, 0, 4, 3, 0, 3, 3, 3, 1, 1, 4, 4, 1, 0, 0, 1, 2, 3, 0, 4, 1, 1, 4, 2, 1, 4, 0, 3, 1, 4, 0, 4, 0, 3, 0, 3, 0, 1, 2, 1, 3, 1, 0, 0, 1, 2, 0, 4, 0, 1, 3, 0, 0, 4, 2, 4, 3, 1, 3, 1, 3, 4, 1, 0, 1, 2, 4, 2, 1, 3, 2, 1, 4, 0, 3, 2, 4, 3, 4, 0, 0, 4, 0, 2, 4, 3, 1, 1, 1, 4, 2, 2, 2, 2, 3, 0, 2, 3, 2, 4, 4, 1, 3, 2, 1, 4, 1, 4, 3, 1, 2, 1, 0, 0, 3, 3, 0, 4, 1, 4, 1, 3, 1, 1, 0, 4, 1, 4, 0, 0, 3, 3, 4, 1, 0, 3, 0, 2, 4, 0, 2, 0, 4, 3, 3, 4, 3, 0, 1, 2, 3, 2, 4, 3, 1, 4, 0, 3, 2, 0, 0, 1, 1, 4, 4, 4, 3, 1, 3, 0, 4, 3, 1, 3, 1, 2, 0, 1, 0, 0, 4, 2, 3, 2, 0, 4, 2, 4, 4, 3, 3, 1, 4, 2, 4, 3, 2, 2, 2, 4, 3, 4, 1, 0, 3, 1, 1, 0, 3, 2, 4, 0, 1, 4, 4, 3, 1, 4, 0, 0, 1, 2, 0, 0, 3, 2, 4, 1, 4, 0, 1, 2, 4, 2, 3, 3, 1, 0, 0, 4, 1, 1, 1, 3, 3, 1, 0, 2, 2, 3, 1, 3, 0, 0, 2, 0, 0, 4, 4, 4, 1, 2, 2, 1, 3, 3, 0, 3, 0, 1, 0, 1, 2, 2, 4, 2, 1, 3, 1, 4, 3, 3, 0, 2, 1, 0, 2, 3, 3, 1, 2, 1, 3, 1, 0, 4, 3, 0, 1, 0, 2, 0, 4, 0, 1, 2, 1, 2, 0, 3, 1, 1, 2, 1, 4, 0, 1, 2, 0, 1, 4, 3, 1, 3, 1, 0, 0, 3, 3, 3, 0, 1, 2, 2, 4, 0, 2, 2, 0, 4, 3, 2, 4, 0, 0, 2, 1, 4, 2, 1, 2, 1, 1, 1, 2, 1, 0, 4, 0, 3, 0, 4, 2, 0, 4, 3, 4, 1, 4, 4, 1, 4, 4, 1, 4, 0, 4, 3, 0, 3, 3, 1, 2, 1, 0, 4, 0, 3, 3, 0, 0, 3, 3, 2, 0, 4, 2, 2, 2, 1, 3]
pubkeycol699 = [0, 2, 3, 1, 2, 2, 1, 4, 2, 1, 4, 3, 2, 4, 2, 2, 4, 1, 1, 4, 4, 4, 0, 2, 0, 1, 3, 1, 2, 2, 3, 0, 3, 0, 0, 4, 4, 4, 3, 4, 3, 0, 3, 1, 4, 2, 0, 1, 2, 4, 2, 4, 0, 1, 3, 1, 2, 2, 2, 4, 4, 0, 2, 2, 0, 3, 2, 1, 4, 4, 4, 4, 2, 3, 2, 2, 4, 1, 0, 4, 1, 3, 3, 4, 0, 4, 4, 0, 1, 0, 2, 0, 2, 4, 4, 0, 0, 0, 2, 0, 3, 4, 1, 3, 1, 4, 1, 1, 2, 3, 4, 2, 0, 0, 1, 2, 3, 2, 3, 4, 2, 4, 0, 3, 0, 4, 2, 0, 2, 4, 0, 3, 3, 0, 3, 1, 2, 2, 4, 2, 4, 0, 2, 2, 2, 4, 0, 2, 4, 0, 0, 4, 0, 2, 1, 1, 0, 0, 4, 1, 2, 3, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 3, 1, 3, 0, 1, 1, 1, 0, 1, 4, 0, 2, 0, 4, 3, 2, 0, 2, 3, 4, 2, 4, 2, 2, 4, 3, 3, 4, 1, 4, 4, 0, 3, 3, 0, 2, 4, 0, 2, 0, 1, 4, 1, 2, 2, 4, 1, 2, 1, 0, 0, 0, 4, 3, 0, 0, 3, 3, 4, 3, 2, 2, 0, 1, 2, 4, 2, 0, 0, 3, 1, 1, 0, 2, 4, 0, 4, 4, 2, 3, 4, 0, 0, 1, 4, 3, 0, 4, 3, 2, 1, 0, 0, 1, 3, 0, 3, 1, 4, 2, 0, 1, 2, 4, 4, 3, 4, 0, 3, 2, 2, 1, 0, 2, 1, 3, 1, 0, 3, 4, 1, 1, 1, 0, 0, 1, 3, 1, 0, 2, 1, 1, 3, 3, 3, 2, 3, 2, 4, 3, 3, 2, 0, 1, 1, 2, 2, 2, 0, 2, 3, 1, 0, 4, 1, 4, 3, 2, 4, 0, 0, 3, 2, 2, 1, 3, 3, 1, 4, 0, 2, 4, 0, 1, 1, 0, 3, 4, 4, 2, 4, 2, 2, 1, 4, 3, 1, 4, 3, 2, 0, 3, 2, 0, 1, 0, 1, 0, 2, 2, 4, 0, 0, 0, 2, 4, 4, 1, 2, 1, 3, 3, 2, 3, 4, 3, 1, 1, 4, 3, 0, 3, 4, 1, 4, 2, 0, 2, 0, 4, 3, 2, 3, 2, 2, 2, 3, 0, 2, 4, 4, 4, 3, 3, 0, 0, 3, 2, 1, 3, 0, 4, 2, 0, 3, 2, 4, 4, 0, 3, 2, 2, 0, 0, 2, 3, 4, 0, 2, 4, 4, 0, 4, 2, 2, 4, 3, 0, 0, 4, 3, 1, 1, 2, 0, 0, 3, 1, 0, 1, 3, 2, 2, 2, 2, 4, 3, 0, 0, 0, 3, 0, 1, 0, 4, 4, 2, 4, 4, 4, 3, 2, 3, 4, 2, 4, 1, 1, 3, 4, 4, 0, 3, 1, 4, 1, 4, 1]
pubkeycol700 = [3, 3, 3, 1, 4, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 3, 4, 4, 0, 1, 1, 3, 1, 1, 0, 2, 4, 1, 2, 3, 1, 0, 1, 4, 0, 3, 2, 2, 2, 3, 3, 1, 2, 2, 0, 0, 2, 2, 1, 3, 3, 1, 3, 3, 4, 1, 0, 0, 3, 1, 3, 0, 4, 3, 4, 0, 3, 4, 3, 1, 2, 3, 1, 2, 4, 0, 2, 0, 0, 1, 3, 0, 1, 0, 1, 4, 2, 4, 3, 3, 2, 4, 2, 0, 0, 0, 2, 1, 1, 2, 0, 4, 0, 2, 1, 0, 3, 4, 1, 2, 1, 2, 0, 4, 2, 3, 3, 0, 0, 4, 2, 2, 0, 3, 1, 4, 4, 4, 3, 2, 3, 2, 1, 3, 1, 2, 3, 1, 3, 0, 0, 3, 2, 2, 4, 2, 2, 2, 1, 4, 3, 0, 4, 0, 3, 4, 4, 1, 0, 3, 0, 0, 1, 4, 1, 1, 4, 2, 1, 4, 4, 0, 2, 2, 3, 1, 4, 1, 0, 3, 2, 1, 4, 4, 1, 3, 3, 4, 3, 2, 1, 2, 0, 2, 2, 0, 3, 0, 4, 3, 4, 2, 2, 3, 3, 4, 3, 3, 1, 0, 3, 0, 3, 1, 3, 4, 4, 4, 2, 0, 4, 4, 1, 3, 3, 3, 3, 0, 0, 0, 2, 2, 1, 3, 0, 1, 3, 1, 2, 3, 1, 4, 3, 0, 2, 2, 2, 0, 3, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 4, 3, 0, 2, 0, 3, 4, 1, 3, 3, 2, 3, 1, 2, 1, 1, 4, 0, 2, 4, 4, 3, 3, 4, 2, 0, 3, 0, 3, 4, 3, 1, 4, 4, 3, 1, 1, 1, 0, 3, 1, 2, 4, 2, 0, 1, 0, 4, 4, 2, 4, 3, 4, 2, 3, 3, 4, 0, 4, 3, 0, 3, 4, 2, 0, 4, 4, 1, 0, 4, 0, 3, 1, 3, 4, 2, 0, 1, 0, 1, 4, 2, 2, 1, 4, 4, 4, 4, 4, 3, 1, 1, 0, 3, 2, 1, 0, 1, 3, 4, 2, 3, 3, 4, 2, 2, 4, 0, 1, 2, 2, 0, 1, 0, 4, 4, 4, 3, 0, 0, 4, 1, 3, 4, 1, 1, 0, 4, 1, 1, 0, 0, 4, 0, 4, 3, 2, 1, 0, 3, 0, 3, 2, 2, 3, 0, 1, 2, 4, 2, 2, 4, 3, 3, 0, 2, 2, 3, 0, 2, 4, 4, 4, 2, 1, 1, 1, 3, 4, 0, 3, 3, 1, 4, 1, 1, 2, 4, 0, 1, 1, 1, 4, 3, 4, 1, 3, 1, 1, 3, 0, 1, 4, 3, 0, 0, 2, 4, 3, 3, 2, 2, 2, 1, 3, 1, 2, 1, 0, 2, 3, 0, 4, 2, 3, 3, 3, 3, 1, 0, 1, 3, 2, 4, 4, 1, 2, 4, 0, 4, 3, 1, 1, 2, 4, 2, 2, 4, 0, 1, 4, 4]
pubkeycol701 = [2, 1, 2, 2, 1, 4, 3, 3, 2, 0, 1, 3, 3, 0, 1, 2, 2, 2, 3, 0, 4, 3, 1, 0, 1, 4, 1, 2, 1, 4, 2, 1, 4, 2, 0, 0, 0, 1, 4, 3, 1, 4, 2, 3, 2, 0, 0, 4, 0, 1, 4, 3, 2, 3, 1, 4, 4, 0, 1, 1, 2, 4, 2, 3, 3, 2, 4, 1, 2, 0, 2, 3, 0, 2, 2, 4, 2, 4, 4, 4, 0, 4, 1, 1, 3, 1, 3, 2, 1, 0, 0, 4, 3, 0, 4, 1, 3, 3, 2, 0, 0, 0, 4, 0, 2, 0, 3, 2, 0, 3, 2, 4, 4, 1, 0, 2, 3, 4, 0, 0, 4, 2, 1, 0, 1, 2, 1, 1, 0, 3, 0, 1, 1, 1, 0, 1, 2, 1, 1, 3, 2, 2, 1, 1, 4, 3, 3, 4, 2, 2, 2, 2, 2, 2, 1, 4, 1, 2, 0, 0, 4, 4, 1, 0, 3, 0, 3, 4, 0, 3, 3, 3, 3, 3, 4, 4, 3, 4, 3, 0, 0, 0, 0, 3, 2, 4, 3, 4, 0, 3, 2, 1, 0, 4, 2, 0, 2, 1, 1, 4, 1, 0, 3, 2, 2, 3, 2, 1, 3, 1, 2, 4, 3, 3, 3, 0, 3, 0, 2, 1, 3, 4, 4, 2, 2, 0, 2, 1, 4, 4, 1, 3, 4, 0, 2, 3, 0, 4, 0, 3, 3, 3, 2, 3, 1, 1, 1, 1, 4, 2, 2, 4, 4, 0, 0, 2, 1, 1, 2, 1, 4, 2, 3, 0, 3, 3, 0, 4, 1, 4, 0, 3, 2, 3, 3, 2, 2, 0, 4, 4, 0, 0, 4, 4, 4, 2, 4, 2, 2, 1, 2, 0, 2, 2, 3, 2, 1, 1, 2, 0, 0, 1, 0, 4, 0, 2, 4, 3, 4, 1, 4, 2, 3, 0, 1, 1, 3, 3, 2, 0, 4, 0, 2, 4, 3, 3, 2, 4, 1, 2, 0, 1, 0, 4, 2, 2, 3, 3, 3, 3, 3, 3, 0, 1, 0, 0, 4, 3, 0, 1, 1, 1, 0, 2, 4, 1, 2, 2, 3, 4, 4, 3, 2, 1, 3, 4, 1, 2, 1, 0, 1, 1, 4, 3, 0, 4, 4, 2, 3, 3, 2, 0, 2, 4, 3, 1, 1, 1, 3, 0, 1, 4, 1, 1, 4, 3, 1, 2, 2, 2, 2, 1, 0, 1, 2, 4, 0, 3, 0, 2, 4, 2, 1, 1, 1, 4, 2, 2, 1, 0, 2, 1, 1, 4, 4, 1, 3, 3, 2, 2, 0, 1, 3, 2, 4, 0, 0, 3, 4, 0, 4, 0, 1, 0, 0, 1, 2, 0, 3, 4, 3, 4, 2, 4, 0, 0, 0, 1, 0, 3, 3, 3, 1, 0, 4, 1, 2, 0, 4, 0, 2, 3, 4, 0, 1, 1, 0, 3, 3, 3, 3, 2, 2, 2, 4, 0, 1, 0, 4, 3, 2, 4, 1, 2, 4, 4, 1, 3, 0, 4, 4, 2, 2, 3, 2]
pubkeycol702 = [1, 2, 1, 4, 2, 2, 0, 0, 0, 4, 3, 1, 0, 1, 4, 0, 2, 4, 0, 3, 2, 2, 3, 2, 1, 0, 0, 1, 3, 0, 1, 4, 4, 4, 3, 0, 2, 3, 2, 4, 0, 0, 3, 2, 3, 4, 2, 0, 0, 0, 0, 3, 0, 3, 1, 3, 0, 0, 4, 0, 0, 1, 0, 0, 0, 2, 4, 0, 3, 0, 3, 4, 3, 4, 0, 3, 2, 1, 4, 0, 2, 0, 2, 0, 0, 3, 4, 0, 2, 3, 3, 3, 3, 0, 2, 1, 4, 0, 1, 1, 0, 0, 0, 3, 2, 0, 0, 3, 1, 1, 2, 0, 4, 1, 4, 0, 4, 3, 1, 1, 0, 3, 3, 0, 0, 3, 2, 4, 2, 1, 0, 1, 3, 4, 2, 4, 0, 2, 0, 1, 2, 0, 1, 3, 2, 0, 4, 0, 1, 0, 2, 1, 1, 3, 2, 3, 2, 0, 2, 2, 1, 2, 4, 4, 2, 0, 0, 4, 1, 0, 4, 2, 1, 1, 2, 0, 4, 4, 1, 2, 3, 4, 0, 2, 0, 1, 1, 3, 2, 0, 3, 0, 4, 3, 1, 1, 3, 4, 0, 2, 2, 3, 0, 4, 3, 1, 4, 4, 0, 2, 4, 0, 1, 2, 4, 1, 0, 4, 2, 3, 0, 0, 3, 1, 0, 2, 1, 1, 0, 4, 0, 1, 4, 0, 0, 1, 0, 0, 3, 3, 4, 3, 2, 1, 3, 1, 3, 3, 2, 0, 2, 4, 1, 3, 0, 1, 0, 3, 0, 4, 0, 3, 1, 1, 1, 2, 4, 2, 1, 2, 4, 1, 1, 1, 3, 1, 4, 3, 0, 0, 2, 4, 1, 4, 0, 4, 1, 2, 1, 4, 1, 4, 1, 1, 2, 2, 1, 0, 3, 4, 3, 4, 2, 3, 1, 4, 3, 1, 4, 4, 1, 2, 0, 2, 2, 0, 2, 2, 3, 0, 4, 4, 2, 3, 3, 1, 4, 3, 3, 0, 2, 1, 2, 3, 4, 0, 2, 2, 4, 3, 3, 2, 3, 1, 0, 0, 3, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 4, 4, 2, 1, 4, 2, 1, 2, 3, 4, 1, 2, 3, 1, 1, 4, 3, 0, 1, 0, 0, 1, 0, 2, 4, 1, 3, 1, 2, 2, 4, 2, 2, 1, 1, 1, 2, 1, 2, 0, 4, 3, 0, 1, 1, 3, 1, 1, 1, 0, 0, 4, 2, 1, 1, 4, 3, 0, 0, 2, 0, 3, 2, 3, 4, 1, 2, 1, 3, 2, 0, 4, 4, 0, 4, 4, 4, 1, 2, 2, 4, 1, 4, 2, 3, 4, 4, 1, 1, 4, 2, 4, 1, 3, 4, 2, 4, 4, 3, 3, 3, 2, 0, 1, 0, 4, 1, 4, 4, 3, 0, 2, 4, 1, 3, 3, 4, 0, 4, 4, 0, 3, 3, 2, 3, 3, 0, 4, 4, 2, 2, 4, 2, 1, 2, 1, 0, 2, 4, 3, 3, 2, 4, 1, 1]
pubkeycol703 = [3, 1, 0, 4, 1, 3, 0, 1, 4, 2, 0, 2, 0, 4, 2, 3, 4, 1, 1, 3, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 3, 1, 0, 4, 1, 2, 2, 2, 3, 2, 0, 1, 1, 3, 3, 1, 4, 3, 2, 3, 2, 0, 1, 3, 2, 3, 4, 4, 1, 3, 4, 0, 3, 1, 4, 3, 4, 1, 0, 0, 4, 3, 3, 0, 3, 2, 2, 4, 2, 4, 3, 3, 1, 2, 1, 2, 4, 3, 3, 3, 1, 2, 0, 0, 1, 4, 3, 3, 0, 3, 4, 4, 4, 2, 4, 3, 2, 4, 4, 0, 1, 1, 3, 4, 4, 3, 4, 2, 3, 0, 3, 1, 4, 4, 3, 4, 3, 1, 1, 4, 4, 1, 4, 0, 2, 0, 4, 2, 4, 1, 4, 3, 0, 0, 3, 4, 1, 2, 1, 1, 3, 3, 3, 1, 3, 0, 3, 4, 4, 0, 3, 4, 3, 3, 3, 2, 1, 4, 3, 4, 2, 1, 2, 3, 3, 4, 4, 1, 1, 0, 3, 2, 3, 0, 2, 1, 0, 3, 2, 0, 3, 2, 4, 1, 4, 2, 1, 1, 0, 3, 3, 2, 4, 3, 0, 1, 4, 0, 1, 0, 4, 0, 0, 1, 3, 3, 1, 0, 0, 4, 2, 1, 4, 4, 1, 1, 4, 1, 3, 4, 4, 0, 4, 4, 0, 1, 1, 4, 3, 0, 4, 4, 4, 4, 0, 0, 2, 1, 4, 1, 1, 4, 2, 0, 1, 1, 1, 4, 0, 0, 1, 0, 2, 2, 0, 4, 3, 4, 0, 0, 2, 2, 4, 0, 4, 4, 3, 1, 1, 3, 2, 4, 0, 3, 4, 3, 2, 2, 0, 1, 1, 4, 1, 1, 1, 1, 4, 4, 1, 1, 1, 2, 4, 0, 3, 1, 3, 1, 0, 4, 4, 0, 0, 0, 3, 2, 0, 2, 0, 3, 4, 3, 1, 4, 2, 3, 1, 3, 2, 2, 4, 4, 1, 1, 0, 4, 1, 3, 0, 2, 0, 2, 2, 1, 0, 4, 2, 1, 0, 0, 1, 0, 1, 3, 3, 1, 3, 0, 1, 2, 3, 4, 3, 4, 3, 1, 3, 4, 0, 4, 0, 4, 0, 2, 1, 4, 0, 0, 3, 1, 1, 4, 1, 1, 1, 2, 3, 0, 2, 2, 0, 0, 4, 3, 4, 1, 2, 4, 0, 3, 2, 2, 4, 1, 2, 2, 1, 0, 3, 3, 4, 1, 1, 0, 1, 1, 3, 1, 0, 4, 4, 1, 4, 2, 4, 3, 2, 3, 4, 0, 2, 3, 1, 0, 2, 0, 3, 3, 0, 3, 0, 4, 3, 0, 0, 3, 0, 3, 0, 0, 2, 3, 1, 4, 4, 0, 2, 0, 3, 1, 2, 2, 1, 3, 4, 0, 0, 3, 4, 3, 3, 1, 1, 4, 1, 3, 1, 1, 4, 3, 1, 3, 4, 4, 0, 0, 1, 4, 1, 3, 3, 0, 3, 4, 2, 1, 1, 0, 0, 0, 0, 0, 3, 0, 1]
pubkeycol704 = [1, 1, 3, 3, 1, 2, 2, 1, 2, 3, 3, 1, 2, 1, 0, 0, 0, 3, 0, 0, 3, 3, 0, 4, 0, 0, 1, 2, 4, 4, 0, 0, 2, 1, 3, 4, 1, 0, 4, 3, 2, 1, 1, 1, 4, 3, 3, 1, 3, 4, 2, 4, 3, 3, 4, 2, 1, 4, 4, 3, 2, 2, 0, 3, 3, 2, 3, 4, 3, 1, 3, 4, 3, 3, 4, 0, 3, 2, 0, 3, 2, 1, 4, 1, 0, 1, 3, 2, 4, 2, 3, 4, 4, 1, 4, 3, 3, 4, 1, 0, 1, 0, 2, 3, 1, 3, 0, 0, 1, 2, 0, 0, 2, 4, 2, 2, 4, 4, 1, 0, 0, 1, 0, 4, 1, 2, 0, 0, 0, 3, 3, 3, 2, 4, 2, 0, 3, 4, 3, 4, 2, 2, 4, 3, 4, 4, 2, 2, 1, 4, 4, 1, 4, 0, 1, 2, 1, 2, 2, 3, 2, 3, 0, 1, 3, 0, 4, 0, 3, 2, 4, 0, 1, 2, 2, 4, 0, 0, 3, 4, 2, 2, 1, 3, 2, 3, 3, 4, 0, 1, 4, 3, 0, 0, 4, 1, 3, 4, 0, 2, 2, 2, 1, 0, 2, 0, 0, 4, 0, 1, 4, 4, 0, 0, 2, 2, 1, 3, 1, 0, 0, 2, 4, 3, 4, 3, 1, 3, 0, 0, 3, 1, 3, 3, 1, 2, 2, 3, 3, 0, 3, 4, 1, 4, 4, 2, 2, 1, 0, 1, 1, 3, 2, 2, 2, 2, 1, 0, 0, 1, 4, 1, 2, 4, 0, 2, 0, 1, 3, 4, 4, 0, 2, 1, 2, 1, 4, 4, 2, 0, 3, 3, 2, 4, 4, 2, 3, 2, 1, 4, 0, 0, 0, 1, 0, 3, 2, 3, 0, 2, 0, 4, 1, 1, 2, 1, 4, 0, 2, 2, 2, 3, 1, 3, 4, 1, 2, 3, 4, 1, 0, 2, 2, 3, 1, 2, 1, 1, 4, 1, 1, 2, 1, 1, 1, 4, 2, 0, 1, 2, 4, 1, 4, 2, 3, 2, 4, 1, 1, 3, 4, 2, 4, 4, 3, 1, 1, 4, 0, 3, 2, 3, 3, 2, 3, 1, 4, 4, 1, 1, 3, 2, 0, 0, 3, 3, 0, 3, 2, 4, 1, 2, 3, 3, 4, 3, 3, 1, 1, 4, 2, 3, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 3, 3, 4, 2, 3, 0, 2, 0, 0, 2, 4, 4, 3, 2, 1, 3, 3, 4, 3, 2, 0, 3, 2, 4, 1, 1, 3, 1, 1, 3, 3, 3, 1, 3, 2, 3, 0, 4, 0, 0, 0, 4, 1, 0, 1, 2, 2, 2, 4, 1, 1, 0, 4, 0, 3, 1, 0, 4, 0, 4, 0, 0, 1, 4, 4, 3, 1, 0, 3, 3, 3, 0, 2, 3, 1, 4, 2, 2, 2, 0, 0, 2, 0, 1, 3, 4, 4, 0, 2, 0, 2, 1, 1, 1, 4, 0, 3, 3, 4, 1, 2, 1, 1]
pubkeycol705 = [3, 0, 0, 2, 4, 0, 4, 2, 2, 4, 3, 3, 1, 3, 0, 2, 1, 0, 1, 3, 3, 0, 0, 2, 3, 3, 0, 0, 3, 4, 1, 3, 2, 1, 2, 3, 2, 0, 4, 3, 2, 1, 1, 3, 4, 2, 4, 4, 4, 0, 3, 1, 3, 4, 4, 0, 0, 1, 0, 0, 2, 3, 4, 1, 1, 1, 0, 3, 2, 3, 3, 1, 2, 0, 3, 3, 4, 3, 1, 3, 2, 3, 1, 0, 1, 3, 2, 0, 0, 4, 4, 1, 1, 1, 1, 4, 0, 2, 1, 3, 2, 2, 2, 1, 3, 3, 4, 1, 3, 0, 0, 4, 4, 3, 4, 2, 1, 1, 3, 1, 4, 0, 3, 1, 2, 3, 3, 1, 0, 2, 2, 0, 1, 4, 1, 3, 2, 1, 1, 0, 3, 4, 3, 4, 4, 4, 2, 1, 1, 3, 2, 4, 1, 3, 3, 3, 4, 1, 1, 2, 0, 4, 0, 0, 2, 3, 2, 3, 0, 3, 2, 1, 0, 3, 3, 1, 0, 3, 1, 0, 2, 3, 0, 4, 3, 1, 3, 3, 0, 4, 2, 4, 3, 4, 0, 3, 0, 2, 4, 2, 2, 0, 0, 3, 0, 1, 3, 4, 2, 4, 3, 2, 1, 4, 2, 1, 2, 0, 2, 4, 0, 2, 1, 3, 1, 1, 2, 1, 0, 2, 3, 4, 1, 1, 2, 3, 1, 3, 3, 3, 2, 3, 2, 4, 2, 0, 0, 4, 4, 4, 0, 0, 3, 0, 2, 2, 3, 4, 0, 0, 0, 3, 2, 0, 4, 4, 0, 3, 0, 4, 2, 4, 3, 0, 4, 0, 1, 3, 1, 2, 2, 0, 3, 0, 2, 4, 3, 4, 3, 3, 1, 2, 3, 4, 3, 0, 3, 4, 3, 3, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 4, 1, 1, 3, 1, 2, 2, 1, 2, 2, 3, 2, 0, 2, 4, 0, 1, 1, 2, 2, 2, 1, 3, 2, 4, 4, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 4, 2, 4, 1, 4, 2, 4, 0, 4, 1, 2, 4, 3, 4, 0, 4, 1, 3, 2, 4, 4, 0, 3, 3, 0, 1, 3, 3, 0, 0, 0, 4, 3, 0, 1, 0, 1, 4, 2, 3, 1, 0, 3, 4, 4, 0, 3, 0, 2, 1, 2, 1, 2, 3, 4, 4, 1, 1, 1, 0, 0, 2, 1, 0, 3, 0, 4, 0, 2, 0, 2, 3, 1, 1, 4, 1, 4, 0, 2, 0, 2, 0, 0, 1, 2, 2, 3, 2, 0, 3, 4, 2, 3, 0, 0, 1, 0, 0, 1, 0, 3, 3, 1, 2, 3, 2, 3, 0, 1, 1, 4, 4, 0, 2, 1, 2, 0, 3, 3, 2, 1, 4, 2, 2, 0, 3, 4, 3, 4, 2, 3, 3, 2, 4, 2, 4, 2, 1, 4, 1, 4, 1, 2, 4, 0, 1, 3, 1, 4, 3, 3, 1, 4, 2, 1]
pubkeycol706 = [2, 3, 1, 1, 3, 0, 3, 3, 0, 0, 1, 0, 0, 4, 4, 4, 0, 1, 4, 0, 4, 0, 0, 2, 4, 0, 2, 4, 3, 0, 2, 3, 1, 4, 2, 0, 1, 4, 4, 4, 1, 2, 0, 1, 1, 4, 4, 4, 0, 3, 4, 1, 3, 1, 1, 3, 4, 1, 0, 3, 0, 2, 1, 4, 3, 4, 0, 4, 2, 4, 0, 4, 1, 3, 0, 2, 4, 3, 1, 0, 4, 4, 3, 3, 3, 2, 2, 2, 0, 0, 0, 1, 3, 4, 2, 3, 3, 2, 0, 2, 3, 2, 1, 1, 1, 2, 0, 1, 3, 3, 3, 1, 1, 4, 3, 2, 4, 3, 1, 1, 4, 2, 1, 3, 1, 3, 2, 2, 4, 1, 4, 0, 1, 1, 2, 4, 3, 4, 2, 2, 3, 3, 2, 0, 4, 1, 1, 4, 3, 2, 0, 2, 2, 0, 3, 1, 3, 3, 0, 0, 2, 2, 2, 3, 0, 0, 3, 1, 3, 4, 2, 2, 4, 3, 3, 2, 4, 3, 1, 3, 1, 3, 3, 3, 4, 2, 1, 2, 2, 4, 1, 4, 4, 1, 2, 4, 0, 4, 1, 1, 1, 0, 2, 4, 3, 2, 2, 1, 0, 4, 2, 4, 0, 2, 2, 3, 1, 1, 4, 1, 2, 3, 3, 4, 1, 1, 2, 1, 2, 4, 3, 3, 1, 3, 4, 4, 2, 1, 2, 2, 3, 3, 4, 1, 4, 0, 1, 0, 2, 3, 1, 1, 4, 4, 2, 4, 1, 2, 0, 1, 1, 2, 1, 4, 3, 3, 0, 4, 2, 2, 0, 3, 4, 1, 0, 0, 3, 3, 3, 3, 0, 1, 2, 2, 1, 4, 0, 0, 3, 0, 0, 1, 1, 4, 2, 3, 4, 4, 1, 3, 4, 2, 2, 2, 3, 2, 2, 2, 3, 1, 2, 4, 2, 1, 1, 0, 2, 2, 1, 4, 1, 0, 4, 0, 4, 4, 3, 1, 2, 1, 2, 2, 3, 4, 4, 4, 3, 3, 4, 1, 1, 2, 0, 3, 2, 0, 3, 3, 1, 1, 4, 0, 1, 1, 3, 1, 2, 4, 3, 1, 0, 3, 0, 4, 0, 0, 1, 1, 3, 4, 3, 0, 2, 3, 4, 2, 0, 1, 0, 2, 3, 0, 3, 4, 3, 4, 3, 2, 0, 0, 0, 0, 3, 0, 1, 4, 2, 2, 1, 2, 3, 1, 4, 3, 1, 0, 0, 0, 1, 4, 0, 1, 3, 4, 2, 4, 3, 4, 4, 2, 0, 0, 0, 2, 2, 4, 3, 1, 2, 0, 3, 4, 0, 0, 0, 2, 1, 0, 4, 4, 4, 4, 2, 3, 0, 1, 3, 4, 3, 4, 4, 0, 3, 0, 0, 1, 2, 1, 0, 0, 4, 1, 0, 1, 2, 2, 4, 4, 0, 3, 2, 1, 3, 2, 0, 0, 3, 3, 3, 2, 3, 4, 2, 4, 2, 4, 2, 4, 1, 0, 0, 3, 2, 3, 1, 4, 4, 4, 1, 4, 3, 4, 0, 4, 2]
pubkeycol707 = [4, 3, 0, 1, 1, 0, 2, 4, 2, 0, 0, 1, 1, 0, 4, 1, 0, 4, 4, 0, 4, 0, 0, 1, 4, 0, 1, 3, 3, 0, 1, 0, 1, 0, 0, 2, 1, 3, 1, 4, 2, 1, 0, 3, 2, 0, 3, 4, 3, 3, 2, 2, 0, 0, 0, 2, 2, 3, 1, 1, 0, 0, 1, 3, 1, 2, 0, 3, 3, 2, 0, 4, 3, 0, 4, 2, 2, 2, 1, 2, 0, 0, 1, 1, 4, 4, 4, 3, 0, 2, 3, 1, 1, 4, 0, 3, 3, 2, 2, 3, 2, 1, 3, 1, 1, 0, 4, 2, 0, 3, 2, 4, 0, 3, 2, 3, 2, 4, 1, 1, 3, 4, 0, 0, 1, 4, 1, 2, 4, 1, 1, 2, 3, 3, 3, 2, 3, 0, 1, 1, 0, 4, 2, 0, 3, 4, 2, 4, 4, 0, 3, 1, 0, 4, 1, 4, 0, 2, 0, 0, 3, 2, 2, 1, 4, 2, 1, 0, 0, 3, 2, 2, 2, 2, 4, 2, 0, 1, 4, 1, 4, 4, 3, 0, 1, 4, 1, 2, 0, 1, 4, 1, 0, 3, 0, 4, 1, 4, 1, 3, 0, 3, 0, 2, 3, 4, 2, 4, 0, 0, 2, 4, 4, 2, 2, 3, 1, 4, 4, 4, 1, 1, 3, 3, 1, 3, 0, 2, 3, 1, 3, 3, 1, 2, 1, 4, 1, 1, 3, 2, 4, 3, 0, 3, 0, 3, 1, 2, 0, 3, 3, 0, 1, 4, 3, 4, 1, 4, 2, 0, 2, 4, 3, 3, 0, 0, 4, 1, 3, 1, 0, 2, 4, 4, 2, 3, 0, 1, 4, 2, 1, 0, 3, 3, 4, 2, 3, 3, 4, 0, 0, 1, 4, 3, 0, 1, 1, 4, 4, 2, 2, 4, 4, 1, 4, 2, 2, 0, 4, 3, 3, 1, 3, 3, 2, 4, 0, 3, 2, 3, 3, 2, 4, 0, 0, 2, 2, 1, 4, 0, 0, 3, 0, 4, 1, 0, 1, 2, 1, 1, 0, 2, 3, 3, 0, 0, 0, 2, 4, 0, 1, 1, 3, 3, 3, 3, 3, 3, 1, 3, 1, 2, 1, 4, 1, 0, 0, 4, 1, 3, 0, 4, 3, 2, 3, 0, 3, 0, 0, 0, 1, 0, 3, 1, 0, 0, 1, 1, 0, 2, 4, 0, 4, 4, 4, 2, 4, 4, 2, 1, 4, 1, 1, 3, 4, 2, 2, 1, 4, 2, 3, 1, 2, 1, 3, 4, 1, 0, 1, 3, 1, 1, 3, 2, 1, 3, 0, 0, 1, 2, 3, 2, 4, 0, 1, 3, 4, 4, 0, 4, 3, 2, 2, 0, 4, 0, 1, 1, 1, 0, 4, 4, 0, 1, 3, 0, 3, 0, 4, 1, 1, 0, 4, 4, 3, 0, 0, 3, 4, 2, 1, 1, 0, 1, 3, 4, 3, 1, 2, 0, 1, 4, 4, 0, 1, 3, 4, 0, 3, 4, 4, 1, 2, 4, 2, 3, 3, 2, 0, 3, 2, 1, 4, 0, 3]
pubkeycol708 = [4, 0, 2, 1, 2, 0, 1, 3, 2, 4, 1, 0, 1, 1, 4, 3, 4, 4, 4, 0, 4, 4, 3, 1, 0, 2, 1, 2, 4, 4, 3, 0, 1, 1, 4, 1, 2, 1, 1, 2, 0, 1, 2, 0, 3, 2, 3, 2, 4, 3, 0, 0, 0, 1, 3, 4, 2, 4, 1, 4, 4, 4, 3, 2, 4, 1, 3, 4, 0, 2, 2, 0, 1, 1, 2, 3, 4, 4, 0, 2, 1, 0, 0, 2, 3, 0, 0, 2, 1, 4, 3, 0, 4, 4, 2, 4, 1, 4, 2, 2, 3, 2, 4, 3, 2, 0, 0, 3, 2, 2, 1, 4, 2, 1, 1, 4, 0, 1, 1, 0, 1, 2, 0, 2, 4, 0, 3, 3, 0, 0, 0, 2, 0, 0, 3, 3, 2, 2, 2, 0, 0, 4, 3, 1, 1, 2, 2, 0, 2, 1, 3, 2, 4, 2, 2, 0, 1, 2, 2, 2, 4, 3, 3, 4, 2, 0, 3, 0, 3, 2, 1, 2, 0, 3, 0, 2, 1, 0, 1, 1, 0, 1, 1, 4, 3, 3, 0, 1, 3, 3, 1, 3, 3, 3, 0, 2, 4, 1, 2, 2, 1, 4, 0, 1, 1, 0, 2, 4, 2, 0, 3, 2, 2, 0, 0, 1, 2, 1, 3, 1, 2, 2, 4, 3, 0, 2, 2, 4, 0, 0, 4, 3, 2, 3, 3, 4, 0, 2, 4, 3, 0, 3, 4, 3, 1, 0, 1, 0, 1, 2, 3, 1, 1, 2, 0, 3, 3, 2, 4, 4, 2, 2, 4, 1, 2, 2, 0, 3, 2, 3, 0, 2, 1, 4, 0, 1, 4, 0, 1, 3, 2, 4, 2, 4, 0, 3, 3, 4, 2, 0, 3, 1, 1, 4, 0, 4, 0, 2, 3, 4, 1, 4, 2, 2, 3, 2, 4, 0, 1, 1, 1, 2, 2, 4, 4, 2, 3, 1, 0, 2, 3, 0, 0, 0, 1, 3, 2, 4, 1, 0, 4, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 4, 0, 3, 1, 4, 1, 1, 0, 3, 2, 0, 4, 0, 4, 2, 2, 2, 3, 3, 3, 0, 1, 2, 4, 1, 0, 4, 1, 0, 2, 2, 1, 1, 3, 2, 1, 3, 4, 3, 2, 3, 2, 4, 2, 3, 3, 4, 3, 1, 3, 1, 2, 0, 2, 1, 2, 3, 1, 1, 4, 2, 3, 3, 4, 1, 2, 2, 0, 4, 4, 1, 0, 3, 2, 2, 4, 2, 0, 1, 3, 2, 3, 4, 4, 1, 4, 0, 4, 1, 1, 3, 0, 0, 4, 0, 3, 3, 1, 1, 1, 2, 0, 1, 1, 2, 3, 2, 3, 0, 0, 1, 0, 0, 4, 3, 1, 0, 1, 3, 2, 2, 0, 1, 0, 0, 2, 0, 3, 4, 0, 1, 3, 0, 1, 0, 0, 4, 0, 1, 0, 0, 1, 4, 1, 1, 1, 2, 3, 1, 4, 3, 2, 0, 4, 3, 2, 2, 4, 1, 4, 0, 1, 1]
pubkeycol709 = [1, 2, 4, 4, 0, 0, 3, 2, 3, 2, 2, 2, 0, 2, 4, 4, 1, 1, 0, 0, 0, 1, 4, 4, 4, 1, 0, 2, 2, 0, 1, 2, 1, 4, 4, 0, 3, 4, 1, 0, 1, 2, 3, 0, 4, 1, 4, 2, 1, 3, 4, 4, 1, 3, 0, 1, 4, 4, 1, 4, 4, 2, 4, 3, 1, 2, 2, 1, 4, 4, 0, 0, 1, 4, 2, 2, 3, 0, 1, 4, 3, 4, 1, 2, 1, 3, 2, 4, 3, 0, 4, 1, 2, 3, 2, 3, 2, 0, 2, 1, 2, 3, 0, 4, 3, 4, 3, 4, 4, 1, 0, 1, 3, 1, 3, 2, 2, 1, 1, 2, 0, 1, 4, 3, 3, 3, 1, 4, 2, 0, 3, 1, 1, 4, 1, 0, 4, 1, 0, 3, 2, 0, 1, 3, 2, 3, 1, 2, 0, 4, 4, 3, 2, 0, 3, 4, 0, 2, 1, 4, 0, 0, 3, 2, 2, 4, 1, 3, 0, 1, 3, 0, 2, 3, 2, 3, 4, 1, 0, 0, 4, 3, 1, 4, 3, 2, 3, 4, 3, 2, 4, 0, 0, 4, 3, 0, 3, 4, 1, 4, 1, 0, 1, 2, 1, 2, 0, 1, 2, 4, 3, 0, 4, 1, 0, 2, 0, 1, 4, 1, 4, 1, 3, 3, 3, 0, 3, 2, 4, 4, 4, 4, 2, 2, 4, 0, 4, 1, 4, 1, 2, 3, 1, 4, 0, 3, 2, 2, 3, 0, 2, 1, 0, 3, 0, 1, 3, 3, 3, 1, 2, 0, 0, 3, 3, 2, 0, 0, 0, 4, 4, 2, 4, 1, 2, 0, 0, 1, 4, 3, 0, 0, 1, 4, 0, 2, 0, 0, 1, 3, 2, 0, 4, 1, 1, 4, 3, 3, 2, 0, 3, 4, 4, 3, 2, 0, 4, 2, 2, 4, 0, 1, 3, 3, 0, 2, 4, 2, 1, 1, 4, 1, 3, 0, 0, 3, 3, 4, 4, 1, 4, 4, 3, 4, 4, 0, 4, 0, 1, 2, 0, 4, 1, 1, 2, 1, 0, 2, 1, 0, 2, 3, 4, 0, 2, 4, 2, 0, 3, 4, 0, 2, 3, 3, 1, 0, 1, 2, 2, 1, 1, 1, 3, 4, 1, 3, 2, 2, 4, 3, 4, 2, 2, 4, 3, 4, 4, 4, 0, 0, 3, 1, 3, 3, 3, 1, 3, 2, 3, 3, 2, 1, 0, 4, 1, 1, 0, 3, 3, 4, 3, 3, 4, 0, 3, 1, 0, 3, 2, 4, 0, 1, 0, 4, 3, 3, 2, 3, 3, 3, 2, 2, 1, 3, 0, 0, 1, 2, 3, 1, 1, 3, 2, 2, 3, 1, 2, 4, 2, 0, 1, 4, 2, 2, 4, 3, 4, 4, 3, 2, 1, 1, 1, 1, 2, 3, 2, 3, 2, 1, 2, 0, 1, 3, 0, 0, 4, 0, 1, 0, 0, 1, 4, 4, 0, 1, 0, 3, 2, 2, 3, 1, 3, 0, 3, 0, 1, 0, 0, 0, 0, 4, 1, 4, 0]
pubkeycol710 = [0, 0, 0, 2, 3, 2, 1, 0, 0, 4, 1, 3, 3, 1, 4, 3, 2, 3, 2, 4, 0, 3, 4, 3, 1, 4, 3, 1, 4, 1, 0, 1, 2, 2, 4, 2, 3, 3, 1, 0, 4, 3, 1, 2, 3, 0, 0, 3, 4, 3, 1, 4, 2, 4, 1, 0, 1, 1, 0, 3, 3, 4, 4, 1, 2, 4, 2, 0, 2, 4, 3, 0, 0, 3, 2, 2, 4, 2, 4, 0, 2, 2, 2, 2, 2, 3, 3, 1, 3, 0, 1, 3, 4, 1, 3, 0, 0, 1, 2, 4, 4, 3, 0, 3, 2, 1, 0, 1, 4, 4, 2, 0, 3, 1, 1, 0, 1, 2, 0, 3, 2, 2, 1, 4, 4, 4, 3, 1, 2, 2, 1, 1, 3, 1, 2, 0, 4, 2, 2, 1, 2, 3, 0, 2, 0, 0, 3, 1, 4, 2, 0, 4, 2, 0, 4, 0, 2, 1, 1, 4, 2, 4, 1, 2, 4, 2, 4, 3, 0, 1, 1, 0, 3, 0, 2, 3, 4, 2, 0, 0, 0, 2, 0, 2, 1, 2, 4, 0, 1, 4, 4, 2, 4, 1, 0, 2, 3, 3, 4, 2, 1, 4, 2, 0, 0, 2, 1, 0, 4, 2, 3, 0, 0, 0, 2, 0, 4, 2, 1, 0, 0, 0, 4, 4, 2, 4, 3, 4, 2, 2, 4, 3, 4, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 4, 2, 0, 4, 3, 4, 0, 4, 3, 2, 4, 2, 4, 3, 2, 0, 0, 2, 1, 1, 4, 2, 4, 4, 1, 1, 0, 2, 0, 2, 1, 4, 2, 3, 0, 3, 1, 3, 4, 0, 1, 4, 2, 2, 2, 4, 2, 3, 1, 3, 0, 0, 4, 0, 0, 3, 2, 4, 2, 3, 2, 4, 2, 4, 0, 1, 1, 0, 1, 4, 2, 2, 3, 1, 0, 4, 0, 4, 1, 3, 2, 2, 2, 0, 1, 3, 3, 3, 4, 1, 2, 1, 2, 3, 3, 4, 2, 3, 2, 4, 4, 2, 4, 1, 4, 0, 0, 0, 4, 0, 2, 2, 4, 3, 4, 0, 4, 3, 2, 0, 0, 3, 1, 0, 2, 0, 3, 2, 4, 2, 4, 2, 4, 1, 3, 2, 3, 2, 2, 4, 1, 0, 3, 3, 3, 2, 0, 4, 0, 4, 2, 3, 0, 1, 4, 0, 2, 4, 3, 3, 3, 0, 3, 2, 0, 4, 1, 1, 3, 1, 1, 4, 2, 0, 0, 2, 2, 3, 3, 3, 2, 1, 2, 4, 4, 1, 0, 1, 4, 3, 0, 3, 4, 0, 3, 0, 1, 4, 1, 3, 3, 1, 2, 1, 4, 3, 0, 3, 1, 4, 2, 0, 4, 1, 0, 2, 0, 2, 3, 0, 0, 3, 1, 2, 4, 0, 3, 4, 4, 2, 3, 4, 4, 0, 2, 1, 4, 1, 1, 2, 3, 1, 2, 4, 4, 4, 4, 0, 1, 1, 2, 2, 2, 0, 3, 1, 4, 2, 0, 1, 3]
pubkeycol711 = [2, 0, 3, 0, 1, 2, 2, 2, 0, 0, 0, 4, 2, 1, 3, 3, 3, 3, 2, 3, 2, 1, 2, 4, 1, 2, 4, 2, 0, 3, 0, 0, 2, 0, 3, 3, 4, 2, 1, 0, 3, 4, 0, 0, 0, 3, 3, 2, 0, 1, 0, 1, 3, 3, 0, 0, 2, 4, 1, 3, 0, 4, 1, 4, 4, 2, 2, 4, 4, 3, 0, 4, 1, 4, 1, 3, 3, 1, 4, 0, 2, 0, 0, 1, 2, 4, 0, 0, 1, 3, 3, 4, 0, 3, 4, 1, 3, 4, 1, 3, 0, 3, 1, 4, 1, 2, 1, 0, 0, 4, 4, 4, 1, 3, 0, 1, 3, 3, 3, 0, 0, 3, 2, 4, 3, 3, 3, 2, 3, 0, 2, 4, 4, 2, 3, 2, 2, 3, 3, 0, 2, 0, 1, 1, 3, 4, 0, 4, 0, 0, 1, 3, 0, 3, 0, 0, 1, 3, 2, 3, 0, 0, 3, 0, 4, 2, 2, 0, 2, 3, 4, 3, 2, 1, 0, 2, 1, 1, 1, 0, 2, 3, 1, 4, 2, 3, 4, 2, 0, 1, 4, 0, 3, 4, 4, 4, 0, 3, 2, 0, 0, 0, 3, 3, 4, 3, 1, 0, 3, 2, 1, 3, 0, 4, 3, 0, 1, 0, 4, 0, 4, 1, 2, 4, 1, 4, 2, 3, 2, 4, 3, 1, 4, 3, 0, 2, 2, 3, 4, 3, 2, 3, 0, 0, 1, 3, 4, 2, 1, 0, 0, 1, 2, 2, 3, 3, 4, 4, 1, 1, 1, 3, 1, 0, 4, 2, 1, 4, 0, 1, 0, 1, 2, 2, 2, 3, 1, 2, 2, 4, 0, 3, 0, 1, 4, 1, 4, 4, 0, 1, 2, 3, 1, 4, 0, 2, 1, 0, 3, 1, 0, 2, 3, 2, 4, 0, 2, 4, 4, 3, 3, 1, 1, 1, 4, 2, 2, 0, 3, 4, 4, 4, 4, 1, 2, 3, 3, 3, 0, 1, 3, 1, 1, 3, 3, 4, 2, 1, 1, 3, 0, 1, 0, 2, 4, 0, 4, 0, 4, 4, 3, 3, 0, 2, 2, 4, 3, 2, 0, 1, 4, 0, 0, 4, 1, 4, 0, 2, 4, 0, 3, 2, 1, 0, 2, 3, 2, 0, 0, 2, 1, 3, 4, 2, 2, 4, 1, 1, 4, 1, 3, 4, 3, 4, 4, 2, 0, 3, 4, 3, 1, 2, 1, 2, 4, 1, 4, 1, 3, 2, 3, 1, 0, 2, 3, 0, 0, 1, 4, 1, 0, 3, 1, 0, 3, 2, 3, 4, 3, 2, 4, 0, 3, 2, 2, 3, 4, 2, 3, 1, 4, 2, 0, 1, 1, 2, 2, 2, 4, 1, 1, 1, 2, 3, 4, 1, 2, 0, 2, 2, 4, 4, 3, 4, 0, 2, 0, 4, 0, 3, 2, 3, 4, 2, 2, 2, 2, 4, 3, 0, 4, 0, 4, 3, 0, 1, 1, 3, 1, 3, 3, 4, 0, 1, 2, 4, 2, 3, 1, 3, 1, 2, 4, 1, 2]
pubkeycol712 = [3, 1, 2, 1, 4, 1, 4, 1, 4, 2, 4, 1, 3, 4, 4, 4, 3, 3, 2, 3, 4, 4, 3, 2, 0, 2, 0, 1, 1, 3, 0, 0, 1, 3, 1, 1, 3, 4, 1, 3, 1, 3, 2, 0, 3, 2, 3, 4, 0, 4, 2, 0, 1, 1, 3, 0, 2, 1, 4, 4, 4, 3, 0, 3, 2, 0, 2, 2, 3, 1, 0, 1, 2, 3, 3, 0, 0, 2, 4, 2, 4, 1, 2, 3, 4, 3, 3, 3, 0, 2, 4, 4, 3, 2, 0, 2, 4, 1, 1, 0, 1, 1, 2, 2, 1, 3, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 4, 3, 2, 1, 3, 4, 4, 2, 0, 4, 0, 0, 4, 2, 3, 0, 3, 2, 4, 4, 0, 2, 1, 0, 2, 1, 1, 2, 0, 3, 2, 3, 0, 1, 0, 4, 1, 2, 1, 2, 4, 0, 1, 3, 4, 4, 1, 3, 2, 3, 1, 1, 2, 4, 2, 4, 2, 3, 3, 4, 1, 1, 3, 0, 3, 4, 3, 3, 1, 2, 2, 4, 3, 2, 3, 4, 0, 2, 3, 0, 4, 1, 3, 0, 4, 0, 4, 3, 4, 2, 0, 1, 4, 4, 0, 1, 0, 1, 0, 2, 2, 0, 4, 4, 3, 3, 3, 0, 3, 0, 3, 1, 2, 1, 4, 1, 1, 0, 4, 1, 1, 3, 2, 1, 1, 2, 1, 4, 4, 3, 3, 4, 1, 4, 3, 4, 1, 0, 1, 1, 0, 0, 2, 2, 4, 2, 3, 0, 2, 2, 1, 3, 1, 0, 4, 2, 1, 2, 4, 4, 0, 3, 4, 2, 1, 0, 3, 3, 4, 3, 3, 4, 4, 2, 2, 3, 2, 3, 0, 4, 1, 4, 4, 3, 4, 4, 0, 0, 2, 0, 0, 4, 2, 4, 0, 4, 2, 4, 0, 3, 0, 4, 2, 3, 4, 3, 0, 1, 4, 2, 3, 2, 3, 2, 3, 2, 4, 0, 4, 4, 0, 2, 3, 1, 3, 4, 2, 1, 4, 0, 0, 2, 3, 0, 3, 2, 2, 4, 2, 1, 1, 4, 3, 1, 1, 3, 1, 3, 1, 3, 3, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 3, 4, 4, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 4, 3, 1, 3, 4, 0, 3, 0, 4, 4, 1, 4, 1, 2, 3, 1, 1, 0, 0, 4, 4, 2, 4, 1, 4, 3, 0, 3, 0, 1, 1, 1, 4, 2, 0, 3, 3, 3, 4, 3, 2, 3, 0, 3, 4, 4, 3, 2, 2, 4, 4, 2, 2, 3, 3, 1, 4, 4, 4, 0, 2, 0, 3, 0, 2, 4, 0, 3, 4, 2, 3, 3, 1, 1, 1, 3, 0, 4, 1, 1, 3, 4, 3, 3, 4, 2, 3, 2, 3, 3, 1, 0, 4, 1, 2, 1, 2, 4, 1, 2, 4, 3, 1, 1, 1, 1, 4, 1, 4, 1, 2, 2]
pubkeycol713 = [3, 3, 4, 4, 4, 2, 3, 3, 0, 3, 1, 3, 0, 1, 3, 0, 3, 2, 0, 1, 3, 4, 3, 1, 0, 2, 2, 1, 4, 0, 3, 4, 1, 2, 1, 1, 2, 3, 4, 1, 4, 1, 2, 4, 2, 1, 4, 3, 2, 4, 2, 1, 0, 4, 0, 1, 4, 2, 4, 4, 3, 1, 4, 1, 4, 1, 2, 4, 2, 4, 0, 1, 3, 0, 3, 1, 4, 2, 2, 2, 1, 3, 3, 0, 1, 4, 0, 3, 1, 2, 2, 4, 2, 4, 0, 3, 4, 0, 1, 3, 3, 3, 2, 0, 0, 1, 2, 2, 0, 0, 1, 3, 2, 3, 4, 2, 4, 2, 4, 0, 2, 4, 3, 2, 3, 2, 1, 0, 1, 4, 0, 4, 4, 1, 0, 3, 0, 1, 3, 4, 2, 2, 0, 1, 2, 0, 4, 3, 0, 3, 4, 0, 3, 2, 4, 0, 1, 1, 0, 4, 1, 1, 1, 3, 2, 2, 2, 3, 0, 4, 0, 3, 3, 0, 0, 4, 2, 0, 2, 3, 0, 4, 2, 1, 2, 4, 3, 1, 3, 1, 4, 2, 2, 0, 1, 4, 0, 0, 0, 0, 1, 4, 2, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 2, 4, 1, 0, 2, 1, 1, 3, 0, 0, 2, 3, 1, 4, 1, 0, 2, 3, 1, 1, 0, 1, 3, 2, 2, 0, 4, 0, 1, 0, 1, 1, 3, 3, 4, 3, 3, 4, 0, 2, 4, 2, 1, 4, 3, 0, 0, 4, 4, 0, 0, 1, 1, 0, 2, 3, 0, 3, 2, 1, 0, 0, 4, 2, 2, 4, 3, 2, 4, 1, 0, 2, 2, 1, 3, 2, 2, 4, 4, 1, 1, 4, 2, 2, 4, 0, 3, 1, 4, 1, 3, 4, 0, 2, 0, 4, 4, 1, 1, 1, 4, 2, 4, 3, 3, 1, 2, 4, 0, 0, 4, 4, 2, 0, 2, 3, 3, 0, 4, 3, 4, 1, 0, 2, 0, 3, 2, 1, 0, 3, 3, 3, 3, 1, 1, 0, 2, 2, 2, 2, 4, 4, 3, 1, 2, 1, 4, 3, 1, 1, 3, 3, 2, 4, 4, 1, 3, 4, 3, 1, 0, 4, 2, 3, 0, 2, 1, 4, 0, 3, 0, 4, 1, 2, 0, 3, 1, 3, 4, 2, 4, 2, 1, 4, 3, 3, 0, 3, 3, 4, 2, 3, 2, 4, 2, 2, 1, 1, 1, 0, 3, 2, 4, 0, 0, 0, 4, 3, 0, 1, 1, 3, 1, 1, 0, 0, 3, 1, 0, 2, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 1, 2, 1, 3, 4, 0, 2, 0, 1, 3, 3, 2, 3, 1, 3, 0, 0, 3, 2, 3, 0, 3, 2, 3, 1, 3, 3, 3, 1, 0, 4, 0, 1, 4, 4, 3, 4, 4, 3, 0, 1, 4, 3, 1, 3, 2, 2, 0, 2, 0, 2, 2, 0, 0, 4, 2, 2, 3, 0, 3, 1, 4]
pubkeycol714 = [2, 1, 1, 3, 4, 4, 3, 1, 3, 2, 4, 4, 4, 3, 2, 3, 2, 1, 1, 4, 2, 0, 3, 2, 1, 3, 2, 2, 0, 2, 0, 1, 0, 3, 4, 0, 1, 0, 3, 1, 0, 0, 4, 2, 2, 3, 4, 0, 4, 0, 4, 0, 0, 4, 2, 2, 2, 3, 1, 0, 0, 1, 2, 0, 1, 4, 1, 4, 0, 0, 2, 0, 3, 4, 4, 0, 0, 3, 3, 2, 2, 4, 4, 0, 4, 1, 4, 4, 3, 0, 0, 2, 4, 2, 2, 3, 4, 2, 4, 0, 2, 2, 1, 2, 4, 0, 0, 1, 1, 4, 0, 0, 4, 0, 2, 4, 2, 3, 0, 0, 4, 0, 3, 1, 1, 0, 1, 0, 4, 3, 3, 0, 1, 4, 0, 4, 3, 2, 3, 0, 0, 1, 2, 1, 3, 3, 1, 4, 4, 4, 3, 1, 4, 2, 0, 0, 3, 3, 2, 0, 0, 1, 3, 1, 1, 3, 2, 0, 3, 4, 3, 4, 0, 0, 4, 4, 2, 0, 1, 4, 3, 0, 0, 3, 1, 4, 0, 0, 1, 2, 4, 1, 1, 3, 0, 2, 0, 3, 1, 1, 0, 4, 1, 0, 4, 4, 1, 1, 2, 0, 1, 0, 1, 3, 2, 0, 0, 0, 1, 2, 3, 2, 0, 2, 3, 1, 0, 0, 2, 3, 1, 4, 2, 3, 1, 4, 0, 0, 3, 4, 2, 2, 2, 3, 4, 0, 1, 0, 0, 0, 0, 3, 0, 1, 2, 3, 3, 0, 1, 2, 3, 1, 1, 3, 4, 0, 4, 4, 4, 1, 4, 3, 0, 4, 1, 2, 1, 4, 2, 1, 3, 4, 2, 4, 4, 1, 4, 1, 2, 3, 2, 3, 2, 0, 3, 0, 2, 1, 0, 4, 3, 2, 4, 0, 4, 0, 1, 0, 0, 4, 0, 3, 2, 3, 4, 0, 4, 4, 4, 0, 4, 3, 1, 1, 3, 0, 2, 4, 3, 3, 1, 1, 1, 1, 3, 3, 4, 0, 3, 4, 1, 2, 3, 3, 1, 1, 4, 0, 4, 1, 3, 3, 1, 3, 1, 1, 4, 2, 0, 1, 3, 2, 3, 3, 2, 4, 1, 2, 2, 1, 2, 1, 3, 2, 4, 3, 3, 0, 3, 1, 0, 1, 3, 4, 0, 0, 4, 1, 0, 4, 4, 3, 2, 0, 0, 4, 3, 2, 1, 4, 0, 1, 3, 0, 3, 2, 2, 4, 1, 1, 0, 3, 1, 0, 4, 3, 3, 4, 3, 1, 3, 0, 4, 3, 2, 0, 1, 2, 3, 3, 1, 1, 0, 4, 0, 3, 1, 4, 2, 1, 2, 0, 4, 4, 2, 2, 4, 3, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 3, 2, 1, 0, 3, 2, 4, 0, 2, 4, 1, 1, 4, 1, 0, 1, 0, 0, 0, 0, 4, 1, 1, 0, 1, 3, 0, 4, 2, 0, 4, 0, 1, 1, 4, 2, 4, 3, 2, 3, 4, 1, 1, 3, 4, 2]
pubkeycol715 = [4, 1, 3, 2, 2, 3, 0, 2, 4, 4, 4, 3, 3, 4, 1, 1, 3, 0, 3, 0, 0, 4, 0, 0, 0, 4, 1, 2, 2, 3, 4, 3, 2, 2, 1, 0, 2, 1, 1, 3, 3, 4, 0, 3, 3, 1, 0, 1, 1, 1, 4, 1, 1, 3, 0, 3, 4, 3, 4, 1, 4, 0, 1, 3, 4, 1, 1, 4, 1, 3, 1, 2, 0, 4, 4, 3, 3, 0, 2, 0, 1, 0, 4, 3, 3, 4, 0, 1, 2, 3, 3, 3, 4, 4, 2, 1, 3, 3, 4, 3, 0, 1, 0, 3, 2, 3, 4, 0, 0, 2, 3, 1, 4, 4, 2, 0, 0, 3, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 3, 0, 2, 2, 2, 1, 4, 1, 2, 0, 1, 3, 0, 1, 1, 4, 3, 0, 3, 2, 4, 0, 0, 2, 2, 3, 2, 3, 4, 1, 2, 1, 2, 2, 0, 0, 2, 2, 4, 1, 0, 1, 3, 2, 4, 1, 2, 4, 3, 2, 4, 3, 2, 0, 0, 4, 3, 3, 4, 1, 4, 3, 1, 4, 2, 4, 3, 0, 0, 1, 2, 2, 1, 2, 3, 1, 1, 2, 1, 2, 1, 1, 4, 4, 2, 3, 4, 2, 4, 2, 3, 0, 0, 1, 2, 0, 2, 2, 1, 3, 1, 3, 0, 3, 0, 2, 2, 1, 4, 0, 1, 3, 2, 2, 0, 0, 1, 1, 0, 4, 0, 3, 0, 0, 4, 1, 1, 3, 2, 1, 4, 4, 0, 1, 1, 0, 3, 2, 1, 2, 2, 3, 2, 0, 4, 0, 4, 4, 4, 2, 1, 3, 0, 1, 1, 2, 2, 4, 0, 3, 2, 3, 3, 0, 2, 2, 4, 2, 3, 2, 1, 2, 1, 3, 3, 1, 2, 2, 4, 0, 0, 1, 3, 3, 0, 4, 3, 3, 4, 2, 2, 1, 2, 3, 2, 4, 0, 2, 2, 0, 4, 3, 4, 4, 0, 1, 0, 1, 1, 0, 1, 3, 1, 0, 2, 4, 1, 2, 4, 3, 2, 0, 0, 4, 0, 2, 3, 3, 1, 3, 0, 4, 4, 4, 1, 0, 1, 4, 4, 2, 3, 1, 1, 3, 1, 3, 0, 2, 1, 1, 1, 3, 3, 1, 0, 3, 3, 3, 4, 1, 2, 1, 1, 4, 1, 2, 0, 1, 0, 2, 4, 3, 2, 0, 1, 1, 4, 3, 0, 1, 1, 0, 4, 2, 0, 4, 1, 3, 3, 4, 1, 1, 0, 1, 0, 4, 3, 0, 1, 1, 3, 3, 0, 1, 0, 4, 1, 3, 2, 3, 0, 3, 4, 3, 2, 1, 4, 2, 1, 2, 3, 3, 1, 3, 0, 1, 1, 0, 0, 2, 3, 1, 1, 3, 4, 3, 1, 4, 0, 3, 0, 3, 1, 1, 3, 4, 0, 4, 3, 4, 0, 1, 3, 0, 0, 1, 2, 2, 0, 3, 1, 2, 4, 0, 2, 0, 0, 4, 3, 2, 3, 3, 2, 3, 4, 3, 3]
pubkeycol716 = [4, 2, 1, 3, 4, 0, 2, 3, 1, 2, 3, 1, 2, 1, 2, 3, 4, 4, 4, 4, 3, 4, 4, 1, 3, 2, 4, 3, 2, 3, 0, 3, 4, 3, 4, 2, 0, 1, 4, 1, 2, 0, 4, 1, 3, 2, 0, 2, 2, 0, 2, 3, 4, 4, 2, 4, 2, 1, 4, 4, 1, 1, 4, 1, 3, 1, 2, 2, 0, 0, 1, 3, 3, 3, 4, 2, 1, 4, 3, 4, 1, 1, 2, 3, 3, 4, 4, 4, 1, 3, 4, 3, 4, 4, 1, 1, 3, 3, 3, 0, 3, 0, 4, 3, 1, 2, 1, 0, 0, 0, 1, 0, 4, 0, 4, 1, 2, 1, 3, 3, 3, 2, 4, 3, 1, 3, 4, 2, 3, 1, 0, 2, 2, 0, 0, 4, 2, 0, 3, 1, 1, 3, 3, 2, 0, 2, 4, 2, 4, 4, 2, 2, 2, 1, 3, 2, 2, 3, 2, 0, 3, 3, 1, 1, 0, 0, 4, 0, 0, 1, 2, 1, 0, 4, 0, 3, 2, 3, 4, 1, 0, 2, 3, 0, 1, 2, 0, 1, 1, 0, 2, 3, 4, 0, 4, 1, 0, 4, 0, 1, 0, 2, 4, 1, 0, 4, 1, 4, 1, 1, 1, 2, 3, 0, 1, 4, 0, 4, 2, 0, 4, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 3, 3, 4, 3, 1, 4, 1, 2, 1, 0, 4, 4, 0, 1, 4, 1, 1, 3, 2, 1, 3, 3, 3, 1, 2, 0, 4, 3, 0, 1, 2, 3, 4, 0, 2, 3, 2, 3, 4, 2, 4, 0, 1, 4, 1, 3, 1, 0, 4, 1, 2, 4, 0, 4, 4, 0, 1, 1, 0, 3, 0, 4, 0, 1, 3, 2, 3, 0, 0, 1, 1, 2, 3, 2, 4, 3, 0, 3, 0, 3, 1, 1, 4, 0, 4, 2, 0, 3, 3, 2, 3, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 4, 3, 2, 0, 4, 4, 1, 3, 4, 2, 3, 4, 1, 4, 3, 4, 4, 2, 3, 0, 3, 3, 3, 3, 4, 1, 0, 3, 4, 4, 2, 1, 1, 2, 1, 1, 1, 0, 0, 3, 2, 1, 4, 1, 1, 1, 3, 2, 4, 1, 4, 4, 2, 1, 4, 1, 3, 0, 4, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 2, 2, 1, 2, 3, 3, 0, 4, 1, 0, 4, 0, 4, 4, 1, 1, 1, 4, 3, 1, 1, 2, 4, 1, 0, 3, 3, 3, 2, 3, 3, 3, 0, 3, 3, 0, 3, 0, 1, 1, 1, 3, 4, 4, 4, 4, 2, 4, 1, 1, 2, 0, 1, 2, 2, 3, 2, 1, 1, 3, 0, 0, 4, 4, 2, 3, 1, 1, 2, 1, 3, 1, 1, 0, 1, 1, 0, 2, 2, 0, 3, 2, 0, 0, 3, 3, 4, 0, 4, 1, 3, 1, 2, 2, 0, 3, 4]
pubkeycol717 = [4, 2, 3, 1, 3, 0, 0, 1, 2, 1, 2, 4, 3, 1, 1, 0, 2, 0, 0, 3, 4, 2, 3, 3, 0, 1, 2, 4, 1, 3, 2, 0, 0, 2, 1, 4, 1, 1, 4, 4, 4, 2, 2, 3, 0, 2, 1, 1, 4, 1, 4, 3, 4, 0, 0, 0, 2, 4, 2, 4, 0, 3, 1, 4, 1, 4, 3, 0, 2, 2, 4, 0, 2, 0, 0, 2, 4, 2, 4, 0, 1, 0, 1, 4, 0, 0, 1, 4, 1, 3, 2, 3, 2, 1, 2, 4, 0, 3, 1, 3, 3, 4, 2, 3, 1, 4, 1, 1, 0, 2, 4, 1, 2, 1, 3, 0, 1, 4, 4, 0, 2, 4, 0, 3, 1, 0, 2, 2, 4, 2, 0, 2, 3, 3, 3, 3, 0, 3, 4, 4, 2, 0, 3, 2, 2, 4, 3, 0, 3, 0, 4, 1, 3, 0, 0, 3, 1, 0, 1, 2, 2, 4, 3, 0, 2, 2, 3, 3, 2, 4, 1, 1, 1, 1, 0, 0, 1, 3, 4, 3, 4, 4, 4, 0, 1, 0, 1, 1, 0, 0, 3, 1, 0, 3, 0, 2, 0, 2, 4, 4, 2, 1, 2, 2, 1, 2, 3, 0, 0, 1, 1, 3, 0, 1, 1, 1, 4, 4, 1, 2, 2, 4, 0, 2, 1, 3, 4, 2, 4, 3, 4, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 4, 3, 1, 0, 2, 1, 4, 4, 2, 4, 4, 2, 0, 1, 1, 2, 4, 3, 4, 2, 3, 1, 3, 3, 3, 4, 0, 2, 2, 0, 2, 3, 3, 2, 2, 2, 2, 4, 4, 3, 0, 4, 0, 2, 1, 0, 1, 4, 1, 4, 2, 2, 0, 4, 4, 1, 2, 3, 1, 2, 1, 1, 3, 3, 2, 4, 4, 4, 1, 1, 4, 0, 4, 3, 2, 0, 1, 3, 1, 4, 4, 0, 4, 1, 1, 2, 1, 1, 3, 0, 3, 1, 1, 2, 2, 1, 4, 4, 4, 2, 3, 1, 1, 4, 2, 1, 3, 2, 1, 1, 0, 2, 3, 4, 0, 0, 0, 2, 3, 2, 1, 2, 3, 4, 1, 1, 4, 3, 2, 4, 4, 2, 3, 3, 3, 2, 4, 2, 3, 4, 1, 4, 0, 2, 1, 4, 3, 2, 0, 3, 0, 0, 3, 2, 0, 0, 4, 3, 2, 2, 3, 4, 2, 2, 1, 3, 3, 4, 4, 1, 0, 4, 3, 3, 2, 4, 4, 2, 2, 0, 2, 1, 1, 2, 3, 2, 4, 3, 1, 2, 1, 0, 1, 4, 0, 3, 0, 0, 1, 0, 4, 2, 3, 0, 0, 4, 2, 4, 0, 0, 3, 4, 0, 3, 4, 0, 0, 1, 3, 1, 3, 1, 2, 0, 0, 0, 3, 3, 1, 2, 0, 1, 1, 3, 3, 3, 1, 3, 3, 2, 2, 0, 4, 4, 3, 0, 3, 1, 4, 2, 4, 0, 3, 0, 4, 3, 1, 1, 4, 3, 4, 3, 4, 3]
pubkeycol718 = [3, 2, 4, 3, 0, 0, 1, 1, 3, 2, 0, 2, 4, 2, 0, 4, 1, 2, 3, 3, 0, 3, 3, 0, 0, 1, 3, 4, 0, 1, 1, 4, 4, 4, 1, 0, 4, 2, 3, 4, 4, 0, 1, 1, 1, 4, 2, 3, 4, 2, 2, 3, 4, 0, 3, 0, 2, 2, 1, 1, 4, 4, 2, 1, 2, 3, 0, 2, 2, 2, 4, 3, 4, 3, 1, 4, 4, 0, 1, 1, 3, 0, 3, 3, 1, 3, 0, 2, 0, 1, 2, 3, 0, 1, 4, 0, 1, 2, 4, 0, 4, 4, 1, 3, 2, 2, 0, 1, 4, 1, 3, 3, 2, 0, 1, 2, 0, 4, 1, 4, 0, 2, 1, 2, 1, 1, 2, 2, 3, 1, 2, 4, 0, 2, 0, 0, 0, 3, 0, 3, 2, 3, 4, 0, 3, 2, 3, 1, 0, 2, 2, 4, 0, 0, 0, 2, 1, 2, 0, 4, 0, 2, 1, 2, 2, 1, 4, 2, 4, 0, 2, 4, 2, 2, 4, 0, 3, 1, 4, 1, 0, 0, 1, 2, 4, 4, 0, 2, 2, 3, 1, 2, 2, 1, 4, 1, 1, 0, 4, 2, 1, 3, 4, 1, 1, 0, 4, 2, 2, 2, 0, 0, 0, 3, 4, 2, 4, 4, 2, 1, 4, 4, 1, 2, 3, 2, 2, 3, 2, 0, 2, 4, 4, 2, 0, 0, 3, 4, 1, 2, 3, 0, 1, 4, 3, 0, 4, 3, 0, 2, 1, 4, 3, 2, 0, 4, 3, 4, 2, 0, 2, 4, 3, 4, 4, 4, 3, 0, 2, 0, 3, 4, 1, 1, 1, 2, 1, 3, 1, 0, 3, 2, 0, 2, 0, 1, 2, 4, 1, 3, 0, 1, 1, 0, 4, 2, 4, 2, 3, 4, 1, 4, 4, 4, 4, 1, 2, 1, 2, 2, 1, 3, 3, 1, 3, 0, 3, 0, 3, 2, 0, 3, 4, 1, 2, 3, 3, 1, 0, 1, 0, 2, 0, 4, 1, 2, 4, 0, 2, 3, 2, 1, 3, 0, 4, 1, 4, 0, 2, 2, 2, 3, 4, 1, 3, 2, 0, 2, 0, 3, 0, 4, 1, 2, 3, 1, 0, 3, 1, 4, 2, 0, 0, 1, 3, 0, 0, 2, 3, 4, 4, 2, 0, 0, 3, 1, 2, 3, 3, 0, 2, 4, 0, 3, 4, 4, 3, 3, 2, 4, 0, 2, 4, 2, 0, 1, 0, 4, 1, 3, 4, 2, 2, 2, 0, 2, 3, 0, 1, 1, 0, 1, 4, 2, 4, 3, 3, 2, 4, 2, 2, 0, 4, 4, 2, 2, 2, 2, 0, 3, 0, 2, 3, 0, 1, 3, 1, 3, 3, 4, 2, 2, 1, 2, 0, 4, 0, 4, 2, 2, 1, 4, 2, 4, 0, 3, 4, 0, 2, 3, 0, 4, 1, 2, 0, 1, 0, 0, 4, 3, 2, 3, 0, 3, 0, 4, 4, 4, 4, 4, 0, 4, 0, 2, 0, 0, 3, 0, 4, 0, 3, 0, 2, 0, 4]
pubkeycol719 = [2, 0, 2, 2, 3, 4, 4, 1, 2, 4, 4, 2, 3, 4, 4, 3, 1, 0, 1, 4, 4, 0, 2, 3, 1, 2, 4, 2, 0, 0, 1, 0, 0, 3, 0, 2, 1, 4, 3, 4, 2, 1, 1, 4, 2, 2, 4, 1, 2, 1, 3, 1, 2, 1, 2, 4, 2, 3, 2, 3, 4, 2, 4, 3, 2, 0, 0, 0, 4, 0, 3, 1, 2, 4, 2, 1, 2, 2, 0, 2, 3, 4, 0, 2, 2, 0, 3, 4, 4, 1, 3, 2, 3, 1, 0, 3, 2, 0, 3, 0, 0, 2, 2, 0, 3, 1, 2, 1, 0, 4, 2, 1, 3, 0, 1, 1, 0, 2, 4, 2, 4, 1, 3, 2, 2, 2, 3, 1, 2, 3, 1, 0, 3, 0, 1, 3, 2, 0, 4, 2, 4, 2, 0, 2, 1, 3, 3, 2, 1, 1, 3, 4, 4, 1, 3, 2, 1, 4, 4, 3, 3, 0, 0, 3, 1, 0, 3, 2, 1, 4, 2, 1, 0, 0, 1, 0, 2, 4, 2, 0, 2, 0, 4, 1, 2, 3, 0, 4, 1, 3, 1, 1, 0, 1, 3, 4, 3, 2, 1, 4, 1, 1, 3, 4, 3, 3, 0, 2, 3, 2, 3, 3, 0, 3, 2, 2, 3, 3, 3, 2, 1, 0, 4, 3, 0, 0, 3, 2, 3, 4, 2, 1, 0, 1, 2, 0, 3, 4, 1, 1, 2, 2, 2, 1, 3, 3, 1, 4, 0, 3, 2, 2, 3, 3, 0, 2, 2, 1, 3, 0, 4, 3, 0, 4, 4, 1, 1, 1, 2, 1, 1, 4, 1, 0, 4, 3, 2, 2, 2, 4, 1, 2, 4, 3, 1, 2, 4, 3, 2, 0, 1, 3, 4, 2, 3, 0, 0, 4, 4, 1, 0, 4, 4, 4, 1, 0, 1, 0, 0, 0, 3, 0, 1, 1, 0, 3, 4, 0, 4, 2, 1, 4, 3, 2, 0, 3, 3, 2, 4, 0, 0, 4, 3, 0, 0, 2, 4, 2, 0, 4, 4, 1, 3, 4, 4, 0, 0, 2, 3, 0, 0, 4, 1, 2, 0, 3, 0, 4, 4, 0, 1, 0, 4, 2, 4, 4, 1, 3, 4, 1, 3, 0, 2, 2, 1, 0, 2, 4, 1, 3, 1, 2, 4, 4, 1, 4, 1, 2, 4, 0, 3, 3, 1, 0, 3, 2, 2, 4, 4, 4, 0, 0, 2, 0, 0, 4, 1, 2, 1, 4, 2, 1, 1, 2, 0, 4, 4, 4, 3, 1, 4, 4, 3, 3, 4, 0, 4, 0, 4, 0, 0, 4, 0, 2, 0, 1, 4, 3, 4, 1, 3, 1, 0, 3, 2, 0, 3, 4, 4, 1, 4, 0, 2, 4, 1, 0, 0, 1, 0, 3, 4, 4, 4, 4, 2, 2, 0, 2, 3, 3, 3, 0, 0, 4, 2, 4, 2, 4, 3, 2, 1, 2, 2, 3, 1, 2, 0, 4, 4, 4, 1, 3, 4, 2, 0, 1, 0, 3, 3, 3, 1, 0, 0, 4, 1]
pubkeycol720 = [4, 3, 0, 1, 3, 2, 2, 1, 2, 0, 0, 2, 1, 4, 3, 1, 2, 0, 2, 4, 3, 4, 3, 3, 0, 4, 1, 2, 3, 2, 3, 0, 3, 3, 3, 0, 2, 2, 4, 3, 1, 0, 1, 4, 4, 4, 4, 0, 4, 0, 1, 3, 2, 3, 4, 2, 4, 3, 2, 3, 2, 4, 4, 4, 4, 1, 4, 1, 4, 4, 0, 1, 1, 0, 0, 3, 0, 0, 4, 1, 1, 2, 2, 2, 4, 4, 0, 3, 3, 1, 1, 3, 1, 4, 0, 0, 0, 4, 0, 3, 2, 0, 2, 3, 2, 3, 4, 4, 2, 4, 0, 1, 1, 3, 4, 1, 4, 0, 0, 1, 0, 3, 2, 2, 3, 2, 3, 0, 0, 0, 1, 4, 0, 2, 3, 0, 0, 1, 4, 1, 2, 3, 0, 0, 4, 1, 4, 2, 0, 2, 0, 3, 3, 4, 4, 4, 3, 4, 2, 4, 3, 0, 1, 0, 3, 0, 0, 0, 1, 1, 2, 4, 3, 4, 0, 1, 3, 4, 4, 4, 3, 2, 4, 4, 4, 2, 0, 0, 1, 1, 2, 1, 1, 4, 0, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 0, 0, 4, 1, 1, 3, 0, 2, 4, 3, 2, 2, 4, 1, 0, 2, 3, 3, 1, 1, 1, 0, 4, 3, 2, 1, 2, 3, 2, 0, 2, 0, 2, 0, 3, 1, 4, 3, 1, 3, 1, 4, 4, 2, 3, 4, 3, 3, 3, 4, 1, 0, 4, 1, 0, 3, 4, 1, 3, 4, 1, 4, 0, 1, 2, 1, 3, 3, 2, 0, 3, 0, 0, 2, 0, 0, 4, 0, 2, 2, 3, 0, 0, 1, 1, 4, 3, 4, 3, 3, 3, 2, 3, 3, 0, 2, 2, 1, 2, 3, 1, 1, 1, 4, 4, 0, 4, 1, 0, 4, 0, 3, 2, 1, 2, 4, 1, 1, 3, 2, 4, 0, 1, 1, 2, 0, 3, 4, 1, 2, 1, 4, 0, 4, 0, 1, 0, 4, 0, 4, 0, 3, 0, 4, 4, 4, 1, 0, 3, 0, 0, 4, 2, 0, 0, 1, 4, 2, 2, 0, 0, 0, 4, 4, 1, 4, 4, 2, 4, 1, 3, 1, 1, 0, 1, 3, 2, 0, 1, 2, 4, 2, 1, 2, 2, 2, 4, 2, 2, 3, 2, 4, 3, 1, 0, 3, 2, 2, 3, 3, 1, 3, 3, 3, 0, 1, 0, 2, 3, 1, 0, 4, 4, 1, 3, 3, 3, 3, 3, 3, 2, 2, 4, 4, 0, 2, 0, 2, 1, 4, 4, 1, 4, 2, 4, 4, 0, 0, 3, 0, 4, 1, 3, 4, 2, 4, 2, 1, 1, 3, 0, 1, 0, 0, 1, 3, 1, 3, 1, 4, 3, 4, 0, 0, 2, 3, 1, 3, 2, 4, 0, 3, 0, 2, 4, 0, 2, 3, 3, 4, 0, 2, 3, 2, 2, 1, 0, 2, 0, 4, 4, 3, 0, 2, 0, 4, 0, 4, 2, 0]
pubkeycol721 = [3, 3, 1, 3, 2, 0, 2, 1, 2, 4, 1, 3, 1, 0, 2, 4, 3, 4, 1, 3, 3, 1, 0, 2, 3, 1, 1, 0, 3, 2, 0, 3, 2, 3, 0, 3, 4, 1, 2, 2, 1, 0, 4, 1, 4, 0, 3, 4, 4, 4, 0, 3, 2, 4, 2, 2, 4, 1, 1, 1, 2, 0, 0, 1, 3, 2, 3, 4, 2, 4, 3, 4, 4, 0, 0, 4, 0, 1, 0, 1, 3, 3, 0, 3, 1, 0, 4, 2, 2, 3, 3, 1, 4, 4, 2, 0, 3, 0, 2, 3, 4, 1, 1, 1, 4, 2, 4, 2, 0, 1, 3, 1, 2, 4, 1, 1, 4, 1, 0, 1, 0, 0, 1, 1, 3, 1, 1, 2, 4, 0, 3, 0, 0, 1, 1, 1, 3, 0, 2, 0, 3, 3, 0, 0, 4, 3, 1, 4, 4, 2, 4, 2, 2, 2, 4, 3, 2, 2, 3, 1, 0, 2, 4, 1, 2, 4, 0, 1, 3, 1, 3, 0, 0, 2, 0, 4, 4, 0, 2, 2, 4, 1, 0, 0, 1, 3, 2, 1, 1, 3, 4, 0, 2, 3, 0, 1, 4, 2, 4, 0, 2, 0, 0, 0, 0, 4, 3, 3, 4, 3, 1, 4, 4, 1, 0, 3, 2, 2, 0, 4, 3, 1, 0, 4, 4, 0, 1, 0, 4, 1, 2, 2, 0, 3, 2, 3, 4, 3, 2, 3, 3, 2, 2, 1, 0, 3, 1, 4, 0, 1, 0, 2, 4, 2, 0, 0, 3, 1, 4, 4, 3, 2, 1, 3, 0, 1, 0, 1, 2, 0, 2, 2, 3, 3, 2, 3, 2, 0, 0, 0, 2, 4, 2, 3, 0, 3, 1, 3, 2, 1, 4, 4, 3, 2, 2, 0, 3, 2, 3, 1, 0, 0, 4, 2, 1, 0, 2, 3, 4, 0, 0, 4, 2, 2, 4, 2, 0, 3, 1, 1, 2, 1, 3, 3, 3, 1, 3, 1, 4, 1, 3, 1, 2, 2, 1, 3, 0, 1, 0, 2, 3, 2, 4, 1, 4, 0, 4, 1, 1, 2, 2, 1, 1, 1, 3, 4, 1, 3, 0, 3, 2, 0, 1, 2, 2, 4, 2, 4, 1, 2, 0, 3, 2, 4, 2, 3, 0, 3, 2, 3, 4, 4, 1, 2, 0, 0, 3, 3, 1, 4, 2, 4, 1, 2, 4, 2, 1, 4, 4, 2, 0, 0, 1, 2, 2, 0, 0, 4, 3, 1, 4, 3, 4, 0, 1, 4, 3, 4, 0, 2, 1, 1, 4, 1, 2, 3, 4, 1, 1, 4, 1, 3, 4, 4, 4, 0, 0, 2, 1, 0, 3, 0, 1, 2, 4, 2, 2, 4, 2, 1, 1, 0, 0, 2, 1, 3, 3, 4, 3, 4, 0, 1, 4, 1, 2, 0, 0, 0, 0, 2, 4, 4, 2, 2, 1, 1, 4, 4, 3, 2, 4, 0, 2, 4, 1, 2, 0, 4, 0, 1, 2, 0, 1, 0, 0, 3, 4, 3, 4, 1, 1, 1, 3, 2, 4]
pubkeycol722 = [1, 1, 4, 1, 4, 4, 1, 2, 0, 2, 3, 4, 1, 0, 1, 1, 0, 1, 1, 3, 3, 0, 3, 1, 2, 1, 3, 2, 2, 4, 3, 1, 4, 4, 2, 0, 0, 3, 1, 2, 2, 1, 1, 3, 4, 4, 3, 2, 4, 4, 3, 0, 1, 2, 1, 3, 3, 2, 2, 0, 3, 1, 0, 3, 3, 4, 2, 0, 3, 0, 1, 0, 4, 1, 0, 1, 1, 4, 3, 0, 3, 3, 1, 1, 1, 4, 4, 3, 2, 1, 0, 1, 1, 2, 0, 3, 2, 1, 2, 2, 0, 0, 4, 4, 0, 2, 2, 1, 2, 4, 4, 1, 2, 4, 1, 3, 0, 0, 0, 0, 2, 4, 3, 4, 4, 4, 1, 2, 3, 1, 1, 0, 0, 2, 2, 1, 4, 3, 2, 2, 3, 1, 3, 0, 0, 2, 3, 3, 2, 3, 0, 4, 4, 4, 1, 1, 2, 1, 2, 1, 1, 3, 4, 1, 4, 1, 4, 0, 2, 3, 1, 3, 0, 3, 3, 2, 1, 4, 2, 2, 3, 2, 1, 3, 3, 1, 0, 0, 1, 1, 1, 3, 1, 1, 4, 1, 1, 3, 1, 0, 4, 3, 2, 3, 0, 3, 0, 4, 0, 3, 0, 4, 4, 0, 4, 3, 4, 2, 1, 3, 1, 4, 4, 2, 1, 1, 0, 4, 0, 3, 4, 1, 0, 2, 1, 0, 1, 0, 1, 2, 4, 3, 0, 2, 3, 4, 4, 0, 0, 0, 2, 0, 1, 3, 2, 2, 1, 2, 0, 4, 0, 2, 4, 3, 1, 1, 1, 1, 2, 3, 1, 1, 3, 2, 1, 3, 4, 3, 1, 4, 1, 3, 1, 1, 4, 3, 4, 2, 4, 0, 2, 3, 2, 0, 1, 3, 4, 0, 0, 0, 1, 4, 4, 3, 4, 0, 4, 3, 0, 4, 0, 1, 2, 4, 4, 0, 0, 1, 1, 1, 4, 0, 4, 3, 3, 4, 2, 0, 2, 4, 0, 1, 2, 4, 2, 0, 0, 2, 1, 0, 2, 0, 4, 1, 0, 1, 1, 0, 1, 3, 1, 3, 4, 2, 3, 0, 0, 0, 4, 3, 2, 4, 3, 1, 0, 4, 2, 0, 3, 1, 4, 0, 4, 4, 3, 0, 3, 2, 2, 3, 3, 0, 1, 0, 0, 3, 3, 2, 2, 1, 2, 0, 3, 3, 1, 2, 0, 2, 3, 3, 4, 1, 1, 3, 1, 1, 3, 1, 4, 4, 4, 2, 3, 0, 1, 0, 2, 4, 0, 3, 0, 2, 4, 0, 2, 1, 2, 4, 1, 1, 2, 4, 0, 3, 1, 3, 4, 1, 4, 2, 0, 4, 2, 0, 4, 0, 3, 3, 1, 3, 3, 4, 0, 2, 4, 1, 3, 3, 3, 0, 1, 0, 0, 2, 0, 0, 0, 4, 2, 3, 4, 0, 4, 2, 1, 2, 2, 3, 2, 4, 2, 3, 4, 2, 1, 3, 3, 2, 4, 0, 4, 3, 1, 0, 4, 1, 0, 1, 3, 2, 2, 1, 2, 2, 3]
pubkeycol723 = [0, 1, 3, 4, 2, 4, 1, 2, 1, 3, 1, 0, 1, 4, 1, 2, 0, 2, 2, 0, 0, 3, 4, 3, 2, 0, 1, 2, 2, 3, 1, 3, 3, 4, 2, 2, 4, 3, 4, 4, 0, 3, 3, 3, 0, 1, 4, 4, 2, 0, 0, 1, 1, 2, 3, 2, 3, 0, 3, 2, 2, 0, 1, 4, 3, 0, 4, 1, 3, 0, 4, 4, 2, 3, 1, 0, 0, 0, 4, 2, 4, 4, 1, 4, 1, 3, 3, 0, 1, 2, 1, 3, 0, 2, 2, 1, 0, 2, 4, 0, 0, 0, 3, 0, 0, 3, 2, 2, 2, 3, 2, 4, 2, 0, 1, 2, 2, 1, 1, 1, 3, 4, 2, 3, 2, 0, 0, 4, 4, 3, 0, 2, 2, 3, 0, 0, 1, 4, 2, 3, 0, 4, 4, 0, 0, 1, 1, 0, 1, 3, 0, 0, 1, 1, 2, 4, 4, 4, 0, 3, 4, 3, 1, 4, 0, 0, 4, 0, 1, 1, 4, 3, 0, 3, 1, 0, 4, 4, 1, 4, 2, 4, 0, 3, 2, 4, 0, 4, 4, 3, 3, 4, 0, 3, 0, 2, 0, 2, 2, 3, 0, 4, 0, 4, 3, 3, 2, 1, 4, 1, 3, 2, 0, 1, 3, 1, 1, 3, 3, 4, 1, 0, 1, 4, 3, 0, 3, 3, 3, 1, 1, 1, 0, 3, 2, 3, 2, 4, 1, 3, 4, 4, 2, 3, 2, 2, 4, 3, 0, 1, 3, 3, 0, 1, 0, 1, 0, 1, 0, 4, 3, 0, 2, 3, 1, 1, 1, 2, 3, 3, 0, 0, 4, 3, 3, 4, 0, 3, 4, 4, 0, 0, 1, 0, 0, 0, 0, 2, 0, 3, 2, 0, 0, 4, 4, 3, 0, 3, 2, 4, 0, 1, 2, 0, 2, 3, 2, 3, 2, 2, 1, 0, 1, 3, 1, 0, 0, 3, 3, 1, 2, 0, 4, 3, 2, 3, 3, 0, 2, 3, 3, 0, 4, 0, 3, 4, 4, 1, 1, 3, 1, 2, 3, 0, 1, 0, 1, 4, 3, 1, 2, 3, 3, 2, 3, 1, 0, 4, 1, 1, 1, 3, 2, 3, 2, 4, 2, 4, 4, 4, 4, 3, 2, 0, 0, 1, 3, 0, 0, 0, 3, 2, 4, 2, 3, 3, 1, 2, 4, 1, 4, 2, 4, 4, 3, 0, 1, 3, 4, 4, 3, 3, 4, 4, 1, 1, 1, 2, 3, 2, 1, 2, 3, 4, 3, 1, 4, 4, 1, 1, 3, 3, 3, 4, 1, 0, 2, 1, 2, 2, 4, 2, 2, 4, 1, 1, 1, 0, 4, 3, 2, 1, 2, 3, 3, 0, 3, 4, 2, 2, 3, 0, 4, 0, 1, 4, 3, 0, 0, 3, 1, 0, 4, 0, 4, 1, 4, 4, 2, 3, 1, 0, 1, 3, 0, 1, 2, 3, 0, 0, 1, 4, 4, 4, 0, 3, 4, 4, 2, 0, 3, 4, 1, 3, 1, 0, 2, 2, 4, 1, 1, 2, 2, 3, 1]
pubkeycol724 = [0, 4, 0, 2, 2, 4, 1, 0, 0, 0, 3, 1, 3, 1, 2, 3, 0, 0, 0, 0, 3, 0, 4, 3, 2, 3, 2, 3, 4, 4, 3, 4, 0, 1, 0, 3, 4, 1, 2, 0, 3, 3, 0, 2, 0, 2, 1, 1, 2, 0, 0, 4, 3, 4, 3, 1, 2, 2, 0, 3, 1, 2, 2, 3, 3, 1, 3, 1, 3, 0, 0, 2, 4, 1, 1, 1, 4, 0, 2, 0, 0, 2, 2, 2, 4, 0, 4, 2, 2, 3, 3, 1, 3, 0, 0, 4, 2, 0, 1, 0, 1, 3, 4, 3, 4, 0, 3, 2, 4, 4, 3, 0, 4, 3, 3, 3, 1, 4, 4, 2, 4, 1, 2, 4, 2, 0, 3, 0, 4, 1, 0, 0, 1, 1, 1, 1, 4, 3, 3, 3, 2, 3, 1, 1, 2, 3, 4, 3, 4, 3, 3, 3, 1, 4, 1, 4, 0, 0, 0, 1, 1, 2, 3, 1, 0, 3, 0, 3, 1, 1, 1, 0, 2, 4, 3, 2, 4, 1, 1, 4, 1, 1, 4, 0, 1, 0, 1, 1, 1, 3, 1, 1, 1, 2, 3, 2, 0, 0, 3, 1, 2, 3, 0, 4, 0, 4, 3, 0, 4, 1, 0, 1, 2, 4, 3, 4, 1, 4, 1, 0, 3, 1, 3, 4, 2, 3, 3, 0, 4, 4, 0, 4, 3, 4, 4, 2, 3, 4, 3, 3, 2, 2, 4, 4, 1, 4, 4, 0, 1, 0, 0, 1, 0, 1, 3, 1, 2, 3, 3, 3, 1, 2, 4, 3, 2, 1, 2, 0, 0, 4, 0, 0, 3, 2, 0, 4, 0, 1, 0, 4, 1, 2, 4, 2, 3, 1, 4, 0, 0, 3, 0, 4, 3, 2, 4, 2, 1, 2, 0, 0, 3, 3, 1, 0, 0, 3, 1, 0, 0, 4, 1, 4, 2, 4, 1, 1, 1, 3, 2, 3, 3, 0, 2, 3, 3, 2, 2, 2, 4, 2, 1, 3, 1, 3, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 3, 4, 0, 3, 3, 2, 1, 3, 2, 0, 3, 2, 3, 0, 3, 1, 2, 4, 0, 4, 1, 2, 3, 3, 3, 0, 0, 4, 4, 2, 3, 0, 1, 4, 0, 2, 4, 2, 2, 0, 2, 2, 2, 3, 3, 4, 0, 1, 0, 4, 0, 0, 0, 4, 1, 1, 1, 3, 2, 0, 0, 2, 0, 0, 3, 4, 4, 0, 0, 4, 4, 2, 0, 1, 3, 1, 3, 2, 4, 1, 3, 4, 2, 1, 1, 0, 2, 0, 3, 3, 0, 4, 3, 1, 3, 1, 4, 3, 4, 3, 1, 0, 2, 1, 1, 3, 1, 0, 2, 1, 3, 2, 3, 4, 1, 1, 4, 0, 1, 3, 4, 0, 3, 0, 3, 3, 2, 2, 0, 1, 1, 4, 1, 2, 1, 1, 1, 3, 2, 1, 4, 0, 4, 1, 3, 4, 2, 2, 2, 4, 2, 1, 0, 4, 1, 1, 3, 3, 4, 0]
pubkeycol725 = [3, 0, 2, 3, 1, 3, 0, 2, 4, 3, 3, 3, 3, 1, 4, 3, 0, 4, 0, 3, 0, 4, 4, 1, 2, 3, 3, 4, 3, 0, 1, 4, 3, 3, 0, 1, 3, 0, 4, 3, 4, 3, 3, 2, 2, 0, 4, 3, 1, 2, 0, 1, 3, 3, 2, 4, 3, 1, 3, 3, 2, 1, 1, 2, 2, 0, 3, 2, 0, 4, 0, 2, 0, 3, 0, 0, 3, 3, 0, 4, 2, 1, 0, 0, 0, 3, 0, 2, 3, 3, 1, 0, 0, 1, 2, 2, 3, 3, 4, 4, 2, 0, 3, 4, 4, 1, 2, 2, 2, 0, 4, 4, 1, 4, 0, 1, 0, 4, 2, 0, 2, 1, 3, 3, 4, 4, 2, 4, 2, 3, 2, 0, 3, 3, 4, 2, 2, 4, 1, 4, 1, 0, 0, 1, 3, 4, 3, 2, 4, 0, 2, 1, 4, 4, 0, 2, 0, 2, 4, 2, 4, 4, 1, 1, 0, 1, 3, 2, 0, 3, 0, 3, 4, 4, 3, 4, 4, 4, 0, 4, 2, 4, 0, 0, 4, 0, 1, 1, 1, 1, 3, 3, 2, 2, 2, 2, 2, 2, 0, 0, 2, 4, 4, 2, 0, 4, 4, 3, 3, 1, 4, 3, 4, 0, 4, 4, 1, 2, 3, 2, 3, 0, 2, 4, 1, 3, 4, 2, 3, 2, 2, 4, 1, 0, 3, 4, 3, 1, 3, 2, 3, 3, 2, 2, 3, 2, 0, 2, 3, 1, 0, 1, 1, 4, 2, 0, 2, 2, 0, 3, 4, 4, 0, 2, 1, 4, 4, 2, 0, 4, 2, 4, 1, 2, 0, 1, 2, 2, 2, 1, 0, 4, 3, 4, 3, 3, 3, 4, 3, 0, 1, 2, 4, 0, 2, 0, 1, 2, 2, 1, 4, 3, 1, 4, 3, 1, 0, 2, 4, 2, 1, 3, 0, 0, 0, 3, 3, 1, 0, 1, 1, 2, 2, 0, 0, 4, 4, 3, 4, 0, 2, 2, 3, 0, 1, 1, 1, 1, 1, 3, 0, 2, 3, 4, 4, 0, 2, 3, 3, 3, 1, 1, 2, 0, 0, 4, 0, 3, 4, 0, 4, 1, 0, 1, 1, 2, 1, 4, 1, 1, 0, 0, 2, 0, 1, 2, 4, 3, 0, 1, 0, 2, 3, 3, 4, 4, 1, 1, 2, 1, 4, 2, 1, 2, 0, 3, 0, 4, 2, 1, 3, 4, 0, 3, 2, 1, 4, 3, 1, 2, 2, 4, 3, 1, 4, 3, 1, 1, 4, 1, 2, 3, 4, 2, 1, 4, 0, 2, 2, 4, 4, 0, 1, 1, 2, 3, 1, 1, 3, 4, 4, 1, 0, 3, 3, 4, 3, 2, 1, 3, 3, 1, 2, 3, 0, 4, 1, 2, 4, 3, 3, 0, 3, 4, 3, 0, 0, 2, 4, 2, 4, 4, 3, 0, 2, 4, 0, 2, 3, 0, 4, 2, 4, 3, 0, 4, 4, 2, 2, 2, 1, 3, 1, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 0, 1]
pubkeycol726 = [2, 3, 3, 3, 1, 0, 1, 4, 3, 1, 3, 1, 1, 4, 2, 3, 4, 3, 1, 1, 4, 3, 3, 2, 3, 3, 1, 4, 0, 4, 0, 1, 4, 3, 0, 2, 3, 3, 2, 1, 4, 2, 1, 2, 2, 1, 0, 4, 4, 3, 0, 0, 3, 2, 3, 0, 2, 0, 3, 3, 2, 0, 4, 4, 2, 0, 3, 3, 3, 1, 2, 2, 2, 0, 4, 1, 2, 4, 0, 3, 1, 2, 2, 1, 0, 1, 4, 4, 1, 3, 3, 0, 3, 1, 0, 1, 4, 4, 0, 0, 3, 4, 1, 4, 2, 2, 2, 0, 1, 1, 4, 3, 2, 4, 3, 1, 4, 2, 1, 3, 3, 2, 0, 3, 1, 0, 0, 0, 0, 2, 2, 1, 3, 4, 3, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 4, 2, 3, 1, 0, 1, 0, 0, 0, 4, 1, 0, 3, 3, 1, 3, 4, 4, 1, 0, 2, 1, 3, 3, 3, 4, 1, 1, 0, 4, 2, 4, 2, 3, 0, 2, 0, 4, 2, 4, 2, 2, 3, 0, 4, 1, 1, 4, 0, 3, 0, 4, 3, 3, 0, 2, 3, 3, 2, 3, 1, 4, 1, 1, 4, 3, 1, 2, 0, 1, 3, 1, 2, 3, 2, 0, 0, 4, 0, 1, 2, 0, 3, 2, 1, 1, 3, 2, 2, 4, 0, 1, 0, 2, 3, 1, 3, 3, 2, 2, 1, 3, 0, 2, 2, 3, 0, 4, 3, 3, 0, 3, 2, 0, 0, 1, 0, 2, 2, 0, 2, 3, 2, 3, 0, 0, 1, 0, 4, 0, 1, 2, 1, 3, 4, 0, 2, 4, 0, 0, 1, 2, 4, 1, 3, 4, 3, 4, 1, 2, 1, 3, 4, 2, 0, 3, 1, 3, 3, 2, 0, 1, 3, 3, 1, 1, 0, 4, 4, 4, 2, 3, 4, 4, 2, 3, 4, 2, 4, 1, 4, 4, 1, 3, 2, 4, 4, 1, 4, 2, 0, 4, 2, 1, 3, 4, 4, 4, 0, 3, 1, 2, 2, 3, 4, 4, 2, 2, 2, 4, 4, 1, 1, 0, 0, 2, 3, 2, 0, 4, 2, 0, 3, 4, 1, 1, 3, 1, 4, 3, 2, 2, 2, 1, 0, 0, 3, 0, 0, 1, 1, 4, 0, 3, 2, 2, 4, 2, 3, 1, 2, 1, 1, 2, 3, 1, 2, 4, 3, 1, 4, 3, 2, 2, 3, 2, 1, 1, 3, 1, 0, 0, 1, 1, 2, 4, 4, 0, 4, 0, 1, 3, 4, 2, 3, 2, 2, 3, 0, 1, 3, 0, 2, 1, 1, 1, 4, 1, 0, 1, 2, 0, 4, 2, 0, 3, 1, 0, 1, 4, 4, 2, 2, 0, 1, 3, 4, 2, 3, 0, 4, 3, 1, 3, 1, 0, 3, 3, 3, 3, 1, 0, 2, 4, 3, 4, 1, 4, 3, 4, 0, 4, 2, 2, 1, 2, 1, 0, 0, 1, 3, 3, 1, 0, 0, 2, 0, 0, 4, 1]
pubkeycol727 = [1, 4, 4, 3, 2, 0, 4, 2, 0, 3, 4, 1, 0, 4, 4, 3, 0, 4, 1, 4, 3, 3, 2, 0, 0, 3, 3, 4, 0, 3, 3, 2, 1, 3, 0, 2, 1, 0, 3, 1, 0, 2, 3, 0, 3, 4, 3, 0, 2, 2, 2, 2, 0, 4, 2, 1, 0, 1, 3, 2, 2, 4, 4, 2, 2, 1, 3, 1, 0, 4, 3, 4, 0, 2, 1, 2, 3, 1, 2, 4, 1, 2, 2, 2, 4, 4, 0, 2, 2, 0, 2, 0, 0, 3, 0, 1, 4, 1, 4, 1, 3, 2, 2, 2, 1, 2, 1, 3, 4, 2, 1, 0, 2, 3, 0, 2, 4, 3, 1, 3, 2, 0, 1, 0, 4, 3, 0, 2, 4, 2, 2, 1, 1, 0, 0, 2, 3, 3, 2, 0, 3, 4, 0, 2, 2, 4, 1, 0, 4, 0, 4, 3, 0, 0, 2, 4, 3, 3, 0, 4, 3, 4, 2, 3, 3, 2, 1, 4, 4, 4, 4, 3, 1, 2, 1, 4, 2, 2, 4, 3, 2, 2, 4, 2, 0, 2, 2, 2, 4, 1, 1, 3, 3, 0, 4, 3, 1, 1, 2, 1, 2, 0, 2, 3, 3, 4, 1, 3, 3, 0, 0, 4, 0, 1, 2, 3, 2, 0, 1, 3, 4, 0, 1, 2, 2, 1, 1, 0, 4, 1, 1, 1, 3, 1, 0, 1, 2, 2, 3, 4, 2, 0, 4, 1, 0, 2, 0, 3, 3, 3, 2, 3, 3, 1, 1, 3, 2, 2, 2, 1, 0, 1, 3, 1, 1, 2, 1, 3, 0, 3, 1, 1, 3, 3, 0, 2, 4, 0, 0, 4, 0, 4, 1, 4, 2, 3, 3, 3, 4, 4, 2, 4, 4, 0, 2, 4, 0, 0, 2, 4, 4, 0, 4, 4, 1, 4, 4, 3, 1, 2, 4, 1, 4, 0, 0, 4, 3, 2, 2, 4, 1, 2, 3, 2, 1, 2, 2, 0, 0, 2, 2, 4, 0, 2, 0, 1, 1, 4, 3, 3, 1, 2, 1, 3, 3, 1, 4, 0, 1, 3, 4, 1, 1, 3, 2, 2, 0, 4, 0, 2, 4, 1, 1, 1, 3, 4, 4, 0, 1, 0, 1, 0, 4, 1, 3, 4, 4, 1, 1, 4, 4, 3, 3, 1, 1, 3, 2, 1, 0, 2, 4, 3, 1, 2, 3, 1, 1, 0, 4, 3, 4, 2, 4, 4, 0, 1, 2, 3, 3, 0, 3, 4, 1, 0, 4, 4, 0, 4, 3, 3, 1, 4, 4, 2, 2, 3, 0, 2, 0, 0, 4, 2, 0, 0, 4, 1, 0, 4, 3, 1, 2, 2, 4, 1, 3, 3, 0, 2, 2, 3, 2, 4, 4, 0, 3, 2, 4, 2, 0, 4, 2, 0, 0, 1, 3, 3, 4, 1, 1, 4, 1, 0, 1, 4, 1, 1, 0, 1, 2, 0, 1, 0, 4, 4, 3, 4, 1, 3, 0, 3, 4, 0, 2, 0, 0, 2, 4, 3, 3, 3, 0, 4, 2, 0, 3]
pubkeycol728 = [3, 4, 3, 3, 0, 0, 3, 0, 3, 4, 4, 2, 2, 1, 3, 1, 1, 1, 3, 4, 0, 1, 4, 2, 3, 0, 4, 3, 0, 1, 1, 4, 0, 1, 0, 0, 0, 3, 2, 0, 4, 4, 0, 3, 3, 1, 0, 1, 2, 2, 0, 3, 2, 0, 1, 2, 3, 0, 1, 1, 2, 4, 4, 0, 0, 1, 3, 0, 4, 4, 0, 3, 3, 1, 3, 4, 1, 2, 3, 1, 2, 1, 3, 1, 4, 3, 2, 4, 0, 3, 3, 2, 3, 3, 4, 2, 1, 1, 0, 2, 3, 0, 3, 0, 0, 4, 3, 2, 3, 2, 2, 0, 1, 2, 4, 1, 2, 4, 0, 0, 3, 3, 3, 3, 0, 0, 1, 3, 0, 3, 0, 1, 1, 1, 4, 2, 1, 4, 4, 1, 3, 3, 1, 4, 1, 2, 4, 4, 4, 0, 0, 2, 1, 0, 4, 0, 0, 0, 3, 2, 1, 3, 4, 1, 4, 3, 0, 0, 4, 4, 0, 2, 4, 1, 4, 4, 2, 0, 4, 2, 4, 1, 0, 3, 3, 1, 3, 0, 0, 4, 2, 4, 2, 2, 4, 1, 2, 0, 4, 3, 4, 2, 0, 1, 3, 4, 1, 3, 0, 4, 1, 2, 3, 3, 3, 4, 1, 1, 1, 0, 2, 3, 1, 0, 0, 1, 0, 2, 0, 1, 3, 3, 1, 2, 2, 1, 0, 3, 2, 2, 4, 4, 1, 1, 1, 4, 0, 4, 0, 4, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 1, 1, 0, 3, 0, 2, 2, 1, 2, 4, 3, 3, 1, 2, 3, 2, 4, 2, 3, 1, 0, 3, 4, 0, 4, 4, 3, 2, 2, 2, 4, 4, 1, 3, 0, 4, 4, 3, 4, 0, 1, 2, 4, 2, 0, 4, 0, 1, 2, 0, 3, 0, 3, 2, 3, 4, 1, 1, 3, 0, 2, 0, 2, 3, 2, 4, 4, 2, 0, 3, 4, 4, 4, 1, 4, 0, 2, 2, 0, 0, 0, 4, 3, 0, 4, 0, 2, 2, 4, 1, 0, 1, 0, 4, 0, 0, 3, 0, 4, 1, 1, 4, 4, 3, 0, 1, 0, 1, 2, 3, 0, 1, 4, 4, 3, 1, 3, 4, 2, 1, 3, 0, 3, 2, 4, 2, 4, 2, 3, 1, 3, 0, 1, 2, 4, 0, 1, 4, 0, 3, 3, 3, 2, 0, 4, 2, 1, 2, 3, 4, 4, 1, 3, 2, 3, 0, 2, 3, 1, 3, 4, 2, 0, 2, 3, 3, 1, 4, 1, 1, 2, 4, 3, 0, 2, 0, 3, 4, 2, 2, 0, 2, 1, 0, 4, 0, 2, 1, 4, 4, 2, 4, 1, 2, 1, 0, 0, 1, 0, 4, 1, 1, 2, 2, 2, 4, 4, 4, 3, 3, 1, 0, 3, 3, 4, 4, 0, 2, 2, 1, 1, 3, 3, 4, 0, 1, 3, 4, 1, 0, 0, 3, 3, 1, 4, 4, 3, 3, 2, 2, 3, 4, 4, 1, 3]
pubkeycol729 = [4, 2, 0, 0, 2, 3, 3, 3, 0, 4, 2, 0, 0, 2, 2, 0, 0, 4, 3, 1, 3, 2, 4, 2, 3, 2, 0, 2, 3, 1, 4, 0, 4, 0, 4, 1, 2, 3, 2, 0, 2, 4, 1, 1, 1, 2, 3, 1, 0, 2, 3, 2, 0, 3, 2, 3, 2, 2, 4, 0, 3, 0, 1, 4, 1, 4, 4, 2, 0, 2, 4, 1, 4, 2, 3, 0, 1, 3, 3, 2, 3, 4, 0, 1, 2, 1, 3, 2, 2, 0, 2, 3, 0, 3, 3, 3, 4, 0, 2, 0, 1, 2, 0, 4, 0, 3, 4, 4, 3, 0, 2, 0, 1, 4, 0, 0, 0, 3, 4, 0, 2, 4, 4, 0, 1, 0, 3, 1, 2, 4, 1, 0, 4, 3, 3, 2, 3, 0, 2, 4, 0, 2, 0, 2, 3, 2, 4, 3, 0, 4, 3, 3, 3, 1, 3, 4, 4, 4, 2, 4, 0, 1, 1, 1, 1, 0, 2, 0, 1, 4, 4, 0, 2, 0, 2, 1, 1, 0, 0, 3, 1, 0, 4, 1, 1, 1, 3, 3, 4, 2, 2, 4, 3, 3, 2, 4, 1, 1, 1, 4, 1, 2, 4, 1, 0, 0, 2, 1, 4, 2, 4, 0, 1, 2, 0, 1, 3, 1, 0, 3, 4, 3, 3, 2, 2, 4, 4, 2, 1, 2, 3, 3, 0, 1, 4, 2, 3, 3, 3, 2, 3, 3, 1, 2, 2, 2, 3, 4, 0, 4, 0, 4, 1, 4, 1, 1, 3, 0, 3, 4, 3, 1, 2, 2, 3, 4, 1, 2, 1, 2, 2, 3, 0, 4, 0, 0, 1, 1, 0, 3, 1, 2, 2, 3, 2, 2, 1, 3, 2, 3, 0, 1, 2, 1, 2, 3, 4, 0, 4, 4, 1, 4, 1, 0, 2, 2, 2, 2, 2, 2, 4, 0, 1, 3, 4, 3, 1, 4, 1, 4, 0, 3, 4, 0, 2, 3, 1, 4, 3, 3, 0, 0, 2, 4, 3, 4, 1, 1, 3, 1, 0, 4, 0, 1, 0, 1, 1, 4, 3, 1, 3, 1, 0, 1, 3, 3, 4, 2, 0, 4, 4, 4, 1, 3, 0, 2, 0, 1, 2, 3, 1, 1, 1, 2, 0, 2, 4, 3, 2, 1, 0, 3, 1, 2, 0, 1, 4, 0, 3, 4, 1, 3, 4, 2, 0, 4, 2, 0, 2, 1, 4, 4, 0, 0, 0, 2, 0, 3, 2, 4, 1, 4, 3, 4, 1, 1, 2, 0, 4, 1, 2, 2, 1, 3, 3, 3, 1, 2, 3, 2, 1, 3, 0, 1, 4, 3, 0, 3, 2, 3, 2, 0, 4, 3, 3, 0, 3, 0, 2, 4, 0, 1, 4, 4, 1, 2, 3, 1, 1, 1, 2, 2, 2, 3, 4, 0, 0, 0, 3, 3, 1, 0, 2, 2, 2, 4, 1, 2, 1, 4, 1, 0, 0, 0, 2, 1, 1, 0, 4, 4, 4, 3, 2, 2, 4, 3, 2, 1, 0, 2, 1, 3, 0, 4, 3]
pubkeycol730 = [4, 4, 2, 3, 4, 4, 0, 4, 4, 3, 3, 0, 0, 3, 4, 1, 0, 3, 4, 0, 1, 1, 0, 1, 4, 4, 3, 1, 0, 4, 4, 0, 0, 4, 1, 0, 2, 1, 2, 3, 1, 0, 3, 0, 4, 1, 1, 3, 4, 1, 0, 1, 0, 1, 3, 4, 1, 4, 3, 3, 1, 1, 4, 4, 1, 2, 0, 4, 1, 0, 0, 0, 2, 1, 3, 2, 1, 0, 2, 1, 4, 2, 0, 2, 3, 4, 2, 3, 3, 0, 2, 4, 3, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 4, 3, 3, 3, 4, 1, 3, 1, 4, 2, 2, 2, 3, 4, 1, 4, 4, 0, 3, 3, 0, 3, 1, 3, 4, 4, 0, 2, 3, 2, 0, 0, 3, 4, 0, 1, 4, 2, 0, 1, 2, 2, 2, 3, 3, 2, 3, 4, 3, 1, 4, 1, 2, 2, 2, 1, 4, 0, 3, 2, 2, 1, 4, 2, 0, 4, 3, 0, 1, 4, 2, 2, 2, 0, 4, 0, 2, 2, 0, 1, 1, 0, 1, 0, 3, 1, 0, 1, 1, 1, 1, 4, 1, 1, 4, 4, 4, 3, 3, 2, 4, 4, 0, 0, 1, 2, 4, 0, 4, 3, 3, 3, 1, 0, 4, 4, 3, 1, 2, 1, 2, 4, 0, 0, 1, 4, 1, 3, 3, 2, 3, 3, 2, 1, 0, 1, 2, 1, 3, 1, 3, 2, 3, 0, 0, 3, 4, 2, 3, 3, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 3, 2, 2, 3, 2, 2, 3, 2, 3, 0, 1, 1, 0, 4, 2, 1, 0, 3, 3, 1, 2, 2, 3, 0, 1, 3, 2, 1, 0, 4, 3, 3, 4, 3, 4, 4, 3, 4, 0, 1, 0, 0, 1, 4, 2, 1, 0, 0, 2, 1, 0, 4, 4, 1, 0, 1, 3, 2, 2, 2, 4, 0, 4, 0, 3, 1, 1, 4, 1, 4, 4, 2, 0, 3, 4, 1, 3, 4, 0, 1, 1, 1, 2, 3, 1, 3, 0, 0, 4, 1, 1, 0, 1, 1, 2, 0, 2, 3, 4, 2, 2, 3, 0, 3, 1, 0, 2, 0, 0, 3, 2, 0, 4, 2, 2, 0, 1, 3, 3, 0, 0, 3, 0, 0, 4, 2, 4, 2, 2, 3, 0, 2, 2, 1, 0, 1, 3, 3, 2, 3, 0, 1, 1, 1, 2, 0, 3, 2, 4, 3, 3, 3, 2, 1, 1, 0, 3, 3, 0, 4, 4, 3, 3, 1, 1, 1, 0, 4, 3, 4, 4, 0, 3, 2, 4, 4, 3, 1, 0, 4, 2, 3, 1, 4, 1, 4, 2, 0, 2, 2, 4, 4, 4, 0, 2, 0, 3, 1, 4, 1, 2, 4, 4, 0, 0, 2, 2, 3, 3, 4, 1, 2, 1, 3, 4, 2, 0, 0, 3, 0, 3, 1, 1, 2, 2, 2, 1, 2, 1, 2, 3, 4, 0, 4, 2, 2, 0, 0, 1, 3, 1]
pubkeycol731 = [1, 2, 0, 4, 1, 2, 4, 1, 1, 3, 4, 1, 0, 0, 4, 3, 1, 1, 2, 2, 3, 1, 3, 1, 4, 1, 0, 4, 1, 4, 3, 2, 0, 2, 1, 3, 2, 3, 2, 0, 0, 0, 2, 3, 3, 1, 3, 3, 0, 0, 0, 1, 2, 4, 2, 2, 4, 2, 0, 4, 1, 1, 4, 4, 2, 3, 3, 1, 3, 2, 0, 3, 2, 0, 3, 3, 2, 0, 4, 0, 1, 0, 1, 3, 2, 4, 2, 4, 0, 3, 3, 1, 4, 2, 1, 1, 1, 1, 3, 3, 0, 1, 4, 1, 3, 3, 0, 2, 0, 0, 4, 2, 4, 1, 2, 0, 3, 0, 2, 4, 3, 2, 0, 4, 1, 2, 2, 4, 1, 2, 3, 1, 0, 1, 1, 2, 1, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 3, 0, 3, 0, 2, 2, 0, 3, 1, 3, 3, 2, 4, 3, 2, 2, 2, 3, 0, 0, 3, 2, 0, 2, 4, 1, 0, 1, 3, 4, 2, 2, 4, 2, 1, 0, 0, 2, 0, 1, 4, 1, 0, 0, 1, 4, 2, 2, 4, 3, 0, 1, 3, 4, 0, 0, 4, 4, 0, 3, 4, 3, 0, 1, 3, 0, 3, 0, 2, 2, 0, 2, 0, 2, 0, 0, 4, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 4, 0, 3, 4, 3, 4, 4, 4, 3, 0, 4, 4, 4, 4, 4, 3, 4, 4, 2, 3, 3, 4, 4, 1, 3, 3, 1, 0, 1, 3, 0, 4, 3, 3, 2, 1, 0, 0, 3, 4, 2, 2, 1, 4, 2, 3, 2, 1, 0, 2, 4, 3, 0, 4, 3, 2, 3, 0, 0, 3, 4, 4, 3, 3, 4, 0, 1, 0, 2, 1, 2, 1, 2, 4, 0, 2, 1, 4, 1, 4, 1, 3, 1, 4, 2, 1, 2, 2, 0, 3, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 2, 0, 4, 3, 2, 4, 3, 2, 1, 3, 0, 1, 1, 4, 2, 3, 4, 2, 3, 1, 3, 2, 1, 2, 1, 4, 3, 1, 3, 3, 1, 4, 2, 0, 2, 0, 4, 0, 0, 0, 2, 4, 2, 3, 3, 0, 3, 2, 1, 4, 3, 3, 1, 4, 2, 0, 0, 2, 3, 0, 4, 3, 1, 3, 3, 3, 2, 0, 3, 3, 2, 4, 2, 3, 3, 4, 0, 4, 3, 4, 4, 4, 4, 3, 3, 1, 1, 2, 4, 0, 0, 0, 4, 1, 4, 0, 4, 0, 1, 2, 1, 1, 0, 0, 4, 2, 2, 1, 1, 3, 2, 3, 3, 2, 3, 0, 2, 4, 2, 2, 0, 1, 3, 3, 3, 1, 1, 3, 3, 2, 3, 2, 1, 0, 4, 4, 1, 4, 2, 4, 3, 0, 3, 2, 1, 4, 4, 3, 2, 0, 0, 2, 3, 0, 3, 4, 3, 3, 4, 3, 2, 2, 1, 2, 0, 2, 4, 1]
pubkeycol732 = [2, 0, 0, 4, 0, 3, 1, 3, 0, 3, 1, 3, 3, 2, 0, 0, 2, 1, 0, 1, 0, 3, 3, 2, 0, 1, 4, 4, 2, 3, 3, 0, 1, 2, 4, 0, 2, 4, 0, 3, 1, 4, 0, 4, 3, 2, 0, 0, 4, 1, 4, 3, 1, 2, 3, 3, 2, 1, 4, 1, 3, 4, 3, 2, 1, 4, 4, 3, 1, 3, 4, 1, 2, 0, 1, 2, 2, 0, 4, 1, 0, 3, 3, 0, 2, 2, 0, 4, 2, 4, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 3, 4, 0, 4, 4, 2, 1, 3, 1, 2, 2, 2, 4, 4, 1, 3, 1, 1, 3, 3, 1, 0, 3, 1, 2, 0, 4, 0, 0, 3, 4, 3, 4, 2, 4, 0, 1, 2, 0, 0, 2, 4, 4, 2, 3, 3, 4, 2, 3, 3, 2, 3, 1, 1, 2, 0, 1, 4, 3, 3, 3, 4, 1, 1, 3, 0, 0, 3, 4, 1, 4, 4, 2, 0, 2, 0, 3, 4, 3, 0, 1, 0, 2, 1, 4, 0, 1, 1, 2, 2, 2, 4, 0, 2, 2, 0, 4, 4, 1, 3, 2, 1, 0, 0, 0, 4, 0, 1, 4, 3, 4, 3, 0, 4, 0, 1, 1, 0, 1, 1, 3, 0, 3, 3, 2, 1, 4, 1, 3, 2, 2, 2, 4, 4, 4, 2, 4, 3, 0, 4, 1, 4, 2, 2, 3, 3, 4, 0, 3, 1, 3, 0, 0, 3, 2, 1, 1, 4, 3, 1, 1, 2, 2, 4, 0, 2, 2, 4, 4, 0, 1, 3, 2, 1, 3, 2, 1, 0, 2, 4, 4, 3, 0, 1, 3, 4, 1, 2, 3, 2, 0, 0, 3, 3, 3, 3, 1, 1, 3, 3, 4, 2, 1, 2, 3, 2, 2, 3, 1, 0, 2, 2, 2, 1, 1, 4, 0, 1, 3, 4, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 3, 4, 0, 4, 0, 3, 3, 3, 4, 2, 4, 1, 4, 3, 2, 2, 2, 0, 3, 4, 3, 1, 3, 3, 4, 0, 0, 3, 2, 0, 1, 2, 1, 2, 3, 4, 3, 4, 1, 0, 4, 4, 4, 0, 0, 1, 3, 2, 1, 4, 3, 4, 4, 1, 0, 4, 4, 1, 1, 1, 2, 1, 4, 2, 4, 0, 1, 3, 0, 3, 2, 1, 1, 1, 0, 4, 0, 0, 2, 0, 4, 0, 1, 1, 4, 0, 0, 1, 2, 0, 1, 4, 2, 2, 3, 3, 0, 0, 0, 1, 3, 4, 4, 2, 1, 3, 4, 2, 4, 2, 3, 0, 0, 4, 3, 3, 3, 1, 0, 1, 1, 4, 2, 4, 1, 2, 0, 1, 3, 2, 2, 3, 1, 3, 0, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 4, 0, 1, 2, 3, 2, 4, 4, 3, 4, 1, 0, 0, 2, 3, 3, 4, 2, 1, 1, 1, 3, 4, 4, 3, 3]
pubkeycol733 = [3, 2, 4, 3, 3, 1, 3, 1, 2, 3, 0, 2, 0, 4, 2, 2, 4, 3, 3, 4, 1, 2, 2, 2, 2, 3, 0, 0, 1, 4, 3, 0, 3, 3, 4, 0, 3, 3, 0, 3, 0, 0, 1, 2, 0, 3, 3, 1, 4, 3, 4, 3, 4, 0, 0, 2, 1, 1, 3, 0, 3, 0, 0, 1, 2, 1, 3, 2, 2, 2, 0, 1, 4, 3, 1, 3, 1, 2, 4, 2, 1, 4, 3, 2, 1, 1, 1, 1, 2, 0, 2, 2, 4, 0, 1, 3, 1, 0, 1, 2, 0, 0, 3, 4, 2, 4, 0, 0, 0, 2, 0, 2, 4, 4, 1, 1, 4, 4, 0, 1, 3, 0, 2, 3, 2, 1, 3, 3, 1, 4, 3, 4, 2, 0, 3, 4, 1, 4, 1, 0, 0, 2, 2, 3, 1, 3, 3, 4, 0, 4, 0, 0, 3, 2, 0, 3, 4, 3, 4, 4, 1, 1, 2, 2, 1, 3, 0, 4, 2, 1, 0, 3, 1, 2, 1, 1, 4, 4, 1, 0, 2, 2, 0, 3, 0, 0, 2, 3, 1, 1, 0, 2, 4, 1, 0, 3, 3, 3, 4, 0, 1, 2, 2, 2, 1, 1, 2, 1, 3, 0, 1, 1, 3, 4, 2, 2, 0, 1, 4, 0, 4, 0, 1, 2, 0, 3, 0, 1, 3, 3, 2, 2, 2, 3, 0, 3, 2, 0, 3, 4, 0, 1, 0, 3, 0, 4, 1, 4, 4, 3, 2, 3, 1, 2, 0, 4, 4, 2, 3, 1, 2, 2, 4, 3, 1, 4, 2, 4, 2, 1, 3, 4, 4, 3, 1, 2, 1, 3, 2, 3, 0, 1, 4, 2, 2, 0, 2, 3, 3, 2, 4, 0, 3, 3, 1, 0, 4, 2, 1, 4, 3, 4, 0, 1, 1, 1, 3, 4, 0, 3, 0, 3, 1, 0, 2, 2, 3, 1, 0, 3, 4, 3, 3, 0, 0, 4, 1, 1, 0, 4, 3, 2, 0, 1, 3, 2, 0, 0, 0, 4, 0, 3, 1, 3, 3, 3, 3, 2, 3, 0, 0, 2, 3, 1, 0, 0, 4, 0, 4, 2, 1, 3, 0, 4, 2, 0, 4, 4, 2, 4, 3, 2, 3, 4, 3, 1, 1, 1, 0, 1, 4, 0, 1, 0, 4, 3, 3, 1, 3, 2, 4, 4, 1, 0, 2, 2, 4, 1, 4, 3, 2, 0, 1, 4, 0, 4, 3, 3, 2, 2, 4, 0, 1, 1, 0, 3, 4, 2, 1, 4, 0, 0, 4, 3, 3, 2, 4, 1, 4, 1, 1, 3, 3, 4, 4, 1, 3, 3, 0, 3, 0, 0, 0, 0, 3, 2, 4, 0, 3, 2, 0, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 2, 0, 2, 1, 1, 3, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 3, 0, 1, 1, 4, 3, 3, 0, 1, 3, 0, 1, 0, 4, 1, 3, 4, 4, 4, 4, 4, 4, 3, 3, 3, 0, 4]
pubkeycol734 = [0, 4, 1, 4, 0, 0, 4, 2, 1, 0, 4, 2, 4, 0, 2, 3, 4, 3, 2, 4, 3, 3, 1, 3, 2, 1, 1, 3, 4, 0, 0, 3, 0, 4, 0, 4, 1, 3, 3, 2, 0, 2, 1, 1, 4, 2, 2, 2, 1, 3, 0, 2, 3, 4, 0, 4, 2, 0, 3, 3, 3, 3, 0, 4, 4, 0, 0, 4, 4, 1, 3, 1, 1, 2, 3, 0, 0, 3, 1, 0, 3, 4, 0, 2, 0, 2, 3, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 4, 3, 2, 3, 1, 2, 1, 2, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 4, 4, 3, 0, 4, 3, 0, 1, 2, 3, 1, 0, 0, 2, 4, 2, 2, 2, 4, 2, 3, 3, 2, 3, 2, 4, 4, 2, 4, 4, 0, 2, 2, 2, 3, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 3, 4, 1, 1, 3, 1, 0, 2, 1, 1, 4, 2, 3, 4, 1, 4, 4, 2, 4, 3, 0, 0, 1, 1, 2, 1, 0, 2, 2, 3, 4, 2, 4, 0, 0, 4, 2, 4, 4, 4, 1, 4, 4, 1, 2, 3, 1, 1, 1, 2, 0, 0, 1, 3, 0, 4, 2, 0, 3, 4, 1, 1, 4, 4, 3, 3, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 3, 1, 1, 2, 4, 4, 2, 3, 4, 3, 2, 0, 1, 3, 2, 3, 0, 2, 0, 4, 0, 4, 0, 4, 3, 4, 0, 0, 2, 3, 1, 4, 1, 1, 3, 1, 2, 2, 4, 1, 1, 0, 3, 3, 1, 0, 3, 3, 3, 3, 2, 3, 1, 1, 0, 4, 3, 0, 1, 0, 2, 1, 0, 1, 2, 4, 0, 3, 1, 0, 2, 4, 3, 4, 1, 1, 1, 2, 3, 2, 0, 3, 4, 2, 0, 1, 1, 3, 0, 2, 4, 4, 0, 4, 1, 2, 2, 2, 2, 4, 3, 3, 3, 1, 3, 4, 2, 1, 2, 2, 3, 0, 3, 1, 0, 0, 3, 2, 0, 0, 1, 0, 2, 3, 3, 3, 3, 2, 3, 4, 0, 1, 3, 3, 1, 4, 0, 4, 0, 0, 4, 1, 4, 4, 4, 3, 3, 0, 3, 1, 2, 3, 2, 4, 2, 0, 2, 3, 4, 0, 1, 3, 2, 3, 1, 3, 4, 4, 3, 1, 0, 4, 3, 3, 2, 1, 4, 1, 1, 3, 1, 2, 1, 4, 1, 1, 1, 1, 3, 0, 4, 4, 3, 1, 4, 2, 2, 1, 4, 1, 4, 0, 1, 0, 4, 2, 4, 0, 0, 3, 1, 0, 4, 0, 2, 0, 0, 0, 0, 2, 0, 3, 2, 0, 1, 3, 4, 4, 0, 1, 0, 1, 0, 3, 0, 3, 3, 4, 2, 4, 3, 0, 3, 0, 0, 2, 2, 4, 2, 2, 0, 1, 3, 4, 0, 4]
pubkeycol735 = [4, 3, 0, 0, 4, 2, 4, 4, 1, 3, 1, 1, 4, 2, 4, 3, 1, 1, 4, 0, 4, 0, 2, 2, 3, 0, 1, 4, 1, 4, 2, 3, 4, 1, 0, 1, 0, 4, 4, 0, 3, 4, 1, 3, 2, 0, 1, 0, 2, 4, 4, 4, 1, 0, 1, 1, 1, 4, 1, 4, 0, 2, 4, 1, 1, 3, 2, 0, 3, 2, 0, 4, 2, 0, 0, 1, 3, 4, 0, 1, 0, 0, 1, 0, 4, 2, 2, 1, 4, 2, 2, 2, 0, 1, 1, 4, 4, 0, 4, 3, 3, 3, 0, 1, 0, 0, 0, 3, 0, 1, 4, 4, 1, 2, 4, 1, 3, 0, 2, 0, 3, 0, 0, 3, 0, 2, 0, 0, 2, 3, 0, 0, 1, 2, 3, 4, 1, 1, 4, 1, 0, 3, 4, 2, 4, 3, 3, 4, 1, 4, 4, 2, 2, 1, 0, 1, 2, 3, 3, 2, 4, 4, 0, 2, 1, 3, 4, 3, 4, 2, 0, 2, 2, 2, 3, 3, 1, 1, 1, 2, 1, 0, 0, 2, 2, 3, 0, 0, 3, 4, 0, 3, 0, 2, 3, 0, 1, 0, 0, 2, 4, 3, 1, 3, 4, 4, 4, 3, 1, 0, 0, 4, 0, 1, 0, 2, 4, 0, 2, 4, 0, 3, 1, 1, 2, 1, 3, 0, 0, 4, 3, 4, 2, 1, 3, 1, 3, 3, 1, 1, 4, 4, 3, 2, 2, 2, 2, 2, 3, 3, 3, 0, 1, 4, 1, 0, 1, 0, 2, 2, 4, 3, 2, 0, 0, 2, 1, 2, 0, 3, 4, 4, 3, 1, 3, 0, 4, 0, 1, 2, 2, 3, 3, 4, 1, 3, 2, 2, 2, 1, 0, 2, 3, 4, 3, 2, 4, 3, 1, 3, 4, 0, 1, 1, 3, 0, 1, 4, 0, 1, 0, 1, 2, 1, 1, 3, 1, 0, 4, 0, 3, 3, 1, 4, 2, 3, 0, 1, 4, 4, 0, 1, 1, 0, 1, 3, 1, 3, 3, 3, 3, 4, 0, 3, 0, 4, 2, 4, 3, 2, 4, 3, 4, 3, 3, 3, 4, 3, 2, 0, 4, 0, 0, 1, 4, 2, 3, 3, 3, 2, 3, 1, 0, 0, 0, 4, 2, 4, 0, 4, 0, 2, 0, 2, 0, 0, 1, 1, 2, 4, 4, 2, 4, 1, 0, 1, 4, 3, 1, 2, 0, 0, 2, 0, 2, 4, 2, 3, 3, 0, 2, 2, 4, 1, 1, 0, 1, 3, 3, 0, 1, 0, 2, 2, 4, 0, 0, 1, 4, 4, 3, 4, 3, 3, 2, 3, 0, 0, 1, 0, 1, 4, 2, 0, 1, 4, 0, 0, 3, 0, 2, 1, 2, 4, 4, 0, 1, 2, 3, 2, 4, 3, 2, 3, 1, 3, 0, 0, 0, 4, 3, 0, 4, 3, 4, 1, 0, 3, 2, 2, 1, 1, 3, 4, 2, 4, 2, 3, 3, 0, 1, 0, 4, 2, 1, 4, 1, 0, 0, 3, 2, 4, 0, 1, 2]
pubkeycol736 = [1, 1, 4, 3, 4, 3, 2, 4, 2, 2, 3, 2, 1, 1, 2, 1, 4, 4, 2, 2, 2, 0, 2, 3, 2, 4, 0, 3, 4, 2, 3, 2, 3, 2, 1, 4, 0, 4, 0, 4, 1, 3, 2, 2, 2, 0, 2, 3, 2, 1, 4, 2, 1, 4, 0, 3, 2, 2, 1, 0, 4, 1, 3, 2, 1, 4, 1, 3, 2, 3, 4, 1, 2, 1, 1, 3, 4, 0, 1, 2, 0, 3, 4, 0, 1, 4, 1, 1, 2, 3, 4, 3, 1, 4, 0, 0, 3, 4, 3, 4, 0, 2, 0, 4, 4, 0, 1, 0, 0, 4, 2, 0, 2, 1, 2, 0, 2, 4, 4, 1, 0, 2, 2, 3, 1, 4, 4, 4, 0, 2, 1, 3, 1, 1, 4, 4, 4, 0, 3, 4, 2, 1, 4, 1, 0, 1, 1, 2, 4, 2, 3, 4, 1, 4, 0, 0, 2, 1, 4, 3, 0, 3, 0, 4, 4, 2, 3, 2, 0, 4, 2, 1, 3, 2, 4, 3, 3, 0, 2, 0, 1, 0, 3, 2, 4, 0, 1, 0, 3, 2, 3, 0, 0, 4, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 3, 0, 2, 3, 1, 2, 3, 2, 4, 1, 1, 3, 2, 4, 3, 4, 0, 4, 1, 4, 1, 3, 2, 0, 3, 3, 4, 0, 2, 1, 1, 4, 1, 3, 1, 4, 3, 3, 0, 1, 4, 1, 2, 3, 2, 4, 4, 0, 3, 0, 3, 1, 4, 2, 2, 0, 4, 1, 0, 4, 1, 1, 0, 0, 1, 3, 2, 1, 3, 1, 4, 1, 4, 2, 1, 0, 3, 2, 3, 2, 1, 0, 4, 3, 2, 4, 4, 1, 0, 2, 4, 1, 0, 2, 3, 4, 3, 4, 4, 1, 2, 2, 2, 2, 3, 1, 2, 0, 2, 4, 3, 0, 1, 1, 1, 3, 1, 2, 3, 2, 1, 0, 0, 0, 1, 3, 4, 4, 3, 1, 2, 0, 2, 1, 2, 0, 1, 2, 3, 2, 2, 3, 1, 0, 0, 4, 3, 0, 0, 2, 0, 4, 4, 0, 2, 0, 4, 1, 3, 2, 4, 0, 4, 0, 4, 4, 0, 4, 2, 3, 1, 0, 1, 3, 2, 4, 3, 2, 3, 3, 0, 4, 3, 2, 0, 1, 0, 1, 4, 4, 4, 1, 4, 4, 1, 3, 2, 3, 1, 4, 2, 4, 0, 0, 2, 1, 3, 0, 1, 1, 4, 0, 3, 2, 4, 3, 1, 4, 0, 4, 3, 0, 3, 4, 0, 3, 1, 4, 3, 0, 3, 3, 4, 0, 0, 2, 2, 0, 1, 1, 1, 0, 4, 0, 2, 4, 1, 3, 4, 4, 1, 4, 0, 1, 1, 4, 1, 4, 4, 4, 4, 1, 2, 1, 4, 3, 0, 4, 4, 2, 3, 0, 3, 0, 3, 1, 2, 2, 0, 2, 1, 3, 1, 2, 3, 2, 4, 0, 2, 0, 2, 0, 1, 1, 3, 3, 4, 4, 0, 1, 1]
pubkeycol737 = [2, 0, 3, 2, 4, 3, 1, 3, 1, 3, 3, 4, 1, 3, 0, 4, 3, 3, 3, 1, 2, 4, 3, 0, 2, 2, 3, 4, 1, 1, 0, 0, 4, 3, 0, 2, 0, 3, 4, 4, 4, 3, 3, 1, 0, 3, 2, 2, 0, 0, 3, 4, 0, 2, 3, 1, 0, 4, 1, 0, 1, 4, 1, 3, 1, 1, 2, 3, 3, 2, 2, 1, 2, 3, 1, 0, 2, 1, 3, 4, 4, 4, 3, 0, 1, 2, 4, 3, 0, 4, 0, 1, 3, 2, 3, 0, 3, 3, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 4, 2, 4, 2, 4, 2, 2, 3, 0, 4, 0, 2, 0, 0, 1, 0, 4, 0, 1, 0, 4, 3, 2, 0, 2, 3, 2, 2, 1, 3, 1, 2, 1, 2, 1, 0, 0, 4, 0, 4, 4, 1, 2, 3, 2, 4, 1, 0, 1, 2, 1, 3, 4, 1, 4, 1, 4, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 3, 4, 4, 0, 4, 3, 3, 1, 2, 1, 1, 3, 1, 2, 3, 4, 2, 0, 3, 3, 3, 1, 3, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 3, 1, 0, 3, 3, 2, 2, 1, 0, 4, 4, 1, 2, 1, 0, 3, 2, 0, 0, 4, 0, 0, 0, 4, 0, 1, 2, 3, 1, 3, 0, 0, 4, 2, 1, 0, 0, 1, 4, 4, 3, 3, 1, 0, 2, 3, 0, 0, 2, 4, 3, 2, 0, 4, 4, 3, 3, 1, 1, 3, 4, 0, 0, 2, 4, 4, 2, 1, 3, 4, 0, 2, 2, 0, 2, 0, 3, 4, 4, 2, 0, 3, 0, 0, 2, 4, 4, 3, 0, 3, 4, 2, 2, 4, 2, 2, 1, 3, 2, 4, 2, 3, 3, 0, 4, 2, 2, 0, 4, 4, 0, 1, 1, 1, 3, 4, 4, 1, 3, 0, 4, 0, 4, 2, 0, 1, 1, 2, 2, 4, 3, 4, 0, 4, 2, 2, 4, 4, 1, 3, 2, 2, 3, 1, 3, 4, 3, 1, 2, 2, 1, 2, 1, 4, 1, 2, 3, 2, 2, 4, 2, 4, 3, 0, 1, 0, 4, 3, 1, 1, 0, 3, 2, 2, 3, 3, 1, 3, 4, 3, 4, 4, 2, 3, 2, 4, 4, 3, 0, 0, 1, 1, 4, 0, 3, 0, 0, 4, 3, 0, 0, 1, 2, 0, 4, 2, 3, 1, 2, 3, 0, 4, 4, 2, 0, 4, 0, 3, 3, 1, 3, 1, 2, 0, 4, 4, 3, 1, 0, 1, 4, 1, 0, 0, 2, 0, 3, 4, 2, 3, 0, 2, 0, 4, 2, 2, 2, 1, 0, 0, 4, 0, 0, 4, 0, 3, 1, 4, 2, 1, 2, 1, 3, 2, 2, 1, 3, 4, 1, 0, 4, 3, 4, 1, 1, 4, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 4]
pubkeycol738 = [2, 3, 3, 3, 2, 0, 1, 1, 3, 1, 4, 4, 0, 3, 1, 4, 0, 4, 1, 1, 1, 0, 3, 1, 2, 1, 3, 3, 2, 3, 4, 3, 0, 2, 4, 0, 1, 1, 2, 4, 4, 0, 2, 1, 4, 3, 0, 2, 3, 4, 4, 4, 4, 0, 3, 3, 4, 3, 4, 1, 4, 2, 3, 1, 1, 0, 0, 4, 3, 2, 2, 4, 1, 3, 2, 1, 4, 2, 4, 1, 2, 0, 2, 1, 4, 0, 4, 3, 2, 0, 4, 0, 0, 4, 0, 0, 3, 2, 3, 2, 4, 3, 1, 0, 3, 2, 4, 3, 1, 3, 4, 2, 1, 2, 1, 1, 1, 4, 1, 1, 3, 0, 0, 3, 1, 0, 4, 0, 4, 4, 3, 2, 4, 2, 2, 4, 1, 2, 4, 2, 3, 2, 4, 3, 3, 0, 4, 3, 4, 4, 1, 0, 2, 3, 0, 2, 1, 3, 2, 4, 1, 2, 4, 1, 2, 3, 3, 0, 1, 2, 3, 2, 0, 2, 1, 2, 3, 1, 1, 3, 1, 3, 2, 0, 0, 2, 2, 4, 2, 4, 1, 0, 4, 0, 1, 0, 0, 1, 0, 3, 2, 0, 3, 0, 2, 2, 3, 0, 3, 0, 0, 1, 2, 3, 2, 0, 4, 2, 3, 4, 0, 4, 3, 4, 0, 1, 4, 1, 3, 2, 3, 3, 0, 0, 0, 4, 2, 1, 1, 0, 3, 4, 1, 1, 3, 3, 0, 2, 2, 0, 0, 4, 3, 2, 3, 1, 3, 2, 2, 1, 1, 3, 1, 1, 0, 1, 2, 0, 2, 1, 3, 2, 2, 2, 0, 1, 0, 4, 1, 2, 3, 0, 2, 3, 3, 4, 0, 2, 0, 3, 2, 1, 0, 4, 0, 0, 1, 4, 2, 0, 0, 2, 0, 0, 2, 4, 4, 3, 1, 2, 1, 4, 4, 0, 3, 0, 1, 3, 3, 3, 2, 0, 1, 3, 2, 4, 0, 1, 0, 1, 2, 2, 2, 2, 3, 4, 1, 0, 0, 0, 4, 4, 3, 2, 0, 2, 2, 3, 2, 2, 4, 4, 0, 4, 1, 1, 2, 4, 2, 3, 3, 0, 4, 0, 3, 3, 2, 1, 4, 0, 3, 2, 4, 1, 2, 1, 4, 2, 0, 3, 0, 3, 3, 4, 2, 0, 0, 1, 0, 0, 4, 3, 2, 0, 3, 3, 0, 0, 1, 1, 2, 2, 4, 0, 1, 0, 3, 1, 2, 4, 0, 1, 4, 1, 4, 1, 1, 2, 1, 0, 0, 0, 3, 0, 1, 0, 3, 3, 0, 3, 1, 1, 4, 4, 2, 1, 1, 3, 1, 3, 3, 4, 0, 4, 1, 4, 0, 4, 4, 4, 0, 2, 1, 1, 4, 2, 3, 0, 0, 2, 1, 1, 3, 0, 3, 1, 3, 3, 2, 1, 4, 0, 4, 0, 2, 1, 4, 0, 1, 1, 3, 2, 1, 0, 2, 1, 1, 4, 1, 3, 2, 3, 1, 2, 1, 3, 1, 4, 0, 4, 1, 3, 0, 4, 0]
pubkeycol739 = [2, 2, 0, 0, 4, 0, 4, 4, 4, 2, 4, 2, 1, 1, 3, 4, 2, 0, 4, 4, 1, 3, 4, 4, 0, 4, 3, 0, 2, 3, 2, 0, 4, 3, 0, 2, 3, 3, 1, 3, 0, 0, 2, 1, 2, 4, 0, 2, 3, 1, 1, 1, 3, 4, 2, 1, 4, 4, 0, 0, 4, 4, 0, 4, 3, 0, 2, 2, 4, 0, 4, 0, 4, 3, 1, 3, 3, 4, 4, 1, 1, 0, 4, 2, 0, 4, 0, 0, 0, 2, 2, 0, 2, 2, 4, 2, 4, 3, 1, 2, 4, 3, 0, 3, 2, 3, 1, 3, 1, 4, 1, 0, 0, 2, 0, 4, 4, 1, 2, 0, 4, 4, 2, 0, 2, 2, 1, 1, 4, 4, 0, 4, 3, 1, 4, 2, 2, 2, 3, 3, 4, 1, 0, 3, 1, 3, 0, 4, 2, 4, 2, 0, 2, 4, 3, 1, 3, 1, 3, 2, 3, 4, 3, 4, 2, 2, 4, 1, 2, 1, 2, 0, 0, 4, 0, 4, 3, 2, 1, 4, 1, 2, 0, 3, 1, 4, 1, 3, 3, 2, 1, 0, 1, 2, 3, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 3, 3, 2, 0, 1, 1, 2, 4, 3, 2, 3, 0, 3, 4, 3, 2, 3, 2, 1, 3, 0, 0, 4, 1, 0, 1, 2, 0, 2, 1, 3, 4, 1, 1, 4, 3, 1, 0, 1, 3, 2, 3, 4, 1, 0, 3, 4, 4, 1, 4, 1, 1, 2, 4, 2, 4, 3, 1, 4, 2, 0, 1, 4, 2, 0, 3, 1, 1, 4, 1, 2, 0, 1, 0, 0, 0, 1, 4, 2, 2, 0, 4, 3, 3, 3, 4, 2, 4, 1, 2, 3, 2, 4, 3, 1, 2, 3, 2, 2, 3, 2, 3, 1, 4, 4, 0, 4, 2, 0, 3, 2, 0, 2, 2, 0, 1, 0, 2, 1, 3, 2, 2, 0, 4, 3, 2, 2, 3, 3, 0, 3, 2, 3, 2, 1, 4, 0, 4, 1, 1, 1, 2, 0, 0, 0, 0, 2, 4, 2, 1, 3, 0, 0, 1, 1, 0, 3, 4, 1, 3, 0, 3, 0, 2, 4, 0, 3, 1, 4, 4, 2, 3, 4, 3, 4, 2, 4, 2, 4, 2, 1, 0, 2, 3, 3, 1, 4, 2, 1, 1, 0, 1, 1, 3, 2, 1, 3, 4, 1, 0, 4, 2, 0, 0, 1, 0, 0, 4, 1, 4, 3, 0, 2, 2, 0, 1, 3, 2, 2, 1, 0, 3, 0, 1, 4, 4, 3, 3, 2, 2, 0, 3, 4, 1, 2, 2, 3, 3, 4, 0, 1, 4, 1, 3, 4, 0, 1, 3, 0, 0, 2, 0, 1, 0, 2, 0, 1, 4, 4, 2, 0, 0, 2, 3, 0, 3, 1, 2, 0, 2, 2, 0, 0, 0, 3, 1, 4, 0, 0, 3, 0, 0, 2, 0, 1, 3, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 3, 3, 3, 0]
pubkeycol740 = [2, 4, 4, 3, 3, 2, 0, 3, 1, 2, 3, 1, 0, 2, 1, 3, 0, 0, 0, 4, 2, 3, 0, 2, 3, 1, 4, 3, 3, 0, 4, 1, 1, 1, 1, 2, 0, 1, 3, 2, 0, 3, 4, 3, 4, 0, 3, 2, 1, 0, 3, 0, 1, 2, 4, 4, 4, 2, 0, 2, 4, 1, 4, 1, 1, 0, 0, 2, 2, 1, 1, 4, 4, 1, 3, 1, 3, 3, 0, 3, 4, 2, 4, 0, 1, 4, 2, 1, 3, 3, 1, 2, 1, 3, 4, 0, 2, 3, 1, 1, 4, 2, 0, 2, 2, 0, 2, 2, 2, 4, 3, 3, 1, 1, 3, 2, 1, 3, 4, 2, 3, 3, 2, 2, 0, 2, 4, 0, 2, 3, 4, 1, 0, 1, 0, 4, 0, 2, 2, 4, 3, 3, 2, 4, 0, 2, 2, 2, 4, 2, 3, 2, 0, 2, 4, 4, 1, 4, 1, 4, 1, 2, 1, 4, 4, 2, 1, 3, 4, 1, 1, 1, 2, 2, 3, 0, 0, 4, 1, 4, 4, 4, 3, 3, 0, 4, 3, 2, 1, 1, 1, 3, 3, 1, 3, 4, 2, 3, 2, 4, 2, 2, 2, 4, 4, 3, 2, 2, 4, 0, 1, 1, 4, 3, 0, 0, 2, 1, 4, 2, 2, 1, 3, 1, 1, 4, 2, 1, 1, 3, 1, 4, 3, 4, 2, 2, 1, 1, 0, 2, 0, 2, 4, 1, 4, 1, 2, 3, 1, 0, 2, 0, 0, 3, 3, 3, 2, 2, 0, 2, 2, 2, 4, 1, 2, 4, 0, 3, 1, 1, 4, 4, 0, 4, 1, 2, 4, 0, 1, 3, 0, 0, 1, 3, 0, 1, 3, 0, 0, 4, 2, 1, 0, 4, 2, 1, 3, 2, 0, 3, 3, 4, 3, 3, 0, 2, 1, 3, 2, 2, 0, 4, 0, 3, 0, 2, 4, 1, 4, 1, 1, 4, 4, 3, 0, 1, 2, 0, 4, 1, 1, 0, 4, 2, 0, 3, 2, 4, 1, 2, 2, 4, 0, 1, 2, 4, 4, 1, 3, 3, 2, 1, 4, 0, 0, 1, 4, 4, 2, 3, 2, 2, 4, 0, 4, 1, 2, 4, 2, 1, 0, 2, 4, 0, 2, 2, 2, 3, 3, 4, 3, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 4, 2, 1, 3, 0, 1, 2, 1, 0, 4, 1, 0, 4, 2, 0, 0, 1, 3, 1, 2, 1, 1, 1, 0, 3, 2, 4, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 4, 4, 1, 1, 0, 3, 2, 2, 4, 3, 3, 3, 2, 2, 0, 4, 3, 2, 1, 1, 4, 3, 0, 1, 1, 3, 2, 4, 3, 0, 4, 4, 3, 2, 0, 0, 3, 2, 2, 1, 1, 2, 3, 2, 3, 3, 0, 0, 4, 1, 4, 3, 1, 2, 1, 2, 4, 0, 3, 1, 1, 3, 2, 1, 3, 2, 0, 3, 1, 1, 3, 4, 2]
pubkeycol741 = [0, 4, 3, 2, 0, 1, 4, 1, 3, 0, 3, 1, 4, 3, 1, 1, 0, 4, 1, 2, 2, 0, 4, 2, 3, 2, 1, 2, 0, 2, 4, 2, 2, 0, 2, 2, 3, 4, 1, 4, 0, 1, 4, 2, 1, 4, 4, 4, 2, 3, 1, 3, 3, 0, 0, 3, 3, 0, 2, 3, 1, 4, 4, 4, 1, 4, 4, 1, 4, 3, 0, 4, 3, 1, 2, 2, 1, 3, 2, 2, 1, 3, 0, 0, 3, 4, 3, 0, 3, 4, 3, 4, 3, 0, 1, 3, 1, 1, 3, 4, 0, 2, 2, 2, 2, 1, 1, 2, 2, 3, 2, 0, 1, 4, 1, 3, 3, 3, 4, 0, 2, 4, 4, 4, 1, 3, 0, 4, 2, 4, 4, 2, 0, 1, 3, 0, 0, 3, 0, 0, 3, 1, 3, 2, 4, 0, 3, 4, 1, 2, 4, 2, 1, 2, 4, 1, 2, 2, 1, 1, 3, 4, 3, 1, 2, 4, 4, 0, 2, 2, 2, 3, 3, 4, 3, 4, 1, 4, 4, 0, 4, 3, 1, 2, 4, 1, 4, 0, 3, 1, 1, 2, 4, 1, 2, 1, 0, 3, 4, 3, 3, 4, 2, 4, 1, 4, 2, 1, 1, 2, 0, 0, 3, 1, 0, 3, 2, 4, 1, 3, 2, 1, 2, 4, 3, 0, 2, 1, 2, 2, 3, 2, 1, 0, 3, 0, 3, 1, 4, 2, 0, 4, 2, 1, 2, 4, 3, 1, 2, 2, 0, 2, 3, 2, 3, 2, 2, 4, 4, 4, 2, 0, 1, 0, 4, 1, 1, 3, 2, 3, 3, 3, 3, 2, 0, 0, 2, 4, 0, 2, 3, 1, 1, 0, 3, 4, 1, 4, 2, 2, 4, 1, 4, 2, 2, 2, 4, 4, 2, 4, 4, 1, 4, 0, 4, 2, 2, 1, 0, 0, 4, 1, 3, 3, 4, 2, 1, 0, 2, 3, 0, 4, 1, 0, 2, 0, 2, 3, 2, 0, 2, 4, 2, 0, 4, 3, 4, 1, 0, 2, 3, 2, 0, 2, 3, 3, 1, 3, 2, 1, 0, 0, 2, 3, 3, 3, 3, 0, 0, 1, 1, 4, 4, 0, 2, 0, 4, 4, 2, 2, 3, 0, 4, 2, 0, 4, 2, 4, 0, 2, 4, 3, 1, 4, 3, 0, 4, 1, 4, 0, 3, 1, 3, 2, 1, 3, 1, 0, 4, 1, 3, 3, 1, 4, 0, 3, 1, 4, 0, 1, 3, 3, 0, 2, 0, 1, 2, 2, 0, 3, 0, 2, 2, 1, 1, 4, 2, 4, 3, 4, 4, 2, 1, 4, 0, 4, 2, 2, 2, 4, 2, 1, 4, 1, 1, 3, 2, 4, 1, 0, 2, 1, 4, 3, 4, 2, 0, 1, 4, 4, 2, 0, 3, 1, 0, 2, 0, 2, 3, 3, 2, 4, 2, 1, 0, 2, 3, 2, 0, 1, 1, 1, 1, 2, 0, 2, 3, 2, 4, 1, 2, 2, 0, 0, 4, 3, 4, 0, 0, 0, 4, 1, 4, 1, 3]
pubkeycol742 = [1, 3, 1, 4, 0, 0, 0, 0, 3, 2, 1, 3, 2, 4, 3, 2, 3, 1, 2, 0, 0, 4, 1, 1, 0, 2, 3, 1, 0, 1, 3, 3, 3, 0, 0, 3, 4, 3, 1, 4, 0, 1, 1, 4, 3, 2, 0, 3, 0, 0, 4, 0, 3, 0, 0, 3, 3, 4, 1, 3, 2, 1, 2, 4, 4, 1, 4, 2, 3, 0, 2, 1, 4, 4, 2, 4, 3, 4, 4, 2, 4, 2, 0, 2, 2, 0, 4, 1, 0, 4, 2, 4, 2, 1, 3, 1, 3, 4, 3, 1, 4, 4, 0, 1, 2, 2, 3, 1, 1, 3, 1, 0, 1, 0, 0, 1, 2, 0, 3, 3, 3, 4, 4, 3, 3, 2, 3, 4, 4, 1, 3, 3, 3, 1, 4, 1, 0, 3, 1, 1, 2, 1, 4, 2, 1, 1, 0, 2, 3, 1, 1, 2, 0, 3, 4, 2, 0, 4, 4, 2, 1, 3, 4, 0, 0, 4, 1, 4, 3, 0, 2, 3, 0, 3, 4, 1, 3, 3, 3, 3, 1, 0, 3, 4, 3, 1, 1, 4, 1, 0, 2, 4, 1, 2, 4, 3, 3, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 3, 0, 2, 3, 1, 4, 1, 2, 4, 4, 0, 1, 3, 1, 0, 4, 1, 2, 3, 1, 2, 2, 1, 0, 2, 4, 0, 4, 4, 4, 0, 2, 1, 1, 1, 0, 2, 1, 1, 3, 3, 2, 1, 3, 3, 3, 0, 0, 4, 1, 0, 3, 0, 3, 2, 0, 4, 4, 3, 4, 4, 3, 3, 4, 3, 0, 4, 4, 4, 2, 1, 2, 4, 4, 0, 3, 4, 1, 3, 2, 2, 2, 0, 4, 3, 0, 4, 1, 3, 1, 2, 4, 0, 1, 1, 4, 3, 4, 3, 2, 4, 2, 0, 1, 4, 2, 1, 0, 4, 3, 2, 3, 3, 0, 3, 2, 2, 4, 1, 4, 3, 4, 0, 2, 3, 3, 0, 2, 0, 4, 2, 1, 1, 4, 2, 0, 2, 3, 3, 1, 2, 2, 0, 1, 2, 0, 4, 3, 2, 3, 2, 4, 2, 4, 4, 3, 3, 1, 2, 4, 0, 2, 1, 1, 3, 4, 0, 1, 1, 1, 3, 2, 1, 1, 3, 0, 3, 2, 4, 3, 4, 2, 3, 3, 2, 2, 4, 4, 0, 2, 2, 2, 2, 4, 2, 3, 0, 0, 1, 3, 1, 2, 2, 2, 4, 1, 4, 4, 3, 0, 1, 2, 1, 1, 3, 2, 0, 4, 0, 1, 1, 4, 2, 2, 2, 4, 0, 1, 4, 1, 1, 2, 3, 1, 4, 0, 1, 3, 4, 4, 1, 1, 3, 2, 1, 3, 2, 2, 3, 0, 1, 4, 2, 0, 4, 4, 0, 4, 1, 2, 1, 3, 3, 3, 0, 2, 0, 0, 3, 4, 1, 0, 2, 2, 0, 2, 3, 1, 4, 1, 4, 1, 2, 3, 0, 3, 2, 4, 3, 4, 0, 0, 4, 0, 1, 0, 1, 1]
pubkeycol743 = [0, 3, 0, 2, 0, 0, 2, 2, 3, 4, 0, 0, 3, 4, 0, 2, 1, 1, 3, 3, 1, 1, 3, 4, 3, 1, 2, 0, 0, 4, 2, 0, 0, 2, 3, 3, 1, 2, 3, 0, 2, 3, 1, 2, 4, 3, 0, 4, 3, 4, 0, 1, 3, 4, 0, 1, 3, 3, 1, 0, 0, 3, 4, 4, 1, 3, 1, 3, 4, 1, 0, 0, 2, 1, 0, 2, 2, 0, 3, 4, 0, 2, 3, 3, 2, 1, 2, 1, 4, 3, 3, 3, 2, 3, 1, 2, 1, 4, 1, 4, 4, 2, 2, 2, 1, 4, 1, 1, 4, 2, 0, 1, 0, 0, 3, 2, 1, 3, 4, 2, 4, 4, 3, 3, 4, 3, 3, 4, 3, 3, 2, 2, 2, 4, 2, 0, 0, 0, 1, 0, 1, 1, 4, 4, 1, 2, 3, 1, 4, 4, 4, 3, 4, 3, 4, 0, 3, 2, 3, 4, 2, 3, 0, 4, 2, 3, 2, 0, 1, 3, 4, 3, 3, 0, 2, 1, 4, 2, 1, 0, 4, 0, 2, 1, 1, 2, 3, 2, 2, 0, 1, 2, 0, 4, 0, 0, 3, 3, 4, 4, 0, 2, 4, 4, 3, 2, 3, 2, 2, 3, 4, 3, 2, 3, 0, 0, 0, 2, 4, 4, 4, 2, 0, 2, 3, 4, 2, 3, 1, 3, 2, 2, 0, 0, 3, 4, 0, 3, 4, 0, 4, 4, 0, 2, 1, 3, 2, 4, 4, 1, 3, 0, 3, 4, 3, 2, 2, 3, 1, 3, 2, 3, 2, 3, 2, 1, 2, 0, 4, 0, 0, 2, 3, 1, 2, 0, 3, 1, 4, 4, 4, 3, 3, 2, 4, 3, 2, 0, 0, 2, 3, 0, 3, 2, 3, 4, 1, 0, 0, 1, 1, 4, 1, 2, 1, 4, 3, 1, 1, 4, 2, 2, 2, 0, 2, 2, 2, 0, 0, 4, 2, 2, 0, 3, 1, 2, 1, 0, 2, 0, 3, 2, 0, 1, 0, 1, 3, 4, 4, 0, 3, 2, 3, 1, 0, 0, 2, 2, 2, 4, 3, 4, 4, 1, 1, 2, 2, 4, 0, 4, 3, 1, 4, 0, 0, 0, 1, 4, 2, 3, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 3, 2, 3, 3, 0, 2, 1, 0, 3, 3, 1, 3, 2, 4, 1, 1, 1, 4, 3, 2, 2, 2, 0, 4, 1, 2, 0, 0, 2, 4, 4, 3, 2, 2, 1, 1, 3, 0, 2, 3, 4, 4, 4, 1, 4, 3, 1, 1, 3, 3, 0, 0, 3, 3, 4, 0, 3, 4, 3, 4, 4, 4, 1, 3, 0, 1, 3, 0, 3, 2, 4, 2, 1, 0, 1, 1, 0, 3, 1, 2, 4, 0, 2, 1, 2, 0, 2, 4, 3, 3, 0, 3, 2, 4, 3, 4, 2, 3, 1, 0, 4, 2, 0, 0, 4, 0, 3, 4, 2, 4, 2, 2, 3, 0, 1, 1, 0, 0, 4, 2, 2, 4, 0, 1]
pubkeycol744 = [1, 4, 4, 0, 1, 1, 4, 0, 1, 4, 0, 1, 1, 0, 3, 0, 2, 1, 2, 2, 3, 1, 2, 1, 4, 0, 3, 3, 1, 3, 1, 0, 2, 3, 3, 4, 2, 3, 2, 0, 3, 2, 2, 4, 1, 1, 2, 1, 3, 4, 0, 0, 1, 3, 3, 0, 0, 2, 1, 2, 3, 2, 2, 4, 1, 0, 4, 2, 0, 4, 2, 0, 2, 1, 1, 4, 2, 0, 3, 0, 4, 3, 2, 3, 0, 4, 4, 0, 4, 4, 2, 4, 3, 4, 2, 1, 1, 3, 4, 4, 1, 0, 4, 3, 1, 2, 0, 1, 3, 2, 4, 2, 4, 0, 0, 0, 4, 2, 3, 1, 4, 3, 3, 1, 0, 3, 1, 0, 4, 0, 0, 0, 3, 3, 3, 2, 1, 1, 4, 1, 4, 4, 2, 2, 2, 2, 0, 4, 3, 4, 1, 1, 1, 1, 1, 3, 2, 0, 1, 0, 1, 1, 4, 0, 4, 4, 3, 1, 3, 3, 1, 4, 0, 2, 4, 1, 4, 2, 4, 4, 2, 3, 4, 1, 4, 4, 4, 0, 4, 2, 3, 2, 3, 3, 2, 3, 1, 0, 3, 4, 0, 3, 3, 1, 0, 2, 2, 0, 0, 2, 2, 4, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 3, 0, 4, 1, 0, 2, 3, 0, 1, 2, 1, 1, 2, 0, 4, 3, 4, 4, 1, 3, 3, 3, 1, 4, 0, 4, 3, 0, 3, 4, 4, 3, 3, 3, 2, 1, 1, 1, 3, 0, 3, 1, 4, 3, 2, 4, 2, 1, 4, 4, 2, 3, 3, 2, 3, 3, 1, 0, 3, 4, 2, 1, 4, 4, 3, 3, 4, 4, 4, 1, 2, 0, 0, 1, 0, 2, 3, 2, 3, 2, 4, 1, 2, 1, 4, 4, 2, 1, 1, 2, 4, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 3, 1, 2, 4, 4, 4, 0, 0, 2, 4, 0, 4, 0, 2, 0, 1, 4, 0, 4, 0, 4, 2, 4, 2, 0, 1, 2, 1, 2, 4, 4, 2, 0, 0, 0, 2, 3, 0, 3, 3, 4, 3, 3, 1, 1, 0, 2, 3, 4, 0, 3, 2, 4, 1, 1, 4, 1, 1, 0, 4, 2, 1, 3, 2, 1, 4, 4, 4, 4, 4, 1, 1, 4, 1, 0, 3, 3, 2, 1, 3, 0, 0, 4, 1, 1, 3, 2, 4, 3, 4, 0, 0, 1, 1, 1, 3, 4, 0, 0, 2, 1, 3, 3, 1, 4, 1, 4, 2, 2, 4, 3, 3, 0, 0, 4, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 3, 0, 4, 3, 2, 1, 0, 3, 0, 0, 0, 1, 1, 1, 3, 0, 1, 3, 2, 1, 0, 0, 1, 3, 3, 3, 1, 4, 4, 2, 4, 3, 2, 2, 2, 4, 3, 3, 0, 2, 2, 0, 0, 2, 1, 3, 4, 4, 4, 0, 0]
pubkeycol745 = [3, 0, 1, 1, 4, 3, 2, 4, 3, 2, 4, 0, 0, 1, 4, 2, 0, 3, 4, 3, 0, 1, 1, 3, 2, 2, 0, 0, 0, 4, 4, 3, 2, 4, 4, 4, 4, 4, 1, 3, 4, 2, 4, 3, 2, 0, 1, 0, 3, 4, 2, 1, 0, 2, 3, 3, 1, 3, 3, 2, 0, 3, 4, 0, 3, 4, 3, 0, 2, 4, 4, 0, 2, 3, 4, 0, 3, 4, 1, 0, 0, 4, 0, 0, 0, 0, 3, 2, 1, 0, 3, 1, 2, 1, 3, 0, 3, 1, 3, 4, 3, 3, 2, 0, 1, 0, 4, 3, 4, 2, 0, 4, 2, 0, 4, 1, 0, 2, 4, 3, 3, 4, 3, 2, 1, 3, 0, 1, 0, 2, 4, 4, 0, 4, 4, 3, 1, 0, 2, 3, 1, 1, 2, 2, 2, 2, 2, 0, 3, 1, 3, 2, 0, 4, 3, 2, 4, 2, 2, 2, 1, 3, 4, 3, 2, 1, 4, 2, 2, 3, 1, 3, 4, 2, 3, 2, 0, 2, 0, 0, 1, 0, 1, 3, 3, 1, 2, 2, 1, 1, 3, 1, 1, 1, 1, 2, 2, 1, 4, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 3, 2, 1, 0, 2, 3, 2, 0, 0, 2, 2, 4, 4, 1, 2, 4, 0, 1, 3, 2, 2, 4, 2, 1, 4, 2, 2, 3, 1, 3, 4, 4, 2, 1, 1, 0, 2, 2, 3, 0, 3, 2, 3, 1, 0, 0, 0, 2, 4, 4, 3, 3, 2, 1, 3, 4, 3, 1, 0, 4, 3, 0, 1, 0, 3, 4, 1, 4, 0, 4, 3, 0, 3, 3, 2, 1, 1, 0, 1, 0, 4, 4, 2, 2, 3, 0, 2, 0, 0, 1, 1, 4, 1, 3, 3, 3, 1, 4, 1, 1, 1, 0, 3, 1, 3, 3, 4, 4, 3, 4, 2, 0, 4, 2, 4, 4, 0, 4, 3, 4, 4, 4, 0, 0, 1, 4, 4, 3, 1, 3, 1, 1, 1, 2, 0, 3, 0, 4, 4, 2, 3, 4, 3, 3, 2, 0, 1, 2, 4, 4, 3, 2, 0, 1, 1, 4, 1, 3, 2, 0, 3, 3, 2, 4, 0, 1, 0, 4, 3, 4, 3, 1, 2, 3, 4, 1, 4, 2, 3, 3, 3, 4, 3, 2, 2, 0, 1, 3, 4, 2, 4, 1, 2, 1, 2, 0, 1, 1, 0, 3, 2, 0, 4, 4, 1, 3, 2, 3, 4, 4, 0, 1, 1, 3, 3, 4, 2, 4, 0, 4, 0, 0, 1, 1, 3, 3, 2, 4, 2, 0, 0, 0, 4, 3, 2, 1, 3, 1, 4, 0, 0, 0, 0, 4, 3, 0, 1, 2, 2, 4, 2, 3, 3, 4, 3, 3, 1, 4, 3, 1, 2, 1, 1, 3, 1, 3, 3, 2, 2, 4, 0, 2, 1, 4, 1, 4, 4, 1, 4, 1, 2, 0, 0, 3, 3, 3, 1, 2, 4, 2, 4, 1, 3, 3, 2]
pubkeycol746 = [0, 3, 2, 3, 3, 2, 4, 3, 0, 4, 4, 0, 4, 2, 2, 3, 4, 1, 0, 0, 3, 1, 4, 0, 3, 4, 1, 1, 3, 3, 4, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 4, 2, 4, 2, 1, 0, 0, 0, 2, 3, 1, 1, 4, 3, 0, 3, 1, 0, 4, 0, 2, 2, 3, 4, 0, 0, 0, 2, 2, 0, 2, 1, 1, 3, 3, 2, 2, 3, 0, 4, 1, 1, 0, 4, 1, 1, 0, 2, 3, 3, 1, 4, 3, 0, 4, 4, 4, 1, 3, 0, 4, 2, 1, 3, 4, 1, 4, 3, 4, 0, 0, 0, 3, 4, 2, 4, 3, 3, 4, 0, 0, 0, 2, 0, 4, 0, 2, 4, 4, 2, 2, 2, 1, 1, 4, 2, 3, 1, 2, 0, 1, 4, 1, 3, 1, 3, 1, 3, 2, 0, 1, 2, 0, 4, 2, 2, 0, 2, 0, 1, 2, 3, 1, 1, 1, 2, 2, 3, 2, 2, 0, 0, 0, 4, 4, 3, 2, 2, 3, 4, 0, 2, 3, 4, 4, 4, 3, 0, 0, 2, 1, 4, 1, 0, 0, 3, 4, 0, 4, 2, 4, 1, 2, 1, 3, 0, 3, 1, 1, 3, 2, 4, 2, 2, 1, 2, 3, 0, 2, 0, 2, 3, 2, 4, 3, 3, 3, 1, 4, 2, 4, 3, 1, 2, 4, 3, 3, 3, 4, 2, 3, 1, 1, 0, 4, 4, 3, 2, 3, 2, 1, 1, 1, 3, 4, 2, 3, 1, 1, 0, 3, 0, 1, 0, 2, 2, 4, 1, 3, 4, 1, 3, 4, 1, 1, 0, 0, 0, 4, 4, 2, 3, 1, 4, 3, 1, 4, 0, 2, 3, 2, 2, 2, 0, 3, 2, 0, 4, 3, 2, 1, 0, 0, 0, 3, 2, 1, 0, 1, 2, 4, 1, 1, 0, 1, 1, 2, 0, 1, 4, 0, 3, 4, 3, 2, 3, 0, 3, 1, 4, 1, 0, 2, 3, 3, 1, 3, 3, 1, 4, 3, 1, 0, 1, 3, 0, 0, 2, 3, 0, 0, 3, 4, 0, 3, 1, 2, 3, 4, 1, 3, 1, 3, 0, 4, 2, 1, 4, 1, 4, 2, 0, 0, 2, 1, 3, 2, 0, 1, 0, 2, 3, 2, 0, 2, 2, 2, 2, 1, 3, 2, 0, 1, 4, 3, 1, 3, 1, 4, 4, 1, 2, 2, 0, 3, 0, 2, 2, 2, 3, 2, 4, 4, 4, 1, 4, 1, 4, 1, 4, 3, 4, 3, 0, 4, 0, 0, 4, 0, 0, 1, 4, 1, 1, 3, 1, 0, 4, 3, 2, 4, 4, 1, 4, 3, 2, 1, 3, 0, 0, 0, 0, 3, 3, 3, 4, 1, 1, 1, 0, 0, 1, 2, 3, 4, 4, 1, 0, 4, 2, 1, 2, 0, 1, 1, 1, 3, 0, 3, 3, 3, 3, 1, 2, 0, 3, 4, 1, 4, 0, 2, 4, 1, 3, 0, 0, 2, 1, 3, 2, 1, 2, 4, 0]
pubkeycol747 = [0, 2, 1, 0, 1, 0, 3, 4, 3, 3, 4, 2, 2, 4, 3, 1, 3, 3, 2, 3, 0, 2, 4, 4, 2, 3, 1, 0, 0, 4, 0, 4, 0, 4, 2, 3, 4, 0, 1, 1, 4, 2, 0, 4, 0, 2, 0, 0, 0, 2, 4, 4, 2, 4, 3, 4, 1, 0, 4, 4, 4, 3, 2, 1, 2, 1, 1, 0, 1, 2, 3, 1, 3, 1, 1, 3, 2, 2, 1, 0, 2, 4, 2, 1, 0, 0, 1, 0, 1, 4, 0, 1, 4, 4, 3, 1, 1, 2, 2, 1, 4, 3, 4, 0, 3, 4, 3, 4, 0, 1, 0, 1, 3, 3, 0, 1, 0, 0, 4, 4, 0, 3, 2, 0, 3, 0, 4, 1, 1, 1, 2, 3, 0, 2, 0, 3, 0, 0, 0, 4, 4, 1, 1, 1, 2, 4, 4, 4, 4, 3, 3, 2, 1, 2, 3, 1, 4, 3, 4, 1, 3, 2, 0, 4, 1, 4, 0, 4, 3, 3, 0, 1, 1, 3, 1, 2, 2, 2, 0, 3, 1, 2, 0, 3, 0, 4, 0, 4, 1, 4, 0, 4, 0, 1, 2, 2, 4, 0, 0, 4, 1, 1, 3, 2, 3, 0, 2, 0, 2, 1, 0, 3, 2, 0, 4, 2, 3, 2, 0, 0, 3, 1, 3, 2, 2, 4, 4, 1, 4, 4, 3, 4, 1, 3, 0, 3, 3, 2, 1, 1, 3, 3, 0, 3, 0, 0, 2, 1, 1, 1, 2, 3, 3, 0, 0, 4, 3, 2, 0, 2, 4, 0, 3, 1, 4, 0, 1, 2, 1, 3, 1, 2, 3, 0, 4, 0, 4, 4, 1, 2, 1, 1, 4, 4, 2, 2, 0, 2, 0, 4, 1, 1, 4, 2, 4, 2, 4, 0, 4, 0, 0, 2, 4, 0, 1, 1, 2, 3, 2, 3, 2, 3, 0, 1, 0, 4, 1, 1, 2, 4, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 3, 2, 2, 0, 0, 0, 0, 4, 4, 3, 3, 3, 4, 2, 3, 3, 2, 0, 3, 0, 4, 4, 2, 0, 3, 3, 3, 3, 1, 3, 3, 4, 4, 3, 0, 3, 1, 0, 2, 1, 2, 2, 3, 4, 1, 2, 1, 4, 2, 4, 3, 0, 1, 3, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 1, 1, 4, 1, 2, 4, 4, 2, 2, 0, 4, 0, 2, 4, 2, 3, 1, 2, 4, 4, 0, 3, 4, 0, 1, 0, 0, 0, 1, 2, 3, 4, 2, 4, 4, 2, 0, 2, 0, 0, 4, 4, 3, 2, 2, 4, 3, 0, 2, 4, 3, 3, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 3, 0, 4, 2, 0, 3, 3, 0, 4, 4, 0, 0, 2, 2, 0, 1, 2, 3, 2, 4, 0, 2, 3, 0, 3, 0, 4, 3, 3, 3, 2, 3, 3, 4, 1, 0, 2, 2, 3, 0, 3, 3, 4, 3, 1, 2, 1, 0]
pubkeycol748 = [1, 0, 4, 2, 4, 0, 3, 1, 3, 3, 0, 3, 1, 1, 1, 0, 0, 4, 0, 4, 2, 2, 1, 2, 3, 0, 3, 0, 1, 0, 4, 4, 4, 2, 0, 0, 4, 2, 2, 3, 3, 1, 2, 4, 4, 2, 2, 0, 4, 2, 4, 1, 1, 0, 1, 3, 2, 1, 2, 4, 4, 4, 0, 4, 4, 3, 1, 1, 3, 0, 1, 0, 3, 1, 0, 3, 2, 2, 0, 3, 3, 0, 2, 3, 4, 0, 0, 4, 0, 4, 2, 1, 3, 1, 1, 3, 4, 3, 3, 2, 2, 0, 2, 4, 3, 0, 4, 3, 1, 3, 2, 1, 1, 3, 4, 0, 1, 2, 1, 1, 1, 4, 4, 3, 0, 0, 2, 4, 0, 2, 0, 2, 2, 3, 3, 2, 4, 0, 3, 1, 1, 0, 3, 3, 3, 1, 4, 3, 2, 1, 4, 3, 0, 3, 3, 1, 0, 2, 1, 3, 3, 3, 1, 4, 0, 0, 1, 2, 4, 3, 3, 3, 4, 0, 3, 1, 4, 0, 4, 0, 4, 1, 2, 2, 1, 4, 0, 3, 1, 1, 4, 0, 1, 3, 2, 4, 3, 0, 2, 2, 3, 0, 2, 1, 0, 3, 1, 0, 3, 1, 3, 0, 2, 4, 4, 2, 1, 2, 2, 1, 1, 4, 0, 4, 0, 3, 0, 1, 1, 4, 0, 4, 0, 4, 2, 1, 0, 3, 0, 2, 3, 3, 3, 3, 4, 3, 1, 2, 2, 0, 2, 4, 4, 3, 2, 3, 2, 4, 4, 1, 4, 1, 4, 0, 1, 1, 3, 0, 2, 2, 4, 0, 3, 3, 2, 1, 4, 3, 4, 3, 0, 3, 1, 1, 3, 2, 4, 2, 1, 1, 2, 3, 2, 1, 4, 3, 0, 3, 1, 3, 1, 2, 3, 4, 4, 2, 4, 3, 2, 1, 2, 3, 2, 2, 4, 3, 1, 4, 2, 4, 4, 0, 3, 3, 2, 4, 4, 1, 4, 4, 3, 2, 2, 1, 2, 0, 0, 0, 4, 0, 2, 3, 2, 3, 4, 1, 4, 1, 1, 0, 4, 2, 0, 1, 4, 3, 4, 3, 1, 0, 2, 1, 4, 2, 1, 4, 2, 4, 1, 4, 0, 4, 3, 2, 1, 0, 4, 3, 2, 4, 3, 2, 1, 4, 2, 2, 1, 0, 2, 4, 0, 3, 3, 3, 2, 1, 2, 3, 2, 4, 0, 0, 2, 1, 4, 0, 1, 4, 3, 0, 3, 2, 0, 2, 2, 3, 4, 4, 1, 1, 1, 1, 3, 0, 1, 1, 2, 2, 0, 4, 0, 2, 0, 1, 0, 1, 4, 2, 3, 1, 2, 3, 0, 3, 1, 3, 0, 1, 2, 2, 3, 3, 2, 4, 1, 0, 4, 1, 4, 1, 1, 3, 1, 2, 2, 0, 1, 0, 2, 3, 2, 0, 4, 1, 2, 4, 1, 4, 0, 4, 2, 3, 1, 3, 2, 2, 0, 2, 0, 4, 3, 1, 0, 1, 2, 0, 1, 0, 4, 1, 4, 0, 3, 4, 0]
pubkeycol749 = [0, 0, 2, 3, 4, 3, 3, 0, 4, 1, 2, 2, 2, 3, 1, 3, 4, 0, 0, 3, 0, 2, 2, 1, 3, 4, 0, 1, 4, 3, 0, 0, 2, 0, 4, 0, 3, 2, 2, 0, 3, 2, 2, 4, 2, 0, 1, 2, 0, 0, 3, 4, 1, 2, 3, 4, 3, 2, 2, 1, 3, 2, 3, 4, 4, 0, 1, 0, 3, 2, 0, 0, 4, 0, 0, 2, 1, 4, 3, 2, 1, 2, 3, 3, 2, 3, 3, 1, 2, 3, 0, 2, 4, 3, 0, 1, 2, 0, 3, 1, 1, 1, 2, 3, 4, 4, 4, 3, 2, 4, 3, 3, 2, 0, 0, 3, 4, 3, 2, 2, 2, 4, 0, 2, 3, 4, 2, 3, 4, 0, 2, 4, 1, 0, 1, 4, 0, 4, 4, 0, 1, 4, 4, 1, 1, 1, 0, 2, 4, 0, 2, 2, 1, 1, 0, 1, 4, 1, 4, 2, 0, 1, 0, 3, 2, 1, 0, 4, 0, 3, 4, 0, 0, 3, 3, 4, 3, 2, 2, 2, 3, 2, 1, 3, 2, 3, 0, 2, 1, 1, 2, 4, 3, 2, 0, 3, 3, 2, 3, 0, 4, 3, 0, 1, 3, 2, 1, 2, 0, 1, 4, 4, 4, 4, 1, 0, 2, 0, 1, 3, 3, 4, 0, 2, 4, 1, 4, 1, 3, 2, 4, 2, 4, 2, 1, 2, 2, 2, 1, 1, 2, 3, 2, 2, 3, 3, 2, 0, 0, 0, 4, 0, 4, 2, 1, 0, 1, 0, 3, 3, 3, 4, 3, 3, 2, 4, 2, 2, 1, 3, 2, 1, 1, 3, 4, 4, 3, 2, 2, 1, 2, 2, 0, 0, 4, 4, 0, 3, 0, 3, 1, 1, 0, 2, 3, 2, 3, 3, 4, 2, 1, 2, 0, 4, 3, 4, 3, 3, 1, 0, 3, 3, 4, 2, 4, 3, 4, 2, 0, 1, 4, 2, 1, 4, 3, 3, 4, 4, 1, 2, 3, 4, 4, 4, 1, 3, 0, 2, 1, 4, 0, 0, 0, 0, 1, 0, 2, 3, 0, 1, 0, 4, 1, 1, 1, 3, 2, 2, 1, 1, 4, 2, 2, 2, 2, 0, 3, 4, 3, 1, 3, 1, 3, 0, 1, 1, 1, 3, 0, 2, 3, 0, 0, 1, 0, 0, 2, 2, 4, 0, 0, 0, 3, 0, 4, 3, 3, 0, 2, 4, 0, 2, 4, 0, 1, 3, 4, 1, 0, 1, 2, 0, 2, 3, 3, 4, 3, 4, 2, 4, 1, 0, 4, 3, 0, 4, 4, 2, 0, 2, 2, 0, 3, 2, 0, 2, 3, 4, 3, 4, 3, 0, 0, 4, 1, 3, 4, 2, 2, 0, 0, 2, 0, 1, 2, 4, 0, 3, 2, 1, 3, 3, 4, 3, 0, 0, 3, 3, 2, 4, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 4, 4, 4, 1, 1, 2, 1, 4, 3, 0, 2, 4, 4, 0, 4, 2, 3, 3, 1, 1, 0, 3, 2, 0]
pubkeycol750 = [0, 0, 2, 2, 4, 1, 3, 4, 2, 2, 1, 0, 3, 3, 2, 0, 0, 4, 1, 4, 3, 1, 0, 0, 0, 3, 1, 3, 2, 4, 4, 1, 3, 1, 2, 2, 1, 2, 3, 4, 1, 3, 3, 1, 3, 3, 2, 4, 2, 2, 4, 4, 2, 3, 0, 3, 4, 2, 3, 1, 4, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 3, 0, 2, 1, 0, 4, 3, 3, 0, 0, 3, 3, 2, 0, 3, 1, 0, 3, 4, 4, 0, 3, 4, 3, 3, 3, 0, 2, 4, 0, 3, 3, 1, 2, 0, 4, 4, 4, 1, 4, 1, 3, 2, 4, 0, 3, 4, 4, 4, 0, 2, 4, 1, 4, 3, 2, 1, 3, 1, 3, 4, 2, 3, 3, 4, 0, 1, 1, 3, 0, 2, 0, 2, 0, 3, 3, 4, 1, 2, 0, 1, 0, 3, 0, 3, 2, 0, 0, 3, 2, 4, 4, 0, 0, 1, 2, 2, 0, 3, 2, 0, 3, 1, 3, 1, 3, 3, 0, 0, 3, 1, 2, 2, 0, 4, 4, 1, 0, 2, 0, 0, 1, 2, 1, 4, 4, 2, 3, 3, 1, 1, 3, 4, 2, 1, 2, 0, 4, 1, 2, 2, 4, 1, 2, 4, 3, 0, 4, 2, 3, 0, 0, 3, 0, 2, 0, 1, 4, 4, 2, 2, 0, 0, 3, 0, 4, 3, 3, 2, 0, 1, 4, 3, 4, 1, 3, 4, 3, 0, 3, 1, 2, 4, 4, 3, 2, 2, 3, 3, 1, 0, 3, 1, 1, 2, 4, 2, 4, 3, 4, 4, 3, 1, 1, 3, 4, 2, 1, 1, 4, 0, 3, 1, 4, 0, 0, 3, 1, 1, 2, 0, 2, 1, 4, 1, 2, 2, 1, 1, 4, 0, 4, 4, 4, 4, 3, 0, 3, 1, 0, 1, 1, 4, 4, 2, 1, 3, 2, 3, 1, 3, 3, 4, 1, 0, 3, 4, 4, 2, 1, 4, 3, 3, 3, 3, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 4, 3, 1, 3, 4, 0, 3, 2, 4, 1, 2, 3, 2, 4, 3, 4, 1, 1, 4, 1, 0, 4, 4, 3, 0, 1, 3, 0, 4, 0, 1, 0, 4, 1, 4, 4, 3, 0, 1, 1, 1, 2, 3, 1, 2, 2, 0, 3, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 4, 1, 0, 1, 0, 2, 0, 4, 2, 3, 4, 4, 0, 0, 2, 3, 1, 4, 2, 0, 4, 1, 1, 3, 2, 1, 1, 2, 3, 1, 2, 0, 4, 0, 4, 4, 1, 0, 4, 2, 3, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 3, 1, 2, 1, 2, 1, 4, 0, 4, 0, 3, 3, 4, 4, 1, 0, 4, 1, 1, 0, 2, 3, 4, 1, 0, 4, 1, 1, 2, 0, 0, 1, 0, 3, 3, 0, 3, 0, 3, 4, 0, 4, 1, 2, 1, 3]
pubkeycol751 = [1, 4, 0, 0, 1, 4, 3, 2, 2, 1, 2, 4, 4, 4, 4, 3, 1, 0, 4, 1, 0, 0, 2, 1, 4, 3, 2, 1, 1, 2, 2, 0, 2, 2, 2, 3, 0, 3, 3, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 4, 2, 3, 1, 4, 0, 0, 2, 2, 1, 3, 0, 2, 0, 0, 4, 3, 4, 1, 3, 1, 2, 2, 2, 3, 2, 0, 3, 1, 4, 3, 0, 2, 2, 0, 4, 0, 3, 0, 1, 0, 3, 0, 0, 2, 0, 3, 4, 2, 0, 3, 2, 2, 3, 1, 2, 3, 3, 4, 4, 4, 4, 0, 4, 1, 3, 2, 1, 3, 3, 1, 1, 1, 1, 2, 4, 3, 4, 1, 3, 0, 1, 2, 2, 3, 3, 4, 0, 2, 3, 1, 0, 1, 3, 0, 4, 4, 0, 3, 2, 1, 4, 3, 2, 2, 0, 4, 0, 3, 0, 0, 0, 2, 1, 2, 4, 4, 4, 3, 1, 0, 2, 4, 2, 0, 0, 2, 2, 3, 2, 2, 0, 4, 1, 4, 4, 2, 3, 4, 4, 0, 2, 1, 3, 1, 3, 0, 4, 2, 0, 0, 4, 3, 3, 0, 2, 2, 1, 2, 0, 3, 0, 0, 3, 0, 1, 3, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 3, 1, 2, 4, 0, 0, 1, 3, 3, 4, 0, 0, 2, 2, 4, 0, 0, 4, 1, 4, 1, 4, 1, 0, 2, 2, 0, 1, 3, 3, 3, 2, 3, 3, 1, 0, 2, 3, 3, 4, 2, 3, 3, 3, 0, 1, 3, 0, 2, 0, 0, 0, 4, 3, 0, 2, 3, 3, 2, 4, 4, 1, 2, 1, 3, 3, 4, 4, 2, 2, 3, 3, 0, 0, 2, 0, 3, 1, 4, 4, 2, 0, 1, 3, 1, 4, 3, 4, 4, 0, 4, 3, 4, 2, 2, 0, 1, 1, 2, 3, 1, 0, 3, 2, 0, 1, 0, 3, 0, 3, 2, 1, 3, 4, 2, 4, 2, 3, 3, 2, 1, 1, 0, 3, 4, 0, 3, 0, 3, 1, 1, 0, 2, 0, 4, 1, 4, 2, 2, 0, 2, 1, 4, 0, 4, 0, 1, 2, 4, 3, 2, 4, 3, 2, 0, 4, 3, 1, 0, 2, 1, 2, 4, 4, 3, 0, 0, 0, 2, 2, 2, 2, 1, 1, 3, 4, 0, 2, 1, 1, 1, 1, 4, 0, 2, 2, 1, 2, 4, 4, 0, 4, 0, 3, 3, 3, 3, 2, 0, 4, 0, 3, 0, 4, 4, 0, 1, 4, 4, 2, 0, 2, 4, 1, 3, 4, 3, 3, 3, 0, 0, 4, 4, 3, 2, 2, 4, 0, 2, 1, 0, 0, 4, 4, 3, 2, 2, 2, 2, 0, 3, 3, 0, 3, 2, 0, 0, 0, 2, 4, 4, 2, 2, 3, 3, 1, 0, 3, 3, 1, 2, 1, 3, 0, 2, 0, 4, 2, 2, 4, 3, 2, 3, 4, 4, 1]
pubkeycol752 = [2, 3, 0, 2, 3, 2, 3, 3, 4, 3, 4, 0, 2, 4, 3, 3, 3, 4, 2, 0, 4, 4, 2, 4, 1, 2, 2, 4, 1, 2, 4, 2, 0, 2, 3, 3, 2, 2, 3, 1, 0, 0, 4, 2, 4, 1, 1, 2, 0, 1, 3, 2, 1, 1, 3, 1, 0, 2, 1, 4, 1, 1, 1, 3, 0, 2, 4, 0, 1, 3, 0, 3, 4, 0, 1, 2, 2, 0, 4, 3, 4, 4, 0, 3, 3, 0, 1, 1, 1, 4, 4, 1, 0, 2, 4, 4, 2, 2, 4, 0, 0, 2, 1, 1, 4, 0, 4, 1, 2, 4, 4, 3, 1, 3, 1, 1, 2, 0, 1, 0, 0, 3, 2, 3, 0, 4, 0, 0, 4, 1, 3, 0, 1, 0, 4, 3, 3, 3, 1, 3, 1, 2, 3, 4, 2, 4, 3, 0, 1, 2, 0, 3, 4, 3, 3, 0, 3, 2, 4, 2, 1, 1, 3, 3, 3, 2, 1, 0, 2, 1, 3, 3, 0, 0, 4, 1, 3, 0, 0, 0, 4, 2, 0, 4, 0, 2, 3, 4, 4, 4, 3, 3, 0, 3, 4, 0, 2, 3, 0, 2, 1, 4, 1, 0, 3, 3, 4, 3, 0, 1, 0, 2, 4, 2, 3, 4, 4, 3, 2, 2, 4, 0, 0, 0, 0, 1, 2, 3, 3, 0, 1, 0, 1, 4, 1, 1, 2, 2, 3, 2, 2, 2, 4, 4, 1, 4, 2, 2, 4, 4, 3, 3, 0, 2, 0, 2, 2, 4, 2, 0, 4, 0, 3, 2, 4, 3, 4, 0, 2, 4, 4, 1, 4, 0, 0, 2, 1, 3, 0, 1, 0, 2, 0, 1, 4, 0, 2, 3, 3, 3, 3, 0, 4, 4, 1, 4, 1, 3, 3, 2, 0, 4, 3, 3, 3, 0, 4, 4, 3, 1, 1, 0, 4, 3, 1, 4, 0, 4, 3, 1, 3, 2, 0, 2, 3, 4, 2, 2, 2, 3, 0, 0, 2, 4, 0, 1, 0, 2, 2, 3, 0, 1, 0, 4, 2, 0, 2, 3, 2, 4, 0, 2, 0, 1, 3, 0, 1, 3, 1, 4, 1, 4, 4, 0, 4, 3, 4, 0, 4, 4, 1, 2, 4, 3, 1, 4, 3, 2, 0, 1, 1, 0, 3, 2, 0, 4, 4, 3, 4, 2, 2, 1, 4, 1, 0, 3, 1, 2, 1, 3, 0, 2, 1, 2, 3, 0, 0, 0, 4, 2, 4, 3, 4, 0, 3, 1, 3, 0, 2, 0, 1, 3, 2, 3, 4, 0, 2, 0, 1, 1, 4, 2, 2, 3, 1, 2, 4, 0, 2, 1, 4, 0, 4, 2, 2, 3, 3, 2, 1, 4, 4, 4, 3, 4, 4, 2, 0, 1, 4, 1, 3, 3, 0, 2, 1, 4, 0, 0, 0, 1, 4, 0, 0, 2, 0, 1, 3, 2, 4, 1, 4, 3, 3, 0, 1, 4, 2, 3, 0, 1, 3, 3, 3, 0, 0, 2, 4, 3, 4, 4, 1, 0, 0, 0, 2]
pubkeycol753 = [3, 3, 2, 2, 4, 1, 3, 1, 3, 3, 4, 4, 2, 1, 0, 2, 4, 0, 3, 1, 2, 2, 0, 4, 2, 0, 3, 2, 0, 1, 2, 1, 4, 3, 0, 3, 1, 2, 1, 1, 2, 1, 3, 3, 3, 2, 3, 0, 3, 2, 3, 4, 1, 3, 1, 2, 1, 3, 4, 1, 0, 1, 1, 4, 4, 2, 2, 1, 0, 1, 3, 0, 1, 3, 2, 4, 0, 0, 3, 1, 4, 3, 0, 1, 4, 2, 0, 0, 3, 4, 3, 2, 2, 2, 3, 2, 0, 3, 0, 3, 1, 3, 1, 3, 3, 4, 3, 0, 0, 1, 1, 2, 0, 3, 0, 2, 4, 4, 2, 2, 0, 4, 0, 0, 4, 4, 4, 0, 3, 0, 2, 0, 2, 4, 1, 0, 2, 0, 1, 4, 3, 3, 0, 0, 3, 2, 4, 1, 2, 4, 2, 4, 2, 0, 3, 0, 1, 0, 2, 4, 0, 1, 2, 3, 1, 3, 2, 0, 3, 0, 2, 2, 3, 2, 3, 3, 0, 0, 3, 1, 4, 4, 1, 1, 3, 3, 0, 2, 3, 4, 2, 0, 0, 1, 3, 4, 0, 0, 2, 0, 3, 1, 1, 2, 2, 2, 3, 3, 1, 0, 4, 2, 0, 2, 3, 4, 0, 1, 1, 1, 4, 3, 4, 4, 4, 4, 4, 4, 1, 1, 3, 2, 0, 0, 2, 1, 0, 4, 0, 4, 1, 1, 4, 0, 1, 3, 2, 2, 2, 1, 0, 1, 0, 4, 3, 1, 1, 1, 0, 4, 2, 2, 2, 0, 4, 4, 4, 3, 0, 0, 1, 3, 1, 3, 1, 4, 4, 1, 1, 3, 0, 4, 0, 0, 3, 3, 1, 4, 2, 2, 2, 3, 2, 0, 3, 2, 1, 1, 1, 1, 4, 1, 0, 3, 3, 3, 0, 2, 1, 0, 0, 4, 0, 3, 4, 3, 2, 4, 0, 3, 3, 1, 3, 1, 4, 0, 1, 0, 1, 0, 3, 3, 0, 2, 1, 3, 4, 1, 3, 1, 0, 1, 1, 1, 4, 3, 1, 1, 2, 1, 3, 4, 3, 2, 2, 2, 4, 3, 2, 2, 3, 4, 4, 0, 1, 2, 0, 2, 0, 0, 2, 3, 2, 4, 2, 0, 0, 3, 4, 4, 4, 1, 0, 2, 4, 1, 0, 2, 2, 2, 3, 3, 1, 4, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 3, 3, 0, 0, 2, 4, 4, 1, 3, 3, 0, 1, 3, 3, 1, 2, 2, 1, 1, 0, 3, 4, 0, 4, 3, 1, 3, 1, 2, 2, 0, 1, 1, 4, 1, 1, 3, 1, 4, 3, 1, 4, 1, 0, 4, 1, 1, 3, 4, 2, 2, 1, 3, 2, 4, 1, 3, 3, 1, 1, 3, 4, 4, 2, 2, 0, 2, 1, 3, 3, 4, 3, 3, 1, 3, 2, 2, 2, 2, 0, 0, 0, 2, 4, 3, 2, 2, 3, 4, 3, 4, 2, 2, 2, 3, 0, 2, 0, 4]
pubkeycol754 = [2, 3, 1, 3, 0, 4, 1, 1, 0, 2, 0, 0, 1, 3, 0, 1, 4, 1, 1, 4, 0, 4, 4, 2, 3, 2, 2, 2, 3, 2, 4, 2, 4, 3, 3, 1, 2, 2, 4, 4, 0, 1, 3, 0, 0, 4, 0, 0, 2, 2, 2, 3, 3, 0, 3, 2, 4, 0, 2, 1, 3, 4, 1, 3, 1, 4, 3, 4, 1, 4, 1, 2, 4, 0, 0, 3, 2, 4, 0, 0, 3, 3, 4, 0, 0, 0, 2, 0, 2, 4, 0, 2, 4, 4, 0, 2, 4, 2, 4, 1, 3, 2, 3, 1, 4, 4, 1, 4, 2, 3, 3, 4, 3, 0, 0, 4, 0, 0, 2, 1, 3, 3, 3, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 2, 2, 1, 0, 3, 2, 3, 2, 0, 4, 4, 2, 4, 2, 4, 4, 0, 3, 1, 2, 4, 4, 2, 2, 3, 4, 1, 0, 2, 2, 4, 2, 2, 3, 3, 4, 3, 3, 3, 3, 2, 4, 2, 2, 2, 0, 1, 0, 1, 4, 4, 3, 3, 1, 4, 4, 4, 2, 4, 1, 3, 0, 4, 3, 1, 0, 3, 3, 4, 1, 3, 4, 0, 4, 1, 2, 4, 1, 2, 2, 2, 4, 0, 0, 1, 4, 2, 2, 4, 2, 1, 3, 1, 2, 2, 3, 2, 0, 0, 4, 4, 0, 2, 0, 3, 0, 4, 1, 2, 3, 4, 1, 4, 3, 4, 2, 0, 0, 2, 1, 3, 4, 1, 4, 4, 0, 0, 0, 2, 3, 3, 3, 2, 0, 2, 2, 0, 0, 3, 4, 3, 3, 4, 3, 0, 1, 2, 1, 3, 1, 4, 3, 0, 4, 3, 3, 2, 1, 0, 4, 3, 1, 4, 4, 1, 0, 0, 2, 1, 3, 0, 4, 3, 1, 1, 1, 1, 0, 0, 2, 0, 3, 2, 3, 2, 4, 4, 2, 1, 4, 0, 1, 1, 2, 4, 2, 1, 3, 1, 0, 1, 3, 3, 0, 3, 3, 1, 3, 4, 4, 3, 0, 3, 1, 4, 4, 1, 3, 1, 4, 2, 1, 4, 1, 0, 2, 1, 3, 1, 1, 4, 4, 2, 2, 2, 2, 2, 3, 3, 0, 4, 2, 1, 4, 2, 3, 4, 4, 0, 2, 4, 0, 1, 1, 2, 1, 0, 0, 3, 1, 4, 4, 3, 0, 1, 3, 1, 0, 2, 1, 4, 1, 4, 2, 1, 4, 0, 2, 4, 1, 4, 2, 2, 2, 4, 1, 0, 3, 4, 1, 2, 1, 4, 3, 2, 2, 2, 3, 0, 3, 3, 4, 0, 2, 1, 0, 4, 4, 1, 1, 4, 1, 3, 0, 0, 2, 1, 1, 0, 3, 4, 1, 2, 2, 1, 2, 2, 1, 1, 3, 4, 2, 0, 0, 0, 4, 1, 2, 2, 4, 0, 4, 4, 1, 0, 4, 3, 0, 4, 0, 3, 4, 0, 4, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 3, 3, 2, 3, 0, 4, 2]
pubkeycol755 = [1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 3, 1, 1, 2, 0, 1, 4, 2, 4, 3, 0, 4, 3, 0, 4, 2, 0, 4, 2, 1, 0, 0, 4, 2, 4, 2, 3, 2, 2, 0, 3, 4, 1, 1, 4, 3, 2, 3, 2, 4, 1, 3, 0, 4, 4, 2, 1, 2, 3, 4, 4, 3, 1, 0, 3, 2, 1, 3, 3, 4, 4, 2, 1, 4, 4, 3, 3, 2, 4, 2, 3, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 4, 1, 3, 3, 3, 4, 0, 4, 2, 1, 3, 4, 3, 1, 3, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 3, 3, 1, 2, 3, 2, 2, 1, 4, 1, 4, 2, 0, 3, 2, 0, 1, 0, 1, 2, 2, 0, 4, 2, 1, 2, 2, 3, 2, 1, 1, 1, 0, 2, 3, 3, 2, 2, 0, 1, 1, 3, 4, 1, 0, 4, 2, 4, 4, 1, 2, 3, 0, 0, 0, 3, 0, 1, 2, 1, 1, 0, 2, 3, 3, 3, 1, 2, 2, 0, 1, 4, 4, 1, 2, 4, 1, 3, 1, 0, 1, 0, 1, 0, 3, 1, 3, 2, 0, 3, 4, 1, 1, 1, 2, 2, 1, 3, 0, 3, 3, 3, 4, 2, 0, 3, 2, 1, 1, 4, 1, 3, 3, 2, 3, 1, 2, 4, 3, 1, 2, 2, 0, 1, 2, 2, 4, 0, 4, 0, 2, 0, 0, 0, 3, 2, 3, 0, 0, 1, 4, 2, 0, 4, 0, 3, 3, 3, 4, 0, 1, 3, 2, 4, 0, 0, 1, 2, 2, 1, 1, 3, 3, 0, 4, 2, 1, 2, 2, 4, 4, 0, 0, 4, 3, 0, 2, 2, 1, 4, 4, 0, 3, 0, 2, 0, 3, 3, 1, 1, 4, 2, 3, 1, 1, 4, 4, 1, 1, 2, 0, 4, 3, 4, 3, 1, 0, 1, 1, 3, 2, 3, 1, 3, 1, 0, 1, 4, 2, 2, 1, 4, 3, 2, 2, 2, 1, 2, 0, 4, 4, 3, 3, 1, 0, 4, 0, 1, 4, 4, 2, 1, 3, 2, 0, 3, 1, 4, 0, 1, 2, 2, 3, 1, 3, 4, 0, 0, 4, 3, 3, 0, 0, 3, 1, 4, 3, 0, 4, 0, 3, 3, 1, 4, 0, 4, 0, 3, 1, 0, 1, 3, 4, 0, 0, 1, 4, 4, 3, 4, 4, 3, 2, 4, 2, 1, 1, 0, 1, 3, 4, 1, 0, 1, 0, 4, 1, 2, 0, 3, 3, 1, 0, 2, 0, 0, 4, 2, 4, 2, 0, 1, 0, 3, 2, 0, 0, 1, 4, 2, 4, 4, 4, 4, 4, 0, 1, 0, 2, 3, 4, 0, 3, 0, 4, 0, 4, 4, 2, 4, 0, 3, 3, 1, 0, 2, 2, 4, 3, 4, 3, 0, 4, 0, 4, 3, 0, 3, 2, 4, 4, 2, 2, 2, 0, 3, 2, 3, 0, 1, 4, 1, 3, 2, 1]
pubkeycol756 = [0, 3, 0, 4, 3, 0, 1, 4, 4, 2, 3, 0, 0, 2, 4, 2, 0, 1, 1, 1, 2, 4, 2, 4, 0, 1, 2, 1, 0, 3, 2, 3, 4, 0, 0, 1, 3, 0, 1, 1, 2, 0, 4, 1, 3, 1, 0, 4, 0, 3, 1, 1, 4, 4, 2, 4, 0, 1, 4, 1, 1, 2, 3, 1, 1, 2, 4, 1, 0, 4, 1, 0, 2, 4, 0, 0, 0, 3, 2, 0, 0, 3, 0, 4, 1, 0, 3, 4, 4, 1, 1, 0, 4, 2, 2, 2, 0, 4, 2, 4, 4, 4, 3, 1, 2, 4, 0, 3, 2, 3, 4, 4, 2, 3, 1, 1, 0, 0, 3, 3, 2, 0, 4, 0, 0, 4, 3, 4, 3, 4, 3, 1, 0, 1, 4, 1, 2, 3, 2, 1, 2, 0, 4, 0, 4, 2, 2, 2, 2, 0, 0, 0, 0, 3, 4, 4, 3, 3, 0, 1, 0, 4, 3, 3, 4, 2, 0, 0, 0, 3, 2, 0, 2, 0, 3, 1, 0, 4, 3, 2, 2, 2, 1, 1, 3, 3, 3, 2, 4, 0, 1, 3, 0, 3, 0, 4, 1, 0, 4, 1, 3, 1, 2, 2, 0, 1, 2, 1, 0, 3, 2, 1, 4, 0, 2, 2, 0, 1, 1, 3, 2, 0, 3, 4, 3, 2, 3, 4, 4, 2, 1, 4, 1, 0, 0, 1, 3, 4, 2, 3, 2, 4, 4, 0, 2, 3, 1, 1, 3, 0, 1, 2, 3, 0, 4, 2, 4, 1, 1, 3, 4, 1, 4, 1, 3, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 4, 2, 3, 4, 2, 0, 3, 0, 4, 0, 0, 2, 0, 3, 4, 3, 3, 0, 1, 2, 2, 2, 1, 4, 4, 1, 3, 0, 2, 4, 2, 0, 3, 4, 2, 3, 2, 3, 1, 2, 3, 0, 0, 4, 2, 3, 2, 1, 4, 2, 0, 3, 3, 1, 2, 0, 2, 4, 0, 3, 1, 1, 2, 4, 4, 3, 0, 1, 2, 3, 1, 4, 2, 0, 3, 4, 4, 3, 2, 1, 1, 4, 1, 4, 1, 4, 4, 0, 0, 4, 3, 3, 3, 4, 4, 1, 4, 3, 0, 4, 3, 0, 0, 3, 3, 3, 0, 4, 0, 0, 0, 0, 1, 3, 1, 4, 4, 2, 2, 4, 0, 1, 3, 2, 1, 2, 1, 4, 3, 2, 4, 1, 3, 4, 2, 3, 2, 4, 1, 4, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 4, 1, 2, 1, 0, 3, 3, 1, 1, 0, 3, 1, 4, 3, 2, 4, 1, 3, 3, 3, 4, 2, 0, 4, 2, 2, 3, 1, 3, 0, 4, 2, 4, 3, 2, 1, 3, 4, 1, 2, 2, 2, 4, 1, 3, 1, 0, 0, 2, 2, 3, 3, 4, 1, 0, 4, 0, 4, 1, 3, 4, 3, 3, 4, 1, 3, 1, 4, 3, 2, 2, 2, 0]
pubkeycol757 = [2, 2, 0, 4, 1, 0, 1, 2, 0, 1, 1, 1, 4, 3, 2, 3, 0, 1, 1, 4, 4, 2, 3, 3, 2, 0, 2, 1, 2, 2, 2, 4, 3, 3, 0, 0, 1, 3, 0, 4, 3, 0, 3, 3, 2, 2, 0, 0, 1, 1, 2, 2, 0, 4, 3, 3, 0, 1, 4, 4, 3, 1, 1, 1, 4, 4, 1, 1, 3, 4, 0, 0, 1, 2, 2, 0, 0, 2, 0, 4, 2, 0, 4, 3, 2, 1, 2, 3, 1, 0, 1, 4, 2, 1, 1, 0, 3, 0, 0, 0, 0, 2, 4, 3, 2, 3, 4, 1, 2, 4, 2, 1, 3, 1, 0, 2, 3, 4, 4, 4, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 4, 2, 0, 3, 2, 3, 4, 0, 0, 1, 1, 3, 4, 3, 3, 3, 2, 1, 1, 0, 0, 2, 3, 3, 2, 0, 4, 4, 3, 0, 2, 0, 4, 4, 2, 0, 0, 0, 4, 3, 3, 0, 3, 4, 4, 1, 1, 1, 3, 2, 3, 1, 4, 3, 3, 0, 0, 4, 2, 0, 3, 1, 0, 1, 0, 3, 0, 2, 3, 4, 0, 4, 2, 1, 3, 4, 1, 1, 1, 1, 2, 3, 2, 1, 4, 1, 0, 0, 1, 1, 4, 0, 0, 0, 4, 4, 0, 2, 1, 4, 4, 3, 2, 4, 2, 4, 3, 0, 0, 1, 1, 1, 1, 1, 0, 1, 4, 0, 4, 1, 3, 3, 4, 0, 0, 4, 0, 1, 3, 0, 2, 2, 0, 0, 4, 3, 0, 1, 2, 0, 1, 1, 0, 2, 3, 3, 1, 4, 4, 3, 3, 1, 3, 3, 4, 3, 3, 3, 3, 0, 4, 0, 0, 4, 3, 3, 3, 4, 1, 0, 1, 4, 1, 1, 4, 4, 0, 1, 4, 2, 0, 1, 2, 2, 2, 4, 4, 2, 2, 3, 0, 1, 1, 4, 0, 3, 4, 3, 0, 1, 4, 4, 1, 0, 3, 1, 3, 4, 3, 1, 0, 3, 2, 4, 2, 3, 0, 4, 0, 2, 3, 1, 1, 1, 2, 0, 2, 4, 2, 1, 4, 4, 4, 0, 0, 2, 3, 2, 1, 2, 3, 4, 3, 0, 1, 4, 1, 3, 0, 0, 3, 3, 3, 1, 3, 4, 1, 1, 1, 4, 4, 1, 3, 1, 0, 1, 3, 3, 3, 0, 4, 4, 4, 0, 0, 1, 3, 0, 1, 3, 3, 4, 2, 0, 2, 0, 4, 2, 3, 0, 3, 4, 4, 3, 3, 3, 4, 1, 0, 1, 1, 2, 2, 4, 4, 0, 0, 4, 3, 2, 2, 4, 4, 3, 4, 1, 0, 0, 2, 1, 1, 0, 2, 4, 2, 4, 1, 1, 0, 1, 1, 0, 3, 1, 0, 4, 2, 4, 4, 3, 1, 1, 2, 0, 1, 0, 4, 2, 1, 0, 3, 4, 4, 1, 3, 1, 2, 2, 2, 2, 4, 2, 3, 2, 0, 4, 3, 1, 1, 3, 1, 2, 2, 2]
pubkeycol758 = [4, 0, 2, 4, 4, 4, 1, 2, 2, 1, 3, 0, 0, 2, 0, 4, 0, 0, 1, 4, 0, 1, 4, 4, 4, 4, 1, 3, 2, 4, 0, 4, 3, 1, 0, 3, 1, 4, 1, 4, 4, 2, 4, 1, 2, 4, 2, 3, 2, 2, 1, 1, 2, 0, 3, 1, 0, 3, 4, 0, 3, 4, 0, 1, 2, 3, 3, 3, 3, 0, 4, 2, 4, 2, 0, 3, 0, 3, 3, 1, 2, 4, 3, 3, 1, 4, 2, 3, 1, 4, 0, 1, 0, 2, 4, 4, 3, 4, 3, 1, 0, 2, 4, 3, 3, 3, 2, 0, 4, 2, 1, 0, 3, 2, 2, 1, 1, 0, 1, 3, 1, 1, 0, 2, 2, 4, 4, 1, 2, 1, 0, 3, 0, 3, 3, 3, 1, 0, 3, 3, 3, 4, 2, 3, 4, 1, 1, 0, 2, 1, 4, 2, 1, 0, 2, 4, 1, 4, 2, 0, 1, 4, 1, 3, 4, 1, 3, 4, 3, 4, 1, 2, 0, 0, 0, 4, 4, 2, 4, 0, 2, 2, 0, 2, 2, 3, 2, 4, 0, 0, 0, 4, 1, 1, 0, 4, 4, 3, 1, 3, 1, 2, 0, 4, 4, 3, 0, 4, 1, 1, 2, 0, 1, 4, 0, 2, 0, 2, 3, 3, 4, 2, 2, 3, 4, 2, 3, 1, 3, 3, 3, 4, 3, 2, 0, 4, 2, 0, 2, 2, 0, 1, 2, 3, 3, 0, 3, 0, 3, 0, 3, 2, 4, 2, 3, 3, 0, 0, 3, 0, 1, 3, 2, 2, 1, 4, 1, 0, 0, 2, 0, 4, 4, 3, 1, 0, 0, 4, 0, 0, 2, 2, 0, 4, 4, 0, 2, 3, 1, 1, 0, 1, 0, 1, 2, 2, 2, 3, 0, 3, 3, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 3, 2, 1, 4, 4, 3, 4, 1, 0, 2, 0, 2, 3, 1, 2, 2, 4, 3, 3, 3, 1, 2, 0, 1, 2, 3, 3, 4, 2, 1, 0, 2, 2, 2, 2, 0, 1, 3, 2, 2, 1, 4, 0, 2, 1, 0, 2, 4, 4, 4, 2, 2, 0, 4, 0, 3, 0, 2, 1, 3, 0, 4, 3, 4, 3, 3, 0, 1, 3, 2, 2, 1, 1, 2, 4, 1, 3, 3, 3, 3, 0, 2, 0, 2, 0, 0, 3, 1, 2, 0, 3, 0, 0, 4, 3, 1, 3, 0, 4, 0, 0, 3, 3, 0, 0, 2, 1, 3, 1, 1, 0, 2, 4, 4, 1, 2, 4, 4, 2, 2, 1, 0, 1, 2, 0, 3, 0, 0, 4, 1, 0, 4, 3, 1, 3, 3, 4, 4, 2, 1, 0, 0, 4, 2, 0, 1, 4, 0, 3, 3, 3, 1, 3, 1, 3, 4, 4, 1, 2, 0, 3, 3, 0, 3, 4, 0, 3, 2, 2, 2, 2, 4, 2, 3, 4, 2, 1, 4, 4, 2, 1, 4, 4, 0, 1, 3, 3, 1, 4, 0, 0, 1, 0]
pubkeycol759 = [4, 3, 2, 0, 1, 3, 0, 1, 0, 1, 1, 2, 0, 1, 3, 3, 0, 3, 1, 2, 4, 3, 1, 4, 4, 0, 1, 3, 1, 4, 3, 4, 0, 3, 0, 0, 1, 3, 4, 2, 3, 0, 0, 2, 1, 2, 4, 1, 3, 3, 2, 3, 3, 3, 3, 0, 2, 0, 2, 4, 0, 4, 3, 3, 3, 3, 4, 4, 3, 0, 4, 4, 0, 1, 4, 0, 3, 1, 4, 0, 2, 1, 2, 0, 4, 1, 0, 3, 4, 4, 2, 0, 2, 1, 3, 2, 0, 0, 2, 1, 3, 0, 3, 2, 4, 1, 3, 0, 2, 2, 3, 0, 4, 4, 4, 0, 3, 3, 2, 2, 1, 0, 4, 4, 2, 2, 4, 0, 4, 2, 0, 3, 0, 2, 4, 3, 2, 3, 2, 3, 4, 0, 3, 3, 1, 3, 2, 0, 4, 3, 1, 2, 4, 3, 1, 2, 4, 0, 1, 3, 4, 0, 4, 1, 2, 0, 0, 0, 2, 0, 4, 2, 1, 2, 0, 4, 1, 4, 4, 3, 2, 3, 0, 4, 3, 0, 3, 3, 4, 1, 3, 4, 1, 0, 4, 3, 2, 2, 3, 2, 4, 2, 0, 2, 4, 2, 1, 2, 4, 2, 4, 3, 3, 0, 2, 1, 4, 3, 1, 1, 4, 3, 4, 3, 3, 3, 2, 2, 4, 2, 1, 3, 2, 0, 0, 2, 2, 0, 3, 2, 1, 0, 4, 1, 0, 4, 0, 1, 2, 3, 0, 2, 1, 3, 3, 0, 0, 0, 1, 2, 3, 1, 0, 1, 3, 2, 4, 3, 0, 2, 3, 3, 1, 4, 0, 2, 0, 3, 2, 0, 2, 2, 1, 4, 2, 4, 4, 4, 1, 3, 1, 2, 4, 0, 4, 3, 3, 1, 2, 2, 2, 1, 3, 0, 2, 1, 3, 1, 2, 2, 0, 3, 4, 4, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 4, 2, 1, 3, 1, 3, 1, 0, 2, 0, 2, 0, 1, 0, 1, 3, 2, 2, 2, 1, 3, 3, 2, 2, 3, 1, 4, 4, 4, 3, 2, 0, 3, 3, 1, 3, 3, 4, 0, 1, 2, 4, 3, 0, 1, 3, 2, 1, 4, 0, 0, 3, 3, 3, 1, 1, 3, 3, 0, 1, 0, 1, 4, 4, 3, 2, 1, 3, 3, 1, 0, 2, 2, 2, 2, 3, 2, 0, 0, 3, 0, 1, 2, 3, 3, 4, 3, 4, 4, 4, 0, 3, 4, 2, 0, 4, 3, 4, 3, 0, 3, 0, 2, 4, 3, 3, 1, 1, 1, 3, 2, 4, 0, 3, 1, 3, 1, 1, 3, 4, 2, 1, 2, 3, 3, 2, 4, 0, 0, 4, 1, 2, 1, 3, 1, 1, 3, 3, 1, 3, 3, 4, 4, 0, 1, 2, 4, 4, 3, 3, 4, 4, 4, 2, 0, 4, 4, 0, 4, 2, 2, 1, 1, 0, 0, 4, 0, 1, 4, 0, 1, 0, 1, 3, 0, 2]
pubkeycol760 = [2, 0, 2, 2, 2, 1, 0, 3, 1, 2, 4, 2, 0, 2, 3, 1, 3, 4, 4, 1, 2, 4, 3, 1, 0, 0, 2, 0, 1, 3, 3, 0, 2, 3, 4, 4, 0, 3, 1, 2, 0, 0, 2, 0, 1, 4, 0, 0, 4, 2, 4, 1, 3, 3, 0, 4, 4, 0, 3, 3, 1, 2, 3, 0, 2, 1, 1, 3, 1, 3, 2, 2, 0, 1, 3, 3, 4, 0, 1, 4, 2, 1, 1, 1, 4, 3, 2, 1, 2, 0, 4, 2, 2, 4, 4, 0, 4, 4, 2, 1, 3, 4, 1, 3, 0, 4, 3, 4, 1, 4, 0, 1, 1, 2, 2, 2, 1, 3, 3, 3, 4, 1, 4, 4, 0, 4, 0, 4, 0, 0, 0, 2, 4, 0, 3, 0, 3, 3, 2, 1, 0, 2, 0, 2, 0, 0, 4, 0, 2, 0, 4, 1, 0, 0, 1, 2, 1, 1, 1, 3, 2, 2, 1, 2, 3, 3, 0, 4, 4, 3, 3, 0, 0, 2, 3, 2, 1, 0, 3, 3, 1, 4, 1, 1, 4, 3, 1, 4, 2, 0, 3, 3, 2, 3, 2, 0, 4, 1, 1, 2, 4, 0, 4, 4, 0, 4, 2, 3, 1, 0, 4, 0, 1, 0, 4, 1, 4, 3, 3, 0, 1, 0, 3, 1, 2, 2, 0, 3, 4, 4, 3, 3, 0, 1, 3, 3, 1, 0, 0, 4, 3, 3, 2, 4, 0, 0, 1, 0, 1, 0, 0, 4, 2, 1, 1, 4, 2, 1, 2, 4, 1, 1, 0, 1, 1, 4, 2, 4, 4, 2, 1, 3, 2, 3, 0, 0, 3, 4, 4, 0, 1, 0, 4, 1, 3, 1, 3, 3, 2, 3, 3, 3, 4, 4, 0, 0, 4, 3, 4, 1, 1, 3, 3, 3, 3, 0, 1, 2, 0, 1, 3, 1, 3, 0, 1, 3, 4, 4, 2, 1, 1, 1, 0, 1, 1, 3, 2, 1, 3, 4, 1, 1, 3, 2, 2, 2, 3, 4, 4, 4, 1, 3, 3, 4, 4, 2, 3, 1, 3, 2, 2, 1, 0, 1, 1, 0, 4, 2, 3, 0, 4, 2, 2, 2, 1, 1, 0, 4, 2, 4, 2, 3, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 4, 2, 3, 0, 0, 0, 0, 3, 1, 0, 0, 0, 4, 1, 3, 2, 1, 3, 4, 0, 2, 3, 2, 2, 1, 1, 0, 2, 4, 4, 3, 1, 4, 3, 3, 1, 2, 2, 0, 3, 0, 0, 4, 3, 0, 2, 1, 3, 0, 3, 2, 4, 2, 3, 4, 3, 0, 4, 1, 1, 1, 2, 0, 1, 1, 2, 2, 4, 3, 1, 2, 0, 2, 4, 2, 0, 4, 0, 3, 0, 2, 1, 4, 3, 4, 4, 3, 4, 0, 3, 4, 1, 3, 0, 3, 0, 1, 4, 2, 2, 0, 3, 2, 0, 2, 4, 1, 0, 0, 2, 0, 3, 2, 1, 2, 2, 0, 1, 4, 4, 3, 4, 2]
pubkeycol761 = [2, 4, 1, 0, 3, 3, 1, 0, 1, 1, 0, 2, 2, 2, 4, 3, 1, 3, 0, 1, 4, 3, 1, 3, 1, 3, 4, 3, 1, 3, 3, 1, 1, 2, 1, 4, 3, 3, 1, 3, 1, 2, 3, 4, 3, 0, 1, 1, 1, 4, 4, 3, 1, 1, 2, 0, 2, 4, 4, 2, 3, 4, 2, 3, 4, 4, 2, 3, 4, 4, 3, 3, 4, 3, 3, 4, 1, 0, 0, 2, 2, 0, 4, 3, 4, 0, 2, 3, 3, 4, 1, 1, 3, 3, 0, 1, 3, 2, 0, 2, 3, 0, 3, 1, 0, 3, 1, 2, 2, 2, 3, 0, 3, 0, 1, 4, 4, 2, 2, 3, 4, 3, 2, 0, 4, 4, 0, 3, 0, 0, 4, 2, 4, 0, 4, 0, 3, 4, 1, 2, 0, 0, 4, 1, 2, 0, 2, 3, 4, 1, 0, 1, 0, 1, 0, 3, 1, 3, 2, 3, 0, 2, 3, 4, 4, 1, 0, 4, 3, 0, 4, 4, 3, 4, 0, 0, 0, 3, 2, 0, 3, 4, 4, 4, 3, 1, 2, 1, 0, 3, 4, 2, 1, 2, 2, 0, 2, 2, 4, 2, 4, 0, 3, 2, 3, 2, 1, 0, 4, 4, 1, 1, 1, 0, 3, 4, 2, 1, 0, 3, 1, 2, 4, 1, 0, 2, 0, 2, 2, 1, 4, 1, 4, 1, 3, 2, 3, 4, 0, 3, 1, 0, 3, 1, 4, 1, 0, 2, 2, 1, 4, 2, 0, 1, 0, 0, 4, 3, 1, 2, 2, 1, 0, 2, 0, 1, 4, 4, 4, 0, 3, 3, 4, 0, 4, 0, 3, 2, 4, 4, 2, 4, 4, 0, 4, 2, 0, 2, 1, 4, 3, 2, 1, 4, 1, 4, 1, 3, 1, 1, 4, 0, 2, 2, 3, 0, 4, 3, 2, 2, 4, 0, 1, 0, 0, 0, 3, 0, 2, 4, 4, 4, 3, 2, 3, 4, 0, 4, 1, 0, 4, 4, 1, 3, 3, 2, 2, 1, 4, 0, 1, 2, 2, 2, 3, 2, 3, 0, 4, 0, 0, 1, 3, 3, 0, 1, 3, 2, 4, 1, 1, 0, 4, 2, 1, 0, 1, 2, 2, 4, 3, 1, 0, 2, 2, 1, 3, 3, 1, 4, 4, 1, 3, 1, 3, 2, 1, 0, 2, 1, 3, 1, 3, 4, 2, 1, 1, 1, 4, 4, 0, 4, 4, 3, 4, 0, 4, 2, 4, 4, 2, 0, 1, 0, 1, 1, 1, 4, 3, 0, 3, 3, 3, 2, 3, 3, 3, 0, 1, 1, 4, 3, 2, 4, 1, 4, 4, 2, 0, 1, 1, 3, 1, 1, 0, 3, 4, 1, 0, 1, 1, 3, 2, 4, 0, 1, 1, 1, 3, 3, 1, 2, 3, 2, 3, 4, 0, 4, 0, 1, 0, 2, 1, 1, 0, 4, 3, 3, 4, 4, 0, 4, 0, 3, 2, 3, 3, 3, 4, 1, 4, 0, 4, 0, 2, 1, 1, 4, 2, 4, 0, 4, 3, 2, 0]
pubkeycol762 = [4, 0, 1, 4, 1, 2, 1, 0, 1, 2, 0, 4, 3, 4, 4, 3, 1, 1, 3, 3, 3, 0, 3, 2, 4, 1, 1, 3, 1, 4, 3, 1, 2, 0, 2, 3, 0, 4, 0, 4, 4, 4, 4, 1, 3, 2, 2, 0, 1, 4, 3, 1, 3, 3, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 4, 2, 0, 3, 0, 3, 4, 0, 1, 3, 2, 0, 1, 4, 3, 3, 4, 4, 4, 1, 0, 0, 0, 2, 3, 3, 4, 3, 0, 4, 0, 3, 2, 3, 2, 1, 1, 3, 0, 0, 1, 2, 3, 4, 2, 2, 2, 2, 4, 2, 4, 3, 1, 3, 1, 1, 1, 4, 0, 2, 3, 4, 1, 4, 1, 2, 2, 1, 0, 1, 4, 1, 2, 3, 1, 0, 3, 3, 3, 2, 1, 1, 1, 3, 1, 4, 0, 2, 3, 2, 0, 4, 3, 2, 1, 3, 1, 2, 1, 4, 0, 1, 0, 1, 3, 4, 2, 1, 3, 2, 1, 4, 0, 4, 1, 3, 0, 0, 0, 4, 3, 4, 2, 3, 4, 1, 0, 1, 3, 3, 0, 4, 1, 0, 1, 4, 3, 2, 1, 3, 1, 4, 0, 1, 4, 0, 3, 0, 4, 3, 1, 4, 0, 0, 4, 3, 4, 3, 3, 4, 4, 4, 0, 4, 4, 3, 2, 1, 1, 1, 2, 1, 3, 3, 4, 3, 0, 1, 2, 2, 4, 1, 0, 4, 1, 1, 0, 3, 4, 0, 1, 1, 0, 2, 2, 1, 3, 2, 0, 1, 3, 1, 4, 0, 3, 0, 0, 0, 1, 4, 1, 0, 0, 0, 1, 2, 0, 4, 3, 2, 4, 2, 4, 0, 3, 2, 0, 0, 0, 2, 0, 0, 0, 4, 2, 4, 0, 3, 4, 1, 3, 0, 4, 0, 0, 1, 1, 3, 3, 2, 3, 2, 0, 0, 3, 2, 4, 3, 0, 1, 0, 0, 4, 4, 0, 3, 4, 1, 2, 1, 2, 0, 1, 2, 3, 3, 4, 0, 2, 1, 0, 0, 0, 4, 2, 3, 4, 0, 0, 4, 0, 1, 1, 0, 1, 3, 0, 1, 0, 2, 4, 4, 0, 1, 2, 0, 2, 0, 1, 4, 1, 2, 2, 3, 2, 0, 4, 1, 3, 3, 4, 0, 3, 3, 3, 0, 0, 1, 1, 1, 1, 0, 0, 2, 3, 4, 3, 1, 0, 3, 0, 0, 4, 3, 3, 0, 1, 3, 3, 3, 0, 0, 4, 3, 2, 2, 1, 0, 1, 1, 3, 3, 3, 4, 1, 3, 0, 3, 4, 3, 2, 0, 0, 3, 0, 2, 1, 0, 4, 1, 3, 3, 4, 3, 2, 0, 3, 2, 0, 2, 0, 4, 4, 0, 4, 1, 4, 2, 0, 3, 0, 3, 0, 3, 3, 4, 4, 0, 2, 2, 1, 0, 4, 3, 0, 0, 2, 0, 2, 1, 0, 0, 4, 2, 0, 3, 2, 0, 4, 4]
pubkeycol763 = [4, 3, 0, 2, 1, 0, 3, 0, 1, 1, 4, 1, 1, 1, 4, 4, 4, 3, 0, 0, 4, 2, 4, 3, 0, 4, 4, 2, 3, 4, 1, 4, 1, 2, 2, 2, 0, 0, 3, 4, 3, 1, 4, 2, 0, 2, 2, 3, 0, 2, 2, 3, 4, 0, 2, 3, 4, 0, 3, 3, 4, 0, 0, 2, 1, 0, 0, 2, 3, 2, 4, 1, 2, 3, 0, 4, 1, 0, 0, 3, 4, 2, 2, 4, 4, 2, 4, 0, 1, 0, 1, 1, 1, 3, 3, 1, 3, 4, 3, 0, 4, 4, 0, 1, 4, 2, 2, 0, 3, 0, 4, 4, 3, 3, 1, 0, 4, 3, 3, 2, 3, 0, 2, 0, 3, 2, 2, 0, 3, 2, 4, 0, 3, 0, 1, 4, 0, 0, 4, 2, 0, 2, 4, 0, 4, 2, 2, 4, 0, 3, 1, 1, 3, 4, 2, 1, 2, 1, 3, 2, 4, 4, 4, 2, 3, 4, 4, 2, 2, 3, 3, 0, 4, 0, 0, 0, 1, 1, 2, 2, 3, 4, 2, 4, 4, 1, 4, 1, 3, 2, 1, 2, 1, 4, 0, 3, 2, 3, 3, 3, 4, 4, 4, 0, 2, 4, 2, 1, 3, 3, 4, 1, 2, 2, 0, 4, 2, 1, 0, 4, 1, 3, 2, 0, 0, 2, 2, 2, 3, 2, 2, 2, 0, 4, 1, 1, 4, 4, 2, 3, 4, 1, 1, 4, 2, 1, 2, 0, 0, 4, 3, 4, 3, 0, 4, 4, 4, 4, 0, 2, 0, 4, 2, 2, 1, 1, 0, 1, 0, 4, 2, 2, 2, 1, 2, 3, 4, 2, 0, 1, 3, 4, 3, 0, 1, 0, 1, 2, 3, 2, 3, 0, 3, 1, 3, 2, 2, 2, 4, 4, 3, 2, 3, 0, 3, 0, 3, 0, 4, 1, 2, 0, 3, 0, 4, 0, 3, 4, 0, 2, 4, 3, 1, 3, 2, 4, 3, 2, 0, 4, 4, 2, 2, 1, 3, 4, 4, 4, 4, 2, 0, 2, 2, 3, 4, 2, 1, 2, 1, 4, 3, 0, 0, 0, 1, 4, 3, 4, 2, 1, 2, 3, 2, 2, 1, 1, 0, 3, 4, 0, 3, 1, 3, 3, 4, 0, 1, 1, 3, 3, 1, 1, 1, 4, 0, 0, 0, 3, 2, 4, 4, 2, 1, 1, 3, 0, 0, 3, 4, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 4, 1, 1, 0, 0, 1, 3, 0, 0, 0, 2, 3, 3, 1, 2, 1, 2, 0, 3, 3, 4, 4, 0, 3, 3, 4, 0, 1, 4, 2, 4, 3, 1, 0, 4, 2, 0, 2, 1, 0, 2, 3, 4, 2, 3, 1, 2, 3, 4, 0, 1, 3, 1, 4, 4, 3, 1, 3, 4, 1, 0, 1, 0, 3, 4, 2, 1, 1, 0, 1, 0, 3, 0, 2, 0, 1, 0, 2, 2, 0, 1, 3, 2, 0, 0, 3, 3, 4, 1, 4, 2, 0, 2, 2, 0, 4]
pubkeycol764 = [4, 4, 0, 2, 2, 2, 3, 1, 0, 3, 2, 0, 2, 1, 2, 1, 3, 0, 0, 4, 0, 0, 1, 0, 4, 2, 2, 4, 3, 4, 2, 0, 1, 4, 3, 4, 3, 0, 0, 1, 2, 4, 3, 0, 2, 2, 0, 4, 0, 0, 2, 4, 3, 3, 2, 3, 1, 1, 1, 4, 0, 3, 3, 4, 4, 1, 4, 3, 3, 1, 1, 3, 4, 0, 2, 3, 0, 2, 4, 0, 2, 1, 4, 2, 0, 4, 1, 4, 3, 1, 2, 2, 2, 2, 2, 2, 2, 0, 3, 0, 3, 0, 1, 4, 4, 3, 0, 3, 1, 3, 0, 1, 4, 2, 3, 0, 3, 2, 2, 2, 4, 0, 1, 1, 3, 2, 2, 2, 2, 2, 3, 3, 0, 1, 2, 3, 3, 4, 4, 4, 0, 3, 1, 4, 2, 4, 2, 0, 0, 1, 3, 0, 3, 0, 4, 3, 0, 3, 4, 2, 2, 2, 3, 2, 1, 0, 1, 4, 3, 3, 1, 1, 3, 1, 4, 1, 0, 1, 3, 3, 4, 0, 0, 1, 4, 1, 2, 2, 4, 4, 4, 1, 3, 2, 2, 0, 1, 2, 1, 2, 3, 4, 4, 1, 1, 0, 4, 1, 2, 3, 3, 3, 0, 4, 3, 1, 3, 3, 3, 0, 0, 3, 2, 2, 0, 2, 3, 3, 2, 1, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 4, 1, 1, 0, 3, 4, 0, 4, 4, 4, 0, 2, 2, 4, 1, 4, 1, 1, 4, 0, 4, 0, 2, 1, 2, 3, 4, 1, 1, 4, 1, 2, 0, 0, 2, 4, 2, 1, 4, 3, 2, 1, 3, 0, 4, 4, 1, 1, 3, 0, 1, 1, 3, 1, 2, 2, 3, 0, 3, 2, 4, 2, 2, 1, 0, 1, 1, 2, 2, 3, 4, 4, 0, 3, 0, 3, 2, 1, 1, 2, 3, 2, 4, 1, 3, 0, 0, 2, 2, 3, 1, 3, 3, 3, 2, 1, 0, 3, 0, 1, 2, 3, 4, 0, 0, 2, 4, 1, 2, 2, 4, 4, 4, 2, 3, 4, 3, 1, 2, 3, 3, 3, 3, 0, 3, 4, 2, 4, 2, 1, 4, 4, 2, 3, 3, 0, 0, 3, 3, 3, 3, 1, 2, 4, 0, 4, 1, 3, 0, 0, 0, 0, 3, 3, 4, 4, 2, 4, 4, 1, 4, 1, 1, 4, 0, 4, 3, 2, 0, 4, 3, 1, 0, 0, 1, 3, 1, 4, 3, 1, 4, 4, 3, 0, 4, 2, 1, 2, 0, 4, 2, 3, 2, 3, 0, 0, 0, 2, 3, 4, 0, 4, 1, 2, 2, 0, 3, 3, 4, 2, 0, 4, 2, 2, 2, 2, 3, 0, 2, 0, 0, 1, 2, 1, 3, 2, 1, 2, 3, 0, 4, 1, 3, 0, 1, 4, 1, 1, 4, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 3, 2, 1, 2, 4, 2, 0, 0, 1, 2, 1, 4, 0]
pubkeycol765 = [3, 0, 2, 0, 4, 0, 1, 0, 1, 0, 3, 0, 4, 0, 4, 3, 4, 4, 1, 1, 0, 1, 0, 2, 2, 3, 3, 2, 3, 3, 0, 2, 3, 2, 4, 4, 3, 2, 3, 2, 4, 4, 4, 3, 2, 4, 4, 1, 0, 2, 4, 4, 3, 2, 0, 4, 1, 1, 0, 2, 3, 0, 1, 1, 3, 2, 0, 2, 2, 1, 0, 4, 0, 4, 2, 1, 4, 3, 1, 4, 4, 4, 4, 0, 0, 0, 3, 0, 0, 2, 3, 0, 1, 1, 1, 3, 3, 4, 4, 1, 1, 3, 2, 4, 3, 0, 0, 2, 1, 4, 3, 3, 0, 4, 4, 2, 3, 1, 3, 1, 0, 4, 2, 0, 3, 2, 2, 2, 2, 4, 1, 2, 0, 0, 1, 2, 0, 3, 0, 1, 3, 0, 0, 3, 4, 3, 4, 4, 4, 3, 0, 4, 2, 1, 3, 2, 4, 1, 2, 1, 1, 0, 2, 4, 0, 0, 1, 4, 1, 3, 2, 4, 2, 4, 1, 4, 3, 4, 0, 0, 3, 1, 0, 4, 2, 3, 3, 1, 1, 1, 1, 2, 1, 3, 3, 4, 2, 2, 0, 0, 3, 1, 3, 2, 1, 0, 3, 1, 3, 2, 2, 1, 0, 1, 2, 3, 2, 4, 0, 4, 0, 1, 1, 3, 4, 2, 3, 3, 2, 3, 0, 1, 1, 4, 1, 3, 3, 3, 1, 0, 4, 2, 0, 3, 2, 0, 1, 2, 1, 2, 2, 2, 2, 3, 4, 2, 1, 1, 1, 4, 2, 2, 4, 4, 4, 3, 4, 0, 3, 0, 2, 2, 1, 0, 0, 3, 4, 4, 1, 2, 1, 0, 0, 1, 1, 4, 3, 0, 0, 3, 0, 1, 1, 3, 1, 3, 0, 2, 0, 4, 1, 0, 0, 3, 2, 4, 2, 0, 3, 2, 2, 1, 3, 2, 1, 2, 1, 2, 1, 3, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 4, 4, 2, 0, 4, 4, 3, 0, 2, 1, 1, 1, 2, 1, 3, 0, 4, 0, 0, 2, 1, 2, 2, 3, 2, 1, 4, 1, 1, 3, 3, 2, 0, 2, 1, 4, 4, 1, 2, 2, 3, 2, 4, 0, 0, 2, 0, 2, 4, 1, 3, 0, 4, 1, 0, 0, 4, 4, 0, 2, 2, 1, 4, 4, 2, 0, 0, 0, 1, 1, 4, 1, 0, 1, 0, 4, 3, 2, 3, 0, 3, 1, 1, 1, 4, 4, 0, 3, 1, 1, 0, 0, 1, 1, 4, 3, 2, 1, 2, 0, 4, 0, 0, 4, 3, 3, 4, 2, 1, 2, 1, 0, 0, 3, 0, 4, 4, 1, 4, 3, 4, 4, 0, 3, 4, 2, 3, 1, 3, 4, 3, 3, 1, 4, 2, 2, 4, 1, 3, 1, 2, 2, 2, 2, 0, 2, 2, 4, 0, 0, 4, 1, 4, 2, 1, 3, 2, 1, 2, 2, 4, 3, 4, 0, 0, 2, 3, 3, 4, 2, 1, 0, 1]
pubkeycol766 = [2, 4, 1, 4, 4, 1, 0, 4, 3, 4, 1, 2, 4, 4, 0, 2, 3, 1, 3, 2, 1, 4, 4, 0, 0, 1, 2, 0, 3, 0, 2, 3, 0, 2, 1, 0, 0, 0, 4, 3, 2, 1, 2, 4, 1, 0, 4, 4, 1, 4, 2, 0, 1, 3, 3, 2, 1, 2, 4, 3, 3, 0, 3, 1, 1, 1, 0, 3, 3, 2, 2, 4, 1, 3, 4, 1, 4, 4, 2, 3, 1, 4, 4, 1, 0, 3, 2, 0, 0, 0, 0, 0, 2, 0, 0, 3, 4, 4, 2, 3, 4, 1, 4, 2, 4, 2, 2, 3, 3, 2, 4, 0, 3, 4, 2, 1, 3, 4, 0, 2, 4, 1, 2, 2, 2, 0, 2, 2, 0, 1, 4, 4, 1, 2, 2, 0, 1, 3, 0, 1, 1, 0, 1, 4, 4, 2, 2, 1, 0, 3, 2, 2, 0, 4, 3, 3, 2, 3, 0, 2, 3, 2, 3, 0, 2, 4, 4, 2, 0, 4, 1, 0, 3, 3, 0, 4, 0, 0, 2, 4, 2, 2, 0, 2, 2, 2, 4, 2, 3, 4, 3, 0, 1, 4, 0, 0, 1, 4, 0, 4, 2, 0, 4, 2, 2, 4, 4, 3, 1, 1, 1, 1, 4, 0, 2, 4, 0, 0, 0, 4, 3, 3, 4, 4, 4, 3, 1, 0, 2, 1, 1, 2, 4, 0, 3, 1, 0, 2, 3, 2, 3, 0, 2, 1, 4, 3, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 3, 4, 0, 3, 3, 1, 0, 1, 3, 1, 1, 4, 4, 4, 2, 0, 0, 0, 2, 3, 2, 3, 4, 0, 4, 2, 1, 3, 3, 1, 4, 3, 2, 2, 3, 1, 3, 1, 1, 2, 2, 1, 4, 3, 0, 0, 2, 3, 0, 1, 1, 2, 1, 1, 3, 0, 3, 1, 1, 2, 4, 3, 4, 2, 0, 2, 2, 2, 2, 1, 3, 4, 1, 2, 2, 2, 0, 3, 2, 0, 0, 3, 2, 2, 1, 4, 2, 2, 3, 0, 2, 3, 4, 2, 0, 2, 1, 0, 1, 4, 4, 4, 0, 4, 3, 2, 2, 1, 4, 2, 0, 3, 3, 3, 4, 1, 1, 1, 1, 3, 3, 1, 4, 1, 1, 3, 1, 4, 1, 0, 0, 0, 4, 1, 4, 0, 1, 4, 2, 3, 1, 3, 0, 3, 2, 2, 3, 4, 3, 4, 1, 1, 3, 0, 2, 3, 2, 2, 1, 3, 2, 3, 4, 4, 2, 3, 2, 3, 3, 2, 4, 3, 3, 2, 0, 2, 2, 0, 3, 2, 2, 3, 1, 4, 1, 3, 0, 4, 0, 3, 2, 2, 3, 0, 4, 3, 4, 3, 4, 4, 1, 3, 4, 0, 2, 2, 2, 3, 3, 0, 1, 0, 1, 0, 3, 0, 2, 2, 4, 2, 2, 1, 3, 1, 1, 2, 2, 3, 1, 4, 4, 2, 4, 1, 3, 1, 0, 1, 3, 4, 1, 4, 3, 1, 1, 1, 0]
pubkeycol767 = [2, 3, 4, 4, 4, 0, 3, 1, 0, 2, 3, 3, 4, 1, 3, 1, 0, 0, 3, 0, 2, 1, 3, 2, 2, 4, 2, 3, 4, 0, 1, 1, 1, 0, 4, 3, 2, 1, 4, 4, 2, 4, 3, 1, 3, 4, 3, 2, 0, 4, 4, 2, 2, 3, 2, 2, 0, 1, 1, 1, 3, 2, 1, 3, 2, 1, 3, 1, 3, 4, 3, 3, 2, 2, 1, 2, 3, 4, 1, 2, 4, 4, 3, 1, 4, 3, 2, 2, 0, 4, 0, 4, 1, 0, 3, 4, 4, 4, 3, 3, 4, 2, 0, 4, 2, 4, 3, 3, 4, 3, 3, 0, 4, 4, 1, 2, 2, 1, 1, 1, 3, 4, 1, 3, 2, 1, 4, 2, 1, 2, 2, 1, 4, 2, 4, 3, 1, 3, 3, 2, 3, 2, 2, 3, 4, 3, 4, 0, 2, 2, 3, 2, 4, 0, 2, 2, 2, 4, 0, 3, 1, 3, 1, 1, 4, 0, 4, 3, 2, 1, 4, 2, 0, 4, 2, 0, 4, 1, 3, 2, 2, 4, 3, 1, 2, 3, 0, 4, 2, 2, 4, 1, 0, 0, 4, 1, 0, 2, 1, 1, 1, 4, 0, 2, 2, 4, 2, 0, 2, 3, 1, 2, 0, 4, 0, 2, 3, 0, 0, 3, 2, 0, 1, 0, 3, 4, 2, 3, 1, 1, 1, 3, 2, 0, 4, 1, 2, 0, 2, 0, 4, 4, 3, 4, 1, 1, 3, 4, 2, 3, 0, 3, 0, 3, 4, 0, 3, 3, 4, 2, 4, 1, 2, 2, 2, 1, 4, 3, 4, 3, 1, 2, 3, 0, 3, 2, 1, 3, 2, 2, 0, 3, 2, 2, 4, 1, 3, 0, 2, 1, 2, 2, 1, 0, 4, 3, 2, 3, 4, 2, 3, 3, 1, 4, 4, 3, 3, 2, 1, 2, 3, 3, 3, 4, 4, 2, 0, 0, 1, 2, 2, 2, 4, 3, 2, 3, 3, 0, 4, 4, 1, 3, 3, 4, 4, 4, 3, 4, 4, 0, 0, 3, 3, 2, 2, 1, 3, 4, 1, 0, 2, 2, 4, 3, 3, 0, 4, 3, 3, 4, 2, 2, 3, 3, 1, 0, 0, 3, 2, 3, 1, 0, 2, 0, 0, 4, 0, 2, 0, 0, 2, 1, 0, 4, 0, 0, 1, 2, 0, 4, 3, 3, 1, 4, 1, 2, 3, 0, 3, 0, 2, 2, 0, 1, 4, 2, 3, 1, 3, 1, 0, 3, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 4, 4, 2, 4, 4, 2, 3, 1, 1, 1, 4, 1, 0, 3, 0, 3, 0, 4, 0, 4, 2, 4, 3, 4, 3, 0, 4, 4, 2, 2, 3, 3, 4, 0, 3, 4, 1, 3, 3, 1, 2, 3, 3, 4, 4, 2, 3, 3, 4, 4, 1, 1, 3, 0, 4, 3, 1, 3, 2, 0, 3, 2, 4, 1, 2, 0, 2, 3, 2, 4, 0, 3, 2, 0, 3, 1, 3, 1, 3, 3, 3, 1]
pubkeycol768 = [3, 3, 0, 2, 1, 3, 1, 3, 1, 1, 1, 4, 2, 2, 0, 2, 4, 4, 0, 3, 2, 0, 2, 2, 4, 2, 0, 0, 1, 4, 0, 3, 4, 4, 2, 1, 0, 2, 2, 3, 1, 3, 3, 3, 1, 1, 0, 4, 3, 3, 2, 4, 0, 4, 4, 2, 1, 2, 0, 0, 3, 0, 2, 3, 3, 4, 1, 1, 0, 1, 2, 0, 3, 2, 3, 1, 3, 4, 1, 1, 3, 4, 3, 0, 1, 1, 0, 0, 1, 1, 0, 3, 2, 2, 3, 2, 4, 2, 2, 1, 1, 1, 4, 1, 3, 2, 3, 2, 4, 2, 0, 2, 0, 1, 1, 0, 4, 2, 3, 4, 3, 2, 2, 1, 0, 4, 0, 3, 1, 4, 1, 2, 2, 2, 0, 1, 2, 4, 0, 1, 3, 2, 0, 2, 3, 3, 4, 1, 3, 4, 3, 3, 1, 1, 3, 3, 2, 1, 4, 1, 1, 0, 2, 4, 0, 0, 4, 0, 2, 1, 2, 4, 4, 1, 2, 1, 2, 0, 2, 3, 0, 0, 3, 2, 2, 1, 2, 1, 0, 3, 1, 0, 1, 2, 4, 1, 4, 0, 2, 0, 0, 1, 0, 1, 1, 3, 0, 4, 4, 1, 0, 4, 4, 4, 3, 4, 1, 1, 2, 2, 0, 4, 0, 4, 2, 1, 2, 1, 2, 3, 0, 2, 2, 3, 0, 0, 1, 1, 4, 4, 1, 3, 2, 0, 3, 1, 4, 1, 4, 0, 2, 0, 0, 2, 2, 0, 2, 3, 1, 2, 4, 1, 2, 0, 1, 1, 3, 2, 0, 3, 3, 1, 2, 3, 4, 4, 3, 4, 4, 3, 4, 4, 2, 0, 1, 4, 2, 4, 2, 4, 2, 0, 1, 0, 1, 0, 3, 4, 4, 0, 2, 4, 4, 3, 0, 1, 4, 0, 4, 0, 1, 1, 4, 4, 2, 0, 4, 4, 0, 3, 3, 3, 4, 2, 4, 3, 1, 0, 1, 2, 4, 0, 0, 1, 4, 2, 3, 2, 2, 3, 0, 4, 4, 2, 1, 0, 0, 4, 0, 3, 1, 4, 4, 2, 2, 0, 1, 2, 0, 0, 1, 3, 1, 3, 3, 2, 3, 0, 4, 2, 1, 0, 1, 4, 2, 3, 2, 1, 1, 0, 1, 3, 2, 4, 2, 4, 0, 1, 0, 2, 3, 2, 1, 1, 2, 4, 3, 2, 0, 2, 0, 1, 2, 2, 4, 2, 3, 0, 1, 4, 1, 2, 0, 1, 3, 4, 0, 4, 1, 3, 2, 1, 2, 0, 0, 3, 2, 1, 1, 4, 2, 4, 1, 0, 0, 0, 4, 3, 0, 2, 3, 3, 1, 4, 2, 4, 3, 2, 0, 3, 2, 0, 3, 3, 2, 4, 1, 0, 0, 2, 4, 3, 4, 0, 2, 4, 4, 0, 3, 0, 1, 0, 4, 1, 2, 0, 4, 4, 3, 4, 4, 1, 3, 4, 2, 2, 3, 1, 1, 2, 4, 4, 2, 1, 2, 1, 1, 4, 2, 2, 0, 1, 1, 4, 0]
pubkeycol769 = [0, 4, 4, 4, 1, 3, 3, 4, 1, 1, 1, 1, 1, 4, 3, 4, 4, 3, 1, 3, 3, 1, 2, 3, 3, 2, 4, 0, 1, 2, 1, 4, 3, 0, 4, 1, 4, 1, 0, 4, 3, 2, 1, 2, 3, 2, 1, 3, 3, 3, 4, 0, 2, 4, 0, 2, 2, 1, 2, 1, 2, 0, 1, 4, 0, 1, 1, 2, 0, 4, 1, 0, 2, 2, 4, 4, 1, 3, 0, 4, 0, 3, 1, 4, 2, 1, 4, 1, 0, 3, 1, 1, 4, 0, 2, 2, 0, 2, 2, 2, 0, 3, 2, 2, 1, 3, 0, 3, 3, 0, 3, 4, 4, 2, 1, 2, 2, 0, 4, 4, 2, 1, 1, 3, 2, 4, 2, 3, 0, 3, 1, 2, 1, 4, 3, 4, 1, 2, 3, 1, 3, 2, 1, 3, 1, 0, 4, 0, 2, 4, 2, 2, 1, 4, 1, 0, 4, 0, 1, 0, 1, 2, 4, 4, 3, 3, 1, 0, 3, 3, 4, 2, 1, 1, 4, 4, 2, 3, 2, 3, 2, 4, 4, 3, 3, 4, 3, 1, 3, 0, 4, 4, 3, 2, 4, 0, 1, 2, 1, 0, 3, 4, 3, 3, 4, 0, 1, 0, 3, 4, 3, 1, 2, 2, 4, 0, 2, 1, 3, 3, 4, 3, 1, 4, 0, 0, 2, 0, 3, 4, 3, 1, 2, 2, 3, 3, 4, 1, 4, 0, 3, 2, 0, 1, 4, 4, 1, 4, 1, 1, 4, 0, 1, 0, 4, 1, 2, 3, 4, 0, 1, 2, 1, 3, 1, 2, 1, 0, 2, 2, 4, 3, 1, 2, 4, 3, 0, 1, 0, 1, 4, 2, 2, 3, 4, 4, 0, 3, 3, 2, 2, 0, 2, 3, 1, 2, 3, 1, 3, 1, 3, 4, 4, 0, 2, 2, 2, 4, 4, 4, 4, 2, 0, 1, 1, 4, 3, 0, 2, 0, 2, 1, 0, 1, 4, 0, 2, 1, 1, 4, 2, 2, 3, 2, 4, 1, 3, 4, 4, 3, 0, 0, 1, 2, 0, 0, 4, 1, 3, 2, 3, 4, 0, 4, 1, 4, 3, 2, 1, 4, 3, 2, 4, 4, 3, 0, 0, 2, 2, 1, 2, 0, 4, 2, 4, 0, 3, 1, 3, 0, 2, 4, 0, 4, 2, 3, 2, 2, 3, 0, 3, 4, 1, 3, 3, 1, 2, 2, 3, 1, 2, 4, 0, 1, 0, 3, 1, 0, 2, 3, 0, 2, 4, 2, 4, 0, 1, 3, 4, 4, 3, 3, 3, 2, 2, 1, 0, 3, 2, 3, 3, 4, 4, 4, 1, 0, 4, 3, 3, 0, 3, 1, 3, 4, 3, 3, 3, 0, 1, 3, 1, 4, 2, 3, 4, 0, 4, 2, 2, 1, 1, 4, 1, 0, 4, 2, 1, 1, 1, 4, 2, 1, 0, 2, 4, 3, 0, 4, 0, 0, 0, 2, 2, 0, 1, 0, 0, 4, 3, 3, 4, 1, 2, 1, 1, 0, 4, 0, 4, 1, 3, 1, 3, 3, 0]
pubkeycol770 = [0, 4, 2, 0, 3, 2, 2, 1, 4, 0, 3, 2, 0, 4, 4, 3, 4, 4, 1, 0, 2, 3, 0, 1, 4, 2, 2, 4, 4, 1, 2, 0, 1, 2, 3, 4, 4, 1, 2, 4, 2, 1, 1, 2, 1, 4, 2, 4, 0, 3, 3, 3, 2, 1, 2, 2, 4, 4, 4, 0, 0, 2, 0, 0, 4, 4, 1, 4, 0, 0, 1, 4, 3, 2, 4, 4, 0, 0, 1, 2, 0, 1, 2, 4, 4, 2, 2, 4, 3, 1, 0, 0, 4, 3, 3, 3, 3, 2, 1, 0, 1, 0, 4, 3, 4, 1, 2, 4, 1, 1, 4, 4, 2, 4, 0, 2, 0, 2, 2, 4, 3, 1, 2, 2, 4, 2, 0, 1, 3, 3, 3, 1, 4, 2, 0, 2, 3, 1, 0, 4, 2, 1, 1, 2, 4, 3, 2, 0, 0, 2, 0, 4, 1, 1, 0, 4, 1, 4, 1, 2, 2, 0, 0, 1, 3, 4, 0, 2, 3, 4, 0, 4, 3, 2, 2, 4, 1, 3, 1, 4, 4, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 4, 4, 1, 1, 2, 0, 1, 3, 2, 1, 4, 0, 1, 2, 1, 2, 0, 3, 3, 1, 3, 3, 3, 4, 3, 2, 3, 1, 2, 2, 2, 3, 0, 2, 4, 3, 1, 3, 0, 1, 1, 2, 4, 0, 1, 2, 3, 3, 1, 2, 3, 3, 0, 0, 1, 1, 3, 0, 0, 3, 2, 0, 0, 0, 1, 2, 0, 1, 3, 4, 1, 4, 1, 4, 3, 1, 0, 2, 2, 1, 3, 0, 4, 1, 1, 3, 0, 2, 0, 4, 0, 2, 2, 2, 0, 0, 1, 4, 3, 3, 2, 2, 2, 3, 1, 0, 3, 0, 0, 2, 0, 3, 0, 4, 3, 1, 2, 3, 0, 2, 0, 1, 4, 4, 2, 0, 4, 3, 3, 2, 4, 2, 1, 4, 1, 3, 0, 1, 1, 2, 1, 2, 1, 3, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 4, 2, 4, 3, 1, 3, 2, 4, 3, 3, 2, 4, 4, 0, 0, 1, 3, 1, 0, 0, 0, 3, 3, 4, 0, 0, 2, 3, 0, 4, 0, 4, 3, 4, 2, 4, 1, 3, 2, 4, 0, 4, 2, 4, 0, 1, 0, 4, 1, 4, 1, 1, 2, 2, 3, 4, 1, 4, 1, 1, 2, 4, 2, 2, 4, 1, 1, 0, 4, 4, 3, 0, 4, 0, 4, 0, 4, 2, 2, 3, 0, 0, 1, 3, 2, 0, 3, 2, 2, 2, 4, 4, 2, 1, 0, 0, 0, 4, 1, 0, 3, 1, 0, 1, 1, 2, 4, 0, 3, 3, 4, 4, 3, 0, 2, 2, 1, 0, 4, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 4, 1, 3, 0, 2, 4, 0, 2, 2, 2, 3, 2, 3, 4, 2, 1, 2, 2, 3, 3, 3, 0, 0, 3, 3, 3, 2]
pubkeycol771 = [4, 1, 2, 1, 0, 3, 4, 3, 4, 4, 4, 4, 4, 4, 3, 0, 0, 3, 1, 3, 1, 2, 1, 1, 2, 4, 2, 2, 3, 4, 0, 2, 2, 3, 3, 3, 0, 1, 4, 1, 3, 1, 2, 4, 3, 1, 1, 0, 3, 0, 3, 3, 2, 4, 4, 0, 0, 4, 2, 0, 0, 3, 3, 0, 0, 2, 4, 4, 4, 3, 0, 0, 1, 0, 4, 4, 3, 4, 1, 1, 2, 4, 1, 0, 3, 1, 2, 2, 4, 1, 3, 1, 0, 1, 0, 2, 0, 1, 2, 3, 4, 3, 1, 0, 2, 1, 1, 1, 0, 0, 3, 3, 4, 4, 3, 0, 2, 0, 4, 0, 1, 2, 4, 3, 3, 1, 4, 0, 3, 2, 1, 4, 2, 1, 4, 4, 3, 3, 0, 1, 4, 1, 1, 1, 2, 1, 0, 2, 3, 1, 2, 4, 4, 4, 2, 2, 0, 4, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 3, 2, 0, 0, 2, 4, 4, 1, 2, 0, 3, 4, 2, 3, 0, 1, 1, 2, 2, 3, 4, 3, 3, 2, 1, 0, 4, 3, 4, 0, 3, 3, 0, 4, 3, 4, 4, 1, 4, 3, 1, 0, 1, 3, 3, 0, 4, 2, 3, 1, 0, 4, 3, 4, 0, 3, 0, 0, 1, 1, 3, 3, 2, 4, 2, 2, 4, 0, 2, 0, 0, 2, 4, 2, 1, 3, 1, 3, 1, 4, 2, 4, 4, 4, 2, 0, 3, 4, 2, 0, 2, 1, 3, 2, 2, 1, 0, 3, 3, 3, 2, 1, 2, 1, 4, 3, 2, 4, 0, 1, 1, 1, 2, 1, 3, 0, 4, 4, 4, 4, 0, 1, 3, 4, 2, 0, 3, 0, 1, 4, 4, 3, 2, 3, 0, 2, 3, 1, 4, 0, 1, 1, 2, 2, 2, 1, 3, 2, 3, 4, 1, 2, 2, 4, 4, 0, 3, 1, 3, 4, 2, 3, 3, 1, 3, 0, 2, 4, 2, 0, 4, 4, 3, 3, 2, 1, 1, 1, 0, 4, 0, 2, 3, 1, 3, 4, 2, 2, 2, 2, 2, 3, 4, 3, 2, 3, 3, 3, 2, 4, 1, 4, 4, 3, 0, 0, 1, 4, 0, 0, 4, 3, 3, 0, 1, 4, 2, 0, 3, 1, 2, 0, 4, 4, 1, 3, 2, 0, 4, 4, 0, 3, 2, 3, 4, 1, 0, 0, 4, 4, 3, 2, 0, 2, 2, 3, 1, 3, 3, 3, 3, 2, 0, 3, 1, 4, 1, 0, 0, 3, 2, 4, 0, 4, 2, 1, 1, 2, 2, 2, 0, 1, 0, 3, 3, 3, 1, 1, 2, 0, 2, 3, 3, 3, 2, 4, 3, 3, 1, 1, 2, 4, 2, 0, 1, 3, 0, 0, 1, 4, 1, 0, 3, 4, 4, 4, 4, 1, 3, 4, 3, 0, 2, 0, 2, 4, 0, 3, 1, 4, 0, 2, 3, 1, 4, 4, 0, 0, 0, 1, 0, 3, 2, 0, 1, 2]
pubkeycol772 = [0, 1, 2, 1, 0, 3, 1, 3, 0, 0, 2, 1, 0, 3, 1, 0, 0, 4, 4, 2, 1, 1, 3, 2, 1, 0, 0, 4, 2, 2, 2, 4, 4, 3, 3, 1, 0, 1, 2, 0, 2, 4, 2, 1, 2, 3, 3, 1, 0, 0, 0, 2, 3, 4, 2, 1, 1, 2, 3, 4, 3, 0, 0, 0, 1, 3, 2, 0, 4, 3, 1, 0, 4, 2, 3, 3, 0, 3, 0, 4, 0, 2, 1, 2, 4, 2, 2, 0, 2, 0, 4, 2, 2, 3, 0, 0, 1, 1, 2, 3, 0, 2, 1, 3, 2, 4, 3, 2, 0, 1, 3, 1, 1, 3, 0, 2, 2, 1, 0, 4, 2, 2, 2, 3, 3, 2, 3, 3, 2, 0, 0, 2, 3, 2, 1, 2, 4, 2, 4, 4, 3, 1, 0, 3, 0, 4, 1, 1, 4, 0, 3, 2, 1, 3, 2, 4, 1, 2, 4, 1, 2, 1, 0, 1, 3, 1, 0, 1, 4, 3, 1, 2, 2, 4, 1, 3, 4, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 3, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 3, 4, 3, 4, 1, 0, 4, 3, 2, 2, 4, 0, 2, 2, 2, 1, 1, 1, 3, 1, 3, 4, 3, 4, 0, 0, 2, 3, 0, 2, 3, 0, 4, 3, 2, 2, 4, 4, 4, 2, 2, 0, 0, 2, 2, 0, 3, 0, 2, 2, 4, 0, 3, 3, 1, 1, 3, 4, 3, 1, 3, 0, 1, 3, 4, 4, 0, 2, 0, 1, 4, 4, 0, 4, 0, 0, 2, 2, 1, 2, 2, 1, 3, 4, 3, 0, 4, 1, 4, 1, 3, 0, 4, 0, 2, 4, 4, 2, 4, 3, 4, 1, 3, 2, 1, 1, 1, 1, 0, 0, 3, 3, 1, 3, 2, 2, 2, 3, 2, 2, 0, 2, 4, 3, 4, 2, 4, 0, 1, 4, 2, 1, 3, 0, 3, 3, 1, 2, 4, 2, 4, 4, 1, 4, 2, 1, 0, 3, 3, 4, 2, 2, 3, 1, 2, 2, 4, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 3, 4, 2, 2, 2, 1, 0, 3, 1, 2, 2, 0, 4, 2, 4, 4, 2, 0, 3, 0, 1, 1, 0, 2, 4, 1, 4, 4, 2, 4, 4, 4, 2, 3, 3, 0, 4, 0, 3, 3, 3, 0, 1, 3, 4, 4, 1, 0, 0, 4, 2, 3, 4, 3, 4, 3, 0, 2, 2, 2, 4, 2, 2, 3, 1, 0, 3, 4, 4, 3, 1, 1, 1, 2, 0, 1, 4, 1, 2, 0, 1, 2, 2, 4, 4, 4, 4, 3, 0, 3, 3, 2, 4, 1, 1, 4, 1, 0, 3, 2, 2, 0, 1, 4, 1, 0, 4, 4, 2, 3, 3, 4, 0, 4, 2, 3, 0, 2, 0, 2, 0, 3, 1, 1, 4, 2, 0, 4, 0, 1, 1, 4, 3, 2, 2, 2, 2, 2, 2]
pubkeycol773 = [0, 0, 0, 2, 1, 1, 4, 2, 2, 1, 1, 1, 3, 4, 4, 3, 2, 4, 0, 0, 0, 4, 3, 1, 3, 2, 3, 3, 1, 4, 2, 0, 2, 2, 0, 3, 1, 2, 4, 2, 3, 2, 1, 0, 4, 2, 3, 4, 3, 4, 1, 0, 3, 4, 1, 4, 4, 1, 0, 2, 2, 2, 2, 3, 0, 2, 0, 4, 4, 2, 4, 0, 0, 0, 4, 2, 2, 4, 2, 4, 4, 2, 1, 3, 1, 3, 2, 0, 0, 1, 4, 2, 4, 2, 4, 1, 2, 4, 4, 4, 4, 3, 1, 2, 4, 4, 1, 3, 3, 0, 1, 3, 0, 1, 4, 0, 0, 1, 4, 0, 0, 1, 3, 2, 0, 0, 0, 1, 2, 1, 0, 2, 4, 0, 2, 3, 1, 1, 4, 1, 0, 0, 1, 1, 4, 2, 3, 1, 4, 3, 1, 1, 3, 2, 0, 3, 0, 1, 3, 1, 0, 0, 2, 2, 2, 1, 1, 3, 2, 4, 0, 1, 2, 4, 3, 4, 2, 0, 1, 2, 0, 2, 4, 4, 1, 4, 4, 2, 0, 0, 4, 1, 4, 2, 4, 2, 0, 1, 1, 4, 1, 1, 1, 2, 2, 4, 0, 0, 3, 3, 4, 4, 1, 0, 3, 2, 1, 1, 4, 2, 0, 2, 0, 3, 1, 2, 3, 4, 0, 4, 4, 2, 4, 4, 2, 1, 0, 0, 1, 0, 3, 1, 3, 2, 0, 4, 4, 2, 2, 0, 3, 0, 0, 0, 4, 0, 1, 0, 2, 0, 1, 1, 0, 2, 3, 4, 1, 1, 0, 0, 3, 3, 0, 3, 1, 3, 2, 1, 3, 1, 1, 4, 4, 1, 3, 0, 3, 0, 2, 1, 3, 2, 4, 0, 1, 1, 0, 2, 0, 3, 0, 3, 4, 3, 2, 1, 1, 4, 2, 2, 1, 2, 0, 4, 4, 3, 4, 4, 2, 3, 0, 2, 1, 3, 1, 1, 3, 2, 3, 0, 2, 4, 3, 3, 1, 0, 4, 1, 0, 0, 0, 1, 3, 0, 2, 3, 1, 2, 4, 4, 0, 2, 0, 3, 2, 0, 3, 0, 0, 2, 1, 1, 0, 1, 4, 4, 3, 1, 0, 2, 2, 2, 4, 1, 2, 0, 2, 3, 1, 0, 4, 4, 2, 1, 1, 4, 3, 2, 2, 3, 4, 4, 4, 2, 3, 0, 1, 4, 3, 3, 3, 2, 2, 1, 2, 3, 3, 2, 1, 1, 2, 2, 4, 1, 1, 1, 3, 1, 3, 0, 2, 3, 3, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 4, 3, 2, 3, 0, 3, 2, 2, 4, 1, 2, 0, 3, 1, 2, 3, 3, 3, 4, 0, 2, 2, 1, 1, 3, 4, 2, 0, 1, 0, 3, 1, 0, 1, 2, 3, 2, 2, 1, 0, 3, 3, 3, 0, 2, 2, 2, 1, 2, 4, 3, 4, 4, 0, 2, 0, 0, 1, 2, 2, 4, 3, 1, 2, 4, 2, 4, 2, 4, 1, 2]
pubkeycol774 = [4, 2, 2, 4, 2, 1, 2, 2, 1, 2, 1, 3, 2, 2, 3, 3, 4, 4, 4, 0, 0, 0, 2, 3, 1, 3, 1, 2, 2, 3, 4, 0, 2, 1, 3, 1, 4, 1, 1, 1, 2, 3, 4, 2, 1, 4, 4, 3, 2, 2, 1, 3, 1, 0, 2, 3, 4, 3, 4, 4, 2, 3, 1, 0, 4, 1, 4, 1, 3, 0, 0, 4, 2, 3, 1, 2, 4, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 4, 1, 2, 1, 0, 3, 2, 2, 0, 1, 1, 0, 4, 1, 0, 0, 0, 1, 2, 2, 2, 4, 4, 4, 2, 4, 3, 1, 0, 2, 2, 1, 2, 4, 1, 0, 2, 0, 4, 3, 0, 1, 0, 3, 1, 3, 3, 4, 0, 3, 4, 2, 3, 2, 0, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 4, 3, 2, 0, 2, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 1, 2, 3, 2, 2, 4, 1, 3, 2, 1, 2, 0, 0, 1, 2, 2, 0, 4, 0, 2, 0, 1, 3, 0, 4, 3, 0, 3, 4, 2, 4, 1, 2, 1, 4, 1, 1, 1, 4, 3, 4, 1, 3, 3, 3, 0, 3, 1, 1, 3, 4, 4, 4, 4, 1, 3, 3, 4, 1, 1, 0, 3, 2, 1, 1, 0, 4, 4, 2, 4, 1, 0, 4, 0, 2, 0, 4, 0, 1, 3, 0, 4, 1, 2, 1, 3, 3, 3, 4, 3, 1, 0, 3, 0, 1, 2, 0, 0, 0, 3, 1, 1, 4, 0, 3, 0, 1, 0, 2, 4, 3, 4, 3, 2, 4, 0, 0, 4, 0, 0, 1, 1, 4, 4, 4, 3, 1, 2, 2, 3, 3, 0, 3, 1, 0, 1, 1, 1, 2, 0, 3, 0, 0, 3, 0, 3, 4, 4, 4, 4, 3, 0, 3, 3, 4, 3, 4, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 4, 1, 4, 0, 1, 3, 3, 4, 3, 2, 2, 0, 1, 0, 3, 2, 0, 1, 3, 3, 2, 0, 1, 2, 4, 3, 3, 0, 4, 4, 3, 0, 2, 2, 2, 2, 0, 1, 0, 4, 4, 0, 2, 3, 0, 2, 2, 3, 4, 3, 4, 0, 4, 4, 1, 3, 2, 3, 2, 1, 3, 2, 0, 3, 0, 0, 1, 4, 3, 2, 3, 4, 1, 1, 0, 2, 1, 3, 4, 4, 3, 3, 4, 2, 1, 2, 4, 1, 4, 1, 0, 1, 2, 0, 4, 4, 1, 1, 4, 0, 3, 0, 2, 2, 4, 3, 3, 1, 4, 3, 4, 4, 3, 1, 0, 1, 0, 1, 4, 2, 2, 4, 0, 2, 2, 1, 0, 0, 4, 4, 1, 4, 2, 3, 4, 2, 1, 1, 0, 4, 4, 3, 2, 2, 2, 2, 4, 1, 0, 2, 3, 0, 3, 2, 0, 1, 0, 2, 0, 3, 4, 1, 1, 0, 2, 0, 4, 1, 3]
pubkeycol775 = [0, 4, 2, 4, 2, 1, 2, 0, 0, 3, 2, 3, 3, 4, 2, 3, 1, 4, 4, 4, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 3, 3, 3, 3, 2, 4, 3, 3, 2, 3, 1, 1, 2, 2, 3, 4, 4, 2, 4, 4, 1, 0, 3, 3, 2, 0, 0, 4, 3, 2, 2, 3, 4, 2, 3, 2, 0, 1, 4, 1, 3, 2, 2, 2, 0, 1, 4, 2, 4, 2, 4, 2, 1, 3, 0, 0, 1, 1, 2, 3, 3, 0, 2, 1, 1, 0, 3, 2, 0, 4, 3, 4, 4, 2, 3, 1, 2, 0, 2, 3, 0, 1, 3, 1, 1, 1, 1, 0, 2, 4, 4, 4, 3, 3, 4, 3, 2, 4, 0, 3, 4, 3, 3, 0, 1, 2, 3, 0, 2, 0, 1, 2, 0, 4, 2, 2, 4, 1, 3, 1, 4, 4, 2, 0, 2, 1, 2, 4, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 4, 2, 2, 4, 2, 4, 4, 4, 4, 1, 2, 3, 3, 4, 4, 3, 2, 3, 3, 4, 3, 2, 1, 2, 2, 1, 2, 4, 2, 0, 4, 2, 0, 3, 2, 2, 4, 3, 1, 2, 0, 2, 0, 3, 3, 4, 4, 1, 2, 2, 3, 2, 1, 0, 2, 3, 0, 1, 1, 2, 0, 0, 2, 0, 4, 0, 0, 1, 4, 1, 4, 2, 4, 3, 4, 4, 0, 0, 2, 0, 0, 1, 4, 1, 0, 4, 3, 3, 3, 0, 3, 1, 4, 0, 1, 3, 2, 0, 3, 1, 1, 2, 1, 0, 2, 0, 4, 4, 0, 0, 4, 3, 3, 2, 4, 3, 2, 4, 1, 4, 2, 1, 0, 4, 3, 4, 3, 1, 1, 1, 1, 4, 4, 2, 3, 4, 0, 3, 0, 1, 0, 1, 1, 3, 2, 1, 4, 1, 1, 1, 2, 0, 0, 3, 2, 0, 4, 2, 4, 3, 2, 4, 4, 4, 1, 0, 2, 0, 4, 1, 3, 3, 4, 1, 2, 0, 2, 0, 4, 3, 2, 0, 4, 4, 4, 3, 4, 3, 0, 1, 0, 1, 3, 1, 1, 2, 2, 4, 2, 0, 4, 3, 2, 0, 0, 2, 0, 3, 2, 1, 3, 0, 1, 1, 4, 0, 2, 1, 0, 1, 2, 4, 1, 1, 3, 4, 1, 1, 3, 0, 4, 4, 0, 2, 3, 0, 0, 0, 4, 0, 3, 0, 1, 2, 0, 4, 1, 2, 0, 2, 2, 0, 3, 4, 4, 0, 3, 3, 2, 2, 2, 4, 3, 0, 2, 3, 2, 2, 2, 1, 1, 3, 3, 1, 1, 0, 2, 1, 3, 4, 0, 4, 0, 4, 2, 4, 3, 4, 1, 3, 4, 4, 4, 3, 3, 2, 2, 0, 4, 0, 3, 3, 1, 4, 2, 1, 3, 2, 0, 4, 0, 4, 2, 1, 1, 1, 3, 3, 0, 1, 4, 4, 0, 4, 4, 3, 4, 0, 4, 3, 3, 1, 0, 1, 1, 2]
pubkeycol776 = [1, 4, 0, 4, 4, 4, 2, 2, 3, 1, 1, 4, 1, 0, 1, 4, 2, 4, 2, 2, 4, 3, 4, 2, 4, 1, 0, 2, 3, 1, 1, 4, 3, 3, 2, 2, 4, 4, 3, 4, 0, 3, 2, 1, 2, 0, 4, 4, 4, 3, 4, 3, 1, 1, 4, 4, 1, 4, 2, 1, 3, 1, 0, 1, 0, 2, 1, 4, 0, 2, 2, 1, 3, 4, 2, 0, 2, 3, 1, 3, 3, 0, 2, 0, 0, 4, 2, 1, 2, 2, 2, 1, 0, 3, 1, 1, 1, 3, 3, 4, 2, 4, 0, 1, 1, 1, 3, 3, 2, 3, 3, 1, 4, 0, 4, 0, 4, 2, 1, 0, 2, 2, 1, 1, 0, 0, 4, 0, 1, 3, 2, 0, 2, 0, 3, 2, 4, 3, 3, 4, 4, 1, 2, 1, 2, 1, 0, 4, 1, 0, 4, 0, 4, 3, 0, 0, 4, 4, 3, 1, 3, 3, 2, 1, 3, 3, 1, 1, 4, 1, 3, 1, 0, 2, 1, 3, 2, 4, 0, 0, 1, 2, 3, 0, 1, 3, 2, 3, 4, 3, 0, 0, 0, 0, 1, 4, 4, 1, 4, 3, 0, 1, 2, 4, 4, 4, 0, 2, 1, 2, 1, 4, 2, 1, 4, 3, 1, 2, 2, 2, 4, 1, 4, 2, 4, 0, 4, 0, 0, 2, 4, 1, 0, 1, 0, 1, 0, 4, 0, 1, 2, 0, 4, 2, 2, 3, 0, 0, 0, 4, 0, 4, 2, 2, 2, 2, 2, 0, 1, 1, 3, 0, 2, 1, 2, 1, 3, 1, 2, 0, 2, 1, 1, 2, 1, 0, 4, 2, 2, 2, 3, 0, 1, 3, 3, 3, 4, 3, 4, 2, 0, 1, 1, 2, 3, 4, 0, 2, 2, 0, 3, 2, 3, 3, 0, 4, 3, 1, 2, 4, 3, 0, 2, 3, 0, 1, 0, 1, 1, 4, 0, 1, 0, 2, 3, 1, 2, 1, 2, 4, 0, 0, 1, 2, 2, 1, 3, 2, 4, 2, 3, 1, 4, 2, 2, 3, 2, 4, 3, 2, 4, 1, 1, 3, 1, 4, 2, 3, 1, 4, 1, 4, 3, 3, 2, 4, 3, 3, 4, 2, 0, 3, 1, 4, 1, 4, 1, 1, 4, 2, 1, 3, 4, 4, 4, 1, 3, 1, 1, 3, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 4, 2, 2, 3, 0, 4, 1, 4, 2, 4, 1, 4, 2, 0, 1, 3, 4, 1, 2, 4, 1, 2, 0, 4, 4, 2, 1, 2, 3, 2, 0, 0, 3, 2, 3, 3, 1, 4, 3, 4, 4, 0, 3, 1, 3, 2, 3, 3, 1, 1, 0, 1, 1, 3, 3, 4, 1, 3, 4, 1, 1, 4, 2, 2, 3, 4, 1, 4, 3, 1, 0, 3, 3, 4, 3, 1, 0, 0, 4, 4, 0, 1, 1, 3, 2, 0, 4, 4, 0, 1, 1, 4, 2, 0, 2, 2, 0, 3, 3, 2, 0, 0]
pubkeycol777 = [0, 0, 2, 3, 1, 1, 1, 2, 0, 3, 3, 2, 4, 3, 3, 2, 4, 3, 2, 2, 0, 0, 1, 0, 2, 0, 0, 4, 2, 0, 1, 4, 4, 3, 1, 2, 4, 4, 2, 2, 1, 1, 4, 1, 2, 2, 3, 1, 1, 2, 2, 1, 2, 3, 3, 4, 3, 1, 0, 4, 2, 2, 4, 1, 4, 4, 3, 0, 2, 0, 0, 1, 0, 2, 1, 2, 4, 2, 2, 1, 3, 3, 1, 1, 0, 3, 1, 2, 1, 2, 4, 1, 1, 4, 3, 4, 3, 4, 2, 3, 0, 4, 2, 0, 2, 2, 1, 2, 0, 3, 3, 3, 3, 4, 2, 4, 4, 3, 0, 3, 1, 1, 2, 0, 1, 1, 2, 4, 1, 0, 1, 2, 0, 4, 3, 0, 3, 3, 4, 0, 2, 0, 3, 3, 2, 3, 0, 2, 1, 0, 2, 0, 0, 2, 3, 1, 0, 1, 2, 4, 3, 0, 3, 3, 2, 4, 1, 0, 3, 1, 4, 4, 0, 4, 3, 4, 4, 3, 3, 1, 0, 0, 3, 0, 3, 0, 0, 3, 4, 3, 4, 3, 2, 1, 3, 3, 0, 0, 0, 0, 0, 2, 4, 2, 3, 3, 0, 4, 3, 2, 4, 0, 4, 0, 4, 2, 1, 0, 1, 3, 0, 3, 4, 1, 1, 4, 4, 4, 0, 4, 3, 2, 0, 4, 0, 1, 4, 2, 3, 2, 0, 0, 3, 2, 3, 0, 0, 4, 3, 2, 3, 1, 1, 1, 4, 2, 0, 0, 2, 4, 4, 2, 3, 3, 2, 3, 3, 1, 1, 0, 2, 2, 4, 1, 3, 4, 1, 1, 1, 2, 0, 0, 1, 1, 3, 4, 2, 2, 1, 2, 1, 1, 4, 2, 1, 1, 3, 0, 3, 2, 3, 1, 2, 4, 1, 4, 1, 1, 4, 3, 0, 1, 2, 1, 2, 1, 1, 1, 0, 4, 3, 4, 0, 0, 0, 0, 4, 1, 2, 1, 0, 0, 0, 2, 2, 4, 1, 0, 2, 2, 4, 2, 0, 1, 0, 2, 0, 1, 4, 2, 1, 4, 1, 2, 3, 3, 0, 4, 4, 1, 2, 4, 4, 3, 1, 3, 0, 0, 3, 1, 0, 1, 0, 1, 2, 1, 4, 0, 0, 3, 4, 0, 0, 1, 4, 3, 4, 2, 4, 3, 1, 4, 0, 4, 4, 0, 2, 3, 0, 2, 1, 2, 1, 4, 0, 3, 4, 2, 2, 1, 1, 2, 0, 1, 2, 2, 3, 3, 4, 4, 4, 1, 2, 3, 0, 0, 0, 1, 4, 1, 3, 3, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 4, 4, 2, 3, 1, 1, 2, 2, 4, 3, 4, 0, 4, 1, 1, 0, 2, 0, 3, 3, 2, 2, 4, 1, 1, 4, 1, 2, 0, 2, 0, 0, 0, 4, 0, 1, 1, 3, 4, 1, 3, 2, 4, 4, 2, 3, 4, 1, 0, 2, 0, 3, 0, 3, 3, 0, 3, 1, 4, 2, 0, 4]
pubkeycol778 = [0, 2, 4, 0, 1, 0, 3, 0, 4, 0, 1, 2, 3, 3, 4, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 2, 3, 4, 4, 0, 0, 3, 2, 2, 4, 2, 3, 4, 4, 0, 4, 1, 4, 1, 1, 1, 3, 2, 3, 2, 0, 1, 4, 1, 2, 2, 3, 0, 4, 2, 2, 3, 1, 0, 1, 0, 3, 3, 4, 3, 4, 3, 4, 0, 3, 2, 4, 4, 2, 3, 1, 1, 2, 0, 2, 1, 2, 4, 2, 4, 1, 3, 0, 3, 0, 2, 4, 3, 1, 1, 0, 3, 1, 4, 0, 1, 1, 4, 2, 4, 1, 4, 1, 3, 2, 4, 2, 3, 4, 0, 3, 0, 0, 2, 2, 1, 4, 1, 4, 3, 0, 1, 3, 3, 4, 3, 2, 0, 3, 0, 0, 2, 1, 2, 4, 0, 2, 0, 0, 1, 0, 3, 4, 0, 0, 0, 4, 3, 0, 4, 0, 2, 0, 1, 4, 3, 2, 3, 3, 2, 2, 0, 0, 1, 1, 4, 3, 1, 2, 1, 4, 3, 0, 0, 1, 1, 4, 3, 4, 3, 2, 4, 1, 0, 1, 2, 3, 4, 1, 0, 4, 0, 1, 1, 4, 2, 4, 0, 4, 4, 0, 1, 1, 2, 2, 4, 2, 4, 0, 2, 2, 1, 0, 2, 4, 2, 2, 3, 0, 3, 1, 1, 3, 4, 0, 2, 4, 4, 3, 2, 1, 3, 3, 4, 3, 2, 3, 0, 1, 3, 0, 4, 4, 1, 0, 2, 0, 3, 1, 3, 4, 2, 0, 0, 1, 1, 3, 2, 3, 1, 0, 1, 4, 4, 3, 0, 1, 1, 1, 1, 1, 0, 3, 4, 0, 1, 2, 4, 1, 1, 2, 4, 3, 4, 0, 3, 1, 2, 4, 2, 1, 4, 4, 4, 1, 0, 1, 3, 1, 3, 4, 0, 1, 1, 3, 3, 4, 2, 4, 0, 0, 2, 4, 0, 4, 3, 4, 2, 0, 1, 2, 4, 2, 0, 1, 0, 0, 4, 2, 4, 4, 4, 2, 3, 4, 1, 3, 2, 4, 1, 0, 2, 4, 0, 3, 1, 0, 1, 2, 3, 1, 4, 3, 4, 1, 3, 2, 4, 1, 1, 4, 0, 3, 4, 0, 3, 3, 1, 4, 0, 3, 3, 0, 0, 0, 2, 1, 3, 3, 3, 2, 0, 0, 2, 0, 2, 0, 4, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 3, 4, 1, 4, 1, 4, 4, 3, 0, 2, 0, 2, 0, 2, 0, 4, 1, 4, 0, 0, 0, 1, 3, 0, 1, 0, 4, 4, 1, 2, 3, 1, 0, 4, 3, 0, 2, 1, 3, 4, 0, 0, 0, 0, 4, 3, 4, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 4, 0, 2, 1, 0, 1, 1, 3, 1, 2, 3, 3, 1, 3, 2, 2, 3, 4, 2, 0, 1, 2, 0, 3, 0, 3, 2, 0, 2, 2, 0, 0, 2]
pubkeycol779 = [0, 3, 4, 4, 4, 3, 2, 4, 1, 3, 2, 2, 0, 2, 3, 1, 2, 3, 1, 1, 1, 4, 2, 1, 2, 1, 0, 4, 4, 2, 2, 2, 4, 4, 0, 0, 2, 4, 0, 4, 4, 4, 4, 1, 4, 1, 1, 0, 1, 4, 4, 4, 0, 2, 0, 1, 3, 2, 1, 0, 0, 2, 2, 4, 0, 2, 2, 2, 2, 4, 3, 3, 2, 3, 3, 1, 1, 4, 0, 3, 2, 1, 4, 4, 0, 1, 3, 4, 4, 2, 2, 4, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 4, 0, 3, 3, 0, 0, 1, 0, 4, 3, 0, 2, 2, 3, 0, 3, 3, 4, 0, 3, 3, 4, 1, 1, 2, 1, 1, 0, 4, 4, 1, 3, 4, 3, 3, 0, 3, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 3, 2, 3, 0, 3, 1, 1, 2, 0, 2, 0, 3, 2, 2, 4, 1, 4, 1, 3, 2, 4, 1, 4, 4, 3, 2, 3, 0, 0, 1, 0, 0, 2, 4, 1, 3, 4, 3, 0, 0, 2, 0, 4, 2, 3, 3, 4, 3, 3, 1, 1, 3, 0, 4, 2, 4, 3, 4, 0, 4, 0, 1, 0, 0, 3, 2, 2, 2, 4, 4, 2, 3, 4, 0, 0, 3, 1, 4, 2, 0, 3, 0, 0, 4, 2, 3, 3, 1, 2, 4, 0, 2, 2, 1, 2, 3, 1, 2, 0, 3, 2, 1, 1, 3, 4, 0, 4, 4, 0, 4, 0, 3, 1, 3, 3, 2, 4, 3, 2, 3, 4, 1, 1, 4, 1, 3, 3, 2, 2, 0, 0, 4, 3, 2, 1, 4, 4, 2, 1, 0, 4, 4, 0, 2, 1, 4, 2, 0, 2, 4, 1, 3, 3, 0, 1, 0, 1, 0, 3, 2, 4, 2, 0, 4, 4, 1, 0, 4, 0, 4, 3, 4, 1, 3, 1, 0, 2, 3, 1, 1, 0, 1, 2, 0, 2, 4, 1, 3, 1, 3, 1, 4, 3, 2, 2, 0, 1, 3, 2, 1, 1, 1, 2, 1, 2, 1, 4, 1, 1, 1, 3, 1, 2, 0, 2, 1, 0, 3, 3, 3, 0, 4, 0, 2, 1, 3, 2, 0, 0, 4, 3, 2, 3, 3, 0, 2, 3, 4, 4, 1, 2, 2, 0, 4, 0, 0, 2, 1, 1, 0, 4, 1, 2, 3, 3, 3, 2, 2, 0, 4, 1, 4, 3, 3, 3, 1, 3, 2, 1, 0, 3, 4, 0, 3, 3, 3, 2, 4, 4, 0, 4, 3, 2, 4, 4, 4, 1, 4, 2, 2, 1, 3, 1, 4, 1, 2, 4, 3, 1, 3, 3, 1, 4, 3, 3, 2, 3, 3, 2, 4, 3, 0, 0, 3, 4, 1, 3, 4, 3, 1, 3, 3, 3, 4, 4, 2, 4, 3, 4, 4, 3, 3, 3, 1, 3, 3, 2, 0, 0, 4, 2, 2, 3, 0, 0, 1, 0, 4, 0, 0, 3, 1, 2, 2, 4]
pubkeycol780 = [4, 1, 4, 0, 0, 4, 2, 4, 3, 4, 4, 1, 4, 2, 1, 0, 0, 2, 3, 2, 4, 0, 3, 4, 1, 2, 3, 2, 1, 3, 4, 0, 1, 2, 1, 0, 0, 1, 3, 1, 3, 4, 1, 3, 1, 3, 0, 0, 3, 1, 4, 1, 1, 2, 3, 2, 0, 3, 1, 4, 3, 0, 1, 3, 2, 3, 0, 1, 4, 4, 3, 2, 3, 1, 3, 2, 0, 0, 3, 0, 4, 1, 2, 4, 2, 3, 2, 0, 2, 2, 0, 3, 3, 4, 3, 4, 0, 2, 3, 1, 0, 0, 2, 4, 3, 4, 2, 1, 1, 2, 3, 1, 3, 2, 3, 3, 0, 3, 4, 2, 1, 4, 2, 3, 4, 1, 3, 0, 2, 1, 3, 2, 0, 2, 4, 1, 2, 4, 2, 2, 3, 3, 1, 2, 2, 4, 2, 0, 0, 0, 0, 1, 1, 2, 4, 2, 2, 3, 0, 4, 2, 0, 0, 1, 4, 0, 2, 4, 1, 2, 0, 4, 1, 4, 3, 0, 3, 4, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 3, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 3, 3, 0, 1, 0, 2, 4, 2, 1, 4, 1, 1, 2, 1, 2, 0, 2, 3, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 4, 4, 2, 1, 2, 3, 2, 3, 1, 0, 0, 1, 2, 4, 1, 3, 2, 1, 0, 0, 2, 0, 3, 4, 4, 1, 0, 2, 0, 2, 4, 2, 1, 4, 2, 4, 1, 4, 3, 4, 0, 4, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 1, 2, 4, 4, 4, 3, 3, 3, 0, 1, 4, 2, 4, 2, 4, 1, 2, 2, 1, 2, 3, 2, 1, 4, 3, 2, 2, 0, 4, 1, 0, 4, 1, 3, 1, 0, 1, 4, 0, 3, 4, 2, 2, 2, 1, 0, 2, 0, 2, 3, 3, 3, 1, 1, 2, 1, 3, 0, 0, 4, 1, 1, 4, 3, 3, 1, 3, 3, 4, 2, 0, 4, 0, 0, 2, 3, 4, 0, 0, 3, 1, 0, 0, 4, 4, 0, 2, 4, 2, 1, 2, 2, 2, 0, 1, 2, 3, 3, 1, 4, 1, 2, 0, 3, 4, 3, 2, 0, 0, 4, 4, 4, 1, 1, 4, 2, 4, 0, 3, 2, 4, 1, 2, 1, 2, 1, 1, 4, 0, 4, 2, 0, 4, 0, 1, 1, 4, 0, 2, 2, 1, 1, 1, 3, 0, 1, 1, 2, 2, 1, 4, 4, 4, 2, 2, 2, 1, 2, 4, 3, 3, 1, 4, 1, 0, 1, 2, 4, 4, 4, 4, 4, 1, 4, 2, 4, 1, 0, 4, 2, 4, 2, 0, 4, 0, 4, 1, 0, 3, 4, 2, 2, 2, 3, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 4, 2, 0, 2, 4, 4, 2]
pubkeycol781 = [2, 4, 3, 4, 1, 4, 3, 3, 3, 3, 2, 2, 0, 4, 4, 2, 1, 1, 3, 3, 2, 4, 3, 4, 2, 2, 0, 1, 3, 2, 1, 4, 3, 0, 3, 2, 1, 4, 4, 3, 4, 1, 3, 0, 4, 2, 0, 0, 4, 0, 1, 2, 4, 4, 3, 1, 0, 4, 2, 3, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 3, 3, 3, 0, 1, 1, 3, 4, 4, 4, 0, 1, 4, 0, 3, 4, 0, 1, 2, 1, 4, 3, 0, 2, 2, 1, 3, 1, 0, 4, 3, 4, 2, 4, 0, 0, 3, 3, 0, 0, 4, 1, 1, 1, 2, 3, 2, 4, 2, 1, 4, 4, 1, 1, 1, 3, 1, 3, 1, 4, 3, 3, 0, 2, 2, 4, 2, 1, 0, 4, 2, 1, 3, 4, 3, 2, 0, 4, 0, 1, 1, 1, 1, 2, 2, 0, 1, 4, 2, 1, 2, 2, 2, 1, 1, 2, 1, 3, 1, 1, 2, 0, 0, 0, 2, 2, 3, 3, 2, 0, 3, 2, 1, 2, 1, 3, 3, 0, 1, 3, 2, 3, 3, 2, 1, 0, 2, 0, 3, 3, 4, 1, 2, 1, 0, 1, 1, 0, 3, 2, 2, 2, 1, 0, 2, 4, 0, 0, 3, 4, 1, 3, 2, 4, 1, 2, 2, 0, 2, 1, 1, 1, 1, 3, 1, 3, 0, 2, 2, 2, 1, 3, 1, 2, 4, 1, 3, 2, 2, 4, 1, 4, 3, 4, 2, 1, 0, 4, 3, 1, 2, 1, 0, 4, 0, 1, 4, 0, 0, 0, 1, 0, 1, 0, 2, 4, 0, 1, 2, 4, 3, 0, 4, 2, 2, 4, 1, 3, 4, 0, 0, 4, 4, 4, 0, 0, 4, 3, 4, 3, 3, 1, 1, 4, 3, 2, 4, 3, 4, 2, 2, 1, 3, 3, 1, 1, 4, 2, 2, 4, 0, 2, 2, 0, 1, 0, 2, 3, 0, 3, 0, 4, 4, 4, 4, 0, 1, 4, 3, 1, 4, 4, 4, 0, 0, 2, 2, 0, 0, 1, 2, 4, 4, 4, 4, 1, 0, 1, 0, 1, 4, 4, 2, 0, 0, 2, 2, 1, 2, 3, 0, 1, 3, 3, 0, 4, 3, 0, 2, 0, 0, 0, 3, 0, 2, 0, 4, 0, 3, 0, 4, 3, 3, 1, 1, 4, 3, 3, 3, 1, 3, 2, 3, 4, 0, 2, 1, 4, 0, 3, 3, 4, 0, 3, 4, 0, 3, 3, 4, 3, 4, 0, 3, 1, 1, 3, 3, 2, 1, 2, 2, 3, 3, 1, 2, 1, 2, 3, 2, 1, 3, 4, 4, 1, 4, 1, 0, 1, 1, 2, 0, 3, 3, 0, 3, 3, 2, 0, 1, 3, 3, 1, 0, 2, 0, 2, 4, 1, 3, 3, 2, 2, 4, 3, 1, 1, 1, 2, 0, 2, 2, 3, 0, 2, 4, 4, 4, 3, 3, 0, 1, 0, 2, 4, 3, 2, 4, 2, 4, 2, 2, 1, 1, 4, 4]
pubkeycol782 = [4, 4, 4, 1, 0, 1, 0, 1, 2, 3, 0, 4, 0, 4, 0, 3, 3, 1, 4, 4, 2, 2, 0, 4, 1, 4, 4, 2, 3, 3, 2, 2, 1, 2, 3, 0, 3, 2, 3, 0, 0, 0, 1, 3, 3, 2, 3, 3, 0, 2, 3, 1, 1, 3, 2, 4, 4, 1, 2, 0, 2, 1, 0, 3, 3, 2, 1, 3, 3, 3, 2, 1, 3, 1, 2, 3, 4, 1, 2, 0, 4, 1, 3, 2, 1, 1, 0, 3, 3, 4, 4, 2, 4, 4, 2, 0, 3, 4, 4, 2, 2, 1, 3, 0, 1, 2, 1, 1, 2, 4, 3, 3, 2, 4, 0, 1, 1, 3, 4, 3, 3, 0, 3, 1, 2, 4, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 3, 4, 0, 3, 0, 3, 0, 4, 2, 2, 1, 3, 3, 0, 3, 2, 2, 3, 3, 1, 3, 1, 2, 0, 2, 4, 4, 1, 3, 2, 1, 4, 0, 0, 0, 3, 1, 1, 4, 3, 1, 3, 3, 3, 4, 4, 3, 0, 0, 3, 2, 3, 2, 0, 4, 2, 0, 1, 4, 3, 0, 4, 1, 0, 3, 0, 3, 4, 3, 0, 3, 3, 3, 1, 2, 0, 0, 3, 3, 4, 0, 0, 3, 2, 3, 2, 0, 2, 1, 0, 1, 4, 4, 2, 1, 0, 4, 1, 0, 3, 1, 3, 3, 3, 1, 3, 1, 0, 2, 1, 3, 2, 0, 0, 0, 2, 0, 0, 0, 3, 2, 0, 2, 0, 3, 0, 0, 1, 1, 0, 3, 0, 3, 1, 0, 2, 2, 4, 0, 3, 1, 2, 2, 0, 1, 4, 0, 2, 1, 2, 0, 2, 3, 2, 0, 0, 4, 0, 3, 2, 1, 1, 2, 2, 3, 1, 0, 1, 0, 1, 1, 3, 2, 4, 1, 1, 0, 3, 3, 2, 2, 1, 1, 0, 3, 0, 2, 4, 1, 1, 0, 3, 4, 2, 3, 1, 0, 4, 4, 1, 1, 1, 3, 3, 3, 3, 4, 4, 3, 2, 1, 2, 4, 3, 1, 0, 4, 3, 4, 3, 2, 3, 4, 1, 3, 3, 1, 2, 4, 2, 3, 0, 4, 2, 2, 4, 4, 3, 4, 1, 4, 3, 4, 2, 2, 0, 1, 2, 0, 3, 1, 4, 2, 3, 2, 1, 0, 4, 4, 3, 0, 1, 3, 1, 1, 1, 0, 1, 3, 2, 2, 1, 4, 4, 1, 3, 0, 3, 1, 2, 2, 4, 4, 1, 0, 1, 2, 2, 1, 0, 2, 4, 1, 0, 4, 1, 2, 3, 2, 1, 4, 4, 4, 0, 0, 1, 1, 0, 2, 0, 1, 0, 4, 4, 3, 4, 3, 1, 3, 2, 2, 1, 4, 3, 3, 4, 1, 3, 3, 1, 1, 3, 3, 1, 2, 3, 0, 0, 2, 0, 2, 2, 4, 1, 3, 4, 3, 3, 1, 2, 2, 0, 0, 2, 0, 3, 3, 2, 4, 2, 0, 1, 0, 0, 1, 4, 1, 3, 3]
pubkeycol783 = [0, 3, 3, 0, 1, 0, 0, 2, 4, 0, 1, 0, 4, 1, 4, 3, 4, 3, 0, 1, 4, 2, 4, 0, 2, 4, 0, 4, 3, 2, 3, 0, 0, 2, 2, 2, 3, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 3, 4, 4, 3, 4, 0, 4, 0, 0, 4, 1, 2, 4, 2, 1, 1, 3, 3, 2, 3, 1, 3, 2, 2, 4, 1, 0, 0, 4, 4, 3, 1, 1, 3, 3, 4, 0, 4, 3, 2, 0, 1, 3, 1, 1, 3, 3, 3, 4, 3, 0, 0, 3, 3, 4, 1, 1, 1, 1, 4, 4, 1, 0, 4, 2, 2, 2, 0, 4, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 0, 1, 3, 1, 2, 0, 2, 4, 1, 3, 1, 0, 0, 0, 2, 3, 3, 4, 0, 3, 2, 3, 4, 1, 1, 1, 3, 0, 2, 3, 2, 4, 1, 3, 0, 3, 3, 2, 3, 0, 0, 4, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 3, 2, 2, 0, 3, 2, 1, 3, 3, 4, 1, 2, 4, 1, 3, 3, 2, 3, 3, 4, 4, 0, 0, 4, 4, 2, 0, 4, 0, 2, 3, 0, 4, 2, 1, 0, 3, 2, 0, 3, 1, 0, 3, 2, 1, 3, 0, 4, 1, 2, 4, 1, 2, 3, 2, 1, 4, 2, 2, 0, 1, 4, 2, 3, 1, 1, 3, 3, 1, 3, 3, 4, 4, 2, 3, 4, 3, 0, 1, 1, 1, 2, 2, 0, 3, 0, 4, 4, 4, 3, 4, 0, 0, 2, 0, 0, 1, 0, 3, 0, 2, 1, 4, 2, 1, 0, 4, 0, 0, 1, 1, 4, 2, 2, 3, 1, 4, 4, 2, 1, 3, 0, 2, 3, 4, 4, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 4, 4, 0, 2, 0, 2, 2, 4, 1, 0, 0, 2, 0, 2, 4, 4, 0, 3, 3, 0, 0, 0, 0, 0, 2, 3, 2, 1, 2, 3, 4, 2, 3, 0, 0, 1, 0, 1, 4, 2, 1, 3, 3, 0, 2, 4, 2, 2, 2, 0, 2, 2, 2, 3, 0, 4, 2, 4, 4, 3, 2, 2, 4, 1, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 2, 4, 0, 4, 2, 0, 1, 3, 3, 1, 4, 2, 3, 0, 1, 4, 3, 4, 2, 1, 3, 4, 1, 2, 4, 3, 0, 4, 2, 1, 0, 4, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 4, 3, 4, 1, 1, 1, 4, 0, 1, 1, 4, 1, 0, 1, 3, 1, 4, 3, 0, 1, 4, 2, 2, 0, 2, 3, 2, 1, 4, 4, 1, 4, 4, 2, 4, 2, 2, 1, 1, 2, 2, 3, 4, 4, 3, 1, 3, 2, 4, 4, 1, 3, 1, 2, 2, 0, 0, 1, 1, 1, 0, 4]
pubkeycol784 = [2, 3, 0, 0, 3, 1, 3, 3, 1, 2, 3, 2, 1, 2, 4, 3, 0, 2, 2, 4, 3, 2, 3, 0, 2, 2, 2, 3, 3, 3, 3, 1, 1, 2, 2, 1, 3, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 4, 1, 3, 3, 0, 2, 4, 2, 0, 1, 0, 1, 2, 0, 1, 4, 1, 1, 0, 3, 0, 1, 2, 4, 2, 1, 0, 3, 3, 0, 2, 1, 1, 3, 4, 3, 4, 0, 1, 1, 2, 1, 3, 0, 2, 3, 0, 2, 2, 2, 2, 2, 1, 3, 1, 2, 0, 2, 1, 2, 3, 2, 2, 3, 0, 2, 2, 0, 1, 2, 4, 0, 4, 2, 2, 4, 4, 0, 2, 3, 2, 1, 4, 2, 0, 4, 3, 2, 2, 0, 4, 0, 2, 3, 4, 2, 1, 1, 3, 1, 2, 1, 3, 0, 3, 1, 2, 4, 0, 4, 1, 3, 2, 4, 3, 4, 4, 2, 1, 4, 0, 4, 2, 2, 0, 0, 4, 0, 4, 0, 1, 1, 4, 1, 3, 1, 1, 1, 2, 4, 2, 1, 3, 3, 0, 3, 2, 1, 4, 4, 1, 3, 2, 4, 2, 1, 1, 4, 0, 1, 3, 3, 1, 0, 4, 2, 1, 1, 4, 3, 4, 4, 3, 0, 3, 2, 4, 0, 3, 3, 0, 4, 0, 4, 1, 2, 0, 1, 0, 2, 1, 4, 3, 3, 1, 4, 0, 1, 2, 4, 4, 3, 1, 0, 4, 4, 3, 1, 2, 2, 2, 3, 3, 0, 1, 2, 4, 4, 1, 3, 0, 3, 0, 2, 0, 2, 3, 4, 3, 3, 2, 2, 4, 1, 3, 0, 0, 3, 2, 3, 0, 1, 2, 3, 1, 4, 0, 4, 1, 4, 2, 3, 4, 0, 0, 3, 2, 1, 3, 3, 2, 1, 0, 1, 2, 2, 4, 0, 1, 1, 2, 3, 2, 0, 0, 0, 0, 4, 0, 3, 3, 3, 4, 1, 4, 1, 1, 1, 4, 2, 4, 0, 3, 4, 2, 4, 3, 3, 2, 3, 2, 0, 1, 2, 1, 0, 2, 4, 0, 1, 4, 4, 3, 3, 2, 0, 1, 0, 4, 0, 3, 1, 2, 1, 3, 0, 4, 4, 4, 4, 1, 2, 3, 4, 1, 0, 2, 3, 2, 1, 0, 3, 2, 1, 2, 1, 3, 4, 1, 0, 1, 1, 0, 1, 4, 3, 0, 4, 0, 4, 3, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 3, 2, 3, 2, 4, 1, 1, 3, 0, 4, 1, 4, 0, 1, 3, 2, 4, 4, 3, 4, 4, 2, 0, 1, 2, 2, 3, 1, 4, 0, 4, 4, 0, 0, 3, 0, 4, 3, 2, 3, 2, 2, 4, 0, 0, 1, 1, 4, 3, 2, 3, 3, 1, 0, 1, 2, 4, 2, 2, 4, 1, 4, 3, 2, 2, 3, 3, 2, 3, 2, 2, 0, 3, 0, 1, 2, 0, 4, 2, 1, 3, 4, 2, 4, 4, 1, 1]
pubkeycol785 = [4, 3, 0, 1, 3, 4, 0, 4, 3, 2, 4, 2, 1, 2, 2, 3, 4, 1, 1, 3, 4, 3, 1, 2, 0, 0, 2, 3, 4, 2, 4, 3, 2, 2, 2, 4, 0, 0, 2, 3, 1, 4, 4, 0, 0, 2, 1, 3, 1, 1, 2, 0, 4, 3, 4, 1, 1, 4, 0, 2, 3, 0, 4, 2, 3, 4, 0, 3, 3, 3, 4, 4, 0, 1, 3, 3, 2, 0, 2, 4, 0, 3, 1, 2, 3, 2, 1, 1, 0, 4, 2, 1, 4, 1, 0, 4, 2, 4, 0, 0, 0, 2, 1, 1, 1, 2, 1, 4, 0, 0, 4, 2, 2, 3, 0, 4, 2, 3, 2, 0, 1, 1, 2, 0, 0, 2, 3, 4, 3, 4, 4, 1, 4, 4, 3, 0, 3, 2, 0, 2, 3, 3, 1, 0, 4, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 3, 0, 3, 0, 2, 2, 1, 2, 4, 3, 3, 3, 2, 0, 0, 0, 2, 4, 1, 2, 2, 2, 2, 0, 3, 4, 3, 2, 2, 0, 1, 4, 4, 0, 4, 3, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 3, 2, 3, 4, 4, 1, 0, 2, 4, 3, 1, 3, 3, 3, 3, 2, 1, 0, 3, 4, 4, 1, 3, 1, 2, 3, 3, 3, 4, 1, 2, 0, 0, 4, 2, 4, 2, 2, 1, 3, 1, 1, 3, 2, 2, 2, 3, 0, 3, 4, 0, 0, 1, 1, 4, 3, 4, 1, 0, 2, 1, 3, 2, 1, 1, 2, 2, 1, 1, 4, 1, 2, 2, 0, 1, 3, 2, 1, 3, 3, 3, 3, 3, 4, 0, 1, 0, 3, 3, 3, 1, 3, 1, 0, 4, 1, 2, 2, 4, 4, 4, 4, 3, 4, 0, 2, 0, 4, 0, 4, 0, 3, 2, 3, 4, 1, 4, 1, 1, 0, 0, 1, 4, 1, 3, 1, 2, 4, 2, 0, 1, 3, 1, 4, 3, 0, 4, 2, 2, 0, 3, 0, 4, 2, 1, 0, 3, 2, 1, 1, 3, 1, 4, 2, 1, 0, 2, 2, 1, 2, 3, 3, 0, 0, 3, 2, 3, 0, 0, 4, 3, 2, 3, 1, 3, 3, 3, 0, 0, 4, 4, 1, 1, 0, 1, 2, 4, 1, 1, 0, 1, 2, 3, 4, 0, 1, 4, 2, 4, 2, 3, 3, 1, 1, 3, 2, 4, 1, 4, 0, 0, 2, 4, 3, 2, 0, 2, 0, 2, 4, 4, 2, 0, 0, 0, 1, 3, 4, 4, 3, 4, 0, 3, 4, 2, 2, 2, 3, 1, 4, 0, 0, 4, 3, 1, 4, 0, 4, 3, 0, 4, 3, 2, 3, 0, 2, 2, 2, 0, 0, 1, 2, 3, 3, 0, 3, 1, 0, 1, 2, 4, 1, 2, 3, 1, 0, 0, 1, 3, 3, 4, 1, 0, 2, 3, 3, 3, 1, 1, 3, 0, 3, 0, 2, 2, 4, 2, 2, 2, 4, 3, 2, 1, 0]
pubkeycol786 = [2, 0, 3, 0, 4, 3, 0, 2, 4, 2, 3, 1, 0, 2, 4, 1, 0, 4, 1, 4, 4, 0, 2, 4, 0, 0, 4, 4, 4, 0, 1, 4, 1, 4, 0, 2, 1, 2, 0, 3, 3, 2, 1, 3, 4, 0, 3, 0, 3, 1, 2, 2, 4, 2, 3, 1, 1, 1, 0, 4, 1, 4, 0, 3, 4, 0, 3, 1, 3, 2, 2, 1, 1, 4, 1, 4, 4, 0, 0, 3, 0, 2, 3, 2, 2, 4, 4, 0, 4, 2, 1, 1, 0, 4, 3, 3, 3, 2, 0, 3, 0, 3, 2, 2, 0, 3, 2, 3, 4, 2, 2, 0, 4, 3, 0, 0, 1, 3, 0, 3, 4, 4, 0, 1, 3, 0, 4, 2, 0, 2, 0, 2, 3, 4, 1, 2, 1, 2, 3, 2, 0, 2, 0, 1, 0, 2, 1, 1, 3, 2, 4, 3, 3, 3, 2, 3, 1, 1, 3, 0, 0, 2, 0, 4, 3, 0, 1, 1, 0, 4, 1, 2, 2, 1, 3, 2, 0, 1, 4, 4, 1, 2, 0, 4, 1, 1, 1, 3, 1, 3, 1, 2, 2, 4, 4, 2, 3, 4, 1, 1, 1, 4, 4, 0, 0, 3, 2, 0, 3, 1, 0, 0, 2, 3, 1, 3, 4, 1, 4, 1, 4, 0, 4, 2, 1, 1, 4, 2, 1, 4, 1, 3, 1, 3, 4, 4, 0, 3, 3, 2, 3, 1, 3, 0, 3, 4, 2, 0, 2, 1, 1, 0, 4, 1, 0, 1, 1, 3, 2, 1, 0, 0, 2, 0, 2, 4, 4, 3, 4, 0, 1, 1, 1, 4, 1, 3, 0, 4, 1, 4, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 4, 2, 2, 1, 3, 1, 2, 2, 0, 4, 1, 0, 2, 1, 3, 4, 0, 0, 0, 4, 2, 2, 4, 3, 1, 0, 4, 4, 3, 1, 4, 1, 1, 2, 0, 2, 4, 3, 0, 1, 2, 1, 3, 2, 3, 0, 0, 0, 0, 2, 4, 0, 2, 4, 4, 4, 3, 1, 4, 4, 4, 4, 4, 3, 3, 3, 1, 2, 3, 3, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 3, 4, 1, 4, 1, 0, 2, 3, 4, 0, 1, 4, 0, 1, 0, 3, 0, 4, 3, 2, 4, 4, 0, 3, 1, 1, 0, 0, 4, 1, 2, 4, 3, 2, 4, 0, 3, 3, 4, 2, 3, 0, 2, 4, 0, 2, 3, 2, 1, 0, 2, 1, 0, 2, 4, 4, 0, 4, 0, 2, 1, 1, 3, 2, 1, 3, 0, 3, 1, 4, 3, 1, 0, 2, 1, 1, 2, 3, 1, 1, 3, 0, 1, 0, 3, 4, 1, 3, 2, 1, 0, 0, 1, 4, 3, 3, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 3, 0, 1, 0, 2, 1, 1, 0, 2, 0, 3, 2, 0, 0, 0, 1, 4, 0, 2, 4, 3, 2, 4, 0, 1]
pubkeycol787 = [2, 0, 3, 1, 2, 1, 1, 2, 4, 1, 3, 0, 3, 0, 0, 4, 3, 1, 0, 1, 4, 2, 4, 2, 1, 2, 2, 4, 4, 1, 3, 0, 2, 4, 2, 3, 0, 1, 1, 0, 4, 4, 1, 2, 2, 0, 3, 2, 3, 0, 4, 3, 1, 3, 0, 3, 2, 1, 1, 4, 4, 1, 2, 4, 3, 2, 3, 1, 3, 2, 0, 4, 4, 3, 3, 2, 0, 0, 4, 3, 2, 2, 0, 4, 1, 4, 0, 3, 3, 4, 2, 2, 2, 4, 4, 0, 2, 1, 0, 2, 0, 3, 2, 0, 1, 4, 4, 2, 4, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 3, 3, 3, 0, 4, 2, 0, 4, 3, 4, 3, 0, 4, 2, 2, 3, 0, 3, 1, 3, 4, 4, 3, 4, 0, 2, 4, 2, 0, 0, 0, 2, 3, 1, 0, 3, 1, 2, 4, 3, 4, 1, 1, 2, 0, 0, 0, 2, 3, 4, 4, 2, 3, 3, 3, 4, 1, 3, 4, 1, 3, 3, 0, 4, 0, 0, 3, 4, 0, 3, 3, 0, 0, 2, 1, 1, 2, 1, 4, 4, 2, 0, 3, 1, 4, 2, 2, 3, 3, 3, 4, 1, 1, 2, 0, 4, 0, 3, 0, 4, 4, 0, 0, 3, 2, 2, 0, 2, 2, 3, 2, 1, 1, 4, 0, 2, 3, 0, 1, 2, 3, 1, 0, 1, 4, 4, 2, 3, 3, 0, 2, 0, 4, 3, 1, 2, 3, 3, 3, 3, 2, 4, 1, 3, 2, 1, 3, 1, 2, 4, 4, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 3, 2, 0, 4, 3, 2, 2, 3, 4, 1, 0, 3, 3, 1, 4, 1, 1, 2, 4, 3, 2, 0, 2, 4, 3, 4, 0, 1, 3, 1, 0, 4, 2, 1, 1, 3, 0, 2, 3, 1, 2, 1, 1, 1, 1, 2, 0, 0, 4, 0, 1, 3, 1, 4, 1, 1, 4, 1, 4, 3, 3, 4, 2, 0, 2, 4, 1, 2, 0, 0, 3, 3, 0, 1, 2, 1, 3, 4, 2, 4, 3, 2, 3, 4, 1, 2, 4, 4, 3, 0, 1, 0, 0, 3, 4, 2, 4, 4, 0, 3, 1, 1, 2, 2, 4, 1, 4, 1, 4, 0, 3, 2, 1, 4, 3, 2, 2, 3, 3, 2, 2, 0, 2, 2, 0, 4, 1, 3, 2, 0, 3, 4, 2, 2, 4, 4, 3, 3, 3, 4, 1, 3, 2, 0, 0, 0, 3, 1, 1, 3, 3, 4, 2, 1, 0, 2, 1, 4, 1, 3, 0, 0, 0, 2, 2, 4, 1, 2, 4, 2, 2, 0, 4, 0, 2, 3, 4, 4, 1, 4, 0, 2, 3, 0, 3, 0, 2, 3, 1, 0, 1, 2, 2, 1, 4, 0, 4, 3, 1, 2, 2, 4, 3, 4, 3, 0, 4, 1, 0, 1, 3, 2, 2, 2, 2, 3, 4, 3, 1, 4, 0, 1, 0]
pubkeycol788 = [3, 3, 0, 4, 0, 1, 2, 2, 4, 4, 0, 3, 3, 1, 4, 3, 4, 0, 3, 0, 2, 0, 4, 1, 2, 2, 0, 0, 3, 0, 2, 2, 0, 1, 1, 0, 3, 1, 1, 3, 1, 1, 0, 1, 1, 0, 4, 3, 2, 1, 2, 2, 1, 0, 1, 4, 2, 2, 1, 4, 4, 0, 3, 3, 4, 4, 2, 0, 2, 2, 3, 1, 2, 0, 1, 4, 4, 0, 1, 4, 4, 2, 1, 3, 2, 4, 2, 1, 3, 3, 1, 3, 1, 3, 3, 0, 3, 2, 0, 3, 0, 1, 2, 3, 4, 3, 1, 4, 0, 4, 4, 3, 1, 3, 1, 1, 1, 3, 1, 0, 1, 4, 0, 4, 3, 3, 3, 0, 0, 2, 1, 2, 0, 3, 1, 3, 2, 0, 4, 4, 3, 3, 2, 4, 1, 3, 0, 1, 3, 0, 0, 3, 4, 4, 4, 1, 4, 1, 3, 3, 0, 1, 4, 0, 2, 1, 1, 0, 4, 0, 0, 3, 3, 2, 1, 4, 1, 4, 4, 4, 4, 3, 4, 1, 2, 2, 1, 3, 2, 0, 2, 1, 0, 1, 2, 2, 3, 0, 2, 1, 4, 0, 1, 4, 0, 3, 4, 2, 4, 1, 2, 3, 3, 3, 1, 4, 2, 4, 4, 4, 4, 0, 4, 4, 3, 4, 1, 3, 2, 4, 4, 1, 3, 3, 1, 4, 0, 0, 2, 4, 2, 0, 2, 1, 1, 3, 3, 1, 3, 1, 0, 0, 1, 0, 3, 4, 0, 4, 2, 2, 0, 3, 3, 0, 1, 3, 3, 2, 0, 4, 0, 4, 0, 2, 4, 1, 1, 2, 2, 0, 2, 2, 2, 0, 4, 3, 3, 4, 2, 3, 4, 2, 2, 1, 0, 4, 1, 2, 1, 0, 1, 0, 0, 2, 1, 4, 4, 4, 1, 4, 3, 2, 1, 4, 0, 4, 4, 4, 0, 1, 3, 0, 2, 0, 2, 3, 4, 0, 0, 4, 1, 4, 4, 0, 3, 4, 2, 0, 1, 3, 0, 0, 3, 4, 2, 4, 4, 3, 2, 1, 3, 3, 4, 2, 4, 2, 4, 1, 4, 3, 1, 4, 0, 4, 2, 1, 0, 4, 0, 0, 0, 2, 2, 2, 0, 4, 4, 3, 3, 3, 2, 1, 3, 1, 0, 2, 2, 1, 1, 1, 4, 1, 0, 3, 3, 3, 1, 4, 4, 3, 3, 4, 1, 2, 0, 3, 0, 0, 1, 3, 2, 4, 2, 1, 2, 4, 1, 3, 1, 0, 1, 2, 1, 3, 1, 1, 3, 2, 0, 2, 1, 4, 3, 0, 4, 1, 2, 2, 3, 0, 0, 1, 1, 2, 0, 4, 4, 3, 4, 3, 0, 3, 0, 0, 4, 0, 2, 4, 2, 1, 3, 0, 0, 4, 3, 4, 2, 1, 0, 3, 4, 2, 3, 1, 0, 2, 0, 1, 4, 1, 3, 2, 3, 2, 3, 2, 3, 3, 3, 2, 0, 4, 4, 4, 4, 0, 0, 3, 1, 3, 2, 4, 0, 1, 4]
pubkeycol789 = [4, 1, 4, 3, 0, 1, 4, 1, 3, 0, 2, 0, 4, 4, 2, 4, 4, 4, 2, 4, 3, 4, 4, 1, 4, 0, 0, 4, 1, 4, 4, 1, 1, 4, 3, 3, 1, 3, 1, 0, 1, 0, 4, 1, 2, 1, 1, 3, 0, 0, 1, 0, 4, 3, 1, 1, 0, 2, 3, 0, 1, 3, 1, 4, 4, 2, 0, 3, 3, 1, 1, 4, 2, 0, 0, 4, 2, 3, 0, 1, 4, 4, 4, 4, 4, 3, 2, 1, 1, 0, 4, 0, 4, 4, 1, 2, 0, 1, 2, 4, 3, 0, 4, 1, 4, 4, 2, 1, 4, 4, 2, 2, 1, 0, 2, 3, 1, 4, 2, 4, 0, 3, 0, 2, 3, 0, 1, 2, 2, 0, 1, 4, 3, 4, 3, 4, 0, 4, 0, 1, 3, 4, 2, 4, 1, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 1, 3, 4, 2, 3, 4, 2, 1, 4, 0, 3, 4, 1, 2, 1, 2, 3, 2, 1, 2, 1, 1, 1, 3, 2, 1, 1, 0, 1, 0, 1, 2, 1, 4, 1, 2, 2, 2, 2, 1, 0, 0, 4, 3, 2, 3, 2, 0, 1, 1, 1, 4, 0, 0, 1, 2, 4, 2, 4, 4, 3, 4, 4, 3, 4, 3, 4, 2, 2, 0, 0, 2, 0, 1, 2, 2, 3, 1, 4, 0, 2, 2, 2, 4, 0, 3, 1, 2, 1, 0, 1, 4, 0, 2, 2, 2, 3, 1, 3, 1, 3, 4, 3, 2, 4, 1, 2, 4, 3, 0, 3, 4, 2, 3, 2, 1, 2, 1, 0, 4, 4, 2, 3, 4, 2, 2, 3, 0, 4, 1, 2, 2, 0, 3, 3, 4, 3, 3, 4, 2, 3, 3, 4, 0, 0, 0, 3, 1, 0, 0, 3, 1, 1, 3, 4, 2, 2, 0, 1, 2, 0, 3, 1, 4, 1, 0, 2, 0, 0, 0, 2, 3, 4, 0, 2, 4, 4, 2, 1, 2, 2, 0, 1, 1, 2, 3, 4, 4, 3, 1, 3, 3, 1, 0, 2, 1, 3, 1, 4, 0, 0, 1, 2, 4, 1, 2, 0, 0, 0, 4, 0, 3, 3, 2, 1, 3, 2, 2, 0, 4, 3, 2, 4, 0, 2, 3, 2, 3, 1, 3, 0, 4, 2, 4, 2, 2, 1, 4, 0, 0, 4, 1, 3, 1, 0, 3, 3, 1, 3, 1, 4, 4, 2, 0, 1, 4, 4, 3, 0, 3, 3, 4, 1, 4, 4, 3, 4, 0, 2, 2, 1, 2, 2, 3, 2, 1, 0, 3, 2, 0, 1, 1, 1, 4, 0, 2, 4, 1, 1, 4, 3, 0, 3, 3, 0, 1, 3, 1, 3, 1, 2, 2, 4, 3, 4, 0, 4, 4, 4, 3, 1, 1, 2, 2, 2, 1, 1, 3, 1, 1, 1, 2, 0, 3, 0, 2, 1, 2, 3, 4, 4, 4, 3, 1, 2, 2, 3, 2, 1, 3, 3, 1, 3, 1, 0, 4, 2, 2, 4, 1]
pubkeycol790 = [0, 4, 3, 2, 4, 1, 0, 2, 0, 4, 1, 2, 0, 1, 3, 3, 1, 0, 0, 4, 1, 3, 2, 0, 1, 3, 1, 2, 2, 2, 2, 2, 0, 3, 1, 2, 3, 0, 0, 0, 2, 4, 4, 1, 1, 0, 2, 2, 2, 2, 2, 1, 4, 2, 3, 3, 1, 3, 0, 0, 1, 3, 2, 3, 3, 3, 1, 3, 2, 3, 2, 4, 0, 4, 0, 2, 4, 3, 2, 3, 0, 4, 0, 0, 3, 4, 1, 1, 4, 2, 4, 3, 0, 3, 2, 2, 2, 4, 3, 3, 3, 1, 4, 2, 2, 4, 0, 1, 0, 0, 0, 4, 2, 4, 4, 1, 4, 1, 2, 1, 2, 2, 4, 4, 4, 0, 4, 3, 2, 3, 2, 3, 1, 4, 3, 1, 2, 4, 3, 3, 3, 4, 1, 1, 1, 2, 1, 4, 1, 0, 1, 4, 3, 0, 0, 3, 1, 0, 0, 4, 0, 2, 4, 4, 0, 3, 3, 3, 1, 1, 3, 1, 0, 2, 1, 0, 3, 2, 3, 0, 3, 3, 2, 2, 3, 3, 1, 4, 2, 1, 2, 3, 1, 0, 1, 1, 2, 1, 0, 2, 3, 4, 1, 3, 1, 4, 3, 0, 1, 2, 1, 0, 0, 4, 3, 2, 3, 2, 2, 0, 4, 2, 1, 3, 1, 4, 0, 3, 4, 0, 3, 2, 0, 0, 0, 4, 3, 2, 2, 1, 4, 0, 0, 4, 4, 1, 1, 2, 3, 0, 1, 3, 1, 1, 3, 3, 3, 0, 3, 0, 1, 3, 2, 2, 0, 0, 3, 0, 3, 3, 1, 3, 0, 3, 1, 0, 1, 2, 2, 3, 3, 0, 2, 4, 2, 3, 1, 4, 0, 0, 4, 4, 4, 1, 3, 0, 3, 1, 4, 3, 0, 4, 1, 0, 1, 4, 3, 3, 4, 1, 4, 0, 0, 1, 4, 0, 2, 3, 4, 0, 2, 1, 0, 0, 0, 2, 2, 4, 2, 4, 1, 4, 1, 1, 4, 2, 2, 4, 2, 0, 2, 1, 2, 3, 2, 0, 0, 3, 1, 4, 3, 4, 0, 4, 2, 2, 2, 1, 1, 4, 0, 3, 0, 1, 2, 2, 0, 1, 4, 2, 2, 0, 2, 2, 3, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 4, 0, 4, 1, 2, 1, 2, 2, 2, 0, 2, 4, 0, 3, 0, 3, 0, 4, 1, 4, 1, 1, 2, 4, 2, 0, 0, 4, 0, 4, 1, 0, 1, 2, 3, 4, 4, 2, 2, 2, 1, 0, 0, 1, 3, 2, 0, 2, 4, 0, 4, 3, 1, 4, 1, 1, 3, 4, 1, 4, 0, 3, 4, 4, 4, 3, 4, 4, 2, 4, 0, 4, 4, 2, 0, 2, 1, 4, 2, 1, 0, 3, 0, 3, 4, 1, 1, 1, 4, 3, 2, 0, 3, 4, 3, 0, 1, 3, 2, 2, 2, 2, 0, 3, 3, 4, 2, 0, 4, 2, 2, 0, 4, 4, 2, 4, 0, 3, 4]
pubkeycol791 = [0, 2, 3, 0, 1, 1, 1, 1, 1, 3, 4, 4, 1, 3, 3, 2, 0, 2, 3, 0, 2, 4, 2, 4, 3, 3, 1, 3, 1, 2, 2, 1, 1, 1, 4, 2, 1, 0, 4, 2, 0, 2, 3, 4, 3, 1, 1, 1, 4, 4, 0, 1, 2, 4, 2, 2, 3, 1, 4, 3, 1, 4, 1, 2, 3, 1, 2, 0, 3, 4, 1, 2, 0, 0, 0, 3, 0, 2, 3, 0, 0, 1, 3, 2, 3, 3, 3, 4, 1, 3, 0, 4, 2, 3, 1, 0, 1, 1, 3, 4, 1, 1, 4, 2, 0, 4, 3, 0, 2, 4, 1, 0, 3, 2, 2, 3, 2, 4, 4, 0, 0, 4, 4, 0, 3, 0, 4, 3, 3, 3, 2, 1, 1, 4, 2, 3, 3, 0, 1, 0, 2, 4, 4, 1, 0, 0, 3, 3, 4, 2, 2, 1, 4, 2, 3, 4, 0, 0, 2, 1, 3, 2, 4, 4, 2, 0, 4, 1, 2, 4, 0, 3, 1, 0, 1, 2, 2, 2, 3, 1, 1, 2, 1, 2, 4, 0, 0, 1, 4, 3, 4, 0, 3, 3, 0, 4, 1, 1, 1, 0, 0, 1, 1, 4, 2, 3, 2, 3, 4, 1, 4, 3, 4, 0, 0, 4, 2, 3, 4, 0, 2, 3, 1, 1, 4, 4, 1, 1, 0, 2, 3, 4, 3, 4, 0, 3, 0, 2, 0, 4, 0, 1, 0, 0, 4, 1, 3, 1, 2, 1, 4, 2, 1, 3, 0, 2, 1, 4, 4, 1, 2, 2, 3, 1, 3, 4, 1, 1, 2, 2, 4, 0, 0, 0, 2, 4, 3, 3, 4, 2, 3, 0, 3, 1, 3, 1, 3, 3, 2, 4, 3, 1, 1, 1, 4, 1, 1, 1, 2, 3, 4, 3, 1, 4, 2, 1, 2, 3, 2, 4, 2, 3, 3, 4, 1, 1, 3, 1, 4, 2, 3, 4, 4, 2, 3, 4, 0, 1, 4, 3, 2, 4, 0, 2, 2, 2, 4, 0, 4, 3, 0, 1, 1, 0, 1, 0, 1, 4, 4, 4, 2, 4, 2, 0, 3, 0, 4, 4, 3, 4, 1, 0, 4, 4, 1, 0, 3, 1, 4, 1, 2, 2, 2, 0, 1, 3, 1, 4, 4, 4, 4, 4, 1, 1, 4, 3, 1, 2, 1, 2, 2, 1, 3, 4, 3, 1, 4, 0, 0, 3, 1, 3, 2, 1, 1, 2, 3, 2, 1, 1, 3, 0, 4, 3, 3, 0, 0, 3, 3, 4, 0, 1, 4, 3, 3, 0, 2, 3, 2, 4, 1, 3, 1, 2, 4, 2, 4, 2, 3, 0, 4, 2, 4, 0, 2, 2, 1, 2, 0, 1, 2, 0, 3, 3, 1, 2, 4, 2, 1, 0, 1, 0, 4, 2, 4, 2, 0, 4, 2, 0, 1, 4, 1, 3, 4, 3, 3, 2, 4, 2, 0, 0, 2, 4, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 4, 2, 1, 3, 1, 4, 4, 0]
pubkeycol792 = [4, 4, 2, 0, 2, 0, 4, 4, 4, 1, 2, 3, 1, 2, 0, 4, 0, 3, 4, 0, 1, 1, 0, 0, 0, 1, 0, 0, 4, 1, 4, 3, 2, 3, 4, 1, 0, 3, 2, 0, 0, 1, 0, 3, 4, 2, 4, 4, 4, 3, 2, 3, 4, 1, 3, 0, 1, 1, 4, 3, 3, 0, 2, 3, 0, 1, 0, 1, 1, 0, 2, 4, 1, 1, 2, 0, 3, 1, 0, 2, 1, 0, 0, 0, 1, 3, 4, 2, 3, 2, 1, 4, 2, 3, 0, 0, 1, 2, 4, 3, 1, 0, 1, 4, 2, 4, 0, 3, 4, 2, 1, 2, 2, 0, 1, 0, 2, 4, 4, 1, 1, 0, 3, 3, 1, 0, 3, 1, 2, 3, 2, 4, 4, 4, 2, 4, 0, 1, 4, 3, 2, 2, 4, 4, 0, 3, 1, 2, 3, 4, 2, 2, 3, 2, 4, 4, 1, 1, 4, 3, 1, 1, 1, 2, 3, 2, 1, 4, 1, 0, 4, 0, 4, 2, 3, 3, 1, 4, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 3, 4, 4, 0, 2, 0, 3, 0, 3, 0, 4, 4, 2, 3, 2, 4, 0, 3, 1, 2, 1, 4, 3, 1, 4, 3, 3, 4, 1, 1, 2, 0, 2, 2, 0, 2, 3, 4, 0, 2, 1, 0, 2, 3, 4, 3, 2, 0, 2, 1, 0, 0, 0, 3, 0, 2, 1, 1, 3, 1, 2, 4, 2, 2, 2, 2, 2, 0, 1, 3, 0, 1, 2, 1, 3, 3, 4, 3, 1, 1, 2, 1, 3, 4, 0, 4, 4, 0, 0, 1, 0, 4, 2, 1, 3, 0, 2, 2, 4, 2, 3, 0, 3, 1, 4, 1, 0, 4, 3, 0, 4, 1, 1, 4, 0, 1, 3, 1, 4, 0, 3, 4, 0, 2, 1, 2, 4, 4, 3, 3, 1, 2, 1, 4, 3, 0, 3, 4, 0, 2, 1, 3, 1, 2, 3, 4, 4, 4, 1, 4, 2, 1, 0, 1, 1, 3, 2, 2, 4, 2, 3, 1, 3, 3, 3, 4, 0, 2, 0, 0, 1, 1, 4, 0, 2, 1, 0, 3, 0, 2, 4, 3, 0, 1, 2, 4, 4, 0, 0, 0, 1, 0, 4, 3, 3, 4, 3, 2, 0, 4, 1, 3, 2, 4, 0, 2, 2, 0, 1, 3, 2, 4, 0, 2, 0, 4, 0, 1, 3, 1, 0, 4, 2, 2, 0, 0, 0, 0, 3, 3, 1, 1, 0, 0, 3, 1, 4, 4, 1, 1, 4, 3, 0, 1, 1, 3, 2, 3, 1, 1, 3, 0, 4, 4, 4, 4, 1, 4, 4, 3, 3, 2, 0, 2, 1, 3, 2, 3, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 3, 3, 1, 4, 2, 2, 3, 0, 4, 1, 4, 3, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 4, 4, 1, 1, 4, 4, 3, 1, 4, 1, 4, 0, 1, 3, 1, 4]
pubkeycol793 = [4, 2, 4, 4, 2, 4, 4, 4, 1, 2, 1, 3, 3, 1, 4, 2, 0, 4, 2, 1, 4, 4, 1, 3, 0, 1, 2, 2, 0, 2, 3, 4, 3, 2, 3, 3, 2, 4, 1, 0, 1, 4, 2, 1, 1, 1, 0, 2, 0, 1, 0, 4, 0, 1, 1, 3, 1, 0, 4, 3, 3, 1, 3, 2, 2, 0, 4, 2, 0, 3, 2, 4, 1, 0, 3, 0, 2, 3, 0, 3, 1, 0, 4, 2, 3, 1, 1, 1, 3, 2, 4, 0, 0, 3, 1, 2, 4, 2, 3, 1, 1, 2, 3, 4, 4, 0, 0, 4, 2, 0, 3, 4, 1, 2, 3, 1, 1, 3, 2, 4, 1, 2, 4, 0, 2, 1, 4, 0, 2, 2, 4, 3, 2, 1, 0, 3, 4, 3, 0, 1, 1, 3, 4, 2, 2, 4, 3, 4, 3, 2, 0, 1, 0, 0, 3, 1, 4, 0, 3, 0, 0, 3, 4, 1, 2, 3, 1, 3, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 4, 1, 4, 2, 4, 0, 3, 2, 4, 0, 1, 0, 0, 0, 4, 2, 0, 1, 4, 4, 3, 3, 1, 0, 4, 1, 1, 3, 1, 2, 3, 3, 4, 3, 1, 0, 1, 2, 3, 3, 0, 1, 3, 1, 3, 1, 0, 4, 0, 4, 4, 0, 3, 0, 4, 0, 0, 1, 3, 1, 1, 2, 2, 3, 2, 4, 3, 0, 0, 1, 3, 0, 0, 3, 3, 1, 4, 1, 3, 2, 2, 1, 3, 4, 2, 4, 2, 0, 3, 1, 4, 2, 0, 2, 3, 4, 1, 4, 1, 2, 3, 4, 4, 4, 4, 3, 2, 2, 4, 1, 4, 0, 1, 2, 2, 3, 0, 4, 1, 2, 3, 0, 3, 0, 0, 2, 4, 2, 3, 2, 2, 0, 4, 0, 2, 1, 3, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 4, 4, 3, 4, 1, 2, 3, 1, 0, 3, 2, 1, 3, 4, 1, 1, 1, 4, 3, 2, 3, 2, 2, 3, 4, 0, 1, 0, 4, 2, 3, 3, 4, 2, 3, 2, 2, 0, 0, 0, 2, 3, 4, 0, 4, 3, 2, 0, 2, 1, 4, 4, 1, 0, 0, 0, 1, 3, 3, 3, 0, 1, 2, 2, 4, 1, 1, 1, 4, 0, 2, 1, 0, 2, 3, 2, 3, 1, 4, 2, 0, 2, 2, 4, 0, 3, 2, 2, 3, 3, 0, 4, 1, 3, 4, 1, 2, 4, 0, 2, 1, 4, 3, 1, 4, 3, 4, 3, 1, 1, 2, 2, 3, 4, 2, 1, 2, 4, 3, 4, 2, 1, 3, 0, 4, 2, 1, 0, 1, 0, 2, 3, 1, 2, 2, 4, 4, 1, 0, 2, 0, 0, 4, 3, 2, 4, 3, 2, 2, 4, 2, 4, 0, 0, 4, 2, 0, 0, 2, 4, 2, 3, 0, 0, 1, 3, 2, 2, 2, 0, 2, 3, 4, 2, 4, 1, 0, 4, 0]
pubkeycol794 = [3, 2, 0, 1, 3, 2, 2, 3, 4, 4, 1, 3, 4, 2, 2, 2, 2, 0, 4, 3, 2, 3, 4, 4, 3, 4, 1, 0, 0, 3, 4, 2, 0, 1, 2, 1, 3, 2, 0, 4, 4, 4, 3, 2, 3, 0, 1, 2, 0, 3, 3, 0, 4, 1, 1, 4, 4, 3, 4, 3, 1, 3, 0, 0, 0, 1, 4, 4, 4, 0, 1, 2, 3, 3, 0, 2, 0, 2, 4, 3, 3, 0, 1, 0, 4, 0, 0, 3, 3, 2, 2, 3, 0, 1, 2, 4, 4, 0, 4, 1, 3, 0, 2, 2, 4, 4, 2, 0, 4, 0, 1, 1, 3, 3, 0, 4, 1, 1, 4, 4, 1, 2, 4, 4, 0, 3, 1, 2, 0, 1, 4, 1, 4, 0, 1, 3, 4, 0, 0, 1, 3, 3, 4, 4, 4, 3, 2, 1, 4, 1, 0, 2, 1, 1, 3, 4, 1, 2, 4, 4, 3, 1, 4, 3, 1, 4, 2, 3, 2, 4, 2, 1, 1, 2, 2, 4, 1, 4, 2, 0, 3, 3, 0, 0, 0, 1, 3, 2, 0, 1, 0, 4, 1, 3, 2, 2, 3, 0, 3, 4, 4, 0, 2, 0, 4, 1, 4, 4, 1, 0, 1, 2, 2, 2, 1, 4, 2, 2, 2, 2, 4, 2, 1, 1, 2, 0, 4, 0, 1, 3, 0, 4, 3, 4, 2, 4, 3, 3, 0, 3, 0, 4, 4, 0, 0, 4, 4, 2, 3, 4, 3, 2, 1, 2, 1, 2, 4, 4, 4, 1, 3, 0, 2, 4, 3, 1, 0, 4, 3, 1, 0, 1, 0, 2, 0, 1, 1, 3, 3, 2, 2, 0, 2, 4, 1, 3, 1, 1, 2, 4, 2, 4, 3, 4, 2, 1, 4, 4, 0, 1, 4, 3, 2, 0, 0, 4, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 3, 3, 1, 0, 1, 2, 3, 0, 4, 1, 3, 2, 0, 2, 4, 2, 3, 2, 2, 1, 3, 4, 0, 0, 4, 3, 0, 3, 3, 0, 4, 2, 0, 1, 2, 3, 0, 4, 2, 2, 0, 4, 2, 4, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 3, 3, 2, 0, 4, 1, 2, 1, 1, 0, 4, 1, 4, 2, 3, 2, 0, 0, 1, 3, 3, 3, 1, 2, 0, 2, 4, 1, 2, 1, 0, 3, 4, 2, 0, 0, 2, 1, 4, 1, 1, 4, 4, 3, 0, 4, 4, 2, 3, 1, 1, 1, 0, 1, 1, 2, 0, 3, 2, 4, 0, 1, 1, 4, 0, 4, 2, 0, 3, 2, 0, 2, 1, 3, 2, 2, 3, 4, 3, 1, 3, 2, 4, 1, 2, 4, 3, 2, 1, 1, 2, 0, 3, 3, 0, 2, 0, 1, 0, 4, 2, 0, 2, 3, 2, 2, 4, 0, 1, 2, 1, 2, 2, 0, 1, 3, 3, 4, 4, 4, 2, 1, 4, 0, 4, 3, 2, 1, 0, 4, 2, 0, 0, 4, 2]
pubkeycol795 = [1, 4, 3, 3, 0, 0, 0, 3, 3, 4, 4, 4, 1, 4, 4, 1, 0, 2, 0, 0, 4, 4, 3, 3, 0, 2, 2, 3, 4, 2, 2, 1, 4, 2, 4, 3, 2, 2, 4, 4, 4, 3, 0, 4, 2, 0, 3, 2, 4, 1, 0, 2, 1, 4, 2, 1, 1, 4, 3, 2, 2, 4, 3, 3, 4, 3, 0, 0, 0, 3, 2, 1, 3, 4, 1, 3, 3, 0, 3, 3, 4, 1, 4, 2, 2, 3, 4, 2, 2, 3, 2, 4, 2, 1, 1, 2, 3, 1, 3, 3, 0, 0, 4, 4, 1, 1, 4, 0, 1, 0, 2, 4, 3, 3, 1, 2, 0, 1, 2, 3, 3, 1, 4, 4, 1, 0, 1, 3, 1, 1, 4, 4, 4, 4, 0, 3, 1, 4, 1, 2, 0, 3, 0, 3, 4, 0, 3, 1, 4, 4, 4, 4, 4, 4, 0, 0, 3, 0, 4, 4, 0, 4, 2, 3, 4, 0, 4, 0, 3, 4, 1, 4, 4, 1, 3, 1, 2, 2, 3, 3, 2, 1, 4, 4, 1, 2, 0, 0, 2, 1, 3, 3, 1, 2, 3, 0, 0, 1, 3, 1, 1, 0, 2, 0, 3, 4, 0, 0, 2, 1, 0, 4, 3, 2, 2, 3, 1, 2, 3, 0, 1, 1, 4, 2, 0, 2, 1, 4, 0, 2, 3, 4, 3, 4, 2, 4, 0, 3, 0, 4, 2, 4, 3, 4, 2, 0, 0, 1, 4, 3, 3, 4, 3, 1, 3, 0, 1, 0, 1, 3, 0, 3, 4, 1, 1, 1, 2, 4, 4, 0, 0, 3, 0, 2, 2, 2, 3, 2, 1, 0, 3, 0, 2, 1, 4, 2, 4, 1, 3, 4, 3, 0, 0, 1, 3, 1, 4, 2, 1, 2, 4, 3, 4, 1, 4, 4, 3, 0, 2, 4, 4, 2, 4, 4, 0, 2, 0, 3, 4, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 0, 3, 2, 4, 2, 3, 4, 0, 4, 3, 4, 0, 3, 3, 4, 1, 4, 0, 1, 3, 2, 1, 1, 4, 3, 0, 3, 0, 1, 0, 1, 2, 0, 3, 0, 4, 0, 0, 0, 3, 1, 4, 4, 2, 3, 3, 0, 1, 3, 2, 4, 0, 2, 2, 4, 1, 2, 2, 2, 3, 2, 4, 2, 3, 3, 2, 2, 3, 4, 4, 0, 3, 1, 2, 2, 0, 4, 2, 0, 1, 1, 1, 4, 1, 3, 0, 1, 2, 1, 0, 1, 2, 2, 3, 3, 0, 4, 0, 1, 0, 1, 2, 0, 4, 0, 4, 4, 4, 0, 1, 1, 2, 4, 1, 4, 3, 4, 1, 3, 3, 0, 3, 3, 1, 4, 3, 4, 0, 3, 4, 2, 4, 2, 4, 2, 4, 4, 2, 3, 4, 1, 4, 2, 0, 3, 3, 1, 0, 4, 2, 4, 4, 4, 3, 1, 0, 4, 1, 4, 4, 3, 1, 0, 3, 2, 1, 3, 1, 4, 0, 4, 3, 3, 0, 4, 0]
pubkeycol796 = [2, 2, 3, 4, 1, 2, 1, 2, 4, 3, 2, 4, 4, 0, 2, 0, 1, 2, 1, 0, 3, 1, 2, 2, 0, 1, 0, 2, 1, 0, 4, 0, 0, 2, 0, 1, 0, 0, 4, 1, 4, 3, 4, 3, 4, 1, 3, 3, 3, 2, 3, 4, 2, 0, 4, 3, 2, 4, 3, 1, 4, 4, 2, 0, 3, 2, 2, 1, 1, 4, 1, 4, 2, 3, 1, 3, 4, 0, 2, 0, 2, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 4, 1, 3, 3, 4, 1, 1, 3, 4, 3, 2, 0, 1, 0, 0, 2, 4, 0, 1, 1, 4, 1, 1, 4, 3, 3, 0, 3, 3, 1, 1, 4, 3, 1, 4, 0, 1, 0, 2, 3, 3, 0, 2, 0, 3, 4, 4, 3, 4, 0, 0, 2, 4, 0, 3, 4, 4, 2, 3, 3, 4, 0, 4, 3, 3, 3, 4, 4, 4, 2, 2, 2, 4, 2, 2, 4, 0, 0, 1, 2, 0, 1, 1, 2, 1, 4, 3, 3, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 3, 0, 4, 2, 0, 2, 0, 3, 0, 0, 2, 1, 1, 1, 4, 4, 0, 0, 3, 0, 1, 4, 3, 0, 3, 2, 1, 2, 3, 0, 3, 4, 2, 4, 0, 0, 2, 0, 0, 0, 0, 3, 0, 4, 3, 4, 2, 2, 0, 0, 3, 1, 0, 2, 1, 0, 1, 2, 2, 3, 2, 3, 0, 3, 3, 4, 2, 4, 4, 3, 3, 0, 1, 1, 4, 0, 3, 0, 4, 4, 2, 0, 0, 1, 1, 1, 0, 1, 4, 0, 4, 2, 0, 0, 1, 3, 2, 2, 2, 2, 1, 3, 4, 3, 3, 4, 2, 3, 3, 4, 0, 4, 4, 1, 0, 1, 3, 0, 1, 3, 1, 4, 0, 1, 1, 2, 0, 0, 0, 4, 1, 1, 3, 4, 1, 3, 0, 4, 1, 3, 4, 1, 2, 0, 3, 3, 2, 3, 3, 2, 2, 4, 1, 2, 3, 1, 0, 1, 1, 4, 1, 4, 0, 1, 1, 4, 4, 4, 1, 1, 4, 2, 3, 3, 4, 4, 0, 2, 3, 2, 3, 2, 0, 3, 2, 3, 0, 4, 1, 4, 3, 4, 4, 4, 0, 0, 4, 2, 4, 2, 1, 4, 2, 0, 4, 3, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 3, 3, 2, 1, 3, 4, 1, 2, 2, 3, 2, 1, 0, 4, 2, 3, 0, 3, 3, 0, 4, 4, 0, 4, 4, 4, 3, 3, 4, 1, 2, 2, 0, 4, 2, 2, 4, 0, 0, 0, 0, 0, 4, 0, 2, 3, 4, 2, 4, 3, 4, 4, 4, 4, 4, 2, 3, 3, 4, 0, 0, 1, 4, 2, 2, 2, 3, 4, 3, 0, 2, 4, 3, 1, 2, 0, 0, 4, 3, 2, 0, 2, 3, 0, 2, 0, 3, 0, 4]
pubkeycol797 = [1, 0, 3, 4, 4, 3, 3, 1, 3, 1, 2, 3, 3, 4, 3, 0, 1, 1, 3, 2, 3, 4, 3, 3, 4, 1, 3, 3, 3, 0, 0, 0, 1, 4, 2, 2, 3, 0, 0, 3, 3, 0, 4, 0, 2, 0, 1, 3, 0, 1, 2, 3, 2, 3, 0, 0, 3, 1, 4, 4, 0, 1, 2, 1, 4, 3, 1, 1, 2, 2, 1, 1, 4, 2, 2, 4, 3, 3, 4, 4, 4, 2, 0, 3, 1, 1, 1, 2, 4, 0, 2, 2, 0, 4, 2, 1, 0, 2, 4, 4, 0, 4, 1, 0, 3, 0, 3, 4, 3, 3, 2, 2, 4, 1, 2, 4, 0, 2, 0, 2, 4, 2, 0, 0, 4, 0, 3, 4, 1, 0, 2, 3, 1, 4, 1, 0, 3, 2, 4, 1, 2, 4, 2, 1, 0, 4, 3, 0, 2, 2, 0, 0, 2, 1, 0, 3, 0, 2, 0, 4, 1, 1, 2, 3, 3, 0, 4, 2, 3, 2, 4, 4, 0, 4, 0, 2, 2, 0, 1, 2, 0, 3, 3, 4, 2, 0, 3, 1, 3, 3, 2, 4, 0, 2, 1, 0, 0, 3, 3, 3, 0, 3, 2, 4, 4, 3, 1, 2, 1, 3, 3, 2, 1, 0, 0, 0, 2, 2, 0, 4, 1, 4, 4, 3, 2, 4, 3, 1, 1, 3, 2, 2, 2, 2, 1, 2, 2, 0, 4, 4, 4, 3, 3, 3, 4, 1, 1, 3, 0, 3, 2, 0, 0, 1, 1, 1, 4, 0, 0, 4, 2, 2, 1, 1, 1, 4, 0, 4, 4, 2, 2, 1, 4, 4, 1, 3, 0, 3, 1, 4, 4, 4, 2, 1, 3, 0, 0, 3, 3, 1, 1, 3, 4, 3, 3, 4, 3, 4, 3, 4, 4, 1, 0, 1, 0, 2, 0, 2, 3, 3, 4, 0, 0, 1, 2, 3, 1, 4, 0, 0, 4, 4, 0, 4, 0, 4, 1, 4, 3, 0, 4, 1, 4, 3, 4, 0, 1, 4, 2, 1, 4, 4, 0, 3, 3, 1, 2, 3, 4, 4, 3, 0, 4, 0, 1, 4, 0, 0, 4, 3, 2, 2, 3, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 4, 3, 2, 0, 0, 1, 0, 1, 1, 3, 2, 4, 2, 0, 3, 3, 2, 3, 2, 1, 3, 2, 3, 2, 0, 4, 0, 0, 1, 4, 4, 0, 3, 0, 2, 4, 2, 3, 1, 3, 4, 2, 4, 3, 1, 3, 3, 4, 4, 4, 1, 2, 2, 4, 4, 0, 1, 0, 2, 0, 0, 0, 3, 1, 3, 0, 2, 2, 4, 1, 4, 2, 2, 4, 1, 1, 3, 3, 4, 3, 0, 4, 2, 1, 2, 4, 3, 1, 0, 4, 0, 4, 2, 1, 4, 0, 0, 2, 1, 0, 1, 4, 2, 3, 0, 1, 2, 4, 3, 4, 4, 0, 3, 1, 0, 4, 3, 3, 0, 3, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 4, 3]
pubkeycol798 = [0, 1, 2, 4, 0, 1, 2, 2, 4, 3, 3, 1, 1, 0, 4, 4, 2, 0, 3, 1, 2, 3, 4, 3, 1, 3, 2, 1, 0, 1, 3, 3, 3, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 3, 0, 2, 4, 1, 4, 3, 2, 0, 4, 4, 0, 0, 0, 1, 4, 2, 1, 0, 4, 0, 4, 3, 0, 1, 1, 2, 0, 0, 4, 2, 0, 3, 4, 1, 1, 2, 2, 0, 4, 0, 0, 4, 3, 2, 2, 3, 2, 1, 3, 1, 3, 2, 4, 2, 3, 3, 3, 1, 1, 2, 1, 3, 2, 0, 2, 2, 0, 3, 0, 0, 4, 4, 1, 0, 3, 4, 3, 1, 2, 0, 2, 0, 4, 2, 3, 3, 0, 3, 0, 2, 2, 3, 2, 4, 4, 3, 3, 0, 4, 0, 0, 2, 4, 2, 0, 1, 3, 4, 0, 2, 3, 4, 1, 3, 0, 4, 3, 2, 0, 4, 0, 0, 4, 1, 0, 2, 1, 3, 3, 3, 1, 3, 3, 4, 1, 0, 2, 1, 1, 3, 3, 1, 1, 2, 0, 1, 3, 3, 2, 4, 4, 1, 0, 2, 2, 1, 3, 0, 3, 1, 1, 4, 1, 4, 4, 3, 1, 1, 0, 1, 4, 3, 0, 1, 3, 2, 2, 3, 2, 3, 2, 1, 3, 1, 2, 0, 2, 3, 3, 1, 2, 1, 3, 2, 1, 3, 2, 1, 0, 2, 2, 2, 1, 4, 1, 0, 4, 4, 0, 3, 4, 0, 3, 2, 0, 3, 1, 0, 1, 1, 4, 2, 3, 3, 1, 4, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 3, 4, 3, 1, 2, 1, 1, 2, 0, 4, 2, 4, 4, 1, 3, 0, 3, 0, 2, 2, 0, 0, 3, 4, 1, 0, 2, 3, 2, 1, 2, 4, 0, 3, 2, 3, 3, 4, 4, 3, 1, 0, 0, 3, 2, 0, 1, 2, 4, 4, 1, 0, 2, 0, 4, 3, 0, 3, 1, 1, 4, 3, 4, 1, 0, 1, 2, 0, 1, 4, 3, 4, 2, 1, 3, 0, 4, 1, 4, 1, 3, 4, 4, 1, 2, 1, 0, 4, 2, 3, 4, 2, 1, 4, 4, 1, 3, 4, 2, 2, 4, 0, 3, 1, 4, 3, 3, 4, 3, 2, 2, 1, 3, 2, 2, 2, 3, 3, 1, 4, 4, 4, 0, 3, 0, 4, 4, 3, 4, 4, 4, 0, 0, 3, 2, 2, 3, 4, 1, 0, 4, 4, 0, 3, 3, 0, 3, 3, 4, 2, 4, 3, 3, 1, 2, 3, 0, 2, 4, 1, 2, 0, 1, 1, 4, 0, 2, 1, 0, 2, 3, 3, 0, 3, 3, 3, 2, 4, 4, 3, 1, 1, 0, 4, 1, 4, 0, 4, 4, 0, 2, 0, 3, 1, 4, 2, 2, 3, 2, 0, 0, 0, 4, 1, 2, 0, 3, 0, 1, 1, 4, 1, 1, 3, 2, 4, 4, 4, 2, 3, 0]
pubkeycol799 = [3, 2, 3, 2, 3, 1, 3, 4, 2, 0, 3, 3, 2, 3, 1, 4, 2, 3, 2, 3, 3, 2, 0, 4, 1, 1, 0, 3, 1, 2, 4, 0, 2, 0, 3, 3, 3, 2, 0, 1, 2, 1, 1, 2, 4, 0, 1, 0, 4, 2, 2, 4, 2, 1, 2, 0, 0, 0, 4, 2, 0, 0, 3, 1, 2, 1, 3, 0, 0, 0, 4, 0, 4, 1, 0, 0, 3, 4, 3, 1, 4, 0, 2, 2, 2, 1, 0, 3, 2, 0, 3, 4, 3, 4, 0, 3, 0, 3, 1, 3, 3, 2, 4, 0, 3, 3, 3, 4, 0, 3, 4, 2, 1, 0, 1, 4, 4, 3, 1, 4, 2, 3, 1, 1, 2, 2, 1, 4, 3, 2, 4, 2, 1, 3, 2, 3, 0, 2, 1, 4, 1, 2, 4, 3, 4, 3, 2, 4, 2, 2, 4, 2, 2, 2, 0, 4, 2, 0, 2, 1, 3, 3, 0, 4, 2, 2, 3, 2, 0, 2, 0, 4, 1, 4, 0, 0, 1, 3, 4, 4, 1, 2, 3, 4, 1, 4, 0, 0, 1, 3, 1, 2, 2, 1, 3, 4, 1, 0, 3, 2, 3, 0, 1, 4, 1, 3, 2, 2, 2, 3, 0, 4, 0, 0, 3, 3, 3, 0, 1, 3, 4, 1, 0, 3, 4, 3, 2, 0, 3, 4, 1, 0, 4, 4, 1, 2, 1, 0, 0, 1, 3, 2, 1, 3, 4, 0, 0, 2, 0, 4, 3, 3, 3, 3, 2, 0, 2, 3, 4, 3, 0, 3, 2, 4, 1, 4, 1, 0, 2, 4, 4, 2, 1, 2, 4, 0, 1, 4, 0, 1, 0, 4, 3, 3, 2, 0, 0, 3, 1, 4, 3, 1, 0, 3, 3, 2, 1, 2, 0, 4, 3, 2, 1, 4, 1, 1, 4, 0, 1, 2, 2, 0, 3, 0, 3, 3, 2, 0, 4, 4, 1, 3, 0, 0, 2, 4, 4, 0, 3, 4, 4, 3, 1, 3, 4, 4, 0, 2, 2, 2, 0, 1, 4, 4, 1, 4, 2, 0, 0, 3, 3, 3, 4, 2, 2, 3, 4, 2, 4, 4, 1, 1, 0, 3, 4, 1, 2, 1, 1, 3, 0, 0, 4, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 3, 4, 2, 4, 4, 4, 1, 2, 3, 3, 1, 4, 0, 2, 0, 4, 4, 2, 1, 2, 3, 0, 2, 2, 1, 4, 0, 1, 0, 2, 1, 0, 4, 2, 4, 4, 3, 3, 2, 3, 0, 3, 2, 4, 3, 4, 0, 3, 4, 4, 0, 1, 3, 2, 2, 0, 3, 2, 4, 3, 0, 2, 0, 1, 2, 0, 1, 1, 4, 2, 1, 4, 3, 3, 0, 4, 3, 0, 1, 1, 2, 3, 2, 0, 4, 3, 3, 1, 0, 4, 1, 4, 0, 0, 2, 4, 0, 0, 3, 2, 2, 3, 4, 1, 4, 4, 4, 2, 2, 0, 4, 1, 1, 1, 0, 2, 1, 2, 0, 4, 3]
pubkeycol800 = [2, 2, 2, 1, 4, 0, 1, 0, 1, 0, 1, 4, 2, 1, 4, 4, 3, 3, 0, 1, 2, 3, 4, 2, 0, 2, 1, 2, 1, 4, 4, 2, 1, 4, 2, 3, 3, 2, 0, 4, 2, 0, 0, 1, 0, 2, 3, 2, 1, 2, 4, 0, 4, 0, 0, 2, 4, 1, 4, 4, 4, 3, 1, 3, 4, 0, 4, 4, 1, 1, 2, 0, 0, 4, 4, 2, 2, 3, 0, 2, 1, 4, 2, 3, 1, 1, 0, 4, 4, 2, 3, 1, 0, 3, 2, 3, 3, 3, 0, 1, 4, 4, 3, 1, 0, 4, 0, 2, 3, 2, 4, 2, 2, 0, 0, 2, 3, 1, 4, 3, 3, 0, 4, 4, 4, 2, 2, 1, 2, 3, 4, 3, 4, 4, 0, 2, 0, 3, 3, 4, 2, 1, 1, 4, 1, 1, 4, 1, 4, 3, 0, 2, 2, 4, 0, 3, 0, 4, 1, 3, 1, 0, 2, 0, 0, 0, 3, 4, 4, 0, 4, 2, 1, 4, 4, 4, 0, 0, 4, 0, 1, 0, 3, 3, 0, 1, 0, 0, 1, 0, 1, 2, 2, 3, 1, 1, 2, 0, 3, 0, 0, 3, 3, 0, 2, 2, 2, 1, 0, 4, 4, 1, 4, 2, 2, 0, 0, 2, 2, 0, 4, 1, 4, 1, 1, 1, 3, 3, 3, 4, 3, 0, 2, 3, 0, 0, 0, 3, 2, 4, 4, 0, 4, 2, 2, 3, 4, 4, 4, 1, 3, 1, 3, 3, 1, 2, 2, 1, 0, 0, 0, 0, 4, 2, 0, 4, 4, 3, 2, 2, 4, 3, 4, 0, 0, 4, 4, 3, 0, 0, 3, 1, 0, 2, 2, 3, 2, 1, 0, 2, 0, 2, 4, 1, 4, 1, 4, 3, 4, 4, 4, 4, 0, 1, 2, 1, 2, 1, 3, 2, 4, 3, 0, 1, 1, 2, 4, 0, 2, 0, 0, 0, 0, 3, 3, 3, 0, 0, 4, 2, 2, 0, 4, 0, 1, 1, 4, 3, 0, 3, 4, 0, 1, 3, 1, 1, 2, 1, 0, 3, 3, 3, 3, 1, 0, 1, 4, 4, 3, 0, 0, 0, 1, 0, 2, 2, 4, 2, 1, 3, 3, 2, 1, 1, 4, 1, 4, 3, 4, 4, 1, 4, 2, 2, 2, 0, 4, 0, 3, 4, 4, 2, 1, 1, 1, 3, 1, 1, 0, 0, 0, 4, 0, 2, 3, 3, 1, 4, 3, 1, 0, 1, 3, 1, 4, 0, 3, 2, 4, 1, 4, 4, 4, 1, 3, 4, 4, 0, 4, 2, 3, 2, 3, 4, 2, 3, 3, 2, 4, 1, 3, 0, 1, 3, 2, 3, 4, 4, 1, 2, 2, 4, 1, 1, 2, 3, 3, 2, 3, 4, 0, 1, 0, 4, 0, 4, 0, 3, 4, 4, 0, 1, 0, 0, 0, 3, 3, 3, 0, 4, 4, 2, 1, 0, 2, 0, 0, 1, 2, 3, 2, 4, 2, 3, 2, 3, 4, 0, 4, 2, 3, 3, 3, 3, 1]
pubkeycol801 = [2, 3, 4, 2, 4, 3, 0, 2, 4, 2, 1, 2, 2, 1, 0, 2, 4, 4, 0, 4, 4, 2, 3, 2, 4, 3, 4, 0, 3, 0, 0, 3, 1, 1, 4, 0, 4, 2, 1, 1, 4, 0, 0, 4, 1, 2, 2, 1, 3, 3, 2, 4, 3, 3, 3, 2, 1, 2, 4, 4, 3, 3, 2, 1, 1, 4, 3, 3, 0, 4, 0, 1, 4, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 3, 1, 0, 3, 1, 0, 0, 0, 0, 0, 4, 0, 0, 2, 2, 3, 3, 4, 3, 3, 0, 1, 3, 1, 3, 4, 2, 4, 3, 1, 1, 4, 3, 3, 3, 1, 4, 0, 1, 3, 1, 1, 0, 1, 0, 2, 0, 3, 4, 3, 1, 1, 4, 1, 3, 1, 4, 2, 3, 4, 1, 1, 1, 0, 2, 3, 3, 1, 3, 1, 3, 2, 1, 0, 3, 1, 4, 2, 0, 1, 0, 0, 0, 4, 3, 3, 0, 4, 1, 0, 4, 3, 0, 4, 0, 0, 2, 2, 4, 4, 0, 3, 4, 3, 3, 2, 3, 2, 3, 2, 3, 1, 0, 2, 1, 0, 3, 3, 3, 2, 2, 3, 1, 4, 2, 3, 0, 3, 4, 2, 0, 1, 4, 0, 2, 1, 0, 4, 4, 2, 1, 3, 4, 1, 3, 4, 2, 4, 4, 3, 0, 0, 2, 3, 1, 3, 4, 4, 2, 4, 1, 3, 1, 4, 2, 1, 0, 4, 1, 4, 2, 0, 4, 3, 3, 3, 4, 2, 3, 4, 2, 0, 0, 3, 1, 3, 3, 1, 1, 3, 3, 3, 4, 1, 4, 3, 1, 2, 1, 1, 3, 2, 3, 1, 2, 0, 1, 1, 0, 4, 4, 0, 0, 3, 3, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 4, 3, 1, 4, 1, 4, 2, 2, 3, 4, 3, 2, 2, 2, 0, 0, 0, 1, 3, 2, 2, 0, 1, 3, 2, 1, 3, 4, 3, 1, 2, 1, 2, 0, 3, 4, 2, 0, 3, 0, 0, 3, 2, 0, 0, 0, 0, 3, 4, 4, 1, 0, 3, 2, 4, 2, 1, 0, 4, 3, 4, 2, 3, 4, 1, 3, 2, 3, 1, 2, 3, 3, 4, 1, 3, 3, 3, 4, 3, 4, 3, 0, 3, 1, 2, 2, 1, 4, 1, 3, 3, 0, 4, 0, 4, 2, 2, 1, 3, 0, 2, 0, 4, 1, 4, 2, 4, 0, 4, 1, 4, 3, 3, 4, 1, 2, 4, 0, 2, 3, 0, 0, 0, 3, 2, 3, 0, 0, 2, 0, 2, 0, 1, 3, 3, 1, 3, 4, 1, 0, 0, 2, 2, 1, 4, 4, 2, 4, 2, 1, 3, 1, 1, 1, 0, 1, 0, 4, 4, 1, 2, 3, 2, 4, 1, 2, 2, 0, 2, 4, 0, 0, 1, 3, 2, 3, 3, 1, 0, 0, 3, 3, 1, 4, 1, 2, 2, 2, 1, 4, 0, 0, 4, 2, 0]
pubkeycol802 = [4, 4, 3, 0, 4, 1, 4, 4, 1, 2, 4, 3, 0, 3, 3, 1, 4, 3, 4, 3, 3, 4, 1, 0, 0, 0, 3, 3, 1, 3, 4, 3, 0, 2, 3, 0, 3, 1, 0, 3, 2, 2, 2, 1, 4, 1, 1, 1, 3, 0, 2, 2, 2, 3, 3, 3, 0, 3, 4, 2, 1, 0, 2, 0, 1, 4, 0, 1, 1, 1, 0, 3, 3, 2, 3, 3, 3, 2, 2, 1, 3, 0, 0, 4, 0, 1, 1, 3, 0, 3, 0, 2, 0, 3, 2, 0, 4, 4, 2, 0, 3, 4, 4, 2, 0, 4, 4, 4, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 4, 3, 3, 3, 1, 4, 4, 4, 1, 3, 4, 0, 1, 2, 1, 2, 0, 3, 4, 2, 0, 3, 3, 3, 3, 3, 1, 3, 2, 0, 3, 0, 4, 0, 4, 4, 4, 4, 0, 1, 2, 4, 2, 4, 2, 4, 4, 3, 1, 0, 1, 4, 0, 2, 1, 3, 1, 1, 0, 4, 2, 1, 0, 1, 0, 1, 2, 2, 3, 1, 1, 4, 0, 4, 3, 4, 1, 1, 2, 4, 4, 2, 4, 0, 4, 1, 3, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 4, 0, 2, 1, 1, 2, 0, 1, 1, 2, 4, 4, 4, 3, 0, 0, 0, 0, 1, 2, 1, 4, 2, 4, 3, 1, 0, 1, 2, 3, 1, 4, 0, 2, 2, 1, 4, 3, 3, 0, 2, 1, 1, 3, 1, 3, 4, 3, 1, 3, 2, 0, 1, 0, 2, 0, 3, 4, 3, 3, 2, 3, 3, 0, 2, 1, 3, 4, 3, 4, 4, 1, 2, 3, 3, 0, 2, 2, 1, 3, 1, 3, 0, 3, 4, 2, 1, 3, 2, 1, 4, 3, 0, 0, 3, 3, 2, 1, 1, 4, 1, 3, 4, 4, 2, 2, 4, 3, 3, 2, 3, 3, 3, 1, 3, 0, 0, 3, 3, 3, 1, 0, 1, 2, 0, 0, 4, 4, 2, 2, 4, 0, 3, 3, 1, 1, 2, 1, 2, 1, 1, 1, 4, 1, 3, 4, 0, 1, 2, 4, 4, 0, 2, 0, 0, 4, 2, 3, 1, 4, 2, 3, 4, 2, 0, 2, 0, 0, 3, 0, 2, 0, 1, 2, 3, 4, 3, 4, 0, 3, 2, 1, 4, 1, 1, 1, 3, 1, 4, 3, 0, 1, 4, 2, 2, 0, 2, 4, 1, 3, 2, 4, 4, 3, 1, 4, 3, 4, 1, 3, 4, 2, 4, 3, 0, 2, 1, 2, 1, 1, 2, 4, 1, 2, 3, 3, 0, 1, 4, 0, 2, 3, 0, 3, 0, 4, 1, 3, 0, 3, 0, 1, 3, 1, 1, 2, 0, 0, 3, 4, 2, 3, 4, 3, 2, 2, 0, 2, 0, 4, 4, 0, 2, 4, 3, 3, 3, 0, 1, 1, 0, 1, 0, 2, 1, 4, 1, 4, 4, 4, 0, 0, 4, 4, 4, 2, 1, 3, 2, 2]
pubkeycol803 = [1, 1, 0, 1, 0, 1, 2, 4, 2, 3, 2, 4, 4, 0, 0, 2, 4, 0, 2, 1, 2, 0, 4, 2, 3, 3, 1, 4, 1, 4, 2, 1, 0, 1, 0, 4, 1, 3, 1, 2, 1, 2, 0, 2, 1, 1, 2, 4, 2, 2, 0, 3, 2, 2, 1, 1, 1, 3, 2, 4, 1, 0, 0, 0, 1, 1, 3, 4, 4, 2, 1, 3, 3, 2, 2, 3, 3, 3, 4, 3, 3, 4, 0, 0, 0, 0, 4, 1, 0, 1, 1, 0, 3, 4, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 4, 0, 2, 3, 1, 3, 2, 3, 4, 4, 3, 4, 1, 1, 2, 4, 0, 4, 4, 4, 0, 1, 1, 3, 0, 1, 3, 4, 4, 1, 4, 4, 4, 2, 4, 1, 1, 2, 0, 2, 2, 2, 2, 1, 3, 4, 1, 4, 3, 0, 2, 4, 1, 1, 4, 1, 2, 3, 2, 3, 1, 0, 0, 4, 4, 0, 3, 4, 0, 2, 2, 0, 3, 0, 3, 2, 2, 0, 1, 3, 4, 0, 4, 0, 2, 4, 1, 3, 4, 3, 1, 3, 4, 1, 1, 0, 4, 1, 2, 4, 2, 3, 0, 3, 1, 1, 3, 3, 2, 2, 1, 2, 4, 2, 2, 3, 3, 3, 2, 2, 0, 1, 0, 4, 2, 4, 4, 3, 2, 1, 2, 2, 3, 3, 3, 2, 0, 0, 4, 2, 0, 3, 1, 3, 2, 2, 3, 0, 3, 2, 3, 2, 4, 0, 2, 1, 1, 2, 4, 0, 4, 1, 4, 0, 2, 1, 4, 4, 1, 2, 3, 2, 4, 3, 4, 4, 2, 3, 2, 0, 4, 2, 4, 2, 4, 3, 3, 2, 3, 1, 4, 0, 1, 0, 2, 2, 4, 2, 3, 1, 3, 3, 2, 3, 2, 2, 4, 1, 4, 1, 4, 3, 1, 1, 1, 4, 2, 2, 0, 0, 4, 4, 0, 0, 1, 4, 4, 1, 0, 4, 1, 4, 4, 2, 4, 0, 4, 0, 0, 3, 2, 1, 1, 4, 3, 3, 1, 4, 2, 2, 3, 3, 1, 2, 0, 4, 2, 3, 2, 1, 4, 3, 2, 2, 3, 1, 1, 3, 0, 2, 4, 2, 3, 3, 2, 1, 0, 1, 2, 0, 2, 3, 3, 4, 0, 4, 1, 1, 4, 4, 2, 4, 2, 3, 4, 4, 1, 3, 0, 0, 4, 0, 3, 2, 4, 1, 2, 4, 3, 4, 3, 2, 4, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 3, 0, 1, 0, 3, 1, 0, 4, 3, 0, 4, 3, 4, 1, 4, 2, 1, 1, 3, 3, 4, 0, 4, 4, 4, 3, 1, 2, 2, 0, 1, 2, 2, 3, 4, 4, 1, 2, 3, 1, 3, 4, 1, 3, 3, 1, 0, 3, 0, 4, 3, 4, 0, 1, 1, 0, 3, 2, 0, 3, 2, 0, 3, 3, 4, 1, 1, 2, 2, 1, 2, 4, 2, 4, 2, 4]
pubkeycol804 = [2, 2, 3, 2, 1, 4, 4, 2, 1, 2, 1, 0, 0, 1, 0, 4, 3, 1, 1, 3, 2, 2, 1, 2, 1, 3, 0, 3, 1, 1, 2, 1, 0, 2, 3, 0, 4, 2, 1, 4, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 3, 3, 4, 3, 0, 1, 4, 0, 4, 1, 0, 1, 0, 1, 2, 3, 0, 1, 4, 3, 3, 2, 3, 3, 0, 4, 1, 3, 3, 0, 4, 2, 3, 2, 1, 4, 3, 0, 3, 4, 3, 4, 0, 3, 2, 4, 2, 0, 2, 3, 2, 2, 4, 1, 1, 3, 1, 2, 3, 4, 1, 1, 4, 3, 2, 1, 1, 3, 1, 4, 2, 0, 0, 1, 2, 3, 3, 4, 4, 2, 0, 3, 1, 2, 2, 2, 3, 1, 0, 0, 0, 0, 3, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 4, 1, 0, 3, 3, 2, 1, 1, 2, 1, 1, 2, 0, 4, 1, 4, 4, 1, 2, 4, 4, 4, 4, 3, 1, 4, 0, 4, 4, 2, 1, 1, 4, 4, 2, 1, 1, 0, 3, 4, 3, 4, 1, 0, 0, 3, 2, 0, 2, 3, 0, 0, 1, 4, 0, 1, 2, 3, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 4, 3, 2, 2, 2, 2, 0, 0, 1, 3, 4, 0, 4, 2, 0, 4, 0, 1, 2, 3, 4, 2, 1, 0, 2, 3, 1, 0, 3, 2, 2, 2, 4, 3, 2, 3, 0, 4, 2, 4, 2, 4, 4, 3, 1, 3, 0, 3, 4, 1, 3, 2, 2, 1, 2, 3, 1, 4, 0, 3, 4, 2, 3, 0, 4, 2, 3, 1, 4, 3, 1, 4, 1, 2, 3, 4, 1, 2, 4, 1, 0, 3, 3, 4, 2, 0, 2, 3, 3, 4, 1, 4, 1, 4, 4, 2, 4, 0, 0, 4, 1, 1, 4, 0, 0, 0, 2, 4, 3, 0, 0, 0, 3, 1, 2, 3, 1, 4, 1, 0, 1, 0, 1, 0, 1, 0, 0, 4, 0, 1, 0, 0, 3, 2, 2, 3, 1, 0, 3, 2, 4, 0, 3, 1, 4, 0, 4, 1, 1, 1, 0, 4, 2, 2, 4, 2, 1, 3, 4, 2, 2, 3, 2, 3, 1, 4, 0, 0, 3, 0, 4, 0, 0, 4, 0, 1, 2, 1, 0, 1, 3, 1, 0, 4, 3, 3, 2, 4, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 3, 3, 0, 3, 3, 2, 1, 3, 4, 0, 2, 0, 3, 2, 3, 4, 3, 2, 0, 2, 3, 4, 1, 0, 2, 0, 1, 1, 2, 2, 0, 3, 3, 1, 3, 4, 2, 0, 0, 4, 4, 3, 0, 1, 4, 4, 0, 3, 4, 3, 2, 3, 1, 2, 2, 2, 3, 2, 0, 3, 4, 2, 4, 2, 2, 3, 1, 0, 3, 1, 0, 3, 4, 3, 0, 2, 1]
pubkeycol805 = [1, 1, 1, 1, 1, 4, 0, 4, 4, 1, 1, 3, 3, 0, 2, 2, 0, 3, 4, 0, 3, 1, 4, 0, 2, 3, 2, 0, 0, 2, 3, 0, 4, 4, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 3, 1, 1, 1, 3, 3, 4, 0, 1, 4, 2, 2, 1, 1, 0, 0, 3, 0, 3, 0, 1, 3, 3, 4, 1, 2, 2, 1, 2, 2, 3, 2, 3, 0, 0, 3, 2, 2, 1, 1, 3, 2, 4, 3, 3, 4, 2, 4, 1, 0, 1, 2, 4, 0, 0, 2, 0, 1, 3, 2, 2, 3, 3, 3, 0, 2, 3, 2, 1, 3, 2, 2, 2, 2, 1, 4, 0, 2, 3, 3, 4, 4, 1, 4, 0, 0, 4, 2, 1, 3, 0, 1, 2, 3, 1, 4, 2, 0, 2, 3, 1, 4, 1, 2, 2, 0, 0, 2, 0, 0, 3, 3, 2, 0, 3, 3, 1, 3, 4, 4, 1, 0, 3, 1, 2, 0, 4, 2, 3, 0, 3, 3, 0, 0, 1, 4, 1, 2, 2, 0, 3, 0, 3, 3, 4, 4, 2, 3, 2, 1, 2, 4, 3, 3, 4, 4, 1, 4, 4, 1, 4, 4, 2, 2, 3, 1, 1, 0, 4, 3, 0, 0, 0, 4, 2, 4, 3, 1, 1, 4, 3, 2, 1, 3, 1, 0, 2, 4, 0, 1, 4, 1, 0, 3, 1, 4, 3, 3, 3, 1, 1, 3, 2, 4, 2, 4, 0, 0, 3, 4, 2, 2, 3, 1, 0, 1, 0, 4, 0, 1, 1, 2, 2, 3, 4, 3, 1, 2, 1, 3, 0, 2, 1, 1, 2, 0, 1, 3, 4, 1, 0, 0, 3, 2, 4, 2, 0, 2, 1, 2, 4, 1, 0, 4, 0, 1, 3, 0, 2, 3, 3, 4, 2, 3, 2, 1, 0, 4, 4, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 4, 0, 0, 2, 0, 1, 4, 1, 2, 1, 4, 0, 1, 2, 4, 3, 1, 2, 0, 2, 4, 2, 2, 4, 0, 3, 0, 1, 0, 0, 2, 3, 4, 3, 4, 0, 4, 3, 2, 3, 1, 1, 4, 3, 4, 0, 4, 0, 0, 4, 4, 2, 1, 3, 4, 1, 4, 3, 3, 3, 1, 1, 0, 0, 2, 1, 0, 2, 4, 1, 4, 3, 0, 2, 0, 1, 1, 3, 0, 0, 1, 2, 4, 0, 1, 0, 0, 4, 0, 3, 1, 4, 4, 3, 2, 3, 1, 1, 0, 0, 3, 0, 1, 2, 0, 1, 0, 4, 0, 0, 4, 1, 2, 3, 1, 0, 3, 1, 2, 0, 4, 4, 1, 4, 2, 1, 3, 1, 1, 4, 4, 3, 0, 2, 4, 3, 0, 2, 2, 0, 0, 2, 3, 1, 3, 3, 4, 0, 4, 0, 2, 3, 0, 3, 1, 0, 3, 0, 1, 1, 1, 4, 1, 3, 3, 3, 4, 0, 1, 1, 3, 1, 4, 1, 0, 1, 2, 0, 4, 0]
pubkeycol806 = [2, 0, 0, 1, 2, 2, 2, 4, 0, 1, 4, 4, 2, 1, 2, 4, 2, 3, 1, 0, 0, 1, 2, 1, 0, 4, 0, 4, 3, 2, 1, 4, 3, 4, 1, 3, 1, 4, 3, 4, 3, 4, 2, 1, 0, 0, 2, 2, 0, 0, 0, 3, 3, 0, 2, 1, 3, 3, 2, 2, 0, 2, 4, 2, 0, 4, 0, 0, 4, 3, 0, 1, 4, 0, 0, 0, 1, 3, 4, 2, 3, 2, 4, 0, 2, 3, 1, 3, 0, 3, 4, 2, 4, 2, 3, 2, 1, 4, 2, 3, 1, 2, 4, 0, 0, 0, 1, 2, 2, 1, 4, 3, 4, 0, 0, 3, 3, 2, 0, 3, 2, 0, 1, 3, 4, 4, 3, 4, 0, 2, 1, 1, 1, 3, 3, 3, 1, 4, 1, 3, 3, 2, 4, 2, 2, 3, 1, 0, 4, 4, 2, 4, 1, 0, 2, 1, 3, 3, 2, 3, 0, 1, 0, 4, 1, 4, 1, 3, 3, 4, 1, 3, 2, 4, 1, 1, 0, 0, 3, 2, 3, 0, 3, 2, 4, 2, 4, 1, 0, 4, 2, 2, 4, 4, 0, 0, 3, 1, 3, 0, 4, 4, 1, 1, 4, 1, 4, 0, 1, 2, 4, 3, 0, 2, 1, 0, 1, 3, 1, 1, 1, 0, 2, 0, 3, 2, 2, 1, 3, 4, 1, 3, 0, 2, 2, 2, 2, 2, 3, 3, 2, 2, 4, 2, 3, 0, 4, 1, 4, 3, 3, 4, 0, 0, 1, 1, 3, 1, 2, 3, 1, 1, 2, 3, 2, 1, 4, 2, 4, 2, 2, 0, 2, 3, 0, 3, 1, 4, 1, 2, 2, 3, 1, 3, 2, 3, 3, 0, 1, 4, 3, 3, 2, 2, 1, 1, 2, 0, 3, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 4, 4, 4, 2, 1, 2, 3, 1, 1, 2, 3, 4, 2, 0, 4, 3, 1, 4, 3, 1, 0, 2, 4, 2, 2, 2, 2, 0, 1, 3, 2, 0, 4, 1, 4, 3, 0, 3, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 4, 3, 0, 1, 1, 1, 3, 3, 2, 1, 1, 3, 0, 1, 4, 3, 2, 0, 2, 4, 3, 0, 0, 3, 2, 1, 4, 1, 4, 2, 3, 0, 0, 1, 3, 2, 4, 2, 4, 4, 4, 3, 3, 3, 2, 0, 1, 4, 4, 3, 3, 4, 4, 4, 2, 4, 3, 4, 1, 3, 4, 3, 1, 0, 2, 1, 3, 0, 0, 3, 1, 2, 1, 1, 3, 0, 4, 2, 2, 1, 1, 4, 2, 4, 0, 2, 3, 4, 1, 3, 1, 0, 2, 2, 4, 0, 3, 2, 4, 4, 2, 1, 1, 1, 3, 3, 1, 4, 2, 2, 1, 3, 1, 2, 4, 1, 2, 2, 4, 2, 2, 4, 4, 3, 1, 3, 3, 3, 1, 2, 3, 1, 3, 1, 3, 2, 0, 0, 4, 4, 1]
pubkeycol807 = [2, 2, 3, 0, 3, 2, 4, 3, 2, 4, 3, 4, 0, 3, 0, 3, 2, 2, 0, 1, 1, 1, 2, 4, 1, 3, 2, 1, 1, 3, 3, 2, 0, 0, 0, 2, 3, 1, 4, 2, 3, 2, 1, 2, 4, 4, 3, 3, 0, 0, 4, 2, 0, 1, 4, 0, 3, 3, 4, 2, 2, 3, 4, 1, 3, 0, 2, 4, 4, 4, 3, 4, 0, 1, 2, 2, 0, 0, 4, 2, 3, 3, 3, 3, 2, 0, 3, 2, 1, 4, 1, 4, 2, 4, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 4, 3, 1, 0, 1, 4, 4, 2, 2, 0, 4, 1, 2, 4, 1, 2, 4, 2, 1, 1, 4, 0, 3, 1, 0, 3, 4, 2, 2, 2, 1, 1, 3, 1, 1, 3, 0, 3, 0, 4, 2, 0, 3, 2, 1, 3, 1, 0, 3, 3, 2, 2, 2, 0, 2, 3, 1, 2, 1, 2, 0, 3, 1, 3, 1, 4, 2, 2, 2, 0, 4, 3, 0, 2, 0, 3, 3, 2, 0, 3, 3, 4, 1, 2, 1, 2, 1, 3, 3, 3, 3, 0, 4, 2, 2, 4, 3, 3, 1, 0, 1, 3, 0, 3, 2, 0, 4, 3, 0, 0, 4, 1, 3, 3, 3, 0, 3, 2, 3, 2, 1, 0, 1, 3, 1, 1, 0, 3, 4, 3, 3, 2, 4, 2, 1, 0, 0, 4, 1, 0, 3, 2, 0, 0, 2, 2, 2, 3, 2, 2, 4, 2, 0, 1, 3, 1, 0, 3, 0, 4, 2, 4, 3, 2, 2, 3, 0, 0, 3, 3, 3, 4, 1, 2, 2, 2, 2, 4, 4, 2, 3, 3, 1, 0, 0, 3, 1, 3, 3, 0, 0, 1, 1, 1, 3, 3, 2, 1, 1, 3, 2, 4, 3, 0, 2, 1, 0, 4, 0, 2, 4, 2, 4, 0, 3, 2, 4, 3, 2, 1, 2, 4, 2, 4, 4, 0, 0, 1, 2, 0, 0, 0, 3, 3, 4, 0, 3, 2, 1, 2, 3, 2, 2, 2, 4, 1, 2, 3, 4, 4, 2, 4, 0, 4, 1, 3, 4, 0, 0, 0, 0, 1, 4, 2, 1, 0, 4, 3, 4, 0, 2, 2, 2, 0, 0, 1, 4, 2, 2, 0, 3, 0, 4, 2, 4, 0, 0, 3, 3, 1, 4, 0, 4, 2, 0, 2, 2, 2, 4, 2, 0, 3, 4, 0, 1, 0, 2, 2, 3, 4, 4, 1, 4, 0, 2, 2, 3, 1, 3, 1, 0, 0, 2, 2, 0, 2, 3, 3, 1, 3, 3, 0, 1, 3, 0, 1, 0, 3, 3, 3, 0, 0, 1, 2, 3, 3, 0, 1, 2, 4, 2, 0, 0, 3, 1, 3, 3, 1, 0, 4, 4, 3, 3, 4, 2, 4, 3, 2, 0, 4, 3, 1, 1, 3, 3, 2, 2, 0, 0, 0, 4, 4, 1, 3, 1, 3, 0, 2, 0, 4, 0, 0, 2, 0, 4, 1, 0, 4, 2, 1, 1]
pubkeycol808 = [3, 2, 0, 1, 3, 3, 1, 2, 3, 4, 3, 3, 0, 1, 1, 0, 4, 4, 3, 2, 1, 2, 4, 1, 1, 1, 0, 4, 4, 3, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 4, 0, 1, 4, 4, 2, 1, 4, 4, 3, 2, 0, 0, 0, 4, 1, 1, 4, 4, 2, 3, 2, 3, 4, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 4, 2, 2, 2, 1, 0, 0, 3, 3, 2, 1, 3, 0, 0, 3, 1, 1, 1, 2, 2, 0, 2, 3, 0, 4, 3, 4, 1, 4, 2, 1, 4, 4, 3, 4, 0, 1, 3, 3, 4, 3, 3, 2, 3, 4, 4, 3, 1, 2, 0, 1, 0, 3, 0, 3, 3, 1, 3, 2, 1, 3, 3, 4, 3, 0, 0, 4, 2, 0, 0, 2, 2, 4, 4, 0, 4, 4, 3, 3, 0, 2, 3, 0, 1, 3, 2, 2, 1, 3, 0, 0, 2, 1, 4, 1, 3, 2, 0, 3, 1, 2, 4, 4, 0, 0, 2, 4, 2, 0, 4, 0, 4, 4, 1, 1, 3, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 4, 0, 3, 1, 0, 3, 2, 3, 1, 3, 3, 1, 2, 3, 0, 3, 4, 0, 1, 0, 4, 4, 1, 4, 4, 2, 4, 3, 3, 0, 0, 2, 2, 0, 4, 0, 1, 1, 0, 4, 3, 0, 2, 1, 2, 0, 3, 3, 4, 1, 2, 3, 2, 1, 0, 4, 3, 1, 4, 0, 1, 2, 3, 4, 4, 1, 1, 1, 0, 3, 2, 1, 2, 1, 2, 4, 0, 1, 1, 4, 0, 4, 0, 4, 1, 1, 2, 1, 1, 3, 3, 4, 3, 4, 0, 2, 2, 4, 1, 4, 2, 2, 2, 4, 2, 1, 4, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 4, 1, 0, 4, 4, 2, 1, 3, 1, 3, 3, 2, 1, 2, 3, 3, 2, 1, 3, 4, 2, 3, 2, 3, 2, 1, 4, 3, 1, 3, 3, 0, 4, 4, 2, 4, 4, 2, 0, 2, 2, 3, 4, 1, 1, 1, 1, 2, 4, 0, 4, 3, 0, 2, 0, 4, 3, 0, 2, 3, 3, 2, 4, 2, 2, 2, 1, 2, 2, 3, 3, 4, 1, 1, 0, 1, 4, 2, 2, 1, 1, 2, 4, 2, 0, 4, 4, 3, 0, 0, 2, 2, 0, 4, 1, 4, 0, 1, 2, 2, 2, 1, 2, 4, 0, 2, 2, 1, 4, 2, 4, 0, 4, 2, 0, 1, 2, 1, 3, 0, 3, 3, 1, 0, 3, 1, 1, 2, 2, 0, 4, 0, 2, 0, 1, 3, 1, 2, 3, 4, 0, 4, 0, 2, 2, 3, 4, 2, 0, 4, 2, 1, 3, 4, 3, 4, 3, 0, 4, 3, 0, 1, 2, 4, 2, 4, 4, 3, 2, 4, 4, 1, 4, 2, 1, 2, 3, 0, 1, 1, 3, 3, 3, 2, 0]
pubkeycol809 = [0, 1, 0, 3, 1, 1, 0, 4, 0, 4, 3, 0, 3, 4, 1, 3, 4, 1, 1, 2, 3, 1, 3, 3, 2, 1, 3, 3, 2, 4, 1, 3, 2, 0, 1, 1, 2, 2, 4, 1, 1, 4, 3, 4, 0, 1, 1, 3, 2, 0, 4, 1, 0, 4, 4, 3, 1, 4, 3, 4, 2, 3, 4, 3, 3, 1, 0, 1, 0, 3, 4, 3, 4, 0, 1, 3, 2, 4, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 4, 1, 2, 3, 0, 3, 3, 0, 0, 4, 1, 0, 3, 4, 2, 1, 1, 3, 0, 4, 0, 0, 3, 3, 1, 0, 0, 4, 0, 2, 1, 1, 4, 0, 2, 3, 3, 1, 4, 3, 4, 4, 1, 1, 3, 4, 1, 4, 4, 0, 1, 1, 3, 4, 2, 1, 1, 4, 2, 0, 0, 4, 3, 1, 4, 1, 0, 4, 0, 1, 4, 0, 3, 0, 0, 1, 1, 4, 3, 3, 4, 4, 4, 3, 2, 3, 4, 3, 4, 4, 0, 3, 2, 2, 0, 0, 0, 1, 4, 1, 1, 1, 1, 4, 3, 4, 2, 2, 2, 0, 3, 1, 1, 0, 1, 4, 0, 2, 3, 4, 2, 3, 4, 2, 2, 4, 2, 2, 0, 1, 1, 0, 0, 0, 2, 3, 1, 0, 0, 0, 4, 3, 0, 3, 0, 0, 2, 0, 2, 0, 2, 3, 2, 0, 2, 4, 1, 1, 3, 0, 0, 2, 4, 4, 4, 3, 4, 1, 0, 4, 0, 4, 0, 3, 3, 0, 4, 0, 4, 4, 0, 4, 1, 2, 2, 3, 2, 3, 3, 2, 0, 0, 0, 4, 2, 1, 1, 4, 1, 0, 2, 4, 3, 1, 0, 0, 1, 1, 0, 2, 2, 1, 4, 3, 4, 2, 3, 4, 0, 2, 1, 4, 2, 3, 3, 3, 3, 2, 1, 0, 2, 3, 3, 4, 0, 4, 2, 2, 1, 2, 2, 1, 3, 3, 1, 1, 2, 0, 0, 3, 0, 1, 0, 3, 2, 3, 1, 1, 4, 2, 3, 2, 1, 3, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 4, 0, 0, 4, 0, 2, 3, 3, 4, 1, 2, 2, 3, 0, 2, 4, 4, 1, 0, 1, 4, 4, 2, 1, 3, 0, 1, 4, 4, 1, 1, 2, 1, 1, 3, 3, 2, 2, 0, 4, 0, 1, 2, 1, 2, 3, 3, 0, 2, 2, 0, 4, 1, 3, 2, 4, 1, 1, 2, 2, 2, 2, 3, 0, 4, 0, 2, 2, 3, 0, 4, 1, 2, 2, 3, 0, 3, 3, 3, 0, 0, 4, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 4, 3, 3, 1, 0, 4, 2, 1, 2, 4, 0, 3, 0, 3, 0, 3, 0, 1, 3, 4, 4, 4, 4, 3, 3, 1, 1, 3, 4, 1, 2, 0, 0, 2, 4, 2, 0, 2, 4, 4, 4, 1, 2, 2]
pubkeycol810 = [1, 1, 0, 1, 0, 4, 4, 1, 0, 1, 1, 4, 0, 4, 0, 4, 1, 3, 0, 4, 1, 2, 1, 3, 3, 4, 3, 4, 0, 3, 0, 0, 1, 0, 1, 4, 4, 0, 2, 1, 4, 0, 1, 3, 0, 4, 3, 0, 2, 1, 1, 1, 0, 0, 4, 3, 1, 3, 0, 0, 1, 0, 3, 4, 3, 3, 1, 1, 1, 4, 4, 3, 0, 3, 1, 4, 1, 3, 2, 1, 0, 4, 3, 2, 0, 0, 3, 0, 3, 0, 4, 2, 1, 2, 2, 3, 2, 2, 4, 1, 2, 0, 3, 4, 2, 1, 3, 1, 1, 1, 0, 3, 0, 2, 3, 2, 2, 0, 1, 1, 1, 0, 2, 3, 0, 2, 4, 4, 2, 1, 3, 1, 2, 1, 0, 3, 1, 2, 0, 2, 0, 1, 2, 3, 2, 1, 3, 4, 1, 1, 2, 1, 1, 2, 0, 1, 1, 4, 4, 4, 1, 2, 0, 0, 4, 3, 3, 4, 3, 2, 1, 0, 3, 3, 1, 2, 1, 3, 2, 1, 4, 0, 4, 1, 4, 3, 1, 3, 2, 1, 4, 0, 1, 1, 2, 0, 0, 2, 4, 1, 4, 2, 0, 2, 1, 3, 4, 0, 3, 0, 2, 1, 2, 3, 0, 2, 2, 4, 1, 1, 2, 2, 2, 1, 3, 4, 1, 2, 3, 4, 2, 4, 3, 3, 4, 4, 3, 2, 2, 4, 4, 1, 3, 4, 4, 1, 3, 2, 4, 1, 1, 2, 1, 2, 3, 3, 1, 0, 3, 4, 2, 1, 4, 2, 1, 4, 1, 2, 0, 4, 3, 2, 2, 3, 0, 4, 0, 2, 1, 1, 2, 4, 2, 0, 0, 1, 3, 3, 0, 4, 0, 3, 2, 1, 0, 3, 2, 1, 4, 0, 1, 3, 0, 1, 0, 1, 2, 1, 0, 2, 3, 0, 0, 2, 0, 2, 1, 0, 1, 0, 3, 3, 4, 1, 2, 4, 1, 2, 3, 3, 1, 3, 0, 4, 2, 2, 4, 4, 3, 3, 3, 3, 4, 4, 1, 2, 3, 0, 3, 3, 0, 1, 2, 0, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 4, 4, 4, 0, 1, 4, 1, 3, 0, 2, 1, 2, 3, 3, 0, 0, 2, 0, 3, 4, 4, 1, 3, 1, 1, 4, 1, 4, 1, 2, 3, 1, 0, 0, 1, 1, 1, 2, 3, 2, 3, 2, 4, 4, 2, 0, 4, 4, 0, 0, 4, 4, 0, 4, 2, 4, 3, 3, 1, 3, 2, 2, 0, 0, 0, 1, 4, 3, 4, 2, 2, 0, 3, 4, 4, 2, 1, 3, 1, 4, 1, 0, 1, 1, 2, 4, 1, 0, 0, 2, 4, 0, 3, 2, 3, 0, 1, 0, 0, 2, 4, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 3, 1, 3, 3, 3, 4, 0, 1, 4, 0, 0, 1, 0, 2, 1, 1, 4, 3, 0, 0, 2, 3, 3, 1, 4, 3, 1, 2]
pubkeycol811 = [0, 0, 3, 3, 4, 4, 1, 4, 1, 1, 4, 4, 4, 4, 4, 1, 0, 2, 2, 0, 3, 2, 1, 3, 4, 0, 0, 4, 4, 1, 4, 4, 3, 3, 2, 4, 4, 2, 3, 3, 3, 2, 0, 4, 1, 4, 1, 4, 0, 1, 1, 4, 3, 3, 0, 4, 3, 0, 0, 3, 4, 0, 4, 2, 3, 3, 1, 2, 2, 0, 0, 4, 2, 1, 3, 1, 0, 1, 3, 0, 3, 0, 4, 1, 3, 2, 0, 1, 4, 3, 3, 2, 1, 0, 0, 3, 0, 2, 2, 1, 0, 4, 2, 0, 4, 1, 4, 3, 4, 2, 0, 4, 1, 1, 3, 0, 4, 2, 4, 1, 1, 1, 2, 0, 3, 3, 3, 1, 3, 3, 3, 1, 4, 4, 2, 1, 2, 1, 0, 1, 0, 2, 4, 3, 2, 4, 3, 2, 2, 1, 0, 2, 3, 4, 0, 4, 4, 2, 3, 1, 4, 1, 4, 1, 2, 1, 3, 2, 1, 0, 4, 2, 3, 3, 2, 3, 3, 0, 2, 4, 0, 1, 3, 3, 0, 1, 4, 0, 4, 0, 3, 3, 4, 0, 1, 4, 0, 4, 3, 0, 0, 0, 2, 0, 3, 4, 2, 2, 4, 1, 1, 4, 3, 3, 4, 0, 4, 0, 0, 2, 1, 2, 1, 1, 3, 2, 2, 4, 3, 3, 2, 0, 3, 0, 4, 3, 1, 0, 2, 2, 0, 1, 1, 2, 1, 3, 3, 0, 3, 0, 3, 4, 4, 1, 0, 3, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 4, 4, 3, 3, 2, 4, 3, 2, 3, 1, 2, 2, 1, 2, 4, 1, 2, 2, 4, 4, 2, 1, 2, 1, 0, 2, 4, 3, 1, 4, 4, 1, 4, 4, 3, 1, 0, 2, 2, 3, 1, 0, 2, 4, 4, 0, 0, 4, 4, 1, 1, 0, 2, 2, 2, 3, 0, 1, 0, 2, 0, 4, 4, 1, 2, 1, 3, 0, 2, 0, 1, 2, 4, 4, 4, 4, 0, 3, 0, 1, 4, 0, 3, 4, 3, 4, 0, 2, 3, 0, 3, 4, 2, 0, 3, 0, 4, 2, 1, 4, 1, 3, 3, 2, 1, 0, 1, 3, 0, 1, 4, 4, 3, 3, 1, 0, 3, 1, 4, 2, 3, 0, 4, 2, 4, 0, 1, 4, 4, 4, 2, 4, 3, 3, 4, 2, 1, 4, 4, 0, 2, 2, 4, 0, 0, 2, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 4, 0, 0, 1, 0, 3, 1, 1, 0, 3, 4, 1, 0, 4, 4, 4, 4, 2, 1, 4, 2, 3, 3, 2, 2, 3, 3, 2, 3, 1, 0, 0, 4, 0, 0, 3, 4, 0, 2, 4, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 4, 3, 1, 4, 1, 2, 3, 4, 2, 3, 4, 1, 2, 1, 2, 3, 0, 4, 3, 2, 1, 4, 1, 3, 0, 4, 2, 2, 0, 3, 2]
pubkeycol812 = [3, 0, 1, 3, 4, 2, 3, 0, 0, 3, 4, 4, 3, 2, 3, 2, 2, 2, 2, 1, 4, 3, 4, 1, 1, 0, 3, 0, 1, 0, 0, 0, 3, 2, 4, 1, 4, 4, 4, 2, 1, 3, 3, 0, 4, 3, 0, 4, 2, 2, 3, 0, 0, 0, 0, 4, 1, 0, 4, 4, 4, 3, 4, 4, 2, 2, 2, 1, 4, 4, 4, 2, 4, 2, 2, 1, 2, 4, 2, 4, 3, 1, 4, 3, 0, 3, 2, 2, 1, 4, 4, 4, 4, 1, 0, 3, 3, 4, 1, 2, 0, 4, 2, 0, 2, 4, 3, 2, 3, 2, 0, 0, 2, 1, 4, 0, 3, 1, 4, 1, 2, 0, 3, 0, 0, 1, 4, 4, 4, 0, 4, 4, 2, 0, 4, 0, 3, 4, 1, 3, 1, 2, 2, 3, 4, 3, 3, 4, 1, 2, 3, 0, 1, 1, 0, 4, 0, 4, 2, 2, 0, 3, 2, 3, 3, 4, 1, 0, 2, 4, 0, 3, 0, 1, 1, 2, 4, 0, 0, 3, 0, 0, 0, 0, 3, 2, 2, 3, 1, 2, 1, 3, 1, 2, 4, 3, 4, 2, 0, 3, 4, 3, 3, 0, 1, 4, 2, 4, 4, 4, 2, 4, 3, 1, 4, 1, 0, 1, 2, 3, 4, 3, 1, 4, 4, 2, 4, 2, 2, 4, 3, 1, 0, 3, 3, 2, 4, 2, 3, 4, 3, 3, 2, 0, 3, 1, 1, 1, 3, 3, 4, 4, 1, 2, 0, 0, 4, 1, 0, 2, 3, 3, 2, 2, 3, 0, 1, 3, 0, 2, 3, 1, 0, 3, 0, 2, 2, 4, 4, 0, 1, 3, 4, 4, 4, 4, 3, 2, 3, 2, 1, 0, 3, 2, 0, 0, 1, 3, 4, 0, 3, 3, 0, 3, 3, 4, 2, 0, 1, 1, 1, 3, 0, 2, 0, 2, 3, 3, 1, 3, 4, 0, 3, 4, 2, 0, 1, 4, 0, 4, 1, 2, 0, 4, 0, 4, 2, 3, 0, 3, 0, 0, 3, 3, 3, 2, 1, 1, 0, 1, 4, 1, 1, 2, 3, 3, 3, 3, 0, 0, 0, 2, 4, 1, 4, 1, 0, 1, 4, 1, 3, 0, 4, 4, 0, 1, 1, 3, 1, 1, 4, 1, 1, 2, 0, 2, 2, 4, 1, 0, 2, 0, 1, 1, 3, 1, 1, 1, 3, 1, 0, 4, 3, 1, 1, 4, 1, 1, 2, 2, 3, 2, 4, 3, 3, 3, 2, 1, 2, 4, 2, 3, 1, 4, 3, 0, 0, 4, 1, 4, 0, 3, 2, 1, 0, 2, 1, 0, 0, 1, 4, 4, 3, 1, 2, 0, 4, 2, 2, 1, 0, 4, 3, 4, 3, 1, 4, 1, 2, 2, 0, 2, 4, 1, 1, 0, 1, 0, 2, 2, 1, 4, 4, 1, 3, 1, 0, 1, 4, 3, 0, 3, 2, 0, 0, 2, 0, 3, 0, 1, 4, 3, 2, 0, 2, 1, 3, 1, 0, 3, 2, 1, 1, 2, 2]
pubkeycol813 = [2, 3, 1, 3, 4, 3, 2, 2, 0, 0, 0, 0, 3, 1, 4, 4, 3, 2, 2, 1, 1, 2, 3, 3, 2, 1, 2, 1, 3, 1, 2, 2, 0, 0, 3, 3, 0, 2, 0, 0, 0, 2, 2, 3, 4, 4, 2, 2, 1, 2, 4, 1, 2, 2, 0, 4, 1, 0, 4, 1, 4, 1, 2, 4, 3, 0, 2, 2, 3, 0, 3, 4, 3, 1, 3, 4, 3, 2, 1, 2, 0, 3, 3, 4, 1, 3, 0, 3, 3, 0, 0, 2, 4, 4, 1, 3, 4, 2, 2, 3, 0, 1, 2, 0, 1, 3, 4, 4, 1, 1, 0, 0, 2, 2, 3, 2, 2, 0, 3, 1, 1, 2, 3, 2, 0, 4, 1, 0, 3, 2, 3, 0, 3, 1, 1, 2, 2, 1, 4, 0, 2, 2, 2, 0, 2, 1, 4, 2, 2, 0, 1, 4, 4, 0, 3, 1, 1, 4, 0, 2, 0, 3, 0, 4, 4, 1, 4, 4, 1, 4, 4, 1, 0, 1, 3, 4, 4, 4, 2, 4, 2, 4, 1, 1, 1, 0, 1, 1, 2, 4, 3, 1, 4, 4, 2, 0, 2, 3, 3, 4, 3, 4, 0, 4, 0, 3, 3, 1, 4, 3, 3, 2, 0, 1, 3, 1, 4, 0, 2, 4, 1, 1, 0, 4, 1, 0, 2, 2, 1, 1, 1, 1, 1, 4, 1, 1, 0, 3, 4, 2, 4, 2, 0, 1, 1, 2, 3, 2, 2, 2, 3, 4, 0, 1, 3, 3, 3, 1, 3, 0, 4, 1, 1, 4, 3, 3, 3, 1, 1, 0, 4, 4, 3, 4, 0, 2, 1, 2, 1, 1, 3, 0, 0, 3, 1, 0, 0, 4, 2, 2, 1, 4, 3, 4, 4, 1, 3, 4, 0, 0, 1, 0, 4, 4, 3, 2, 0, 0, 2, 0, 0, 2, 0, 4, 1, 2, 3, 1, 3, 3, 4, 2, 2, 4, 3, 2, 2, 1, 2, 1, 0, 2, 4, 2, 1, 0, 3, 1, 0, 2, 2, 0, 2, 3, 3, 2, 4, 1, 2, 1, 1, 1, 2, 3, 0, 1, 0, 3, 2, 4, 0, 3, 1, 4, 2, 4, 1, 2, 4, 0, 1, 2, 4, 2, 4, 0, 2, 0, 2, 0, 4, 2, 3, 4, 1, 2, 3, 4, 2, 3, 2, 3, 4, 4, 1, 2, 3, 3, 4, 4, 3, 3, 3, 2, 3, 2, 3, 1, 3, 4, 1, 3, 4, 3, 0, 3, 2, 0, 4, 3, 1, 1, 0, 4, 0, 2, 0, 0, 2, 3, 0, 1, 1, 3, 2, 4, 1, 1, 3, 1, 1, 2, 1, 1, 0, 2, 4, 1, 3, 1, 2, 2, 0, 1, 2, 3, 0, 3, 4, 4, 2, 3, 4, 4, 0, 0, 1, 4, 2, 2, 0, 2, 4, 1, 3, 4, 1, 3, 1, 4, 1, 1, 3, 0, 3, 0, 1, 4, 0, 4, 4, 4, 1, 0, 0, 1, 0, 1, 3, 0, 2, 3, 0, 4, 2]
pubkeycol814 = [3, 2, 1, 4, 1, 0, 3, 1, 4, 2, 1, 0, 3, 3, 2, 3, 0, 2, 2, 3, 4, 0, 1, 0, 1, 4, 0, 3, 4, 3, 3, 0, 3, 4, 3, 4, 4, 0, 2, 2, 4, 2, 0, 3, 4, 4, 1, 0, 2, 4, 3, 4, 2, 0, 0, 4, 3, 0, 1, 0, 4, 0, 4, 4, 2, 0, 2, 0, 4, 0, 4, 4, 2, 4, 4, 4, 3, 2, 1, 0, 1, 3, 2, 2, 0, 2, 4, 1, 4, 0, 4, 4, 4, 4, 1, 3, 4, 1, 2, 0, 4, 4, 3, 2, 4, 3, 2, 2, 4, 2, 4, 3, 1, 0, 2, 1, 1, 1, 0, 3, 4, 3, 0, 1, 4, 4, 4, 2, 3, 4, 4, 3, 3, 4, 2, 0, 3, 4, 3, 2, 0, 2, 0, 3, 4, 3, 2, 3, 0, 1, 3, 4, 0, 2, 2, 0, 1, 1, 3, 1, 2, 4, 4, 2, 3, 3, 1, 1, 3, 0, 2, 0, 4, 3, 2, 3, 2, 4, 2, 4, 3, 4, 2, 3, 3, 4, 0, 4, 3, 3, 0, 3, 4, 4, 0, 1, 1, 3, 3, 4, 3, 1, 0, 2, 0, 3, 4, 1, 3, 1, 4, 3, 2, 1, 3, 1, 4, 3, 1, 0, 2, 1, 2, 0, 0, 3, 4, 3, 1, 3, 3, 0, 4, 1, 2, 3, 0, 2, 4, 1, 1, 0, 4, 1, 3, 0, 0, 3, 0, 3, 0, 1, 1, 0, 3, 1, 0, 0, 2, 3, 2, 0, 3, 4, 4, 0, 2, 3, 1, 1, 3, 0, 2, 3, 3, 2, 4, 0, 2, 2, 4, 4, 3, 1, 4, 3, 0, 3, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 4, 3, 3, 0, 4, 0, 1, 3, 2, 3, 1, 1, 3, 1, 2, 3, 2, 4, 4, 3, 1, 2, 3, 0, 4, 0, 3, 1, 2, 4, 2, 4, 1, 4, 3, 4, 4, 3, 2, 2, 3, 0, 0, 0, 2, 0, 2, 3, 3, 0, 1, 1, 2, 1, 3, 2, 1, 2, 0, 3, 4, 3, 4, 0, 1, 1, 0, 0, 1, 3, 3, 2, 4, 0, 4, 0, 3, 1, 3, 2, 4, 1, 2, 2, 0, 1, 2, 1, 0, 4, 4, 1, 2, 0, 4, 2, 3, 2, 3, 2, 0, 3, 4, 0, 0, 2, 4, 4, 1, 0, 0, 1, 2, 3, 4, 0, 1, 1, 4, 2, 0, 4, 2, 3, 1, 0, 2, 1, 3, 0, 1, 2, 0, 3, 2, 1, 3, 3, 2, 1, 3, 4, 2, 1, 3, 2, 0, 3, 3, 2, 0, 3, 4, 0, 4, 1, 1, 2, 0, 4, 2, 2, 2, 0, 2, 4, 0, 1, 1, 0, 1, 1, 3, 3, 1, 1, 4, 2, 0, 4, 2, 2, 3, 1, 4, 2, 3, 0, 3, 0, 2, 2, 2, 0, 3, 2, 2, 3, 2, 2, 4, 0, 2, 2, 2, 4, 1]
pubkeycol815 = [1, 1, 3, 3, 3, 1, 4, 1, 4, 1, 3, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 3, 4, 3, 0, 3, 2, 1, 1, 2, 0, 0, 4, 3, 3, 3, 0, 4, 0, 0, 4, 2, 0, 1, 4, 3, 4, 3, 2, 0, 3, 1, 4, 2, 4, 4, 4, 3, 3, 4, 4, 4, 1, 3, 0, 4, 0, 0, 4, 3, 4, 0, 2, 3, 1, 1, 3, 3, 4, 1, 0, 2, 1, 4, 3, 2, 4, 0, 3, 3, 4, 1, 1, 3, 0, 1, 0, 0, 3, 1, 4, 1, 1, 3, 0, 2, 3, 1, 2, 1, 1, 0, 4, 1, 3, 3, 3, 1, 4, 1, 1, 4, 3, 4, 3, 4, 0, 3, 3, 2, 4, 3, 0, 2, 0, 3, 2, 3, 4, 0, 1, 1, 3, 0, 4, 2, 0, 1, 0, 3, 2, 4, 4, 0, 0, 2, 1, 1, 3, 2, 0, 0, 2, 4, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 3, 0, 2, 0, 2, 4, 3, 0, 0, 4, 2, 2, 3, 4, 3, 0, 0, 2, 3, 4, 3, 4, 4, 3, 4, 1, 1, 1, 3, 0, 1, 2, 2, 1, 3, 3, 2, 1, 2, 4, 1, 0, 3, 4, 4, 0, 2, 2, 4, 1, 2, 3, 0, 2, 2, 2, 3, 2, 2, 3, 1, 3, 0, 0, 1, 3, 3, 1, 0, 1, 4, 4, 1, 3, 1, 1, 1, 0, 4, 0, 3, 3, 1, 3, 2, 3, 0, 3, 0, 3, 1, 2, 3, 4, 3, 1, 3, 1, 0, 3, 2, 3, 4, 4, 3, 1, 0, 0, 0, 3, 2, 3, 3, 2, 0, 3, 1, 0, 1, 0, 4, 3, 0, 3, 0, 2, 0, 4, 1, 0, 3, 0, 3, 2, 4, 1, 0, 0, 0, 3, 0, 3, 4, 2, 2, 0, 4, 4, 4, 2, 4, 1, 2, 3, 1, 0, 2, 1, 3, 1, 1, 1, 3, 4, 0, 2, 4, 3, 1, 3, 2, 4, 3, 0, 2, 0, 1, 4, 3, 1, 3, 0, 1, 4, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 4, 2, 0, 3, 4, 1, 2, 1, 1, 1, 2, 4, 1, 2, 4, 0, 2, 4, 4, 1, 2, 2, 2, 0, 2, 1, 3, 3, 1, 4, 4, 3, 4, 2, 1, 0, 1, 4, 3, 4, 4, 1, 1, 1, 1, 0, 0, 3, 4, 4, 3, 3, 1, 2, 4, 4, 3, 3, 3, 4, 3, 3, 4, 1, 3, 3, 0, 1, 4, 2, 2, 4, 0, 4, 2, 3, 4, 4, 3, 2, 1, 1, 4, 3, 2, 2, 2, 2, 3, 1, 4, 2, 3, 1, 1, 3, 1, 2, 1, 3, 1, 0, 3, 3, 0, 4, 3, 4, 1, 0, 3, 2, 0, 2, 2, 4, 3, 2, 1, 1, 1, 1, 2, 4, 1, 1, 3, 2, 3, 4, 4, 4, 2, 2]
pubkeycol816 = [1, 2, 3, 3, 0, 4, 4, 4, 3, 2, 1, 1, 3, 4, 2, 4, 4, 3, 2, 4, 3, 3, 1, 3, 0, 2, 4, 0, 4, 4, 1, 2, 1, 2, 1, 4, 4, 3, 1, 2, 3, 4, 2, 0, 0, 1, 1, 3, 2, 4, 3, 2, 1, 4, 2, 0, 4, 1, 3, 3, 3, 0, 4, 0, 2, 3, 3, 1, 3, 2, 4, 2, 4, 1, 4, 2, 3, 2, 1, 0, 4, 4, 0, 3, 1, 2, 0, 0, 4, 2, 1, 1, 1, 2, 1, 4, 1, 0, 0, 0, 1, 4, 0, 0, 2, 3, 2, 4, 0, 3, 1, 2, 1, 2, 1, 0, 2, 0, 4, 1, 0, 2, 0, 2, 2, 4, 1, 4, 1, 1, 2, 1, 3, 2, 1, 4, 2, 3, 1, 3, 1, 4, 1, 3, 1, 4, 0, 1, 4, 1, 1, 0, 4, 2, 4, 0, 1, 2, 3, 2, 1, 4, 0, 2, 3, 3, 2, 1, 0, 1, 0, 3, 4, 4, 0, 1, 3, 2, 3, 1, 3, 4, 1, 2, 4, 3, 0, 2, 0, 2, 4, 0, 4, 2, 0, 1, 3, 1, 0, 0, 0, 0, 0, 4, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 3, 2, 1, 4, 2, 1, 1, 2, 4, 4, 0, 1, 1, 3, 0, 4, 0, 3, 4, 4, 1, 1, 3, 4, 4, 2, 4, 1, 2, 2, 3, 1, 3, 4, 3, 3, 4, 1, 1, 1, 1, 1, 0, 3, 2, 4, 4, 1, 4, 1, 3, 3, 2, 4, 4, 2, 4, 3, 1, 2, 3, 3, 4, 2, 1, 3, 1, 1, 3, 4, 0, 0, 2, 4, 0, 2, 2, 0, 4, 2, 3, 1, 1, 4, 1, 3, 4, 4, 3, 1, 4, 2, 1, 3, 4, 4, 2, 2, 4, 1, 3, 1, 0, 2, 1, 3, 2, 0, 2, 3, 0, 4, 1, 0, 0, 2, 1, 1, 0, 2, 1, 4, 4, 3, 3, 4, 2, 1, 4, 4, 2, 3, 2, 0, 0, 2, 1, 1, 0, 2, 1, 4, 0, 3, 2, 0, 2, 0, 2, 4, 3, 2, 4, 3, 3, 0, 4, 3, 2, 3, 1, 3, 2, 4, 3, 0, 0, 4, 0, 2, 3, 2, 2, 2, 1, 1, 1, 4, 1, 2, 4, 4, 0, 1, 3, 4, 2, 2, 1, 1, 2, 4, 3, 3, 4, 3, 3, 3, 0, 0, 4, 0, 4, 3, 0, 3, 4, 2, 0, 0, 4, 4, 4, 4, 4, 2, 3, 3, 0, 3, 3, 1, 2, 4, 4, 2, 4, 4, 2, 0, 2, 3, 4, 1, 1, 0, 1, 4, 1, 2, 3, 1, 4, 4, 0, 1, 0, 0, 2, 1, 3, 2, 0, 1, 1, 0, 4, 2, 3, 0, 4, 1, 3, 1, 2, 3, 2, 3, 1, 4, 4, 3, 0, 0, 3, 1, 0, 0, 2, 0, 0, 2, 0, 3, 2, 4, 4, 3, 3, 0, 2]
pubkeycol817 = [1, 3, 4, 2, 0, 1, 2, 3, 4, 1, 4, 1, 2, 2, 3, 1, 0, 3, 3, 1, 2, 4, 2, 3, 2, 3, 4, 3, 2, 0, 1, 2, 2, 0, 4, 1, 4, 3, 2, 2, 4, 0, 2, 1, 0, 0, 4, 2, 2, 3, 4, 4, 2, 2, 3, 2, 1, 1, 3, 3, 3, 4, 2, 2, 0, 3, 3, 3, 4, 0, 0, 4, 1, 1, 4, 2, 3, 3, 0, 0, 2, 2, 1, 0, 4, 3, 1, 3, 2, 0, 4, 2, 0, 1, 3, 2, 1, 0, 1, 4, 2, 4, 3, 4, 1, 2, 2, 0, 3, 3, 0, 1, 4, 2, 3, 0, 3, 1, 4, 0, 3, 0, 2, 3, 4, 4, 0, 1, 0, 2, 4, 4, 3, 3, 4, 2, 3, 4, 4, 0, 0, 3, 4, 4, 2, 1, 3, 3, 4, 0, 4, 0, 1, 0, 0, 3, 0, 2, 2, 2, 2, 4, 4, 0, 2, 3, 3, 2, 1, 3, 1, 4, 2, 4, 4, 4, 1, 1, 2, 3, 1, 0, 0, 3, 4, 0, 1, 1, 2, 3, 3, 1, 1, 1, 2, 4, 4, 3, 1, 3, 1, 3, 3, 3, 0, 2, 1, 2, 1, 2, 2, 1, 1, 3, 0, 2, 4, 2, 1, 4, 3, 1, 2, 4, 2, 3, 3, 3, 3, 1, 2, 4, 1, 0, 0, 4, 2, 1, 3, 0, 0, 2, 3, 2, 4, 2, 3, 4, 4, 3, 2, 3, 1, 3, 4, 4, 4, 0, 4, 1, 0, 4, 1, 2, 1, 2, 0, 2, 0, 0, 0, 3, 1, 3, 0, 4, 3, 1, 0, 0, 0, 1, 2, 1, 0, 4, 3, 0, 0, 3, 1, 1, 2, 3, 1, 0, 0, 0, 1, 4, 0, 2, 0, 4, 1, 1, 2, 0, 4, 3, 0, 3, 0, 2, 1, 3, 4, 3, 3, 2, 4, 3, 0, 4, 2, 4, 4, 2, 3, 0, 1, 2, 1, 1, 1, 0, 0, 0, 3, 2, 4, 4, 0, 2, 0, 4, 1, 3, 3, 2, 0, 3, 2, 3, 4, 0, 0, 4, 3, 3, 0, 3, 0, 0, 2, 4, 2, 4, 2, 2, 0, 3, 3, 2, 3, 4, 3, 1, 3, 2, 4, 0, 4, 1, 4, 4, 0, 0, 2, 1, 1, 0, 1, 1, 3, 4, 2, 4, 1, 4, 4, 2, 4, 4, 0, 3, 2, 0, 0, 3, 2, 3, 0, 4, 2, 2, 3, 3, 2, 0, 2, 3, 1, 0, 1, 4, 4, 3, 4, 1, 4, 3, 3, 4, 2, 3, 4, 4, 4, 0, 1, 3, 4, 1, 2, 3, 2, 3, 2, 0, 4, 0, 1, 4, 0, 0, 1, 0, 4, 2, 4, 2, 2, 2, 4, 4, 4, 2, 1, 1, 2, 4, 0, 3, 3, 0, 2, 4, 2, 1, 4, 2, 4, 2, 2, 4, 3, 1, 3, 3, 3, 1, 2, 2, 1, 3, 4, 1, 3, 4, 4, 3, 0, 2, 3]
pubkeycol818 = [1, 3, 0, 2, 0, 2, 1, 2, 0, 2, 3, 2, 4, 2, 4, 2, 4, 0, 3, 3, 0, 0, 2, 4, 4, 4, 1, 1, 0, 1, 3, 3, 0, 3, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 3, 1, 2, 0, 4, 0, 4, 0, 2, 0, 4, 3, 0, 2, 2, 1, 2, 0, 2, 0, 3, 1, 0, 1, 1, 3, 0, 4, 1, 2, 4, 3, 2, 0, 1, 2, 3, 2, 2, 3, 4, 2, 4, 4, 4, 4, 3, 4, 3, 3, 3, 0, 3, 0, 0, 3, 1, 1, 1, 3, 1, 2, 4, 1, 1, 4, 4, 2, 0, 1, 2, 2, 3, 4, 0, 1, 4, 3, 2, 4, 1, 2, 3, 2, 4, 2, 1, 2, 3, 2, 1, 0, 2, 2, 1, 0, 1, 1, 3, 0, 2, 4, 0, 1, 0, 3, 4, 2, 2, 2, 0, 0, 1, 1, 1, 2, 4, 1, 0, 4, 2, 0, 3, 1, 0, 1, 4, 2, 1, 3, 1, 1, 4, 3, 4, 3, 1, 1, 0, 3, 0, 2, 3, 1, 4, 3, 3, 1, 2, 3, 3, 3, 3, 2, 0, 0, 4, 2, 3, 4, 4, 1, 4, 3, 3, 1, 1, 3, 2, 0, 3, 3, 1, 1, 4, 1, 1, 4, 2, 4, 2, 2, 2, 2, 1, 0, 0, 4, 0, 4, 1, 4, 1, 0, 2, 1, 3, 2, 0, 1, 1, 4, 0, 0, 4, 3, 1, 0, 2, 2, 2, 4, 3, 2, 3, 3, 1, 3, 4, 3, 0, 0, 3, 3, 0, 0, 0, 3, 4, 3, 2, 0, 4, 4, 1, 4, 4, 0, 1, 2, 0, 1, 4, 4, 2, 1, 1, 1, 0, 0, 1, 2, 0, 4, 4, 0, 0, 4, 3, 4, 2, 3, 2, 0, 1, 4, 4, 3, 3, 2, 1, 3, 1, 1, 2, 1, 2, 2, 3, 0, 3, 3, 1, 2, 3, 1, 4, 1, 2, 0, 2, 2, 1, 0, 2, 4, 3, 3, 2, 4, 2, 0, 4, 1, 4, 3, 3, 4, 4, 2, 0, 3, 3, 4, 0, 0, 1, 3, 3, 4, 1, 2, 4, 3, 0, 0, 3, 3, 3, 0, 4, 3, 3, 2, 4, 0, 3, 0, 3, 1, 2, 4, 2, 0, 1, 4, 3, 0, 0, 0, 1, 3, 0, 1, 0, 2, 4, 0, 0, 3, 1, 0, 3, 1, 0, 2, 0, 3, 4, 3, 4, 4, 0, 2, 1, 2, 0, 1, 2, 4, 2, 2, 1, 2, 4, 4, 0, 1, 0, 4, 1, 4, 1, 0, 3, 0, 2, 3, 0, 4, 2, 1, 1, 0, 4, 2, 0, 4, 4, 1, 2, 2, 1, 0, 4, 3, 4, 1, 2, 0, 1, 0, 0, 4, 3, 3, 1, 1, 3, 4, 1, 4, 2, 0, 1, 4, 2, 4, 0, 1, 1, 1, 1, 4, 2, 4, 2, 2, 2, 0, 0, 2, 4, 3, 3, 4, 0, 2, 1, 1, 4]
pubkeycol819 = [0, 0, 1, 0, 4, 0, 0, 3, 3, 1, 4, 1, 3, 0, 2, 1, 4, 0, 2, 3, 2, 3, 4, 1, 4, 0, 3, 1, 1, 0, 3, 0, 3, 3, 4, 2, 4, 0, 0, 4, 0, 3, 2, 0, 1, 3, 0, 2, 3, 3, 3, 1, 4, 3, 2, 0, 2, 2, 3, 1, 1, 1, 1, 3, 0, 2, 4, 4, 2, 0, 2, 4, 3, 2, 4, 0, 1, 3, 2, 2, 2, 1, 0, 2, 2, 4, 3, 4, 1, 4, 0, 2, 2, 1, 4, 2, 2, 2, 2, 2, 0, 4, 2, 2, 3, 0, 2, 0, 0, 3, 0, 3, 0, 1, 2, 2, 3, 2, 3, 3, 4, 0, 0, 2, 3, 2, 2, 0, 1, 2, 0, 3, 3, 3, 1, 3, 4, 4, 4, 1, 3, 0, 3, 2, 3, 0, 1, 2, 4, 3, 1, 2, 2, 4, 3, 4, 3, 3, 2, 3, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 3, 3, 4, 2, 3, 4, 4, 3, 3, 4, 1, 0, 4, 1, 1, 3, 3, 4, 3, 4, 4, 1, 3, 3, 3, 3, 1, 2, 0, 0, 0, 3, 4, 0, 1, 1, 2, 0, 1, 4, 0, 4, 1, 0, 4, 4, 0, 2, 0, 2, 1, 0, 4, 4, 1, 3, 2, 0, 2, 2, 3, 0, 1, 4, 4, 2, 0, 2, 1, 4, 4, 4, 2, 3, 3, 4, 1, 0, 3, 3, 3, 1, 4, 3, 4, 4, 1, 4, 1, 4, 1, 0, 2, 2, 1, 1, 4, 3, 4, 3, 0, 4, 0, 2, 2, 2, 0, 0, 3, 3, 0, 4, 2, 3, 2, 0, 1, 3, 1, 1, 1, 2, 4, 2, 4, 4, 2, 0, 2, 0, 3, 2, 2, 1, 3, 4, 4, 2, 4, 3, 2, 4, 3, 0, 4, 2, 0, 2, 0, 4, 1, 2, 4, 3, 1, 4, 3, 0, 0, 4, 3, 4, 2, 3, 4, 3, 4, 4, 3, 2, 1, 0, 2, 4, 4, 4, 0, 3, 2, 3, 2, 3, 0, 0, 3, 2, 4, 1, 3, 4, 1, 0, 2, 4, 4, 4, 1, 1, 0, 2, 0, 2, 1, 1, 0, 3, 1, 4, 4, 3, 2, 0, 0, 3, 4, 1, 4, 4, 0, 2, 3, 4, 4, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 4, 3, 3, 2, 2, 2, 4, 3, 0, 1, 4, 2, 1, 0, 1, 3, 4, 4, 4, 1, 4, 3, 4, 4, 1, 0, 1, 0, 2, 3, 4, 0, 3, 4, 0, 0, 4, 1, 2, 2, 3, 0, 4, 0, 2, 1, 0, 4, 1, 0, 1, 2, 0, 4, 3, 2, 2, 1, 1, 4, 4, 3, 4, 3, 4, 4, 2, 0, 4, 2, 4, 4, 1, 4, 1, 1, 1, 3, 4, 2, 3, 1, 4, 3, 3, 0, 0, 2, 3, 2, 0, 3, 1, 4, 1, 0, 1, 0, 4, 0, 4, 1]
pubkeycol820 = [1, 1, 2, 1, 4, 4, 1, 4, 4, 1, 4, 4, 2, 4, 1, 3, 3, 3, 3, 1, 0, 3, 3, 1, 4, 4, 1, 0, 2, 2, 1, 3, 1, 2, 0, 4, 1, 0, 2, 4, 0, 1, 4, 1, 4, 2, 2, 2, 1, 1, 2, 3, 0, 2, 3, 3, 2, 0, 4, 0, 4, 1, 4, 2, 1, 4, 3, 3, 0, 2, 1, 1, 1, 1, 4, 4, 1, 3, 0, 1, 0, 0, 4, 1, 4, 1, 0, 3, 3, 0, 4, 2, 1, 3, 0, 1, 2, 2, 4, 2, 1, 1, 1, 2, 2, 3, 4, 2, 4, 1, 0, 4, 4, 1, 0, 0, 3, 2, 0, 1, 2, 1, 0, 1, 1, 3, 1, 2, 1, 1, 1, 4, 0, 4, 4, 4, 4, 2, 0, 0, 0, 1, 4, 3, 3, 4, 4, 4, 3, 0, 4, 2, 0, 2, 1, 4, 0, 2, 2, 4, 4, 4, 1, 0, 4, 1, 1, 3, 0, 0, 2, 2, 4, 0, 4, 3, 4, 3, 1, 4, 2, 1, 3, 0, 2, 0, 2, 2, 3, 4, 4, 0, 3, 2, 4, 2, 3, 3, 2, 1, 1, 2, 4, 2, 4, 3, 3, 2, 1, 2, 0, 2, 3, 1, 0, 0, 1, 1, 1, 4, 4, 1, 4, 3, 3, 2, 0, 2, 4, 4, 1, 2, 4, 1, 0, 3, 1, 4, 2, 4, 0, 0, 3, 3, 0, 1, 1, 2, 3, 3, 2, 2, 1, 4, 0, 3, 1, 3, 0, 1, 2, 3, 3, 1, 2, 2, 4, 1, 2, 2, 3, 4, 1, 1, 0, 0, 0, 0, 1, 2, 4, 3, 1, 4, 4, 1, 4, 3, 2, 2, 3, 2, 0, 2, 1, 0, 0, 3, 1, 1, 1, 3, 3, 4, 0, 3, 3, 1, 2, 4, 3, 1, 3, 2, 2, 1, 2, 0, 1, 4, 2, 2, 4, 4, 2, 0, 0, 1, 1, 3, 2, 4, 2, 1, 0, 3, 0, 3, 4, 0, 1, 0, 2, 3, 0, 0, 2, 1, 3, 3, 2, 2, 0, 0, 2, 0, 4, 1, 2, 0, 2, 4, 0, 4, 0, 0, 0, 1, 4, 4, 1, 2, 3, 3, 1, 4, 1, 1, 3, 2, 2, 3, 2, 1, 3, 2, 2, 2, 1, 0, 4, 0, 2, 3, 1, 4, 4, 4, 0, 4, 1, 1, 3, 0, 1, 1, 1, 2, 4, 2, 1, 4, 0, 4, 1, 0, 3, 2, 1, 4, 2, 4, 2, 2, 4, 2, 2, 3, 1, 4, 2, 1, 0, 2, 2, 3, 2, 1, 1, 2, 0, 3, 0, 1, 2, 4, 2, 0, 1, 1, 4, 4, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 3, 0, 4, 4, 1, 1, 2, 3, 3, 0, 2, 0, 1, 3, 0, 1, 1, 3, 1, 1, 1, 2, 0, 3, 4, 4, 2, 4, 2, 1, 0, 1, 2, 2, 3, 2, 4, 0, 2, 3, 3, 2, 0]
pubkeycol821 = [0, 1, 2, 1, 0, 0, 0, 0, 0, 3, 0, 0, 2, 1, 3, 0, 3, 2, 4, 2, 3, 2, 4, 0, 0, 4, 3, 2, 2, 3, 4, 0, 1, 3, 4, 4, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 3, 4, 1, 4, 1, 4, 4, 0, 4, 4, 4, 4, 2, 3, 3, 2, 2, 4, 2, 1, 3, 4, 3, 3, 3, 3, 3, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 4, 1, 3, 3, 3, 2, 3, 1, 3, 0, 2, 0, 4, 3, 0, 3, 3, 1, 0, 3, 4, 2, 2, 3, 0, 4, 4, 4, 1, 2, 2, 4, 0, 4, 0, 3, 1, 4, 3, 1, 1, 0, 2, 4, 2, 2, 0, 1, 0, 0, 4, 0, 0, 1, 3, 1, 0, 2, 3, 0, 1, 3, 4, 4, 4, 4, 2, 1, 2, 2, 0, 1, 3, 4, 3, 1, 0, 2, 0, 2, 4, 2, 3, 0, 1, 2, 2, 1, 4, 4, 3, 3, 2, 2, 0, 4, 4, 2, 3, 3, 2, 1, 1, 3, 0, 4, 3, 4, 1, 2, 1, 3, 4, 0, 3, 3, 3, 4, 2, 2, 1, 3, 0, 2, 2, 1, 4, 2, 2, 2, 3, 2, 1, 0, 3, 2, 0, 0, 3, 1, 0, 2, 0, 1, 1, 4, 2, 4, 1, 4, 3, 0, 0, 2, 4, 2, 0, 3, 1, 3, 2, 0, 4, 1, 1, 1, 2, 4, 3, 1, 3, 4, 4, 1, 1, 1, 2, 0, 1, 4, 3, 1, 0, 4, 2, 0, 1, 0, 4, 0, 0, 1, 0, 2, 4, 3, 1, 0, 2, 1, 4, 2, 2, 2, 2, 3, 2, 1, 3, 0, 1, 1, 1, 1, 3, 0, 1, 0, 3, 3, 2, 2, 1, 0, 1, 3, 0, 2, 4, 2, 2, 0, 3, 2, 4, 4, 4, 4, 2, 3, 0, 3, 2, 1, 4, 0, 0, 0, 2, 1, 4, 1, 4, 3, 4, 3, 0, 4, 3, 3, 3, 3, 2, 3, 0, 0, 1, 2, 1, 2, 0, 3, 0, 3, 2, 3, 2, 0, 4, 2, 1, 2, 0, 3, 1, 1, 4, 1, 0, 1, 0, 1, 4, 1, 1, 0, 4, 0, 3, 0, 3, 4, 4, 4, 4, 2, 0, 4, 0, 1, 1, 0, 0, 3, 4, 4, 3, 3, 3, 2, 2, 2, 1, 0, 1, 3, 2, 1, 1, 2, 3, 0, 4, 3, 3, 0, 3, 3, 3, 0, 2, 2, 3, 2, 4, 3, 3, 3, 4, 1, 3, 2, 2, 2, 1, 0, 2, 4, 3, 3, 4, 0, 1, 3, 3, 4, 2, 4, 3, 2, 0, 4, 1, 4, 4, 0, 3, 3, 3, 3, 3, 2, 0, 3, 2, 2, 1, 2, 3, 2, 1, 4, 2, 4, 1, 1, 1, 0, 3, 4, 2, 1, 1, 3, 2, 0, 3, 3, 1, 2, 1, 0, 2, 2, 3, 0, 1, 3, 0, 4, 0, 0]
pubkeycol822 = [4, 2, 0, 2, 3, 4, 0, 3, 2, 0, 0, 1, 3, 2, 1, 3, 2, 3, 3, 2, 0, 0, 2, 2, 3, 0, 3, 1, 0, 4, 3, 1, 4, 1, 0, 3, 2, 1, 1, 1, 1, 1, 2, 1, 0, 4, 0, 3, 4, 1, 1, 1, 0, 2, 1, 0, 4, 2, 2, 1, 4, 2, 2, 1, 2, 4, 4, 3, 4, 0, 4, 2, 0, 2, 1, 0, 0, 2, 2, 4, 0, 2, 4, 4, 4, 0, 4, 4, 3, 0, 0, 0, 3, 3, 3, 1, 2, 3, 2, 4, 3, 0, 4, 4, 4, 3, 2, 4, 2, 1, 4, 0, 3, 2, 4, 3, 2, 3, 2, 3, 0, 0, 2, 4, 0, 2, 0, 4, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 4, 2, 0, 1, 3, 2, 1, 4, 4, 3, 4, 0, 4, 3, 1, 2, 1, 1, 0, 1, 2, 1, 2, 3, 0, 0, 2, 1, 4, 1, 2, 4, 3, 1, 4, 0, 0, 3, 0, 0, 3, 2, 4, 4, 4, 4, 1, 2, 3, 0, 3, 4, 3, 0, 2, 4, 4, 1, 4, 3, 1, 3, 2, 3, 1, 0, 2, 2, 3, 4, 4, 2, 4, 2, 3, 0, 0, 1, 4, 2, 1, 2, 2, 0, 0, 1, 2, 3, 1, 0, 1, 4, 0, 3, 0, 1, 4, 4, 1, 1, 0, 4, 2, 0, 3, 0, 2, 0, 3, 1, 4, 3, 2, 3, 4, 4, 1, 3, 1, 4, 2, 1, 0, 0, 2, 2, 3, 2, 0, 0, 4, 4, 4, 4, 4, 3, 4, 2, 3, 0, 2, 2, 1, 2, 3, 1, 4, 0, 0, 0, 4, 2, 0, 2, 2, 4, 2, 3, 1, 1, 4, 0, 2, 3, 2, 0, 3, 1, 0, 0, 2, 0, 2, 0, 3, 2, 3, 2, 2, 2, 1, 3, 4, 3, 0, 3, 1, 3, 0, 4, 3, 3, 2, 4, 4, 3, 1, 2, 2, 4, 1, 4, 0, 0, 3, 4, 2, 2, 3, 4, 0, 1, 0, 4, 4, 1, 4, 1, 2, 0, 4, 0, 1, 3, 4, 1, 2, 4, 2, 3, 1, 2, 1, 1, 2, 1, 3, 4, 2, 4, 1, 3, 2, 2, 0, 4, 1, 0, 1, 3, 0, 0, 4, 0, 1, 3, 1, 1, 2, 1, 3, 2, 1, 1, 3, 0, 3, 0, 4, 2, 4, 4, 0, 0, 3, 0, 2, 1, 2, 0, 0, 1, 3, 1, 2, 2, 0, 4, 3, 3, 3, 0, 3, 2, 1, 0, 4, 0, 2, 3, 4, 1, 2, 0, 2, 2, 0, 3, 3, 1, 2, 0, 4, 3, 4, 4, 4, 0, 1, 4, 0, 2, 1, 4, 4, 3, 3, 4, 2, 4, 4, 2, 1, 3, 2, 1, 1, 1, 0, 4, 3, 0, 4, 2, 2, 3, 1, 4, 0, 4, 3, 2, 3, 0, 1, 3, 4, 1, 3, 4, 3, 4, 0, 1, 1, 2]
pubkeycol823 = [2, 4, 0, 2, 4, 3, 1, 1, 1, 3, 0, 1, 0, 0, 0, 2, 1, 4, 3, 2, 3, 4, 1, 4, 0, 4, 3, 3, 1, 2, 2, 0, 0, 3, 0, 2, 3, 1, 2, 4, 3, 3, 3, 3, 3, 3, 2, 1, 2, 1, 3, 4, 0, 2, 4, 2, 0, 0, 2, 3, 3, 1, 3, 1, 1, 1, 3, 4, 1, 2, 3, 3, 4, 4, 3, 4, 4, 3, 0, 3, 3, 0, 4, 3, 4, 0, 0, 1, 0, 1, 2, 2, 0, 2, 4, 4, 3, 3, 1, 3, 4, 1, 2, 4, 0, 2, 0, 1, 1, 2, 0, 1, 3, 3, 4, 3, 0, 1, 1, 4, 3, 3, 0, 1, 2, 3, 1, 0, 1, 4, 2, 1, 1, 2, 0, 4, 0, 1, 1, 4, 4, 2, 4, 3, 1, 3, 3, 4, 1, 2, 1, 3, 4, 4, 3, 2, 3, 2, 1, 2, 1, 2, 3, 1, 4, 0, 0, 0, 2, 3, 2, 4, 2, 0, 1, 2, 3, 0, 0, 4, 3, 0, 4, 2, 4, 3, 0, 0, 3, 2, 3, 2, 3, 1, 3, 4, 1, 3, 0, 3, 3, 1, 2, 2, 1, 2, 3, 2, 0, 2, 4, 1, 2, 1, 2, 1, 1, 1, 4, 1, 3, 2, 4, 2, 1, 3, 2, 2, 3, 3, 2, 2, 2, 2, 4, 2, 2, 0, 1, 0, 3, 0, 3, 0, 0, 4, 2, 1, 0, 1, 1, 1, 2, 3, 0, 2, 0, 4, 0, 3, 3, 2, 2, 3, 3, 3, 4, 1, 0, 1, 3, 0, 3, 0, 3, 4, 0, 0, 3, 0, 0, 1, 3, 1, 4, 3, 3, 2, 3, 3, 4, 2, 1, 0, 4, 4, 2, 3, 2, 4, 1, 2, 4, 3, 0, 1, 2, 1, 3, 0, 2, 4, 1, 0, 1, 2, 2, 0, 4, 1, 0, 4, 2, 1, 3, 2, 0, 2, 3, 2, 1, 0, 2, 0, 0, 2, 3, 4, 4, 1, 0, 1, 2, 1, 0, 4, 0, 0, 1, 3, 4, 3, 3, 2, 3, 3, 4, 4, 1, 4, 0, 2, 2, 3, 0, 0, 0, 4, 2, 1, 2, 1, 4, 4, 4, 3, 4, 2, 0, 1, 3, 0, 1, 1, 4, 1, 4, 3, 1, 4, 3, 4, 1, 2, 4, 3, 3, 2, 4, 3, 1, 3, 3, 3, 4, 1, 2, 4, 1, 4, 0, 3, 4, 2, 4, 4, 4, 2, 0, 0, 4, 1, 4, 0, 1, 2, 4, 1, 1, 0, 0, 3, 1, 4, 2, 0, 4, 1, 3, 3, 3, 3, 1, 2, 1, 4, 0, 1, 0, 4, 4, 4, 2, 1, 4, 4, 0, 1, 3, 1, 1, 3, 1, 0, 3, 2, 0, 2, 4, 1, 0, 2, 1, 3, 4, 0, 2, 4, 1, 3, 1, 1, 0, 2, 4, 1, 1, 0, 0, 3, 0, 0, 3, 0, 0, 3, 2, 3, 1, 2, 4, 3, 4, 4, 4]
pubkeycol824 = [4, 0, 4, 1, 2, 0, 2, 2, 0, 1, 4, 0, 0, 0, 0, 3, 3, 4, 3, 3, 1, 2, 0, 0, 2, 4, 2, 0, 3, 4, 0, 1, 2, 3, 4, 0, 4, 3, 0, 4, 0, 0, 3, 4, 4, 4, 2, 3, 1, 0, 0, 0, 4, 3, 3, 2, 4, 1, 2, 0, 2, 1, 0, 0, 3, 1, 4, 4, 1, 1, 3, 2, 4, 3, 2, 2, 0, 3, 1, 1, 1, 4, 4, 4, 1, 4, 2, 1, 2, 1, 3, 1, 4, 1, 3, 3, 0, 2, 0, 1, 2, 2, 0, 0, 4, 2, 0, 2, 3, 4, 4, 2, 0, 3, 1, 0, 2, 0, 3, 2, 4, 0, 0, 2, 1, 0, 0, 3, 3, 1, 3, 0, 3, 0, 2, 4, 2, 1, 2, 3, 2, 0, 2, 1, 2, 2, 2, 3, 2, 4, 3, 2, 2, 0, 4, 4, 4, 0, 0, 4, 1, 3, 1, 0, 1, 1, 3, 1, 0, 0, 1, 4, 4, 0, 0, 4, 3, 0, 1, 3, 0, 2, 1, 1, 2, 3, 2, 1, 4, 2, 2, 0, 0, 4, 0, 4, 0, 1, 2, 3, 4, 1, 0, 0, 1, 4, 4, 3, 0, 0, 2, 2, 3, 1, 1, 2, 3, 0, 2, 3, 2, 0, 4, 4, 2, 4, 2, 3, 1, 0, 0, 1, 1, 0, 1, 2, 4, 3, 3, 4, 2, 3, 3, 4, 4, 3, 4, 0, 2, 3, 1, 0, 3, 2, 4, 1, 2, 0, 1, 0, 1, 2, 3, 3, 4, 0, 4, 4, 0, 4, 2, 2, 3, 0, 1, 4, 4, 1, 1, 3, 4, 4, 4, 3, 3, 0, 0, 0, 3, 4, 0, 2, 2, 3, 0, 2, 2, 3, 4, 1, 1, 3, 2, 0, 3, 4, 2, 4, 4, 2, 1, 2, 3, 4, 3, 1, 2, 3, 1, 1, 1, 1, 3, 1, 1, 4, 2, 1, 3, 0, 2, 1, 1, 4, 2, 1, 3, 2, 1, 1, 4, 4, 3, 0, 0, 4, 2, 3, 4, 2, 2, 4, 0, 2, 3, 3, 2, 4, 1, 0, 3, 3, 4, 3, 2, 1, 4, 2, 0, 0, 0, 1, 1, 2, 1, 4, 1, 3, 0, 1, 0, 3, 1, 1, 1, 2, 1, 4, 0, 4, 0, 4, 2, 1, 4, 1, 3, 3, 2, 1, 4, 0, 3, 3, 3, 2, 0, 1, 4, 1, 2, 2, 0, 4, 3, 4, 0, 3, 4, 2, 4, 4, 4, 3, 0, 3, 2, 1, 2, 1, 3, 3, 4, 3, 2, 3, 2, 3, 1, 3, 4, 3, 0, 4, 2, 2, 1, 3, 2, 3, 2, 4, 0, 2, 2, 0, 1, 2, 1, 3, 3, 2, 1, 4, 0, 1, 0, 2, 2, 4, 0, 3, 4, 0, 1, 2, 2, 2, 4, 2, 3, 4, 1, 4, 4, 1, 4, 3, 0, 0, 2, 1, 4, 0, 0, 4, 3, 3, 0, 1, 2, 1, 4, 3, 3]
pubkeycol825 = [3, 2, 1, 0, 1, 2, 4, 1, 0, 2, 0, 0, 0, 0, 4, 3, 2, 4, 4, 0, 2, 1, 1, 3, 3, 2, 3, 4, 2, 3, 4, 3, 0, 3, 3, 0, 4, 4, 0, 3, 2, 1, 1, 4, 1, 2, 3, 3, 0, 4, 1, 1, 4, 2, 4, 4, 0, 3, 2, 3, 4, 4, 0, 2, 3, 4, 0, 1, 0, 3, 0, 0, 2, 3, 2, 3, 1, 1, 4, 4, 0, 0, 2, 1, 4, 0, 1, 1, 2, 3, 4, 4, 3, 1, 4, 1, 0, 0, 2, 2, 0, 3, 1, 3, 2, 1, 1, 1, 3, 2, 0, 3, 4, 0, 2, 2, 3, 0, 3, 1, 4, 1, 3, 4, 2, 4, 0, 3, 1, 4, 1, 2, 3, 4, 1, 4, 0, 4, 3, 2, 1, 3, 2, 0, 4, 2, 1, 0, 2, 1, 0, 3, 0, 2, 3, 4, 3, 0, 3, 3, 2, 3, 4, 4, 2, 2, 4, 4, 4, 2, 0, 0, 3, 4, 3, 0, 4, 3, 2, 3, 3, 4, 4, 3, 1, 1, 3, 2, 2, 0, 0, 4, 1, 4, 2, 3, 4, 1, 4, 0, 3, 0, 0, 4, 1, 4, 1, 4, 3, 3, 1, 2, 4, 3, 3, 3, 1, 4, 4, 0, 1, 4, 4, 0, 4, 4, 4, 3, 3, 3, 2, 1, 0, 4, 2, 0, 4, 1, 3, 3, 1, 3, 2, 2, 2, 2, 3, 4, 4, 0, 1, 1, 4, 1, 1, 2, 2, 1, 4, 3, 4, 2, 2, 3, 4, 1, 1, 2, 2, 3, 4, 3, 2, 1, 1, 2, 1, 2, 3, 2, 2, 1, 4, 2, 0, 1, 3, 1, 1, 1, 4, 2, 0, 4, 2, 2, 4, 3, 2, 1, 1, 0, 2, 4, 4, 2, 3, 1, 2, 3, 0, 3, 1, 1, 3, 1, 4, 2, 1, 2, 3, 4, 4, 2, 1, 2, 2, 4, 1, 1, 3, 4, 3, 1, 4, 3, 0, 4, 4, 4, 4, 3, 1, 3, 0, 1, 3, 1, 0, 1, 4, 4, 4, 4, 1, 0, 3, 0, 1, 4, 3, 1, 1, 3, 1, 0, 1, 1, 1, 0, 3, 4, 2, 1, 4, 1, 2, 4, 1, 2, 1, 1, 0, 3, 2, 1, 3, 2, 4, 0, 0, 4, 4, 1, 4, 1, 2, 1, 3, 3, 0, 1, 4, 0, 4, 1, 3, 2, 2, 2, 3, 0, 2, 0, 2, 0, 2, 0, 3, 2, 4, 4, 1, 4, 1, 3, 1, 3, 3, 4, 2, 4, 2, 4, 4, 0, 2, 2, 0, 3, 4, 3, 3, 0, 2, 0, 4, 3, 3, 0, 1, 4, 1, 0, 4, 3, 0, 2, 3, 4, 4, 0, 4, 0, 4, 3, 0, 0, 1, 1, 0, 4, 0, 3, 4, 3, 0, 0, 0, 1, 2, 2, 3, 0, 1, 3, 1, 4, 3, 3, 0, 1, 2, 2, 4, 4, 1, 0, 1, 1, 2, 4, 4, 2, 0]
pubkeycol826 = [2, 4, 4, 1, 0, 3, 2, 2, 4, 4, 2, 0, 2, 1, 1, 2, 0, 4, 4, 0, 2, 2, 0, 0, 3, 0, 1, 2, 4, 3, 3, 0, 1, 3, 3, 2, 3, 2, 0, 1, 1, 0, 4, 2, 0, 3, 2, 2, 1, 3, 2, 0, 0, 3, 2, 4, 1, 1, 1, 2, 1, 0, 0, 0, 4, 3, 4, 3, 4, 0, 1, 4, 0, 1, 4, 0, 4, 0, 4, 1, 4, 1, 4, 2, 2, 1, 3, 3, 2, 2, 1, 0, 3, 1, 2, 4, 3, 3, 1, 3, 1, 3, 4, 1, 3, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 4, 0, 3, 2, 1, 0, 0, 2, 0, 3, 1, 1, 3, 3, 4, 3, 4, 0, 4, 3, 1, 3, 2, 0, 3, 0, 1, 3, 2, 2, 3, 0, 2, 1, 3, 0, 1, 4, 0, 3, 3, 2, 3, 1, 3, 2, 4, 4, 0, 4, 2, 0, 1, 0, 1, 4, 3, 3, 0, 2, 4, 0, 1, 3, 4, 0, 4, 2, 4, 1, 2, 3, 2, 1, 2, 2, 3, 0, 4, 0, 1, 3, 2, 2, 2, 3, 4, 3, 0, 0, 4, 1, 3, 3, 1, 4, 0, 1, 0, 4, 0, 1, 0, 3, 3, 2, 1, 1, 4, 1, 3, 0, 4, 0, 0, 4, 1, 4, 0, 2, 0, 4, 3, 3, 0, 1, 2, 1, 3, 3, 4, 0, 1, 1, 2, 3, 1, 4, 0, 3, 3, 2, 3, 1, 1, 2, 3, 3, 0, 1, 2, 3, 1, 0, 4, 3, 3, 1, 1, 2, 2, 1, 2, 3, 2, 4, 1, 4, 3, 1, 2, 1, 0, 4, 2, 1, 0, 2, 4, 3, 0, 4, 4, 3, 4, 2, 1, 1, 2, 3, 1, 1, 1, 1, 3, 0, 4, 4, 1, 4, 1, 1, 4, 2, 4, 2, 4, 4, 0, 2, 2, 1, 3, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 2, 3, 4, 3, 4, 3, 1, 0, 2, 0, 1, 2, 0, 3, 0, 2, 3, 0, 2, 4, 2, 0, 3, 0, 4, 4, 4, 3, 1, 4, 2, 2, 4, 0, 1, 1, 2, 0, 3, 0, 2, 0, 0, 3, 0, 4, 2, 1, 4, 0, 1, 3, 0, 4, 4, 1, 4, 0, 3, 3, 1, 4, 4, 4, 1, 3, 0, 0, 1, 4, 1, 3, 3, 3, 2, 2, 1, 4, 1, 1, 4, 0, 0, 3, 3, 1, 3, 1, 0, 2, 2, 2, 2, 3, 4, 4, 1, 4, 4, 4, 3, 4, 4, 2, 0, 4, 1, 2, 4, 4, 0, 4, 4, 4, 0, 1, 2, 0, 0, 4, 1, 2, 2, 2, 4, 3, 2, 4, 4, 1, 0, 1, 0, 4, 0, 3, 2, 3, 2, 2, 2, 2, 4, 4, 2, 2, 4, 1, 4, 0, 0, 1, 1, 2, 0, 3, 4, 4, 0, 0, 2, 0, 2, 0, 1, 3, 2]
pubkeycol827 = [2, 2, 2, 0, 0, 2, 1, 3, 4, 1, 1, 2, 4, 4, 2, 0, 0, 0, 3, 1, 3, 1, 1, 4, 2, 1, 0, 0, 0, 0, 1, 3, 3, 4, 2, 1, 3, 2, 0, 1, 2, 4, 3, 0, 0, 1, 3, 2, 0, 4, 1, 2, 0, 4, 4, 2, 3, 4, 2, 2, 0, 0, 2, 4, 0, 4, 3, 4, 2, 3, 4, 0, 0, 1, 0, 0, 0, 2, 2, 4, 1, 2, 1, 4, 1, 0, 4, 4, 0, 4, 3, 3, 3, 3, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 4, 1, 0, 4, 1, 1, 0, 4, 3, 0, 1, 0, 1, 3, 1, 0, 0, 0, 0, 2, 2, 3, 4, 4, 4, 0, 0, 0, 2, 3, 4, 4, 4, 1, 4, 1, 2, 4, 0, 2, 1, 3, 2, 1, 4, 4, 2, 0, 3, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 4, 1, 4, 0, 1, 1, 2, 1, 3, 0, 2, 1, 4, 3, 0, 2, 2, 0, 4, 4, 2, 1, 4, 2, 2, 3, 4, 1, 2, 2, 4, 3, 4, 2, 0, 4, 1, 1, 0, 0, 1, 0, 2, 1, 2, 3, 1, 3, 3, 1, 2, 4, 1, 1, 1, 2, 4, 2, 3, 2, 4, 3, 0, 3, 0, 1, 2, 1, 4, 2, 1, 2, 2, 0, 4, 2, 4, 3, 3, 4, 2, 1, 1, 3, 3, 4, 0, 2, 4, 1, 4, 3, 1, 1, 2, 3, 2, 1, 2, 0, 1, 3, 0, 3, 2, 0, 3, 0, 0, 3, 3, 1, 0, 2, 4, 0, 3, 0, 2, 2, 3, 0, 2, 1, 3, 4, 1, 0, 2, 2, 2, 3, 3, 0, 2, 1, 3, 4, 3, 1, 4, 1, 2, 1, 2, 1, 4, 2, 4, 1, 4, 2, 3, 0, 1, 3, 2, 1, 4, 1, 4, 3, 4, 1, 4, 1, 4, 0, 0, 1, 3, 0, 0, 2, 0, 0, 1, 4, 3, 3, 3, 3, 0, 0, 2, 1, 3, 4, 3, 2, 3, 4, 3, 4, 1, 4, 4, 1, 4, 4, 0, 0, 4, 1, 4, 3, 4, 2, 1, 4, 2, 2, 2, 1, 0, 4, 4, 4, 3, 3, 3, 0, 2, 1, 0, 2, 1, 3, 2, 2, 4, 0, 3, 2, 4, 4, 3, 3, 1, 1, 4, 1, 2, 3, 3, 0, 3, 4, 2, 2, 3, 2, 1, 4, 1, 3, 0, 4, 3, 2, 4, 3, 3, 3, 3, 3, 2, 2, 2, 3, 4, 1, 0, 1, 3, 1, 1, 3, 0, 3, 4, 0, 1, 3, 4, 3, 3, 4, 1, 0, 1, 1, 2, 0, 2, 2, 2, 4, 1, 4, 3, 4, 4, 2, 0, 1, 4, 3, 1, 0, 0, 1, 2, 3, 1, 4, 3, 4, 3, 4, 3, 1, 0, 2, 0, 3, 1, 4, 4, 4, 2, 0, 3, 0, 2, 2, 2, 4, 0, 0, 1, 3]
pubkeycol828 = [4, 2, 0, 0, 2, 3, 3, 4, 0, 3, 0, 4, 0, 4, 1, 2, 3, 4, 4, 1, 4, 0, 1, 3, 3, 3, 2, 4, 3, 2, 1, 3, 3, 1, 4, 3, 3, 2, 1, 3, 3, 1, 3, 0, 4, 3, 2, 4, 1, 2, 4, 1, 4, 2, 0, 4, 3, 2, 2, 1, 2, 2, 3, 1, 3, 1, 4, 3, 1, 0, 1, 2, 3, 3, 3, 1, 3, 4, 0, 0, 4, 3, 4, 2, 2, 4, 0, 1, 3, 1, 3, 3, 3, 4, 1, 0, 1, 0, 0, 0, 2, 1, 4, 3, 1, 4, 0, 1, 2, 1, 4, 0, 0, 2, 0, 4, 0, 1, 1, 3, 2, 2, 0, 1, 3, 1, 0, 0, 4, 3, 0, 1, 1, 0, 1, 1, 1, 4, 2, 2, 1, 3, 4, 2, 1, 0, 0, 1, 3, 2, 2, 1, 4, 3, 1, 1, 1, 2, 1, 4, 1, 2, 2, 2, 2, 1, 4, 0, 3, 0, 3, 3, 3, 4, 3, 4, 2, 1, 2, 3, 0, 1, 2, 4, 0, 1, 4, 0, 2, 1, 4, 4, 3, 0, 3, 0, 1, 2, 0, 3, 4, 4, 2, 3, 3, 2, 0, 2, 3, 1, 4, 0, 1, 0, 0, 1, 2, 0, 0, 3, 3, 3, 3, 2, 3, 1, 4, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 3, 2, 3, 0, 2, 4, 0, 3, 4, 3, 4, 2, 1, 4, 4, 4, 2, 3, 4, 0, 0, 4, 2, 0, 3, 0, 1, 2, 1, 0, 4, 2, 4, 3, 3, 3, 4, 2, 1, 4, 2, 3, 1, 1, 1, 3, 3, 1, 3, 3, 0, 0, 0, 0, 3, 3, 0, 2, 4, 2, 2, 0, 0, 3, 3, 0, 1, 0, 4, 0, 3, 0, 1, 1, 3, 4, 1, 0, 1, 2, 4, 0, 0, 2, 3, 1, 3, 2, 0, 3, 3, 1, 2, 4, 2, 2, 4, 3, 2, 4, 2, 1, 4, 0, 2, 1, 0, 3, 1, 1, 1, 4, 3, 0, 0, 4, 1, 0, 2, 2, 2, 1, 2, 2, 1, 4, 4, 4, 3, 4, 4, 4, 4, 4, 0, 2, 4, 3, 4, 1, 4, 4, 3, 1, 3, 4, 1, 3, 2, 1, 3, 3, 2, 2, 4, 4, 3, 2, 4, 4, 1, 4, 4, 3, 4, 3, 2, 4, 1, 2, 3, 1, 2, 1, 1, 4, 0, 2, 2, 1, 1, 3, 0, 0, 1, 4, 2, 4, 2, 1, 1, 3, 3, 3, 4, 3, 2, 0, 2, 1, 4, 3, 1, 4, 2, 1, 4, 0, 1, 1, 1, 1, 4, 3, 3, 3, 3, 1, 0, 3, 1, 1, 2, 4, 2, 3, 3, 0, 1, 0, 1, 1, 0, 4, 3, 2, 2, 3, 4, 3, 1, 1, 1, 4, 4, 1, 3, 2, 4, 1, 3, 1, 2, 3, 3, 0, 3, 1, 4, 4, 1, 1, 2, 3, 4, 2, 3, 2]
pubkeycol829 = [4, 0, 3, 4, 4, 1, 0, 4, 3, 0, 3, 0, 3, 4, 1, 0, 0, 1, 4, 2, 1, 1, 0, 0, 0, 0, 3, 4, 4, 0, 4, 3, 2, 0, 0, 0, 3, 4, 1, 0, 0, 1, 1, 1, 1, 3, 3, 1, 3, 2, 1, 2, 2, 1, 2, 0, 4, 1, 1, 0, 2, 4, 3, 3, 0, 2, 3, 3, 2, 2, 4, 1, 3, 0, 4, 3, 3, 0, 1, 0, 1, 4, 3, 4, 1, 3, 4, 4, 2, 0, 3, 1, 3, 0, 2, 1, 3, 2, 4, 0, 2, 1, 2, 1, 3, 4, 2, 3, 2, 0, 2, 1, 4, 0, 4, 2, 4, 0, 3, 4, 1, 1, 3, 4, 4, 2, 3, 3, 2, 2, 0, 3, 4, 3, 2, 2, 4, 2, 1, 4, 1, 1, 1, 4, 0, 2, 4, 3, 3, 4, 1, 3, 4, 0, 2, 1, 2, 2, 4, 1, 2, 3, 2, 4, 0, 1, 0, 1, 3, 0, 3, 1, 1, 0, 4, 3, 1, 3, 1, 1, 2, 1, 0, 4, 3, 1, 2, 3, 1, 1, 4, 1, 3, 3, 4, 2, 2, 2, 4, 2, 0, 1, 0, 2, 3, 2, 2, 2, 4, 3, 1, 1, 3, 0, 2, 3, 3, 1, 4, 1, 1, 2, 2, 4, 1, 2, 4, 1, 3, 4, 4, 0, 4, 0, 3, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 3, 0, 2, 3, 3, 4, 2, 1, 2, 3, 2, 3, 4, 4, 0, 4, 0, 0, 0, 3, 2, 3, 3, 1, 2, 0, 0, 4, 1, 2, 0, 1, 0, 0, 2, 4, 3, 3, 3, 4, 1, 0, 2, 4, 1, 0, 2, 4, 2, 2, 3, 0, 4, 3, 2, 4, 4, 1, 0, 2, 4, 4, 0, 1, 4, 1, 2, 4, 3, 3, 2, 2, 2, 0, 4, 0, 4, 3, 2, 4, 2, 0, 3, 4, 2, 4, 1, 2, 2, 3, 0, 4, 1, 0, 3, 0, 4, 4, 4, 1, 1, 2, 0, 2, 4, 0, 2, 0, 0, 3, 4, 1, 4, 0, 0, 2, 1, 1, 1, 1, 2, 1, 4, 3, 2, 2, 2, 1, 3, 0, 3, 4, 0, 4, 2, 2, 0, 1, 2, 0, 2, 3, 0, 2, 2, 1, 0, 1, 4, 4, 1, 1, 4, 2, 3, 1, 4, 0, 3, 4, 4, 4, 3, 1, 1, 1, 3, 2, 3, 1, 4, 0, 1, 3, 1, 1, 0, 3, 4, 2, 2, 0, 1, 4, 3, 0, 0, 0, 1, 1, 0, 2, 0, 3, 1, 1, 3, 3, 2, 0, 0, 2, 3, 4, 2, 0, 4, 0, 1, 1, 4, 0, 4, 2, 0, 2, 2, 0, 3, 4, 0, 1, 4, 3, 4, 3, 4, 1, 1, 3, 0, 0, 4, 2, 4, 0, 4, 4, 4, 2, 3, 0, 2, 1, 2, 0, 0, 3, 0, 4, 0, 2, 3, 1, 4, 2, 3, 2, 2, 1]
pubkeycol830 = [4, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 1, 4, 3, 0, 0, 4, 3, 0, 1, 2, 3, 1, 3, 0, 0, 4, 1, 0, 1, 2, 2, 3, 0, 0, 1, 0, 3, 2, 2, 3, 3, 0, 1, 1, 4, 1, 0, 4, 3, 1, 1, 0, 2, 3, 0, 2, 3, 0, 4, 4, 4, 4, 0, 2, 3, 1, 0, 1, 1, 2, 2, 3, 0, 2, 4, 2, 1, 4, 4, 4, 3, 1, 4, 4, 1, 0, 0, 0, 3, 0, 2, 3, 1, 3, 0, 4, 4, 1, 1, 1, 4, 2, 0, 3, 3, 3, 1, 3, 0, 3, 4, 4, 2, 3, 2, 0, 2, 3, 2, 1, 2, 3, 0, 0, 3, 2, 0, 0, 3, 4, 4, 3, 1, 2, 3, 2, 3, 1, 1, 2, 1, 2, 2, 2, 4, 4, 2, 4, 0, 0, 0, 4, 1, 3, 4, 2, 2, 3, 3, 2, 4, 3, 4, 2, 0, 3, 3, 3, 2, 0, 0, 2, 4, 3, 1, 0, 3, 0, 2, 2, 3, 4, 1, 0, 0, 4, 0, 0, 3, 0, 2, 4, 2, 0, 0, 3, 2, 1, 1, 2, 1, 3, 4, 2, 3, 4, 1, 2, 3, 3, 2, 4, 0, 0, 3, 4, 3, 2, 4, 4, 3, 4, 3, 1, 3, 3, 3, 4, 2, 0, 3, 4, 4, 3, 3, 1, 0, 4, 1, 1, 2, 3, 2, 2, 1, 0, 0, 0, 4, 1, 0, 3, 0, 4, 0, 0, 3, 1, 3, 2, 3, 0, 2, 4, 4, 4, 4, 0, 3, 4, 1, 3, 0, 0, 0, 0, 2, 0, 3, 2, 2, 2, 4, 3, 1, 3, 4, 3, 4, 3, 0, 3, 0, 3, 1, 3, 0, 4, 1, 3, 2, 3, 2, 4, 2, 3, 0, 3, 1, 1, 3, 2, 3, 4, 2, 1, 3, 3, 3, 3, 0, 4, 3, 0, 1, 4, 3, 0, 2, 2, 0, 3, 3, 1, 3, 1, 2, 3, 3, 0, 2, 2, 2, 0, 1, 1, 4, 2, 1, 2, 3, 1, 1, 3, 3, 4, 3, 3, 3, 3, 3, 2, 0, 4, 2, 0, 4, 2, 3, 3, 4, 0, 2, 1, 3, 0, 0, 0, 1, 0, 2, 0, 4, 0, 1, 1, 3, 2, 2, 3, 2, 0, 1, 3, 2, 1, 1, 2, 1, 2, 4, 2, 0, 1, 1, 2, 3, 4, 2, 3, 2, 0, 1, 1, 1, 2, 3, 2, 4, 4, 3, 3, 0, 2, 2, 3, 1, 2, 3, 2, 1, 4, 1, 4, 4, 1, 2, 2, 0, 2, 4, 0, 4, 0, 3, 4, 3, 3, 4, 0, 4, 4, 2, 1, 1, 4, 0, 2, 0, 2, 1, 3, 4, 4, 4, 4, 3, 4, 3, 3, 0, 2, 3, 2, 4, 4, 4, 3, 4, 2, 3, 3, 0, 1, 1, 1, 4, 2, 1, 0, 3, 3, 1, 3, 3, 3, 4, 1, 0, 0, 3, 4, 0, 2]
pubkeycol831 = [1, 4, 2, 3, 1, 0, 0, 3, 4, 1, 1, 3, 3, 1, 1, 0, 2, 4, 2, 4, 3, 4, 4, 1, 4, 4, 4, 3, 1, 1, 4, 2, 4, 1, 4, 2, 2, 4, 3, 3, 4, 2, 3, 4, 0, 3, 4, 0, 1, 3, 4, 4, 2, 3, 1, 4, 2, 0, 0, 3, 4, 0, 4, 3, 2, 0, 0, 3, 3, 1, 4, 4, 1, 4, 2, 3, 3, 1, 0, 3, 2, 1, 2, 3, 3, 0, 3, 4, 3, 3, 1, 2, 0, 4, 4, 4, 4, 1, 3, 2, 0, 2, 4, 3, 0, 4, 1, 3, 1, 1, 1, 4, 2, 0, 2, 4, 1, 1, 0, 2, 1, 0, 2, 3, 2, 4, 2, 2, 4, 1, 3, 0, 2, 2, 1, 1, 1, 0, 4, 0, 0, 0, 3, 2, 4, 0, 1, 4, 2, 4, 2, 2, 4, 4, 1, 2, 3, 3, 0, 0, 3, 4, 0, 4, 2, 0, 0, 2, 0, 3, 2, 3, 2, 3, 1, 1, 2, 1, 0, 4, 0, 1, 0, 2, 4, 4, 2, 2, 2, 0, 3, 1, 4, 2, 2, 3, 3, 2, 3, 2, 0, 1, 0, 1, 3, 1, 4, 4, 4, 0, 3, 3, 3, 1, 0, 3, 0, 0, 1, 4, 2, 2, 1, 0, 0, 2, 4, 1, 3, 2, 3, 3, 1, 3, 2, 4, 0, 0, 2, 4, 3, 1, 2, 2, 0, 4, 0, 2, 1, 2, 0, 4, 1, 3, 4, 2, 1, 1, 1, 1, 1, 0, 3, 4, 4, 0, 1, 0, 4, 3, 2, 4, 3, 0, 0, 4, 1, 2, 2, 1, 1, 3, 1, 4, 2, 1, 1, 3, 2, 3, 4, 3, 1, 3, 3, 0, 0, 1, 2, 2, 0, 0, 0, 4, 3, 4, 1, 4, 3, 4, 4, 4, 0, 4, 4, 3, 1, 1, 2, 1, 4, 2, 0, 3, 1, 3, 4, 1, 0, 1, 1, 1, 3, 2, 1, 3, 3, 4, 4, 3, 4, 2, 1, 2, 0, 3, 0, 4, 1, 1, 2, 2, 2, 4, 2, 4, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 3, 2, 3, 2, 3, 4, 4, 3, 0, 0, 0, 2, 1, 3, 4, 3, 4, 2, 3, 2, 3, 1, 3, 3, 3, 4, 3, 1, 0, 2, 4, 2, 4, 4, 4, 4, 3, 4, 2, 4, 4, 4, 2, 1, 2, 3, 4, 0, 1, 1, 4, 0, 0, 1, 1, 4, 0, 0, 3, 3, 3, 3, 2, 2, 3, 3, 4, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 3, 2, 3, 1, 1, 3, 1, 2, 3, 1, 2, 2, 2, 3, 1, 3, 1, 4, 3, 2, 0, 4, 1, 3, 2, 0, 0, 1, 1, 3, 4, 2, 0, 1, 4, 0, 3, 4, 4, 3, 0, 4, 0, 2, 3, 2, 0, 1, 0, 3, 4, 2, 0, 3]
pubkeycol832 = [3, 2, 0, 4, 0, 1, 3, 3, 0, 0, 1, 3, 1, 2, 0, 2, 3, 3, 3, 0, 1, 3, 0, 2, 0, 0, 2, 0, 3, 2, 2, 4, 0, 2, 3, 4, 4, 4, 0, 2, 4, 4, 4, 2, 1, 1, 4, 2, 3, 1, 4, 2, 3, 0, 4, 2, 4, 3, 1, 1, 3, 1, 0, 4, 3, 4, 0, 3, 2, 1, 3, 4, 3, 2, 3, 0, 2, 1, 0, 1, 4, 3, 3, 0, 2, 1, 4, 4, 3, 3, 2, 2, 3, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 3, 1, 1, 4, 1, 0, 4, 0, 2, 4, 1, 2, 3, 0, 1, 0, 2, 0, 4, 3, 0, 1, 0, 3, 4, 4, 1, 4, 4, 3, 2, 3, 4, 4, 0, 2, 0, 1, 1, 4, 1, 1, 3, 0, 2, 2, 4, 2, 4, 4, 3, 3, 4, 4, 0, 4, 0, 2, 4, 4, 4, 2, 3, 2, 4, 4, 0, 3, 3, 2, 4, 4, 0, 1, 4, 4, 4, 2, 1, 3, 2, 3, 3, 0, 2, 0, 3, 0, 3, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 3, 0, 3, 4, 0, 3, 0, 1, 0, 1, 3, 3, 3, 4, 3, 2, 1, 4, 0, 0, 4, 3, 0, 0, 3, 2, 0, 1, 3, 1, 4, 4, 2, 4, 0, 0, 4, 2, 1, 0, 3, 3, 4, 1, 1, 2, 3, 2, 4, 0, 3, 4, 2, 2, 3, 1, 3, 1, 3, 0, 2, 0, 1, 2, 0, 3, 2, 2, 3, 4, 0, 1, 1, 3, 2, 1, 4, 2, 1, 2, 3, 1, 3, 0, 0, 0, 4, 4, 1, 1, 2, 4, 3, 2, 2, 4, 0, 1, 3, 1, 4, 3, 4, 2, 4, 4, 2, 1, 4, 4, 0, 1, 4, 4, 4, 4, 4, 2, 0, 1, 0, 3, 1, 2, 4, 0, 2, 1, 3, 4, 3, 3, 1, 4, 2, 3, 4, 2, 4, 2, 2, 3, 3, 0, 1, 0, 4, 4, 3, 1, 3, 4, 1, 2, 1, 2, 2, 4, 2, 4, 1, 4, 4, 2, 0, 1, 4, 3, 0, 2, 1, 1, 3, 4, 2, 1, 3, 1, 3, 1, 0, 0, 3, 4, 3, 3, 2, 3, 3, 2, 0, 3, 0, 0, 3, 1, 0, 0, 4, 2, 3, 4, 3, 2, 4, 3, 2, 0, 4, 4, 1, 3, 0, 1, 1, 1, 1, 0, 4, 2, 1, 0, 0, 1, 3, 3, 3, 4, 1, 1, 4, 3, 4, 1, 4, 1, 3, 3, 0, 1, 1, 2, 2, 1, 3, 1, 0, 4, 1, 1, 0, 3, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 4, 0, 0, 4, 0, 3, 4, 3, 4, 1, 0, 2, 4, 2, 1, 1, 0, 0, 0, 3, 3, 3, 3, 4, 2, 1, 3, 2, 4, 2, 4]
pubkeycol833 = [4, 2, 1, 0, 4, 0, 1, 2, 2, 1, 4, 1, 3, 0, 3, 0, 2, 4, 4, 1, 2, 2, 0, 3, 4, 0, 3, 0, 2, 4, 4, 2, 1, 3, 0, 0, 1, 2, 2, 4, 1, 0, 3, 4, 4, 0, 1, 2, 0, 0, 3, 3, 3, 4, 3, 1, 4, 4, 0, 2, 0, 3, 2, 1, 4, 4, 4, 4, 2, 2, 2, 0, 2, 3, 2, 4, 0, 4, 3, 4, 0, 0, 2, 0, 1, 3, 1, 2, 1, 1, 2, 1, 3, 1, 0, 4, 3, 0, 3, 4, 2, 3, 3, 3, 2, 4, 4, 0, 4, 0, 1, 3, 0, 4, 4, 2, 3, 2, 2, 2, 1, 3, 4, 1, 4, 0, 3, 1, 0, 2, 4, 1, 2, 2, 3, 4, 0, 2, 3, 0, 4, 2, 0, 1, 3, 3, 2, 3, 4, 0, 4, 1, 1, 0, 1, 0, 3, 4, 1, 4, 3, 3, 2, 1, 0, 0, 4, 3, 4, 4, 0, 4, 1, 2, 4, 4, 3, 1, 2, 1, 2, 2, 4, 3, 0, 4, 1, 1, 3, 4, 2, 1, 3, 4, 4, 1, 1, 1, 3, 2, 3, 1, 3, 1, 4, 2, 0, 0, 2, 2, 1, 1, 3, 0, 4, 4, 4, 2, 2, 0, 4, 4, 2, 2, 3, 3, 2, 0, 2, 1, 4, 0, 0, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 3, 2, 4, 1, 3, 2, 4, 1, 1, 2, 0, 1, 0, 2, 4, 1, 2, 1, 4, 4, 3, 1, 0, 3, 4, 0, 0, 2, 1, 2, 3, 4, 2, 0, 4, 0, 2, 0, 0, 1, 4, 2, 0, 1, 0, 0, 0, 1, 2, 0, 3, 0, 0, 2, 1, 2, 1, 4, 0, 3, 0, 1, 0, 0, 0, 4, 0, 1, 4, 2, 3, 1, 0, 1, 1, 2, 2, 0, 1, 0, 3, 1, 3, 0, 3, 4, 4, 1, 0, 4, 0, 0, 2, 3, 0, 1, 2, 1, 0, 1, 0, 3, 3, 1, 3, 3, 4, 0, 0, 2, 4, 4, 3, 3, 4, 4, 1, 0, 0, 0, 0, 1, 4, 4, 0, 1, 4, 0, 0, 0, 4, 2, 4, 0, 2, 4, 3, 3, 4, 4, 0, 2, 0, 3, 0, 4, 3, 1, 0, 2, 4, 1, 3, 4, 0, 4, 0, 3, 0, 2, 1, 1, 2, 1, 2, 1, 0, 3, 3, 4, 0, 0, 3, 3, 4, 0, 3, 3, 3, 4, 0, 0, 2, 0, 4, 2, 3, 1, 4, 3, 0, 4, 4, 1, 1, 1, 0, 1, 1, 2, 2, 0, 3, 3, 2, 3, 2, 2, 1, 2, 2, 3, 2, 3, 2, 1, 1, 0, 4, 3, 2, 4, 4, 2, 4, 4, 0, 1, 0, 3, 3, 2, 3, 1, 2, 0, 0, 4, 4, 1, 1, 2, 4, 0, 1, 4, 2, 4, 1, 1, 2, 3, 4, 3, 0, 4, 4, 0, 1, 3, 3, 0]
pubkeycol834 = [4, 0, 3, 0, 4, 1, 4, 1, 3, 4, 4, 3, 2, 1, 4, 2, 3, 4, 1, 1, 4, 3, 2, 1, 0, 3, 1, 4, 3, 3, 0, 4, 1, 2, 4, 3, 0, 2, 1, 2, 4, 0, 1, 4, 1, 4, 1, 4, 4, 1, 4, 1, 0, 1, 4, 1, 3, 3, 1, 2, 2, 4, 2, 3, 4, 4, 0, 3, 1, 4, 4, 1, 4, 1, 2, 1, 4, 4, 1, 2, 3, 0, 1, 0, 2, 3, 0, 3, 3, 3, 3, 2, 3, 2, 3, 0, 0, 3, 3, 1, 1, 0, 4, 2, 0, 1, 4, 1, 2, 3, 0, 2, 4, 4, 0, 3, 3, 2, 2, 3, 4, 3, 0, 2, 1, 3, 2, 1, 0, 0, 3, 2, 0, 2, 4, 1, 4, 0, 0, 0, 0, 2, 0, 2, 3, 4, 2, 0, 1, 2, 0, 2, 0, 1, 2, 3, 2, 3, 0, 1, 3, 0, 0, 2, 4, 0, 4, 3, 4, 3, 1, 0, 4, 4, 2, 2, 2, 1, 3, 3, 2, 2, 2, 2, 4, 4, 1, 3, 1, 1, 4, 4, 3, 3, 2, 4, 4, 4, 4, 1, 2, 2, 3, 0, 4, 4, 1, 3, 4, 3, 0, 0, 1, 0, 2, 1, 3, 2, 1, 1, 4, 0, 3, 3, 1, 3, 1, 2, 4, 1, 2, 2, 0, 2, 4, 3, 2, 4, 1, 0, 3, 4, 1, 4, 3, 1, 2, 4, 1, 3, 4, 2, 0, 0, 2, 4, 0, 3, 4, 2, 4, 4, 2, 2, 0, 2, 1, 1, 2, 4, 3, 1, 2, 1, 3, 2, 1, 3, 3, 1, 2, 1, 0, 3, 0, 1, 3, 2, 2, 3, 1, 1, 1, 3, 1, 0, 1, 3, 4, 2, 4, 0, 0, 2, 0, 0, 3, 1, 0, 1, 3, 0, 3, 0, 2, 2, 2, 3, 1, 0, 2, 2, 4, 3, 4, 1, 1, 2, 3, 2, 2, 1, 0, 4, 1, 2, 0, 2, 3, 4, 1, 3, 2, 0, 4, 4, 4, 0, 1, 2, 4, 4, 4, 3, 2, 3, 0, 2, 2, 0, 1, 0, 3, 3, 1, 2, 4, 4, 1, 0, 4, 3, 0, 3, 3, 2, 2, 1, 4, 0, 3, 0, 3, 4, 0, 0, 4, 1, 3, 4, 3, 1, 2, 1, 4, 0, 2, 2, 0, 1, 4, 0, 4, 3, 4, 2, 3, 0, 1, 2, 1, 2, 4, 1, 1, 1, 2, 4, 4, 4, 1, 0, 0, 3, 1, 0, 3, 1, 1, 3, 2, 4, 1, 3, 0, 0, 4, 4, 0, 2, 3, 4, 0, 3, 1, 1, 4, 1, 1, 0, 4, 3, 1, 0, 0, 1, 4, 3, 1, 0, 2, 4, 0, 2, 2, 1, 2, 3, 0, 4, 3, 1, 1, 1, 0, 3, 1, 4, 3, 3, 2, 0, 0, 0, 4, 4, 1, 4, 4, 0, 2, 2, 4, 3, 4, 1, 1, 4, 4, 2, 0, 2, 1, 2, 1]
pubkeycol835 = [3, 3, 1, 2, 0, 3, 4, 3, 3, 0, 1, 4, 4, 0, 0, 2, 3, 2, 0, 2, 3, 4, 1, 0, 0, 0, 2, 4, 2, 1, 4, 1, 3, 0, 1, 3, 1, 1, 1, 4, 1, 0, 3, 2, 2, 0, 1, 1, 0, 0, 2, 0, 4, 4, 2, 0, 3, 1, 1, 1, 2, 3, 1, 0, 3, 2, 3, 2, 4, 4, 2, 4, 1, 4, 3, 4, 0, 4, 1, 1, 2, 3, 3, 1, 2, 1, 4, 1, 4, 2, 4, 1, 0, 0, 0, 1, 3, 0, 2, 0, 2, 3, 3, 1, 3, 1, 4, 4, 3, 0, 0, 3, 4, 3, 0, 2, 3, 2, 1, 2, 3, 1, 4, 1, 1, 2, 1, 2, 4, 3, 4, 3, 3, 3, 0, 0, 2, 0, 2, 4, 2, 2, 0, 4, 0, 3, 1, 2, 3, 3, 1, 2, 2, 0, 4, 2, 4, 0, 2, 0, 1, 0, 3, 4, 2, 0, 2, 2, 3, 3, 0, 0, 1, 2, 1, 0, 3, 2, 3, 4, 2, 0, 0, 0, 2, 0, 0, 1, 4, 2, 3, 4, 0, 3, 3, 0, 4, 4, 4, 0, 3, 0, 3, 0, 1, 3, 3, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 4, 0, 4, 4, 1, 4, 1, 4, 3, 1, 0, 1, 4, 0, 3, 3, 0, 3, 2, 4, 0, 0, 0, 2, 2, 2, 0, 3, 0, 2, 3, 1, 0, 1, 4, 4, 1, 2, 1, 3, 4, 1, 3, 4, 0, 2, 2, 3, 0, 3, 4, 3, 3, 4, 2, 1, 2, 1, 2, 1, 0, 0, 3, 4, 3, 2, 2, 1, 2, 2, 1, 4, 4, 1, 0, 2, 2, 4, 1, 4, 0, 3, 0, 0, 4, 1, 0, 2, 1, 4, 3, 2, 1, 2, 4, 4, 4, 1, 1, 3, 4, 1, 2, 2, 4, 4, 0, 1, 2, 2, 3, 2, 4, 1, 2, 2, 1, 2, 1, 4, 0, 3, 2, 3, 4, 3, 2, 1, 0, 3, 4, 0, 1, 0, 1, 4, 3, 1, 0, 0, 0, 3, 2, 0, 3, 0, 4, 0, 4, 0, 4, 0, 0, 3, 0, 3, 3, 1, 2, 0, 4, 1, 3, 0, 1, 3, 3, 3, 4, 2, 0, 1, 4, 2, 2, 3, 1, 3, 2, 1, 2, 0, 3, 0, 2, 3, 2, 1, 0, 4, 0, 1, 2, 3, 3, 0, 3, 3, 2, 3, 4, 3, 4, 1, 4, 1, 3, 4, 4, 4, 0, 4, 0, 1, 1, 3, 0, 1, 3, 1, 0, 2, 1, 4, 2, 0, 0, 1, 2, 0, 0, 2, 3, 1, 2, 0, 3, 2, 3, 0, 3, 1, 0, 2, 3, 0, 1, 3, 3, 4, 3, 4, 2, 3, 2, 1, 3, 2, 0, 0, 4, 1, 2, 2, 3, 3, 3, 3, 0, 3, 0, 3, 1, 4, 1, 1, 4, 2, 4, 0, 2, 3, 0, 4, 2, 3, 0, 0]
pubkeycol836 = [2, 3, 0, 1, 0, 4, 2, 2, 0, 4, 3, 1, 1, 3, 3, 0, 0, 1, 1, 4, 3, 4, 2, 2, 3, 1, 4, 1, 0, 1, 2, 2, 4, 4, 4, 1, 0, 1, 1, 1, 0, 1, 2, 3, 3, 2, 4, 3, 1, 1, 0, 4, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 4, 4, 4, 0, 0, 3, 0, 2, 2, 1, 2, 0, 4, 3, 1, 3, 0, 1, 3, 3, 3, 4, 2, 1, 3, 0, 2, 3, 0, 0, 3, 3, 1, 3, 2, 1, 0, 0, 1, 1, 1, 3, 2, 1, 1, 2, 2, 1, 4, 3, 2, 3, 0, 3, 3, 0, 2, 2, 2, 4, 0, 2, 0, 1, 2, 4, 1, 0, 3, 4, 1, 1, 3, 0, 0, 4, 1, 4, 3, 2, 1, 4, 2, 0, 0, 4, 2, 2, 0, 3, 3, 0, 4, 0, 2, 3, 3, 3, 4, 2, 4, 0, 2, 3, 3, 0, 2, 2, 2, 0, 2, 2, 2, 4, 3, 1, 4, 1, 4, 4, 1, 0, 0, 2, 1, 1, 3, 3, 0, 1, 4, 3, 4, 3, 4, 3, 1, 2, 2, 0, 4, 0, 3, 0, 2, 4, 2, 4, 0, 2, 2, 3, 1, 1, 2, 4, 2, 2, 2, 0, 2, 4, 2, 0, 4, 0, 2, 2, 3, 3, 3, 1, 2, 4, 3, 4, 3, 3, 4, 4, 4, 3, 3, 4, 2, 0, 1, 0, 1, 1, 3, 0, 4, 2, 2, 0, 0, 4, 3, 3, 3, 1, 3, 1, 3, 2, 4, 4, 3, 4, 2, 4, 1, 4, 2, 4, 0, 3, 3, 0, 0, 2, 3, 2, 4, 2, 2, 3, 0, 4, 1, 4, 0, 2, 3, 4, 3, 0, 3, 3, 3, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 4, 2, 4, 3, 4, 4, 3, 3, 1, 2, 3, 1, 3, 2, 2, 3, 4, 3, 2, 4, 4, 1, 1, 0, 2, 3, 1, 1, 1, 2, 0, 1, 2, 0, 3, 3, 1, 2, 1, 0, 4, 2, 2, 3, 4, 1, 1, 2, 0, 0, 3, 0, 4, 1, 0, 1, 2, 4, 4, 3, 0, 2, 3, 1, 4, 0, 0, 0, 4, 1, 1, 1, 0, 1, 0, 1, 2, 0, 3, 4, 1, 0, 3, 2, 3, 1, 1, 2, 3, 1, 0, 4, 4, 2, 2, 1, 2, 4, 1, 0, 3, 3, 0, 2, 3, 0, 4, 4, 2, 2, 4, 1, 3, 2, 4, 0, 0, 0, 1, 0, 0, 4, 1, 1, 1, 2, 0, 0, 3, 2, 0, 4, 4, 1, 3, 0, 1, 3, 0, 4, 3, 0, 2, 3, 2, 1, 2, 0, 0, 2, 1, 2, 1, 4, 1, 1, 4, 0, 3, 3, 3, 4, 0, 4, 4, 1, 0, 2, 2, 0, 1, 3, 4, 1, 3, 2, 2, 4, 2, 3, 4, 3, 2, 3, 3, 0, 4, 1, 3, 0, 0]
pubkeycol837 = [1, 3, 4, 4, 4, 2, 4, 2, 4, 3, 4, 2, 2, 4, 1, 3, 2, 4, 4, 3, 3, 4, 3, 1, 1, 3, 3, 2, 3, 0, 0, 3, 3, 3, 3, 1, 3, 0, 1, 3, 0, 0, 3, 4, 4, 0, 2, 2, 1, 3, 3, 2, 3, 4, 2, 4, 4, 3, 1, 2, 1, 2, 1, 2, 4, 2, 2, 0, 3, 0, 4, 1, 4, 0, 3, 0, 2, 4, 2, 3, 0, 2, 4, 3, 2, 1, 4, 1, 1, 3, 3, 2, 1, 4, 2, 4, 0, 3, 3, 3, 1, 1, 1, 2, 0, 3, 2, 0, 4, 4, 2, 0, 2, 0, 4, 3, 4, 3, 0, 3, 2, 2, 1, 1, 0, 2, 4, 0, 4, 3, 3, 0, 4, 1, 4, 3, 0, 0, 1, 1, 1, 4, 3, 0, 1, 2, 1, 4, 2, 0, 0, 0, 0, 1, 3, 4, 1, 2, 1, 2, 1, 0, 2, 2, 0, 3, 2, 0, 2, 3, 2, 0, 1, 4, 3, 0, 4, 4, 3, 1, 3, 2, 4, 0, 4, 1, 3, 0, 3, 0, 1, 4, 4, 3, 3, 1, 3, 0, 4, 4, 2, 0, 2, 2, 2, 4, 3, 3, 2, 1, 2, 1, 0, 3, 1, 1, 4, 0, 3, 3, 2, 0, 1, 4, 0, 1, 2, 0, 2, 3, 2, 3, 0, 0, 4, 3, 0, 2, 4, 1, 1, 1, 4, 2, 0, 2, 4, 4, 2, 4, 2, 4, 4, 3, 0, 1, 3, 3, 0, 1, 3, 0, 1, 0, 0, 0, 2, 3, 4, 3, 0, 2, 2, 3, 1, 0, 1, 4, 0, 2, 2, 3, 2, 1, 2, 3, 2, 0, 1, 2, 1, 0, 4, 2, 4, 4, 2, 2, 2, 0, 2, 4, 4, 1, 3, 4, 0, 0, 3, 4, 4, 2, 2, 4, 1, 0, 4, 3, 3, 1, 1, 3, 4, 0, 2, 4, 2, 2, 1, 3, 4, 3, 2, 3, 3, 0, 3, 1, 0, 0, 3, 1, 2, 0, 0, 3, 0, 0, 3, 1, 2, 3, 4, 0, 0, 3, 3, 0, 4, 2, 3, 4, 2, 1, 4, 3, 1, 2, 4, 2, 1, 1, 1, 3, 3, 3, 4, 0, 3, 3, 2, 2, 3, 3, 4, 2, 3, 1, 2, 2, 3, 2, 0, 1, 3, 1, 1, 3, 1, 3, 3, 0, 0, 2, 2, 3, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 4, 2, 3, 0, 1, 1, 1, 4, 4, 4, 3, 0, 4, 1, 2, 1, 0, 4, 1, 1, 2, 4, 4, 4, 0, 3, 0, 3, 1, 1, 4, 2, 3, 2, 3, 1, 0, 4, 4, 1, 4, 2, 0, 1, 3, 0, 4, 3, 2, 2, 2, 4, 4, 1, 0, 4, 2, 2, 0, 1, 4, 3, 4, 1, 2, 0, 4, 0, 2, 1, 2, 1, 4, 1, 4, 4, 2, 2, 1, 2, 1, 3, 4, 3, 2, 0]
pubkeycol838 = [2, 1, 4, 1, 1, 2, 4, 3, 0, 1, 1, 4, 3, 2, 2, 4, 2, 4, 0, 3, 2, 1, 4, 3, 2, 3, 0, 4, 0, 4, 3, 4, 3, 1, 2, 3, 0, 3, 0, 0, 1, 2, 3, 0, 4, 2, 3, 3, 1, 0, 4, 1, 0, 4, 3, 3, 1, 1, 1, 1, 3, 1, 1, 3, 0, 2, 2, 4, 0, 3, 0, 4, 0, 3, 1, 1, 0, 0, 3, 4, 3, 2, 3, 4, 3, 2, 1, 4, 4, 2, 1, 2, 0, 3, 1, 0, 1, 3, 2, 3, 0, 3, 0, 1, 0, 2, 4, 0, 2, 3, 0, 2, 4, 2, 2, 3, 4, 0, 4, 0, 3, 4, 3, 2, 4, 4, 2, 2, 2, 3, 2, 3, 2, 0, 0, 2, 1, 0, 1, 3, 0, 1, 0, 3, 0, 0, 0, 2, 4, 3, 3, 0, 4, 1, 2, 4, 0, 4, 4, 4, 2, 3, 1, 3, 2, 0, 4, 1, 1, 2, 4, 4, 1, 1, 4, 1, 0, 1, 0, 0, 2, 4, 1, 3, 1, 0, 0, 4, 2, 3, 2, 3, 2, 0, 2, 4, 4, 0, 1, 2, 2, 0, 0, 2, 4, 2, 3, 2, 1, 1, 0, 3, 2, 3, 1, 3, 2, 3, 3, 1, 4, 0, 0, 4, 1, 4, 3, 0, 1, 0, 4, 1, 0, 4, 1, 4, 4, 2, 4, 3, 1, 0, 4, 3, 2, 1, 2, 1, 4, 1, 1, 2, 0, 3, 4, 1, 1, 1, 1, 4, 0, 3, 4, 0, 4, 4, 4, 0, 3, 4, 0, 1, 1, 1, 3, 4, 0, 2, 4, 3, 3, 3, 0, 3, 3, 0, 1, 3, 1, 2, 4, 4, 1, 2, 0, 0, 3, 0, 0, 3, 1, 3, 1, 1, 4, 0, 2, 2, 3, 1, 3, 0, 2, 0, 3, 0, 4, 3, 2, 4, 4, 4, 1, 3, 0, 3, 2, 1, 2, 1, 2, 2, 0, 1, 4, 4, 2, 3, 4, 0, 4, 0, 4, 0, 3, 3, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 4, 1, 0, 0, 1, 4, 1, 4, 4, 3, 3, 1, 4, 0, 4, 1, 4, 2, 0, 2, 2, 2, 4, 4, 2, 3, 0, 0, 4, 0, 3, 1, 3, 3, 1, 4, 2, 1, 4, 4, 0, 2, 1, 3, 3, 3, 4, 3, 0, 0, 4, 4, 2, 1, 1, 0, 4, 4, 0, 3, 2, 3, 2, 0, 1, 4, 1, 2, 2, 1, 3, 1, 4, 3, 1, 1, 3, 2, 0, 2, 2, 2, 0, 0, 2, 0, 3, 2, 3, 0, 2, 4, 0, 1, 2, 4, 4, 3, 4, 0, 1, 0, 3, 3, 3, 1, 3, 3, 2, 1, 4, 1, 2, 3, 0, 1, 0, 3, 1, 1, 2, 3, 1, 4, 4, 0, 3, 0, 1, 2, 2, 3, 0, 3, 3, 4, 2, 2, 2, 2, 3, 2, 2, 4, 2]
pubkeycol839 = [0, 1, 0, 3, 1, 0, 4, 0, 4, 3, 1, 3, 0, 2, 0, 3, 2, 4, 1, 3, 4, 4, 2, 1, 4, 0, 1, 1, 2, 1, 1, 1, 4, 2, 3, 4, 0, 2, 2, 4, 1, 2, 0, 0, 0, 0, 2, 4, 0, 0, 1, 2, 0, 0, 4, 1, 0, 1, 0, 1, 0, 3, 3, 0, 0, 1, 1, 4, 4, 2, 2, 2, 1, 4, 2, 1, 0, 0, 1, 1, 1, 4, 1, 1, 3, 3, 1, 4, 0, 4, 4, 4, 3, 1, 4, 0, 3, 1, 2, 2, 0, 1, 3, 3, 4, 4, 4, 4, 3, 2, 2, 3, 4, 0, 4, 2, 4, 1, 1, 1, 4, 2, 2, 1, 1, 4, 0, 2, 3, 4, 2, 4, 0, 0, 1, 1, 2, 2, 3, 4, 4, 1, 4, 3, 0, 0, 0, 4, 0, 0, 1, 3, 1, 1, 4, 4, 0, 2, 4, 2, 0, 4, 0, 0, 0, 4, 3, 3, 4, 2, 4, 4, 4, 4, 0, 1, 4, 1, 1, 2, 0, 0, 3, 3, 4, 2, 0, 3, 2, 3, 2, 3, 0, 4, 2, 0, 2, 3, 0, 1, 1, 1, 0, 3, 0, 1, 1, 4, 4, 3, 4, 2, 3, 2, 3, 3, 2, 4, 1, 1, 1, 2, 1, 2, 1, 3, 4, 3, 2, 0, 3, 0, 0, 3, 4, 2, 0, 1, 0, 1, 2, 3, 2, 0, 1, 4, 0, 3, 0, 1, 2, 3, 1, 0, 3, 1, 0, 0, 4, 4, 2, 1, 1, 1, 1, 0, 0, 4, 2, 3, 2, 4, 0, 0, 2, 2, 0, 0, 3, 4, 4, 1, 4, 1, 4, 2, 0, 3, 3, 4, 4, 4, 3, 0, 3, 1, 1, 0, 1, 4, 0, 4, 1, 0, 3, 4, 4, 1, 3, 1, 1, 0, 4, 1, 3, 2, 4, 1, 0, 3, 3, 3, 0, 1, 0, 1, 3, 3, 4, 1, 2, 0, 1, 3, 1, 1, 4, 0, 4, 4, 1, 1, 3, 1, 4, 0, 0, 3, 0, 0, 0, 2, 2, 1, 4, 2, 2, 4, 3, 2, 0, 2, 2, 4, 4, 2, 1, 3, 3, 2, 0, 4, 2, 0, 0, 0, 1, 3, 3, 3, 4, 4, 3, 4, 2, 0, 4, 3, 2, 2, 3, 0, 2, 0, 3, 1, 3, 0, 0, 3, 3, 4, 3, 3, 0, 4, 1, 4, 0, 1, 4, 2, 4, 1, 0, 1, 2, 1, 1, 0, 4, 0, 3, 4, 4, 4, 3, 1, 0, 1, 4, 4, 4, 3, 2, 2, 4, 3, 0, 4, 2, 2, 3, 2, 2, 2, 3, 1, 0, 2, 3, 3, 3, 1, 2, 4, 1, 3, 2, 2, 1, 0, 3, 2, 1, 0, 1, 2, 4, 4, 4, 4, 1, 2, 0, 0, 2, 3, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 1, 2, 2, 3, 0, 1, 0, 1, 2, 1, 3, 1, 0]
pubkeycol840 = [0, 3, 2, 3, 0, 3, 4, 2, 3, 2, 4, 1, 4, 0, 4, 1, 3, 4, 1, 4, 3, 3, 1, 0, 0, 4, 1, 3, 4, 2, 0, 3, 3, 3, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 4, 0, 2, 4, 3, 1, 3, 1, 3, 0, 2, 0, 1, 2, 0, 4, 3, 0, 1, 3, 1, 0, 0, 0, 2, 4, 0, 3, 2, 1, 1, 4, 4, 1, 3, 0, 3, 3, 4, 4, 4, 3, 0, 1, 3, 1, 4, 0, 2, 3, 3, 4, 1, 3, 4, 1, 0, 0, 1, 0, 2, 2, 0, 1, 3, 4, 4, 3, 0, 3, 3, 4, 1, 3, 3, 1, 0, 1, 4, 1, 0, 4, 4, 3, 1, 1, 4, 0, 2, 1, 4, 1, 4, 1, 1, 1, 3, 1, 2, 2, 1, 2, 3, 0, 1, 0, 4, 3, 1, 4, 4, 4, 2, 2, 2, 4, 0, 3, 2, 0, 4, 0, 0, 1, 4, 2, 1, 0, 3, 0, 2, 2, 4, 0, 3, 3, 3, 4, 2, 3, 0, 0, 3, 1, 1, 0, 4, 4, 3, 1, 3, 0, 0, 4, 3, 1, 3, 0, 1, 1, 1, 3, 4, 0, 1, 3, 2, 4, 2, 3, 2, 3, 4, 2, 2, 3, 4, 3, 2, 1, 0, 1, 4, 0, 3, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 3, 3, 2, 2, 3, 3, 1, 2, 0, 4, 2, 2, 4, 1, 2, 2, 1, 2, 3, 1, 0, 0, 3, 0, 1, 3, 4, 1, 3, 4, 4, 2, 0, 4, 4, 4, 2, 0, 2, 3, 0, 4, 4, 1, 0, 3, 2, 3, 3, 0, 0, 2, 3, 2, 3, 4, 4, 3, 0, 1, 2, 2, 3, 3, 1, 2, 1, 2, 2, 1, 4, 2, 4, 0, 0, 1, 4, 0, 3, 0, 0, 4, 3, 0, 3, 0, 0, 4, 3, 2, 3, 0, 2, 3, 2, 0, 4, 4, 3, 4, 0, 0, 0, 3, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 4, 0, 4, 3, 2, 2, 2, 3, 0, 4, 3, 3, 1, 3, 1, 0, 3, 1, 3, 0, 1, 3, 0, 2, 4, 4, 1, 3, 3, 0, 4, 4, 0, 2, 0, 1, 2, 3, 0, 2, 2, 2, 1, 0, 3, 1, 1, 3, 4, 0, 3, 2, 0, 1, 2, 4, 0, 3, 1, 1, 4, 4, 4, 1, 2, 3, 4, 0, 1, 0, 3, 2, 1, 4, 3, 0, 0, 4, 3, 1, 2, 3, 3, 2, 1, 3, 3, 2, 4, 1, 0, 0, 4, 3, 0, 3, 1, 3, 3, 4, 1, 4, 3, 0, 4, 3, 4, 3, 0, 2, 1, 4, 3, 2, 3, 0, 0, 2, 0, 2, 3, 4, 0, 3, 2, 1, 0, 4, 2, 2, 2, 2, 1, 4, 2, 0, 2, 3, 3, 3, 4, 3, 4, 3, 2, 0]
pubkeycol841 = [1, 4, 4, 0, 4, 4, 4, 4, 4, 2, 1, 2, 4, 0, 1, 3, 1, 4, 1, 4, 0, 4, 1, 1, 3, 2, 0, 2, 3, 3, 4, 3, 4, 2, 4, 4, 3, 4, 0, 2, 3, 2, 3, 4, 2, 2, 2, 2, 3, 0, 0, 1, 1, 1, 0, 4, 3, 2, 0, 3, 4, 2, 0, 3, 0, 1, 2, 0, 0, 2, 1, 2, 4, 2, 3, 3, 0, 1, 1, 2, 1, 1, 1, 4, 3, 1, 4, 3, 4, 0, 2, 2, 4, 1, 2, 1, 3, 4, 2, 1, 2, 1, 0, 3, 1, 4, 0, 1, 2, 1, 4, 4, 1, 2, 4, 4, 3, 3, 1, 4, 3, 4, 2, 3, 0, 2, 4, 0, 1, 0, 2, 2, 2, 3, 4, 3, 1, 0, 3, 4, 3, 2, 3, 2, 1, 4, 3, 3, 3, 4, 4, 2, 4, 4, 4, 4, 3, 1, 2, 3, 2, 2, 4, 3, 0, 0, 3, 2, 2, 1, 1, 0, 0, 4, 1, 4, 1, 3, 3, 0, 0, 1, 2, 0, 2, 3, 0, 4, 3, 2, 1, 3, 1, 2, 1, 2, 2, 4, 4, 4, 3, 0, 3, 3, 0, 3, 4, 1, 3, 1, 4, 1, 0, 1, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 3, 0, 0, 3, 0, 4, 1, 3, 2, 1, 0, 2, 4, 3, 4, 1, 4, 4, 4, 2, 3, 0, 0, 3, 1, 1, 0, 2, 4, 3, 2, 1, 4, 4, 1, 2, 1, 3, 1, 1, 4, 1, 2, 4, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 4, 3, 3, 4, 0, 3, 2, 3, 2, 2, 3, 4, 1, 1, 1, 2, 3, 2, 2, 0, 0, 4, 2, 4, 3, 2, 4, 3, 0, 0, 3, 4, 0, 4, 0, 3, 0, 2, 0, 3, 0, 0, 0, 3, 4, 0, 1, 2, 1, 4, 4, 4, 2, 2, 1, 0, 0, 3, 1, 4, 0, 4, 1, 2, 3, 0, 0, 1, 2, 1, 3, 0, 2, 1, 0, 0, 1, 4, 0, 1, 1, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 1, 3, 2, 2, 3, 0, 0, 2, 3, 0, 4, 0, 0, 2, 4, 3, 2, 3, 2, 2, 4, 2, 2, 0, 4, 0, 1, 1, 2, 0, 4, 0, 4, 1, 3, 3, 2, 3, 3, 0, 1, 3, 4, 1, 4, 1, 2, 4, 3, 2, 0, 2, 4, 2, 4, 1, 3, 3, 4, 4, 1, 0, 1, 2, 3, 4, 4, 4, 4, 0, 1, 0, 0, 1, 4, 1, 4, 2, 3, 3, 3, 3, 1, 3, 3, 2, 2, 4, 4, 2, 2, 0, 2, 0, 4, 2, 2, 1, 4, 4, 0, 0, 4, 1, 4, 0, 1, 2, 1, 1, 4, 3, 0, 2, 2, 0, 1, 3, 4, 4, 4, 4, 2, 3, 4, 0, 0, 1, 1, 4, 4, 4, 0, 4, 4]
pubkeycol842 = [2, 1, 3, 3, 1, 4, 1, 0, 1, 2, 4, 0, 1, 1, 3, 1, 3, 3, 2, 2, 1, 1, 0, 2, 4, 4, 0, 3, 2, 4, 2, 1, 2, 2, 3, 3, 2, 3, 1, 2, 0, 4, 1, 2, 2, 3, 0, 4, 2, 0, 1, 3, 3, 1, 4, 3, 1, 0, 3, 4, 3, 1, 3, 3, 4, 2, 3, 0, 2, 4, 0, 3, 2, 3, 0, 0, 0, 3, 3, 0, 2, 4, 3, 4, 1, 2, 0, 3, 0, 1, 0, 3, 2, 4, 3, 4, 0, 4, 3, 0, 2, 2, 3, 0, 1, 1, 0, 2, 1, 3, 3, 4, 0, 3, 0, 1, 4, 3, 1, 4, 2, 3, 0, 4, 1, 2, 1, 4, 1, 4, 2, 4, 4, 2, 4, 1, 2, 3, 1, 3, 1, 0, 3, 2, 2, 4, 1, 2, 1, 2, 1, 2, 0, 4, 4, 4, 2, 1, 4, 3, 4, 0, 1, 2, 3, 4, 2, 3, 1, 2, 3, 3, 0, 2, 2, 2, 1, 3, 1, 2, 1, 2, 2, 2, 4, 2, 3, 1, 4, 0, 3, 4, 3, 3, 3, 1, 4, 4, 0, 1, 1, 3, 1, 4, 1, 0, 4, 4, 0, 4, 2, 3, 3, 1, 0, 4, 1, 1, 4, 4, 4, 1, 2, 3, 0, 2, 1, 2, 0, 2, 4, 3, 0, 0, 0, 1, 2, 3, 4, 4, 0, 0, 1, 1, 4, 2, 2, 4, 3, 1, 4, 2, 3, 3, 4, 1, 0, 2, 3, 1, 4, 0, 3, 0, 2, 0, 4, 3, 4, 0, 4, 4, 0, 3, 0, 0, 1, 2, 0, 2, 4, 1, 0, 0, 1, 4, 0, 2, 4, 0, 1, 0, 2, 3, 4, 0, 0, 0, 0, 2, 2, 0, 1, 0, 3, 4, 4, 0, 4, 4, 1, 4, 1, 4, 1, 1, 0, 1, 3, 3, 1, 1, 2, 3, 2, 3, 3, 1, 3, 3, 2, 4, 2, 0, 2, 3, 4, 3, 0, 4, 3, 0, 0, 3, 1, 2, 1, 1, 2, 3, 2, 0, 1, 3, 0, 0, 4, 0, 4, 3, 2, 3, 1, 2, 1, 1, 0, 0, 4, 4, 4, 2, 3, 4, 0, 4, 2, 0, 4, 1, 3, 1, 3, 2, 4, 3, 1, 2, 2, 2, 3, 0, 2, 3, 0, 0, 4, 2, 4, 4, 1, 3, 4, 0, 4, 4, 0, 3, 3, 0, 0, 3, 1, 3, 0, 0, 0, 2, 4, 3, 1, 0, 2, 2, 4, 0, 3, 1, 3, 2, 2, 3, 1, 3, 3, 2, 0, 0, 0, 4, 0, 2, 4, 4, 1, 2, 2, 4, 0, 2, 4, 4, 1, 3, 4, 4, 2, 2, 1, 2, 0, 1, 4, 3, 0, 3, 2, 1, 0, 2, 3, 1, 3, 0, 0, 1, 2, 3, 0, 4, 4, 4, 0, 1, 3, 2, 0, 2, 0, 1, 1, 3, 2, 2, 1, 2, 1, 2, 3, 3, 1, 0, 4, 1, 0]
pubkeycol843 = [4, 0, 2, 0, 3, 0, 0, 2, 1, 4, 0, 0, 3, 4, 0, 3, 0, 0, 1, 2, 3, 2, 2, 0, 0, 3, 2, 1, 3, 2, 4, 4, 3, 3, 4, 0, 2, 0, 3, 2, 2, 3, 3, 4, 1, 2, 0, 3, 3, 3, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 4, 3, 0, 2, 2, 2, 2, 4, 1, 2, 0, 1, 0, 2, 3, 1, 4, 1, 4, 1, 1, 1, 0, 4, 1, 1, 3, 2, 0, 0, 3, 2, 0, 2, 2, 2, 1, 3, 4, 0, 0, 3, 0, 0, 2, 0, 4, 4, 4, 1, 0, 2, 2, 0, 3, 1, 3, 3, 4, 3, 2, 4, 1, 2, 3, 0, 1, 2, 2, 4, 4, 2, 1, 1, 1, 4, 1, 3, 1, 3, 2, 2, 4, 3, 4, 4, 2, 3, 4, 1, 1, 3, 1, 4, 2, 2, 0, 4, 4, 3, 1, 3, 3, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 4, 2, 2, 2, 4, 1, 4, 4, 1, 4, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 4, 3, 0, 0, 0, 4, 1, 0, 3, 2, 1, 2, 4, 2, 1, 4, 4, 4, 4, 1, 0, 3, 3, 1, 1, 4, 0, 2, 3, 2, 3, 0, 4, 1, 1, 2, 0, 0, 1, 4, 2, 1, 1, 0, 1, 2, 3, 4, 4, 0, 3, 1, 3, 2, 1, 3, 1, 1, 4, 1, 3, 3, 2, 1, 3, 3, 1, 4, 4, 3, 1, 1, 3, 4, 0, 4, 1, 4, 0, 3, 3, 4, 0, 1, 1, 2, 0, 1, 0, 2, 4, 2, 2, 0, 1, 2, 1, 3, 0, 1, 0, 1, 4, 0, 0, 0, 1, 2, 3, 4, 2, 1, 2, 3, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 3, 2, 0, 1, 1, 2, 4, 0, 1, 4, 1, 3, 1, 3, 2, 1, 4, 2, 3, 4, 3, 1, 2, 4, 2, 1, 0, 0, 0, 1, 2, 4, 4, 4, 0, 3, 1, 2, 0, 4, 1, 2, 0, 3, 4, 1, 2, 2, 4, 2, 3, 3, 2, 2, 2, 1, 3, 0, 3, 1, 0, 1, 3, 0, 3, 2, 3, 0, 3, 2, 3, 1, 0, 3, 0, 3, 4, 2, 1, 0, 1, 1, 2, 3, 1, 3, 3, 2, 2, 4, 3, 4, 3, 0, 1, 3, 1, 3, 1, 0, 0, 3, 4, 0, 1, 2, 3, 0, 1, 0, 0, 4, 0, 1, 0, 0, 2, 4, 1, 0, 2, 1, 1, 1, 1, 3, 1, 3, 4, 0, 1, 2, 1, 3, 4, 3, 2, 3, 3, 1, 4, 2, 4, 4, 3, 3, 1, 0, 4, 4, 1, 1, 3, 0, 3, 1, 1, 0, 2, 0, 2, 3, 0, 1, 0, 2, 1, 1, 1, 4, 1, 1, 4, 1, 4, 0, 0, 3, 3, 1, 0, 4, 3, 2, 1, 2]
pubkeycol844 = [0, 4, 4, 3, 1, 2, 2, 4, 3, 4, 0, 3, 3, 0, 4, 3, 4, 0, 2, 2, 4, 3, 2, 1, 3, 2, 2, 3, 2, 0, 0, 3, 2, 3, 2, 3, 1, 1, 0, 0, 1, 2, 3, 2, 1, 0, 1, 4, 3, 3, 4, 0, 3, 1, 0, 4, 2, 1, 3, 0, 3, 2, 0, 4, 4, 3, 2, 2, 3, 0, 2, 3, 0, 0, 1, 2, 4, 2, 2, 3, 2, 3, 4, 4, 0, 3, 3, 1, 3, 1, 4, 1, 1, 3, 2, 0, 0, 4, 0, 1, 3, 3, 1, 0, 2, 1, 0, 3, 1, 1, 4, 3, 1, 1, 3, 4, 1, 0, 4, 2, 3, 3, 2, 0, 2, 3, 0, 0, 3, 0, 1, 2, 4, 2, 4, 0, 0, 3, 2, 0, 4, 4, 1, 4, 0, 1, 3, 2, 1, 0, 4, 1, 4, 2, 1, 2, 2, 2, 2, 4, 3, 0, 2, 2, 3, 4, 1, 3, 1, 3, 2, 3, 3, 4, 4, 0, 2, 1, 0, 3, 1, 4, 4, 3, 3, 0, 1, 1, 0, 2, 0, 3, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 4, 0, 2, 1, 3, 2, 2, 4, 0, 4, 1, 1, 3, 3, 0, 1, 4, 0, 1, 4, 0, 2, 0, 1, 0, 2, 4, 0, 4, 2, 2, 2, 3, 2, 1, 3, 1, 0, 0, 0, 2, 3, 1, 1, 1, 4, 2, 4, 2, 2, 1, 2, 0, 4, 1, 0, 1, 1, 0, 0, 3, 1, 1, 3, 3, 1, 2, 3, 3, 4, 3, 4, 1, 2, 3, 1, 4, 0, 4, 4, 0, 1, 2, 4, 1, 4, 0, 2, 1, 0, 1, 2, 0, 0, 3, 1, 4, 3, 4, 4, 0, 0, 4, 0, 4, 1, 4, 2, 1, 1, 4, 4, 3, 3, 1, 4, 1, 2, 1, 1, 2, 4, 4, 0, 3, 2, 3, 1, 4, 3, 1, 4, 3, 3, 1, 3, 0, 4, 3, 0, 3, 2, 4, 0, 0, 1, 2, 0, 4, 3, 3, 4, 1, 4, 4, 2, 4, 4, 4, 4, 1, 0, 2, 4, 0, 2, 2, 1, 3, 0, 3, 4, 4, 1, 4, 2, 3, 4, 1, 3, 2, 4, 4, 4, 0, 4, 4, 2, 2, 3, 0, 3, 0, 0, 3, 4, 4, 4, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 4, 2, 0, 4, 2, 4, 0, 4, 3, 0, 1, 0, 4, 3, 4, 4, 0, 0, 2, 3, 1, 0, 1, 2, 1, 0, 0, 3, 3, 1, 2, 3, 4, 0, 0, 0, 3, 0, 0, 0, 3, 3, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 4, 3, 1, 2, 1, 0, 3, 3, 0, 3, 2, 2, 3, 3, 3, 4, 4, 1, 1, 2, 1, 4, 1, 2, 4, 4, 4, 3, 1, 0, 2, 3, 2, 1, 0, 0, 4, 3, 2, 0, 1, 4]
pubkeycol845 = [2, 4, 4, 2, 4, 3, 1, 3, 3, 2, 2, 0, 4, 0, 3, 1, 0, 1, 2, 3, 0, 1, 1, 0, 2, 0, 1, 4, 3, 4, 3, 0, 3, 0, 3, 0, 4, 1, 1, 3, 1, 0, 2, 4, 4, 2, 3, 3, 1, 3, 4, 4, 3, 1, 2, 2, 0, 2, 2, 4, 1, 2, 4, 2, 3, 1, 1, 4, 1, 3, 0, 1, 1, 2, 4, 4, 0, 2, 1, 2, 3, 3, 4, 4, 0, 0, 0, 3, 1, 4, 1, 1, 1, 4, 0, 0, 2, 0, 1, 3, 4, 1, 0, 4, 0, 0, 4, 1, 3, 3, 2, 0, 2, 1, 1, 2, 4, 2, 1, 4, 0, 4, 0, 0, 0, 1, 2, 0, 3, 0, 4, 1, 0, 3, 4, 4, 1, 3, 2, 1, 0, 0, 0, 0, 4, 1, 4, 0, 1, 2, 4, 3, 1, 1, 1, 0, 4, 1, 4, 3, 0, 2, 1, 1, 3, 2, 0, 2, 2, 4, 1, 4, 4, 0, 4, 2, 4, 3, 0, 4, 4, 3, 3, 0, 2, 0, 1, 2, 4, 3, 3, 4, 0, 2, 3, 1, 0, 2, 2, 4, 2, 4, 4, 1, 0, 3, 0, 2, 0, 3, 3, 4, 4, 3, 3, 4, 4, 0, 0, 3, 0, 0, 2, 0, 4, 3, 2, 0, 2, 2, 2, 1, 1, 2, 3, 4, 3, 2, 3, 0, 4, 1, 4, 1, 4, 4, 2, 2, 2, 3, 3, 0, 4, 4, 1, 1, 0, 3, 2, 1, 0, 2, 0, 3, 1, 4, 0, 1, 3, 3, 4, 1, 0, 2, 3, 1, 2, 3, 0, 4, 4, 2, 1, 4, 4, 3, 3, 4, 3, 4, 0, 3, 1, 4, 1, 2, 3, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 3, 2, 4, 2, 2, 4, 3, 0, 1, 1, 3, 3, 3, 3, 2, 3, 3, 3, 1, 3, 1, 0, 3, 1, 4, 2, 0, 4, 0, 2, 4, 2, 0, 0, 0, 2, 2, 1, 4, 1, 0, 4, 1, 0, 3, 1, 3, 1, 1, 1, 0, 2, 1, 0, 2, 4, 2, 4, 2, 4, 2, 4, 0, 2, 0, 2, 1, 0, 2, 3, 3, 3, 0, 0, 4, 4, 0, 4, 1, 1, 1, 4, 2, 0, 0, 1, 3, 2, 4, 4, 4, 1, 1, 4, 0, 0, 1, 4, 0, 2, 3, 0, 3, 2, 3, 2, 1, 2, 2, 2, 3, 3, 4, 3, 4, 2, 3, 1, 1, 3, 2, 2, 4, 0, 1, 0, 3, 3, 1, 1, 4, 1, 2, 2, 4, 0, 3, 4, 4, 3, 2, 1, 2, 2, 0, 1, 0, 4, 2, 2, 0, 2, 3, 2, 1, 3, 0, 4, 4, 4, 0, 3, 2, 4, 3, 4, 4, 2, 0, 0, 1, 1, 0, 4, 4, 4, 4, 3, 3, 4, 3, 3, 3, 2, 3, 3, 1, 1, 2, 2, 0, 3, 3, 1, 1, 3, 4, 4]
pubkeycol846 = [4, 3, 0, 2, 1, 0, 3, 2, 2, 0, 0, 0, 0, 1, 3, 1, 1, 1, 0, 2, 4, 1, 4, 1, 0, 4, 4, 1, 1, 2, 0, 1, 4, 4, 2, 4, 3, 3, 1, 4, 3, 1, 1, 1, 2, 3, 0, 4, 2, 1, 2, 0, 2, 4, 1, 2, 0, 2, 4, 1, 0, 2, 4, 3, 0, 0, 3, 2, 3, 3, 2, 3, 4, 2, 3, 2, 2, 4, 4, 3, 2, 3, 0, 0, 2, 4, 1, 3, 3, 2, 0, 1, 3, 2, 3, 2, 3, 1, 3, 4, 3, 4, 2, 1, 3, 3, 3, 4, 1, 0, 4, 2, 3, 1, 2, 3, 0, 4, 2, 0, 3, 0, 4, 1, 4, 0, 4, 0, 0, 1, 2, 2, 0, 3, 2, 2, 1, 4, 2, 2, 1, 0, 0, 1, 0, 3, 1, 3, 4, 2, 4, 1, 4, 2, 3, 0, 0, 0, 1, 4, 2, 4, 0, 2, 2, 3, 4, 3, 3, 2, 2, 1, 2, 3, 2, 0, 3, 2, 4, 3, 2, 2, 2, 1, 2, 1, 4, 0, 1, 0, 4, 0, 0, 4, 0, 3, 2, 3, 2, 1, 3, 2, 3, 1, 0, 3, 3, 2, 2, 2, 2, 0, 0, 3, 2, 2, 2, 0, 3, 3, 0, 0, 2, 3, 3, 3, 0, 3, 3, 4, 1, 2, 0, 3, 3, 0, 0, 4, 3, 3, 4, 3, 0, 3, 2, 1, 1, 2, 0, 0, 1, 2, 4, 1, 3, 2, 3, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 3, 3, 2, 1, 0, 1, 0, 0, 3, 3, 2, 0, 1, 3, 1, 3, 0, 4, 3, 0, 4, 0, 3, 4, 2, 1, 0, 1, 4, 4, 1, 1, 0, 2, 1, 0, 1, 0, 2, 4, 1, 0, 0, 3, 3, 4, 1, 1, 4, 0, 2, 0, 1, 0, 4, 4, 1, 1, 4, 4, 0, 4, 2, 4, 2, 3, 0, 4, 1, 2, 4, 0, 2, 4, 3, 3, 3, 0, 4, 0, 1, 3, 3, 4, 1, 1, 3, 4, 1, 4, 1, 4, 3, 3, 2, 4, 2, 0, 2, 2, 4, 0, 4, 3, 0, 2, 2, 3, 0, 2, 3, 2, 3, 1, 4, 1, 2, 3, 2, 0, 2, 3, 1, 2, 4, 3, 1, 0, 3, 1, 2, 4, 0, 2, 2, 4, 3, 4, 3, 0, 1, 2, 4, 1, 0, 3, 3, 2, 4, 2, 1, 0, 4, 4, 1, 2, 4, 3, 0, 4, 0, 0, 1, 4, 3, 2, 4, 1, 1, 3, 2, 2, 4, 1, 4, 1, 2, 4, 2, 1, 4, 0, 0, 2, 3, 1, 2, 1, 4, 2, 3, 1, 0, 3, 4, 3, 2, 2, 3, 2, 2, 0, 3, 1, 0, 1, 1, 1, 1, 3, 0, 4, 0, 0, 1, 3, 2, 3, 0, 2, 2, 3, 1, 2, 0, 0, 3, 2, 2, 3, 1, 3, 4, 1, 2, 1, 3, 2]
pubkeycol847 = [0, 2, 4, 4, 1, 1, 0, 1, 0, 3, 4, 2, 2, 1, 3, 3, 1, 3, 4, 0, 2, 0, 4, 4, 2, 4, 0, 2, 4, 2, 0, 2, 1, 2, 4, 2, 3, 2, 4, 0, 2, 2, 3, 4, 2, 3, 1, 3, 2, 2, 4, 3, 0, 1, 1, 3, 4, 2, 1, 4, 3, 0, 4, 3, 2, 1, 0, 2, 4, 0, 3, 1, 0, 1, 1, 2, 1, 1, 0, 4, 0, 1, 2, 4, 1, 2, 1, 4, 3, 1, 3, 0, 2, 4, 3, 4, 3, 4, 0, 3, 1, 2, 1, 2, 0, 1, 1, 2, 3, 0, 0, 3, 2, 2, 0, 2, 0, 4, 4, 3, 3, 1, 0, 3, 4, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 3, 1, 0, 3, 4, 1, 4, 1, 2, 3, 4, 3, 2, 0, 3, 2, 3, 3, 3, 4, 0, 4, 3, 1, 4, 4, 4, 0, 3, 4, 1, 4, 2, 3, 0, 0, 0, 2, 4, 4, 4, 2, 0, 1, 2, 1, 2, 1, 0, 0, 4, 2, 1, 1, 0, 2, 1, 2, 2, 3, 3, 4, 1, 0, 4, 0, 3, 4, 0, 0, 2, 0, 2, 4, 4, 1, 2, 4, 1, 3, 2, 3, 2, 1, 4, 2, 2, 0, 0, 0, 0, 4, 1, 0, 1, 2, 2, 4, 4, 4, 1, 2, 4, 3, 2, 3, 4, 2, 0, 1, 4, 1, 4, 1, 1, 4, 1, 4, 3, 4, 4, 2, 0, 0, 3, 2, 4, 0, 2, 2, 2, 3, 3, 1, 1, 3, 2, 3, 3, 3, 0, 4, 2, 2, 3, 3, 4, 1, 0, 4, 0, 2, 4, 2, 2, 2, 0, 1, 3, 0, 0, 1, 4, 4, 0, 0, 4, 3, 2, 0, 4, 4, 0, 1, 1, 0, 1, 3, 2, 1, 4, 4, 2, 1, 1, 0, 3, 3, 2, 4, 1, 1, 3, 3, 3, 2, 1, 3, 3, 0, 1, 1, 1, 4, 0, 4, 0, 2, 4, 2, 3, 3, 2, 2, 3, 1, 1, 0, 2, 0, 1, 1, 2, 3, 1, 1, 0, 2, 2, 3, 3, 0, 0, 1, 4, 2, 4, 3, 3, 3, 1, 0, 0, 3, 1, 2, 4, 4, 4, 1, 3, 3, 4, 4, 2, 0, 2, 0, 3, 4, 4, 2, 2, 0, 1, 1, 2, 1, 3, 1, 4, 0, 3, 3, 4, 1, 0, 1, 1, 3, 1, 3, 2, 4, 3, 4, 4, 4, 0, 3, 2, 0, 4, 0, 4, 1, 3, 3, 3, 4, 1, 1, 3, 4, 2, 2, 2, 2, 1, 4, 1, 2, 2, 0, 0, 0, 1, 1, 3, 0, 4, 4, 0, 3, 3, 3, 2, 2, 3, 2, 3, 1, 3, 1, 4, 0, 0, 3, 3, 4, 1, 1, 4, 4, 4, 4, 1, 2, 1, 0, 4, 2, 1, 0, 3, 2, 2, 3, 0, 0, 1, 3, 3, 4, 4, 1, 4]
pubkeycol848 = [3, 1, 0, 2, 4, 1, 0, 1, 4, 0, 2, 3, 4, 1, 1, 0, 3, 0, 1, 2, 0, 4, 2, 4, 1, 3, 3, 4, 1, 4, 4, 0, 2, 0, 3, 2, 4, 0, 1, 0, 2, 2, 1, 4, 1, 4, 4, 1, 3, 2, 3, 1, 2, 1, 1, 4, 1, 3, 4, 4, 4, 3, 3, 1, 1, 2, 4, 3, 1, 1, 3, 4, 0, 1, 4, 2, 1, 4, 0, 1, 4, 4, 3, 4, 0, 1, 0, 3, 0, 0, 4, 4, 2, 2, 4, 3, 4, 3, 2, 1, 0, 0, 0, 3, 1, 0, 0, 4, 0, 3, 3, 3, 4, 2, 2, 0, 1, 1, 2, 2, 2, 4, 1, 3, 0, 3, 4, 3, 1, 4, 1, 4, 4, 3, 4, 1, 0, 4, 0, 1, 3, 1, 3, 1, 1, 2, 0, 1, 2, 3, 0, 1, 3, 1, 3, 4, 4, 4, 4, 3, 3, 2, 1, 2, 3, 2, 4, 1, 3, 0, 3, 2, 3, 3, 3, 3, 4, 4, 3, 1, 3, 3, 2, 0, 1, 0, 3, 0, 4, 1, 3, 1, 4, 4, 2, 0, 1, 0, 2, 1, 0, 3, 1, 4, 1, 0, 3, 1, 2, 1, 1, 1, 3, 0, 3, 3, 0, 2, 2, 1, 2, 0, 3, 1, 2, 0, 2, 4, 4, 4, 1, 0, 1, 3, 3, 3, 0, 0, 1, 2, 3, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 2, 2, 4, 2, 0, 0, 4, 2, 4, 3, 0, 0, 4, 2, 4, 0, 3, 1, 3, 0, 4, 0, 1, 1, 0, 3, 2, 2, 0, 4, 2, 1, 1, 4, 3, 4, 4, 0, 0, 2, 1, 0, 2, 2, 0, 2, 4, 3, 3, 3, 0, 4, 4, 2, 1, 1, 4, 1, 0, 0, 0, 0, 4, 0, 2, 1, 0, 4, 3, 3, 1, 2, 1, 3, 4, 0, 4, 4, 2, 0, 1, 2, 2, 3, 1, 3, 2, 2, 0, 2, 1, 0, 2, 3, 0, 2, 1, 3, 3, 3, 4, 3, 3, 2, 3, 1, 1, 3, 4, 1, 2, 4, 4, 4, 3, 2, 0, 3, 0, 0, 0, 2, 2, 2, 3, 0, 2, 2, 1, 3, 2, 1, 4, 2, 0, 3, 2, 0, 0, 1, 3, 2, 0, 4, 3, 2, 2, 4, 1, 3, 3, 3, 2, 2, 3, 4, 0, 2, 2, 2, 2, 2, 3, 3, 1, 0, 1, 1, 1, 3, 2, 1, 4, 3, 4, 2, 3, 0, 2, 0, 0, 2, 3, 1, 1, 2, 1, 2, 1, 4, 1, 4, 4, 1, 2, 4, 1, 0, 4, 3, 3, 0, 0, 1, 0, 3, 4, 2, 0, 4, 3, 3, 4, 4, 0, 4, 4, 2, 0, 1, 4, 0, 2, 2, 0, 4, 2, 3, 3, 3, 0, 2, 3, 4, 1, 2, 2, 2, 4, 4, 0, 3, 1, 0, 3, 1, 2, 4, 2, 4, 4, 4, 4]
pubkeycol849 = [3, 1, 1, 3, 2, 3, 2, 3, 1, 1, 4, 0, 2, 0, 0, 3, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 4, 3, 4, 2, 1, 1, 3, 0, 1, 0, 2, 1, 4, 2, 1, 3, 0, 0, 0, 2, 1, 2, 2, 3, 4, 3, 4, 2, 0, 1, 3, 1, 4, 3, 1, 3, 4, 0, 2, 2, 4, 1, 0, 2, 3, 4, 4, 4, 4, 1, 0, 3, 4, 3, 3, 2, 3, 3, 1, 3, 4, 4, 1, 3, 3, 2, 2, 4, 2, 1, 4, 1, 0, 0, 1, 4, 4, 2, 4, 2, 2, 3, 1, 3, 1, 0, 0, 3, 2, 3, 3, 4, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 4, 2, 0, 3, 2, 2, 1, 2, 0, 0, 1, 1, 3, 2, 1, 3, 3, 4, 2, 0, 1, 2, 2, 3, 1, 4, 2, 4, 4, 3, 0, 0, 2, 1, 3, 2, 2, 4, 4, 1, 0, 2, 1, 4, 1, 0, 4, 2, 2, 4, 1, 0, 0, 2, 1, 0, 1, 4, 2, 2, 2, 2, 1, 1, 4, 4, 2, 0, 4, 3, 1, 1, 0, 3, 0, 0, 0, 3, 4, 4, 3, 2, 1, 0, 2, 1, 2, 1, 0, 1, 4, 1, 3, 0, 2, 3, 4, 4, 4, 4, 4, 1, 3, 4, 0, 4, 3, 3, 4, 4, 4, 2, 4, 2, 2, 1, 1, 4, 0, 0, 0, 1, 2, 2, 3, 1, 2, 0, 3, 1, 4, 0, 4, 3, 4, 2, 3, 2, 2, 3, 3, 3, 2, 2, 4, 1, 2, 1, 4, 3, 3, 1, 3, 0, 0, 1, 4, 2, 0, 1, 1, 4, 2, 2, 2, 0, 0, 3, 1, 1, 1, 4, 0, 0, 4, 4, 0, 2, 0, 4, 4, 1, 1, 4, 4, 3, 3, 0, 1, 3, 1, 2, 4, 4, 2, 3, 0, 1, 2, 1, 1, 1, 1, 3, 2, 1, 2, 2, 3, 3, 4, 4, 4, 0, 4, 3, 0, 1, 1, 2, 3, 4, 1, 3, 3, 4, 1, 0, 0, 0, 4, 1, 2, 1, 4, 1, 3, 0, 3, 1, 1, 4, 4, 1, 4, 1, 0, 3, 3, 2, 0, 0, 4, 3, 3, 4, 0, 4, 1, 2, 4, 1, 0, 2, 1, 1, 2, 4, 4, 4, 3, 4, 2, 2, 0, 3, 0, 2, 4, 4, 3, 2, 2, 3, 0, 4, 1, 4, 3, 4, 1, 3, 0, 3, 0, 2, 1, 4, 2, 1, 1, 1, 0, 1, 3, 0, 0, 2, 1, 0, 3, 2, 2, 4, 2, 1, 0, 2, 4, 4, 0, 0, 3, 2, 3, 1, 2, 0, 3, 1, 3, 1, 4, 0, 3, 4, 2, 1, 4, 4, 1, 3, 2, 3, 1, 2, 0, 3, 3, 2, 2, 3, 0, 0, 2, 4, 2, 2, 4, 4, 4, 0, 4, 4, 4, 1, 0, 2, 4, 4, 2, 0, 1, 3, 2]
pubkeycol850 = [2, 0, 1, 3, 4, 2, 2, 3, 4, 0, 0, 0, 0, 4, 1, 1, 3, 4, 2, 4, 4, 3, 1, 4, 1, 2, 4, 2, 0, 0, 2, 0, 0, 1, 3, 4, 1, 0, 4, 1, 1, 1, 1, 4, 1, 4, 2, 4, 4, 4, 0, 4, 0, 2, 1, 4, 4, 4, 0, 1, 1, 0, 3, 3, 1, 0, 1, 3, 4, 4, 0, 4, 3, 4, 2, 2, 0, 2, 3, 0, 2, 1, 3, 3, 0, 2, 3, 2, 2, 3, 3, 3, 0, 1, 2, 4, 4, 4, 2, 0, 3, 3, 2, 3, 1, 1, 3, 0, 0, 3, 1, 0, 3, 4, 0, 1, 0, 1, 3, 3, 3, 4, 0, 0, 0, 1, 2, 0, 2, 1, 2, 3, 0, 2, 0, 2, 1, 0, 1, 4, 4, 1, 3, 2, 3, 2, 0, 1, 0, 1, 2, 3, 3, 3, 1, 3, 0, 2, 0, 4, 3, 2, 2, 4, 4, 1, 3, 0, 0, 0, 3, 4, 4, 0, 3, 0, 2, 1, 3, 1, 4, 0, 1, 4, 3, 4, 2, 1, 2, 4, 1, 4, 0, 3, 3, 4, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 4, 1, 2, 3, 1, 3, 3, 1, 3, 2, 4, 0, 2, 2, 4, 2, 4, 4, 1, 2, 3, 1, 4, 0, 4, 4, 0, 2, 4, 3, 3, 1, 0, 2, 4, 1, 0, 0, 0, 3, 3, 1, 4, 3, 4, 2, 3, 4, 2, 2, 0, 3, 2, 3, 4, 2, 1, 2, 2, 1, 3, 1, 4, 0, 3, 3, 0, 3, 3, 4, 1, 3, 0, 0, 1, 2, 2, 3, 2, 4, 0, 1, 4, 0, 1, 0, 3, 4, 2, 4, 0, 3, 2, 4, 0, 4, 2, 0, 2, 2, 1, 0, 4, 4, 2, 2, 1, 4, 4, 1, 0, 2, 3, 4, 1, 2, 4, 4, 2, 4, 0, 1, 1, 2, 2, 0, 3, 3, 2, 2, 1, 2, 3, 1, 4, 1, 3, 3, 4, 0, 2, 0, 2, 1, 0, 2, 4, 0, 4, 1, 0, 4, 3, 1, 0, 2, 4, 1, 1, 0, 2, 4, 1, 1, 1, 1, 3, 2, 1, 4, 4, 3, 2, 2, 1, 3, 0, 4, 4, 4, 4, 4, 3, 1, 1, 3, 4, 2, 3, 0, 2, 0, 3, 2, 4, 2, 0, 2, 0, 2, 4, 4, 1, 0, 0, 4, 3, 2, 2, 3, 4, 1, 0, 4, 4, 1, 1, 0, 4, 1, 3, 4, 2, 2, 3, 2, 1, 0, 1, 4, 1, 4, 1, 1, 4, 4, 3, 1, 1, 1, 1, 2, 2, 1, 0, 3, 3, 4, 0, 1, 3, 2, 4, 3, 1, 2, 3, 3, 4, 4, 3, 1, 0, 1, 2, 3, 1, 1, 4, 3, 4, 2, 2, 4, 4, 1, 3, 1, 2, 0, 1, 2, 0, 0, 0, 4, 4, 3, 3, 0, 3, 0, 1, 1, 0, 3, 2, 0, 0]
pubkeycol851 = [4, 2, 2, 4, 0, 2, 2, 0, 3, 3, 4, 0, 1, 2, 1, 1, 2, 4, 2, 2, 1, 4, 3, 0, 4, 4, 0, 1, 4, 2, 0, 2, 2, 3, 0, 1, 3, 3, 1, 2, 3, 1, 3, 4, 0, 1, 1, 1, 2, 4, 2, 2, 0, 0, 3, 1, 4, 3, 1, 0, 3, 2, 0, 1, 2, 4, 1, 4, 2, 0, 4, 3, 0, 0, 0, 4, 2, 0, 0, 0, 4, 3, 4, 0, 2, 0, 4, 2, 2, 0, 1, 3, 3, 1, 2, 2, 4, 2, 0, 3, 3, 1, 3, 4, 0, 2, 2, 3, 2, 0, 0, 1, 2, 1, 2, 1, 3, 0, 2, 2, 1, 0, 3, 2, 2, 0, 1, 0, 4, 1, 0, 2, 1, 4, 4, 2, 0, 0, 0, 1, 4, 4, 2, 2, 2, 2, 3, 3, 2, 4, 2, 0, 4, 3, 4, 3, 2, 1, 3, 3, 4, 0, 1, 0, 0, 1, 1, 4, 3, 2, 4, 1, 3, 4, 1, 4, 4, 0, 0, 0, 2, 3, 4, 1, 0, 4, 2, 3, 3, 4, 1, 3, 0, 3, 4, 4, 3, 2, 2, 1, 1, 2, 3, 2, 4, 3, 4, 0, 4, 0, 0, 1, 0, 4, 1, 4, 0, 1, 0, 4, 2, 4, 2, 2, 4, 0, 3, 0, 3, 2, 3, 2, 3, 4, 0, 1, 1, 3, 0, 0, 2, 1, 1, 1, 1, 0, 4, 3, 1, 0, 1, 3, 4, 3, 1, 4, 3, 4, 3, 3, 3, 1, 2, 4, 1, 3, 1, 0, 3, 4, 3, 4, 4, 4, 1, 3, 3, 0, 3, 1, 0, 4, 4, 2, 3, 0, 4, 3, 3, 0, 1, 2, 1, 4, 2, 0, 4, 2, 3, 1, 4, 4, 0, 0, 4, 3, 2, 1, 2, 1, 2, 2, 3, 1, 3, 3, 3, 2, 1, 1, 4, 3, 2, 1, 4, 2, 0, 3, 0, 2, 3, 0, 2, 2, 4, 0, 0, 4, 4, 3, 4, 3, 1, 4, 3, 1, 0, 2, 0, 3, 2, 1, 3, 4, 3, 1, 4, 3, 3, 2, 0, 0, 1, 1, 0, 2, 1, 4, 4, 0, 4, 4, 3, 1, 4, 3, 4, 4, 1, 0, 2, 4, 0, 2, 3, 3, 1, 0, 0, 2, 4, 0, 4, 0, 4, 0, 3, 0, 4, 0, 1, 3, 4, 3, 2, 1, 2, 3, 4, 4, 1, 2, 2, 4, 3, 3, 1, 4, 0, 0, 2, 1, 2, 3, 1, 1, 4, 3, 1, 3, 4, 0, 3, 4, 2, 0, 0, 2, 1, 2, 0, 0, 4, 4, 4, 2, 3, 0, 1, 0, 4, 0, 1, 3, 3, 3, 2, 1, 1, 3, 1, 1, 3, 4, 4, 3, 2, 1, 1, 3, 3, 1, 0, 2, 3, 0, 0, 1, 4, 2, 2, 2, 0, 4, 1, 1, 2, 4, 1, 4, 0, 3, 0, 1, 4, 0, 3, 0, 2, 3, 2, 3, 0, 2, 4]
pubkeycol852 = [1, 3, 2, 1, 0, 1, 3, 2, 2, 1, 0, 3, 4, 4, 1, 1, 2, 3, 4, 2, 0, 4, 3, 3, 4, 1, 1, 3, 3, 1, 2, 3, 0, 1, 3, 3, 4, 2, 3, 0, 0, 3, 1, 4, 2, 3, 1, 3, 0, 4, 2, 3, 0, 4, 1, 4, 2, 1, 4, 2, 0, 3, 2, 3, 3, 2, 4, 3, 2, 3, 0, 3, 1, 0, 4, 4, 2, 2, 4, 3, 2, 1, 2, 3, 4, 3, 3, 3, 2, 3, 4, 0, 4, 3, 3, 2, 1, 3, 3, 3, 0, 0, 0, 1, 3, 4, 1, 2, 3, 3, 4, 2, 4, 1, 0, 4, 2, 3, 2, 1, 2, 1, 0, 3, 0, 1, 4, 1, 1, 4, 2, 0, 3, 3, 0, 3, 4, 3, 4, 1, 2, 4, 2, 3, 2, 4, 3, 1, 0, 0, 2, 2, 4, 0, 4, 3, 4, 1, 1, 0, 2, 1, 4, 4, 0, 0, 1, 1, 0, 2, 3, 4, 0, 0, 0, 2, 3, 4, 4, 0, 0, 3, 1, 2, 2, 4, 0, 3, 3, 0, 2, 3, 0, 4, 2, 0, 0, 4, 2, 2, 2, 4, 4, 3, 1, 3, 2, 0, 0, 0, 4, 2, 0, 3, 0, 3, 1, 1, 3, 0, 4, 2, 0, 4, 2, 4, 1, 0, 2, 0, 4, 3, 3, 2, 2, 2, 2, 1, 4, 1, 4, 0, 1, 0, 2, 1, 1, 3, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 4, 4, 4, 3, 3, 4, 4, 3, 1, 0, 0, 0, 1, 3, 3, 3, 2, 1, 0, 4, 4, 3, 1, 1, 0, 3, 4, 3, 2, 3, 3, 2, 2, 2, 0, 0, 2, 4, 0, 2, 1, 1, 2, 1, 0, 4, 3, 1, 1, 3, 3, 4, 0, 1, 1, 2, 2, 0, 2, 3, 0, 2, 0, 4, 3, 3, 1, 1, 3, 4, 2, 3, 3, 0, 0, 1, 2, 0, 0, 4, 1, 1, 2, 0, 3, 4, 3, 2, 2, 4, 3, 4, 1, 0, 2, 4, 1, 2, 2, 0, 1, 4, 3, 3, 1, 1, 4, 4, 3, 0, 0, 2, 0, 1, 2, 2, 0, 3, 4, 3, 1, 3, 3, 4, 2, 0, 2, 2, 2, 1, 2, 1, 4, 3, 4, 0, 4, 2, 1, 0, 3, 2, 1, 3, 4, 0, 2, 4, 1, 3, 1, 3, 0, 0, 1, 2, 1, 0, 3, 1, 1, 3, 1, 4, 2, 4, 1, 2, 3, 0, 3, 1, 2, 4, 4, 4, 1, 1, 1, 0, 2, 1, 4, 2, 0, 4, 4, 1, 4, 3, 2, 2, 0, 0, 4, 2, 4, 4, 3, 2, 4, 3, 4, 1, 1, 2, 3, 0, 4, 4, 3, 1, 4, 1, 2, 1, 2, 1, 2, 4, 0, 0, 3, 1, 0, 1, 1, 1, 1, 0, 3, 0, 1, 4, 4, 0, 3, 4, 3, 4, 4, 0, 4, 1, 3, 2]
pubkeycol853 = [2, 4, 4, 4, 4, 4, 2, 3, 4, 4, 3, 0, 1, 2, 2, 2, 3, 3, 0, 1, 1, 1, 1, 4, 4, 2, 3, 2, 2, 1, 0, 4, 0, 2, 0, 3, 4, 4, 0, 0, 4, 2, 4, 2, 3, 4, 3, 3, 1, 3, 3, 4, 3, 4, 2, 3, 4, 2, 1, 2, 2, 1, 3, 3, 4, 0, 1, 3, 2, 2, 1, 1, 2, 4, 1, 3, 1, 0, 3, 0, 1, 4, 2, 0, 4, 3, 2, 2, 2, 4, 2, 1, 3, 0, 0, 1, 4, 3, 1, 2, 4, 0, 4, 2, 3, 2, 3, 3, 0, 0, 2, 1, 1, 2, 2, 0, 2, 4, 0, 2, 0, 0, 1, 1, 3, 3, 1, 2, 0, 2, 1, 4, 1, 0, 3, 2, 1, 1, 4, 3, 4, 4, 2, 4, 1, 3, 0, 2, 3, 2, 3, 2, 1, 2, 0, 2, 2, 2, 4, 4, 1, 3, 3, 3, 3, 3, 2, 2, 1, 4, 3, 1, 3, 0, 3, 4, 4, 3, 0, 2, 3, 1, 3, 2, 0, 2, 2, 4, 3, 3, 0, 0, 2, 0, 2, 0, 0, 2, 1, 4, 2, 2, 2, 1, 0, 4, 3, 0, 4, 0, 1, 1, 4, 0, 2, 0, 3, 1, 1, 2, 1, 4, 2, 2, 4, 0, 2, 3, 3, 1, 2, 3, 0, 0, 0, 1, 0, 2, 0, 0, 3, 1, 1, 4, 3, 3, 0, 0, 0, 0, 1, 0, 0, 3, 2, 4, 3, 1, 4, 2, 1, 2, 3, 4, 2, 2, 3, 2, 0, 2, 0, 4, 4, 2, 0, 3, 1, 2, 2, 4, 2, 4, 4, 0, 2, 3, 4, 1, 4, 1, 2, 2, 0, 3, 4, 3, 1, 1, 2, 0, 1, 0, 2, 1, 2, 4, 1, 2, 4, 3, 2, 1, 0, 2, 0, 0, 4, 4, 0, 4, 3, 2, 3, 3, 1, 0, 0, 0, 1, 4, 1, 2, 4, 3, 2, 2, 4, 4, 0, 3, 4, 0, 0, 1, 4, 0, 2, 1, 2, 0, 2, 1, 0, 3, 2, 1, 4, 3, 0, 4, 1, 1, 1, 3, 3, 2, 4, 0, 0, 3, 4, 4, 3, 0, 1, 4, 3, 0, 3, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 3, 2, 4, 3, 0, 3, 3, 1, 2, 4, 0, 3, 2, 3, 1, 3, 2, 1, 4, 2, 0, 4, 1, 0, 4, 3, 2, 1, 3, 4, 2, 1, 3, 3, 0, 0, 3, 4, 4, 3, 0, 3, 2, 3, 1, 0, 0, 3, 1, 3, 1, 4, 2, 1, 3, 3, 3, 4, 1, 0, 4, 1, 2, 2, 0, 1, 4, 4, 0, 4, 2, 3, 2, 2, 1, 3, 1, 1, 4, 0, 1, 4, 4, 0, 2, 2, 0, 2, 4, 0, 2, 3, 1, 3, 1, 4, 1, 4, 2, 3, 2, 2, 3, 2, 2, 4, 2, 2, 2, 0, 1, 2, 1, 0, 1]
pubkeycol854 = [2, 4, 1, 3, 4, 4, 0, 4, 1, 3, 2, 3, 4, 1, 4, 1, 4, 3, 2, 0, 2, 0, 3, 2, 1, 0, 2, 2, 1, 1, 3, 1, 3, 4, 2, 1, 2, 4, 3, 0, 2, 2, 4, 0, 0, 1, 1, 3, 4, 3, 3, 1, 1, 3, 4, 0, 2, 2, 4, 3, 1, 1, 0, 4, 1, 0, 4, 3, 3, 1, 2, 0, 3, 2, 0, 4, 3, 3, 2, 0, 0, 3, 2, 2, 2, 1, 3, 2, 4, 4, 1, 1, 1, 4, 3, 2, 4, 2, 4, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 4, 4, 1, 1, 4, 0, 1, 2, 2, 2, 4, 2, 3, 4, 2, 0, 3, 4, 4, 0, 2, 4, 2, 0, 3, 0, 1, 2, 3, 2, 2, 3, 0, 2, 4, 2, 3, 4, 0, 2, 3, 4, 1, 0, 2, 2, 4, 3, 2, 3, 0, 4, 4, 1, 2, 3, 0, 0, 3, 1, 1, 3, 0, 2, 4, 4, 0, 0, 2, 1, 1, 3, 4, 4, 4, 1, 2, 1, 3, 3, 3, 2, 4, 2, 1, 3, 2, 3, 3, 3, 1, 1, 2, 2, 4, 2, 2, 0, 0, 0, 4, 1, 0, 2, 0, 4, 0, 1, 4, 1, 2, 0, 4, 1, 1, 2, 0, 3, 4, 1, 0, 3, 2, 2, 2, 4, 2, 1, 2, 0, 3, 3, 1, 4, 0, 0, 3, 3, 4, 1, 2, 4, 0, 2, 0, 3, 3, 3, 1, 2, 2, 1, 4, 4, 0, 1, 4, 1, 2, 2, 2, 1, 3, 1, 2, 4, 2, 4, 1, 3, 0, 2, 2, 3, 3, 1, 3, 0, 0, 0, 4, 0, 2, 0, 0, 3, 0, 4, 2, 4, 4, 1, 3, 2, 4, 0, 2, 0, 2, 2, 3, 4, 1, 0, 2, 3, 1, 4, 0, 2, 3, 4, 4, 1, 3, 1, 4, 2, 4, 4, 4, 1, 3, 1, 2, 4, 0, 1, 1, 0, 2, 1, 4, 2, 4, 3, 3, 0, 1, 4, 1, 1, 1, 1, 1, 3, 4, 0, 3, 1, 0, 0, 1, 0, 4, 1, 3, 4, 2, 3, 4, 2, 2, 0, 0, 3, 0, 2, 1, 0, 4, 3, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 4, 3, 3, 2, 3, 1, 0, 0, 1, 4, 2, 4, 0, 1, 3, 3, 3, 0, 2, 0, 1, 0, 2, 2, 4, 3, 2, 2, 3, 3, 3, 3, 0, 1, 0, 0, 3, 1, 0, 0, 2, 2, 1, 4, 4, 4, 0, 3, 1, 1, 2, 4, 4, 2, 4, 4, 0, 4, 2, 4, 2, 0, 3, 2, 0, 3, 3, 1, 2, 2, 2, 2, 4, 3, 3, 1, 0, 0, 3, 4, 3, 2, 1, 1, 0, 3, 1, 2, 2, 0, 4, 3, 4, 2, 4, 4, 1, 4, 2, 4, 2, 2, 4, 3, 3, 0, 1, 3, 0, 1, 2, 1, 0]
pubkeycol855 = [1, 2, 4, 1, 1, 3, 4, 2, 4, 4, 4, 1, 1, 2, 4, 0, 0, 0, 2, 3, 1, 3, 3, 3, 2, 0, 3, 3, 0, 2, 4, 1, 2, 4, 1, 2, 3, 3, 2, 0, 2, 2, 4, 2, 0, 2, 1, 0, 2, 0, 3, 4, 0, 4, 4, 0, 3, 1, 1, 3, 4, 2, 1, 2, 3, 3, 2, 0, 1, 0, 3, 4, 4, 2, 1, 4, 1, 3, 0, 2, 0, 3, 4, 2, 1, 3, 4, 1, 4, 4, 2, 0, 3, 0, 1, 4, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 1, 1, 1, 3, 0, 1, 2, 2, 2, 4, 0, 0, 2, 2, 4, 0, 3, 0, 0, 4, 1, 4, 0, 4, 1, 4, 0, 3, 1, 3, 3, 2, 3, 4, 0, 3, 3, 4, 4, 4, 2, 1, 2, 1, 4, 1, 2, 0, 0, 0, 2, 0, 2, 3, 3, 0, 1, 3, 4, 2, 2, 1, 1, 1, 3, 3, 4, 1, 2, 0, 0, 3, 2, 1, 2, 3, 1, 3, 3, 3, 1, 3, 3, 3, 2, 1, 4, 0, 3, 1, 2, 2, 2, 2, 3, 4, 0, 3, 2, 0, 0, 0, 1, 1, 3, 1, 2, 4, 1, 0, 1, 0, 3, 2, 2, 4, 3, 4, 3, 3, 4, 1, 3, 1, 3, 1, 2, 2, 3, 3, 4, 0, 2, 3, 0, 4, 1, 1, 2, 3, 3, 3, 1, 1, 4, 2, 2, 2, 2, 3, 0, 1, 3, 0, 0, 1, 1, 0, 3, 0, 1, 1, 4, 1, 1, 2, 1, 0, 2, 0, 3, 2, 1, 0, 1, 1, 2, 0, 4, 4, 2, 1, 2, 4, 2, 3, 1, 1, 0, 3, 0, 4, 1, 3, 4, 4, 4, 0, 4, 3, 0, 3, 4, 1, 1, 3, 3, 4, 1, 2, 1, 4, 4, 3, 1, 4, 2, 4, 0, 2, 3, 4, 4, 4, 4, 0, 4, 3, 2, 1, 1, 1, 3, 3, 1, 0, 1, 0, 3, 0, 1, 3, 1, 0, 4, 1, 3, 1, 2, 4, 3, 1, 1, 3, 0, 0, 4, 1, 4, 2, 4, 1, 3, 4, 2, 1, 1, 1, 2, 3, 2, 3, 4, 0, 0, 1, 3, 1, 1, 1, 1, 0, 4, 3, 3, 4, 0, 2, 4, 3, 2, 2, 0, 2, 2, 2, 0, 0, 4, 0, 0, 0, 1, 2, 4, 0, 3, 3, 3, 3, 2, 4, 2, 1, 1, 2, 3, 2, 1, 1, 2, 1, 4, 1, 2, 1, 3, 1, 0, 3, 1, 4, 4, 2, 3, 4, 0, 0, 3, 0, 1, 0, 3, 0, 2, 2, 4, 2, 2, 0, 2, 0, 4, 4, 3, 0, 4, 2, 3, 2, 0, 3, 4, 0, 4, 4, 0, 0, 3, 3, 3, 4, 0, 1, 4, 4, 4, 0, 4, 2, 1, 3, 3, 1, 4, 2, 2, 3, 2, 0, 3, 3, 2, 4, 4, 2, 2, 2, 0]
pubkeycol856 = [4, 2, 4, 0, 2, 1, 0, 0, 1, 3, 2, 4, 1, 4, 4, 1, 0, 1, 3, 2, 1, 3, 2, 1, 2, 0, 1, 1, 4, 0, 1, 4, 0, 2, 4, 3, 1, 4, 0, 0, 0, 3, 0, 2, 4, 2, 4, 1, 0, 3, 3, 1, 1, 1, 1, 3, 4, 2, 0, 3, 0, 1, 3, 3, 2, 3, 4, 1, 0, 4, 1, 3, 2, 4, 2, 1, 2, 3, 1, 3, 1, 0, 2, 1, 0, 0, 2, 2, 3, 3, 1, 3, 0, 2, 0, 3, 1, 3, 4, 1, 2, 4, 0, 3, 3, 2, 3, 0, 2, 4, 3, 3, 0, 0, 2, 1, 0, 4, 0, 3, 1, 3, 4, 2, 0, 2, 0, 3, 1, 0, 1, 3, 2, 3, 2, 2, 3, 1, 2, 3, 3, 1, 1, 3, 1, 4, 1, 0, 1, 4, 2, 0, 1, 2, 1, 1, 2, 4, 3, 4, 0, 1, 3, 4, 2, 3, 3, 3, 2, 1, 4, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 4, 4, 0, 4, 0, 3, 4, 2, 3, 2, 4, 0, 1, 4, 0, 2, 2, 4, 2, 3, 1, 4, 1, 4, 3, 4, 2, 3, 1, 1, 2, 3, 3, 2, 3, 1, 4, 4, 3, 4, 4, 3, 3, 3, 2, 2, 3, 3, 1, 4, 4, 2, 1, 3, 2, 0, 0, 1, 4, 2, 2, 4, 3, 2, 2, 1, 1, 1, 1, 4, 4, 0, 1, 0, 1, 1, 2, 0, 1, 3, 3, 4, 1, 3, 4, 0, 3, 3, 2, 4, 1, 1, 2, 4, 0, 0, 1, 0, 1, 4, 1, 4, 2, 4, 0, 2, 1, 0, 2, 0, 4, 3, 1, 1, 4, 3, 2, 4, 1, 3, 4, 2, 1, 1, 2, 2, 3, 4, 4, 2, 4, 1, 0, 3, 0, 0, 1, 2, 3, 1, 4, 4, 1, 2, 0, 3, 4, 3, 2, 2, 3, 2, 3, 1, 3, 4, 2, 3, 0, 1, 2, 1, 4, 1, 3, 4, 3, 0, 0, 1, 0, 4, 4, 3, 4, 3, 3, 2, 2, 1, 3, 2, 2, 0, 4, 2, 3, 3, 4, 0, 1, 1, 1, 4, 3, 3, 1, 1, 4, 2, 3, 3, 2, 2, 2, 2, 1, 0, 0, 4, 1, 0, 2, 4, 1, 0, 0, 4, 2, 3, 4, 0, 2, 4, 3, 1, 2, 1, 0, 3, 3, 4, 4, 0, 2, 3, 2, 0, 0, 0, 1, 3, 2, 4, 4, 4, 4, 3, 3, 4, 0, 3, 1, 4, 2, 4, 4, 4, 3, 3, 2, 3, 4, 0, 0, 0, 2, 1, 3, 4, 0, 2, 4, 0, 1, 0, 1, 4, 3, 4, 1, 1, 1, 0, 0, 0, 2, 0, 2, 3, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 4, 0, 3, 3, 0, 0, 3, 2, 2, 3, 0, 3, 2, 1, 0, 4, 4]
pubkeycol857 = [4, 3, 4, 1, 2, 4, 3, 4, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 3, 3, 4, 4, 2, 0, 3, 0, 1, 4, 4, 2, 2, 0, 4, 2, 2, 4, 2, 1, 3, 4, 4, 3, 1, 3, 2, 0, 4, 2, 2, 4, 1, 3, 1, 3, 2, 3, 3, 2, 4, 0, 0, 2, 4, 1, 4, 1, 0, 2, 0, 3, 1, 3, 2, 0, 0, 0, 1, 4, 3, 2, 2, 0, 1, 4, 0, 2, 2, 0, 4, 1, 2, 1, 1, 0, 0, 0, 1, 2, 3, 0, 3, 4, 0, 2, 0, 1, 2, 0, 4, 1, 0, 3, 1, 4, 2, 3, 3, 2, 4, 3, 3, 1, 3, 4, 0, 4, 1, 1, 3, 1, 2, 4, 4, 4, 1, 3, 3, 0, 2, 2, 4, 1, 0, 4, 3, 4, 2, 4, 2, 4, 3, 2, 1, 2, 2, 2, 1, 1, 4, 0, 3, 1, 4, 4, 3, 4, 1, 1, 0, 0, 3, 1, 2, 2, 4, 3, 0, 0, 0, 2, 0, 4, 1, 0, 1, 2, 1, 1, 0, 0, 3, 0, 2, 4, 3, 3, 1, 4, 2, 1, 4, 4, 2, 1, 2, 1, 4, 1, 1, 2, 4, 1, 0, 3, 2, 3, 4, 2, 0, 1, 0, 1, 2, 4, 0, 2, 1, 4, 1, 0, 1, 1, 0, 0, 0, 1, 4, 0, 1, 2, 4, 3, 0, 3, 0, 4, 2, 2, 2, 0, 2, 0, 0, 2, 4, 3, 1, 3, 3, 3, 1, 2, 3, 3, 1, 4, 3, 4, 2, 4, 0, 4, 2, 4, 4, 3, 2, 1, 0, 1, 2, 4, 2, 3, 1, 2, 2, 3, 3, 1, 3, 0, 4, 2, 4, 0, 2, 2, 0, 1, 1, 4, 4, 3, 4, 2, 2, 1, 3, 0, 4, 0, 0, 0, 1, 2, 4, 2, 2, 0, 4, 0, 0, 3, 4, 3, 0, 2, 1, 2, 3, 1, 0, 3, 2, 0, 2, 0, 2, 0, 2, 1, 4, 3, 1, 0, 1, 2, 2, 3, 3, 1, 0, 2, 2, 3, 1, 2, 1, 4, 3, 0, 2, 1, 0, 4, 1, 3, 3, 4, 1, 3, 4, 1, 3, 0, 2, 0, 3, 2, 0, 3, 2, 1, 2, 1, 2, 0, 1, 0, 3, 4, 1, 3, 4, 1, 3, 1, 0, 2, 2, 4, 0, 2, 2, 2, 4, 4, 3, 3, 4, 4, 1, 4, 1, 4, 2, 2, 3, 0, 4, 3, 2, 1, 0, 1, 2, 3, 0, 2, 0, 4, 0, 2, 4, 0, 3, 1, 4, 1, 0, 2, 1, 4, 3, 2, 3, 1, 2, 3, 2, 0, 0, 3, 1, 0, 0, 3, 4, 1, 2, 2, 0, 2, 4, 3, 2, 1, 2, 3, 1, 1, 1, 4, 0, 4, 1, 2, 4, 1, 0, 1, 3, 1, 2, 2, 3, 4, 0, 2, 4, 4, 1, 3, 1, 1, 1, 1, 1, 4, 2, 0, 4]
pubkeycol858 = [1, 3, 3, 4, 1, 4, 1, 3, 2, 1, 1, 2, 0, 4, 0, 4, 0, 1, 1, 3, 2, 3, 4, 3, 2, 0, 4, 4, 0, 1, 3, 1, 3, 1, 3, 4, 4, 3, 2, 4, 3, 0, 1, 1, 4, 0, 2, 4, 1, 0, 2, 4, 4, 0, 2, 4, 0, 4, 4, 0, 2, 2, 2, 1, 3, 0, 2, 4, 4, 1, 2, 0, 0, 2, 3, 0, 0, 4, 4, 0, 1, 2, 0, 0, 2, 2, 1, 4, 1, 4, 3, 2, 2, 4, 0, 4, 2, 2, 2, 2, 4, 3, 4, 2, 4, 2, 2, 2, 4, 1, 4, 2, 3, 1, 2, 1, 4, 4, 0, 4, 4, 2, 3, 4, 3, 2, 2, 1, 0, 4, 3, 0, 0, 1, 4, 3, 0, 2, 0, 2, 3, 1, 2, 1, 4, 0, 2, 1, 0, 0, 3, 4, 0, 2, 3, 3, 0, 4, 0, 4, 2, 1, 0, 0, 2, 1, 4, 1, 4, 0, 0, 4, 2, 4, 3, 0, 0, 3, 3, 1, 3, 2, 0, 3, 3, 0, 0, 4, 1, 2, 3, 2, 2, 0, 3, 4, 4, 0, 1, 2, 1, 0, 3, 3, 2, 4, 4, 0, 3, 0, 2, 1, 3, 0, 1, 2, 4, 2, 2, 3, 0, 1, 1, 1, 1, 2, 2, 3, 3, 2, 1, 3, 2, 4, 1, 2, 2, 2, 3, 3, 0, 4, 1, 0, 3, 0, 4, 1, 1, 1, 0, 1, 1, 3, 2, 2, 1, 2, 0, 1, 4, 3, 1, 2, 0, 2, 3, 3, 1, 2, 2, 0, 3, 4, 1, 3, 0, 0, 2, 1, 1, 1, 0, 1, 1, 4, 4, 4, 2, 2, 3, 0, 0, 3, 1, 1, 0, 1, 4, 4, 3, 1, 1, 2, 3, 4, 0, 0, 4, 1, 0, 4, 2, 2, 2, 0, 2, 1, 1, 1, 3, 3, 4, 2, 1, 4, 2, 2, 4, 2, 4, 2, 4, 0, 3, 3, 4, 0, 2, 2, 1, 0, 3, 0, 1, 4, 2, 0, 4, 1, 4, 4, 3, 3, 4, 0, 2, 2, 1, 2, 4, 0, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 4, 3, 2, 1, 0, 2, 1, 3, 0, 4, 0, 2, 3, 3, 1, 4, 1, 3, 1, 1, 2, 4, 3, 0, 0, 4, 3, 2, 4, 1, 3, 3, 2, 3, 1, 1, 4, 3, 4, 3, 1, 2, 1, 2, 0, 1, 4, 1, 2, 4, 4, 2, 4, 1, 0, 4, 3, 1, 3, 2, 2, 3, 2, 1, 1, 4, 1, 0, 1, 2, 1, 0, 3, 3, 4, 0, 2, 2, 0, 2, 0, 4, 0, 2, 0, 0, 1, 2, 4, 2, 3, 4, 0, 0, 4, 3, 3, 4, 2, 0, 1, 0, 0, 1, 1, 3, 2, 3, 4, 4, 4, 0, 1, 2, 3, 3, 0, 3, 1, 2, 1, 0, 1, 0, 3, 2, 2, 3, 2, 0, 2, 0, 2]
pubkeycol859 = [0, 3, 3, 2, 2, 3, 2, 2, 3, 1, 3, 0, 2, 0, 1, 3, 2, 1, 3, 4, 1, 1, 4, 0, 0, 2, 0, 4, 2, 4, 0, 0, 0, 4, 1, 2, 4, 1, 0, 4, 1, 3, 4, 3, 0, 0, 4, 4, 3, 3, 3, 3, 4, 3, 0, 0, 0, 4, 4, 3, 3, 1, 3, 2, 3, 4, 3, 2, 3, 2, 1, 3, 0, 3, 3, 2, 3, 1, 3, 4, 0, 2, 0, 3, 2, 0, 0, 1, 1, 1, 0, 2, 3, 2, 2, 4, 1, 0, 0, 4, 0, 0, 1, 3, 1, 0, 2, 3, 4, 0, 2, 1, 0, 3, 1, 1, 0, 4, 3, 3, 0, 1, 0, 2, 2, 1, 4, 3, 4, 2, 1, 0, 1, 3, 3, 2, 2, 1, 0, 0, 1, 1, 2, 1, 4, 1, 3, 3, 2, 1, 4, 1, 1, 4, 3, 1, 4, 3, 2, 2, 1, 0, 0, 4, 3, 2, 0, 2, 1, 4, 2, 4, 2, 2, 2, 1, 3, 2, 4, 0, 2, 1, 1, 3, 1, 3, 0, 0, 1, 3, 1, 1, 3, 1, 1, 4, 4, 2, 2, 2, 4, 3, 0, 4, 2, 3, 4, 1, 3, 0, 1, 3, 0, 0, 2, 1, 4, 4, 1, 3, 4, 0, 1, 2, 1, 1, 4, 0, 1, 3, 3, 0, 4, 1, 4, 1, 0, 0, 0, 2, 1, 1, 3, 4, 4, 2, 3, 3, 1, 1, 0, 1, 0, 1, 1, 1, 2, 3, 3, 1, 3, 2, 2, 2, 2, 3, 1, 3, 1, 1, 0, 3, 4, 1, 4, 2, 0, 2, 2, 3, 4, 1, 0, 3, 4, 4, 1, 1, 1, 4, 4, 0, 1, 2, 2, 2, 1, 2, 2, 4, 0, 0, 3, 1, 2, 3, 2, 4, 1, 3, 0, 0, 3, 4, 4, 0, 2, 2, 3, 3, 0, 2, 3, 3, 0, 0, 1, 1, 3, 0, 4, 1, 2, 0, 2, 2, 0, 3, 2, 3, 0, 2, 4, 2, 2, 2, 1, 3, 1, 4, 0, 3, 1, 0, 0, 4, 1, 2, 2, 4, 0, 1, 2, 0, 4, 3, 3, 2, 0, 1, 1, 0, 2, 3, 0, 2, 3, 2, 0, 3, 2, 1, 1, 3, 2, 2, 2, 4, 4, 1, 2, 1, 1, 1, 0, 0, 0, 3, 1, 4, 0, 1, 2, 0, 2, 2, 1, 0, 4, 1, 1, 0, 0, 0, 0, 0, 0, 4, 4, 0, 3, 0, 1, 1, 3, 2, 4, 2, 2, 0, 4, 2, 1, 4, 0, 3, 4, 3, 4, 3, 4, 0, 0, 4, 3, 1, 3, 4, 3, 2, 0, 0, 3, 3, 3, 3, 1, 0, 2, 3, 3, 2, 3, 2, 3, 3, 0, 0, 0, 1, 3, 3, 4, 0, 2, 2, 3, 0, 0, 4, 3, 0, 0, 4, 0, 0, 3, 0, 3, 3, 2, 3, 4, 2, 4, 0, 3, 0, 3, 3, 3, 4, 0, 1, 3]
pubkeycol860 = [2, 2, 1, 4, 1, 0, 4, 3, 3, 0, 2, 3, 0, 3, 2, 1, 3, 1, 4, 4, 3, 3, 1, 0, 2, 2, 4, 4, 4, 4, 3, 2, 3, 0, 0, 0, 4, 4, 4, 3, 1, 1, 3, 4, 0, 2, 4, 1, 3, 3, 1, 4, 3, 2, 3, 3, 3, 3, 2, 1, 2, 3, 0, 3, 3, 0, 3, 2, 4, 4, 4, 2, 4, 0, 3, 3, 4, 4, 1, 2, 3, 2, 4, 1, 4, 3, 2, 0, 2, 2, 1, 4, 4, 4, 0, 2, 2, 1, 2, 2, 1, 4, 0, 4, 2, 2, 0, 3, 1, 2, 4, 4, 3, 2, 4, 4, 4, 4, 3, 0, 4, 1, 2, 0, 2, 4, 2, 0, 2, 0, 4, 2, 2, 1, 4, 4, 1, 2, 2, 2, 4, 0, 2, 0, 3, 3, 1, 2, 1, 4, 1, 4, 0, 2, 4, 3, 4, 0, 2, 0, 3, 1, 2, 1, 2, 0, 2, 4, 4, 0, 4, 4, 4, 3, 1, 2, 3, 0, 2, 2, 2, 2, 0, 2, 1, 0, 4, 0, 4, 2, 4, 1, 4, 4, 3, 3, 1, 3, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 3, 3, 0, 0, 2, 4, 1, 2, 0, 4, 3, 1, 2, 2, 0, 2, 3, 4, 0, 1, 0, 3, 2, 4, 2, 4, 3, 3, 2, 0, 4, 3, 4, 3, 1, 0, 2, 4, 2, 4, 0, 4, 3, 3, 1, 3, 2, 4, 3, 0, 1, 4, 3, 2, 1, 0, 3, 3, 1, 1, 4, 0, 4, 3, 1, 2, 2, 1, 1, 4, 0, 2, 0, 1, 2, 0, 3, 4, 2, 4, 0, 3, 2, 0, 2, 0, 3, 1, 2, 1, 0, 0, 2, 4, 1, 2, 3, 3, 3, 2, 3, 4, 2, 1, 2, 2, 2, 3, 2, 3, 3, 0, 4, 3, 1, 1, 3, 4, 2, 2, 1, 4, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 4, 0, 3, 4, 0, 1, 3, 1, 4, 2, 4, 2, 3, 0, 1, 3, 0, 3, 4, 3, 3, 1, 1, 3, 0, 2, 2, 2, 2, 2, 3, 2, 4, 3, 4, 3, 1, 3, 2, 2, 3, 1, 3, 1, 4, 4, 4, 3, 0, 4, 0, 0, 2, 4, 1, 2, 0, 2, 1, 2, 2, 4, 3, 3, 4, 4, 0, 1, 2, 3, 1, 2, 0, 2, 1, 1, 2, 2, 3, 3, 2, 1, 3, 3, 0, 2, 3, 3, 4, 3, 0, 2, 1, 2, 4, 0, 4, 2, 0, 1, 1, 0, 3, 2, 0, 4, 2, 0, 2, 0, 3, 4, 2, 4, 3, 4, 4, 4, 1, 1, 4, 1, 3, 3, 4, 4, 4, 2, 0, 3, 2, 1, 2, 0, 2, 0, 1, 4, 4, 4, 4, 0, 3, 3, 0, 2, 1, 0, 2, 3, 0, 4, 1, 1, 4, 2, 2, 2, 3, 3, 1]
pubkeycol861 = [1, 0, 3, 3, 0, 0, 3, 2, 4, 0, 1, 1, 4, 4, 3, 4, 0, 0, 2, 3, 2, 2, 0, 3, 3, 3, 3, 1, 1, 1, 1, 2, 0, 1, 0, 1, 4, 2, 3, 4, 2, 4, 2, 2, 2, 3, 2, 1, 0, 3, 3, 1, 2, 4, 4, 1, 3, 3, 2, 4, 0, 4, 3, 3, 3, 3, 3, 2, 2, 4, 2, 3, 1, 4, 2, 0, 4, 2, 1, 4, 1, 1, 3, 3, 2, 0, 4, 4, 0, 3, 1, 1, 3, 0, 3, 2, 4, 3, 3, 3, 2, 1, 2, 0, 3, 0, 0, 2, 1, 0, 2, 1, 2, 2, 3, 2, 1, 0, 3, 0, 2, 4, 3, 0, 4, 0, 2, 4, 2, 1, 2, 2, 3, 2, 0, 3, 3, 4, 0, 2, 4, 1, 0, 4, 4, 0, 3, 4, 1, 2, 3, 4, 2, 2, 2, 1, 3, 4, 1, 0, 4, 0, 3, 4, 4, 0, 2, 3, 0, 1, 1, 1, 4, 4, 2, 4, 0, 3, 0, 3, 0, 4, 4, 1, 1, 2, 3, 4, 2, 2, 4, 0, 4, 1, 2, 3, 2, 2, 2, 2, 1, 3, 2, 2, 1, 1, 3, 0, 3, 1, 4, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 3, 0, 1, 2, 3, 4, 1, 0, 3, 3, 2, 2, 4, 2, 3, 0, 2, 2, 4, 1, 4, 1, 2, 4, 0, 4, 4, 4, 3, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 2, 3, 0, 4, 2, 4, 4, 0, 2, 2, 1, 2, 3, 2, 3, 3, 0, 4, 4, 0, 4, 2, 2, 3, 3, 1, 0, 4, 3, 4, 4, 0, 3, 3, 4, 3, 2, 3, 3, 0, 0, 2, 3, 4, 0, 1, 0, 4, 1, 1, 2, 0, 3, 4, 1, 1, 1, 1, 2, 1, 3, 4, 2, 3, 4, 4, 4, 0, 1, 3, 3, 0, 4, 0, 1, 3, 2, 1, 3, 1, 0, 2, 0, 4, 1, 4, 1, 3, 1, 2, 1, 2, 1, 1, 0, 0, 4, 3, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 4, 0, 1, 0, 4, 0, 0, 2, 3, 0, 1, 0, 2, 0, 0, 1, 4, 3, 1, 0, 0, 1, 1, 0, 1, 4, 3, 1, 3, 2, 2, 0, 0, 3, 4, 2, 0, 3, 4, 3, 3, 3, 3, 1, 3, 1, 3, 3, 3, 3, 1, 4, 0, 0, 4, 4, 0, 0, 1, 4, 4, 1, 0, 0, 3, 3, 0, 3, 2, 2, 1, 2, 3, 4, 1, 2, 1, 2, 2, 3, 4, 4, 2, 2, 2, 3, 4, 2, 3, 2, 2, 4, 4, 0, 1, 4, 3, 4, 3, 3, 1, 4, 0, 0, 2, 0, 1, 3, 2, 4, 4, 1, 0, 0, 1, 1, 2, 4, 2, 2, 4, 0, 2, 4, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0]
pubkeycol862 = [1, 2, 0, 4, 2, 2, 4, 0, 0, 0, 1, 2, 2, 0, 3, 2, 4, 4, 2, 0, 0, 0, 2, 0, 0, 0, 3, 3, 0, 3, 2, 3, 1, 0, 0, 0, 0, 4, 1, 1, 4, 2, 4, 4, 2, 0, 1, 1, 1, 3, 3, 4, 4, 4, 4, 1, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 3, 4, 2, 0, 2, 0, 0, 0, 1, 4, 2, 3, 0, 0, 0, 4, 4, 1, 3, 2, 2, 2, 0, 3, 2, 0, 2, 2, 3, 2, 3, 3, 1, 0, 1, 3, 3, 4, 3, 0, 4, 4, 4, 0, 1, 1, 0, 3, 2, 4, 4, 3, 0, 4, 3, 2, 1, 1, 0, 4, 3, 1, 2, 1, 3, 4, 1, 0, 1, 4, 3, 2, 0, 2, 1, 4, 0, 2, 4, 3, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 3, 0, 2, 1, 2, 3, 1, 3, 2, 1, 3, 2, 4, 3, 3, 1, 1, 0, 1, 2, 3, 4, 4, 4, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 3, 4, 1, 4, 2, 1, 4, 3, 1, 3, 4, 4, 0, 4, 0, 1, 0, 4, 3, 2, 4, 0, 2, 3, 3, 3, 3, 4, 4, 4, 2, 2, 1, 0, 0, 3, 0, 4, 4, 2, 1, 1, 0, 2, 1, 2, 4, 1, 4, 3, 4, 4, 0, 1, 4, 4, 2, 1, 2, 1, 3, 0, 4, 0, 3, 0, 3, 2, 3, 4, 2, 1, 0, 2, 4, 3, 4, 3, 3, 4, 1, 2, 4, 4, 1, 4, 3, 1, 1, 0, 4, 1, 0, 1, 4, 3, 0, 4, 2, 4, 1, 3, 0, 3, 2, 3, 3, 4, 4, 4, 4, 4, 0, 4, 2, 2, 0, 1, 1, 1, 2, 4, 0, 4, 0, 3, 3, 2, 0, 4, 0, 4, 0, 2, 4, 4, 0, 4, 0, 1, 0, 2, 0, 2, 0, 2, 1, 3, 1, 0, 2, 4, 3, 3, 1, 4, 4, 4, 4, 0, 4, 0, 1, 1, 2, 0, 4, 1, 0, 2, 0, 4, 2, 0, 3, 1, 0, 4, 0, 2, 4, 3, 4, 0, 3, 4, 0, 2, 1, 1, 1, 3, 3, 2, 1, 0, 2, 3, 0, 3, 4, 3, 0, 4, 1, 3, 2, 2, 4, 1, 3, 1, 2, 4, 1, 1, 2, 4, 1, 1, 3, 3, 4, 1, 3, 2, 2, 1, 2, 4, 4, 4, 4, 1, 3, 0, 4, 2, 1, 0, 1, 3, 4, 1, 3, 1, 0, 2, 0, 1, 4, 1, 2, 1, 4, 0, 4, 0, 4, 4, 0, 3, 4, 1, 0, 3, 4, 0, 1, 3, 4, 2, 1, 4, 1, 1, 2, 3, 1, 3, 3, 4, 0, 1, 4, 2, 0, 1, 1, 2, 4, 4, 3, 1, 0, 1, 3, 0, 3, 3, 1, 3, 2, 4, 4, 2, 2, 1, 4, 0, 2, 3, 2]
pubkeycol863 = [0, 3, 3, 1, 3, 2, 3, 2, 1, 1, 3, 3, 1, 2, 1, 3, 3, 3, 0, 1, 1, 0, 0, 4, 3, 4, 1, 1, 0, 0, 1, 1, 4, 4, 3, 1, 0, 2, 4, 4, 1, 2, 1, 0, 1, 0, 3, 3, 3, 3, 3, 3, 0, 2, 0, 0, 1, 0, 4, 1, 3, 1, 4, 4, 0, 1, 3, 3, 1, 2, 1, 4, 4, 0, 0, 4, 4, 0, 4, 3, 1, 2, 2, 4, 3, 4, 2, 2, 1, 1, 3, 1, 4, 0, 1, 4, 2, 4, 1, 4, 1, 1, 3, 3, 0, 1, 1, 3, 0, 2, 4, 2, 0, 0, 1, 2, 1, 0, 2, 2, 4, 4, 1, 4, 4, 0, 0, 3, 1, 3, 1, 2, 3, 4, 4, 4, 4, 3, 0, 3, 1, 0, 1, 0, 3, 4, 4, 3, 2, 0, 1, 0, 4, 0, 2, 1, 1, 4, 0, 2, 4, 4, 4, 4, 4, 2, 1, 4, 1, 2, 2, 2, 1, 3, 2, 2, 0, 1, 1, 2, 3, 0, 4, 4, 3, 2, 1, 0, 0, 0, 1, 2, 2, 4, 3, 0, 0, 0, 3, 0, 2, 0, 3, 2, 1, 1, 3, 3, 0, 4, 3, 1, 0, 1, 0, 2, 0, 1, 2, 2, 4, 1, 2, 2, 0, 2, 3, 4, 1, 0, 4, 4, 3, 0, 1, 3, 4, 4, 0, 4, 4, 0, 1, 3, 0, 2, 2, 1, 1, 0, 3, 2, 1, 3, 1, 1, 3, 2, 4, 1, 0, 2, 4, 1, 3, 2, 0, 0, 3, 1, 3, 1, 4, 4, 0, 4, 3, 3, 0, 0, 3, 3, 1, 4, 0, 0, 2, 1, 2, 4, 0, 3, 2, 4, 1, 1, 2, 4, 4, 2, 3, 0, 1, 0, 0, 4, 3, 3, 4, 3, 1, 3, 3, 0, 4, 2, 3, 0, 1, 1, 3, 4, 0, 0, 3, 4, 4, 0, 2, 1, 2, 3, 4, 2, 4, 4, 0, 2, 4, 2, 4, 4, 2, 3, 0, 2, 2, 2, 3, 3, 3, 0, 0, 2, 4, 2, 0, 2, 2, 2, 0, 4, 2, 0, 3, 0, 2, 3, 4, 0, 2, 3, 3, 4, 1, 3, 3, 3, 1, 2, 4, 4, 0, 2, 2, 3, 2, 3, 0, 0, 3, 2, 2, 4, 4, 4, 3, 1, 2, 1, 1, 2, 2, 0, 3, 4, 2, 3, 1, 2, 4, 2, 0, 0, 3, 1, 1, 0, 3, 2, 3, 3, 1, 2, 1, 1, 3, 0, 2, 3, 3, 4, 0, 2, 2, 1, 1, 0, 3, 1, 0, 2, 2, 0, 2, 1, 1, 2, 3, 2, 2, 1, 2, 0, 3, 1, 2, 2, 4, 3, 2, 1, 2, 0, 4, 1, 4, 1, 1, 1, 1, 1, 2, 3, 4, 2, 0, 4, 2, 4, 2, 0, 1, 1, 1, 1, 2, 3, 3, 1, 2, 1, 2, 4, 4, 2, 0, 0, 1, 0, 4, 0, 4, 3, 3]
pubkeycol864 = [0, 4, 3, 1, 3, 1, 1, 2, 1, 2, 0, 0, 2, 1, 4, 3, 4, 4, 3, 1, 2, 4, 4, 2, 4, 1, 1, 4, 4, 0, 2, 1, 4, 1, 3, 0, 3, 1, 3, 4, 3, 3, 1, 4, 4, 0, 4, 1, 1, 3, 2, 0, 3, 0, 1, 4, 0, 2, 0, 2, 2, 0, 2, 4, 2, 4, 2, 1, 4, 3, 2, 4, 2, 2, 4, 4, 1, 4, 4, 2, 0, 3, 1, 0, 2, 2, 1, 2, 4, 1, 3, 1, 1, 3, 4, 0, 2, 1, 3, 1, 2, 4, 2, 4, 2, 0, 0, 0, 4, 4, 0, 4, 3, 0, 2, 4, 4, 1, 3, 1, 1, 3, 3, 0, 4, 1, 1, 0, 4, 2, 4, 4, 2, 4, 1, 2, 2, 0, 0, 2, 2, 1, 1, 3, 1, 1, 4, 4, 2, 3, 1, 1, 2, 0, 2, 2, 4, 0, 2, 4, 1, 3, 2, 2, 2, 0, 4, 3, 4, 3, 0, 1, 0, 3, 3, 4, 1, 2, 2, 0, 0, 2, 1, 2, 3, 0, 1, 3, 3, 2, 0, 4, 0, 2, 3, 4, 2, 1, 0, 1, 0, 1, 1, 1, 3, 2, 2, 2, 1, 0, 3, 0, 0, 0, 3, 0, 0, 4, 4, 0, 1, 2, 4, 3, 1, 1, 3, 4, 0, 0, 3, 1, 3, 0, 4, 2, 3, 4, 0, 3, 0, 4, 2, 2, 3, 4, 3, 4, 1, 4, 1, 4, 3, 1, 0, 0, 0, 1, 4, 3, 2, 0, 3, 1, 1, 2, 1, 1, 1, 1, 3, 0, 4, 2, 1, 3, 4, 2, 1, 3, 1, 1, 1, 0, 0, 3, 4, 1, 0, 2, 0, 1, 1, 1, 2, 4, 4, 3, 1, 1, 3, 4, 3, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 3, 2, 4, 2, 3, 4, 3, 3, 0, 3, 2, 4, 4, 0, 3, 2, 0, 2, 0, 4, 0, 1, 4, 4, 2, 3, 2, 3, 1, 3, 1, 2, 1, 1, 2, 1, 3, 3, 2, 0, 1, 4, 3, 3, 0, 0, 4, 0, 1, 1, 1, 3, 0, 4, 0, 2, 1, 0, 0, 3, 4, 4, 2, 4, 2, 3, 4, 1, 3, 2, 3, 3, 4, 4, 1, 0, 1, 1, 4, 3, 4, 4, 0, 4, 0, 1, 3, 0, 1, 3, 0, 4, 1, 3, 0, 3, 4, 0, 2, 4, 0, 0, 1, 2, 3, 2, 3, 1, 3, 1, 3, 1, 0, 2, 0, 0, 4, 4, 2, 1, 0, 3, 4, 4, 2, 2, 1, 0, 3, 2, 0, 2, 1, 0, 2, 0, 4, 4, 2, 1, 2, 3, 3, 0, 3, 0, 1, 2, 0, 4, 1, 1, 2, 3, 2, 1, 1, 2, 3, 2, 2, 3, 2, 1, 0, 3, 4, 0, 4, 0, 0, 4, 4, 2, 3, 0, 2, 0, 3, 2, 4, 2, 4, 0, 2, 1, 4, 4, 4, 0, 0, 3]
pubkeycol865 = [2, 1, 0, 0, 0, 2, 1, 4, 1, 0, 3, 3, 2, 0, 0, 2, 0, 3, 2, 1, 3, 0, 1, 1, 1, 2, 4, 1, 0, 3, 4, 3, 4, 1, 2, 1, 1, 1, 0, 0, 3, 4, 2, 2, 0, 3, 4, 2, 1, 3, 0, 0, 0, 3, 0, 3, 4, 4, 3, 3, 1, 4, 2, 4, 3, 2, 4, 4, 3, 3, 4, 0, 4, 2, 4, 1, 3, 0, 0, 0, 0, 1, 4, 2, 1, 3, 3, 3, 4, 3, 3, 1, 2, 4, 4, 4, 1, 3, 2, 3, 0, 1, 1, 4, 0, 2, 1, 3, 3, 1, 0, 1, 2, 4, 4, 1, 3, 4, 4, 4, 2, 1, 0, 4, 3, 4, 0, 4, 0, 3, 2, 4, 1, 3, 0, 1, 4, 0, 4, 4, 3, 0, 1, 0, 1, 3, 1, 4, 1, 0, 3, 0, 1, 2, 2, 3, 1, 4, 3, 1, 2, 3, 0, 1, 2, 0, 2, 4, 0, 3, 0, 0, 3, 4, 0, 1, 1, 3, 4, 3, 2, 0, 0, 0, 3, 1, 3, 4, 4, 3, 2, 3, 4, 4, 1, 2, 0, 3, 0, 4, 4, 4, 0, 3, 0, 4, 4, 3, 4, 4, 2, 1, 2, 3, 4, 0, 0, 2, 3, 2, 0, 0, 4, 2, 1, 4, 3, 4, 3, 2, 2, 4, 1, 3, 2, 3, 2, 3, 2, 4, 0, 2, 3, 4, 3, 3, 1, 3, 3, 4, 2, 4, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 4, 4, 1, 2, 4, 3, 3, 3, 1, 3, 3, 3, 2, 1, 0, 3, 1, 2, 1, 4, 0, 1, 2, 1, 2, 1, 0, 2, 0, 3, 3, 3, 3, 4, 0, 4, 1, 1, 4, 0, 0, 3, 0, 1, 3, 4, 3, 0, 1, 1, 1, 1, 3, 2, 1, 2, 2, 0, 4, 1, 2, 4, 3, 2, 4, 0, 1, 1, 4, 3, 3, 3, 4, 3, 1, 4, 4, 3, 4, 4, 0, 4, 3, 0, 4, 3, 4, 3, 2, 0, 2, 1, 1, 0, 4, 3, 4, 2, 0, 4, 3, 4, 0, 0, 2, 4, 2, 1, 0, 3, 3, 1, 1, 3, 1, 0, 0, 0, 3, 1, 0, 1, 1, 1, 0, 3, 1, 3, 2, 1, 1, 4, 4, 4, 4, 3, 3, 3, 1, 1, 3, 2, 2, 1, 4, 2, 2, 4, 0, 4, 1, 4, 4, 4, 0, 4, 0, 0, 4, 3, 0, 1, 0, 4, 4, 2, 3, 4, 2, 2, 2, 3, 0, 0, 3, 4, 3, 0, 2, 1, 3, 0, 2, 3, 4, 1, 3, 1, 2, 4, 4, 0, 2, 3, 1, 3, 3, 1, 4, 2, 4, 2, 3, 3, 2, 0, 3, 2, 3, 4, 0, 4, 0, 4, 1, 1, 3, 2, 4, 0, 3, 2, 4, 3, 1, 0, 1, 0, 0, 3, 3, 0, 3, 4, 1, 2, 4, 3, 0, 4, 4, 2, 2]
pubkeycol866 = [2, 4, 4, 2, 2, 1, 3, 2, 2, 4, 4, 4, 4, 2, 2, 4, 3, 2, 4, 1, 2, 3, 4, 2, 3, 0, 2, 4, 1, 0, 0, 2, 2, 3, 0, 4, 1, 3, 3, 2, 4, 4, 3, 0, 2, 4, 2, 4, 2, 4, 2, 3, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 1, 1, 2, 4, 4, 3, 4, 4, 0, 1, 0, 0, 4, 1, 3, 0, 1, 1, 1, 4, 1, 2, 0, 2, 4, 2, 0, 2, 3, 4, 3, 2, 2, 4, 1, 0, 3, 4, 0, 0, 3, 2, 1, 3, 3, 2, 2, 0, 2, 1, 2, 1, 3, 4, 2, 0, 2, 1, 4, 2, 3, 3, 3, 2, 0, 3, 3, 4, 0, 0, 1, 4, 3, 2, 0, 0, 0, 2, 4, 4, 1, 2, 3, 4, 1, 0, 0, 1, 1, 4, 0, 1, 0, 3, 1, 2, 4, 2, 4, 3, 3, 1, 1, 1, 4, 1, 2, 2, 1, 2, 0, 4, 3, 3, 1, 0, 1, 3, 4, 2, 2, 3, 0, 0, 1, 1, 3, 2, 4, 1, 3, 3, 3, 0, 1, 0, 3, 0, 3, 0, 0, 1, 4, 4, 0, 0, 0, 2, 2, 2, 0, 3, 1, 1, 0, 3, 1, 4, 2, 4, 3, 4, 3, 0, 2, 2, 4, 0, 3, 1, 1, 3, 4, 3, 1, 1, 0, 3, 3, 4, 4, 2, 0, 1, 0, 3, 1, 4, 4, 2, 4, 1, 1, 1, 2, 2, 4, 1, 4, 0, 4, 2, 4, 1, 1, 2, 0, 4, 4, 3, 2, 1, 0, 0, 2, 0, 4, 0, 4, 2, 1, 1, 1, 1, 4, 0, 3, 0, 2, 2, 0, 0, 0, 4, 2, 2, 3, 1, 1, 2, 4, 1, 2, 4, 4, 3, 2, 3, 1, 1, 4, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 3, 0, 4, 4, 4, 0, 2, 2, 2, 4, 1, 2, 3, 3, 2, 1, 0, 0, 4, 1, 3, 2, 4, 4, 1, 4, 2, 4, 4, 3, 0, 1, 1, 3, 4, 1, 3, 0, 1, 2, 4, 2, 3, 0, 0, 4, 3, 3, 1, 0, 0, 1, 0, 2, 2, 4, 0, 0, 3, 4, 2, 4, 3, 0, 1, 0, 3, 1, 4, 4, 3, 2, 1, 2, 1, 3, 0, 0, 3, 0, 2, 2, 0, 2, 3, 3, 4, 4, 1, 0, 1, 4, 0, 3, 3, 3, 3, 1, 1, 4, 4, 2, 2, 4, 0, 2, 4, 1, 0, 1, 3, 2, 1, 4, 1, 2, 0, 1, 1, 3, 4, 4, 2, 2, 3, 0, 4, 1, 0, 1, 1, 1, 3, 1, 0, 4, 3, 4, 3, 4, 3, 4, 3, 0, 2, 1, 1, 4, 1, 3, 0, 0, 4, 4, 4, 0, 3, 4, 1, 3, 4, 4, 4, 2, 4, 3, 0, 1, 3, 3, 4, 0, 4, 3, 2, 0, 1, 2, 4, 4, 3]
pubkeycol867 = [1, 0, 4, 1, 1, 4, 3, 0, 1, 3, 3, 4, 2, 2, 0, 1, 3, 2, 0, 3, 1, 2, 4, 0, 2, 4, 4, 0, 4, 4, 3, 0, 3, 3, 3, 3, 2, 0, 0, 2, 0, 4, 0, 3, 0, 1, 0, 3, 0, 4, 0, 2, 4, 1, 0, 3, 3, 4, 2, 4, 1, 1, 1, 0, 3, 4, 2, 2, 4, 0, 3, 4, 1, 3, 2, 4, 2, 2, 4, 0, 0, 2, 3, 2, 1, 1, 2, 3, 1, 1, 4, 4, 1, 3, 1, 1, 3, 2, 4, 4, 0, 3, 2, 4, 2, 3, 4, 3, 2, 2, 3, 1, 3, 0, 2, 0, 3, 2, 4, 4, 4, 1, 4, 2, 1, 3, 2, 2, 4, 2, 3, 1, 1, 4, 4, 2, 2, 2, 4, 2, 4, 1, 3, 3, 4, 3, 4, 3, 4, 0, 3, 3, 2, 2, 4, 2, 2, 0, 4, 2, 1, 0, 0, 2, 2, 2, 1, 3, 0, 0, 1, 3, 1, 3, 2, 3, 4, 1, 2, 0, 3, 4, 4, 3, 3, 2, 4, 4, 4, 4, 0, 4, 4, 0, 0, 2, 1, 3, 0, 2, 0, 4, 4, 2, 0, 2, 2, 4, 3, 3, 1, 0, 2, 3, 1, 2, 2, 4, 4, 2, 0, 3, 1, 2, 0, 0, 4, 3, 3, 1, 1, 2, 1, 2, 2, 1, 3, 4, 4, 2, 4, 3, 0, 1, 2, 4, 2, 3, 2, 4, 2, 4, 0, 0, 4, 4, 0, 1, 2, 2, 0, 1, 4, 1, 2, 4, 3, 0, 1, 3, 0, 4, 1, 3, 2, 4, 2, 2, 3, 4, 0, 4, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 1, 3, 2, 1, 0, 3, 1, 1, 0, 0, 3, 0, 2, 0, 3, 1, 2, 1, 0, 4, 3, 1, 2, 1, 4, 2, 0, 1, 2, 1, 1, 4, 0, 3, 4, 3, 3, 3, 4, 4, 2, 2, 4, 0, 1, 2, 2, 2, 4, 0, 4, 0, 4, 0, 3, 4, 2, 2, 2, 1, 0, 1, 0, 4, 2, 0, 1, 0, 3, 2, 1, 4, 2, 2, 4, 2, 4, 0, 2, 2, 1, 1, 4, 1, 3, 4, 1, 1, 0, 1, 3, 2, 4, 2, 0, 4, 1, 3, 2, 4, 0, 0, 4, 3, 4, 2, 3, 1, 4, 4, 2, 3, 1, 4, 0, 1, 4, 3, 3, 4, 0, 1, 3, 0, 2, 4, 1, 1, 2, 4, 4, 2, 3, 0, 2, 2, 4, 4, 3, 2, 4, 4, 4, 2, 3, 3, 3, 4, 1, 0, 3, 4, 4, 1, 1, 0, 3, 3, 4, 1, 2, 4, 1, 3, 0, 3, 4, 4, 2, 1, 3, 1, 1, 1, 0, 4, 3, 4, 3, 2, 3, 4, 3, 0, 1, 3, 4, 0, 1, 1, 1, 0, 4, 0, 2, 0, 0, 2, 0, 2, 4, 2]
pubkeycol868 = [1, 3, 2, 4, 4, 3, 0, 4, 1, 3, 2, 0, 0, 2, 0, 3, 1, 3, 4, 2, 2, 0, 2, 3, 0, 4, 4, 4, 2, 4, 2, 2, 3, 4, 4, 3, 2, 4, 0, 2, 2, 4, 1, 1, 2, 2, 0, 1, 4, 3, 1, 3, 3, 3, 0, 3, 4, 1, 4, 4, 4, 1, 0, 3, 3, 3, 2, 0, 2, 1, 4, 3, 0, 1, 0, 4, 1, 1, 2, 4, 2, 1, 1, 4, 1, 0, 3, 1, 4, 4, 1, 3, 3, 3, 4, 0, 2, 3, 4, 4, 1, 3, 1, 1, 1, 2, 2, 2, 3, 3, 1, 3, 1, 1, 3, 3, 3, 2, 4, 3, 3, 3, 2, 2, 4, 0, 2, 0, 3, 0, 2, 0, 0, 2, 1, 1, 4, 2, 3, 4, 1, 3, 0, 4, 0, 0, 2, 3, 1, 3, 1, 1, 3, 2, 1, 2, 3, 1, 2, 1, 3, 0, 2, 1, 0, 2, 0, 0, 4, 1, 3, 3, 1, 1, 4, 2, 0, 3, 1, 4, 4, 0, 3, 0, 2, 1, 3, 4, 2, 4, 2, 2, 1, 4, 3, 0, 1, 0, 2, 1, 1, 3, 1, 2, 2, 3, 4, 2, 0, 0, 2, 0, 3, 2, 1, 2, 2, 4, 0, 3, 2, 2, 2, 1, 2, 0, 4, 3, 3, 2, 3, 2, 4, 4, 2, 4, 0, 0, 1, 0, 1, 0, 3, 0, 3, 2, 4, 3, 4, 2, 2, 1, 3, 2, 1, 1, 4, 2, 0, 1, 4, 2, 4, 4, 0, 0, 2, 1, 4, 2, 4, 4, 2, 3, 3, 2, 2, 3, 1, 1, 1, 2, 1, 1, 3, 1, 3, 0, 0, 4, 4, 2, 0, 1, 3, 0, 4, 4, 2, 2, 2, 3, 2, 3, 2, 1, 3, 1, 0, 4, 4, 1, 4, 3, 4, 4, 0, 4, 4, 2, 1, 3, 2, 3, 4, 3, 0, 2, 4, 3, 0, 1, 0, 4, 1, 3, 3, 2, 2, 4, 4, 0, 4, 4, 1, 2, 3, 1, 3, 0, 1, 2, 3, 4, 4, 4, 3, 2, 4, 3, 3, 0, 0, 1, 3, 0, 0, 3, 2, 3, 0, 0, 4, 1, 3, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 3, 1, 2, 4, 0, 1, 0, 1, 2, 2, 4, 3, 2, 4, 0, 3, 3, 3, 2, 4, 0, 0, 2, 1, 2, 3, 0, 1, 4, 4, 2, 1, 1, 4, 4, 2, 0, 4, 3, 3, 4, 4, 2, 3, 4, 3, 3, 4, 3, 4, 2, 0, 2, 1, 4, 4, 0, 3, 2, 1, 0, 4, 0, 0, 2, 2, 0, 1, 4, 3, 0, 3, 1, 0, 0, 0, 4, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 3, 4, 3, 3, 0, 3, 4, 4, 3, 4, 3, 0, 4, 1, 4, 4, 3, 3, 2, 0]
pubkeycol869 = [3, 2, 4, 1, 0, 2, 4, 4, 4, 0, 1, 0, 1, 0, 2, 2, 4, 4, 4, 2, 4, 1, 0, 1, 4, 2, 0, 3, 3, 3, 4, 3, 1, 0, 3, 1, 1, 4, 4, 0, 4, 2, 0, 1, 2, 1, 3, 1, 2, 4, 1, 1, 4, 3, 0, 2, 2, 3, 1, 3, 4, 2, 1, 4, 3, 1, 4, 0, 4, 3, 1, 1, 0, 3, 3, 1, 1, 2, 3, 2, 0, 3, 2, 0, 2, 1, 1, 4, 3, 4, 0, 2, 4, 4, 3, 1, 2, 4, 0, 0, 3, 3, 0, 2, 3, 1, 2, 0, 4, 1, 2, 3, 1, 1, 1, 0, 0, 2, 2, 4, 0, 2, 4, 4, 3, 4, 2, 1, 2, 1, 1, 4, 3, 0, 4, 0, 4, 4, 3, 0, 0, 1, 0, 1, 4, 4, 3, 2, 2, 0, 3, 4, 2, 4, 2, 1, 3, 3, 2, 4, 1, 0, 2, 1, 0, 1, 4, 3, 4, 3, 2, 3, 1, 2, 3, 3, 4, 3, 0, 2, 4, 3, 3, 4, 1, 4, 2, 4, 2, 4, 1, 0, 1, 4, 2, 4, 1, 4, 4, 4, 0, 2, 0, 1, 2, 1, 4, 1, 4, 4, 3, 2, 3, 1, 3, 4, 1, 3, 0, 4, 1, 1, 2, 0, 0, 2, 3, 1, 2, 4, 1, 0, 4, 2, 0, 2, 0, 2, 0, 0, 3, 1, 1, 0, 0, 0, 2, 2, 3, 3, 0, 4, 3, 4, 0, 3, 3, 4, 4, 1, 1, 4, 2, 1, 2, 3, 3, 1, 0, 3, 0, 4, 1, 1, 2, 4, 0, 1, 2, 3, 4, 0, 0, 3, 0, 3, 3, 4, 3, 2, 4, 0, 4, 2, 3, 4, 3, 4, 0, 3, 1, 2, 0, 1, 4, 2, 3, 1, 1, 3, 4, 3, 0, 3, 2, 0, 2, 3, 1, 1, 3, 4, 0, 3, 1, 0, 4, 4, 2, 2, 2, 1, 0, 2, 0, 1, 3, 2, 3, 3, 1, 4, 2, 4, 4, 4, 2, 4, 3, 2, 3, 3, 1, 3, 0, 3, 3, 4, 3, 0, 2, 4, 4, 0, 0, 3, 1, 4, 4, 3, 0, 0, 0, 4, 2, 3, 3, 0, 0, 0, 1, 4, 0, 1, 1, 0, 1, 3, 4, 0, 4, 2, 2, 3, 4, 3, 1, 1, 4, 4, 4, 1, 3, 1, 3, 0, 3, 4, 1, 4, 1, 2, 1, 3, 1, 3, 4, 4, 1, 4, 4, 3, 4, 2, 0, 0, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 1, 3, 4, 1, 4, 4, 2, 0, 4, 2, 3, 0, 0, 1, 1, 2, 3, 0, 4, 0, 4, 4, 1, 1, 0, 3, 1, 1, 4, 4, 4, 4, 0, 4, 2, 2, 2, 4, 2, 4, 0, 1, 3, 3, 2, 1, 0, 3, 1, 3, 2, 2, 0, 0, 2, 0, 2, 4, 0, 0, 0, 0, 2, 3, 2, 0, 1, 4, 4]
pubkeycol870 = [4, 3, 3, 4, 0, 0, 0, 2, 1, 0, 0, 4, 4, 1, 0, 0, 2, 3, 3, 0, 1, 4, 1, 4, 4, 1, 1, 0, 2, 1, 4, 3, 1, 0, 4, 0, 4, 2, 4, 2, 0, 4, 3, 4, 0, 4, 4, 4, 3, 4, 3, 1, 3, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 1, 0, 3, 4, 3, 2, 0, 1, 3, 4, 3, 2, 4, 1, 3, 2, 2, 4, 4, 0, 1, 2, 4, 4, 2, 1, 3, 2, 4, 4, 0, 1, 0, 1, 4, 4, 2, 1, 2, 1, 0, 3, 0, 0, 4, 0, 3, 2, 0, 3, 1, 2, 1, 4, 0, 4, 2, 4, 3, 3, 4, 1, 3, 4, 2, 2, 1, 3, 3, 2, 4, 0, 1, 0, 2, 1, 1, 3, 2, 0, 0, 3, 0, 3, 2, 4, 1, 3, 0, 3, 4, 0, 1, 3, 0, 1, 3, 0, 4, 2, 3, 4, 4, 0, 2, 3, 2, 3, 1, 1, 4, 3, 4, 4, 1, 0, 4, 0, 0, 2, 3, 2, 2, 0, 2, 4, 0, 3, 2, 0, 2, 1, 3, 0, 1, 3, 0, 4, 3, 2, 1, 2, 3, 1, 3, 2, 1, 3, 0, 0, 3, 1, 2, 0, 3, 1, 1, 4, 2, 0, 3, 1, 4, 2, 1, 3, 3, 0, 4, 2, 1, 1, 2, 0, 2, 0, 3, 2, 2, 2, 1, 1, 1, 4, 1, 2, 1, 0, 2, 3, 0, 1, 3, 0, 2, 3, 3, 3, 2, 0, 2, 1, 3, 0, 1, 1, 0, 3, 1, 4, 0, 4, 0, 3, 1, 4, 4, 1, 1, 4, 3, 0, 0, 4, 1, 3, 2, 2, 1, 1, 2, 3, 2, 3, 3, 3, 2, 0, 3, 0, 1, 4, 1, 3, 1, 1, 0, 2, 0, 1, 4, 1, 0, 2, 1, 2, 3, 2, 3, 2, 0, 2, 4, 2, 2, 4, 4, 4, 4, 4, 1, 3, 3, 2, 1, 2, 1, 3, 3, 4, 3, 0, 0, 2, 1, 4, 3, 0, 2, 1, 3, 2, 2, 2, 0, 1, 3, 0, 2, 1, 3, 3, 0, 3, 2, 2, 1, 1, 3, 1, 3, 3, 2, 4, 3, 4, 2, 1, 0, 2, 3, 1, 2, 2, 4, 3, 3, 2, 0, 0, 3, 3, 3, 1, 2, 1, 4, 0, 2, 1, 1, 0, 0, 2, 4, 0, 1, 2, 1, 2, 2, 4, 3, 2, 1, 0, 0, 1, 2, 2, 3, 0, 2, 4, 4, 1, 0, 0, 0, 0, 3, 4, 4, 3, 2, 3, 4, 0, 2, 4, 1, 1, 0, 2, 4, 4, 3, 0, 1, 0, 4, 0, 2, 0, 3, 0, 1, 2, 4, 0, 2, 0, 2, 0, 0, 3, 2, 2, 4, 0, 1, 2, 2, 1, 3, 2, 2, 3, 1, 0, 2, 0, 1, 3, 1, 4, 1, 1, 3, 3, 1, 3, 4, 3, 2, 3, 4, 2, 0, 1]
pubkeycol871 = [2, 2, 2, 4, 2, 2, 0, 2, 2, 1, 2, 2, 1, 4, 0, 1, 1, 1, 0, 0, 1, 3, 4, 4, 4, 3, 1, 4, 4, 3, 4, 2, 2, 0, 1, 4, 4, 4, 1, 0, 4, 1, 1, 3, 2, 1, 0, 3, 2, 3, 2, 2, 0, 3, 1, 3, 3, 0, 0, 1, 3, 2, 3, 2, 2, 2, 4, 2, 0, 4, 0, 4, 3, 2, 4, 0, 0, 3, 2, 3, 3, 4, 4, 1, 4, 4, 2, 2, 0, 0, 4, 3, 4, 3, 3, 4, 2, 1, 3, 4, 0, 1, 1, 4, 1, 2, 0, 2, 3, 0, 2, 4, 0, 0, 2, 1, 0, 2, 1, 4, 4, 1, 2, 0, 4, 3, 0, 4, 3, 0, 3, 0, 3, 4, 1, 3, 4, 3, 0, 4, 1, 3, 0, 2, 0, 0, 2, 4, 4, 4, 1, 4, 0, 1, 1, 0, 0, 2, 3, 0, 2, 0, 3, 1, 1, 3, 1, 0, 0, 3, 1, 0, 4, 1, 2, 1, 2, 1, 1, 3, 4, 4, 4, 3, 1, 1, 1, 3, 4, 4, 3, 0, 3, 4, 2, 4, 3, 1, 1, 4, 4, 0, 1, 1, 1, 0, 1, 3, 4, 4, 2, 3, 2, 4, 4, 2, 4, 4, 3, 0, 3, 4, 1, 0, 4, 3, 3, 0, 3, 4, 4, 3, 0, 0, 3, 4, 3, 1, 0, 3, 1, 1, 2, 3, 0, 3, 0, 4, 3, 3, 3, 4, 0, 2, 0, 4, 4, 0, 2, 2, 4, 4, 2, 3, 2, 3, 3, 1, 1, 4, 3, 3, 2, 4, 1, 3, 1, 4, 2, 0, 0, 0, 1, 3, 2, 1, 0, 4, 1, 2, 4, 3, 4, 0, 1, 1, 4, 0, 0, 3, 3, 0, 4, 2, 3, 2, 1, 4, 1, 3, 4, 3, 0, 3, 2, 2, 1, 1, 2, 1, 2, 3, 3, 3, 4, 2, 4, 4, 0, 1, 2, 3, 1, 3, 2, 0, 4, 0, 1, 3, 4, 3, 2, 0, 2, 4, 2, 0, 3, 3, 1, 2, 3, 1, 0, 3, 0, 1, 4, 3, 1, 2, 3, 4, 4, 4, 4, 1, 4, 1, 4, 4, 2, 4, 1, 4, 0, 4, 1, 2, 1, 3, 4, 1, 0, 2, 0, 2, 2, 0, 4, 0, 0, 4, 2, 3, 1, 4, 2, 0, 0, 3, 1, 3, 0, 3, 1, 4, 2, 2, 1, 0, 0, 3, 1, 2, 2, 1, 0, 0, 0, 0, 3, 1, 2, 1, 0, 1, 3, 3, 3, 4, 4, 3, 1, 3, 2, 3, 2, 4, 1, 3, 0, 4, 4, 0, 1, 0, 4, 0, 4, 4, 4, 3, 0, 2, 2, 3, 4, 2, 2, 2, 2, 3, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 3, 1, 1, 1, 3, 4, 4, 4, 0, 0, 0, 1, 1, 0, 3, 3, 1, 4, 3, 0, 4, 0, 4, 0, 2, 0, 3, 1, 4, 4, 4]
pubkeycol872 = [1, 0, 1, 0, 4, 2, 4, 0, 2, 1, 1, 2, 1, 0, 2, 3, 1, 1, 4, 4, 1, 2, 0, 2, 4, 0, 0, 2, 0, 4, 0, 4, 2, 3, 2, 4, 1, 4, 2, 1, 4, 1, 0, 3, 2, 1, 2, 3, 1, 2, 4, 3, 0, 1, 3, 2, 2, 0, 4, 3, 2, 4, 0, 2, 1, 1, 1, 2, 3, 0, 1, 1, 2, 0, 2, 2, 3, 0, 4, 4, 0, 1, 0, 0, 3, 2, 0, 1, 3, 0, 2, 3, 3, 3, 0, 1, 1, 0, 0, 2, 0, 4, 1, 0, 1, 0, 2, 2, 4, 4, 0, 4, 3, 1, 4, 0, 2, 3, 2, 1, 3, 2, 3, 1, 0, 1, 0, 4, 2, 0, 2, 1, 3, 2, 0, 1, 3, 3, 0, 1, 2, 1, 0, 3, 1, 2, 3, 1, 3, 1, 0, 0, 2, 0, 4, 0, 1, 4, 0, 3, 3, 3, 0, 0, 4, 4, 2, 0, 0, 3, 4, 2, 0, 1, 4, 4, 2, 2, 2, 4, 4, 4, 1, 1, 1, 4, 4, 1, 2, 4, 4, 4, 1, 4, 2, 3, 0, 0, 4, 2, 0, 4, 1, 2, 2, 0, 3, 3, 1, 2, 1, 0, 3, 1, 0, 3, 3, 3, 4, 0, 1, 1, 4, 0, 4, 1, 3, 2, 2, 4, 1, 0, 3, 2, 2, 4, 0, 0, 3, 0, 3, 0, 2, 0, 2, 3, 4, 1, 3, 1, 3, 4, 2, 2, 2, 4, 2, 4, 2, 0, 4, 4, 0, 1, 2, 1, 1, 3, 2, 1, 4, 1, 3, 4, 1, 1, 4, 4, 1, 0, 3, 0, 0, 0, 2, 4, 0, 1, 1, 1, 4, 3, 3, 4, 0, 0, 4, 0, 1, 1, 2, 4, 4, 1, 2, 0, 1, 3, 2, 1, 3, 2, 0, 0, 2, 2, 4, 3, 1, 3, 0, 0, 3, 2, 1, 3, 1, 3, 0, 2, 2, 1, 0, 0, 3, 3, 3, 3, 4, 0, 0, 1, 0, 3, 1, 0, 0, 4, 3, 3, 2, 0, 3, 4, 4, 4, 3, 4, 2, 2, 2, 0, 4, 2, 3, 4, 3, 0, 1, 2, 1, 1, 0, 1, 0, 3, 0, 3, 4, 4, 3, 4, 1, 3, 1, 0, 0, 1, 3, 4, 4, 2, 3, 0, 2, 3, 4, 0, 3, 3, 0, 0, 1, 1, 0, 0, 3, 1, 2, 2, 0, 2, 4, 3, 3, 3, 1, 3, 1, 4, 2, 4, 4, 2, 0, 0, 3, 3, 0, 1, 0, 3, 0, 4, 2, 1, 2, 4, 4, 4, 4, 4, 1, 3, 3, 1, 0, 1, 2, 2, 3, 4, 0, 2, 0, 1, 3, 3, 1, 3, 3, 0, 4, 4, 2, 3, 4, 3, 1, 2, 0, 3, 4, 2, 4, 2, 1, 1, 0, 4, 1, 3, 4, 0, 3, 3, 2, 0, 1, 0, 3, 4, 1, 3, 1, 4, 2, 2, 0, 2, 3, 1, 3, 0, 4]
pubkeycol873 = [2, 4, 2, 0, 4, 4, 2, 0, 4, 3, 3, 3, 3, 1, 3, 4, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 3, 0, 3, 4, 3, 0, 3, 2, 4, 4, 2, 3, 1, 3, 1, 2, 1, 3, 1, 1, 3, 1, 1, 2, 4, 2, 3, 2, 0, 0, 3, 0, 4, 0, 2, 3, 1, 2, 3, 1, 2, 4, 0, 4, 1, 4, 4, 0, 0, 3, 2, 3, 3, 0, 4, 1, 3, 0, 0, 3, 3, 0, 4, 1, 0, 4, 0, 4, 3, 3, 4, 3, 1, 0, 4, 4, 0, 2, 1, 3, 4, 3, 2, 3, 0, 1, 4, 2, 4, 3, 3, 0, 2, 2, 3, 4, 2, 0, 4, 1, 0, 0, 0, 0, 2, 4, 4, 3, 4, 3, 4, 0, 4, 3, 3, 2, 4, 4, 2, 1, 3, 1, 3, 4, 2, 1, 1, 3, 4, 0, 1, 4, 3, 2, 3, 0, 2, 4, 4, 1, 0, 1, 1, 0, 1, 3, 4, 3, 1, 3, 2, 0, 0, 0, 4, 1, 0, 2, 4, 2, 0, 2, 1, 0, 2, 0, 3, 2, 0, 2, 4, 2, 4, 4, 1, 3, 1, 3, 1, 1, 0, 2, 2, 0, 4, 1, 0, 1, 4, 0, 2, 3, 1, 1, 3, 3, 3, 3, 4, 2, 1, 1, 1, 0, 1, 2, 4, 0, 4, 2, 2, 1, 3, 2, 1, 4, 1, 4, 1, 4, 3, 1, 4, 1, 4, 4, 3, 1, 2, 4, 4, 0, 4, 4, 1, 1, 2, 2, 1, 0, 3, 0, 3, 3, 0, 3, 3, 0, 4, 4, 3, 0, 0, 3, 1, 4, 4, 0, 4, 1, 0, 4, 4, 2, 3, 4, 1, 3, 0, 0, 0, 1, 2, 4, 2, 3, 0, 2, 0, 4, 1, 2, 4, 4, 3, 1, 2, 2, 0, 3, 1, 4, 3, 1, 2, 1, 3, 3, 2, 1, 1, 1, 4, 3, 1, 4, 1, 3, 0, 2, 0, 2, 2, 1, 0, 2, 1, 4, 4, 4, 1, 1, 0, 0, 1, 1, 2, 2, 1, 4, 0, 4, 1, 3, 3, 4, 4, 3, 3, 0, 0, 2, 1, 1, 2, 4, 3, 1, 1, 0, 4, 2, 1, 4, 0, 3, 2, 1, 0, 0, 3, 0, 3, 0, 3, 4, 0, 1, 1, 3, 4, 2, 1, 2, 2, 0, 2, 1, 4, 0, 4, 3, 0, 3, 0, 3, 2, 1, 1, 4, 4, 2, 1, 1, 3, 4, 0, 1, 3, 0, 4, 1, 3, 0, 0, 4, 3, 3, 2, 2, 1, 1, 4, 0, 4, 3, 0, 3, 4, 3, 2, 4, 3, 2, 2, 4, 2, 1, 3, 2, 4, 0, 4, 4, 4, 2, 3, 3, 1, 4, 1, 1, 3, 3, 0, 2, 3, 2, 2, 3, 4, 2, 1, 3, 4, 4, 0, 1, 1, 1, 0, 1, 2, 0, 4, 2, 1, 0, 2, 2, 2, 4, 3, 1, 2, 2, 4, 0, 1]
pubkeycol874 = [3, 2, 2, 4, 4, 0, 4, 1, 1, 4, 3, 2, 3, 2, 2, 3, 3, 3, 1, 1, 3, 3, 2, 3, 4, 0, 1, 4, 0, 1, 3, 2, 4, 2, 1, 3, 4, 1, 0, 2, 3, 3, 4, 0, 1, 1, 4, 1, 4, 1, 1, 1, 2, 3, 3, 2, 0, 1, 2, 4, 3, 3, 2, 1, 3, 3, 2, 3, 3, 2, 2, 3, 1, 0, 1, 4, 3, 3, 0, 0, 1, 0, 3, 3, 2, 2, 3, 3, 2, 3, 4, 2, 1, 3, 3, 0, 3, 3, 4, 2, 4, 4, 4, 1, 2, 4, 3, 4, 4, 2, 1, 0, 4, 1, 4, 2, 3, 2, 0, 1, 3, 3, 0, 0, 1, 1, 2, 0, 1, 0, 0, 4, 4, 4, 3, 2, 4, 4, 1, 1, 1, 1, 4, 0, 2, 0, 4, 4, 3, 1, 0, 4, 1, 0, 4, 3, 2, 2, 4, 4, 3, 3, 3, 2, 1, 1, 0, 3, 3, 4, 3, 0, 3, 2, 3, 3, 3, 0, 2, 3, 2, 0, 0, 1, 4, 3, 4, 4, 0, 2, 4, 2, 1, 0, 3, 1, 3, 0, 4, 1, 1, 2, 3, 4, 1, 0, 4, 3, 0, 2, 1, 1, 4, 2, 4, 4, 4, 3, 1, 4, 2, 1, 2, 3, 3, 1, 2, 3, 4, 2, 4, 1, 4, 4, 3, 2, 1, 4, 4, 1, 2, 3, 1, 1, 2, 4, 0, 0, 2, 2, 0, 2, 3, 3, 4, 0, 2, 3, 1, 3, 2, 0, 4, 0, 2, 0, 0, 3, 3, 0, 2, 3, 4, 3, 0, 3, 2, 3, 1, 4, 0, 2, 0, 2, 4, 3, 0, 3, 2, 2, 2, 4, 0, 1, 1, 3, 4, 4, 1, 4, 0, 4, 1, 1, 2, 4, 1, 4, 3, 2, 2, 2, 1, 2, 4, 4, 4, 0, 4, 3, 0, 2, 2, 4, 3, 0, 1, 4, 2, 2, 2, 1, 2, 3, 1, 2, 3, 0, 3, 2, 3, 4, 3, 4, 3, 1, 2, 3, 2, 3, 0, 1, 1, 2, 3, 0, 4, 2, 1, 4, 0, 4, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 3, 4, 4, 0, 4, 2, 3, 4, 3, 2, 4, 2, 3, 1, 4, 4, 1, 4, 2, 0, 1, 1, 1, 1, 2, 2, 3, 0, 3, 2, 0, 2, 2, 3, 2, 1, 1, 1, 1, 4, 2, 0, 2, 4, 0, 2, 2, 1, 4, 1, 2, 3, 0, 0, 3, 3, 2, 3, 4, 4, 4, 3, 4, 4, 3, 4, 2, 2, 4, 0, 3, 0, 1, 2, 3, 1, 2, 1, 4, 1, 1, 1, 4, 4, 2, 0, 3, 2, 2, 4, 0, 2, 2, 4, 4, 0, 4, 2, 0, 4, 2, 4, 2, 4, 1, 4, 4, 2, 0, 0, 0, 0, 2, 0, 2, 4, 3, 3, 1, 1, 1, 0, 1, 2, 2, 1, 3, 1, 2, 1]
pubkeycol875 = [0, 0, 4, 0, 2, 2, 4, 1, 0, 0, 1, 0, 3, 3, 3, 4, 4, 3, 3, 4, 3, 4, 1, 4, 4, 0, 0, 2, 0, 3, 0, 2, 2, 3, 2, 0, 4, 2, 1, 0, 3, 4, 1, 4, 1, 2, 4, 4, 1, 1, 1, 2, 3, 3, 3, 3, 3, 4, 0, 1, 1, 3, 0, 0, 4, 1, 2, 4, 4, 2, 1, 4, 1, 2, 4, 2, 3, 2, 0, 1, 2, 0, 0, 0, 1, 0, 4, 2, 3, 4, 3, 1, 4, 1, 1, 4, 1, 1, 3, 1, 2, 1, 4, 1, 1, 4, 1, 0, 3, 2, 2, 3, 2, 2, 2, 1, 2, 4, 0, 4, 4, 0, 2, 3, 1, 3, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 3, 2, 4, 0, 1, 3, 1, 3, 1, 3, 1, 2, 2, 0, 4, 3, 1, 1, 2, 0, 4, 3, 1, 4, 0, 3, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 3, 0, 3, 3, 1, 1, 0, 0, 2, 3, 2, 2, 1, 1, 3, 3, 0, 1, 2, 1, 4, 2, 3, 1, 4, 4, 2, 0, 1, 4, 1, 3, 1, 1, 1, 2, 4, 0, 0, 3, 3, 2, 4, 1, 3, 1, 2, 2, 2, 4, 0, 0, 0, 0, 0, 1, 4, 1, 1, 0, 0, 0, 2, 2, 1, 4, 2, 0, 0, 1, 1, 1, 4, 3, 4, 2, 3, 2, 0, 1, 1, 4, 4, 1, 0, 3, 0, 4, 2, 3, 4, 4, 0, 0, 4, 0, 3, 4, 1, 4, 3, 4, 2, 1, 4, 2, 2, 3, 1, 2, 0, 1, 1, 0, 3, 1, 3, 2, 2, 0, 4, 0, 1, 3, 4, 4, 3, 2, 0, 1, 0, 1, 4, 4, 4, 0, 2, 1, 2, 4, 4, 4, 2, 0, 3, 1, 3, 2, 4, 2, 0, 0, 4, 1, 4, 3, 1, 1, 2, 2, 1, 2, 4, 0, 4, 1, 1, 2, 0, 3, 2, 4, 3, 3, 4, 2, 3, 0, 3, 1, 3, 4, 1, 4, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 3, 1, 2, 1, 1, 0, 1, 2, 3, 4, 3, 3, 2, 0, 3, 0, 1, 4, 0, 2, 4, 4, 4, 4, 3, 1, 4, 3, 2, 4, 3, 1, 3, 1, 2, 4, 4, 3, 3, 3, 0, 3, 2, 2, 1, 1, 4, 4, 1, 2, 1, 0, 0, 1, 4, 3, 2, 3, 4, 1, 3, 4, 1, 3, 4, 4, 2, 2, 0, 0, 4, 1, 1, 3, 2, 3, 0, 4, 3, 3, 2, 1, 2, 2, 2, 4, 0, 1, 2, 4, 3, 1, 0, 3, 0, 0, 2, 1, 1, 4, 3, 2, 0, 0, 1, 0, 2, 2, 1, 3, 3, 2, 4, 2, 3, 2, 4, 0, 4, 1, 1, 2, 3, 1, 4, 1, 2, 3, 1, 0, 4, 4, 2, 4, 2, 0, 2, 0, 4]
pubkeycol876 = [4, 0, 1, 1, 1, 0, 2, 2, 4, 1, 0, 4, 1, 4, 2, 1, 1, 0, 4, 1, 1, 1, 4, 1, 3, 4, 0, 2, 2, 1, 4, 4, 0, 2, 0, 0, 3, 4, 0, 0, 1, 4, 4, 4, 0, 3, 0, 3, 1, 3, 1, 3, 0, 0, 1, 0, 3, 2, 0, 0, 3, 3, 3, 3, 0, 1, 2, 1, 0, 4, 4, 0, 2, 1, 3, 4, 2, 4, 0, 2, 3, 2, 0, 4, 2, 4, 3, 0, 2, 4, 0, 2, 4, 1, 2, 1, 0, 3, 2, 0, 2, 0, 0, 4, 4, 3, 1, 3, 0, 1, 3, 3, 0, 2, 2, 1, 1, 2, 2, 4, 4, 2, 2, 2, 1, 4, 3, 2, 2, 0, 4, 1, 1, 3, 3, 1, 3, 3, 3, 1, 2, 3, 3, 1, 4, 1, 4, 1, 1, 0, 1, 2, 4, 3, 3, 4, 4, 3, 3, 2, 2, 4, 4, 1, 2, 3, 1, 4, 4, 1, 3, 3, 1, 4, 2, 2, 0, 0, 2, 0, 0, 1, 3, 1, 2, 2, 2, 1, 4, 2, 2, 0, 1, 0, 1, 2, 0, 3, 3, 1, 4, 3, 3, 2, 4, 1, 0, 4, 2, 3, 4, 1, 0, 1, 0, 0, 1, 0, 3, 2, 2, 4, 0, 4, 4, 3, 4, 1, 4, 2, 3, 1, 1, 4, 0, 1, 0, 2, 2, 1, 1, 2, 0, 4, 3, 1, 3, 2, 3, 2, 3, 0, 2, 1, 1, 2, 4, 1, 1, 4, 0, 1, 1, 3, 2, 4, 4, 0, 1, 0, 1, 0, 2, 1, 1, 4, 2, 4, 0, 2, 3, 3, 2, 1, 3, 1, 0, 2, 1, 3, 0, 3, 2, 2, 4, 1, 3, 2, 3, 2, 2, 4, 1, 2, 2, 0, 1, 1, 2, 4, 0, 1, 1, 0, 2, 4, 0, 2, 0, 0, 3, 2, 0, 3, 3, 2, 4, 3, 0, 4, 0, 3, 0, 4, 2, 1, 4, 0, 2, 2, 2, 1, 1, 3, 1, 4, 2, 1, 3, 1, 3, 4, 0, 2, 3, 1, 0, 2, 1, 0, 4, 1, 3, 0, 3, 2, 4, 0, 3, 4, 1, 2, 4, 3, 1, 2, 1, 1, 1, 0, 2, 4, 0, 1, 3, 1, 4, 1, 4, 3, 1, 4, 2, 3, 4, 2, 2, 2, 0, 2, 3, 2, 4, 1, 0, 4, 0, 1, 1, 3, 4, 4, 0, 4, 3, 4, 1, 2, 0, 1, 1, 0, 4, 3, 3, 1, 4, 3, 3, 1, 1, 3, 1, 2, 0, 2, 3, 0, 0, 2, 1, 3, 4, 0, 1, 2, 1, 4, 0, 1, 2, 0, 0, 3, 2, 1, 1, 0, 3, 4, 0, 2, 0, 2, 3, 4, 2, 0, 0, 4, 3, 0, 0, 3, 1, 3, 0, 2, 2, 4, 0, 2, 3, 0, 0, 2, 3, 2, 1, 2, 0, 3, 2, 4, 3, 3, 4, 0, 0, 4, 0, 3, 2, 3, 1]
pubkeycol877 = [3, 2, 3, 0, 2, 2, 1, 0, 2, 3, 3, 0, 0, 4, 0, 4, 0, 0, 1, 0, 3, 3, 4, 1, 4, 4, 2, 1, 2, 0, 0, 1, 3, 4, 3, 3, 2, 1, 0, 4, 3, 2, 3, 1, 2, 2, 0, 3, 1, 3, 3, 3, 2, 4, 4, 3, 0, 2, 4, 3, 1, 4, 1, 0, 0, 4, 2, 3, 0, 3, 3, 4, 3, 1, 0, 1, 1, 1, 0, 3, 2, 4, 0, 2, 1, 3, 2, 0, 2, 3, 3, 0, 0, 0, 4, 4, 4, 0, 3, 1, 4, 2, 2, 0, 2, 3, 1, 4, 3, 0, 3, 3, 3, 2, 4, 3, 4, 4, 4, 4, 0, 3, 3, 2, 2, 2, 0, 1, 4, 2, 0, 0, 2, 4, 2, 4, 1, 4, 1, 1, 0, 2, 4, 1, 2, 2, 3, 1, 2, 3, 0, 2, 2, 4, 4, 0, 0, 4, 1, 4, 3, 0, 1, 2, 1, 1, 0, 3, 0, 2, 2, 0, 1, 4, 3, 0, 2, 3, 2, 3, 3, 2, 4, 1, 4, 4, 0, 0, 2, 3, 2, 0, 4, 1, 0, 3, 0, 0, 2, 2, 4, 3, 0, 4, 1, 0, 2, 0, 3, 1, 2, 4, 2, 3, 2, 0, 0, 1, 1, 0, 1, 2, 1, 4, 4, 1, 3, 1, 2, 1, 3, 0, 2, 1, 1, 3, 1, 4, 1, 1, 4, 3, 0, 2, 4, 2, 4, 3, 3, 4, 1, 0, 2, 4, 3, 0, 4, 2, 0, 4, 0, 0, 3, 1, 3, 0, 3, 3, 1, 1, 1, 2, 0, 1, 4, 4, 0, 0, 3, 1, 1, 4, 4, 0, 3, 2, 2, 4, 4, 0, 2, 2, 3, 4, 0, 2, 3, 2, 3, 2, 1, 4, 1, 1, 3, 1, 2, 2, 3, 3, 1, 0, 0, 1, 4, 1, 1, 1, 0, 1, 3, 4, 0, 4, 2, 0, 1, 3, 0, 3, 0, 4, 1, 3, 4, 3, 3, 4, 3, 2, 0, 2, 1, 2, 0, 0, 2, 0, 4, 2, 3, 4, 1, 3, 4, 4, 2, 1, 1, 1, 1, 0, 2, 2, 3, 0, 2, 4, 4, 4, 1, 3, 1, 2, 3, 2, 4, 2, 2, 1, 0, 1, 2, 3, 4, 0, 0, 3, 4, 1, 3, 2, 4, 0, 3, 3, 4, 0, 0, 2, 3, 1, 1, 2, 1, 3, 1, 3, 4, 1, 1, 4, 4, 2, 1, 2, 3, 4, 1, 0, 3, 1, 3, 2, 4, 1, 2, 0, 0, 2, 2, 0, 4, 4, 3, 0, 1, 2, 2, 4, 4, 4, 3, 2, 4, 1, 2, 4, 2, 4, 0, 3, 0, 0, 3, 0, 2, 2, 3, 2, 3, 3, 3, 2, 4, 0, 3, 0, 3, 4, 1, 1, 4, 4, 3, 3, 2, 3, 0, 0, 0, 4, 1, 4, 2, 2, 0, 3, 0, 4, 1, 2, 1, 1, 0, 1, 1, 2, 4, 4, 3, 1, 4, 4, 0]
pubkeycol878 = [2, 3, 4, 4, 3, 2, 0, 3, 1, 3, 2, 0, 4, 2, 2, 4, 3, 2, 3, 4, 3, 1, 3, 4, 0, 4, 4, 2, 0, 1, 4, 4, 0, 1, 1, 2, 4, 4, 2, 2, 2, 4, 4, 4, 0, 1, 2, 1, 4, 3, 1, 0, 2, 4, 1, 2, 4, 2, 0, 3, 3, 4, 4, 0, 2, 1, 3, 4, 0, 3, 4, 3, 0, 4, 4, 1, 2, 1, 3, 0, 0, 4, 2, 4, 2, 2, 3, 0, 4, 1, 1, 3, 0, 4, 2, 3, 2, 2, 3, 3, 1, 4, 4, 2, 0, 2, 1, 2, 1, 2, 4, 4, 3, 1, 4, 4, 1, 0, 2, 2, 0, 0, 3, 1, 4, 3, 1, 2, 2, 4, 2, 3, 0, 3, 0, 0, 2, 3, 1, 2, 3, 3, 1, 2, 3, 1, 1, 4, 4, 4, 3, 0, 1, 0, 4, 2, 3, 3, 4, 1, 3, 2, 3, 2, 3, 4, 3, 2, 3, 1, 4, 1, 3, 0, 4, 0, 4, 2, 1, 3, 4, 4, 4, 4, 1, 3, 1, 2, 2, 1, 3, 4, 2, 1, 0, 2, 0, 0, 4, 2, 1, 2, 1, 2, 3, 4, 3, 3, 4, 0, 1, 1, 0, 0, 3, 2, 4, 4, 2, 2, 2, 1, 1, 1, 2, 2, 0, 4, 0, 2, 0, 1, 4, 0, 1, 2, 4, 0, 1, 3, 3, 1, 0, 1, 0, 2, 3, 0, 0, 1, 1, 0, 1, 1, 4, 2, 1, 4, 1, 1, 2, 2, 0, 0, 1, 3, 2, 1, 0, 3, 0, 3, 3, 4, 3, 0, 3, 0, 2, 4, 4, 1, 4, 0, 0, 0, 1, 2, 2, 4, 2, 2, 3, 3, 0, 1, 2, 3, 1, 2, 4, 2, 3, 0, 4, 1, 2, 3, 0, 1, 1, 4, 4, 4, 2, 4, 0, 3, 4, 1, 4, 3, 0, 2, 0, 1, 1, 4, 1, 0, 4, 2, 4, 1, 2, 1, 1, 4, 0, 2, 2, 0, 0, 1, 1, 3, 1, 1, 4, 1, 3, 1, 2, 0, 3, 0, 2, 3, 1, 4, 3, 2, 2, 0, 3, 2, 0, 2, 4, 3, 3, 0, 3, 0, 2, 2, 4, 0, 2, 4, 0, 3, 4, 3, 0, 0, 3, 3, 1, 2, 1, 1, 2, 0, 1, 3, 0, 3, 3, 3, 2, 1, 1, 4, 1, 2, 2, 3, 3, 1, 1, 3, 1, 3, 3, 4, 3, 3, 1, 4, 1, 4, 3, 4, 4, 2, 1, 0, 0, 2, 0, 0, 2, 4, 4, 2, 4, 2, 0, 1, 3, 1, 0, 3, 0, 3, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 3, 1, 0, 3, 1, 2, 1, 2, 3, 0, 2, 4, 4, 4, 3, 2, 4, 2, 2, 1, 1, 0, 3, 4, 0, 1, 3, 4, 1, 4, 1, 2, 4, 3, 1, 4, 1, 3, 1, 4, 3, 0, 1, 0, 2, 2, 2, 1]
pubkeycol879 = [3, 3, 0, 1, 2, 4, 3, 0, 1, 4, 3, 3, 2, 0, 0, 4, 3, 2, 4, 4, 0, 2, 1, 0, 0, 0, 2, 3, 1, 4, 0, 0, 3, 0, 3, 1, 0, 0, 0, 2, 3, 0, 2, 0, 2, 0, 1, 3, 4, 2, 4, 3, 2, 2, 1, 1, 1, 4, 1, 0, 3, 1, 1, 3, 4, 2, 3, 4, 4, 0, 3, 4, 0, 4, 2, 2, 4, 2, 2, 0, 1, 4, 3, 2, 3, 2, 2, 0, 1, 3, 3, 4, 2, 4, 4, 2, 2, 3, 1, 3, 1, 2, 1, 3, 1, 2, 2, 3, 0, 4, 0, 0, 0, 1, 4, 1, 0, 1, 1, 3, 2, 2, 3, 0, 1, 4, 4, 2, 0, 1, 4, 0, 0, 2, 4, 0, 3, 3, 4, 4, 1, 1, 0, 1, 4, 0, 0, 4, 4, 2, 3, 3, 4, 1, 4, 2, 1, 4, 1, 3, 3, 3, 0, 2, 2, 0, 3, 3, 0, 4, 3, 2, 0, 1, 3, 4, 2, 1, 4, 2, 3, 4, 3, 3, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 3, 1, 1, 4, 0, 1, 0, 4, 1, 0, 4, 1, 4, 0, 4, 4, 0, 1, 3, 2, 4, 0, 4, 1, 1, 3, 4, 4, 0, 1, 4, 1, 4, 0, 2, 3, 4, 1, 0, 2, 0, 1, 3, 2, 0, 0, 3, 2, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 4, 1, 0, 0, 2, 1, 4, 4, 3, 2, 0, 1, 1, 2, 0, 1, 0, 4, 4, 4, 1, 0, 4, 0, 3, 0, 4, 0, 4, 0, 4, 3, 0, 3, 0, 4, 2, 4, 2, 0, 1, 1, 0, 1, 3, 0, 4, 1, 2, 1, 1, 0, 4, 2, 0, 4, 4, 3, 1, 0, 3, 4, 1, 3, 1, 3, 1, 3, 0, 0, 2, 3, 1, 2, 0, 4, 2, 4, 0, 1, 1, 2, 2, 3, 2, 4, 1, 4, 2, 1, 3, 1, 4, 4, 3, 4, 4, 3, 3, 4, 4, 3, 3, 2, 1, 2, 1, 1, 1, 0, 4, 3, 4, 0, 1, 0, 0, 3, 2, 1, 2, 1, 0, 1, 3, 1, 3, 2, 0, 4, 3, 2, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 1, 3, 0, 1, 0, 1, 1, 3, 2, 0, 1, 3, 1, 0, 4, 2, 3, 3, 2, 1, 4, 1, 2, 0, 0, 2, 3, 3, 4, 3, 1, 2, 3, 3, 2, 0, 0, 0, 0, 3, 4, 4, 1, 4, 4, 2, 2, 2, 0, 2, 0, 0, 4, 1, 0, 4, 3, 2, 4, 1, 3, 0, 3, 2, 1, 4, 0, 0, 4, 2, 4, 3, 4, 3, 0, 1, 3, 2, 4, 0, 4, 3, 4, 4, 3, 4, 2, 2, 0, 0, 2, 2, 0, 2, 0, 3, 0, 1, 0, 0, 2, 4, 3, 3, 1, 1, 2, 4, 1]
pubkeycol880 = [4, 3, 2, 4, 4, 3, 2, 4, 4, 0, 1, 2, 0, 4, 4, 0, 3, 1, 3, 4, 3, 3, 2, 2, 2, 2, 1, 4, 0, 0, 2, 0, 2, 4, 2, 1, 1, 0, 4, 4, 1, 3, 3, 3, 2, 1, 4, 4, 2, 3, 4, 1, 2, 4, 0, 0, 0, 0, 1, 4, 4, 0, 1, 3, 2, 3, 4, 3, 3, 1, 2, 1, 4, 2, 2, 2, 2, 1, 3, 4, 3, 2, 0, 1, 3, 1, 4, 2, 3, 2, 3, 0, 1, 1, 0, 1, 4, 3, 0, 1, 2, 3, 4, 0, 0, 3, 4, 3, 3, 2, 4, 0, 1, 1, 4, 0, 3, 0, 4, 1, 2, 2, 3, 1, 1, 2, 3, 4, 0, 3, 3, 0, 0, 2, 2, 0, 3, 4, 4, 3, 1, 3, 4, 3, 2, 0, 4, 2, 2, 0, 2, 3, 1, 2, 4, 0, 3, 3, 4, 2, 4, 1, 0, 0, 2, 2, 0, 3, 3, 3, 0, 0, 4, 2, 0, 0, 0, 3, 1, 2, 3, 4, 0, 1, 3, 2, 1, 4, 2, 0, 1, 3, 4, 0, 0, 0, 4, 0, 0, 1, 1, 2, 0, 1, 4, 4, 3, 4, 3, 4, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 4, 1, 3, 1, 0, 3, 0, 2, 3, 2, 4, 0, 3, 3, 3, 2, 2, 3, 3, 1, 4, 0, 1, 4, 1, 1, 0, 2, 0, 1, 4, 4, 2, 3, 3, 0, 1, 3, 3, 0, 0, 3, 1, 0, 2, 3, 3, 1, 3, 2, 1, 3, 2, 2, 4, 2, 4, 2, 2, 4, 3, 4, 3, 0, 1, 2, 4, 2, 3, 3, 1, 2, 3, 1, 4, 4, 3, 3, 0, 3, 0, 0, 2, 3, 2, 3, 3, 1, 2, 0, 3, 2, 3, 0, 3, 3, 3, 3, 0, 0, 3, 4, 4, 1, 2, 2, 2, 2, 3, 1, 1, 0, 4, 0, 0, 0, 4, 3, 3, 0, 2, 2, 2, 2, 4, 0, 4, 1, 1, 0, 4, 1, 3, 0, 3, 1, 1, 4, 2, 0, 0, 4, 2, 0, 0, 2, 0, 2, 3, 4, 1, 0, 4, 3, 0, 3, 0, 1, 1, 1, 0, 4, 2, 0, 0, 1, 2, 3, 4, 4, 0, 1, 4, 4, 0, 3, 3, 2, 1, 4, 2, 2, 1, 2, 4, 4, 3, 4, 1, 1, 0, 0, 2, 3, 4, 1, 3, 2, 1, 2, 2, 3, 1, 3, 1, 4, 1, 3, 4, 1, 1, 3, 2, 3, 1, 3, 2, 4, 1, 3, 3, 0, 2, 3, 0, 3, 4, 0, 4, 1, 3, 2, 4, 4, 3, 4, 2, 2, 0, 4, 1, 4, 1, 1, 4, 4, 3, 3, 0, 0, 2, 2, 4, 0, 2, 1, 0, 1, 2, 2, 3, 3, 3, 1, 4, 1, 0, 4, 2, 0, 3, 1, 3, 4, 2, 3, 1, 2, 2, 0, 0, 0, 2, 2]
pubkeycol881 = [3, 0, 2, 4, 4, 2, 1, 0, 0, 4, 2, 0, 0, 3, 3, 0, 4, 4, 2, 3, 4, 3, 3, 1, 0, 2, 3, 0, 3, 2, 1, 4, 1, 4, 1, 3, 3, 0, 4, 3, 2, 0, 3, 1, 0, 4, 1, 1, 3, 3, 0, 0, 1, 4, 1, 0, 1, 1, 4, 0, 1, 4, 2, 2, 4, 2, 3, 1, 3, 2, 3, 1, 0, 0, 1, 3, 3, 3, 4, 3, 2, 2, 0, 0, 4, 0, 3, 1, 1, 2, 1, 3, 0, 1, 2, 0, 4, 1, 1, 1, 1, 2, 2, 3, 2, 3, 1, 4, 1, 4, 4, 3, 4, 1, 0, 1, 4, 1, 0, 1, 0, 2, 4, 1, 1, 3, 0, 1, 2, 2, 2, 2, 0, 3, 1, 0, 0, 1, 4, 1, 4, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 3, 0, 4, 4, 2, 1, 0, 3, 4, 0, 1, 1, 4, 4, 0, 4, 1, 4, 2, 0, 0, 0, 3, 4, 4, 1, 2, 2, 4, 1, 4, 3, 0, 4, 2, 3, 2, 1, 2, 3, 0, 0, 1, 2, 4, 3, 3, 3, 3, 0, 0, 1, 4, 4, 0, 3, 0, 0, 1, 4, 0, 3, 0, 4, 1, 4, 3, 2, 4, 3, 2, 1, 0, 0, 2, 3, 3, 1, 3, 2, 4, 3, 2, 1, 3, 3, 0, 1, 0, 2, 3, 1, 0, 4, 0, 1, 0, 3, 1, 0, 3, 1, 1, 1, 0, 3, 1, 1, 3, 4, 4, 2, 3, 1, 2, 4, 0, 1, 0, 2, 2, 3, 2, 3, 0, 2, 0, 4, 1, 3, 4, 3, 0, 0, 3, 0, 3, 3, 0, 2, 2, 0, 3, 4, 4, 1, 3, 2, 3, 4, 3, 3, 0, 0, 4, 4, 2, 4, 4, 2, 3, 4, 2, 1, 2, 4, 3, 4, 1, 2, 0, 3, 2, 2, 4, 1, 1, 0, 0, 2, 2, 1, 4, 1, 0, 4, 2, 1, 1, 3, 1, 3, 4, 0, 0, 2, 1, 2, 2, 3, 3, 0, 2, 2, 1, 1, 1, 4, 2, 1, 1, 3, 3, 0, 0, 3, 2, 2, 0, 3, 3, 2, 2, 4, 2, 4, 0, 0, 3, 2, 1, 4, 1, 0, 0, 0, 0, 0, 3, 4, 2, 4, 3, 0, 3, 4, 3, 2, 1, 3, 4, 3, 4, 4, 0, 1, 0, 0, 2, 4, 4, 4, 2, 2, 0, 0, 4, 4, 2, 1, 3, 1, 2, 0, 3, 1, 4, 4, 2, 3, 1, 0, 2, 2, 4, 1, 2, 2, 2, 1, 0, 2, 0, 1, 3, 2, 2, 1, 3, 3, 2, 1, 3, 3, 2, 3, 1, 2, 1, 3, 1, 0, 1, 4, 2, 0, 2, 2, 3, 3, 4, 1, 4, 0, 3, 1, 4, 3, 0, 2, 1, 4, 2, 2, 4, 4, 4, 3, 1, 0, 0, 1, 3, 3, 4, 2, 4, 4, 3, 2, 4, 0]
pubkeycol882 = [0, 2, 4, 0, 1, 1, 4, 4, 3, 0, 3, 0, 0, 2, 4, 4, 2, 2, 2, 2, 3, 1, 4, 1, 0, 0, 2, 1, 0, 0, 4, 3, 4, 1, 1, 2, 1, 0, 3, 4, 0, 1, 0, 4, 1, 2, 3, 3, 1, 3, 1, 1, 2, 2, 3, 2, 0, 2, 3, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 3, 3, 1, 0, 1, 2, 3, 2, 2, 4, 0, 3, 3, 1, 2, 0, 1, 2, 2, 2, 1, 4, 3, 3, 4, 4, 3, 1, 2, 1, 4, 1, 0, 2, 0, 1, 3, 4, 4, 0, 0, 2, 1, 2, 4, 0, 1, 3, 1, 1, 0, 3, 0, 3, 4, 0, 0, 0, 4, 3, 0, 2, 1, 1, 3, 3, 4, 3, 4, 2, 3, 3, 4, 4, 4, 3, 2, 4, 3, 0, 4, 0, 4, 4, 2, 3, 4, 1, 3, 1, 2, 0, 0, 3, 1, 4, 2, 3, 2, 1, 4, 2, 3, 1, 3, 0, 2, 0, 0, 1, 2, 3, 3, 0, 1, 3, 0, 2, 3, 3, 3, 4, 3, 4, 1, 0, 4, 4, 1, 3, 3, 3, 1, 0, 1, 0, 4, 2, 4, 2, 4, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 4, 2, 1, 4, 0, 0, 3, 1, 4, 3, 2, 4, 3, 2, 4, 2, 2, 3, 4, 4, 4, 2, 2, 3, 0, 4, 1, 3, 1, 3, 1, 4, 0, 4, 3, 0, 4, 3, 2, 2, 0, 0, 3, 1, 4, 4, 4, 1, 0, 3, 3, 1, 1, 3, 1, 3, 3, 4, 3, 1, 4, 3, 0, 4, 2, 4, 2, 2, 1, 1, 4, 0, 0, 4, 1, 2, 0, 2, 2, 3, 0, 3, 2, 0, 4, 3, 3, 2, 3, 1, 2, 3, 3, 3, 0, 1, 1, 4, 1, 3, 4, 1, 3, 4, 4, 1, 4, 3, 4, 2, 1, 3, 0, 1, 2, 3, 3, 1, 2, 3, 0, 4, 1, 2, 3, 0, 1, 2, 2, 4, 1, 2, 3, 4, 1, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 2, 0, 4, 3, 2, 4, 2, 1, 4, 3, 3, 4, 4, 1, 0, 0, 4, 3, 1, 1, 2, 0, 0, 4, 3, 0, 4, 0, 4, 1, 4, 4, 3, 1, 1, 2, 2, 2, 2, 1, 2, 3, 3, 0, 0, 0, 3, 1, 2, 3, 0, 1, 2, 0, 0, 3, 2, 4, 2, 3, 1, 3, 4, 0, 3, 2, 4, 1, 4, 3, 3, 4, 1, 4, 2, 1, 1, 1, 2, 1, 3, 2, 0, 2, 0, 0, 3, 3, 1, 2, 1, 0, 4, 4, 1, 3, 1, 1, 3, 4, 0, 0, 4, 1, 3, 4, 1, 4, 0, 2, 3, 2, 2, 1, 4, 4, 0, 2, 4, 0, 1, 4, 2, 2, 4, 4, 1, 3, 0, 4, 0, 1, 1, 2, 2, 0, 3, 3, 2, 4]
pubkeycol883 = [3, 4, 3, 4, 1, 2, 3, 0, 1, 4, 1, 1, 1, 2, 1, 2, 1, 3, 1, 4, 4, 2, 2, 4, 3, 4, 0, 1, 2, 4, 2, 2, 1, 3, 2, 3, 1, 3, 3, 0, 4, 0, 1, 4, 0, 2, 2, 0, 2, 0, 2, 3, 0, 1, 1, 4, 4, 2, 0, 2, 0, 4, 4, 4, 0, 3, 4, 2, 2, 0, 3, 0, 3, 1, 4, 1, 3, 4, 1, 4, 0, 0, 4, 3, 3, 2, 0, 3, 4, 2, 0, 2, 4, 2, 2, 1, 2, 4, 1, 0, 4, 2, 3, 0, 3, 3, 0, 2, 3, 4, 1, 0, 3, 2, 2, 0, 1, 0, 4, 2, 1, 2, 0, 4, 1, 4, 3, 4, 3, 2, 1, 2, 3, 2, 3, 3, 3, 3, 0, 0, 0, 4, 1, 4, 1, 0, 3, 0, 3, 0, 4, 2, 3, 0, 2, 0, 2, 4, 0, 0, 0, 3, 3, 1, 4, 1, 2, 4, 3, 1, 0, 1, 3, 0, 0, 1, 1, 0, 0, 3, 2, 1, 0, 1, 0, 4, 2, 4, 0, 4, 1, 3, 4, 3, 3, 1, 2, 2, 4, 3, 2, 2, 0, 4, 3, 1, 0, 1, 4, 2, 1, 2, 2, 0, 2, 0, 0, 0, 3, 1, 3, 1, 0, 1, 1, 2, 4, 4, 4, 3, 1, 1, 3, 4, 2, 2, 3, 2, 1, 0, 2, 0, 1, 1, 1, 1, 3, 2, 2, 0, 4, 2, 2, 0, 1, 3, 0, 2, 4, 2, 2, 2, 1, 2, 1, 2, 2, 3, 0, 0, 4, 2, 0, 0, 2, 0, 1, 0, 4, 3, 3, 3, 3, 2, 2, 3, 1, 4, 1, 2, 2, 1, 4, 3, 3, 1, 3, 4, 2, 4, 2, 4, 4, 0, 0, 2, 2, 3, 1, 3, 2, 3, 0, 2, 2, 2, 4, 3, 0, 1, 3, 1, 4, 2, 4, 2, 4, 1, 4, 2, 0, 2, 1, 4, 0, 2, 1, 0, 4, 2, 2, 3, 3, 0, 1, 0, 1, 2, 1, 3, 3, 1, 0, 4, 0, 4, 2, 1, 2, 2, 4, 0, 2, 3, 2, 2, 1, 0, 2, 0, 4, 3, 2, 0, 2, 1, 4, 4, 4, 2, 0, 1, 2, 0, 4, 1, 0, 3, 2, 1, 1, 0, 4, 0, 0, 4, 4, 4, 3, 2, 3, 0, 1, 1, 4, 2, 3, 4, 4, 4, 3, 2, 0, 3, 0, 2, 3, 3, 3, 0, 0, 2, 3, 2, 4, 2, 3, 0, 1, 1, 2, 1, 1, 2, 3, 4, 0, 4, 4, 1, 0, 0, 0, 3, 4, 2, 2, 0, 3, 1, 4, 2, 0, 0, 3, 4, 3, 1, 3, 2, 4, 0, 3, 3, 3, 2, 0, 1, 4, 2, 3, 4, 1, 2, 3, 3, 1, 1, 4, 1, 2, 1, 4, 3, 2, 3, 4, 3, 1, 4, 4, 2, 4, 1, 1, 2, 2, 4, 4, 2, 1, 2, 4, 2, 2]
pubkeycol884 = [3, 3, 4, 3, 1, 0, 4, 0, 2, 0, 1, 4, 4, 0, 0, 2, 4, 3, 2, 3, 4, 4, 0, 3, 3, 4, 0, 3, 4, 0, 0, 2, 2, 1, 1, 3, 2, 2, 3, 1, 0, 3, 1, 0, 4, 1, 3, 1, 2, 1, 0, 1, 3, 0, 3, 4, 0, 4, 1, 3, 0, 2, 2, 3, 0, 2, 1, 4, 0, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 4, 1, 0, 4, 3, 3, 3, 4, 4, 3, 4, 3, 0, 1, 4, 3, 3, 4, 3, 0, 0, 4, 3, 2, 0, 0, 4, 3, 3, 3, 1, 4, 0, 0, 2, 2, 4, 3, 3, 4, 2, 1, 0, 0, 1, 0, 4, 3, 1, 4, 0, 2, 1, 1, 4, 0, 3, 2, 3, 0, 4, 0, 1, 4, 3, 2, 4, 2, 4, 1, 1, 3, 2, 1, 4, 1, 3, 2, 1, 1, 4, 3, 1, 3, 2, 2, 1, 3, 3, 0, 2, 1, 1, 1, 1, 4, 3, 4, 3, 3, 2, 1, 1, 1, 3, 0, 0, 1, 3, 0, 3, 0, 1, 1, 1, 2, 1, 1, 0, 3, 3, 2, 1, 3, 3, 2, 1, 2, 3, 4, 2, 1, 0, 3, 1, 2, 2, 4, 0, 0, 1, 2, 0, 1, 0, 4, 2, 1, 2, 1, 2, 4, 1, 4, 3, 3, 3, 2, 3, 2, 1, 0, 3, 4, 3, 1, 3, 1, 3, 0, 3, 3, 1, 4, 3, 4, 1, 2, 4, 0, 4, 4, 3, 2, 3, 3, 2, 4, 4, 0, 2, 3, 0, 4, 4, 3, 4, 2, 2, 1, 0, 2, 4, 2, 4, 1, 1, 3, 3, 2, 2, 3, 1, 2, 2, 1, 1, 1, 4, 1, 3, 4, 0, 3, 1, 1, 1, 2, 1, 0, 4, 4, 0, 2, 4, 0, 1, 2, 1, 0, 2, 1, 3, 2, 3, 1, 2, 3, 4, 2, 1, 0, 4, 0, 1, 1, 3, 1, 1, 0, 1, 4, 3, 0, 4, 0, 4, 3, 0, 1, 0, 0, 3, 4, 4, 0, 1, 2, 3, 0, 4, 4, 1, 3, 0, 2, 2, 0, 3, 1, 2, 4, 3, 4, 3, 1, 3, 2, 0, 4, 0, 0, 1, 4, 2, 3, 0, 0, 4, 4, 3, 1, 3, 4, 3, 3, 1, 0, 2, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 0, 0, 0, 3, 4, 4, 3, 0, 2, 0, 0, 4, 4, 0, 1, 2, 3, 3, 2, 3, 3, 3, 2, 0, 2, 4, 0, 3, 4, 1, 2, 4, 4, 0, 2, 4, 1, 1, 2, 2, 0, 3, 4, 1, 0, 1, 3, 2, 0, 1, 3, 4, 4, 4, 3, 1, 2, 0, 4, 3, 0, 2, 3, 1, 0, 2, 0, 2, 3, 3, 4, 2, 3, 4, 3, 0, 0, 1, 3, 3, 2, 0, 3, 0, 1, 1, 1, 0, 0, 2, 2, 3, 4, 2, 3, 1, 3]
pubkeycol885 = [4, 4, 3, 0, 2, 2, 0, 3, 0, 3, 0, 1, 2, 2, 1, 0, 0, 1, 4, 2, 3, 2, 1, 4, 4, 0, 4, 3, 1, 1, 2, 3, 4, 0, 2, 2, 3, 3, 4, 2, 2, 2, 4, 4, 2, 0, 3, 0, 0, 0, 0, 4, 3, 4, 1, 3, 4, 0, 4, 3, 3, 1, 3, 1, 2, 3, 4, 3, 0, 3, 0, 1, 2, 0, 3, 0, 3, 0, 3, 4, 2, 1, 4, 2, 2, 4, 0, 3, 3, 2, 3, 0, 1, 1, 4, 0, 1, 2, 4, 4, 4, 2, 2, 3, 4, 1, 0, 3, 3, 1, 0, 0, 2, 1, 2, 2, 3, 2, 0, 3, 2, 0, 4, 1, 1, 4, 4, 2, 1, 1, 0, 0, 0, 4, 0, 0, 1, 2, 3, 4, 2, 0, 2, 3, 1, 2, 1, 0, 3, 2, 1, 3, 0, 0, 4, 1, 3, 1, 1, 4, 4, 1, 0, 2, 2, 1, 3, 4, 0, 0, 3, 4, 1, 0, 2, 3, 3, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 3, 2, 3, 1, 1, 1, 4, 0, 2, 0, 3, 3, 1, 2, 4, 3, 1, 4, 0, 1, 0, 4, 3, 1, 0, 2, 0, 0, 1, 1, 4, 4, 2, 4, 0, 2, 2, 0, 0, 3, 2, 2, 2, 4, 0, 4, 3, 0, 0, 3, 3, 4, 4, 2, 3, 0, 2, 3, 4, 0, 3, 2, 0, 0, 3, 0, 2, 2, 2, 0, 2, 3, 1, 4, 3, 1, 2, 1, 3, 1, 3, 0, 0, 4, 3, 3, 4, 1, 0, 3, 3, 2, 3, 3, 2, 3, 4, 3, 2, 2, 0, 0, 0, 3, 0, 1, 3, 4, 2, 4, 1, 4, 2, 2, 0, 0, 3, 3, 1, 3, 2, 0, 4, 3, 1, 0, 2, 4, 0, 0, 1, 2, 2, 4, 3, 1, 0, 1, 4, 4, 2, 3, 4, 4, 2, 4, 2, 1, 1, 0, 3, 2, 0, 0, 3, 4, 1, 3, 4, 4, 1, 0, 4, 2, 4, 1, 2, 3, 4, 1, 0, 4, 1, 3, 3, 4, 4, 1, 1, 4, 1, 3, 0, 1, 2, 1, 4, 2, 1, 2, 1, 2, 4, 0, 0, 1, 1, 0, 0, 3, 1, 4, 4, 0, 3, 3, 1, 2, 2, 1, 0, 0, 4, 2, 1, 0, 0, 2, 0, 2, 0, 1, 3, 1, 1, 2, 4, 0, 0, 3, 0, 3, 0, 3, 0, 0, 2, 3, 0, 0, 0, 1, 4, 3, 0, 1, 2, 1, 4, 0, 3, 0, 0, 1, 0, 3, 0, 0, 1, 2, 4, 1, 3, 4, 2, 4, 4, 4, 0, 2, 0, 1, 3, 4, 4, 1, 4, 0, 4, 1, 0, 4, 4, 4, 3, 2, 2, 3, 2, 1, 4, 4, 0, 3, 1, 0, 0, 2, 3, 0, 1, 4, 3, 4, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 3, 3]
pubkeycol886 = [4, 3, 0, 4, 0, 4, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 4, 0, 4, 3, 3, 2, 2, 1, 1, 3, 1, 3, 0, 2, 3, 1, 2, 0, 3, 1, 0, 4, 3, 4, 3, 1, 0, 3, 0, 3, 0, 2, 2, 0, 4, 1, 2, 1, 0, 1, 3, 1, 0, 1, 1, 4, 2, 0, 3, 4, 0, 0, 0, 0, 2, 3, 4, 1, 4, 0, 4, 4, 2, 1, 2, 4, 1, 3, 2, 0, 0, 0, 1, 2, 2, 0, 4, 4, 3, 4, 1, 0, 3, 2, 4, 1, 4, 3, 2, 2, 1, 0, 3, 3, 4, 1, 1, 3, 3, 3, 4, 4, 1, 0, 4, 4, 4, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 4, 3, 1, 3, 0, 1, 3, 1, 4, 2, 3, 4, 2, 0, 2, 4, 0, 4, 0, 0, 3, 3, 2, 1, 0, 2, 0, 2, 1, 4, 3, 3, 3, 1, 2, 1, 3, 2, 4, 2, 2, 4, 4, 2, 4, 1, 4, 4, 3, 0, 2, 1, 4, 3, 3, 2, 3, 1, 0, 4, 4, 2, 0, 4, 1, 4, 1, 1, 0, 3, 3, 1, 3, 3, 4, 1, 2, 4, 4, 1, 2, 0, 3, 4, 2, 3, 3, 2, 0, 1, 4, 1, 4, 0, 2, 2, 2, 2, 0, 2, 0, 3, 1, 2, 0, 0, 4, 1, 3, 1, 2, 3, 0, 1, 3, 4, 2, 3, 4, 4, 4, 0, 3, 0, 2, 0, 3, 0, 0, 3, 0, 3, 2, 2, 4, 3, 2, 4, 4, 3, 3, 4, 2, 2, 3, 4, 4, 3, 1, 3, 1, 2, 0, 1, 4, 4, 1, 1, 1, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 3, 0, 3, 2, 2, 0, 3, 3, 1, 3, 4, 4, 3, 4, 0, 4, 4, 4, 1, 4, 0, 1, 3, 1, 4, 2, 4, 2, 3, 1, 0, 0, 2, 1, 1, 3, 3, 3, 4, 4, 1, 3, 4, 0, 0, 2, 2, 4, 4, 4, 2, 3, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 4, 1, 1, 0, 3, 1, 0, 0, 3, 0, 3, 4, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 3, 1, 1, 0, 4, 1, 1, 0, 0, 4, 0, 0, 3, 3, 2, 4, 3, 2, 3, 3, 3, 0, 0, 1, 1, 1, 1, 3, 2, 0, 0, 1, 4, 2, 0, 1, 1, 2, 4, 2, 0, 0, 1, 0, 2, 4, 3, 2, 2, 2, 3, 1, 2, 2, 0, 0, 4, 0, 2, 1, 3, 4, 1, 2, 2, 4, 4, 4, 3, 2, 3, 0, 0, 1, 4, 0, 2, 0, 1, 1, 4, 4, 2, 2, 2, 2, 2, 2, 3, 2, 0, 3, 0, 1, 4, 2, 1, 0, 2, 4, 1, 1, 4, 3, 3, 0, 1, 4, 0, 4, 3]
pubkeycol887 = [3, 2, 2, 1, 2, 1, 3, 0, 3, 4, 2, 1, 4, 3, 3, 4, 4, 0, 1, 0, 3, 1, 3, 0, 3, 0, 3, 1, 0, 2, 1, 2, 3, 1, 3, 2, 2, 3, 2, 0, 1, 1, 2, 0, 3, 1, 0, 2, 4, 1, 4, 1, 2, 0, 3, 0, 2, 2, 4, 4, 0, 2, 2, 0, 3, 4, 0, 2, 3, 3, 3, 2, 0, 3, 2, 1, 3, 2, 0, 4, 1, 3, 3, 1, 4, 0, 4, 3, 1, 2, 0, 2, 4, 0, 4, 0, 0, 0, 2, 3, 4, 2, 2, 0, 0, 1, 1, 2, 1, 3, 2, 2, 4, 2, 2, 2, 2, 4, 1, 3, 3, 2, 3, 0, 4, 1, 2, 1, 4, 2, 0, 4, 2, 1, 1, 0, 4, 1, 4, 1, 4, 0, 3, 3, 1, 4, 2, 1, 3, 4, 0, 3, 1, 0, 4, 3, 1, 4, 3, 3, 1, 3, 4, 1, 2, 3, 2, 3, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 4, 1, 4, 1, 0, 2, 4, 0, 0, 3, 2, 0, 1, 3, 2, 2, 0, 0, 3, 3, 2, 2, 1, 3, 3, 3, 2, 0, 0, 2, 3, 0, 1, 0, 3, 4, 3, 2, 0, 3, 3, 2, 3, 0, 0, 2, 2, 2, 4, 1, 3, 3, 4, 1, 3, 2, 3, 0, 1, 0, 4, 1, 4, 0, 4, 2, 0, 0, 3, 4, 2, 1, 4, 3, 0, 3, 1, 4, 2, 3, 4, 2, 2, 2, 3, 4, 1, 0, 0, 0, 2, 0, 4, 4, 4, 0, 4, 0, 0, 1, 0, 2, 2, 0, 4, 0, 1, 0, 0, 3, 2, 1, 2, 4, 1, 3, 4, 4, 3, 4, 4, 0, 1, 0, 0, 3, 0, 0, 0, 2, 4, 4, 0, 3, 4, 1, 1, 2, 3, 3, 0, 2, 4, 4, 0, 0, 3, 2, 1, 0, 2, 4, 0, 3, 1, 4, 3, 2, 0, 1, 1, 0, 2, 2, 4, 3, 4, 3, 2, 4, 3, 0, 3, 0, 2, 2, 4, 0, 0, 0, 3, 1, 2, 0, 4, 0, 1, 2, 3, 0, 4, 4, 4, 0, 3, 0, 1, 1, 4, 1, 3, 0, 4, 4, 4, 3, 0, 0, 0, 2, 3, 2, 3, 2, 1, 0, 0, 2, 3, 3, 2, 2, 3, 4, 0, 3, 3, 3, 1, 3, 4, 0, 2, 3, 1, 3, 4, 3, 3, 3, 3, 0, 3, 4, 2, 0, 2, 2, 3, 3, 0, 1, 2, 3, 4, 1, 1, 3, 2, 3, 0, 0, 0, 4, 4, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 4, 0, 0, 1, 3, 1, 2, 2, 0, 2, 1, 0, 3, 3, 1, 2, 2, 3, 2, 2, 1, 3, 4, 2, 1, 0, 1, 1, 1, 4, 2, 0, 1, 3, 1, 0, 2, 1, 3, 2, 4, 2, 1, 0, 2, 2]
pubkeycol888 = [2, 4, 4, 0, 2, 2, 3, 0, 4, 0, 3, 3, 2, 4, 4, 0, 1, 2, 1, 3, 2, 0, 4, 1, 1, 4, 3, 0, 0, 3, 2, 3, 2, 0, 2, 2, 3, 2, 0, 4, 3, 4, 0, 1, 0, 3, 3, 2, 3, 3, 2, 3, 0, 2, 0, 3, 4, 0, 1, 3, 3, 2, 1, 2, 3, 1, 4, 2, 2, 3, 2, 0, 0, 1, 2, 3, 1, 1, 3, 3, 4, 2, 2, 4, 0, 2, 1, 4, 4, 0, 2, 4, 2, 0, 0, 0, 2, 2, 2, 0, 4, 3, 4, 3, 3, 4, 4, 2, 0, 1, 2, 1, 3, 2, 3, 3, 0, 2, 1, 2, 4, 4, 3, 1, 3, 4, 0, 2, 1, 4, 0, 2, 3, 4, 1, 1, 3, 1, 1, 2, 4, 0, 1, 0, 0, 3, 3, 1, 4, 4, 4, 0, 0, 1, 0, 3, 4, 2, 3, 0, 4, 1, 1, 0, 0, 0, 1, 0, 3, 0, 3, 4, 3, 4, 0, 4, 4, 4, 1, 0, 3, 3, 2, 3, 2, 4, 4, 1, 3, 0, 0, 3, 0, 4, 4, 2, 2, 2, 0, 4, 0, 2, 4, 1, 4, 3, 1, 0, 0, 1, 4, 3, 2, 4, 2, 2, 1, 2, 2, 1, 1, 1, 2, 3, 0, 2, 2, 0, 0, 3, 1, 1, 4, 0, 3, 2, 1, 0, 4, 0, 1, 4, 0, 1, 3, 4, 1, 3, 2, 0, 1, 3, 3, 0, 1, 0, 1, 3, 2, 4, 4, 2, 3, 2, 4, 3, 1, 1, 4, 3, 2, 1, 4, 2, 0, 0, 1, 4, 2, 3, 3, 0, 3, 0, 0, 3, 2, 3, 4, 4, 0, 1, 3, 3, 1, 0, 0, 3, 0, 0, 2, 1, 4, 0, 3, 0, 3, 2, 3, 3, 3, 1, 2, 4, 1, 1, 4, 2, 2, 2, 3, 1, 0, 0, 0, 2, 4, 3, 2, 4, 3, 2, 2, 0, 0, 4, 1, 0, 0, 2, 2, 4, 0, 3, 3, 3, 1, 4, 0, 0, 2, 4, 0, 3, 1, 1, 3, 0, 1, 4, 4, 4, 4, 0, 3, 2, 1, 0, 0, 3, 1, 1, 1, 0, 1, 2, 0, 2, 3, 0, 2, 1, 4, 4, 1, 3, 0, 3, 1, 3, 2, 1, 1, 2, 0, 3, 4, 3, 1, 4, 2, 3, 3, 4, 3, 1, 3, 1, 0, 0, 4, 1, 2, 0, 2, 3, 1, 0, 3, 3, 1, 3, 3, 1, 3, 4, 2, 1, 0, 3, 1, 3, 0, 2, 4, 3, 4, 1, 0, 0, 0, 4, 0, 1, 3, 0, 0, 2, 0, 3, 4, 0, 4, 0, 4, 1, 2, 3, 0, 2, 3, 4, 3, 4, 1, 0, 0, 0, 4, 4, 3, 1, 2, 1, 1, 0, 0, 3, 1, 3, 4, 0, 1, 0, 0, 4, 3, 2, 3, 3, 1, 2, 4, 3, 0, 1, 1, 2, 1, 2, 3, 0, 1, 2, 2]
pubkeycol889 = [2, 4, 2, 3, 2, 0, 0, 1, 2, 4, 0, 2, 0, 4, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 4, 1, 1, 3, 0, 1, 1, 2, 1, 4, 4, 0, 4, 1, 2, 2, 0, 3, 1, 4, 4, 1, 0, 0, 3, 4, 2, 0, 4, 4, 0, 3, 1, 2, 3, 3, 2, 0, 1, 3, 2, 1, 2, 1, 2, 0, 3, 4, 0, 4, 4, 3, 3, 1, 1, 1, 0, 0, 3, 2, 3, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 2, 0, 0, 3, 4, 4, 3, 2, 0, 4, 3, 2, 1, 4, 3, 4, 1, 3, 0, 4, 3, 4, 3, 3, 1, 0, 2, 3, 3, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 3, 3, 1, 4, 4, 3, 3, 3, 0, 1, 4, 4, 0, 4, 0, 2, 2, 0, 2, 0, 3, 1, 3, 4, 4, 0, 2, 3, 0, 2, 3, 3, 2, 2, 4, 1, 4, 3, 1, 1, 4, 1, 1, 1, 0, 1, 3, 4, 2, 2, 2, 0, 3, 2, 2, 2, 4, 4, 0, 0, 2, 2, 0, 2, 3, 1, 4, 3, 1, 1, 0, 4, 1, 3, 4, 2, 0, 1, 2, 0, 0, 4, 3, 3, 4, 4, 0, 1, 1, 1, 2, 2, 1, 0, 4, 4, 3, 1, 4, 3, 3, 1, 1, 0, 1, 1, 3, 3, 4, 0, 0, 2, 2, 3, 0, 2, 2, 1, 2, 4, 1, 1, 3, 3, 0, 3, 1, 1, 1, 2, 2, 1, 4, 4, 0, 1, 3, 0, 4, 0, 2, 3, 4, 3, 2, 4, 3, 3, 1, 3, 0, 4, 2, 4, 3, 3, 4, 1, 1, 2, 1, 2, 1, 1, 3, 3, 0, 3, 4, 3, 0, 1, 1, 0, 3, 2, 1, 4, 4, 2, 2, 4, 1, 2, 2, 4, 4, 2, 0, 2, 3, 2, 2, 0, 0, 2, 2, 0, 4, 0, 4, 0, 3, 4, 0, 3, 0, 2, 4, 0, 0, 3, 1, 2, 1, 3, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 4, 2, 4, 4, 1, 2, 3, 3, 0, 4, 2, 1, 1, 1, 0, 4, 2, 4, 0, 0, 3, 1, 3, 3, 2, 4, 2, 2, 1, 4, 3, 3, 4, 1, 3, 3, 4, 2, 1, 3, 0, 4, 2, 1, 4, 2, 2, 0, 0, 2, 3, 4, 2, 3, 0, 0, 4, 2, 3, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 4, 3, 1, 0, 2, 0, 3, 0, 3, 2, 2, 2, 0, 1, 2, 2, 0, 4, 3, 4, 4, 3, 4, 3, 3, 1, 2, 0, 3, 2, 2, 1, 1, 4, 0, 4, 0, 0, 0, 1, 0, 0, 0, 1, 3, 2, 1, 2, 1, 3, 2, 2, 3, 0, 3, 3, 0, 2, 3, 1, 3, 1, 4, 2, 0, 1, 0, 3, 2, 3]
pubkeycol890 = [0, 4, 0, 2, 1, 1, 2, 3, 4, 3, 2, 4, 3, 4, 2, 2, 2, 3, 0, 1, 3, 4, 1, 0, 3, 3, 2, 4, 3, 1, 0, 3, 1, 3, 0, 4, 3, 2, 4, 0, 4, 1, 0, 0, 2, 2, 4, 1, 4, 3, 1, 1, 0, 4, 3, 3, 0, 3, 2, 3, 3, 4, 4, 3, 2, 2, 4, 2, 4, 2, 3, 1, 2, 0, 3, 3, 1, 2, 1, 0, 4, 2, 0, 3, 1, 4, 3, 2, 3, 1, 1, 0, 1, 0, 3, 4, 2, 4, 2, 0, 2, 3, 3, 4, 4, 0, 2, 3, 3, 3, 4, 0, 4, 4, 1, 0, 2, 3, 0, 4, 3, 4, 1, 3, 2, 2, 3, 0, 2, 4, 2, 1, 3, 4, 3, 0, 2, 2, 3, 1, 2, 2, 3, 4, 0, 3, 1, 4, 3, 3, 3, 3, 4, 2, 2, 1, 3, 4, 4, 4, 4, 1, 2, 1, 3, 3, 2, 1, 3, 0, 1, 1, 0, 4, 2, 4, 0, 4, 4, 4, 3, 2, 3, 3, 4, 2, 0, 1, 4, 0, 4, 3, 0, 1, 4, 3, 2, 2, 3, 3, 3, 4, 0, 4, 3, 2, 4, 4, 3, 3, 0, 3, 0, 0, 4, 0, 4, 4, 1, 1, 1, 2, 3, 3, 0, 0, 1, 1, 1, 4, 4, 2, 1, 0, 0, 2, 2, 0, 3, 0, 3, 1, 4, 0, 1, 4, 4, 3, 4, 3, 4, 0, 2, 0, 3, 0, 3, 1, 4, 3, 1, 3, 1, 3, 0, 4, 4, 1, 1, 1, 2, 3, 3, 3, 0, 0, 3, 0, 0, 3, 1, 2, 3, 3, 4, 2, 1, 4, 4, 2, 3, 3, 1, 2, 0, 2, 1, 3, 0, 0, 0, 2, 4, 0, 3, 3, 3, 3, 3, 1, 2, 3, 3, 0, 0, 3, 3, 3, 3, 0, 1, 0, 4, 0, 3, 3, 3, 0, 0, 2, 0, 3, 3, 2, 2, 0, 2, 4, 3, 4, 1, 4, 1, 1, 4, 0, 2, 3, 4, 4, 4, 0, 1, 4, 3, 4, 2, 3, 4, 1, 3, 3, 2, 0, 3, 2, 3, 4, 0, 3, 3, 3, 4, 0, 4, 4, 0, 1, 1, 0, 0, 0, 4, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 3, 2, 4, 0, 0, 1, 3, 0, 3, 4, 2, 3, 0, 0, 4, 2, 2, 2, 1, 3, 0, 2, 0, 0, 2, 2, 2, 1, 4, 4, 2, 4, 0, 3, 0, 2, 0, 4, 3, 1, 4, 1, 4, 3, 4, 1, 2, 0, 4, 0, 2, 2, 1, 2, 4, 0, 4, 3, 2, 4, 2, 2, 1, 0, 2, 3, 4, 2, 2, 2, 1, 1, 1, 2, 0, 4, 4, 1, 4, 4, 2, 0, 3, 4, 0, 1, 0, 3, 2, 4, 4, 0, 0, 3, 3, 0, 3, 4, 4, 1, 4, 3, 0, 4, 1]
pubkeycol891 = [1, 3, 0, 3, 1, 2, 3, 1, 2, 0, 1, 2, 3, 2, 0, 0, 0, 0, 0, 1, 3, 0, 0, 1, 4, 2, 2, 0, 0, 1, 1, 4, 4, 2, 4, 4, 3, 4, 1, 2, 3, 3, 4, 0, 2, 2, 4, 1, 2, 1, 3, 3, 4, 4, 0, 2, 1, 2, 2, 3, 1, 3, 0, 2, 4, 4, 1, 2, 2, 0, 1, 0, 1, 2, 0, 4, 4, 1, 3, 3, 2, 2, 2, 2, 3, 4, 3, 4, 0, 1, 1, 3, 1, 4, 0, 4, 2, 3, 3, 1, 2, 2, 4, 0, 0, 4, 4, 2, 1, 1, 4, 0, 0, 2, 1, 0, 3, 1, 2, 0, 0, 0, 0, 3, 3, 1, 2, 4, 0, 3, 1, 4, 4, 0, 0, 3, 1, 0, 0, 3, 4, 1, 1, 2, 1, 4, 3, 0, 0, 0, 0, 4, 0, 4, 3, 0, 0, 2, 1, 3, 1, 2, 0, 4, 3, 1, 3, 3, 4, 3, 2, 3, 0, 1, 1, 1, 1, 2, 3, 2, 1, 0, 1, 3, 1, 1, 0, 1, 4, 1, 0, 4, 4, 0, 0, 3, 2, 3, 4, 2, 0, 0, 2, 3, 2, 0, 2, 1, 1, 1, 2, 3, 2, 1, 0, 0, 2, 0, 0, 0, 4, 2, 2, 4, 1, 2, 3, 4, 1, 1, 4, 2, 0, 1, 2, 1, 3, 1, 4, 4, 2, 3, 4, 3, 1, 1, 1, 1, 4, 2, 4, 4, 3, 4, 1, 0, 2, 1, 4, 3, 0, 4, 3, 1, 3, 1, 3, 3, 2, 2, 2, 4, 1, 1, 2, 0, 1, 0, 3, 1, 0, 2, 0, 1, 3, 0, 4, 3, 1, 1, 0, 1, 1, 3, 2, 0, 3, 2, 2, 0, 2, 4, 1, 1, 2, 3, 1, 0, 0, 1, 3, 2, 0, 3, 2, 4, 0, 2, 3, 1, 2, 0, 0, 4, 3, 1, 2, 1, 0, 0, 4, 0, 3, 4, 1, 2, 1, 0, 4, 0, 1, 2, 3, 1, 4, 2, 0, 0, 1, 1, 0, 0, 3, 0, 2, 0, 0, 3, 4, 3, 0, 1, 3, 3, 3, 4, 1, 1, 2, 2, 4, 2, 4, 0, 0, 0, 1, 2, 2, 3, 4, 3, 0, 0, 1, 0, 3, 2, 1, 3, 3, 3, 2, 0, 3, 1, 3, 2, 1, 0, 1, 3, 4, 0, 0, 4, 1, 4, 3, 2, 4, 4, 4, 4, 1, 1, 1, 1, 0, 4, 3, 1, 4, 0, 2, 3, 0, 2, 1, 0, 2, 0, 3, 2, 1, 0, 3, 2, 2, 1, 0, 2, 2, 4, 0, 2, 0, 0, 1, 4, 0, 3, 4, 4, 1, 1, 0, 1, 1, 3, 3, 2, 3, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 4, 1, 1, 3, 1, 3, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 4, 0, 3, 3, 4, 4, 0, 0, 4, 4]
pubkeycol892 = [4, 2, 1, 2, 3, 2, 0, 2, 4, 3, 0, 3, 0, 3, 0, 4, 4, 3, 0, 2, 2, 4, 2, 2, 0, 1, 4, 3, 3, 2, 2, 1, 4, 0, 1, 3, 2, 1, 0, 1, 3, 4, 0, 0, 1, 1, 3, 3, 4, 1, 1, 4, 4, 0, 3, 4, 0, 4, 2, 2, 0, 2, 1, 0, 2, 4, 1, 1, 4, 3, 1, 2, 2, 2, 1, 3, 1, 1, 3, 1, 4, 4, 4, 0, 4, 0, 0, 3, 3, 0, 2, 2, 1, 3, 3, 3, 4, 3, 4, 4, 3, 3, 4, 0, 4, 1, 3, 2, 4, 1, 1, 0, 0, 4, 1, 0, 2, 2, 2, 3, 3, 0, 3, 4, 1, 4, 3, 4, 1, 4, 1, 0, 3, 4, 1, 3, 2, 4, 0, 4, 1, 2, 3, 4, 1, 3, 3, 1, 1, 4, 3, 4, 0, 2, 1, 2, 3, 0, 3, 4, 1, 0, 0, 0, 4, 0, 0, 1, 4, 2, 4, 4, 2, 1, 3, 0, 2, 1, 2, 1, 0, 2, 3, 0, 4, 1, 2, 2, 3, 0, 3, 0, 1, 0, 0, 1, 4, 2, 0, 3, 3, 0, 3, 2, 0, 4, 2, 0, 4, 1, 4, 1, 1, 3, 3, 0, 1, 0, 3, 0, 2, 3, 2, 3, 1, 4, 3, 0, 2, 3, 1, 0, 1, 0, 3, 2, 3, 2, 2, 4, 2, 4, 0, 0, 3, 0, 4, 2, 0, 0, 1, 1, 4, 1, 1, 1, 3, 1, 1, 3, 1, 4, 0, 4, 3, 0, 4, 4, 2, 0, 1, 2, 1, 0, 0, 4, 4, 0, 3, 4, 2, 1, 4, 3, 4, 1, 4, 0, 2, 2, 0, 0, 4, 0, 4, 4, 1, 3, 2, 4, 2, 1, 2, 0, 4, 4, 2, 0, 3, 3, 1, 1, 0, 2, 4, 1, 4, 2, 0, 1, 1, 3, 2, 4, 2, 1, 1, 1, 4, 1, 4, 1, 0, 4, 2, 0, 3, 0, 0, 3, 3, 1, 3, 1, 1, 3, 0, 4, 3, 2, 4, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 3, 3, 3, 2, 3, 1, 0, 1, 4, 4, 0, 2, 3, 3, 4, 3, 2, 0, 1, 4, 3, 4, 2, 2, 3, 1, 3, 1, 3, 3, 4, 4, 0, 0, 1, 4, 3, 2, 2, 4, 4, 1, 0, 4, 4, 0, 4, 2, 2, 0, 3, 3, 4, 3, 4, 4, 4, 2, 4, 1, 3, 1, 4, 2, 3, 3, 0, 0, 4, 4, 3, 0, 1, 4, 2, 0, 1, 1, 0, 2, 0, 3, 4, 0, 2, 3, 1, 1, 3, 3, 3, 3, 1, 0, 4, 1, 3, 4, 2, 0, 2, 2, 3, 4, 4, 0, 0, 2, 0, 4, 1, 3, 0, 4, 1, 3, 1, 3, 0, 1, 3, 0, 0, 1, 0, 4, 2, 3, 1, 1, 2, 3, 3, 3, 2, 3, 4, 3, 3, 1, 0, 1, 3, 2]
pubkeycol893 = [4, 2, 3, 0, 0, 3, 0, 1, 3, 3, 1, 4, 2, 2, 2, 0, 1, 3, 4, 1, 0, 3, 1, 3, 2, 0, 1, 0, 2, 3, 1, 2, 0, 4, 1, 2, 1, 3, 4, 3, 3, 3, 4, 0, 2, 4, 1, 4, 3, 0, 1, 1, 1, 3, 3, 1, 1, 3, 2, 4, 4, 4, 2, 2, 3, 1, 2, 1, 2, 1, 4, 1, 3, 4, 3, 3, 4, 2, 3, 0, 0, 1, 2, 4, 0, 0, 1, 3, 2, 4, 4, 2, 1, 3, 1, 4, 4, 3, 0, 2, 2, 0, 4, 4, 3, 0, 2, 1, 1, 0, 1, 1, 4, 4, 4, 1, 2, 1, 0, 0, 2, 4, 0, 2, 4, 1, 1, 3, 3, 4, 3, 0, 2, 2, 2, 3, 3, 3, 2, 4, 0, 3, 1, 0, 1, 1, 3, 4, 1, 1, 1, 4, 3, 0, 0, 4, 2, 3, 2, 1, 1, 2, 1, 2, 0, 0, 4, 0, 0, 2, 0, 4, 2, 3, 2, 2, 3, 0, 0, 3, 1, 1, 4, 4, 1, 4, 0, 1, 4, 1, 1, 3, 3, 2, 1, 1, 3, 2, 0, 0, 2, 1, 3, 4, 4, 4, 4, 4, 1, 1, 1, 4, 3, 4, 4, 2, 0, 0, 0, 2, 4, 1, 3, 3, 0, 4, 3, 3, 1, 2, 1, 2, 2, 1, 3, 0, 2, 4, 0, 4, 2, 4, 2, 2, 4, 4, 4, 4, 4, 2, 3, 0, 3, 3, 0, 2, 4, 4, 0, 0, 2, 0, 1, 4, 4, 2, 1, 1, 1, 2, 4, 3, 2, 3, 3, 1, 1, 3, 3, 2, 2, 3, 0, 4, 0, 4, 4, 0, 3, 0, 2, 3, 0, 3, 2, 1, 2, 0, 2, 2, 2, 4, 3, 1, 4, 3, 1, 0, 3, 0, 1, 2, 4, 0, 2, 4, 1, 1, 2, 0, 2, 3, 3, 2, 2, 2, 4, 0, 1, 3, 4, 4, 2, 3, 3, 2, 2, 0, 2, 0, 3, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 4, 0, 4, 3, 3, 2, 0, 4, 1, 0, 0, 3, 3, 0, 2, 0, 2, 2, 0, 3, 2, 3, 0, 0, 2, 3, 4, 4, 1, 2, 0, 3, 2, 2, 2, 0, 3, 0, 3, 2, 2, 0, 0, 0, 1, 0, 2, 3, 3, 2, 1, 4, 1, 1, 0, 2, 2, 1, 0, 2, 1, 4, 0, 4, 4, 0, 1, 4, 2, 2, 3, 3, 3, 4, 4, 1, 0, 0, 3, 2, 1, 3, 1, 0, 0, 3, 3, 2, 3, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 4, 4, 2, 0, 4, 0, 0, 3, 2, 3, 4, 0, 2, 1, 0, 0, 3, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 4, 0, 1, 1, 1, 0, 0, 1, 4, 2, 2, 2, 3, 0, 0, 4, 1, 4, 1, 3, 3, 1, 0, 2, 4]
pubkeycol894 = [1, 3, 1, 1, 3, 2, 0, 4, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 4, 2, 2, 2, 3, 4, 2, 0, 0, 1, 0, 3, 3, 1, 0, 3, 4, 3, 0, 0, 3, 3, 1, 4, 1, 0, 3, 3, 3, 3, 1, 0, 1, 1, 1, 3, 3, 1, 1, 1, 0, 3, 4, 3, 0, 0, 4, 0, 4, 0, 3, 4, 3, 4, 3, 3, 4, 3, 1, 0, 4, 3, 3, 0, 4, 3, 2, 1, 2, 4, 1, 0, 4, 1, 4, 1, 3, 1, 2, 0, 4, 1, 3, 4, 3, 1, 2, 3, 0, 3, 3, 2, 4, 1, 4, 3, 1, 1, 4, 1, 2, 1, 1, 4, 4, 2, 4, 3, 1, 3, 0, 2, 3, 0, 2, 0, 3, 1, 2, 3, 2, 4, 3, 0, 2, 1, 4, 0, 4, 2, 0, 1, 1, 1, 2, 3, 3, 3, 0, 3, 1, 2, 1, 3, 0, 0, 4, 3, 0, 0, 4, 0, 1, 3, 3, 4, 1, 0, 1, 4, 0, 2, 1, 2, 3, 4, 0, 2, 3, 4, 3, 4, 2, 1, 1, 3, 4, 4, 1, 0, 1, 0, 2, 1, 0, 1, 4, 4, 1, 0, 0, 2, 2, 3, 2, 1, 0, 0, 3, 4, 3, 4, 0, 4, 3, 3, 3, 4, 1, 3, 0, 4, 4, 2, 2, 2, 1, 1, 0, 4, 3, 2, 0, 4, 3, 2, 2, 4, 4, 2, 2, 1, 4, 2, 3, 1, 3, 2, 0, 3, 4, 4, 1, 4, 4, 3, 2, 3, 3, 4, 2, 4, 3, 2, 1, 3, 3, 0, 2, 4, 2, 4, 2, 1, 0, 3, 3, 0, 4, 3, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 3, 3, 3, 2, 0, 1, 2, 1, 2, 1, 4, 0, 1, 4, 2, 2, 3, 4, 2, 4, 2, 0, 1, 2, 1, 1, 2, 1, 0, 3, 3, 4, 1, 2, 4, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 3, 1, 1, 2, 0, 0, 3, 3, 3, 3, 2, 3, 3, 4, 0, 3, 3, 0, 4, 4, 0, 4, 3, 3, 2, 4, 1, 0, 0, 4, 2, 2, 3, 0, 2, 4, 3, 4, 1, 1, 3, 0, 2, 2, 1, 3, 2, 1, 0, 4, 1, 1, 2, 3, 1, 0, 4, 4, 4, 3, 3, 3, 1, 4, 4, 4, 3, 2, 0, 1, 2, 0, 3, 1, 0, 1, 4, 0, 3, 0, 2, 3, 4, 1, 4, 1, 1, 2, 4, 1, 0, 2, 0, 2, 3, 0, 4, 0, 0, 0, 1, 0, 2, 0, 0, 4, 4, 3, 2, 2, 1, 1, 1, 3, 4, 0, 0, 4, 3, 1, 2, 4, 1, 2, 0, 2, 0, 0, 3, 4, 4, 3, 2, 1, 2, 1, 4, 3, 3, 1, 3, 2, 3, 2, 2, 0, 1, 3, 0, 2, 2, 1, 3, 0, 1, 2, 4, 1, 0]
pubkeycol895 = [1, 3, 1, 2, 3, 1, 2, 4, 1, 1, 3, 4, 1, 3, 0, 4, 1, 0, 3, 2, 2, 4, 3, 2, 3, 2, 0, 4, 4, 1, 4, 3, 2, 3, 0, 2, 3, 1, 2, 3, 1, 2, 0, 4, 3, 3, 4, 4, 1, 3, 2, 1, 1, 0, 2, 3, 4, 2, 0, 1, 3, 3, 3, 3, 0, 2, 3, 0, 1, 2, 0, 0, 2, 2, 3, 4, 1, 2, 0, 3, 0, 2, 1, 4, 1, 2, 2, 0, 1, 1, 1, 2, 3, 1, 0, 0, 4, 1, 1, 2, 0, 3, 3, 3, 0, 4, 3, 0, 1, 0, 4, 1, 2, 1, 2, 4, 2, 1, 1, 1, 0, 4, 3, 2, 0, 3, 1, 3, 1, 2, 1, 2, 2, 4, 0, 0, 3, 3, 4, 1, 0, 1, 0, 3, 0, 0, 2, 3, 2, 4, 3, 4, 2, 4, 1, 3, 1, 4, 2, 1, 1, 3, 4, 2, 2, 0, 3, 2, 3, 2, 3, 4, 1, 2, 4, 4, 4, 0, 3, 1, 4, 4, 3, 2, 3, 4, 4, 3, 3, 4, 4, 4, 0, 0, 3, 0, 3, 0, 1, 1, 3, 4, 3, 0, 3, 2, 2, 4, 1, 3, 3, 4, 0, 4, 3, 0, 0, 4, 0, 0, 1, 4, 2, 4, 4, 2, 3, 0, 1, 4, 3, 2, 4, 4, 3, 0, 0, 0, 4, 1, 1, 4, 0, 2, 3, 2, 3, 1, 3, 0, 0, 4, 0, 3, 1, 1, 1, 2, 3, 0, 3, 4, 1, 1, 3, 3, 2, 2, 1, 0, 2, 3, 3, 0, 2, 4, 2, 3, 2, 0, 1, 0, 2, 1, 4, 3, 4, 2, 2, 4, 4, 1, 3, 0, 0, 0, 3, 2, 3, 0, 2, 3, 3, 0, 4, 4, 0, 1, 0, 4, 4, 0, 3, 3, 3, 0, 0, 4, 1, 2, 1, 4, 3, 2, 4, 1, 2, 3, 4, 2, 3, 4, 4, 3, 4, 2, 3, 0, 1, 0, 4, 4, 0, 1, 0, 0, 3, 0, 3, 2, 4, 1, 2, 0, 2, 0, 2, 0, 3, 0, 0, 3, 1, 3, 4, 0, 4, 4, 3, 3, 4, 2, 4, 1, 1, 3, 0, 0, 0, 4, 4, 1, 4, 4, 0, 4, 3, 0, 4, 2, 3, 4, 4, 4, 0, 0, 2, 0, 4, 1, 0, 2, 4, 2, 0, 3, 2, 4, 1, 2, 3, 2, 4, 3, 3, 2, 2, 0, 0, 1, 4, 4, 0, 3, 1, 1, 4, 4, 3, 4, 2, 1, 3, 0, 4, 3, 2, 4, 4, 1, 0, 1, 1, 3, 2, 0, 0, 1, 1, 1, 4, 1, 3, 3, 0, 4, 2, 1, 1, 1, 4, 3, 4, 1, 4, 4, 3, 2, 3, 0, 0, 0, 3, 3, 4, 3, 2, 4, 1, 3, 1, 0, 3, 0, 3, 1, 2, 0, 0, 0, 1, 4, 1, 0, 0, 2, 2, 2, 3, 2, 0, 4, 4, 2, 4]
pubkeycol896 = [1, 4, 2, 0, 0, 1, 4, 2, 0, 1, 3, 2, 2, 2, 2, 1, 4, 2, 0, 4, 3, 3, 0, 0, 0, 4, 3, 2, 2, 0, 1, 1, 2, 1, 3, 2, 2, 0, 1, 4, 0, 4, 1, 1, 0, 2, 0, 1, 2, 2, 4, 3, 0, 0, 2, 3, 2, 0, 0, 1, 3, 2, 1, 3, 2, 3, 2, 0, 1, 3, 0, 2, 2, 0, 4, 0, 0, 4, 4, 2, 4, 2, 4, 4, 2, 4, 4, 0, 4, 1, 2, 4, 3, 2, 0, 0, 3, 0, 4, 2, 4, 1, 1, 2, 4, 3, 3, 0, 2, 2, 4, 1, 0, 0, 2, 3, 2, 0, 4, 2, 3, 0, 0, 0, 1, 2, 2, 0, 0, 3, 0, 2, 1, 3, 3, 1, 1, 2, 3, 3, 2, 3, 0, 2, 1, 0, 3, 2, 4, 4, 0, 2, 3, 0, 0, 1, 4, 0, 4, 3, 3, 0, 4, 4, 0, 3, 2, 0, 0, 1, 2, 1, 2, 3, 4, 1, 1, 2, 0, 0, 2, 3, 3, 1, 2, 2, 2, 0, 0, 3, 2, 2, 1, 3, 3, 3, 0, 0, 0, 1, 4, 4, 4, 1, 1, 0, 4, 1, 3, 3, 3, 2, 0, 1, 0, 4, 2, 3, 4, 3, 1, 1, 0, 2, 3, 4, 4, 1, 4, 4, 3, 3, 2, 1, 2, 0, 4, 2, 0, 3, 4, 0, 4, 3, 4, 4, 1, 0, 1, 3, 0, 4, 3, 0, 4, 4, 1, 4, 4, 4, 4, 0, 4, 0, 2, 1, 4, 1, 4, 1, 4, 3, 3, 3, 4, 3, 4, 0, 3, 1, 2, 3, 3, 2, 3, 0, 4, 2, 0, 2, 0, 2, 3, 2, 3, 2, 3, 0, 4, 4, 2, 2, 2, 2, 2, 4, 0, 0, 3, 1, 3, 0, 4, 1, 4, 1, 4, 3, 4, 3, 3, 2, 2, 1, 1, 3, 2, 1, 0, 4, 0, 0, 2, 3, 4, 4, 0, 2, 0, 0, 1, 2, 4, 2, 1, 2, 3, 0, 2, 2, 3, 1, 3, 3, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 3, 3, 0, 1, 3, 4, 3, 2, 0, 0, 1, 3, 4, 1, 0, 3, 4, 0, 0, 3, 4, 4, 1, 2, 2, 3, 3, 1, 4, 4, 0, 2, 1, 4, 0, 0, 1, 2, 0, 2, 4, 4, 0, 2, 3, 0, 4, 1, 0, 3, 0, 0, 1, 3, 4, 3, 3, 4, 2, 1, 4, 4, 1, 3, 0, 2, 1, 2, 3, 3, 1, 1, 2, 0, 1, 0, 4, 4, 1, 4, 2, 2, 3, 1, 4, 3, 0, 3, 1, 4, 0, 2, 1, 0, 0, 4, 0, 2, 1, 2, 4, 1, 0, 4, 2, 3, 3, 0, 0, 0, 4, 0, 3, 2, 3, 4, 3, 4, 1, 1, 4, 3, 1, 4, 3, 2, 4, 2, 4, 0, 2, 0, 4]
pubkeycol897 = [4, 4, 3, 3, 3, 1, 2, 1, 4, 3, 4, 1, 2, 4, 1, 3, 3, 2, 3, 2, 1, 4, 0, 4, 1, 1, 2, 3, 3, 0, 3, 2, 1, 4, 4, 0, 1, 4, 0, 2, 4, 1, 4, 4, 2, 4, 0, 0, 0, 1, 4, 4, 1, 3, 1, 0, 3, 1, 3, 3, 2, 3, 1, 1, 1, 4, 3, 2, 4, 3, 1, 2, 1, 0, 4, 1, 2, 1, 1, 0, 4, 2, 0, 2, 4, 3, 3, 2, 3, 2, 1, 3, 4, 2, 0, 4, 3, 4, 0, 1, 0, 2, 0, 3, 3, 1, 0, 4, 0, 2, 4, 1, 2, 0, 2, 3, 0, 4, 4, 2, 0, 1, 4, 1, 0, 3, 2, 3, 3, 1, 2, 2, 4, 4, 4, 2, 0, 1, 4, 3, 2, 3, 3, 0, 2, 1, 1, 0, 1, 1, 0, 3, 1, 1, 3, 2, 1, 4, 3, 1, 2, 1, 2, 3, 1, 0, 1, 0, 1, 2, 4, 4, 4, 1, 2, 3, 3, 0, 3, 2, 1, 1, 1, 2, 3, 0, 4, 3, 4, 1, 1, 0, 1, 4, 0, 0, 0, 0, 4, 4, 4, 4, 3, 1, 2, 2, 3, 0, 1, 4, 1, 4, 2, 0, 1, 4, 4, 3, 0, 0, 0, 2, 4, 2, 2, 4, 1, 4, 4, 3, 3, 0, 4, 0, 3, 0, 0, 1, 2, 0, 4, 1, 1, 0, 2, 3, 2, 4, 1, 1, 0, 0, 1, 3, 3, 3, 2, 2, 1, 3, 1, 2, 2, 3, 4, 1, 3, 2, 4, 1, 2, 0, 4, 3, 0, 0, 1, 4, 2, 2, 2, 3, 0, 4, 1, 2, 1, 3, 4, 3, 4, 0, 4, 4, 1, 0, 1, 2, 1, 2, 4, 2, 0, 2, 2, 3, 3, 0, 4, 2, 1, 0, 4, 4, 2, 1, 4, 1, 0, 2, 4, 4, 0, 2, 1, 4, 3, 4, 2, 2, 4, 2, 3, 0, 4, 2, 2, 4, 4, 3, 0, 3, 2, 4, 0, 4, 1, 4, 1, 3, 1, 3, 0, 3, 4, 2, 3, 1, 0, 3, 3, 1, 0, 2, 1, 3, 3, 4, 0, 1, 0, 2, 4, 3, 3, 0, 0, 1, 4, 0, 2, 0, 3, 0, 0, 1, 3, 3, 3, 3, 4, 2, 2, 0, 1, 3, 4, 4, 1, 1, 2, 2, 0, 2, 4, 1, 3, 1, 1, 1, 3, 1, 0, 4, 2, 0, 2, 1, 4, 0, 3, 0, 2, 3, 1, 1, 1, 3, 4, 3, 0, 1, 3, 4, 4, 2, 2, 4, 4, 0, 1, 3, 1, 1, 1, 4, 2, 4, 0, 3, 2, 1, 0, 4, 1, 3, 4, 2, 1, 2, 2, 0, 0, 3, 1, 3, 2, 0, 4, 3, 3, 1, 4, 1, 4, 3, 4, 4, 2, 3, 2, 2, 2, 3, 4, 1, 3, 4, 2, 0, 1, 4, 4, 1, 4, 4, 3, 0, 4, 3, 4, 2, 4, 3, 3]
pubkeycol898 = [3, 1, 1, 2, 3, 2, 1, 0, 3, 4, 2, 2, 3, 3, 0, 1, 3, 2, 3, 0, 0, 3, 2, 1, 4, 3, 2, 2, 3, 0, 0, 3, 3, 2, 2, 4, 0, 0, 2, 0, 2, 3, 0, 4, 3, 4, 3, 3, 0, 3, 4, 2, 4, 1, 2, 3, 3, 4, 0, 4, 4, 0, 0, 0, 0, 1, 3, 2, 3, 0, 3, 1, 2, 2, 0, 3, 1, 4, 1, 1, 3, 3, 3, 0, 4, 4, 3, 3, 0, 4, 2, 3, 0, 3, 0, 4, 3, 1, 3, 4, 2, 0, 1, 4, 0, 1, 2, 0, 3, 1, 2, 1, 0, 1, 3, 2, 4, 4, 2, 4, 3, 4, 2, 3, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 4, 4, 1, 1, 4, 4, 2, 4, 4, 0, 3, 0, 4, 0, 4, 2, 1, 1, 4, 0, 2, 4, 0, 4, 2, 0, 1, 0, 4, 3, 0, 0, 4, 2, 4, 3, 3, 1, 1, 3, 2, 4, 0, 1, 0, 3, 3, 1, 0, 0, 0, 3, 4, 4, 1, 0, 4, 0, 3, 1, 1, 1, 4, 3, 2, 2, 0, 4, 1, 3, 1, 1, 4, 2, 1, 0, 1, 3, 0, 3, 2, 0, 1, 1, 3, 0, 2, 2, 4, 0, 2, 0, 2, 4, 1, 0, 2, 1, 2, 2, 4, 4, 1, 3, 0, 4, 3, 4, 0, 0, 2, 4, 3, 0, 3, 0, 3, 1, 1, 4, 2, 3, 3, 0, 3, 1, 1, 1, 2, 1, 3, 3, 2, 1, 0, 3, 4, 3, 0, 1, 0, 1, 4, 1, 1, 3, 3, 4, 4, 1, 4, 1, 2, 2, 3, 2, 2, 3, 4, 1, 3, 4, 4, 1, 3, 0, 1, 1, 1, 4, 3, 2, 4, 4, 3, 1, 3, 0, 2, 1, 3, 3, 3, 2, 1, 2, 4, 1, 0, 0, 3, 0, 2, 4, 0, 3, 3, 2, 0, 3, 4, 1, 0, 2, 1, 3, 2, 1, 2, 4, 3, 3, 3, 3, 1, 2, 1, 2, 3, 0, 1, 2, 0, 3, 2, 1, 1, 4, 2, 1, 2, 2, 0, 1, 0, 0, 3, 1, 0, 1, 0, 0, 4, 4, 1, 1, 2, 4, 3, 3, 4, 2, 0, 2, 4, 1, 1, 0, 4, 0, 4, 3, 0, 3, 2, 4, 3, 3, 3, 4, 2, 3, 0, 4, 0, 0, 3, 1, 0, 2, 0, 4, 2, 4, 3, 2, 1, 4, 1, 0, 4, 0, 4, 1, 2, 0, 4, 3, 2, 4, 1, 0, 2, 0, 4, 0, 1, 4, 4, 0, 0, 3, 2, 1, 0, 1, 3, 3, 0, 4, 3, 0, 0, 2, 2, 0, 2, 0, 3, 4, 0, 2, 3, 4, 3, 1, 0, 2, 1, 2, 4, 1, 1, 2, 0, 0, 3, 1, 0, 2, 4, 2, 4, 4, 4, 4, 2, 0, 1, 3, 3, 3, 4, 4]
pubkeycol899 = [0, 1, 1, 3, 0, 2, 0, 3, 4, 4, 3, 2, 3, 0, 1, 2, 4, 1, 0, 0, 2, 3, 4, 0, 4, 2, 2, 2, 2, 1, 3, 2, 3, 2, 0, 1, 3, 2, 1, 3, 3, 4, 0, 4, 1, 0, 0, 1, 0, 4, 0, 4, 0, 0, 1, 2, 0, 4, 2, 4, 2, 3, 4, 1, 1, 2, 2, 3, 3, 4, 2, 3, 2, 0, 2, 0, 2, 1, 2, 2, 4, 4, 2, 2, 4, 1, 4, 2, 4, 0, 2, 0, 0, 2, 1, 2, 1, 3, 3, 2, 3, 4, 1, 2, 0, 4, 1, 4, 0, 4, 0, 0, 3, 2, 3, 1, 1, 2, 0, 1, 0, 0, 2, 4, 1, 3, 3, 4, 2, 1, 0, 2, 4, 2, 1, 4, 1, 1, 4, 3, 1, 3, 2, 2, 0, 2, 3, 4, 4, 0, 1, 4, 1, 4, 4, 4, 1, 4, 0, 2, 4, 1, 3, 2, 0, 2, 4, 3, 2, 3, 4, 4, 2, 2, 2, 1, 2, 3, 2, 1, 2, 4, 3, 0, 4, 4, 0, 0, 2, 2, 1, 3, 2, 0, 4, 3, 3, 2, 3, 1, 3, 3, 4, 0, 4, 2, 2, 3, 2, 1, 1, 1, 1, 0, 2, 1, 4, 2, 3, 3, 2, 0, 3, 2, 2, 2, 2, 4, 3, 1, 4, 4, 4, 0, 0, 2, 0, 2, 2, 2, 4, 2, 4, 4, 0, 1, 2, 0, 1, 4, 3, 2, 3, 4, 1, 4, 3, 0, 1, 3, 4, 3, 1, 2, 1, 0, 1, 4, 0, 2, 2, 4, 3, 3, 4, 0, 4, 1, 0, 2, 3, 0, 0, 3, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 4, 4, 3, 1, 4, 2, 1, 2, 1, 4, 1, 1, 2, 0, 1, 2, 1, 3, 4, 1, 2, 1, 1, 1, 3, 1, 1, 2, 3, 1, 4, 4, 2, 2, 3, 0, 0, 4, 3, 3, 0, 4, 2, 2, 4, 0, 1, 3, 3, 4, 3, 2, 1, 4, 4, 4, 4, 1, 2, 3, 2, 0, 3, 3, 1, 0, 3, 0, 4, 2, 3, 1, 2, 1, 1, 2, 0, 4, 4, 2, 3, 3, 1, 0, 2, 4, 3, 0, 0, 3, 2, 4, 0, 0, 4, 0, 0, 2, 4, 3, 2, 4, 2, 2, 1, 0, 2, 0, 4, 2, 2, 1, 4, 2, 1, 1, 3, 3, 2, 2, 4, 2, 1, 2, 2, 3, 2, 3, 4, 1, 2, 3, 3, 1, 2, 4, 4, 0, 4, 2, 2, 3, 1, 0, 3, 0, 0, 3, 4, 1, 0, 3, 0, 3, 1, 1, 1, 1, 2, 2, 3, 3, 2, 2, 0, 2, 2, 0, 2, 2, 4, 3, 4, 4, 2, 4, 3, 0, 4, 0, 2, 2, 4, 2, 2, 3, 0, 4, 2, 1, 0, 1, 3, 2, 1, 4, 3, 4, 1, 3, 4, 2, 0, 4, 2, 1, 4, 3, 2, 4, 1]
pubkeycol900 = [2, 3, 0, 0, 0, 4, 0, 2, 1, 0, 0, 1, 4, 3, 1, 0, 3, 4, 1, 4, 4, 1, 2, 0, 2, 3, 1, 0, 2, 4, 1, 4, 2, 0, 3, 0, 1, 0, 1, 2, 2, 2, 1, 4, 1, 1, 4, 0, 1, 3, 2, 4, 2, 4, 4, 4, 4, 0, 1, 0, 2, 2, 2, 4, 0, 4, 0, 1, 4, 1, 3, 1, 3, 3, 4, 3, 0, 0, 4, 2, 3, 3, 0, 1, 1, 1, 0, 2, 1, 3, 4, 3, 1, 0, 4, 0, 3, 0, 0, 2, 3, 4, 2, 4, 1, 0, 1, 4, 0, 1, 2, 2, 3, 2, 1, 0, 1, 1, 1, 2, 3, 0, 2, 3, 4, 4, 4, 3, 4, 3, 1, 4, 4, 3, 4, 2, 1, 2, 4, 1, 3, 1, 3, 0, 0, 0, 2, 3, 3, 2, 4, 4, 1, 1, 1, 0, 2, 2, 0, 0, 0, 3, 2, 1, 4, 2, 2, 1, 0, 1, 0, 1, 3, 4, 2, 1, 2, 3, 4, 4, 3, 2, 0, 3, 0, 2, 2, 3, 2, 0, 2, 0, 1, 3, 3, 0, 0, 2, 1, 4, 1, 2, 0, 4, 4, 0, 0, 1, 3, 2, 4, 2, 4, 0, 3, 0, 3, 3, 0, 4, 4, 0, 0, 4, 1, 1, 1, 1, 3, 2, 0, 1, 4, 3, 0, 2, 0, 0, 2, 4, 2, 4, 2, 2, 3, 0, 0, 3, 3, 2, 2, 3, 4, 1, 4, 4, 4, 2, 4, 2, 1, 3, 3, 0, 1, 3, 2, 0, 1, 3, 3, 0, 0, 4, 4, 0, 2, 3, 2, 4, 2, 0, 0, 2, 1, 4, 1, 1, 4, 2, 4, 0, 3, 4, 0, 3, 0, 1, 0, 3, 4, 2, 2, 1, 0, 4, 3, 4, 3, 0, 3, 1, 4, 3, 2, 4, 1, 0, 4, 2, 3, 4, 4, 0, 0, 2, 1, 3, 1, 4, 4, 4, 3, 0, 1, 3, 3, 3, 0, 1, 0, 1, 2, 4, 1, 1, 4, 1, 4, 3, 2, 1, 4, 2, 3, 2, 4, 1, 2, 4, 0, 2, 1, 1, 2, 4, 3, 2, 3, 3, 0, 4, 4, 2, 0, 4, 4, 1, 2, 1, 0, 3, 2, 3, 4, 0, 0, 2, 2, 2, 4, 0, 3, 1, 0, 2, 2, 3, 3, 2, 4, 3, 4, 0, 2, 4, 4, 1, 4, 4, 2, 2, 1, 0, 4, 4, 0, 0, 1, 0, 2, 1, 4, 1, 3, 2, 2, 2, 3, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 2, 1, 4, 0, 3, 0, 0, 0, 2, 3, 3, 4, 3, 2, 4, 1, 2, 3, 0, 4, 1, 1, 3, 3, 0, 0, 1, 3, 2, 4, 2, 2, 1, 2, 3, 2, 4, 4, 2, 3, 1, 2, 4, 0, 0, 2, 3, 4, 4, 1, 3, 1, 3, 4, 2, 0, 0, 3, 4, 0, 4, 2, 4, 4, 0, 2]
pubkeycol901 = [3, 3, 0, 0, 0, 0, 4, 1, 0, 3, 2, 0, 3, 1, 1, 0, 4, 2, 0, 3, 1, 2, 3, 2, 4, 0, 4, 4, 0, 4, 4, 1, 3, 3, 2, 0, 4, 2, 2, 2, 2, 2, 3, 0, 3, 1, 2, 0, 3, 0, 4, 1, 3, 3, 1, 4, 0, 3, 3, 3, 4, 0, 0, 2, 2, 2, 1, 2, 3, 1, 0, 3, 2, 3, 4, 4, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 3, 3, 1, 2, 4, 1, 4, 1, 3, 2, 0, 2, 1, 3, 0, 1, 0, 2, 3, 3, 4, 2, 1, 4, 2, 0, 3, 3, 1, 0, 3, 4, 1, 4, 2, 1, 3, 4, 4, 3, 4, 1, 3, 3, 4, 2, 4, 3, 3, 2, 1, 4, 4, 1, 1, 4, 1, 0, 1, 4, 0, 3, 4, 2, 4, 2, 3, 0, 0, 3, 3, 0, 2, 0, 2, 3, 3, 2, 2, 2, 4, 4, 4, 4, 3, 1, 4, 3, 2, 3, 4, 0, 0, 0, 0, 1, 4, 2, 3, 4, 2, 3, 4, 2, 3, 0, 3, 2, 1, 2, 4, 4, 2, 1, 4, 0, 2, 2, 2, 1, 3, 0, 1, 3, 0, 3, 2, 0, 0, 1, 4, 1, 0, 2, 3, 4, 0, 3, 4, 3, 1, 2, 3, 3, 4, 2, 4, 1, 4, 4, 3, 2, 1, 0, 4, 3, 2, 1, 0, 3, 2, 1, 0, 4, 1, 0, 4, 0, 3, 0, 2, 0, 4, 2, 0, 1, 0, 0, 3, 3, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 3, 3, 4, 2, 0, 4, 3, 4, 2, 3, 3, 2, 0, 4, 2, 0, 4, 3, 4, 1, 3, 0, 2, 1, 0, 4, 0, 3, 3, 4, 0, 3, 2, 4, 0, 4, 4, 2, 4, 2, 1, 0, 1, 4, 4, 2, 0, 2, 3, 0, 1, 0, 4, 2, 0, 3, 1, 0, 2, 4, 4, 1, 2, 0, 2, 0, 1, 0, 1, 2, 3, 0, 0, 3, 4, 0, 0, 0, 4, 3, 4, 3, 3, 0, 0, 2, 0, 2, 3, 3, 2, 0, 2, 2, 1, 3, 2, 3, 3, 2, 4, 1, 3, 2, 0, 2, 2, 4, 0, 3, 2, 2, 1, 3, 1, 2, 3, 0, 4, 0, 3, 1, 0, 3, 1, 1, 1, 4, 3, 3, 4, 3, 0, 2, 3, 1, 1, 0, 2, 0, 3, 1, 2, 4, 3, 1, 2, 1, 4, 1, 2, 0, 1, 2, 3, 3, 2, 4, 1, 2, 1, 3, 0, 0, 2, 3, 3, 2, 4, 2, 2, 0, 4, 1, 3, 2, 2, 2, 1, 0, 3, 2, 3, 1, 1, 3, 3, 3, 4, 0, 4, 1, 3, 1, 3, 4, 4, 2, 1, 1, 0, 4, 3, 3, 4, 3, 3, 0, 1, 3, 0, 3, 1, 0, 1, 3, 3, 0, 3, 1, 4, 0, 2, 1, 2, 4, 0, 2, 1]
pubkeycol902 = [1, 3, 0, 1, 1, 3, 0, 3, 4, 2, 4, 3, 3, 3, 3, 0, 1, 2, 1, 3, 4, 1, 2, 1, 1, 4, 3, 3, 1, 0, 1, 1, 2, 2, 0, 3, 0, 1, 1, 0, 4, 3, 0, 0, 2, 3, 4, 1, 0, 4, 1, 3, 0, 3, 1, 1, 0, 0, 1, 3, 2, 0, 4, 0, 2, 3, 4, 1, 4, 1, 3, 2, 0, 0, 0, 3, 4, 4, 4, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 4, 4, 4, 4, 1, 0, 2, 1, 3, 4, 0, 3, 1, 2, 3, 4, 2, 4, 3, 2, 1, 4, 3, 4, 2, 1, 0, 3, 3, 0, 1, 1, 1, 4, 2, 4, 0, 4, 4, 4, 4, 3, 1, 3, 2, 3, 0, 3, 3, 2, 3, 1, 3, 1, 3, 0, 0, 1, 4, 4, 1, 1, 2, 3, 4, 1, 2, 1, 2, 1, 2, 3, 3, 2, 2, 3, 4, 1, 0, 2, 1, 4, 3, 1, 2, 4, 4, 0, 4, 3, 2, 3, 1, 0, 2, 2, 4, 4, 4, 1, 0, 1, 3, 3, 4, 1, 2, 4, 0, 2, 4, 3, 4, 1, 0, 3, 1, 0, 3, 2, 0, 3, 1, 2, 4, 3, 2, 3, 1, 1, 1, 0, 0, 3, 4, 0, 4, 1, 4, 1, 1, 3, 1, 1, 0, 4, 4, 0, 3, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 3, 1, 0, 2, 0, 0, 0, 2, 4, 1, 4, 2, 1, 2, 2, 4, 4, 1, 1, 2, 0, 1, 0, 0, 2, 4, 4, 1, 2, 0, 2, 0, 4, 4, 3, 2, 2, 2, 3, 2, 1, 4, 3, 3, 2, 3, 1, 0, 1, 0, 3, 0, 2, 1, 1, 1, 0, 4, 4, 4, 3, 0, 3, 1, 4, 2, 2, 0, 4, 0, 3, 3, 4, 4, 2, 4, 2, 4, 0, 0, 0, 1, 0, 4, 0, 4, 4, 4, 3, 3, 1, 4, 1, 3, 3, 0, 4, 3, 4, 4, 4, 0, 1, 2, 1, 1, 3, 3, 4, 3, 0, 1, 0, 3, 0, 3, 1, 2, 3, 0, 1, 0, 0, 3, 2, 0, 4, 2, 2, 3, 2, 3, 4, 4, 0, 1, 4, 3, 0, 2, 2, 3, 0, 1, 1, 4, 4, 0, 2, 2, 2, 3, 0, 2, 4, 3, 2, 4, 3, 0, 0, 1, 3, 2, 2, 3, 2, 4, 1, 3, 1, 3, 4, 1, 3, 0, 3, 1, 1, 3, 4, 1, 4, 0, 0, 2, 3, 0, 4, 0, 2, 0, 4, 2, 1, 3, 2, 1, 4, 3, 0, 3, 2, 0, 0, 0, 2, 2, 0, 0, 2, 4, 3, 4, 2, 3, 2, 3, 2, 4, 0, 1, 4, 0, 0, 3, 1, 1, 0, 0, 1, 0, 2, 3, 2, 0, 1, 4, 2, 3, 0, 0, 4, 2, 2, 0, 2, 4, 3, 1, 3, 2, 1, 1, 0, 2]
pubkeycol903 = [4, 0, 2, 1, 2, 1, 1, 0, 2, 0, 4, 1, 2, 4, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 3, 0, 0, 4, 0, 1, 3, 0, 2, 2, 2, 3, 2, 4, 3, 2, 2, 2, 0, 0, 3, 3, 2, 4, 3, 2, 2, 2, 3, 2, 3, 0, 3, 1, 4, 3, 4, 2, 4, 1, 2, 3, 4, 2, 1, 4, 4, 1, 3, 0, 2, 4, 4, 0, 4, 3, 3, 4, 0, 0, 2, 1, 4, 3, 1, 1, 3, 4, 1, 0, 3, 1, 3, 3, 4, 0, 1, 4, 0, 4, 2, 2, 0, 1, 0, 3, 2, 1, 0, 3, 3, 1, 4, 3, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 3, 4, 3, 3, 0, 4, 0, 4, 0, 0, 0, 4, 2, 2, 3, 3, 0, 1, 2, 2, 2, 3, 2, 1, 3, 0, 3, 2, 4, 3, 1, 1, 3, 1, 1, 0, 0, 0, 4, 3, 4, 3, 2, 2, 2, 3, 1, 3, 0, 2, 1, 1, 3, 3, 4, 2, 0, 0, 0, 3, 3, 4, 3, 1, 0, 0, 1, 0, 2, 1, 4, 4, 1, 4, 1, 4, 3, 4, 0, 4, 2, 2, 2, 4, 4, 3, 2, 4, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 3, 4, 3, 0, 0, 1, 1, 4, 4, 3, 3, 2, 2, 2, 4, 1, 2, 1, 3, 0, 1, 1, 0, 3, 4, 3, 4, 0, 2, 0, 1, 1, 4, 2, 2, 0, 3, 4, 3, 1, 0, 3, 3, 0, 3, 1, 1, 0, 0, 0, 3, 0, 4, 3, 2, 4, 4, 0, 0, 0, 2, 4, 0, 3, 4, 4, 1, 1, 4, 1, 0, 4, 4, 3, 1, 2, 1, 3, 2, 3, 1, 3, 1, 1, 3, 0, 4, 1, 4, 4, 2, 4, 0, 4, 0, 4, 4, 0, 3, 2, 0, 2, 1, 1, 4, 1, 1, 0, 3, 3, 1, 1, 0, 1, 4, 3, 0, 3, 4, 0, 0, 1, 3, 1, 2, 0, 4, 3, 4, 2, 2, 3, 1, 3, 0, 4, 1, 0, 4, 4, 3, 2, 4, 0, 4, 4, 0, 2, 3, 1, 1, 4, 2, 2, 4, 2, 1, 1, 1, 4, 4, 4, 2, 2, 3, 3, 1, 1, 3, 4, 2, 1, 2, 2, 4, 4, 4, 1, 4, 1, 1, 4, 1, 4, 1, 4, 0, 4, 4, 0, 4, 0, 3, 1, 1, 2, 1, 4, 1, 4, 2, 4, 3, 3, 0, 4, 0, 2, 1, 4, 0, 3, 0, 3, 3, 4, 0, 1, 3, 1, 4, 3, 2, 0, 1, 4, 2, 2, 1, 1, 1, 2, 2, 3, 4, 0, 3, 0, 1, 4, 1, 4, 0, 1, 1, 4, 2, 2, 2, 2, 4, 0, 4, 4, 4, 2, 1, 1, 0, 2, 0, 4, 1, 4, 1, 0, 4, 2, 1, 2, 3, 4, 1, 3]
pubkeycol904 = [0, 0, 2, 4, 4, 4, 3, 0, 1, 0, 0, 0, 0, 0, 1, 1, 3, 2, 1, 4, 2, 3, 0, 0, 2, 0, 4, 3, 1, 2, 1, 0, 3, 1, 4, 4, 1, 2, 3, 2, 1, 4, 3, 3, 1, 2, 3, 0, 3, 4, 4, 3, 4, 2, 0, 3, 0, 1, 3, 0, 1, 4, 4, 3, 1, 4, 0, 1, 2, 2, 4, 1, 1, 3, 4, 3, 1, 4, 2, 3, 2, 4, 1, 2, 4, 3, 2, 1, 3, 1, 3, 2, 3, 1, 2, 1, 4, 3, 3, 4, 4, 3, 4, 4, 4, 1, 1, 4, 0, 4, 1, 2, 3, 4, 4, 2, 4, 2, 0, 3, 0, 2, 2, 0, 3, 1, 3, 4, 0, 1, 0, 2, 2, 0, 3, 1, 0, 4, 0, 1, 3, 3, 0, 1, 4, 3, 1, 0, 1, 3, 0, 3, 4, 0, 0, 3, 4, 3, 0, 4, 3, 0, 0, 1, 2, 2, 1, 3, 4, 2, 1, 3, 3, 4, 0, 2, 3, 3, 4, 3, 0, 2, 1, 3, 2, 1, 4, 3, 3, 2, 3, 1, 2, 4, 2, 3, 0, 2, 3, 3, 3, 2, 2, 3, 1, 1, 0, 4, 1, 0, 3, 0, 1, 3, 4, 3, 3, 2, 2, 4, 3, 1, 3, 0, 2, 0, 4, 1, 2, 3, 4, 0, 2, 2, 1, 2, 3, 3, 3, 1, 1, 3, 0, 1, 0, 0, 2, 4, 1, 0, 1, 4, 1, 2, 0, 3, 1, 1, 0, 2, 4, 3, 2, 2, 4, 0, 2, 1, 4, 0, 0, 2, 0, 0, 2, 2, 0, 4, 3, 2, 0, 0, 1, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 3, 2, 1, 0, 4, 1, 3, 1, 2, 0, 3, 3, 2, 4, 2, 3, 4, 0, 4, 4, 4, 2, 2, 1, 3, 0, 0, 1, 2, 3, 2, 3, 1, 0, 3, 4, 1, 3, 2, 4, 4, 0, 4, 1, 3, 4, 4, 3, 1, 0, 2, 3, 4, 0, 0, 2, 4, 1, 1, 0, 0, 3, 1, 4, 1, 1, 0, 4, 1, 2, 4, 4, 4, 4, 0, 4, 3, 3, 0, 4, 0, 1, 0, 4, 2, 1, 0, 3, 1, 2, 1, 3, 2, 4, 0, 1, 1, 1, 3, 0, 2, 4, 0, 0, 2, 3, 1, 3, 2, 3, 4, 0, 4, 4, 1, 2, 4, 1, 2, 2, 0, 2, 1, 0, 0, 4, 4, 4, 1, 1, 3, 0, 0, 0, 0, 3, 0, 0, 2, 3, 2, 3, 4, 1, 1, 4, 3, 2, 1, 0, 0, 4, 3, 1, 2, 0, 3, 4, 0, 2, 4, 4, 1, 3, 3, 4, 4, 2, 1, 3, 3, 1, 4, 4, 0, 1, 1, 3, 2, 0, 1, 3, 0, 3, 4, 0, 3, 0, 3, 4, 4, 1, 0, 1, 3, 3, 1, 4, 1, 4, 2, 0, 2, 3, 0, 2, 3, 0, 3, 4, 1]
pubkeycol905 = [0, 4, 4, 3, 2, 1, 2, 2, 4, 0, 4, 3, 1, 4, 4, 1, 4, 3, 2, 1, 4, 2, 2, 1, 1, 2, 3, 1, 0, 2, 1, 2, 2, 3, 3, 0, 4, 2, 0, 0, 4, 3, 1, 0, 2, 0, 4, 2, 4, 2, 0, 4, 4, 1, 4, 4, 2, 3, 2, 4, 4, 2, 3, 4, 4, 2, 3, 2, 0, 0, 2, 1, 4, 0, 2, 1, 4, 1, 0, 3, 3, 4, 0, 0, 1, 0, 3, 2, 2, 0, 0, 0, 3, 4, 1, 1, 4, 3, 4, 0, 4, 2, 1, 4, 0, 0, 2, 0, 4, 4, 4, 1, 3, 2, 3, 4, 3, 2, 4, 3, 3, 0, 3, 0, 2, 3, 3, 1, 1, 2, 4, 4, 0, 3, 0, 3, 4, 4, 3, 1, 1, 1, 3, 4, 3, 0, 1, 0, 2, 4, 3, 1, 1, 0, 4, 4, 2, 2, 1, 1, 3, 1, 2, 1, 2, 3, 0, 4, 0, 1, 1, 4, 2, 4, 0, 0, 2, 1, 4, 4, 4, 0, 1, 4, 2, 4, 1, 3, 0, 3, 0, 2, 1, 2, 1, 0, 4, 1, 3, 1, 3, 3, 0, 0, 0, 4, 1, 4, 0, 4, 1, 3, 0, 0, 2, 0, 0, 1, 1, 1, 2, 4, 4, 2, 3, 3, 2, 4, 2, 2, 2, 1, 0, 2, 0, 4, 4, 1, 2, 3, 3, 2, 4, 4, 4, 3, 2, 3, 0, 3, 2, 2, 1, 4, 1, 4, 0, 3, 4, 4, 3, 0, 1, 4, 2, 4, 3, 0, 0, 0, 3, 0, 0, 1, 2, 2, 0, 1, 3, 4, 3, 1, 0, 3, 3, 1, 2, 4, 4, 3, 2, 1, 0, 4, 1, 4, 3, 2, 2, 4, 3, 2, 3, 1, 3, 2, 2, 2, 4, 2, 2, 0, 1, 0, 3, 3, 1, 3, 1, 0, 1, 4, 2, 4, 2, 0, 1, 4, 1, 1, 1, 3, 2, 4, 0, 1, 4, 1, 3, 3, 4, 1, 4, 1, 3, 4, 2, 4, 0, 3, 4, 2, 3, 0, 3, 4, 3, 2, 4, 3, 2, 2, 3, 3, 0, 1, 0, 2, 0, 4, 2, 0, 2, 3, 1, 0, 4, 0, 2, 2, 0, 1, 1, 1, 4, 3, 2, 2, 1, 3, 2, 3, 1, 4, 2, 2, 0, 3, 0, 3, 1, 4, 2, 3, 2, 4, 0, 2, 0, 0, 2, 4, 2, 0, 3, 2, 0, 1, 3, 0, 4, 0, 0, 3, 3, 3, 2, 0, 3, 1, 4, 1, 0, 2, 0, 2, 4, 1, 0, 3, 3, 0, 1, 4, 4, 4, 4, 2, 1, 2, 3, 2, 0, 2, 1, 1, 0, 4, 0, 3, 0, 2, 0, 1, 4, 0, 1, 4, 0, 0, 2, 4, 0, 2, 3, 0, 1, 0, 4, 0, 2, 3, 4, 1, 2, 2, 3, 3, 1, 4, 3, 0, 3, 1, 3, 1, 1, 3, 1, 3, 0, 2, 4, 4, 1]
pubkeycol906 = [0, 1, 0, 2, 2, 2, 4, 0, 3, 2, 1, 3, 1, 3, 0, 3, 3, 0, 1, 0, 2, 0, 2, 4, 4, 3, 1, 1, 0, 2, 2, 0, 3, 3, 0, 3, 2, 2, 2, 3, 3, 0, 0, 2, 1, 4, 0, 2, 3, 0, 2, 1, 0, 3, 2, 3, 4, 0, 3, 4, 2, 0, 2, 2, 3, 3, 0, 2, 0, 3, 1, 0, 2, 0, 4, 1, 4, 2, 2, 0, 2, 2, 0, 1, 4, 0, 4, 1, 3, 2, 0, 1, 0, 4, 4, 2, 0, 4, 1, 3, 1, 3, 0, 4, 3, 2, 4, 0, 1, 3, 4, 1, 4, 0, 0, 1, 3, 1, 4, 0, 3, 3, 0, 1, 1, 0, 0, 4, 2, 3, 4, 1, 1, 4, 4, 4, 4, 2, 4, 3, 2, 2, 0, 1, 3, 3, 1, 0, 3, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 3, 3, 2, 4, 0, 1, 4, 4, 1, 0, 1, 2, 4, 3, 4, 1, 3, 0, 3, 3, 1, 2, 0, 1, 4, 3, 4, 1, 4, 4, 4, 1, 2, 4, 1, 2, 3, 4, 2, 2, 3, 2, 4, 4, 2, 3, 3, 4, 0, 2, 1, 2, 0, 0, 3, 2, 3, 1, 1, 4, 4, 4, 3, 2, 3, 3, 4, 2, 3, 4, 0, 2, 1, 3, 2, 4, 4, 3, 2, 2, 0, 0, 1, 1, 3, 0, 1, 3, 2, 1, 3, 2, 0, 2, 3, 3, 3, 2, 4, 3, 1, 0, 0, 3, 2, 1, 3, 1, 4, 3, 2, 0, 2, 3, 1, 1, 4, 4, 2, 3, 1, 4, 2, 2, 3, 2, 4, 1, 4, 0, 2, 3, 0, 4, 2, 0, 1, 2, 2, 4, 1, 1, 2, 3, 3, 0, 4, 3, 1, 3, 4, 2, 3, 1, 4, 3, 3, 0, 3, 4, 2, 4, 1, 0, 2, 4, 0, 4, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 4, 3, 4, 3, 1, 0, 3, 4, 0, 4, 0, 0, 3, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 4, 1, 4, 1, 4, 2, 2, 0, 2, 3, 2, 0, 2, 2, 4, 2, 0, 3, 3, 1, 2, 4, 0, 2, 1, 1, 2, 2, 1, 3, 1, 3, 3, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 3, 2, 3, 4, 3, 1, 4, 2, 3, 0, 2, 3, 3, 3, 2, 0, 2, 2, 1, 0, 0, 3, 1, 1, 3, 3, 0, 2, 1, 4, 2, 0, 2, 1, 0, 0, 1, 0, 0, 4, 3, 3, 2, 1, 3, 3, 3, 4, 1, 0, 4, 3, 3, 4, 4, 0, 3, 2, 0, 0, 0, 0, 2, 0, 4, 3, 2, 4, 3, 3, 3, 1, 1, 0, 1, 4, 3, 0, 2, 4, 3, 4, 1, 2, 0, 4, 1, 4, 1, 2, 2, 3, 1]
pubkeycol907 = [4, 0, 1, 2, 1, 4, 3, 0, 2, 0, 1, 3, 0, 1, 4, 1, 3, 1, 4, 0, 1, 4, 4, 0, 2, 2, 1, 2, 0, 2, 2, 1, 4, 0, 3, 1, 2, 4, 1, 3, 1, 3, 3, 4, 0, 4, 4, 1, 3, 2, 2, 0, 0, 4, 0, 3, 4, 4, 4, 4, 0, 1, 2, 0, 1, 2, 2, 3, 1, 1, 0, 1, 3, 2, 0, 3, 4, 2, 1, 1, 4, 0, 3, 0, 3, 4, 2, 4, 2, 0, 4, 1, 4, 3, 3, 2, 0, 4, 0, 0, 0, 0, 3, 2, 2, 3, 0, 2, 2, 0, 4, 3, 1, 1, 1, 2, 4, 3, 0, 4, 2, 3, 2, 3, 4, 2, 0, 0, 4, 2, 1, 4, 2, 3, 2, 0, 2, 0, 2, 4, 4, 0, 0, 2, 0, 3, 1, 4, 2, 3, 1, 4, 2, 0, 3, 4, 0, 1, 0, 2, 2, 1, 0, 3, 3, 4, 0, 0, 0, 4, 0, 0, 2, 1, 0, 4, 2, 4, 2, 2, 1, 2, 4, 4, 0, 0, 4, 2, 0, 4, 1, 1, 0, 1, 4, 1, 1, 1, 0, 3, 0, 1, 1, 3, 2, 1, 1, 0, 3, 4, 1, 1, 4, 4, 0, 3, 2, 4, 2, 4, 0, 4, 4, 0, 0, 4, 1, 2, 3, 4, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 4, 3, 2, 3, 3, 0, 2, 2, 0, 2, 1, 4, 3, 4, 3, 3, 1, 0, 1, 3, 4, 0, 2, 4, 1, 3, 1, 2, 3, 3, 0, 4, 2, 4, 4, 1, 3, 3, 2, 0, 3, 2, 1, 3, 3, 2, 4, 0, 4, 2, 3, 4, 0, 0, 2, 2, 3, 4, 3, 2, 1, 4, 0, 2, 1, 0, 0, 1, 2, 4, 0, 1, 4, 1, 3, 2, 4, 0, 0, 0, 3, 1, 1, 4, 0, 4, 3, 3, 4, 0, 3, 2, 1, 1, 0, 3, 4, 2, 2, 1, 4, 1, 2, 0, 1, 3, 4, 1, 0, 1, 2, 0, 4, 2, 2, 3, 2, 0, 2, 4, 3, 3, 0, 3, 4, 0, 2, 0, 4, 2, 1, 3, 0, 0, 0, 4, 4, 0, 4, 0, 2, 1, 3, 4, 2, 4, 0, 0, 3, 3, 2, 2, 0, 3, 1, 1, 3, 4, 2, 3, 2, 0, 4, 0, 1, 0, 3, 2, 4, 0, 0, 3, 0, 3, 1, 0, 0, 4, 3, 3, 1, 1, 2, 3, 3, 1, 2, 0, 0, 2, 4, 2, 3, 4, 4, 4, 1, 3, 1, 0, 2, 2, 1, 1, 2, 2, 4, 4, 4, 2, 4, 3, 1, 3, 1, 2, 2, 2, 4, 3, 3, 4, 1, 0, 0, 2, 0, 4, 4, 2, 0, 2, 3, 0, 4, 4, 3, 1, 1, 0, 1, 4, 2, 2, 4, 3, 4, 2, 2, 3, 2, 2, 1, 3, 3, 2, 4, 2, 0, 3, 3, 3, 2, 0]
pubkeycol908 = [4, 1, 0, 3, 1, 1, 4, 2, 1, 1, 2, 3, 4, 0, 3, 1, 4, 2, 4, 0, 4, 3, 2, 0, 3, 4, 2, 2, 1, 0, 3, 1, 4, 2, 3, 1, 2, 4, 2, 2, 1, 3, 2, 4, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 4, 3, 4, 2, 1, 0, 1, 3, 3, 4, 0, 4, 4, 3, 4, 2, 3, 3, 3, 4, 2, 1, 3, 1, 0, 0, 0, 3, 2, 2, 2, 4, 1, 1, 0, 4, 1, 0, 0, 1, 3, 2, 1, 4, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 0, 4, 0, 3, 4, 3, 2, 4, 2, 1, 4, 4, 2, 2, 2, 3, 4, 2, 2, 3, 0, 1, 3, 4, 4, 4, 3, 4, 3, 4, 3, 1, 3, 1, 2, 1, 4, 0, 4, 4, 2, 3, 3, 2, 4, 3, 2, 0, 2, 4, 2, 1, 4, 0, 3, 4, 1, 0, 3, 3, 0, 2, 2, 4, 1, 2, 4, 3, 3, 4, 1, 4, 2, 2, 0, 0, 2, 0, 4, 4, 1, 4, 3, 4, 0, 0, 0, 0, 1, 0, 4, 2, 2, 0, 2, 3, 4, 2, 1, 2, 2, 1, 4, 0, 2, 4, 0, 0, 2, 1, 1, 3, 3, 3, 4, 4, 0, 3, 0, 1, 3, 3, 2, 0, 2, 4, 2, 3, 1, 4, 1, 2, 0, 0, 3, 4, 2, 4, 1, 1, 4, 4, 3, 0, 4, 2, 1, 1, 3, 4, 3, 4, 2, 2, 3, 4, 0, 1, 4, 4, 1, 1, 2, 2, 0, 4, 0, 0, 0, 3, 1, 2, 1, 0, 2, 4, 3, 2, 2, 4, 2, 0, 2, 3, 3, 4, 1, 4, 3, 4, 1, 3, 0, 1, 4, 0, 2, 1, 1, 4, 0, 4, 2, 2, 2, 2, 4, 0, 1, 3, 3, 4, 1, 1, 2, 4, 2, 2, 0, 0, 4, 4, 1, 3, 4, 0, 3, 0, 0, 4, 2, 3, 1, 0, 1, 3, 4, 2, 0, 0, 0, 3, 1, 2, 4, 2, 2, 2, 2, 2, 1, 2, 3, 3, 3, 3, 3, 4, 3, 0, 2, 3, 2, 4, 2, 4, 1, 4, 2, 1, 1, 4, 1, 1, 2, 4, 3, 3, 0, 3, 4, 2, 4, 1, 0, 0, 1, 3, 2, 3, 2, 4, 1, 1, 1, 4, 3, 2, 4, 4, 2, 4, 0, 2, 3, 3, 4, 3, 3, 0, 1, 0, 3, 2, 4, 1, 0, 2, 3, 1, 1, 4, 0, 1, 3, 2, 1, 3, 3, 4, 0, 0, 4, 0, 4, 1, 4, 3, 0, 2, 4, 1, 2, 3, 2, 2, 0, 4, 2, 4, 3, 1, 2, 3, 3, 4, 4, 1, 4, 2, 2, 2, 2, 3, 4, 4, 3, 4, 1, 3, 3, 2, 0, 1, 1, 1, 0, 4, 3, 3, 2, 3, 4, 2, 2, 0, 3, 4, 0, 0, 1, 1, 3]
pubkeycol909 = [3, 4, 2, 3, 0, 2, 0, 3, 1, 0, 0, 1, 0, 3, 4, 3, 4, 4, 0, 2, 2, 0, 0, 4, 4, 4, 4, 4, 1, 4, 4, 0, 0, 0, 4, 2, 2, 3, 1, 3, 0, 2, 0, 2, 2, 0, 3, 1, 4, 1, 0, 3, 3, 2, 4, 3, 0, 4, 2, 2, 0, 0, 4, 2, 4, 0, 1, 1, 1, 1, 4, 0, 2, 3, 4, 4, 2, 1, 2, 3, 1, 2, 2, 0, 3, 0, 2, 2, 1, 4, 2, 4, 4, 2, 3, 3, 3, 0, 4, 4, 4, 2, 3, 2, 2, 0, 2, 3, 3, 1, 3, 1, 3, 0, 3, 0, 4, 2, 4, 0, 1, 1, 0, 4, 3, 2, 4, 4, 2, 3, 1, 4, 2, 4, 1, 4, 1, 4, 4, 4, 0, 4, 1, 2, 3, 3, 3, 4, 0, 0, 3, 2, 3, 3, 0, 4, 2, 1, 2, 2, 1, 0, 4, 0, 1, 2, 2, 3, 0, 0, 0, 2, 1, 4, 2, 4, 2, 4, 1, 0, 0, 2, 4, 4, 2, 1, 0, 3, 2, 2, 4, 4, 4, 1, 3, 2, 2, 3, 2, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 1, 4, 1, 2, 2, 0, 3, 2, 1, 2, 2, 3, 0, 1, 1, 1, 3, 4, 2, 3, 1, 0, 1, 4, 3, 2, 0, 4, 1, 4, 3, 2, 4, 2, 4, 1, 2, 4, 0, 4, 0, 3, 2, 4, 4, 3, 1, 2, 4, 4, 1, 2, 3, 3, 3, 0, 0, 2, 2, 0, 3, 1, 3, 2, 2, 3, 1, 3, 0, 3, 2, 3, 2, 1, 4, 4, 4, 1, 1, 0, 0, 2, 0, 0, 2, 4, 2, 4, 3, 4, 0, 1, 1, 4, 2, 0, 1, 4, 1, 0, 3, 0, 4, 3, 1, 3, 0, 1, 1, 0, 4, 4, 1, 1, 2, 3, 1, 1, 0, 1, 0, 4, 0, 2, 1, 2, 2, 3, 4, 3, 2, 0, 3, 1, 0, 1, 4, 2, 2, 1, 3, 0, 0, 3, 2, 0, 1, 4, 3, 1, 0, 4, 0, 0, 1, 1, 1, 4, 4, 0, 0, 1, 1, 3, 2, 2, 2, 0, 0, 1, 4, 0, 2, 0, 0, 0, 4, 0, 0, 3, 4, 2, 3, 3, 2, 0, 3, 0, 1, 2, 3, 4, 1, 3, 0, 0, 4, 1, 1, 1, 0, 0, 1, 3, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 3, 4, 0, 2, 1, 4, 0, 1, 4, 4, 1, 3, 0, 2, 3, 4, 3, 3, 0, 4, 4, 2, 0, 3, 1, 3, 3, 4, 0, 3, 4, 1, 2, 4, 2, 2, 0, 1, 0, 0, 1, 0, 1, 3, 4, 0, 1, 0, 3, 2, 2, 2, 4, 3, 1, 1, 4, 2, 1, 1, 4, 0, 0, 2, 0, 0, 2, 4, 3, 4, 2, 1, 4, 0, 0, 3, 1, 0, 3, 1, 4]
pubkeycol910 = [3, 1, 1, 4, 4, 3, 2, 4, 4, 2, 0, 3, 0, 2, 4, 3, 0, 1, 4, 2, 2, 0, 4, 0, 4, 1, 0, 0, 2, 2, 4, 0, 0, 4, 4, 2, 1, 0, 1, 0, 0, 3, 1, 4, 4, 3, 0, 2, 3, 0, 3, 3, 4, 1, 0, 2, 4, 0, 4, 3, 0, 2, 4, 4, 3, 1, 4, 0, 4, 1, 1, 4, 4, 4, 3, 0, 1, 0, 3, 4, 4, 1, 3, 4, 0, 4, 4, 2, 0, 1, 0, 4, 0, 0, 0, 4, 4, 2, 2, 4, 3, 1, 4, 4, 1, 1, 3, 3, 0, 1, 0, 3, 0, 4, 4, 4, 4, 1, 3, 4, 1, 0, 2, 1, 2, 4, 3, 2, 2, 1, 0, 1, 4, 2, 4, 3, 2, 3, 1, 2, 1, 4, 2, 3, 0, 2, 4, 1, 4, 4, 2, 4, 3, 4, 3, 4, 4, 0, 1, 0, 1, 2, 4, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 2, 2, 2, 1, 3, 2, 3, 3, 3, 0, 0, 3, 2, 1, 0, 4, 4, 2, 0, 1, 1, 1, 2, 3, 4, 3, 1, 2, 4, 4, 1, 4, 1, 1, 3, 1, 2, 0, 2, 1, 0, 3, 3, 0, 2, 4, 3, 1, 2, 3, 4, 1, 4, 1, 4, 3, 4, 3, 2, 2, 2, 4, 0, 4, 3, 3, 4, 3, 1, 2, 0, 4, 4, 1, 2, 1, 2, 0, 4, 2, 4, 4, 4, 4, 1, 3, 4, 3, 1, 1, 1, 4, 1, 0, 1, 4, 0, 0, 1, 1, 4, 3, 1, 4, 2, 0, 1, 1, 3, 2, 1, 3, 3, 0, 0, 3, 1, 2, 2, 4, 0, 1, 3, 0, 4, 2, 4, 4, 1, 0, 3, 3, 0, 1, 1, 1, 3, 3, 3, 0, 0, 1, 1, 3, 1, 4, 1, 3, 1, 4, 0, 0, 2, 4, 4, 4, 2, 0, 2, 2, 0, 0, 2, 0, 0, 4, 4, 1, 1, 1, 2, 4, 0, 0, 3, 3, 1, 4, 4, 0, 3, 0, 3, 1, 1, 4, 1, 4, 3, 3, 1, 3, 2, 3, 1, 2, 4, 3, 1, 4, 4, 3, 4, 0, 3, 2, 2, 0, 0, 3, 1, 2, 4, 4, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 3, 3, 1, 1, 4, 2, 4, 2, 4, 4, 0, 3, 3, 3, 2, 0, 4, 2, 1, 3, 0, 3, 1, 1, 2, 0, 4, 1, 4, 1, 2, 2, 4, 1, 3, 2, 0, 1, 2, 4, 3, 0, 1, 2, 1, 0, 0, 1, 1, 1, 3, 2, 1, 0, 3, 2, 3, 4, 2, 3, 3, 0, 1, 3, 1, 0, 1, 2, 0, 1, 3, 3, 4, 0, 1, 4, 2, 1, 0, 0, 2, 2, 2, 1, 3, 0, 1, 3, 1, 0, 2, 2, 3, 4, 4, 0, 1, 2, 3, 2, 2]
pubkeycol911 = [1, 0, 4, 1, 2, 4, 4, 1, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 4, 0, 3, 4, 1, 4, 0, 1, 4, 2, 2, 4, 3, 2, 2, 4, 4, 1, 3, 4, 0, 3, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 4, 4, 4, 1, 0, 1, 3, 1, 1, 4, 2, 1, 0, 2, 3, 3, 0, 0, 2, 2, 1, 1, 4, 3, 0, 0, 0, 0, 4, 3, 0, 3, 0, 2, 0, 3, 1, 2, 2, 4, 3, 0, 4, 4, 4, 0, 3, 1, 3, 3, 4, 4, 3, 2, 3, 2, 3, 3, 4, 4, 0, 2, 4, 0, 0, 0, 0, 4, 2, 4, 1, 3, 0, 2, 1, 0, 4, 2, 0, 0, 1, 0, 3, 2, 2, 3, 3, 3, 0, 4, 1, 1, 3, 0, 2, 3, 4, 1, 1, 3, 2, 2, 1, 3, 3, 1, 1, 4, 3, 3, 4, 0, 3, 0, 4, 4, 3, 4, 3, 4, 2, 0, 4, 1, 1, 2, 3, 0, 4, 2, 2, 2, 0, 3, 1, 0, 0, 1, 0, 1, 3, 4, 4, 4, 3, 3, 2, 3, 0, 3, 3, 0, 4, 0, 4, 3, 4, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 4, 2, 1, 1, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 0, 3, 4, 0, 1, 3, 0, 4, 1, 2, 3, 0, 3, 3, 3, 2, 2, 1, 2, 1, 3, 4, 4, 3, 0, 1, 3, 2, 3, 1, 4, 0, 1, 3, 4, 1, 4, 3, 4, 0, 3, 4, 3, 2, 0, 2, 4, 4, 2, 2, 4, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 4, 3, 0, 0, 1, 0, 4, 2, 0, 3, 2, 4, 1, 4, 0, 0, 3, 2, 1, 0, 2, 0, 2, 4, 1, 4, 2, 0, 3, 4, 3, 3, 1, 3, 2, 0, 3, 3, 4, 0, 0, 3, 2, 1, 3, 3, 2, 2, 1, 4, 1, 0, 1, 2, 0, 0, 0, 4, 4, 3, 3, 4, 1, 2, 0, 0, 2, 2, 2, 1, 3, 1, 3, 0, 3, 2, 0, 1, 2, 2, 2, 1, 2, 4, 4, 0, 4, 1, 4, 3, 3, 4, 4, 0, 4, 4, 1, 2, 0, 3, 2, 1, 2, 3, 3, 0, 4, 1, 4, 2, 3, 4, 3, 1, 3, 0, 4, 2, 4, 3, 3, 2, 1, 3, 3, 1, 4, 1, 1, 4, 4, 4, 2, 3, 0, 2, 0, 2, 1, 2, 1, 2, 1, 4, 2, 2, 4, 3, 1, 1, 0, 3, 2, 4, 3, 0, 4, 2, 4, 4, 3, 2, 0, 3, 1, 1, 3, 3, 0, 0, 2, 1, 2, 3, 4, 1, 3, 1, 3, 0, 4, 0, 4, 3, 0, 3, 1, 4, 2, 4, 4, 3, 4, 0, 4, 1, 3, 0, 2, 1, 1, 3, 0, 3, 1, 2, 2, 0]
pubkeycol912 = [2, 2, 2, 1, 1, 0, 0, 0, 4, 4, 4, 0, 4, 1, 0, 2, 3, 4, 2, 0, 4, 4, 0, 0, 1, 0, 1, 1, 1, 1, 3, 4, 1, 1, 0, 3, 2, 1, 1, 2, 0, 4, 1, 4, 2, 3, 4, 1, 2, 1, 3, 2, 2, 2, 1, 4, 2, 3, 2, 2, 3, 1, 0, 2, 4, 0, 2, 2, 2, 1, 1, 4, 0, 2, 3, 4, 0, 0, 0, 0, 4, 1, 3, 2, 0, 4, 4, 1, 1, 4, 2, 0, 3, 2, 3, 4, 2, 2, 0, 0, 1, 1, 2, 1, 0, 4, 4, 4, 1, 0, 1, 3, 2, 1, 4, 3, 1, 4, 0, 1, 4, 2, 4, 2, 1, 4, 0, 3, 1, 0, 0, 0, 0, 3, 4, 1, 0, 2, 1, 2, 3, 1, 2, 3, 1, 2, 4, 0, 1, 0, 4, 1, 3, 2, 4, 4, 2, 3, 1, 0, 2, 1, 3, 1, 0, 2, 3, 0, 2, 3, 0, 2, 0, 1, 2, 1, 2, 4, 3, 3, 4, 3, 0, 4, 2, 2, 3, 0, 0, 2, 4, 0, 3, 1, 0, 1, 0, 2, 1, 4, 4, 3, 0, 3, 3, 4, 2, 2, 4, 3, 1, 3, 1, 1, 1, 0, 3, 1, 2, 2, 3, 1, 0, 0, 0, 2, 2, 3, 4, 3, 0, 4, 1, 4, 0, 0, 4, 3, 1, 1, 3, 4, 0, 0, 2, 0, 3, 0, 1, 3, 2, 1, 2, 0, 1, 2, 2, 4, 0, 0, 1, 1, 3, 0, 1, 0, 0, 3, 0, 4, 3, 2, 2, 3, 0, 4, 1, 3, 0, 2, 2, 2, 4, 2, 0, 2, 4, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 3, 2, 2, 2, 3, 3, 2, 3, 3, 2, 4, 3, 1, 0, 3, 0, 2, 3, 2, 3, 4, 2, 0, 1, 0, 3, 1, 3, 2, 2, 4, 0, 2, 0, 4, 3, 4, 4, 0, 2, 0, 1, 4, 2, 4, 4, 1, 4, 3, 3, 3, 0, 3, 3, 3, 3, 4, 2, 3, 0, 3, 2, 2, 2, 1, 2, 1, 2, 1, 3, 1, 0, 2, 1, 1, 4, 0, 4, 3, 0, 3, 2, 4, 2, 4, 4, 1, 1, 3, 3, 3, 0, 0, 2, 3, 4, 1, 0, 4, 0, 4, 3, 4, 1, 1, 4, 0, 1, 3, 2, 0, 4, 0, 3, 4, 2, 4, 0, 3, 4, 0, 3, 1, 4, 1, 1, 4, 3, 1, 0, 0, 3, 2, 3, 3, 3, 1, 1, 2, 3, 4, 1, 3, 4, 1, 0, 3, 4, 3, 1, 0, 2, 1, 2, 0, 2, 1, 3, 4, 2, 3, 3, 4, 1, 2, 1, 0, 3, 3, 0, 1, 2, 1, 3, 2, 0, 3, 0, 0, 2, 2, 3, 3, 0, 0, 2, 3, 1, 0, 1, 1, 2, 3, 3, 3, 2, 2, 0, 3, 0, 1, 3, 1, 0, 2, 1, 4]
pubkeycol913 = [3, 2, 3, 3, 0, 2, 4, 4, 0, 3, 3, 2, 2, 4, 0, 2, 0, 3, 1, 2, 0, 4, 4, 1, 0, 0, 0, 1, 2, 4, 1, 0, 3, 3, 3, 4, 4, 4, 2, 4, 0, 0, 2, 4, 3, 2, 3, 1, 2, 2, 4, 4, 0, 1, 1, 0, 0, 3, 2, 2, 4, 0, 2, 2, 1, 3, 3, 3, 3, 1, 1, 3, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 4, 0, 2, 3, 1, 3, 0, 1, 1, 4, 2, 1, 0, 2, 4, 3, 4, 1, 4, 4, 1, 2, 4, 2, 4, 2, 0, 2, 1, 0, 4, 2, 4, 2, 1, 4, 2, 0, 1, 0, 1, 0, 1, 3, 2, 1, 3, 2, 3, 0, 2, 3, 4, 0, 1, 0, 1, 2, 2, 3, 3, 3, 4, 4, 1, 4, 4, 2, 1, 2, 2, 1, 2, 3, 1, 4, 1, 1, 0, 4, 2, 0, 0, 2, 2, 0, 3, 3, 2, 1, 3, 0, 3, 2, 3, 2, 0, 4, 2, 4, 4, 2, 2, 3, 1, 4, 1, 1, 3, 0, 0, 3, 0, 1, 3, 4, 3, 2, 1, 2, 4, 2, 0, 4, 2, 3, 3, 3, 2, 1, 0, 2, 4, 1, 2, 2, 0, 0, 2, 3, 4, 2, 4, 1, 2, 1, 3, 1, 3, 1, 0, 0, 0, 0, 0, 4, 4, 4, 2, 1, 3, 1, 4, 3, 2, 0, 2, 2, 4, 1, 3, 1, 3, 0, 0, 4, 3, 3, 1, 1, 3, 4, 4, 0, 1, 4, 4, 4, 3, 3, 2, 1, 1, 0, 3, 0, 2, 4, 4, 2, 2, 0, 3, 3, 3, 1, 2, 2, 3, 1, 0, 0, 3, 3, 4, 1, 0, 0, 4, 2, 4, 0, 0, 4, 4, 1, 1, 4, 3, 1, 4, 2, 1, 0, 3, 4, 4, 3, 4, 1, 1, 4, 0, 4, 3, 1, 1, 3, 0, 1, 1, 3, 4, 3, 2, 4, 3, 1, 4, 4, 1, 3, 2, 1, 1, 1, 2, 1, 3, 4, 4, 2, 3, 0, 3, 0, 3, 2, 1, 3, 3, 4, 1, 3, 0, 2, 4, 0, 2, 3, 0, 4, 1, 3, 3, 3, 1, 3, 0, 4, 3, 2, 3, 2, 4, 2, 2, 3, 2, 3, 4, 1, 3, 2, 1, 3, 3, 1, 3, 0, 2, 3, 2, 0, 4, 0, 0, 3, 3, 1, 2, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 1, 0, 3, 0, 4, 1, 1, 1, 2, 3, 1, 0, 1, 1, 2, 4, 0, 0, 3, 4, 3, 4, 4, 2, 0, 4, 1, 2, 3, 1, 0, 1, 1, 2, 3, 2, 1, 3, 0, 1, 0, 3, 2, 4, 4, 4, 4, 2, 3, 1, 0, 3, 4, 2, 4, 2, 2, 3, 4, 4, 1, 3, 4, 3, 2, 4, 0, 3, 4, 4, 1, 2, 2]
pubkeycol914 = [4, 2, 0, 4, 1, 4, 2, 0, 3, 1, 2, 0, 2, 3, 1, 3, 4, 0, 1, 4, 1, 3, 2, 1, 1, 3, 1, 0, 2, 3, 3, 2, 4, 2, 0, 1, 0, 4, 1, 1, 2, 4, 3, 2, 3, 0, 0, 4, 3, 2, 3, 4, 3, 3, 3, 2, 4, 1, 0, 4, 0, 3, 0, 4, 0, 3, 1, 4, 3, 3, 3, 0, 0, 3, 3, 1, 3, 3, 4, 1, 1, 1, 2, 1, 3, 3, 4, 4, 1, 2, 1, 3, 4, 1, 1, 1, 4, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 3, 1, 2, 3, 1, 0, 4, 2, 0, 2, 0, 4, 4, 1, 0, 2, 0, 1, 2, 4, 2, 2, 2, 3, 2, 1, 4, 3, 2, 0, 0, 4, 1, 2, 0, 3, 4, 3, 0, 1, 3, 1, 4, 3, 2, 1, 4, 1, 1, 4, 3, 0, 4, 2, 4, 4, 0, 0, 4, 1, 3, 0, 3, 2, 0, 1, 3, 0, 3, 0, 2, 2, 1, 1, 1, 0, 2, 3, 2, 3, 4, 4, 3, 4, 2, 3, 0, 0, 0, 4, 0, 2, 1, 2, 4, 4, 2, 3, 4, 3, 1, 1, 3, 2, 2, 2, 1, 2, 0, 2, 4, 0, 4, 4, 3, 0, 4, 1, 3, 4, 2, 2, 1, 3, 0, 1, 1, 1, 2, 4, 3, 0, 3, 4, 0, 1, 4, 0, 2, 0, 1, 0, 3, 4, 4, 3, 1, 2, 3, 2, 1, 3, 4, 3, 1, 3, 3, 1, 4, 2, 0, 1, 1, 2, 2, 0, 0, 4, 4, 3, 4, 0, 0, 1, 1, 1, 3, 2, 0, 3, 3, 2, 4, 4, 4, 4, 1, 1, 4, 1, 0, 0, 2, 4, 3, 3, 1, 4, 3, 2, 2, 4, 1, 4, 2, 1, 0, 1, 1, 3, 3, 2, 1, 4, 0, 3, 0, 3, 2, 4, 0, 2, 4, 3, 3, 0, 1, 4, 0, 4, 4, 2, 4, 3, 1, 0, 3, 2, 4, 3, 1, 2, 0, 4, 2, 0, 4, 1, 2, 1, 1, 0, 2, 3, 0, 1, 0, 3, 0, 3, 3, 2, 3, 4, 2, 2, 4, 4, 1, 3, 2, 3, 2, 1, 1, 1, 2, 4, 2, 4, 4, 4, 3, 2, 4, 1, 0, 2, 3, 1, 0, 2, 3, 0, 3, 0, 0, 3, 2, 3, 0, 0, 0, 2, 3, 3, 0, 3, 0, 1, 4, 4, 4, 2, 2, 4, 0, 2, 4, 3, 0, 3, 3, 0, 1, 0, 4, 4, 0, 3, 4, 3, 2, 2, 4, 1, 3, 1, 0, 3, 3, 1, 0, 4, 0, 3, 3, 3, 0, 4, 4, 1, 3, 4, 1, 1, 2, 0, 4, 2, 1, 4, 0, 1, 1, 3, 1, 3, 4, 3, 0, 1, 1, 3, 2, 2, 0, 1, 1, 0, 4, 2, 1, 1, 0, 3, 4, 2, 1, 0, 2, 3, 1, 1, 3, 0, 0, 4]
pubkeycol915 = [4, 2, 2, 1, 2, 3, 1, 1, 3, 2, 0, 0, 0, 1, 4, 4, 1, 4, 4, 3, 2, 4, 0, 4, 4, 3, 3, 2, 0, 4, 0, 3, 0, 1, 0, 2, 1, 3, 0, 4, 4, 3, 4, 4, 0, 0, 3, 1, 0, 3, 1, 2, 3, 2, 0, 4, 4, 0, 1, 0, 0, 2, 4, 3, 4, 1, 0, 0, 1, 4, 4, 2, 2, 3, 3, 3, 0, 3, 3, 0, 2, 2, 0, 0, 4, 2, 4, 2, 3, 3, 2, 0, 3, 4, 3, 0, 2, 0, 3, 0, 4, 2, 4, 4, 4, 3, 1, 0, 0, 2, 4, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 3, 2, 4, 1, 0, 3, 2, 3, 2, 3, 1, 2, 0, 1, 0, 2, 4, 0, 0, 0, 1, 2, 0, 0, 3, 4, 4, 1, 4, 1, 2, 0, 0, 0, 0, 2, 4, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 4, 1, 4, 4, 1, 0, 4, 1, 1, 4, 4, 4, 2, 4, 2, 3, 2, 0, 1, 4, 0, 3, 2, 1, 1, 1, 1, 4, 1, 4, 0, 1, 0, 2, 0, 0, 3, 2, 1, 2, 2, 2, 0, 4, 4, 4, 0, 2, 1, 3, 1, 4, 2, 3, 4, 0, 4, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 3, 0, 3, 0, 3, 2, 2, 0, 2, 1, 1, 0, 2, 2, 4, 2, 1, 3, 0, 1, 1, 0, 4, 1, 0, 2, 1, 0, 0, 1, 3, 4, 1, 4, 3, 0, 3, 4, 3, 2, 3, 4, 3, 2, 2, 3, 4, 0, 1, 0, 4, 2, 3, 0, 1, 4, 1, 1, 0, 0, 3, 1, 2, 2, 4, 2, 0, 0, 0, 3, 0, 0, 2, 2, 3, 3, 4, 4, 1, 1, 4, 4, 2, 4, 2, 0, 1, 2, 3, 4, 0, 4, 3, 2, 0, 2, 2, 4, 3, 0, 2, 4, 0, 4, 2, 3, 3, 2, 2, 0, 1, 3, 3, 0, 3, 3, 2, 3, 0, 0, 2, 0, 0, 2, 3, 2, 2, 1, 3, 3, 0, 2, 2, 1, 4, 3, 0, 1, 1, 2, 0, 4, 0, 3, 0, 2, 4, 0, 0, 4, 0, 1, 0, 3, 2, 0, 3, 0, 1, 3, 1, 2, 4, 3, 4, 4, 3, 1, 3, 3, 2, 0, 2, 3, 0, 2, 1, 4, 3, 3, 2, 4, 0, 3, 2, 2, 2, 1, 3, 2, 0, 0, 1, 2, 2, 1, 3, 0, 2, 1, 1, 2, 0, 2, 2, 4, 4, 2, 3, 0, 0, 3, 4, 4, 2, 2, 2, 3, 0, 4, 3, 4, 0, 1, 1, 0, 2, 4, 3, 2, 1, 3, 2, 4, 3, 3, 4, 3, 0, 1, 0, 2, 4, 1, 0, 3, 1, 2, 3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 1, 4, 0, 0, 2, 3, 0]
pubkeycol916 = [4, 0, 3, 1, 0, 0, 0, 3, 3, 3, 4, 2, 1, 1, 3, 2, 4, 3, 1, 1, 4, 2, 1, 1, 1, 3, 4, 1, 3, 2, 0, 0, 0, 2, 0, 0, 3, 2, 4, 1, 2, 4, 4, 2, 4, 1, 1, 2, 1, 3, 4, 1, 1, 2, 1, 0, 1, 1, 2, 4, 4, 1, 2, 4, 1, 4, 2, 2, 4, 2, 2, 2, 3, 2, 0, 3, 4, 3, 1, 2, 3, 3, 3, 0, 1, 0, 2, 3, 3, 1, 1, 2, 2, 1, 2, 0, 3, 2, 3, 4, 1, 4, 2, 2, 4, 3, 1, 1, 3, 3, 2, 0, 4, 4, 3, 3, 3, 0, 1, 3, 2, 2, 0, 3, 4, 4, 4, 2, 2, 3, 1, 0, 4, 1, 2, 4, 3, 0, 4, 1, 0, 3, 1, 3, 2, 4, 0, 3, 1, 3, 4, 1, 4, 2, 4, 0, 2, 4, 0, 1, 0, 1, 3, 4, 0, 0, 4, 4, 3, 0, 1, 3, 2, 4, 3, 0, 3, 0, 1, 4, 4, 3, 3, 2, 3, 0, 1, 3, 0, 3, 3, 4, 1, 0, 3, 0, 1, 0, 1, 0, 1, 4, 0, 1, 1, 4, 2, 3, 2, 4, 3, 2, 4, 4, 2, 2, 1, 4, 4, 1, 3, 0, 2, 1, 1, 4, 2, 1, 4, 0, 0, 1, 4, 3, 0, 0, 4, 0, 2, 1, 1, 2, 3, 2, 1, 3, 1, 4, 1, 3, 0, 4, 3, 3, 1, 0, 1, 4, 4, 4, 4, 2, 0, 3, 3, 4, 4, 2, 0, 0, 4, 0, 3, 4, 1, 4, 4, 0, 2, 0, 2, 2, 1, 4, 1, 3, 4, 3, 4, 2, 2, 1, 3, 1, 1, 1, 3, 2, 1, 0, 2, 3, 0, 3, 4, 0, 1, 4, 3, 3, 1, 0, 0, 4, 1, 1, 1, 0, 0, 4, 0, 0, 4, 0, 4, 3, 4, 0, 0, 0, 3, 3, 1, 0, 4, 2, 0, 1, 2, 1, 4, 4, 2, 3, 4, 3, 3, 2, 4, 0, 1, 2, 1, 3, 2, 2, 4, 4, 1, 1, 4, 3, 3, 1, 0, 1, 0, 1, 0, 1, 0, 3, 1, 2, 3, 1, 0, 1, 1, 0, 2, 1, 2, 0, 3, 4, 4, 2, 3, 0, 4, 3, 1, 4, 1, 1, 2, 4, 4, 1, 0, 4, 3, 4, 0, 0, 0, 1, 2, 4, 4, 1, 2, 0, 4, 0, 1, 0, 0, 4, 0, 4, 1, 2, 4, 3, 4, 2, 4, 3, 4, 4, 4, 3, 2, 1, 1, 0, 3, 3, 0, 1, 0, 3, 1, 1, 2, 4, 1, 0, 0, 4, 0, 2, 1, 0, 1, 0, 4, 0, 3, 2, 1, 4, 1, 0, 0, 0, 3, 3, 2, 0, 1, 3, 0, 3, 0, 2, 4, 3, 0, 4, 4, 3, 1, 4, 0, 3, 2, 4, 2, 3, 1, 4, 2, 1, 1, 0, 4, 0, 4, 2, 1, 0, 4]
pubkeycol917 = [2, 4, 2, 0, 4, 0, 1, 1, 4, 1, 1, 4, 1, 1, 2, 0, 2, 4, 2, 0, 4, 2, 0, 2, 4, 4, 3, 3, 4, 1, 1, 0, 1, 3, 4, 2, 2, 1, 3, 0, 4, 2, 4, 3, 1, 4, 3, 2, 2, 4, 1, 4, 2, 4, 0, 1, 2, 1, 1, 4, 4, 4, 4, 2, 0, 3, 2, 0, 2, 2, 1, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 2, 0, 0, 2, 2, 1, 4, 1, 0, 3, 1, 4, 2, 4, 2, 1, 0, 3, 1, 3, 1, 0, 2, 2, 3, 4, 3, 4, 3, 4, 0, 1, 4, 3, 2, 2, 4, 0, 2, 2, 3, 2, 3, 0, 3, 3, 1, 4, 4, 2, 1, 3, 1, 0, 2, 3, 0, 3, 4, 4, 0, 1, 4, 0, 0, 4, 2, 1, 0, 0, 2, 4, 0, 3, 2, 4, 3, 0, 1, 2, 0, 0, 4, 2, 3, 3, 0, 4, 4, 3, 3, 3, 1, 0, 2, 3, 3, 2, 2, 2, 3, 4, 4, 4, 2, 0, 2, 0, 0, 2, 4, 1, 0, 3, 4, 0, 1, 1, 2, 2, 3, 4, 0, 0, 2, 2, 0, 3, 3, 0, 2, 3, 4, 3, 3, 4, 4, 0, 2, 2, 0, 0, 2, 3, 1, 1, 2, 1, 0, 2, 3, 4, 4, 1, 4, 1, 4, 0, 0, 3, 2, 2, 0, 2, 3, 0, 2, 0, 4, 4, 0, 1, 3, 2, 2, 4, 0, 1, 2, 4, 3, 1, 3, 1, 2, 0, 4, 0, 2, 3, 0, 4, 3, 0, 3, 1, 3, 2, 1, 0, 0, 0, 2, 2, 3, 1, 4, 3, 0, 3, 1, 3, 4, 4, 4, 2, 2, 2, 3, 0, 4, 1, 3, 1, 3, 2, 4, 2, 4, 2, 4, 2, 2, 1, 2, 0, 0, 2, 3, 3, 0, 0, 0, 0, 1, 0, 4, 1, 3, 1, 1, 0, 3, 3, 2, 0, 4, 1, 1, 4, 0, 2, 2, 1, 4, 4, 1, 4, 4, 3, 2, 0, 0, 3, 4, 1, 1, 0, 3, 0, 1, 4, 2, 4, 3, 0, 1, 1, 2, 2, 0, 2, 1, 4, 4, 1, 1, 4, 3, 4, 4, 2, 3, 1, 4, 1, 3, 3, 0, 1, 2, 4, 0, 4, 4, 0, 2, 4, 2, 0, 2, 0, 4, 4, 0, 3, 1, 0, 2, 2, 4, 0, 1, 1, 3, 1, 3, 4, 2, 2, 1, 1, 0, 4, 4, 3, 3, 1, 0, 3, 3, 3, 0, 2, 3, 1, 4, 2, 3, 1, 4, 4, 0, 0, 3, 4, 4, 3, 3, 0, 2, 2, 4, 1, 4, 2, 0, 3, 0, 2, 1, 3, 0, 2, 3, 0, 1, 1, 2, 3, 0, 3, 1, 2, 1, 1, 0, 4, 4, 2, 1, 4, 4, 4, 2, 3, 1, 1, 3, 4, 0, 1, 4, 0, 3, 0, 1, 2, 2, 1, 2, 3, 0, 1]
pubkeycol918 = [3, 3, 3, 4, 4, 3, 2, 2, 0, 0, 3, 3, 0, 4, 0, 3, 2, 1, 4, 1, 3, 4, 1, 3, 4, 3, 1, 3, 0, 2, 0, 3, 2, 0, 1, 1, 1, 0, 4, 2, 0, 2, 2, 4, 2, 0, 2, 1, 4, 0, 0, 4, 4, 3, 3, 3, 0, 4, 1, 4, 0, 0, 3, 2, 3, 1, 1, 0, 1, 2, 1, 4, 4, 0, 3, 3, 2, 1, 1, 2, 0, 3, 3, 2, 2, 3, 2, 2, 0, 4, 4, 4, 2, 3, 4, 2, 0, 4, 2, 3, 0, 4, 2, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 1, 4, 3, 3, 0, 2, 1, 2, 1, 2, 3, 4, 0, 3, 2, 4, 1, 3, 3, 4, 0, 4, 3, 4, 2, 1, 4, 0, 2, 3, 1, 3, 0, 1, 2, 2, 4, 1, 3, 2, 1, 4, 1, 3, 0, 1, 2, 4, 0, 4, 2, 4, 4, 1, 3, 1, 3, 3, 1, 2, 3, 1, 3, 4, 2, 4, 4, 3, 3, 1, 0, 1, 0, 1, 2, 1, 3, 1, 3, 4, 4, 0, 0, 1, 4, 2, 4, 1, 4, 2, 2, 3, 0, 4, 2, 3, 4, 1, 0, 1, 2, 4, 2, 1, 2, 3, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 4, 1, 2, 3, 4, 2, 0, 0, 2, 2, 1, 3, 3, 0, 3, 1, 4, 4, 2, 2, 4, 2, 1, 2, 0, 2, 4, 1, 2, 4, 4, 0, 4, 1, 1, 2, 3, 0, 0, 2, 0, 3, 4, 0, 0, 2, 2, 3, 4, 2, 1, 0, 0, 3, 2, 4, 4, 1, 2, 1, 3, 2, 1, 0, 2, 2, 2, 0, 4, 4, 1, 3, 2, 4, 2, 3, 4, 3, 3, 3, 1, 3, 4, 2, 3, 3, 4, 0, 1, 3, 2, 1, 0, 0, 4, 4, 3, 0, 4, 4, 0, 0, 0, 2, 0, 2, 2, 3, 1, 1, 4, 3, 1, 3, 4, 0, 0, 1, 3, 4, 0, 4, 2, 0, 2, 4, 1, 1, 2, 2, 3, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 3, 4, 2, 0, 1, 3, 0, 3, 2, 1, 4, 3, 3, 2, 1, 4, 2, 4, 3, 1, 1, 0, 1, 4, 2, 3, 4, 2, 2, 0, 4, 2, 1, 0, 0, 0, 3, 0, 2, 0, 4, 1, 2, 2, 4, 1, 1, 2, 1, 0, 3, 3, 0, 0, 4, 0, 0, 1, 0, 1, 3, 4, 3, 1, 0, 2, 2, 3, 0, 4, 0, 3, 0, 2, 0, 0, 0, 3, 1, 0, 0, 2, 4, 2, 3, 3, 3, 1, 2, 2, 4, 2, 2, 3, 4, 2, 3, 0, 2, 3, 1, 2, 4, 0, 0, 4, 3, 4, 1, 3, 0, 0, 3, 3, 0, 4, 1, 4, 3, 0, 4, 4, 0, 3, 0, 1]
pubkeycol919 = [4, 4, 1, 2, 2, 3, 3, 1, 3, 2, 4, 4, 4, 2, 0, 4, 2, 2, 0, 2, 2, 0, 0, 0, 0, 3, 0, 2, 4, 0, 1, 1, 3, 4, 4, 0, 4, 0, 0, 3, 1, 1, 1, 3, 3, 2, 4, 3, 0, 0, 0, 0, 1, 0, 4, 1, 4, 2, 1, 1, 3, 4, 1, 3, 3, 0, 4, 4, 3, 0, 0, 0, 0, 3, 4, 0, 3, 2, 3, 2, 4, 2, 4, 4, 4, 2, 0, 4, 0, 4, 3, 4, 1, 2, 1, 4, 2, 3, 3, 4, 0, 4, 4, 2, 4, 1, 0, 4, 2, 0, 2, 2, 2, 0, 3, 3, 1, 0, 4, 3, 2, 4, 2, 1, 2, 1, 3, 2, 3, 0, 0, 1, 3, 1, 1, 4, 0, 4, 2, 3, 3, 0, 3, 0, 0, 4, 3, 3, 4, 1, 2, 1, 1, 2, 1, 4, 2, 0, 1, 4, 1, 3, 1, 0, 3, 0, 0, 4, 4, 2, 2, 3, 0, 4, 3, 3, 3, 2, 3, 4, 4, 3, 4, 2, 1, 1, 3, 1, 0, 2, 0, 3, 0, 2, 1, 0, 1, 0, 0, 1, 3, 0, 2, 3, 0, 4, 4, 3, 2, 4, 1, 2, 0, 1, 4, 2, 3, 2, 3, 4, 3, 2, 1, 4, 3, 1, 3, 2, 3, 0, 1, 0, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 2, 1, 0, 4, 0, 1, 4, 3, 4, 2, 0, 2, 3, 0, 3, 1, 1, 0, 2, 1, 3, 1, 1, 4, 3, 3, 4, 2, 0, 2, 1, 0, 3, 2, 4, 0, 2, 4, 2, 2, 3, 3, 4, 3, 4, 0, 4, 4, 1, 2, 4, 1, 1, 3, 0, 3, 4, 3, 1, 1, 0, 4, 4, 0, 4, 3, 1, 0, 2, 1, 1, 4, 4, 3, 3, 4, 4, 3, 4, 3, 1, 4, 4, 3, 3, 2, 1, 2, 2, 2, 4, 3, 2, 4, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 3, 0, 1, 0, 0, 4, 2, 0, 3, 4, 1, 0, 1, 4, 4, 0, 2, 4, 0, 0, 2, 4, 0, 4, 0, 2, 4, 4, 4, 4, 1, 2, 4, 2, 3, 0, 4, 3, 4, 3, 0, 1, 4, 4, 2, 3, 3, 3, 0, 0, 2, 0, 4, 4, 2, 4, 0, 1, 2, 2, 4, 3, 4, 1, 1, 0, 1, 1, 3, 3, 0, 3, 3, 4, 3, 4, 3, 2, 3, 1, 4, 0, 2, 2, 1, 4, 1, 3, 4, 1, 1, 1, 1, 1, 3, 1, 2, 3, 3, 0, 0, 0, 0, 1, 3, 4, 3, 2, 2, 4, 0, 2, 2, 4, 2, 2, 2, 1, 1, 0, 3, 3, 1, 3, 3, 1, 4, 3, 1, 0, 0, 2, 2, 2, 0, 0, 3, 1, 4, 0, 4, 4, 3, 0, 0, 0, 4, 2, 1, 1, 4, 2, 1]
pubkeycol920 = [0, 3, 1, 4, 3, 4, 3, 3, 0, 0, 3, 4, 2, 3, 4, 0, 1, 4, 2, 3, 4, 0, 3, 4, 2, 4, 4, 0, 2, 2, 1, 0, 2, 1, 4, 3, 1, 1, 3, 1, 2, 4, 4, 4, 2, 3, 4, 1, 1, 0, 1, 4, 2, 1, 0, 4, 2, 0, 1, 1, 4, 0, 0, 2, 3, 0, 3, 4, 2, 1, 0, 3, 1, 2, 1, 3, 2, 0, 3, 4, 2, 1, 4, 4, 3, 4, 1, 4, 0, 1, 3, 1, 0, 3, 4, 0, 0, 2, 4, 3, 1, 3, 1, 2, 3, 0, 1, 0, 4, 4, 2, 3, 0, 1, 4, 0, 3, 1, 2, 1, 0, 0, 1, 4, 3, 1, 4, 3, 1, 0, 3, 3, 3, 1, 0, 0, 0, 3, 2, 4, 2, 3, 0, 1, 1, 3, 3, 1, 2, 4, 4, 4, 2, 0, 4, 3, 4, 1, 4, 4, 2, 2, 0, 0, 0, 1, 2, 3, 2, 0, 3, 3, 0, 2, 3, 2, 0, 1, 3, 1, 4, 0, 0, 3, 2, 0, 1, 2, 1, 2, 0, 1, 4, 3, 0, 0, 3, 4, 0, 3, 1, 1, 4, 0, 3, 3, 3, 3, 0, 2, 2, 2, 3, 4, 1, 1, 1, 4, 1, 0, 0, 1, 4, 1, 3, 4, 3, 2, 1, 0, 1, 0, 0, 0, 0, 0, 4, 0, 2, 1, 1, 3, 4, 2, 3, 0, 0, 4, 4, 3, 2, 3, 1, 2, 4, 1, 1, 4, 2, 4, 2, 4, 2, 0, 1, 2, 2, 4, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 3, 0, 2, 3, 4, 3, 0, 0, 2, 3, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 3, 0, 4, 4, 2, 1, 2, 3, 3, 0, 1, 0, 3, 0, 3, 1, 1, 4, 2, 4, 2, 4, 3, 2, 1, 1, 3, 2, 4, 2, 4, 4, 2, 4, 4, 2, 0, 2, 1, 2, 0, 4, 3, 1, 1, 2, 3, 2, 2, 1, 0, 1, 4, 1, 4, 3, 2, 0, 2, 3, 0, 0, 4, 1, 4, 4, 1, 3, 4, 2, 3, 1, 2, 2, 2, 3, 4, 2, 3, 3, 3, 3, 2, 1, 1, 3, 4, 2, 0, 4, 3, 4, 0, 2, 4, 2, 0, 4, 2, 2, 0, 3, 3, 0, 0, 0, 0, 3, 0, 2, 0, 2, 4, 4, 0, 2, 4, 0, 0, 2, 2, 0, 3, 0, 2, 3, 3, 4, 0, 2, 3, 0, 2, 3, 2, 0, 1, 4, 1, 2, 3, 0, 3, 1, 4, 3, 0, 1, 2, 3, 2, 4, 3, 3, 1, 3, 3, 2, 4, 3, 3, 2, 4, 0, 1, 0, 1, 1, 3, 2, 4, 3, 4, 3, 2, 0, 0, 2, 1, 4, 1, 0, 1, 3, 1, 3, 0, 1, 0, 3, 0]
pubkeycol921 = [3, 4, 1, 0, 3, 1, 4, 3, 4, 0, 2, 3, 4, 4, 2, 1, 2, 1, 3, 0, 1, 1, 3, 3, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 3, 1, 1, 3, 4, 0, 4, 1, 2, 0, 3, 1, 0, 3, 1, 3, 0, 4, 4, 0, 2, 3, 2, 0, 1, 4, 0, 0, 1, 3, 1, 2, 1, 4, 4, 1, 1, 3, 3, 3, 4, 3, 2, 0, 0, 3, 3, 4, 2, 3, 1, 2, 0, 4, 3, 0, 2, 1, 1, 3, 1, 2, 3, 0, 2, 4, 2, 2, 2, 2, 3, 0, 3, 3, 0, 3, 3, 2, 4, 0, 3, 4, 4, 4, 3, 0, 0, 1, 0, 3, 0, 0, 4, 2, 4, 1, 0, 0, 4, 1, 0, 2, 2, 4, 3, 2, 0, 2, 4, 3, 3, 0, 4, 2, 2, 1, 2, 3, 0, 1, 2, 1, 3, 2, 4, 3, 4, 3, 3, 1, 2, 3, 1, 4, 3, 1, 0, 3, 3, 4, 1, 3, 1, 3, 0, 0, 1, 2, 4, 2, 0, 0, 4, 4, 1, 1, 4, 4, 3, 4, 1, 1, 2, 2, 0, 2, 1, 2, 3, 1, 2, 4, 2, 2, 2, 3, 3, 2, 0, 2, 3, 1, 0, 3, 2, 2, 1, 2, 2, 4, 0, 3, 4, 1, 0, 2, 0, 4, 3, 0, 1, 1, 2, 2, 3, 1, 2, 4, 4, 2, 4, 2, 1, 0, 3, 0, 2, 4, 2, 1, 2, 0, 3, 3, 4, 2, 2, 3, 0, 2, 2, 1, 3, 2, 2, 4, 3, 0, 4, 4, 4, 4, 3, 2, 1, 3, 0, 1, 3, 1, 3, 4, 4, 4, 2, 2, 0, 2, 2, 3, 1, 0, 3, 3, 0, 1, 1, 0, 2, 0, 1, 0, 3, 1, 0, 3, 3, 3, 3, 1, 3, 2, 4, 1, 4, 3, 1, 4, 0, 4, 4, 0, 4, 2, 3, 0, 4, 1, 4, 1, 2, 4, 1, 1, 3, 4, 2, 4, 2, 4, 1, 3, 2, 4, 1, 3, 1, 3, 4, 3, 4, 4, 4, 3, 0, 3, 4, 0, 1, 0, 2, 4, 4, 1, 4, 0, 3, 1, 4, 3, 0, 1, 4, 4, 3, 1, 1, 1, 2, 1, 4, 2, 1, 1, 1, 4, 4, 0, 1, 1, 2, 2, 1, 0, 1, 4, 0, 0, 4, 2, 2, 3, 3, 0, 2, 1, 0, 3, 1, 3, 2, 3, 2, 2, 4, 2, 0, 1, 2, 2, 4, 3, 0, 0, 3, 3, 2, 4, 0, 3, 3, 1, 0, 3, 1, 1, 3, 1, 1, 4, 3, 4, 4, 4, 4, 4, 1, 4, 2, 4, 1, 4, 2, 1, 0, 1, 2, 1, 1, 4, 4, 2, 3, 1, 2, 2, 0, 1, 0, 0, 1, 3, 2, 4, 3, 0, 2, 1, 1, 4, 2, 3, 1, 1, 0, 2, 4, 4, 1, 1, 2, 1, 2, 0, 0, 4, 4, 0, 3]
pubkeycol922 = [4, 4, 1, 2, 2, 2, 0, 1, 3, 1, 4, 3, 0, 2, 4, 1, 1, 4, 2, 2, 2, 2, 1, 3, 1, 3, 0, 1, 4, 3, 3, 2, 3, 4, 2, 2, 4, 2, 0, 0, 0, 3, 2, 1, 4, 4, 2, 3, 2, 4, 4, 3, 2, 3, 4, 0, 3, 2, 1, 0, 4, 0, 1, 3, 0, 2, 0, 2, 3, 2, 0, 2, 4, 0, 3, 2, 2, 3, 0, 4, 4, 4, 2, 3, 3, 1, 1, 3, 2, 3, 1, 0, 1, 3, 4, 1, 1, 4, 1, 2, 1, 2, 1, 2, 1, 2, 4, 2, 3, 1, 2, 2, 4, 1, 4, 4, 2, 4, 3, 3, 3, 0, 4, 3, 3, 3, 4, 3, 4, 4, 3, 0, 2, 4, 0, 2, 3, 4, 3, 4, 1, 3, 1, 0, 2, 3, 1, 0, 0, 3, 2, 2, 1, 4, 2, 3, 0, 4, 1, 3, 3, 3, 3, 4, 1, 2, 0, 3, 3, 1, 1, 4, 0, 2, 0, 4, 0, 0, 2, 4, 4, 2, 2, 4, 1, 2, 2, 2, 3, 0, 3, 4, 2, 1, 2, 1, 2, 3, 1, 2, 2, 0, 3, 2, 1, 4, 0, 0, 0, 2, 2, 1, 2, 1, 0, 3, 1, 1, 4, 1, 3, 1, 2, 1, 0, 1, 0, 4, 4, 4, 3, 3, 4, 0, 2, 3, 3, 1, 1, 1, 4, 2, 4, 4, 3, 0, 4, 1, 1, 1, 2, 3, 4, 1, 4, 3, 0, 4, 0, 3, 3, 0, 4, 3, 2, 0, 0, 1, 4, 4, 3, 0, 3, 2, 0, 0, 2, 3, 1, 2, 2, 4, 3, 1, 3, 4, 0, 0, 2, 1, 4, 0, 3, 2, 2, 2, 1, 3, 0, 4, 1, 3, 2, 4, 1, 4, 0, 3, 2, 3, 3, 0, 1, 4, 0, 2, 1, 0, 3, 0, 4, 0, 2, 1, 0, 3, 0, 3, 4, 1, 0, 3, 3, 3, 0, 0, 1, 2, 1, 1, 3, 0, 2, 2, 2, 1, 1, 0, 2, 2, 4, 1, 3, 2, 1, 3, 3, 2, 1, 1, 2, 2, 1, 2, 4, 0, 2, 1, 4, 0, 4, 0, 2, 2, 2, 4, 1, 3, 0, 1, 1, 3, 2, 4, 2, 2, 3, 0, 3, 4, 1, 4, 3, 4, 1, 0, 3, 2, 1, 1, 0, 4, 2, 1, 4, 1, 3, 2, 0, 4, 0, 0, 0, 0, 1, 2, 2, 0, 0, 3, 4, 1, 2, 1, 2, 0, 2, 1, 1, 3, 2, 0, 1, 3, 2, 1, 0, 1, 3, 4, 2, 2, 0, 2, 1, 0, 4, 4, 2, 1, 4, 0, 2, 4, 2, 3, 1, 3, 1, 0, 1, 2, 2, 1, 0, 4, 1, 2, 4, 1, 3, 3, 1, 2, 1, 3, 0, 0, 4, 3, 4, 1, 3, 1, 1, 4, 4, 3, 3, 3, 1, 3, 1, 4, 3, 4, 0, 0, 2, 4, 1, 0, 1, 0, 0]
pubkeycol923 = [1, 0, 3, 3, 2, 1, 2, 3, 0, 2, 0, 4, 1, 3, 3, 1, 3, 2, 4, 1, 2, 1, 4, 1, 1, 2, 3, 4, 4, 0, 1, 4, 4, 2, 0, 2, 3, 4, 0, 1, 2, 2, 2, 2, 2, 3, 3, 1, 0, 2, 4, 2, 2, 0, 4, 0, 3, 4, 4, 0, 3, 0, 1, 4, 3, 0, 0, 4, 3, 0, 0, 2, 4, 3, 3, 0, 1, 3, 0, 2, 1, 1, 3, 3, 2, 2, 4, 3, 2, 3, 3, 4, 1, 1, 0, 1, 3, 4, 0, 1, 1, 0, 2, 0, 3, 3, 2, 2, 2, 2, 0, 1, 0, 4, 0, 0, 0, 2, 3, 2, 1, 1, 0, 1, 2, 3, 1, 4, 2, 4, 4, 2, 1, 1, 4, 4, 3, 2, 0, 2, 2, 4, 3, 0, 2, 2, 0, 3, 1, 1, 1, 3, 3, 1, 0, 2, 2, 3, 4, 1, 1, 4, 4, 1, 2, 2, 0, 3, 0, 2, 4, 1, 0, 0, 3, 3, 3, 3, 1, 0, 0, 3, 0, 2, 3, 3, 0, 0, 3, 2, 0, 0, 3, 1, 2, 1, 1, 2, 0, 1, 1, 3, 2, 4, 3, 0, 2, 4, 2, 0, 0, 4, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 4, 4, 4, 1, 2, 0, 4, 2, 2, 2, 4, 3, 4, 0, 3, 4, 1, 4, 4, 2, 0, 0, 2, 2, 1, 0, 1, 4, 1, 1, 4, 2, 0, 3, 4, 3, 4, 3, 0, 4, 3, 0, 2, 2, 3, 2, 1, 4, 1, 1, 0, 4, 0, 0, 0, 2, 1, 3, 4, 0, 4, 0, 4, 0, 0, 4, 0, 2, 3, 2, 2, 4, 1, 3, 0, 0, 3, 3, 0, 3, 1, 3, 4, 4, 2, 2, 4, 2, 4, 2, 0, 2, 2, 2, 2, 4, 1, 3, 0, 1, 2, 0, 1, 3, 1, 0, 1, 2, 4, 2, 2, 1, 1, 3, 0, 3, 1, 3, 2, 3, 1, 0, 2, 3, 3, 2, 1, 2, 3, 2, 4, 3, 4, 2, 3, 4, 3, 4, 3, 1, 0, 0, 3, 3, 1, 4, 4, 0, 0, 1, 2, 4, 3, 1, 1, 4, 4, 4, 2, 3, 2, 3, 4, 1, 4, 0, 4, 0, 4, 0, 1, 4, 0, 0, 0, 2, 2, 1, 4, 3, 2, 3, 1, 0, 4, 0, 0, 4, 3, 0, 2, 3, 2, 2, 4, 3, 3, 4, 3, 2, 0, 0, 2, 1, 3, 0, 2, 3, 0, 4, 4, 1, 4, 4, 0, 2, 0, 2, 1, 0, 4, 3, 3, 1, 1, 3, 3, 3, 4, 0, 4, 2, 1, 2, 2, 2, 1, 1, 2, 2, 4, 2, 1, 4, 4, 0, 0, 0, 2, 1, 2, 2, 1, 3, 2, 1, 3, 4, 3, 0, 1, 0, 1, 0, 2, 3, 2, 2, 0, 0, 2, 1, 3, 1, 0, 0, 4, 1, 4, 0, 1, 3]
pubkeycol924 = [4, 0, 1, 4, 0, 4, 0, 2, 3, 4, 0, 4, 0, 1, 4, 3, 2, 3, 0, 0, 0, 0, 1, 3, 1, 2, 1, 0, 2, 1, 2, 1, 3, 0, 4, 1, 0, 1, 1, 0, 4, 0, 4, 1, 2, 2, 0, 4, 2, 1, 2, 1, 4, 0, 1, 2, 1, 1, 3, 0, 3, 4, 4, 2, 2, 1, 1, 3, 1, 1, 4, 0, 1, 1, 0, 4, 1, 1, 1, 4, 4, 0, 0, 0, 3, 4, 0, 3, 4, 3, 4, 4, 2, 3, 2, 3, 1, 0, 2, 1, 4, 3, 4, 1, 4, 1, 4, 1, 2, 4, 3, 3, 2, 1, 3, 0, 0, 4, 2, 0, 4, 2, 0, 2, 3, 4, 4, 1, 3, 4, 2, 2, 0, 0, 1, 3, 3, 1, 2, 0, 0, 1, 2, 4, 4, 4, 2, 3, 4, 0, 1, 3, 2, 3, 3, 3, 2, 0, 2, 3, 3, 4, 4, 4, 0, 1, 0, 4, 3, 4, 4, 3, 3, 4, 1, 0, 4, 2, 2, 4, 1, 4, 2, 1, 1, 1, 3, 0, 2, 4, 2, 2, 4, 1, 4, 4, 2, 4, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 3, 1, 3, 3, 3, 1, 3, 0, 4, 1, 3, 0, 3, 4, 3, 4, 4, 3, 2, 1, 2, 3, 4, 4, 4, 0, 3, 3, 3, 4, 4, 1, 3, 1, 1, 0, 0, 4, 2, 2, 4, 1, 4, 3, 0, 4, 2, 3, 1, 1, 2, 2, 0, 4, 0, 0, 0, 0, 1, 3, 2, 2, 2, 1, 1, 3, 1, 3, 2, 0, 4, 1, 2, 2, 0, 4, 4, 4, 1, 0, 4, 0, 3, 4, 3, 3, 4, 1, 4, 1, 1, 2, 3, 4, 4, 3, 3, 0, 4, 2, 2, 2, 0, 1, 0, 4, 3, 2, 2, 4, 3, 1, 1, 4, 3, 1, 2, 3, 2, 0, 0, 3, 3, 2, 2, 0, 2, 0, 2, 0, 2, 3, 1, 4, 3, 3, 4, 0, 1, 4, 3, 2, 2, 1, 3, 0, 0, 0, 1, 1, 0, 0, 3, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 3, 3, 1, 4, 1, 0, 2, 4, 2, 3, 1, 0, 3, 0, 4, 3, 3, 4, 0, 1, 0, 4, 0, 0, 2, 3, 3, 2, 4, 4, 4, 3, 1, 0, 2, 3, 2, 2, 0, 4, 3, 0, 3, 4, 0, 3, 0, 0, 0, 0, 3, 0, 3, 4, 1, 2, 1, 2, 1, 4, 0, 0, 3, 4, 0, 1, 3, 2, 4, 4, 4, 2, 1, 2, 4, 0, 3, 3, 4, 2, 3, 2, 3, 4, 0, 2, 3, 0, 3, 4, 4, 0, 3, 1, 2, 4, 2, 3, 1, 0, 3, 1, 1, 0, 4, 4, 0, 3, 4, 0, 3, 2, 1, 0, 1, 2, 1, 3, 2, 0, 0, 0, 3, 2, 4, 1, 1, 3, 3, 2, 1, 1]
pubkeycol925 = [0, 2, 1, 0, 4, 0, 3, 1, 1, 4, 3, 3, 4, 3, 0, 0, 4, 1, 3, 0, 1, 0, 1, 3, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 4, 0, 2, 1, 1, 1, 1, 0, 2, 3, 1, 3, 4, 0, 0, 2, 3, 3, 0, 3, 4, 4, 0, 0, 3, 2, 1, 2, 4, 2, 4, 3, 2, 2, 1, 1, 4, 2, 3, 4, 2, 4, 2, 0, 3, 1, 1, 2, 1, 0, 1, 0, 3, 0, 4, 1, 0, 1, 4, 2, 3, 2, 1, 4, 3, 4, 3, 4, 2, 1, 1, 2, 4, 2, 1, 0, 0, 2, 1, 4, 4, 0, 0, 1, 0, 3, 2, 2, 0, 2, 4, 1, 2, 3, 2, 3, 0, 2, 1, 1, 3, 1, 2, 1, 3, 3, 4, 1, 1, 1, 2, 0, 3, 0, 1, 4, 2, 3, 4, 4, 0, 3, 1, 4, 0, 1, 0, 1, 2, 3, 4, 1, 4, 1, 0, 4, 0, 2, 2, 2, 1, 0, 3, 1, 3, 3, 2, 1, 1, 1, 3, 0, 1, 0, 0, 1, 2, 1, 0, 3, 2, 2, 3, 1, 0, 2, 0, 3, 2, 4, 3, 3, 0, 4, 1, 2, 3, 3, 4, 1, 0, 3, 3, 1, 3, 4, 2, 0, 4, 1, 1, 0, 4, 0, 0, 4, 2, 1, 3, 0, 2, 4, 3, 3, 2, 1, 0, 3, 4, 4, 2, 1, 3, 3, 1, 0, 0, 2, 1, 1, 3, 1, 4, 4, 2, 0, 0, 4, 4, 0, 1, 2, 0, 2, 3, 4, 4, 4, 4, 2, 2, 0, 1, 4, 1, 3, 4, 1, 3, 0, 0, 3, 2, 3, 4, 4, 3, 0, 3, 3, 3, 4, 3, 0, 1, 3, 2, 4, 2, 3, 1, 1, 3, 1, 2, 4, 4, 3, 2, 1, 1, 1, 4, 0, 4, 3, 3, 1, 2, 3, 3, 3, 3, 3, 1, 0, 1, 1, 2, 2, 2, 0, 2, 3, 3, 4, 0, 3, 0, 4, 2, 0, 3, 1, 0, 1, 2, 1, 2, 3, 1, 2, 2, 0, 0, 3, 2, 1, 2, 1, 3, 1, 0, 4, 2, 3, 3, 1, 3, 2, 4, 1, 3, 3, 3, 1, 1, 0, 3, 1, 3, 3, 3, 2, 0, 4, 2, 3, 3, 4, 2, 4, 3, 2, 2, 0, 4, 0, 0, 3, 0, 0, 0, 4, 2, 1, 0, 2, 1, 1, 4, 4, 3, 3, 0, 2, 4, 0, 3, 1, 3, 4, 0, 2, 2, 1, 3, 2, 3, 4, 4, 1, 4, 0, 2, 0, 1, 3, 1, 1, 2, 2, 0, 3, 4, 4, 4, 0, 1, 3, 1, 4, 3, 0, 1, 4, 2, 3, 3, 1, 3, 0, 3, 0, 3, 4, 4, 2, 3, 1, 1, 1, 1, 4, 2, 4, 4, 3, 0, 0, 3, 0, 3, 3, 1, 3, 4, 4, 3, 3, 1, 1, 4, 3, 3, 4, 2, 3, 3, 1]
pubkeycol926 = [1, 2, 0, 2, 4, 1, 0, 4, 0, 0, 0, 1, 1, 2, 3, 1, 0, 3, 4, 2, 0, 4, 4, 2, 1, 0, 1, 2, 2, 0, 3, 2, 1, 2, 3, 0, 1, 1, 2, 2, 2, 4, 4, 3, 3, 4, 3, 2, 3, 0, 0, 3, 2, 2, 1, 0, 3, 3, 4, 2, 4, 2, 4, 2, 0, 2, 2, 2, 3, 1, 4, 2, 3, 4, 1, 4, 1, 4, 4, 1, 1, 0, 1, 4, 2, 4, 1, 4, 3, 1, 2, 0, 3, 1, 2, 1, 3, 4, 1, 1, 3, 2, 0, 4, 0, 0, 3, 2, 0, 0, 2, 0, 4, 3, 0, 1, 0, 0, 2, 3, 2, 3, 4, 3, 1, 3, 1, 4, 0, 0, 1, 2, 4, 4, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 3, 2, 0, 0, 4, 1, 0, 1, 4, 4, 4, 3, 1, 0, 4, 0, 4, 4, 1, 4, 0, 0, 0, 2, 2, 0, 1, 4, 2, 0, 0, 3, 1, 4, 2, 1, 4, 0, 4, 2, 4, 1, 2, 1, 1, 2, 1, 1, 1, 3, 2, 2, 1, 4, 4, 4, 3, 3, 0, 3, 0, 3, 1, 2, 1, 1, 1, 0, 4, 0, 0, 2, 3, 3, 2, 0, 4, 2, 4, 1, 4, 4, 1, 2, 2, 1, 0, 1, 3, 1, 4, 0, 3, 3, 4, 3, 2, 2, 4, 1, 4, 1, 1, 2, 3, 1, 2, 3, 1, 3, 4, 1, 4, 0, 4, 2, 4, 0, 3, 2, 1, 4, 3, 0, 2, 0, 1, 4, 3, 0, 1, 0, 4, 1, 3, 3, 4, 2, 3, 3, 2, 4, 2, 2, 0, 0, 2, 4, 3, 2, 4, 2, 0, 4, 1, 4, 2, 1, 4, 2, 3, 1, 3, 0, 0, 0, 3, 2, 1, 3, 0, 2, 1, 1, 2, 0, 2, 4, 4, 4, 0, 4, 4, 3, 3, 4, 0, 2, 4, 1, 1, 1, 1, 2, 4, 2, 0, 2, 2, 0, 4, 0, 3, 4, 3, 0, 4, 0, 2, 3, 0, 0, 2, 2, 1, 0, 2, 3, 2, 2, 1, 1, 0, 3, 0, 1, 1, 4, 2, 0, 4, 3, 1, 3, 2, 2, 4, 3, 0, 1, 0, 4, 4, 2, 4, 3, 3, 0, 3, 1, 0, 0, 1, 3, 1, 1, 1, 0, 2, 0, 1, 1, 1, 4, 2, 4, 1, 4, 4, 0, 3, 4, 1, 3, 4, 1, 2, 4, 1, 4, 3, 3, 4, 1, 3, 2, 1, 3, 4, 4, 4, 1, 3, 4, 3, 4, 2, 2, 2, 3, 0, 1, 1, 3, 4, 0, 2, 0, 4, 4, 2, 4, 2, 4, 3, 2, 1, 4, 2, 0, 1, 3, 1, 3, 4, 4, 4, 3, 3, 3, 2, 3, 3, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 1, 4, 2, 1, 3, 1, 4, 1, 2, 1, 0, 1, 0, 4, 3, 2, 2, 2]
pubkeycol927 = [2, 0, 2, 1, 0, 4, 4, 1, 3, 3, 0, 1, 4, 1, 2, 0, 0, 2, 1, 3, 0, 2, 3, 2, 1, 2, 0, 2, 3, 0, 3, 1, 0, 2, 0, 0, 3, 2, 0, 4, 1, 0, 3, 4, 0, 2, 0, 2, 4, 0, 1, 2, 4, 3, 0, 1, 2, 3, 1, 4, 1, 4, 2, 1, 0, 2, 2, 2, 3, 4, 2, 2, 3, 2, 4, 0, 1, 0, 3, 4, 4, 3, 0, 2, 4, 1, 1, 0, 4, 4, 0, 2, 2, 0, 0, 2, 4, 2, 2, 0, 3, 0, 0, 1, 2, 0, 0, 1, 4, 1, 2, 1, 2, 3, 4, 4, 2, 0, 1, 2, 2, 4, 1, 2, 1, 1, 3, 1, 2, 2, 0, 3, 1, 1, 1, 3, 1, 2, 2, 4, 2, 3, 1, 0, 2, 3, 2, 3, 0, 2, 4, 0, 3, 4, 2, 1, 3, 0, 0, 2, 4, 3, 3, 1, 2, 0, 0, 2, 0, 1, 3, 1, 2, 0, 3, 0, 2, 0, 4, 3, 0, 2, 2, 0, 0, 0, 3, 2, 2, 1, 4, 1, 3, 2, 2, 4, 1, 2, 4, 2, 0, 2, 3, 2, 0, 1, 0, 2, 3, 3, 2, 4, 0, 0, 4, 0, 1, 0, 0, 3, 0, 3, 2, 4, 3, 4, 3, 2, 1, 4, 1, 1, 0, 0, 1, 4, 1, 4, 4, 3, 1, 1, 2, 4, 3, 0, 3, 1, 0, 1, 4, 4, 2, 0, 3, 3, 1, 2, 0, 2, 0, 4, 2, 3, 0, 0, 3, 2, 0, 2, 3, 3, 2, 1, 3, 2, 1, 1, 3, 4, 2, 4, 2, 2, 2, 1, 1, 4, 3, 4, 0, 3, 3, 1, 4, 0, 1, 2, 4, 1, 0, 4, 2, 4, 4, 2, 4, 0, 0, 0, 2, 3, 2, 3, 1, 0, 3, 4, 0, 2, 3, 2, 0, 3, 4, 3, 1, 2, 2, 2, 4, 2, 4, 3, 2, 3, 2, 2, 4, 3, 4, 0, 3, 2, 4, 4, 4, 3, 3, 1, 2, 2, 4, 4, 3, 1, 0, 4, 0, 0, 2, 0, 4, 1, 4, 1, 2, 4, 0, 0, 1, 4, 1, 4, 4, 4, 4, 4, 4, 4, 1, 3, 2, 4, 3, 1, 3, 2, 4, 4, 1, 4, 4, 0, 4, 2, 1, 3, 3, 3, 2, 2, 4, 1, 4, 2, 2, 0, 0, 4, 2, 2, 0, 1, 4, 0, 2, 2, 1, 2, 1, 4, 3, 2, 2, 3, 1, 3, 4, 4, 1, 1, 0, 3, 4, 2, 1, 2, 4, 0, 2, 3, 3, 3, 0, 2, 1, 2, 1, 1, 3, 3, 1, 3, 4, 4, 1, 0, 0, 2, 4, 0, 0, 4, 1, 4, 0, 3, 3, 3, 2, 4, 2, 4, 3, 4, 0, 3, 3, 0, 0, 4, 1, 1, 3, 1, 1, 4, 3, 3, 0, 4, 2, 3, 4, 0, 2, 2, 0, 1, 1, 1, 2, 3, 0]
pubkeycol928 = [0, 4, 4, 4, 4, 4, 4, 3, 0, 1, 0, 3, 0, 3, 2, 4, 0, 0, 2, 1, 3, 0, 3, 0, 4, 3, 1, 4, 0, 1, 0, 3, 0, 0, 4, 1, 1, 1, 4, 4, 2, 3, 0, 3, 3, 0, 0, 1, 0, 0, 4, 1, 2, 0, 0, 4, 0, 1, 1, 2, 3, 3, 4, 0, 2, 4, 0, 0, 3, 4, 4, 2, 2, 0, 1, 3, 0, 1, 2, 4, 3, 2, 0, 2, 1, 2, 0, 2, 3, 0, 2, 1, 2, 1, 4, 3, 3, 3, 0, 0, 4, 3, 3, 2, 2, 1, 1, 1, 3, 1, 3, 3, 0, 0, 0, 1, 2, 1, 2, 3, 4, 1, 3, 0, 0, 1, 0, 0, 1, 0, 2, 1, 3, 4, 4, 2, 0, 0, 3, 2, 4, 3, 1, 3, 4, 3, 4, 1, 3, 4, 3, 3, 1, 0, 2, 0, 1, 3, 2, 0, 2, 4, 0, 3, 0, 0, 3, 3, 4, 3, 3, 0, 3, 1, 4, 4, 0, 0, 2, 2, 1, 1, 1, 1, 4, 3, 3, 0, 3, 2, 1, 2, 1, 0, 2, 3, 0, 2, 1, 3, 1, 4, 3, 3, 3, 0, 2, 3, 2, 0, 1, 3, 1, 2, 1, 2, 4, 2, 4, 3, 3, 0, 0, 3, 3, 4, 1, 1, 2, 0, 1, 0, 2, 4, 4, 1, 4, 0, 2, 3, 1, 3, 1, 2, 4, 0, 0, 2, 2, 4, 3, 1, 0, 2, 3, 4, 0, 4, 3, 2, 4, 0, 2, 4, 2, 0, 4, 2, 3, 1, 2, 4, 4, 4, 0, 4, 0, 2, 4, 1, 1, 1, 4, 4, 0, 2, 4, 4, 3, 1, 1, 4, 3, 2, 3, 0, 0, 3, 3, 0, 1, 4, 3, 1, 1, 0, 2, 4, 0, 1, 4, 3, 4, 2, 1, 3, 0, 1, 3, 1, 2, 2, 4, 4, 0, 1, 3, 1, 1, 4, 0, 1, 1, 3, 0, 0, 2, 0, 0, 4, 4, 1, 3, 3, 3, 2, 4, 1, 2, 1, 1, 0, 0, 3, 0, 0, 0, 0, 4, 3, 2, 1, 2, 1, 1, 0, 4, 2, 1, 0, 3, 2, 1, 2, 4, 3, 1, 3, 3, 4, 3, 2, 3, 1, 0, 0, 3, 2, 0, 2, 2, 3, 0, 4, 4, 3, 0, 2, 1, 4, 1, 4, 2, 1, 2, 3, 1, 1, 1, 3, 4, 2, 4, 0, 0, 2, 4, 3, 0, 0, 4, 3, 2, 2, 2, 4, 2, 0, 0, 2, 3, 1, 2, 0, 4, 3, 4, 1, 3, 3, 1, 0, 1, 3, 2, 3, 3, 2, 1, 3, 4, 2, 3, 1, 1, 3, 4, 4, 1, 2, 1, 3, 3, 3, 1, 3, 3, 3, 3, 2, 4, 2, 2, 2, 0, 3, 0, 4, 1, 4, 2, 3, 4, 1, 1, 1, 3, 2, 4, 0, 1, 0, 2, 2, 0, 2, 3, 2, 3, 2, 0, 3, 2, 1, 2]
pubkeycol929 = [4, 2, 4, 4, 0, 1, 3, 2, 0, 3, 0, 4, 2, 1, 3, 2, 0, 2, 4, 4, 1, 1, 1, 4, 1, 3, 2, 4, 3, 0, 0, 0, 1, 4, 4, 0, 1, 0, 0, 3, 3, 3, 2, 4, 1, 3, 3, 4, 3, 2, 1, 2, 0, 2, 1, 1, 4, 1, 3, 3, 2, 3, 0, 2, 2, 2, 2, 4, 4, 0, 3, 2, 1, 4, 1, 1, 0, 3, 1, 4, 2, 1, 3, 0, 0, 1, 1, 3, 4, 1, 3, 0, 0, 2, 2, 4, 0, 4, 1, 1, 2, 0, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 1, 4, 2, 0, 1, 0, 1, 4, 2, 1, 4, 0, 1, 1, 2, 3, 0, 2, 2, 1, 4, 3, 2, 3, 2, 0, 1, 3, 4, 0, 4, 0, 3, 4, 2, 3, 4, 1, 1, 3, 3, 1, 1, 4, 0, 1, 4, 4, 0, 2, 4, 0, 4, 4, 1, 3, 1, 0, 3, 1, 4, 3, 3, 4, 2, 3, 1, 4, 1, 2, 2, 4, 0, 4, 1, 4, 4, 0, 3, 4, 3, 3, 3, 4, 2, 0, 4, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 3, 2, 4, 3, 4, 3, 4, 0, 3, 4, 3, 1, 1, 0, 4, 2, 1, 3, 4, 4, 3, 2, 1, 3, 4, 3, 4, 2, 3, 0, 2, 2, 2, 2, 3, 2, 0, 3, 0, 2, 1, 2, 4, 3, 3, 0, 4, 1, 2, 4, 4, 1, 0, 1, 2, 2, 4, 1, 0, 4, 1, 3, 3, 3, 3, 3, 1, 3, 4, 1, 3, 0, 1, 4, 2, 3, 1, 0, 3, 3, 2, 0, 1, 4, 1, 1, 1, 4, 0, 3, 3, 0, 2, 2, 2, 3, 1, 0, 3, 0, 1, 1, 0, 2, 3, 0, 3, 0, 1, 4, 4, 1, 2, 4, 2, 4, 2, 0, 4, 0, 0, 2, 0, 2, 4, 3, 0, 2, 1, 3, 1, 0, 2, 2, 2, 0, 4, 1, 4, 3, 3, 0, 3, 0, 1, 0, 3, 2, 4, 4, 3, 3, 0, 4, 2, 0, 2, 4, 0, 1, 0, 3, 1, 0, 1, 3, 2, 2, 2, 2, 1, 4, 0, 2, 2, 4, 0, 3, 4, 3, 3, 4, 1, 2, 2, 1, 3, 1, 3, 4, 3, 2, 0, 3, 4, 0, 2, 2, 0, 3, 1, 4, 3, 4, 2, 1, 1, 3, 4, 0, 4, 3, 1, 2, 3, 1, 0, 1, 2, 0, 3, 2, 3, 3, 2, 1, 2, 3, 4, 1, 0, 3, 0, 1, 1, 3, 4, 1, 1, 1, 1, 3, 1, 1, 0, 2, 2, 0, 1, 1, 0, 3, 3, 0, 4, 0, 3, 0, 3, 3, 0, 4, 3, 3, 2, 0, 2, 0, 0, 1, 3, 2, 0, 0, 1, 3, 1, 3, 3, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 4, 0, 3]
pubkeycol930 = [1, 3, 1, 0, 3, 4, 0, 2, 4, 2, 1, 0, 1, 0, 0, 3, 2, 2, 3, 1, 2, 2, 0, 4, 0, 2, 1, 2, 4, 3, 2, 0, 0, 3, 4, 3, 1, 3, 2, 1, 2, 3, 0, 4, 4, 4, 0, 4, 2, 3, 3, 0, 2, 4, 0, 2, 2, 4, 3, 2, 1, 1, 2, 0, 2, 3, 3, 4, 0, 1, 2, 2, 4, 0, 4, 0, 1, 2, 3, 3, 1, 4, 0, 2, 3, 4, 0, 0, 4, 4, 1, 4, 2, 0, 2, 0, 2, 4, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 4, 4, 0, 0, 2, 3, 4, 1, 2, 1, 0, 1, 1, 3, 2, 3, 1, 3, 3, 1, 3, 0, 4, 3, 2, 0, 4, 2, 4, 0, 1, 2, 3, 1, 3, 2, 1, 2, 0, 4, 1, 3, 1, 2, 0, 4, 0, 0, 2, 2, 3, 3, 4, 3, 0, 2, 0, 4, 0, 1, 4, 0, 4, 3, 2, 3, 1, 0, 2, 0, 0, 4, 1, 4, 1, 0, 3, 1, 3, 2, 4, 4, 4, 1, 0, 2, 0, 2, 3, 1, 0, 0, 4, 0, 1, 0, 3, 3, 0, 3, 1, 1, 2, 3, 0, 3, 2, 1, 1, 4, 4, 4, 2, 1, 1, 1, 2, 4, 1, 0, 4, 4, 4, 3, 3, 1, 1, 2, 2, 3, 2, 1, 1, 1, 4, 0, 2, 4, 4, 0, 2, 0, 4, 0, 0, 0, 1, 3, 0, 1, 0, 1, 4, 1, 4, 4, 1, 3, 1, 2, 3, 2, 2, 1, 1, 4, 3, 2, 1, 1, 0, 3, 1, 1, 3, 2, 0, 3, 1, 0, 2, 2, 1, 0, 4, 0, 3, 0, 1, 2, 2, 4, 4, 2, 0, 4, 2, 1, 0, 1, 4, 2, 0, 4, 0, 4, 3, 0, 0, 0, 1, 0, 0, 3, 3, 2, 1, 0, 1, 2, 3, 1, 1, 1, 2, 4, 2, 1, 4, 1, 1, 2, 4, 2, 0, 1, 1, 1, 2, 2, 3, 3, 1, 0, 0, 2, 0, 0, 4, 1, 0, 3, 3, 4, 3, 0, 2, 3, 0, 0, 1, 2, 4, 0, 0, 2, 0, 1, 0, 3, 4, 1, 2, 3, 0, 3, 0, 2, 3, 2, 3, 1, 0, 3, 0, 4, 2, 3, 3, 3, 4, 2, 2, 1, 1, 3, 1, 2, 0, 4, 0, 3, 3, 2, 1, 3, 2, 2, 3, 4, 0, 0, 3, 4, 0, 1, 1, 3, 3, 4, 4, 2, 1, 4, 1, 4, 0, 2, 4, 2, 1, 4, 1, 2, 3, 3, 4, 0, 1, 1, 2, 0, 0, 1, 0, 2, 3, 3, 2, 1, 1, 2, 4, 4, 4, 2, 3, 3, 0, 0, 2, 3, 2, 3, 3, 1, 2, 4, 2, 2, 3, 0, 2, 1, 4, 1, 2, 0, 3, 1, 0, 2, 1, 3, 3, 4, 1, 0, 0, 3, 1, 4, 3, 1, 0, 1, 0]
pubkeycol931 = [1, 4, 4, 2, 4, 1, 3, 3, 2, 2, 2, 3, 4, 1, 0, 3, 0, 2, 3, 2, 4, 1, 3, 1, 0, 1, 0, 1, 3, 2, 1, 0, 1, 4, 0, 4, 3, 0, 2, 3, 4, 4, 2, 0, 2, 1, 0, 1, 4, 3, 1, 1, 1, 4, 4, 1, 1, 3, 2, 1, 3, 1, 2, 4, 2, 0, 3, 2, 4, 0, 4, 4, 1, 3, 0, 0, 4, 1, 0, 3, 0, 0, 1, 0, 3, 2, 0, 0, 0, 2, 3, 1, 1, 2, 2, 4, 1, 4, 0, 1, 3, 2, 1, 0, 4, 3, 1, 3, 0, 2, 0, 0, 4, 2, 2, 3, 1, 3, 1, 2, 2, 4, 1, 1, 3, 4, 1, 0, 1, 1, 0, 1, 4, 0, 3, 3, 0, 2, 3, 3, 3, 1, 4, 3, 1, 0, 3, 1, 3, 0, 0, 0, 3, 3, 0, 0, 0, 1, 4, 4, 3, 2, 3, 2, 0, 2, 0, 4, 1, 1, 0, 0, 3, 2, 3, 1, 0, 1, 4, 4, 2, 1, 3, 0, 0, 4, 0, 1, 4, 1, 3, 4, 3, 1, 0, 2, 2, 2, 4, 0, 3, 1, 4, 1, 4, 1, 1, 3, 3, 3, 1, 1, 2, 3, 1, 0, 2, 0, 1, 1, 4, 4, 3, 3, 4, 4, 3, 1, 3, 1, 3, 0, 2, 2, 1, 4, 4, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 4, 1, 4, 0, 0, 1, 2, 1, 0, 4, 3, 2, 0, 3, 2, 0, 1, 0, 2, 2, 3, 1, 3, 1, 0, 3, 1, 0, 3, 4, 4, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 3, 0, 1, 4, 2, 1, 3, 3, 0, 2, 2, 3, 4, 0, 3, 1, 3, 2, 0, 2, 1, 1, 0, 3, 0, 1, 1, 0, 1, 1, 4, 2, 4, 2, 4, 2, 3, 1, 2, 3, 0, 2, 4, 1, 2, 1, 2, 4, 4, 4, 0, 2, 2, 2, 0, 3, 2, 2, 1, 0, 2, 2, 2, 3, 0, 3, 2, 1, 3, 2, 4, 4, 0, 3, 4, 0, 2, 2, 1, 2, 1, 1, 0, 4, 2, 0, 2, 0, 3, 2, 2, 1, 1, 0, 3, 3, 4, 1, 1, 4, 1, 3, 2, 2, 2, 1, 1, 2, 0, 2, 2, 3, 1, 2, 1, 0, 0, 4, 2, 4, 2, 2, 0, 4, 4, 4, 3, 4, 3, 4, 1, 3, 2, 4, 0, 1, 0, 4, 4, 0, 4, 1, 1, 1, 4, 4, 3, 2, 1, 0, 4, 0, 1, 3, 3, 1, 4, 4, 4, 0, 3, 2, 2, 2, 0, 1, 0, 1, 0, 4, 1, 2, 0, 1, 1, 0, 3, 2, 4, 2, 3, 0, 3, 3, 3, 4, 0, 1, 2, 3, 1, 1, 2, 1, 4, 0, 4, 1, 1, 1, 1, 0, 0, 4, 1, 3, 0, 0, 2, 2, 1, 4, 0]
pubkeycol932 = [1, 0, 0, 1, 2, 4, 1, 4, 2, 1, 2, 2, 4, 4, 1, 2, 2, 3, 2, 0, 1, 0, 2, 1, 4, 4, 2, 4, 4, 1, 4, 2, 4, 0, 2, 4, 4, 1, 0, 2, 1, 0, 0, 3, 0, 1, 1, 0, 2, 2, 2, 2, 2, 3, 3, 4, 1, 3, 1, 0, 1, 2, 1, 1, 2, 2, 0, 4, 2, 2, 4, 4, 3, 4, 1, 4, 2, 2, 3, 1, 4, 3, 2, 3, 4, 4, 2, 2, 1, 4, 3, 0, 4, 0, 4, 0, 3, 2, 0, 2, 2, 2, 3, 0, 1, 0, 0, 1, 3, 4, 0, 0, 4, 3, 1, 3, 3, 4, 0, 3, 1, 3, 2, 4, 1, 4, 4, 2, 2, 3, 3, 1, 0, 1, 3, 0, 1, 0, 4, 3, 3, 1, 0, 1, 3, 1, 3, 3, 2, 4, 2, 0, 1, 4, 0, 1, 0, 1, 1, 3, 4, 4, 3, 0, 4, 4, 3, 4, 2, 2, 4, 4, 1, 0, 4, 0, 1, 1, 3, 4, 2, 4, 2, 3, 1, 1, 2, 3, 2, 2, 2, 3, 1, 4, 3, 3, 4, 4, 3, 4, 4, 2, 1, 3, 2, 0, 4, 1, 2, 0, 0, 2, 1, 2, 2, 0, 3, 3, 0, 2, 2, 2, 3, 3, 0, 0, 0, 0, 4, 1, 3, 0, 0, 3, 4, 3, 3, 3, 4, 3, 3, 0, 1, 4, 4, 0, 2, 2, 1, 4, 2, 2, 2, 0, 2, 4, 1, 0, 2, 1, 4, 1, 3, 4, 2, 3, 2, 2, 0, 3, 0, 4, 0, 2, 2, 3, 3, 3, 2, 2, 3, 0, 2, 2, 4, 2, 1, 2, 3, 2, 1, 2, 3, 1, 1, 2, 4, 3, 4, 2, 1, 0, 1, 3, 4, 0, 0, 1, 2, 4, 1, 2, 1, 1, 4, 4, 3, 4, 0, 1, 1, 3, 0, 4, 3, 4, 3, 1, 0, 4, 0, 1, 2, 2, 2, 0, 4, 1, 1, 1, 1, 3, 2, 1, 1, 2, 3, 4, 3, 1, 0, 2, 1, 3, 4, 0, 4, 2, 3, 4, 0, 3, 1, 4, 1, 1, 4, 2, 1, 1, 0, 1, 1, 0, 3, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 3, 4, 1, 0, 1, 0, 4, 4, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 4, 3, 2, 3, 1, 0, 0, 0, 3, 2, 1, 1, 0, 0, 4, 1, 3, 4, 3, 4, 2, 0, 0, 3, 4, 3, 0, 2, 0, 0, 1, 0, 1, 3, 3, 0, 1, 4, 1, 0, 2, 3, 2, 3, 1, 4, 0, 3, 2, 0, 0, 3, 1, 3, 0, 1, 0, 2, 2, 3, 4, 0, 0, 1, 1, 1, 2, 3, 2, 1, 3, 0, 1, 4, 4, 0, 2, 3, 4, 2, 4, 0, 1, 2, 3, 0, 4, 0, 0, 4, 0, 3, 2, 0, 4, 0, 3, 2, 2]
pubkeycol933 = [4, 3, 1, 0, 3, 2, 1, 1, 4, 4, 1, 2, 1, 1, 3, 1, 1, 4, 2, 2, 4, 1, 0, 1, 3, 2, 0, 0, 2, 2, 0, 0, 4, 0, 4, 0, 1, 2, 3, 0, 3, 3, 0, 0, 0, 4, 1, 2, 2, 3, 1, 1, 1, 1, 0, 3, 3, 1, 2, 4, 1, 2, 0, 2, 0, 4, 1, 0, 2, 3, 0, 3, 2, 0, 0, 3, 4, 4, 4, 2, 4, 2, 0, 3, 0, 1, 2, 3, 0, 0, 1, 0, 4, 4, 3, 4, 3, 3, 0, 0, 4, 0, 1, 1, 1, 3, 4, 0, 1, 1, 4, 3, 4, 3, 0, 3, 3, 3, 4, 1, 0, 3, 3, 4, 2, 2, 4, 3, 1, 4, 1, 1, 2, 2, 3, 1, 4, 0, 0, 2, 3, 1, 2, 3, 2, 1, 4, 4, 3, 2, 1, 2, 4, 2, 3, 1, 4, 0, 3, 0, 2, 4, 0, 3, 2, 2, 2, 2, 3, 2, 1, 4, 0, 3, 4, 2, 2, 3, 1, 4, 4, 0, 0, 0, 4, 1, 4, 1, 4, 3, 1, 1, 4, 1, 1, 0, 0, 0, 3, 2, 1, 1, 4, 1, 3, 0, 1, 0, 4, 2, 4, 1, 2, 0, 1, 2, 3, 3, 4, 3, 4, 3, 2, 3, 4, 2, 1, 4, 1, 2, 2, 2, 1, 2, 4, 4, 3, 2, 0, 4, 4, 2, 0, 0, 0, 1, 4, 3, 4, 1, 2, 1, 1, 3, 2, 3, 4, 0, 3, 4, 2, 4, 3, 1, 3, 3, 2, 2, 3, 3, 1, 2, 1, 4, 0, 0, 4, 0, 2, 3, 2, 4, 3, 2, 3, 1, 2, 3, 0, 3, 0, 2, 0, 4, 0, 0, 2, 2, 1, 4, 3, 4, 2, 4, 2, 0, 2, 3, 0, 0, 0, 0, 1, 0, 4, 3, 3, 2, 1, 0, 4, 2, 0, 2, 0, 1, 3, 1, 2, 1, 3, 0, 0, 3, 4, 4, 2, 4, 0, 1, 3, 3, 1, 3, 4, 0, 2, 1, 1, 0, 0, 4, 3, 1, 1, 2, 4, 0, 1, 3, 3, 2, 1, 4, 3, 4, 2, 4, 2, 4, 0, 3, 0, 3, 2, 4, 4, 3, 0, 4, 4, 3, 2, 0, 3, 2, 1, 4, 4, 2, 3, 2, 2, 2, 0, 3, 0, 3, 4, 4, 2, 3, 4, 3, 1, 3, 3, 4, 2, 2, 0, 3, 1, 4, 4, 1, 3, 1, 0, 1, 4, 0, 0, 0, 4, 2, 0, 4, 0, 0, 4, 2, 3, 2, 2, 1, 3, 2, 3, 2, 2, 2, 3, 3, 0, 3, 0, 2, 0, 2, 1, 3, 4, 4, 0, 4, 1, 1, 4, 3, 0, 4, 0, 3, 4, 0, 3, 3, 3, 1, 2, 0, 1, 2, 2, 0, 0, 3, 4, 3, 3, 2, 4, 1, 4, 3, 4, 4, 0, 1, 4, 0, 3, 2, 3, 0, 2, 2, 1, 2, 0, 1, 2, 1, 3]
pubkeycol934 = [4, 1, 3, 3, 4, 1, 1, 3, 2, 4, 1, 1, 3, 1, 3, 2, 0, 1, 4, 1, 1, 0, 0, 4, 1, 0, 1, 0, 1, 2, 0, 4, 3, 1, 1, 3, 1, 3, 1, 0, 2, 2, 0, 0, 3, 2, 0, 2, 3, 4, 0, 4, 4, 1, 4, 2, 3, 4, 0, 2, 1, 2, 3, 0, 2, 1, 1, 3, 0, 1, 4, 3, 3, 0, 3, 2, 4, 3, 3, 3, 0, 0, 2, 0, 2, 0, 4, 4, 1, 3, 1, 1, 1, 4, 1, 1, 2, 0, 4, 1, 1, 0, 1, 1, 3, 1, 1, 1, 2, 1, 2, 0, 3, 3, 1, 3, 3, 3, 4, 0, 2, 3, 1, 0, 2, 4, 4, 2, 2, 0, 2, 0, 1, 1, 3, 0, 1, 2, 3, 2, 0, 1, 2, 1, 4, 0, 3, 2, 2, 4, 4, 2, 1, 0, 0, 0, 2, 4, 2, 3, 0, 4, 3, 2, 1, 2, 1, 3, 3, 2, 1, 1, 2, 1, 1, 4, 0, 4, 3, 4, 3, 4, 4, 2, 1, 1, 1, 4, 4, 2, 3, 2, 2, 2, 0, 2, 2, 1, 0, 4, 1, 2, 0, 3, 2, 4, 4, 2, 4, 1, 3, 3, 2, 4, 4, 0, 2, 3, 4, 0, 3, 2, 2, 4, 0, 2, 1, 2, 1, 1, 2, 4, 0, 4, 4, 3, 2, 4, 4, 3, 1, 1, 4, 1, 0, 3, 1, 2, 3, 2, 0, 2, 3, 4, 4, 4, 0, 3, 2, 2, 0, 3, 2, 4, 2, 4, 1, 3, 0, 2, 4, 3, 1, 3, 3, 3, 0, 3, 0, 2, 3, 3, 1, 3, 3, 4, 4, 1, 3, 2, 0, 4, 4, 2, 2, 0, 4, 3, 2, 1, 3, 2, 0, 2, 2, 1, 0, 1, 4, 4, 4, 2, 3, 2, 3, 1, 3, 1, 0, 1, 2, 4, 2, 4, 0, 2, 2, 0, 0, 1, 2, 2, 4, 0, 4, 1, 4, 4, 1, 1, 2, 0, 0, 4, 0, 2, 2, 4, 0, 3, 3, 0, 3, 2, 3, 1, 4, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 3, 3, 4, 2, 2, 2, 1, 1, 4, 2, 1, 2, 4, 0, 4, 0, 4, 3, 4, 3, 2, 2, 0, 2, 0, 1, 1, 1, 2, 4, 3, 4, 2, 3, 3, 2, 1, 3, 2, 0, 2, 3, 0, 2, 0, 3, 3, 2, 3, 1, 4, 4, 4, 3, 2, 0, 2, 2, 1, 2, 2, 4, 1, 3, 1, 4, 3, 3, 2, 4, 4, 1, 3, 3, 3, 1, 0, 2, 0, 0, 2, 1, 3, 1, 3, 0, 4, 1, 0, 3, 4, 0, 1, 1, 4, 1, 3, 1, 4, 3, 2, 0, 3, 4, 2, 3, 0, 1, 2, 3, 0, 4, 4, 0, 0, 3, 3, 1, 3, 0, 4, 0, 4, 4, 2, 2, 2, 1, 4, 3, 0, 0, 3, 4, 3, 0, 4, 0]
pubkeycol935 = [4, 4, 1, 1, 0, 3, 3, 3, 1, 2, 2, 0, 3, 3, 1, 2, 3, 0, 4, 3, 1, 2, 2, 3, 4, 0, 2, 4, 2, 1, 3, 0, 4, 2, 0, 3, 3, 3, 3, 1, 4, 0, 0, 1, 1, 3, 1, 2, 0, 1, 3, 1, 0, 1, 4, 3, 3, 2, 4, 1, 1, 0, 0, 2, 3, 2, 0, 3, 4, 2, 2, 0, 0, 3, 3, 4, 2, 4, 0, 4, 0, 0, 3, 2, 2, 4, 3, 3, 3, 2, 4, 2, 4, 2, 2, 3, 0, 3, 2, 2, 3, 4, 3, 2, 2, 0, 2, 0, 2, 0, 4, 3, 1, 0, 0, 2, 4, 2, 4, 1, 2, 4, 2, 0, 3, 2, 1, 3, 0, 0, 2, 0, 1, 3, 4, 0, 3, 4, 2, 3, 3, 2, 0, 2, 2, 2, 1, 2, 0, 2, 4, 4, 4, 0, 4, 2, 2, 1, 2, 3, 1, 4, 3, 0, 2, 0, 2, 0, 2, 4, 4, 3, 2, 2, 3, 3, 2, 2, 0, 2, 4, 0, 4, 2, 0, 0, 3, 3, 3, 4, 2, 0, 4, 0, 4, 1, 3, 2, 2, 2, 4, 3, 0, 3, 4, 2, 0, 2, 2, 3, 4, 2, 2, 0, 4, 1, 1, 0, 2, 2, 1, 0, 0, 0, 4, 4, 3, 4, 2, 2, 3, 0, 1, 0, 4, 4, 3, 0, 4, 2, 0, 1, 4, 4, 3, 1, 2, 1, 2, 1, 1, 2, 4, 0, 0, 4, 2, 1, 0, 2, 1, 2, 4, 2, 1, 0, 1, 3, 1, 0, 3, 3, 3, 1, 4, 2, 0, 1, 3, 2, 2, 1, 4, 3, 2, 0, 1, 1, 4, 2, 3, 4, 4, 0, 2, 4, 1, 3, 2, 3, 1, 1, 0, 4, 2, 3, 0, 1, 0, 3, 3, 4, 2, 3, 4, 4, 2, 1, 4, 0, 3, 3, 1, 0, 2, 0, 4, 3, 2, 0, 4, 1, 3, 0, 1, 4, 4, 2, 4, 1, 4, 2, 1, 1, 4, 1, 1, 3, 1, 3, 2, 2, 1, 4, 2, 0, 0, 0, 1, 2, 4, 4, 1, 2, 1, 2, 0, 4, 2, 0, 1, 1, 2, 0, 4, 4, 2, 0, 1, 2, 1, 2, 2, 1, 3, 4, 0, 0, 2, 3, 1, 0, 3, 1, 2, 0, 0, 2, 2, 1, 1, 3, 1, 4, 2, 3, 3, 0, 2, 0, 1, 1, 2, 2, 3, 4, 3, 2, 0, 2, 4, 1, 3, 2, 1, 2, 1, 4, 1, 2, 1, 3, 0, 3, 3, 3, 0, 3, 0, 3, 4, 0, 0, 2, 1, 0, 4, 4, 1, 4, 2, 4, 1, 3, 1, 4, 2, 2, 0, 0, 2, 3, 0, 2, 0, 4, 1, 0, 2, 3, 0, 1, 4, 0, 4, 1, 0, 4, 1, 4, 4, 0, 2, 4, 1, 3, 3, 3, 1, 0, 3, 2, 2, 0, 4, 4, 1, 2, 0, 0, 4, 1, 4, 1, 3]
pubkeycol936 = [2, 1, 1, 2, 4, 3, 2, 2, 1, 3, 3, 3, 0, 1, 2, 1, 2, 4, 4, 3, 3, 2, 3, 0, 0, 3, 2, 2, 1, 4, 1, 1, 4, 2, 3, 2, 3, 4, 0, 1, 4, 2, 4, 3, 0, 1, 3, 0, 4, 1, 0, 3, 4, 1, 2, 4, 2, 2, 2, 2, 2, 2, 0, 4, 0, 1, 0, 1, 0, 3, 0, 3, 1, 3, 4, 4, 0, 3, 4, 2, 2, 3, 4, 2, 1, 1, 4, 0, 4, 0, 0, 0, 0, 0, 1, 0, 3, 2, 0, 2, 4, 4, 3, 4, 0, 0, 4, 2, 0, 4, 3, 4, 3, 0, 4, 2, 4, 3, 2, 1, 4, 1, 3, 4, 4, 0, 0, 4, 1, 1, 0, 1, 1, 4, 0, 2, 4, 4, 3, 1, 0, 3, 1, 3, 3, 4, 4, 0, 0, 1, 3, 3, 4, 4, 4, 0, 2, 2, 1, 2, 3, 2, 0, 1, 0, 3, 4, 4, 4, 3, 1, 4, 1, 2, 3, 4, 4, 1, 0, 4, 0, 4, 3, 2, 3, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 4, 2, 3, 0, 0, 3, 4, 1, 1, 1, 2, 3, 0, 0, 0, 2, 1, 1, 2, 2, 4, 3, 1, 2, 3, 2, 0, 2, 1, 2, 0, 4, 4, 2, 0, 2, 4, 2, 1, 3, 3, 0, 3, 4, 0, 2, 2, 4, 4, 1, 2, 1, 3, 1, 0, 2, 2, 2, 1, 2, 0, 3, 1, 4, 4, 2, 2, 1, 2, 1, 3, 4, 0, 3, 2, 1, 2, 2, 1, 0, 3, 2, 4, 3, 3, 2, 1, 1, 3, 4, 2, 1, 3, 2, 3, 2, 2, 3, 0, 1, 0, 4, 1, 0, 3, 3, 1, 4, 2, 0, 3, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 3, 3, 1, 3, 1, 1, 2, 4, 3, 0, 1, 2, 4, 1, 2, 1, 1, 2, 1, 1, 4, 4, 3, 2, 4, 1, 3, 0, 1, 1, 4, 2, 3, 1, 3, 3, 3, 3, 3, 3, 1, 4, 3, 2, 1, 0, 4, 2, 1, 0, 0, 4, 2, 1, 2, 0, 3, 2, 2, 4, 0, 4, 2, 4, 0, 4, 4, 3, 3, 0, 3, 4, 4, 4, 1, 3, 3, 0, 2, 0, 4, 3, 1, 4, 3, 3, 0, 1, 2, 0, 2, 1, 0, 2, 2, 3, 2, 1, 4, 4, 2, 0, 3, 1, 2, 1, 4, 3, 3, 1, 4, 1, 4, 0, 2, 2, 0, 0, 2, 3, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 3, 1, 4, 3, 3, 0, 2, 3, 4, 0, 0, 3, 2, 0, 3, 3, 0, 1, 1, 0, 2, 0, 0, 4, 0, 3, 3, 0, 2, 2, 1, 4, 4, 4, 0, 4, 3, 1, 0, 4, 0, 1, 3, 4, 1, 1, 0, 0, 4, 2, 2, 3, 3, 1, 0, 0]
pubkeycol937 = [0, 2, 0, 0, 3, 3, 3, 4, 0, 3, 1, 4, 0, 1, 1, 4, 2, 3, 3, 0, 1, 1, 3, 2, 2, 0, 1, 1, 4, 1, 2, 0, 1, 2, 0, 4, 0, 0, 0, 1, 1, 4, 0, 1, 3, 1, 2, 3, 1, 0, 1, 3, 0, 1, 2, 2, 2, 3, 4, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 4, 3, 4, 4, 2, 2, 1, 2, 2, 0, 3, 1, 1, 0, 0, 1, 4, 4, 1, 4, 0, 4, 2, 2, 0, 0, 4, 2, 1, 3, 4, 2, 2, 0, 1, 2, 2, 1, 4, 0, 4, 4, 1, 1, 4, 3, 0, 1, 4, 0, 4, 2, 0, 1, 4, 0, 0, 1, 4, 3, 3, 3, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 1, 4, 0, 1, 1, 0, 4, 3, 2, 0, 2, 1, 2, 4, 2, 0, 1, 2, 0, 1, 1, 2, 4, 2, 4, 0, 1, 0, 3, 0, 1, 0, 0, 1, 2, 1, 3, 4, 0, 3, 2, 0, 3, 2, 2, 0, 1, 4, 4, 0, 0, 1, 3, 2, 2, 3, 3, 1, 0, 4, 4, 0, 3, 4, 4, 0, 0, 0, 3, 3, 0, 0, 0, 3, 1, 3, 2, 3, 0, 3, 2, 3, 4, 4, 1, 1, 3, 1, 2, 3, 3, 2, 1, 4, 0, 4, 0, 0, 1, 1, 4, 4, 0, 2, 0, 2, 2, 0, 2, 4, 1, 4, 1, 4, 2, 1, 4, 2, 3, 2, 1, 0, 2, 2, 1, 1, 1, 3, 4, 4, 4, 3, 2, 2, 3, 2, 1, 0, 3, 1, 3, 4, 1, 1, 3, 1, 3, 3, 1, 1, 3, 1, 2, 3, 1, 4, 0, 1, 1, 4, 3, 2, 0, 3, 4, 1, 0, 0, 2, 1, 4, 3, 2, 4, 1, 1, 2, 4, 0, 3, 1, 1, 3, 1, 0, 4, 2, 4, 2, 1, 1, 1, 4, 1, 0, 3, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 4, 2, 1, 4, 4, 1, 0, 3, 4, 4, 0, 0, 0, 2, 1, 0, 3, 3, 3, 1, 2, 1, 1, 3, 2, 1, 2, 2, 2, 1, 3, 4, 1, 2, 1, 2, 2, 3, 1, 0, 0, 3, 0, 4, 2, 3, 3, 1, 0, 3, 0, 4, 4, 4, 1, 0, 3, 4, 4, 1, 1, 4, 3, 1, 1, 1, 3, 1, 1, 1, 3, 2, 4, 0, 1, 4, 2, 3, 1, 4, 1, 3, 2, 4, 2, 3, 1, 3, 0, 2, 0, 2, 2, 1, 0, 4, 0, 4, 1, 2, 1, 0, 2, 1, 0, 3, 2, 3, 4, 4, 3, 1, 1, 3, 3, 2, 0, 0, 4, 4, 3, 3, 1, 2, 4, 4, 0, 4, 4, 2, 2, 4, 3, 1, 3, 3, 1, 0, 4, 2, 3, 0, 1, 2, 4, 2, 0, 3, 2, 0, 1, 0, 1, 4, 0]
pubkeycol938 = [1, 1, 2, 1, 3, 1, 4, 3, 3, 3, 2, 1, 2, 4, 3, 4, 0, 1, 0, 1, 3, 3, 3, 1, 3, 1, 3, 1, 1, 3, 1, 4, 1, 1, 2, 0, 2, 1, 0, 3, 0, 4, 3, 1, 4, 4, 2, 3, 2, 0, 0, 3, 4, 2, 4, 3, 3, 1, 3, 2, 1, 3, 0, 4, 4, 1, 0, 0, 2, 3, 1, 2, 2, 3, 0, 0, 3, 3, 0, 0, 1, 1, 3, 2, 1, 0, 1, 4, 2, 2, 3, 0, 1, 2, 3, 3, 0, 4, 4, 4, 4, 4, 3, 0, 0, 2, 0, 1, 2, 2, 0, 3, 2, 0, 2, 2, 3, 1, 0, 3, 3, 2, 2, 4, 3, 3, 3, 1, 3, 3, 1, 2, 4, 2, 2, 1, 0, 0, 2, 1, 2, 3, 3, 4, 4, 3, 2, 3, 1, 2, 4, 3, 1, 1, 4, 3, 3, 2, 3, 4, 3, 1, 2, 1, 4, 2, 0, 2, 4, 4, 1, 0, 0, 3, 3, 2, 4, 2, 3, 0, 1, 4, 0, 1, 2, 3, 4, 0, 2, 1, 3, 1, 0, 2, 3, 1, 4, 1, 3, 1, 2, 4, 1, 0, 0, 3, 1, 0, 1, 4, 1, 3, 3, 3, 2, 3, 0, 2, 2, 3, 4, 1, 0, 3, 0, 4, 0, 3, 3, 4, 4, 2, 2, 2, 3, 4, 4, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 4, 3, 2, 3, 1, 3, 3, 3, 2, 2, 2, 4, 1, 4, 2, 0, 1, 3, 2, 1, 4, 2, 2, 2, 2, 4, 1, 0, 4, 1, 3, 2, 2, 3, 3, 2, 0, 1, 4, 4, 4, 1, 1, 0, 1, 0, 1, 4, 4, 4, 0, 1, 3, 2, 1, 2, 1, 3, 0, 4, 3, 0, 4, 1, 3, 4, 2, 0, 4, 2, 2, 2, 2, 2, 1, 4, 4, 0, 2, 4, 2, 2, 0, 0, 4, 3, 3, 1, 2, 1, 2, 3, 0, 1, 3, 3, 0, 2, 0, 1, 2, 2, 4, 3, 3, 1, 1, 0, 4, 2, 4, 0, 3, 2, 0, 3, 2, 0, 3, 0, 0, 1, 1, 2, 0, 1, 0, 2, 3, 4, 2, 1, 3, 1, 0, 4, 3, 2, 1, 3, 2, 3, 3, 4, 1, 4, 2, 4, 3, 4, 4, 4, 3, 2, 0, 4, 1, 0, 4, 4, 4, 0, 4, 2, 4, 0, 2, 2, 1, 3, 2, 0, 1, 2, 4, 4, 1, 4, 1, 1, 4, 3, 2, 4, 2, 2, 0, 2, 1, 4, 0, 4, 2, 0, 3, 3, 4, 2, 3, 1, 0, 0, 4, 4, 1, 4, 4, 4, 0, 2, 4, 1, 4, 3, 0, 0, 1, 1, 3, 4, 3, 0, 0, 0, 0, 3, 2, 1, 1, 1, 4, 2, 0, 2, 0, 0, 2, 2, 1, 2, 4, 0, 3, 3, 0, 0, 1, 4, 3, 0, 2, 2, 0, 3, 0, 4, 2]
pubkeycol939 = [2, 1, 0, 4, 4, 4, 1, 2, 3, 3, 0, 2, 1, 2, 0, 2, 4, 3, 3, 3, 0, 4, 2, 0, 3, 3, 1, 4, 2, 2, 2, 0, 1, 3, 3, 2, 1, 1, 0, 4, 0, 2, 3, 3, 4, 1, 4, 3, 2, 1, 4, 0, 0, 0, 2, 2, 2, 2, 3, 3, 0, 4, 0, 1, 2, 4, 1, 3, 4, 1, 1, 4, 1, 0, 4, 4, 4, 1, 0, 4, 3, 3, 4, 4, 1, 1, 4, 2, 1, 2, 4, 1, 4, 1, 1, 2, 2, 2, 4, 2, 0, 1, 4, 3, 3, 4, 2, 4, 1, 4, 0, 0, 3, 1, 4, 0, 2, 2, 1, 0, 0, 1, 4, 4, 0, 2, 2, 0, 0, 4, 1, 2, 4, 0, 3, 3, 1, 1, 2, 1, 0, 0, 1, 1, 4, 3, 1, 3, 2, 4, 2, 0, 0, 1, 1, 2, 0, 2, 0, 3, 1, 1, 3, 1, 1, 1, 2, 4, 4, 2, 2, 1, 3, 2, 4, 2, 4, 0, 3, 1, 0, 3, 4, 2, 3, 3, 1, 4, 1, 3, 2, 3, 1, 0, 3, 4, 2, 1, 2, 2, 1, 4, 2, 1, 3, 2, 0, 2, 0, 1, 1, 4, 1, 2, 4, 4, 3, 4, 3, 4, 4, 2, 3, 1, 0, 1, 1, 4, 1, 2, 2, 3, 1, 0, 3, 3, 0, 4, 0, 1, 4, 0, 0, 3, 4, 1, 0, 4, 2, 4, 2, 2, 1, 2, 4, 1, 2, 3, 0, 2, 1, 3, 3, 2, 4, 4, 3, 0, 3, 4, 0, 4, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 2, 1, 0, 1, 4, 1, 3, 2, 4, 3, 2, 3, 2, 1, 3, 1, 2, 0, 0, 0, 3, 3, 0, 3, 3, 4, 4, 4, 4, 4, 2, 0, 0, 1, 4, 2, 2, 2, 0, 1, 0, 0, 4, 2, 4, 4, 4, 3, 0, 0, 0, 2, 1, 1, 0, 2, 3, 2, 4, 1, 3, 1, 1, 4, 2, 2, 3, 4, 4, 3, 3, 2, 2, 2, 3, 2, 4, 0, 0, 4, 2, 1, 1, 0, 1, 4, 3, 0, 1, 2, 4, 1, 3, 3, 2, 2, 3, 2, 4, 4, 0, 2, 2, 0, 4, 3, 0, 0, 4, 3, 4, 2, 2, 3, 0, 3, 0, 4, 3, 4, 0, 3, 3, 2, 4, 2, 4, 2, 0, 0, 3, 0, 1, 2, 2, 0, 3, 3, 0, 2, 2, 1, 0, 4, 4, 2, 4, 2, 3, 3, 0, 2, 0, 0, 4, 3, 1, 2, 0, 3, 2, 2, 0, 4, 2, 3, 4, 3, 0, 3, 2, 0, 0, 3, 4, 4, 1, 2, 2, 4, 3, 3, 4, 1, 0, 2, 0, 3, 4, 3, 1, 1, 4, 2, 0, 4, 1, 1, 4, 3, 4, 0, 0, 1, 4, 1, 1, 2, 2, 2, 2, 1, 3, 1, 1, 2, 0, 2, 0, 0, 1, 3, 2]
pubkeycol940 = [3, 4, 0, 1, 0, 1, 1, 4, 1, 0, 4, 1, 2, 2, 1, 0, 1, 4, 4, 4, 1, 1, 0, 2, 4, 3, 4, 4, 1, 1, 1, 3, 0, 3, 0, 1, 4, 4, 0, 4, 1, 2, 4, 1, 2, 1, 0, 2, 4, 2, 4, 4, 1, 1, 0, 3, 2, 0, 1, 0, 0, 2, 3, 2, 1, 4, 4, 2, 4, 3, 3, 0, 4, 0, 2, 3, 0, 3, 4, 3, 3, 2, 3, 3, 3, 1, 2, 1, 4, 4, 4, 3, 3, 3, 1, 4, 2, 2, 1, 3, 0, 0, 2, 0, 2, 1, 0, 4, 2, 4, 3, 1, 0, 1, 3, 1, 3, 2, 0, 4, 1, 3, 3, 0, 0, 0, 1, 2, 2, 2, 3, 2, 1, 1, 2, 2, 3, 4, 1, 2, 4, 3, 2, 2, 4, 3, 3, 4, 4, 4, 2, 4, 4, 4, 0, 3, 0, 4, 3, 2, 1, 3, 4, 0, 0, 0, 4, 0, 1, 0, 2, 2, 0, 1, 2, 0, 3, 3, 0, 1, 1, 3, 3, 2, 0, 1, 1, 2, 2, 3, 3, 3, 0, 0, 4, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 4, 1, 4, 4, 1, 1, 2, 0, 4, 2, 3, 3, 0, 0, 2, 1, 3, 4, 4, 4, 2, 3, 2, 0, 0, 4, 1, 4, 0, 3, 3, 2, 0, 2, 0, 2, 0, 2, 2, 1, 3, 0, 4, 1, 4, 0, 1, 2, 2, 1, 1, 3, 2, 0, 4, 1, 1, 2, 0, 0, 0, 1, 0, 3, 2, 0, 4, 3, 1, 2, 3, 2, 0, 2, 3, 0, 0, 1, 1, 1, 1, 0, 0, 4, 3, 3, 2, 0, 4, 0, 2, 1, 1, 0, 3, 4, 3, 4, 3, 1, 1, 4, 0, 4, 0, 3, 1, 0, 2, 0, 0, 2, 2, 3, 1, 1, 2, 0, 1, 1, 2, 1, 4, 4, 3, 2, 0, 0, 0, 0, 1, 1, 4, 0, 3, 0, 3, 3, 2, 4, 3, 3, 1, 0, 0, 2, 3, 0, 1, 1, 2, 4, 1, 0, 0, 0, 0, 3, 3, 3, 0, 1, 4, 2, 4, 2, 3, 1, 4, 4, 3, 0, 3, 3, 2, 2, 2, 3, 0, 2, 1, 4, 3, 1, 4, 1, 2, 3, 4, 0, 1, 2, 1, 3, 1, 1, 0, 2, 3, 3, 3, 1, 3, 3, 1, 1, 2, 4, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 3, 1, 0, 1, 1, 4, 3, 1, 2, 1, 4, 2, 3, 2, 1, 0, 2, 2, 0, 3, 4, 2, 0, 3, 4, 2, 2, 2, 3, 1, 1, 3, 3, 4, 2, 4, 4, 4, 3, 0, 4, 3, 3, 3, 1, 0, 4, 0, 4, 2, 1, 4, 4, 0, 0, 1, 4, 2, 2, 0, 0, 1, 4, 1, 3, 1, 1, 0, 4, 3, 0, 4, 4, 1, 3, 0, 2]
pubkeycol941 = [1, 4, 4, 4, 1, 1, 0, 4, 3, 4, 0, 4, 4, 4, 0, 3, 4, 0, 1, 2, 2, 2, 2, 1, 2, 3, 3, 0, 2, 0, 4, 3, 0, 2, 0, 1, 4, 3, 2, 2, 0, 2, 2, 4, 0, 4, 2, 3, 4, 0, 0, 3, 0, 1, 2, 3, 2, 0, 2, 2, 2, 4, 3, 0, 1, 4, 0, 0, 1, 4, 3, 3, 2, 3, 0, 4, 4, 1, 3, 4, 3, 1, 0, 3, 0, 0, 4, 4, 0, 4, 4, 3, 2, 3, 2, 0, 3, 4, 4, 4, 3, 3, 4, 4, 4, 3, 0, 3, 4, 4, 1, 0, 0, 1, 2, 2, 2, 4, 0, 4, 2, 4, 2, 0, 4, 4, 0, 2, 4, 2, 0, 2, 0, 1, 4, 4, 1, 4, 2, 1, 2, 1, 3, 4, 4, 3, 4, 1, 3, 4, 4, 4, 4, 0, 3, 0, 3, 2, 2, 0, 0, 3, 0, 4, 2, 4, 0, 0, 4, 2, 1, 1, 4, 0, 0, 3, 4, 0, 2, 2, 2, 1, 1, 2, 3, 3, 0, 1, 1, 2, 0, 4, 4, 1, 2, 2, 4, 4, 4, 1, 0, 1, 1, 2, 3, 1, 1, 4, 2, 1, 1, 2, 2, 3, 2, 3, 0, 0, 3, 4, 4, 4, 0, 4, 1, 2, 4, 4, 3, 4, 0, 3, 4, 4, 0, 1, 4, 4, 1, 0, 3, 4, 2, 4, 2, 4, 0, 1, 0, 0, 0, 0, 4, 0, 2, 0, 1, 0, 4, 0, 2, 1, 0, 1, 4, 1, 1, 2, 1, 0, 2, 1, 4, 3, 3, 0, 0, 1, 1, 0, 3, 1, 2, 0, 1, 2, 1, 0, 1, 3, 1, 1, 3, 1, 0, 4, 1, 3, 1, 0, 0, 3, 3, 2, 1, 0, 4, 0, 0, 4, 4, 2, 4, 1, 3, 4, 2, 3, 3, 1, 3, 3, 4, 4, 2, 2, 0, 0, 1, 3, 2, 2, 3, 3, 4, 3, 4, 3, 1, 2, 0, 0, 3, 3, 0, 4, 3, 3, 3, 4, 4, 2, 3, 3, 4, 3, 1, 4, 4, 2, 2, 4, 0, 4, 2, 4, 3, 0, 1, 4, 0, 1, 4, 1, 4, 1, 3, 2, 1, 4, 2, 1, 3, 2, 3, 2, 4, 2, 4, 2, 4, 2, 0, 2, 0, 4, 0, 0, 4, 0, 2, 2, 0, 0, 4, 0, 0, 1, 4, 0, 4, 1, 1, 3, 0, 0, 2, 3, 0, 1, 2, 0, 3, 0, 3, 3, 3, 4, 3, 4, 4, 1, 2, 2, 0, 1, 3, 1, 4, 0, 0, 3, 4, 0, 3, 2, 0, 4, 4, 4, 3, 1, 2, 2, 1, 1, 2, 1, 4, 1, 3, 0, 4, 3, 2, 1, 1, 0, 1, 3, 0, 3, 1, 2, 3, 1, 2, 1, 4, 1, 1, 1, 4, 1, 1, 0, 4, 2, 0, 4, 4, 2, 1, 3, 2, 4, 3, 1, 1, 4, 1, 4, 4, 1, 4]
pubkeycol942 = [2, 3, 2, 1, 3, 0, 2, 3, 2, 0, 0, 2, 2, 3, 0, 3, 0, 1, 1, 3, 0, 1, 2, 2, 0, 3, 1, 1, 4, 3, 1, 3, 2, 3, 1, 2, 3, 0, 0, 2, 4, 4, 1, 4, 0, 1, 4, 3, 0, 4, 4, 2, 0, 0, 0, 4, 3, 2, 4, 3, 0, 4, 4, 1, 4, 2, 4, 2, 4, 1, 2, 3, 3, 2, 3, 4, 1, 4, 4, 1, 1, 4, 4, 0, 3, 1, 3, 0, 4, 1, 0, 2, 0, 2, 1, 4, 1, 0, 2, 4, 0, 1, 1, 0, 0, 0, 2, 2, 3, 1, 3, 4, 1, 1, 2, 4, 1, 1, 4, 4, 0, 1, 2, 0, 3, 3, 2, 4, 4, 2, 1, 2, 1, 1, 3, 1, 3, 1, 2, 1, 0, 2, 4, 3, 2, 1, 3, 1, 3, 3, 3, 0, 2, 2, 4, 4, 3, 2, 4, 2, 4, 0, 4, 4, 4, 4, 2, 4, 1, 3, 2, 1, 0, 2, 1, 3, 3, 2, 0, 4, 2, 3, 2, 3, 3, 2, 4, 0, 0, 4, 3, 2, 0, 2, 4, 2, 4, 3, 3, 4, 4, 3, 4, 3, 1, 0, 3, 0, 4, 0, 1, 0, 2, 0, 3, 1, 1, 3, 1, 4, 4, 4, 2, 4, 3, 3, 4, 3, 1, 1, 3, 1, 0, 2, 3, 4, 0, 4, 1, 3, 3, 4, 2, 1, 0, 4, 2, 1, 3, 0, 4, 1, 2, 1, 1, 0, 1, 1, 0, 1, 3, 0, 1, 1, 4, 2, 4, 3, 4, 2, 0, 0, 1, 2, 3, 3, 1, 4, 4, 2, 3, 3, 1, 2, 4, 3, 3, 3, 3, 0, 0, 1, 2, 1, 4, 3, 3, 0, 1, 0, 1, 0, 1, 0, 4, 1, 1, 0, 4, 1, 4, 2, 1, 0, 4, 0, 4, 0, 1, 3, 0, 3, 4, 3, 2, 1, 2, 0, 1, 3, 2, 3, 3, 0, 3, 4, 0, 3, 4, 3, 0, 1, 3, 2, 1, 0, 2, 2, 3, 4, 4, 1, 1, 3, 4, 4, 3, 0, 0, 3, 1, 0, 1, 4, 3, 4, 3, 1, 1, 2, 2, 3, 3, 4, 4, 2, 2, 3, 4, 3, 0, 4, 1, 3, 2, 4, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 3, 3, 2, 4, 2, 4, 0, 1, 0, 4, 1, 4, 0, 2, 1, 3, 0, 3, 1, 3, 2, 4, 0, 4, 4, 3, 4, 4, 4, 1, 4, 4, 2, 1, 1, 0, 2, 3, 1, 4, 2, 2, 2, 0, 2, 0, 4, 4, 3, 1, 4, 2, 2, 1, 1, 2, 3, 4, 2, 4, 2, 1, 2, 0, 4, 0, 1, 4, 2, 0, 2, 3, 0, 3, 4, 4, 3, 4, 2, 0, 2, 3, 0, 0, 3, 0, 0, 0, 2, 2, 1, 4, 3, 1, 0, 3, 0, 2, 0, 3, 0, 4, 0, 3, 1, 4]
pubkeycol943 = [0, 3, 1, 1, 3, 4, 2, 1, 4, 0, 2, 1, 3, 1, 1, 0, 1, 2, 3, 0, 3, 1, 0, 3, 4, 2, 2, 4, 1, 1, 4, 2, 0, 2, 0, 1, 0, 0, 4, 4, 4, 3, 0, 4, 4, 0, 1, 4, 0, 1, 1, 3, 0, 2, 3, 1, 3, 1, 3, 3, 0, 3, 3, 4, 2, 2, 3, 1, 4, 0, 0, 1, 0, 4, 2, 2, 3, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 3, 2, 3, 0, 3, 2, 0, 0, 3, 0, 1, 1, 4, 4, 0, 0, 2, 0, 3, 1, 4, 1, 0, 2, 2, 3, 2, 0, 3, 2, 1, 0, 2, 3, 3, 1, 2, 4, 3, 3, 0, 2, 3, 2, 2, 4, 4, 3, 1, 4, 4, 3, 3, 0, 4, 2, 2, 3, 1, 1, 1, 0, 2, 1, 1, 1, 4, 2, 1, 2, 2, 1, 4, 2, 0, 2, 3, 3, 4, 2, 1, 1, 4, 1, 2, 4, 2, 2, 2, 4, 3, 4, 1, 4, 2, 1, 1, 4, 1, 4, 2, 0, 2, 0, 1, 3, 3, 0, 2, 1, 2, 4, 4, 3, 0, 0, 1, 1, 3, 4, 1, 2, 2, 3, 0, 3, 1, 1, 0, 0, 2, 2, 2, 3, 0, 1, 4, 2, 3, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 3, 3, 0, 3, 1, 2, 1, 4, 3, 2, 1, 2, 1, 3, 0, 0, 3, 1, 1, 2, 4, 4, 2, 2, 0, 0, 3, 2, 3, 1, 1, 1, 2, 4, 4, 1, 2, 1, 2, 1, 0, 0, 4, 4, 4, 2, 4, 0, 1, 1, 0, 0, 0, 4, 2, 4, 2, 3, 0, 4, 4, 2, 0, 0, 0, 2, 1, 3, 4, 4, 0, 3, 4, 1, 4, 2, 3, 3, 2, 3, 2, 2, 2, 2, 3, 4, 1, 0, 1, 2, 0, 3, 0, 3, 3, 0, 2, 3, 4, 0, 0, 2, 2, 2, 3, 0, 2, 0, 4, 0, 2, 2, 3, 1, 3, 4, 4, 1, 0, 2, 1, 2, 0, 4, 4, 2, 4, 3, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 4, 2, 2, 1, 2, 0, 2, 1, 2, 1, 3, 2, 0, 3, 0, 1, 1, 2, 2, 4, 4, 1, 3, 1, 1, 4, 1, 4, 3, 1, 1, 4, 4, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 4, 3, 1, 3, 3, 0, 2, 0, 2, 2, 2, 0, 4, 1, 3, 1, 0, 4, 1, 4, 0, 0, 3, 3, 0, 0, 4, 2, 4, 0, 1, 3, 4, 0, 1, 0, 4, 1, 3, 0, 2, 1, 3, 2, 0, 3, 3, 4, 0, 3, 1, 0, 2, 3, 3, 4, 2, 0, 4, 1, 0, 0, 4, 0, 4, 0, 1, 2, 1, 1, 4, 4, 3, 0, 3, 3, 4, 2, 0, 0, 4, 0, 1, 3, 1, 4]
pubkeycol944 = [2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 3, 2, 1, 2, 4, 2, 2, 1, 4, 3, 3, 4, 4, 1, 4, 4, 1, 0, 2, 4, 4, 2, 3, 1, 1, 2, 4, 2, 2, 1, 0, 4, 4, 2, 1, 4, 3, 2, 2, 2, 2, 4, 1, 2, 4, 1, 3, 2, 2, 4, 3, 1, 0, 2, 1, 1, 4, 1, 3, 1, 0, 3, 4, 1, 4, 4, 4, 3, 3, 2, 2, 4, 2, 4, 0, 4, 2, 1, 1, 3, 4, 2, 3, 3, 0, 0, 4, 1, 1, 2, 0, 4, 0, 2, 2, 1, 4, 4, 4, 1, 4, 0, 0, 4, 4, 2, 3, 2, 4, 2, 2, 3, 0, 2, 2, 1, 3, 2, 4, 4, 1, 4, 3, 3, 0, 4, 0, 2, 1, 2, 4, 3, 1, 4, 1, 1, 4, 0, 3, 1, 0, 4, 0, 4, 0, 2, 4, 0, 3, 1, 4, 0, 0, 4, 0, 4, 1, 1, 3, 2, 2, 0, 0, 4, 1, 1, 3, 0, 4, 3, 3, 3, 3, 0, 3, 0, 3, 0, 1, 1, 4, 1, 1, 1, 0, 4, 2, 1, 3, 2, 4, 0, 0, 1, 1, 1, 3, 0, 1, 4, 4, 3, 2, 2, 1, 4, 4, 3, 3, 0, 0, 3, 3, 2, 1, 4, 3, 4, 0, 4, 1, 0, 2, 1, 2, 3, 2, 2, 3, 2, 0, 2, 1, 2, 4, 3, 0, 0, 2, 0, 0, 2, 3, 4, 2, 0, 1, 4, 3, 4, 4, 1, 1, 1, 4, 0, 1, 1, 1, 2, 0, 3, 2, 0, 0, 4, 4, 3, 4, 1, 0, 2, 0, 1, 2, 4, 3, 1, 4, 1, 1, 1, 1, 1, 1, 1, 0, 1, 4, 3, 2, 3, 3, 2, 2, 2, 2, 2, 0, 1, 3, 1, 2, 2, 1, 4, 1, 3, 4, 2, 0, 3, 4, 2, 3, 4, 3, 4, 0, 3, 3, 3, 3, 3, 2, 3, 2, 2, 0, 1, 4, 1, 3, 1, 0, 4, 2, 4, 2, 3, 1, 1, 4, 2, 2, 2, 0, 2, 0, 4, 3, 0, 1, 4, 0, 3, 0, 4, 3, 3, 0, 4, 0, 1, 1, 2, 0, 1, 3, 4, 4, 4, 3, 0, 0, 4, 0, 1, 0, 0, 4, 3, 1, 1, 3, 3, 4, 0, 4, 2, 4, 1, 4, 0, 3, 3, 3, 0, 2, 0, 0, 2, 1, 2, 2, 3, 1, 2, 3, 2, 2, 0, 3, 3, 0, 1, 0, 4, 2, 1, 2, 1, 2, 3, 2, 2, 0, 3, 2, 2, 1, 4, 1, 3, 2, 4, 0, 3, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 3, 4, 4, 2, 3, 0, 4, 2, 2, 1, 3, 3, 4, 0, 2, 3, 1, 1, 1, 3, 4, 1, 4, 1, 3, 3, 2, 1, 0, 4, 0, 2, 3, 1, 4, 2, 1, 4, 2, 3, 0]
pubkeycol945 = [0, 3, 0, 0, 1, 0, 0, 1, 2, 3, 4, 1, 0, 2, 2, 1, 1, 4, 2, 3, 0, 4, 3, 0, 2, 0, 0, 4, 1, 2, 0, 0, 1, 4, 3, 2, 2, 2, 1, 4, 1, 0, 4, 3, 3, 3, 1, 2, 2, 4, 0, 4, 3, 1, 4, 3, 1, 1, 3, 2, 3, 0, 3, 2, 3, 2, 4, 4, 3, 4, 4, 2, 3, 3, 4, 1, 3, 1, 2, 4, 4, 2, 4, 4, 3, 1, 3, 3, 2, 2, 2, 1, 1, 0, 2, 4, 4, 2, 1, 3, 2, 1, 1, 4, 2, 4, 2, 4, 4, 3, 2, 1, 0, 2, 0, 4, 3, 2, 3, 0, 2, 0, 4, 3, 1, 1, 2, 3, 0, 3, 2, 0, 1, 1, 4, 3, 1, 1, 4, 0, 1, 1, 2, 3, 3, 2, 4, 2, 3, 1, 0, 0, 1, 0, 1, 1, 3, 3, 0, 0, 4, 3, 0, 4, 4, 0, 1, 2, 1, 0, 2, 2, 4, 0, 0, 1, 2, 2, 4, 4, 1, 4, 0, 3, 1, 3, 4, 2, 4, 0, 1, 0, 2, 0, 3, 4, 1, 0, 0, 0, 1, 1, 1, 0, 4, 3, 1, 0, 1, 3, 2, 3, 4, 2, 2, 2, 0, 3, 1, 2, 0, 3, 3, 1, 4, 0, 4, 4, 4, 3, 0, 1, 0, 3, 4, 4, 0, 3, 1, 1, 3, 0, 3, 1, 1, 4, 2, 3, 0, 4, 0, 1, 1, 4, 3, 2, 3, 0, 1, 1, 1, 1, 4, 3, 4, 2, 3, 3, 2, 4, 0, 1, 2, 0, 4, 4, 2, 1, 3, 4, 0, 2, 1, 1, 4, 1, 1, 4, 4, 1, 3, 3, 4, 2, 4, 0, 4, 3, 0, 1, 3, 2, 4, 1, 4, 3, 3, 1, 2, 4, 3, 0, 3, 0, 0, 4, 0, 2, 2, 4, 3, 4, 0, 0, 0, 3, 3, 1, 2, 2, 2, 0, 1, 1, 2, 2, 3, 4, 0, 4, 0, 0, 0, 1, 1, 0, 1, 3, 2, 0, 3, 1, 3, 1, 3, 0, 2, 2, 3, 3, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 4, 0, 3, 3, 2, 1, 3, 4, 4, 0, 3, 3, 2, 2, 2, 2, 3, 0, 1, 3, 4, 3, 1, 2, 3, 1, 3, 3, 0, 1, 4, 2, 3, 0, 0, 4, 4, 0, 0, 0, 4, 1, 1, 4, 3, 3, 3, 1, 3, 4, 3, 1, 2, 4, 0, 2, 1, 4, 1, 4, 4, 3, 4, 4, 4, 2, 3, 1, 4, 4, 4, 1, 4, 1, 2, 2, 3, 1, 3, 2, 0, 1, 0, 0, 2, 0, 4, 1, 3, 3, 3, 0, 3, 4, 4, 2, 2, 1, 3, 0, 3, 3, 3, 4, 4, 3, 3, 3, 1, 1, 3, 4, 0, 4, 3, 0, 2, 3, 2, 2, 3, 3, 1, 0, 4, 4, 0, 1, 3, 4, 3, 3, 3, 2, 3]
pubkeycol946 = [1, 2, 4, 2, 0, 2, 0, 1, 1, 0, 3, 0, 0, 0, 3, 3, 3, 3, 1, 4, 2, 1, 3, 2, 0, 3, 1, 2, 1, 4, 2, 1, 4, 4, 0, 0, 3, 3, 3, 0, 4, 1, 4, 2, 1, 2, 0, 3, 3, 3, 1, 0, 2, 1, 0, 1, 3, 2, 2, 1, 2, 2, 0, 0, 1, 3, 4, 3, 3, 1, 3, 2, 2, 3, 3, 2, 4, 0, 3, 2, 1, 0, 3, 0, 0, 4, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 4, 2, 0, 3, 2, 2, 2, 4, 4, 3, 1, 3, 4, 0, 0, 0, 3, 4, 3, 1, 4, 0, 1, 1, 0, 3, 2, 0, 2, 4, 2, 0, 0, 2, 0, 4, 4, 0, 0, 4, 0, 3, 2, 3, 0, 0, 1, 0, 1, 1, 0, 0, 4, 4, 1, 3, 0, 4, 2, 0, 1, 2, 1, 3, 2, 4, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 4, 0, 2, 1, 3, 4, 0, 4, 3, 4, 4, 2, 4, 3, 3, 2, 4, 1, 3, 0, 2, 1, 2, 3, 4, 3, 3, 0, 1, 0, 4, 4, 2, 3, 0, 0, 0, 1, 2, 2, 0, 3, 3, 3, 2, 1, 4, 4, 0, 1, 0, 2, 0, 3, 2, 1, 0, 2, 1, 0, 4, 2, 4, 3, 1, 4, 3, 1, 4, 0, 0, 2, 4, 1, 3, 3, 0, 4, 3, 2, 3, 1, 4, 3, 3, 3, 4, 0, 2, 2, 4, 3, 3, 1, 3, 4, 0, 4, 4, 0, 4, 4, 2, 4, 1, 2, 0, 3, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 4, 0, 1, 0, 2, 3, 1, 1, 2, 0, 2, 2, 1, 4, 1, 4, 0, 2, 1, 4, 0, 2, 4, 4, 3, 0, 4, 4, 3, 2, 0, 1, 3, 3, 3, 3, 3, 0, 3, 1, 0, 0, 2, 0, 1, 3, 4, 3, 4, 1, 3, 2, 2, 3, 0, 3, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 3, 2, 2, 3, 2, 2, 3, 0, 2, 0, 1, 1, 3, 4, 3, 0, 1, 3, 1, 2, 2, 2, 2, 3, 4, 0, 0, 4, 2, 1, 2, 1, 0, 3, 0, 3, 2, 3, 0, 2, 4, 2, 1, 1, 4, 4, 4, 2, 3, 2, 1, 2, 2, 2, 4, 1, 4, 1, 0, 0, 2, 3, 2, 0, 1, 1, 0, 3, 1, 2, 3, 4, 1, 3, 3, 2, 2, 4, 3, 1, 4, 1, 3, 2, 1, 0, 0, 4, 4, 1, 4, 1, 3, 1, 0, 4, 2, 4, 1, 1, 2, 3, 0, 3, 3, 2, 2, 3, 1, 0, 1, 3, 0, 4, 3, 2, 4, 2, 1, 0, 1, 4, 0, 0, 1, 2, 0, 4, 2, 1, 4, 4, 0, 1, 2, 2, 0, 0, 0, 3, 3, 3, 4, 4, 4]
pubkeycol947 = [1, 4, 1, 1, 1, 1, 4, 4, 4, 3, 2, 1, 0, 3, 1, 2, 3, 1, 3, 4, 3, 3, 2, 0, 4, 4, 2, 2, 3, 4, 4, 1, 3, 3, 4, 0, 2, 3, 3, 0, 2, 3, 4, 3, 0, 4, 2, 0, 4, 3, 1, 1, 0, 3, 2, 3, 2, 1, 1, 3, 1, 4, 2, 0, 2, 2, 1, 2, 0, 0, 4, 3, 1, 1, 3, 3, 4, 2, 1, 4, 4, 1, 3, 4, 1, 3, 0, 1, 4, 3, 0, 0, 1, 2, 4, 2, 2, 4, 2, 2, 3, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 4, 2, 0, 2, 1, 3, 3, 3, 4, 3, 4, 3, 1, 2, 4, 0, 2, 3, 1, 3, 0, 4, 3, 2, 3, 3, 1, 0, 2, 2, 0, 2, 0, 3, 2, 2, 4, 1, 1, 4, 4, 4, 4, 4, 2, 3, 4, 0, 0, 2, 2, 3, 1, 2, 2, 3, 2, 1, 2, 1, 3, 0, 4, 3, 3, 2, 0, 4, 4, 0, 4, 3, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 3, 3, 0, 0, 4, 2, 0, 4, 4, 2, 4, 3, 0, 1, 2, 0, 4, 2, 1, 4, 3, 0, 3, 1, 1, 2, 2, 4, 3, 2, 1, 1, 0, 4, 4, 2, 1, 0, 4, 2, 2, 2, 1, 0, 2, 2, 2, 0, 3, 2, 2, 2, 0, 4, 1, 1, 0, 4, 0, 2, 4, 2, 4, 1, 1, 0, 4, 3, 0, 0, 2, 3, 3, 4, 4, 0, 2, 2, 0, 4, 1, 2, 4, 0, 4, 1, 2, 0, 1, 4, 3, 2, 2, 3, 2, 0, 2, 4, 1, 2, 2, 4, 1, 4, 0, 1, 2, 2, 2, 3, 4, 3, 4, 2, 4, 1, 3, 4, 2, 2, 0, 0, 3, 1, 1, 1, 4, 0, 1, 2, 0, 0, 2, 3, 3, 3, 1, 4, 0, 4, 0, 0, 1, 3, 2, 2, 0, 4, 0, 0, 2, 2, 0, 1, 4, 1, 0, 0, 3, 1, 1, 1, 1, 1, 2, 3, 0, 3, 1, 1, 0, 2, 1, 4, 0, 0, 2, 1, 1, 4, 3, 1, 2, 3, 3, 1, 4, 1, 4, 1, 3, 4, 3, 4, 0, 4, 1, 2, 1, 4, 2, 0, 1, 1, 3, 2, 0, 1, 3, 2, 1, 1, 1, 0, 0, 4, 1, 1, 3, 3, 1, 3, 4, 2, 3, 0, 0, 3, 0, 3, 4, 2, 3, 3, 4, 0, 3, 4, 0, 2, 1, 1, 4, 2, 3, 3, 2, 3, 4, 2, 4, 2, 2, 0, 4, 0, 3, 1, 3, 4, 0, 4, 0, 3, 2, 2, 1, 3, 2, 4, 0, 2, 2, 1, 4, 2, 2, 1, 3, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 1, 4, 4, 0, 2, 4, 0, 2, 0, 2, 2, 0, 4, 1, 2, 2]
pubkeycol948 = [4, 0, 3, 2, 1, 1, 2, 2, 4, 0, 4, 0, 1, 1, 0, 1, 0, 2, 4, 1, 0, 2, 2, 0, 1, 1, 2, 2, 3, 2, 2, 3, 0, 4, 0, 3, 3, 1, 3, 1, 4, 2, 3, 0, 0, 2, 0, 4, 2, 2, 3, 2, 2, 3, 4, 0, 2, 0, 4, 3, 0, 4, 0, 2, 3, 3, 1, 2, 4, 3, 4, 3, 3, 0, 2, 2, 2, 2, 0, 4, 2, 3, 3, 2, 3, 1, 0, 1, 0, 4, 1, 1, 1, 2, 0, 4, 1, 1, 1, 0, 4, 2, 0, 1, 1, 2, 3, 4, 2, 0, 3, 3, 0, 3, 2, 4, 0, 4, 0, 0, 0, 1, 2, 2, 1, 3, 1, 2, 3, 1, 2, 1, 2, 1, 1, 1, 2, 3, 0, 2, 4, 0, 0, 4, 1, 1, 2, 3, 3, 4, 0, 2, 1, 2, 4, 1, 1, 4, 3, 4, 4, 2, 2, 4, 0, 4, 3, 3, 2, 4, 2, 4, 0, 1, 4, 0, 3, 1, 1, 1, 0, 3, 3, 3, 2, 4, 4, 0, 4, 3, 2, 2, 4, 0, 0, 2, 2, 0, 4, 2, 2, 4, 1, 2, 4, 4, 1, 0, 1, 3, 2, 0, 1, 3, 2, 2, 0, 1, 4, 0, 0, 2, 0, 3, 0, 0, 4, 4, 3, 2, 1, 3, 1, 2, 0, 3, 4, 1, 2, 0, 0, 2, 0, 0, 4, 1, 4, 1, 1, 3, 0, 1, 3, 3, 1, 1, 2, 3, 1, 1, 3, 0, 4, 4, 3, 1, 3, 1, 1, 2, 0, 1, 2, 1, 2, 4, 3, 1, 3, 3, 1, 1, 2, 3, 2, 4, 0, 3, 3, 2, 3, 2, 0, 2, 1, 4, 0, 4, 4, 4, 0, 2, 0, 2, 0, 1, 4, 3, 2, 2, 3, 1, 0, 0, 0, 1, 1, 1, 3, 2, 2, 1, 3, 0, 4, 2, 3, 2, 0, 0, 4, 3, 3, 4, 2, 0, 1, 1, 3, 4, 0, 3, 4, 3, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 3, 1, 1, 4, 4, 2, 3, 3, 2, 1, 0, 1, 3, 4, 4, 4, 4, 4, 1, 1, 1, 0, 4, 2, 3, 2, 3, 0, 2, 0, 2, 2, 4, 0, 0, 4, 4, 2, 3, 4, 2, 0, 2, 1, 2, 4, 3, 4, 0, 1, 2, 3, 4, 0, 1, 1, 2, 0, 3, 1, 2, 0, 3, 0, 0, 4, 0, 1, 0, 4, 3, 2, 2, 0, 4, 0, 2, 4, 3, 2, 3, 0, 2, 1, 1, 1, 3, 3, 4, 0, 0, 2, 1, 4, 0, 0, 1, 1, 2, 1, 0, 1, 0, 4, 3, 4, 4, 1, 4, 1, 2, 4, 2, 2, 3, 4, 2, 4, 4, 1, 1, 1, 1, 3, 3, 4, 0, 1, 4, 2, 3, 3, 2, 0, 3, 4, 4, 2, 4, 1, 4, 3, 0, 4, 0, 4, 1, 0, 2, 4]
pubkeycol949 = [2, 3, 2, 3, 1, 4, 4, 3, 2, 1, 3, 3, 0, 0, 1, 0, 1, 3, 0, 2, 1, 0, 2, 4, 4, 3, 1, 4, 1, 3, 2, 0, 2, 3, 4, 0, 1, 3, 3, 2, 2, 0, 4, 0, 1, 1, 4, 0, 2, 3, 4, 1, 4, 1, 1, 2, 3, 0, 0, 4, 3, 4, 0, 1, 1, 2, 1, 4, 0, 3, 0, 3, 3, 1, 1, 0, 4, 3, 2, 3, 2, 4, 2, 0, 4, 3, 1, 0, 1, 4, 3, 3, 0, 3, 3, 4, 4, 3, 2, 1, 0, 2, 1, 3, 3, 1, 1, 3, 0, 2, 3, 3, 0, 4, 3, 0, 2, 4, 0, 1, 2, 3, 3, 2, 1, 4, 4, 2, 4, 4, 0, 1, 3, 0, 4, 0, 2, 0, 4, 4, 0, 1, 4, 4, 2, 4, 0, 1, 0, 3, 0, 4, 3, 1, 1, 3, 2, 3, 1, 1, 1, 0, 1, 4, 3, 3, 2, 0, 0, 1, 0, 3, 4, 1, 4, 0, 1, 1, 3, 4, 0, 1, 0, 1, 3, 0, 1, 2, 4, 4, 2, 0, 1, 2, 2, 3, 3, 1, 4, 2, 1, 1, 4, 1, 1, 3, 3, 3, 0, 2, 1, 0, 2, 4, 2, 3, 3, 0, 0, 0, 2, 1, 1, 3, 0, 4, 1, 2, 2, 2, 2, 4, 4, 3, 1, 3, 3, 1, 3, 3, 3, 3, 0, 4, 0, 3, 3, 2, 1, 2, 2, 1, 0, 0, 1, 2, 3, 0, 4, 3, 1, 0, 0, 1, 4, 0, 3, 2, 1, 0, 1, 3, 4, 3, 3, 4, 3, 3, 4, 1, 4, 0, 0, 0, 4, 3, 1, 0, 4, 4, 2, 3, 4, 2, 4, 4, 2, 0, 3, 4, 0, 4, 4, 4, 3, 2, 1, 2, 4, 0, 1, 1, 1, 0, 2, 0, 3, 3, 1, 4, 2, 0, 4, 0, 2, 4, 4, 4, 4, 4, 0, 4, 3, 3, 3, 0, 4, 0, 4, 0, 0, 3, 4, 3, 4, 3, 1, 0, 1, 2, 0, 2, 2, 1, 3, 4, 3, 4, 2, 1, 0, 3, 3, 1, 0, 3, 0, 2, 4, 4, 2, 3, 4, 0, 4, 2, 1, 4, 0, 3, 1, 4, 3, 2, 0, 0, 0, 0, 3, 1, 1, 2, 2, 2, 0, 1, 1, 3, 4, 0, 3, 0, 0, 3, 1, 4, 1, 1, 1, 2, 3, 0, 2, 0, 0, 1, 0, 0, 4, 1, 1, 1, 2, 2, 4, 4, 3, 2, 3, 4, 1, 1, 3, 1, 4, 0, 3, 2, 1, 0, 4, 4, 0, 4, 1, 4, 1, 1, 2, 0, 4, 4, 1, 3, 1, 4, 4, 1, 0, 4, 3, 0, 2, 4, 2, 3, 1, 1, 3, 0, 4, 2, 4, 0, 4, 2, 2, 3, 0, 1, 2, 4, 2, 1, 1, 4, 2, 1, 3, 2, 0, 4, 3, 4, 3, 1, 4, 0, 4, 2, 0, 2, 1, 4, 3]
pubkeycol950 = [0, 3, 4, 0, 0, 4, 4, 0, 0, 3, 2, 3, 1, 2, 0, 0, 3, 0, 0, 2, 3, 3, 3, 3, 2, 2, 0, 4, 0, 3, 2, 4, 0, 3, 4, 2, 4, 3, 1, 4, 2, 1, 2, 3, 3, 1, 2, 1, 3, 1, 1, 1, 3, 4, 1, 3, 2, 3, 2, 1, 0, 4, 2, 0, 4, 3, 4, 0, 1, 1, 2, 0, 0, 2, 2, 3, 3, 1, 2, 1, 0, 1, 1, 3, 3, 0, 3, 4, 3, 4, 2, 4, 0, 1, 2, 1, 0, 1, 1, 3, 0, 4, 2, 1, 4, 4, 1, 2, 4, 3, 4, 4, 4, 4, 3, 1, 4, 1, 3, 3, 0, 1, 4, 4, 0, 4, 4, 3, 1, 3, 3, 0, 2, 2, 2, 2, 0, 4, 3, 1, 2, 1, 2, 0, 4, 1, 3, 2, 2, 0, 1, 2, 0, 3, 0, 1, 1, 3, 2, 4, 4, 0, 3, 2, 1, 4, 1, 4, 2, 3, 1, 4, 4, 3, 3, 0, 4, 1, 1, 1, 3, 1, 1, 2, 0, 1, 0, 1, 4, 4, 4, 4, 0, 1, 3, 1, 1, 4, 0, 1, 1, 2, 2, 0, 2, 0, 2, 4, 0, 0, 3, 4, 4, 2, 1, 3, 1, 2, 3, 2, 2, 2, 3, 3, 0, 3, 0, 2, 1, 4, 3, 0, 0, 3, 0, 2, 0, 2, 1, 3, 2, 2, 1, 0, 3, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 3, 4, 2, 4, 4, 3, 3, 2, 3, 2, 0, 1, 1, 0, 4, 3, 1, 1, 4, 4, 1, 1, 1, 1, 4, 1, 2, 3, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 4, 2, 1, 1, 4, 2, 3, 2, 3, 1, 3, 1, 3, 4, 0, 4, 4, 2, 2, 4, 1, 0, 1, 0, 4, 3, 0, 4, 2, 1, 3, 3, 4, 0, 0, 2, 0, 4, 2, 1, 4, 3, 3, 1, 3, 1, 0, 0, 1, 4, 2, 3, 3, 0, 2, 1, 1, 2, 3, 0, 3, 0, 3, 2, 3, 0, 2, 0, 3, 3, 3, 2, 0, 3, 1, 2, 0, 1, 3, 4, 4, 2, 4, 1, 0, 2, 3, 3, 2, 0, 2, 4, 4, 0, 1, 1, 3, 0, 2, 1, 1, 3, 3, 3, 4, 1, 1, 3, 2, 2, 4, 2, 4, 2, 4, 1, 0, 2, 4, 4, 3, 4, 4, 2, 1, 2, 3, 4, 2, 4, 3, 3, 3, 0, 2, 2, 3, 0, 4, 1, 4, 1, 0, 4, 2, 2, 4, 1, 0, 0, 4, 2, 4, 4, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 4, 3, 1, 1, 0, 4, 1, 4, 2, 3, 4, 4, 2, 0, 4, 0, 1, 1, 1, 2, 0, 4, 4, 2, 1, 4, 2, 2, 2, 1, 3, 0, 2, 4, 4, 2, 3, 1, 2, 0, 4, 0, 2, 2]
pubkeycol951 = [4, 0, 4, 1, 0, 3, 0, 1, 1, 3, 0, 2, 2, 1, 0, 4, 3, 0, 4, 1, 2, 3, 3, 1, 1, 4, 3, 2, 0, 4, 2, 1, 0, 2, 3, 3, 1, 4, 0, 1, 2, 4, 0, 4, 1, 2, 4, 3, 2, 4, 3, 4, 3, 1, 1, 2, 2, 1, 0, 4, 0, 3, 4, 2, 1, 3, 0, 1, 1, 3, 2, 4, 3, 0, 0, 2, 1, 2, 0, 4, 0, 1, 2, 2, 3, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 3, 0, 2, 2, 4, 1, 3, 4, 4, 0, 0, 0, 2, 4, 3, 2, 4, 2, 1, 2, 3, 1, 1, 3, 2, 0, 3, 2, 1, 1, 3, 3, 2, 0, 1, 4, 0, 1, 1, 0, 0, 3, 1, 1, 2, 1, 4, 3, 3, 3, 2, 2, 3, 2, 4, 0, 4, 2, 4, 3, 0, 2, 0, 0, 2, 0, 0, 2, 3, 1, 1, 1, 3, 2, 4, 4, 1, 3, 0, 4, 1, 2, 0, 1, 2, 2, 4, 0, 3, 1, 0, 4, 4, 4, 0, 0, 3, 4, 2, 4, 0, 4, 2, 0, 4, 1, 3, 3, 1, 0, 0, 2, 1, 2, 4, 3, 1, 4, 4, 1, 3, 3, 1, 4, 0, 1, 4, 2, 0, 3, 4, 4, 0, 0, 0, 0, 0, 3, 3, 3, 3, 2, 0, 1, 0, 2, 4, 1, 4, 4, 1, 4, 4, 0, 1, 0, 0, 2, 0, 4, 2, 1, 3, 1, 2, 2, 3, 0, 1, 2, 0, 0, 1, 4, 3, 1, 4, 2, 4, 4, 0, 0, 3, 1, 3, 1, 1, 3, 0, 0, 0, 2, 0, 1, 2, 0, 0, 3, 0, 0, 3, 4, 4, 1, 2, 0, 3, 4, 2, 1, 0, 0, 0, 2, 2, 1, 4, 1, 4, 3, 4, 4, 1, 3, 2, 1, 1, 2, 3, 3, 4, 1, 1, 4, 3, 2, 2, 4, 1, 0, 2, 2, 0, 0, 1, 2, 2, 4, 4, 1, 3, 3, 2, 0, 0, 3, 2, 0, 0, 3, 1, 0, 4, 2, 3, 4, 0, 0, 2, 4, 2, 3, 0, 0, 1, 3, 3, 1, 2, 4, 4, 3, 4, 1, 3, 4, 0, 4, 4, 4, 4, 1, 3, 0, 1, 0, 3, 4, 2, 1, 0, 1, 0, 1, 4, 1, 1, 1, 1, 2, 1, 4, 4, 0, 2, 3, 2, 4, 0, 0, 3, 1, 3, 4, 1, 0, 0, 0, 1, 4, 2, 4, 2, 3, 0, 1, 3, 1, 4, 1, 0, 4, 1, 2, 2, 4, 1, 4, 3, 1, 4, 2, 3, 2, 3, 3, 4, 2, 2, 2, 3, 3, 1, 0, 4, 0, 3, 0, 3, 3, 4, 2, 2, 2, 2, 0, 4, 4, 2, 0, 0, 1, 0, 1, 3, 3, 1, 2, 2, 2, 1, 4, 3, 0, 2, 0, 4, 0, 4, 1, 3, 0, 4, 0, 0, 1, 2, 3, 3, 1]
pubkeycol952 = [3, 1, 2, 1, 2, 1, 2, 1, 1, 0, 3, 2, 0, 4, 3, 1, 0, 0, 2, 3, 3, 4, 2, 1, 4, 4, 0, 0, 0, 4, 3, 0, 0, 4, 3, 4, 1, 4, 1, 4, 0, 3, 0, 3, 2, 1, 3, 4, 0, 4, 3, 3, 0, 4, 4, 0, 4, 0, 1, 1, 2, 0, 1, 4, 3, 1, 4, 3, 0, 1, 3, 1, 1, 3, 2, 3, 2, 4, 1, 3, 4, 0, 1, 1, 3, 1, 1, 0, 0, 2, 0, 2, 0, 4, 1, 0, 3, 4, 2, 0, 4, 0, 2, 0, 2, 1, 3, 1, 4, 4, 1, 2, 2, 3, 0, 2, 4, 3, 3, 4, 1, 3, 3, 1, 2, 2, 4, 0, 1, 3, 4, 3, 0, 4, 1, 1, 3, 3, 2, 4, 4, 2, 2, 4, 0, 3, 0, 1, 0, 4, 1, 4, 4, 1, 0, 1, 0, 0, 0, 1, 1, 3, 1, 4, 2, 1, 3, 0, 0, 2, 4, 0, 1, 0, 3, 4, 4, 4, 1, 4, 4, 1, 2, 4, 4, 3, 1, 2, 0, 1, 3, 1, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 3, 1, 4, 1, 0, 3, 3, 4, 4, 1, 2, 3, 2, 0, 4, 3, 3, 3, 2, 3, 1, 0, 3, 1, 0, 4, 4, 1, 0, 2, 3, 2, 4, 2, 3, 2, 3, 3, 2, 3, 0, 4, 1, 0, 2, 4, 2, 1, 3, 3, 1, 2, 1, 0, 4, 1, 4, 2, 1, 3, 2, 3, 1, 4, 1, 3, 4, 0, 4, 1, 1, 1, 2, 1, 3, 3, 0, 2, 4, 4, 1, 0, 1, 3, 1, 3, 2, 2, 4, 2, 1, 0, 3, 4, 0, 4, 4, 0, 3, 2, 0, 4, 4, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 3, 3, 0, 3, 1, 1, 4, 1, 3, 3, 3, 0, 2, 0, 3, 4, 1, 4, 0, 1, 0, 1, 2, 0, 0, 1, 3, 0, 4, 0, 3, 4, 4, 2, 1, 4, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 4, 3, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 3, 4, 3, 3, 2, 0, 0, 2, 1, 4, 0, 1, 3, 0, 0, 3, 2, 4, 4, 2, 2, 1, 0, 3, 2, 1, 2, 1, 2, 0, 0, 2, 4, 2, 3, 4, 4, 0, 2, 3, 1, 3, 4, 3, 1, 1, 3, 4, 3, 0, 2, 0, 3, 2, 3, 4, 4, 4, 2, 0, 0, 0, 2, 3, 2, 2, 0, 0, 0, 1, 4, 0, 3, 4, 1, 4, 2, 2, 3, 0, 3, 3, 1, 0, 1, 2, 4, 0, 2, 1, 4, 4, 0, 1, 3, 4, 0, 2, 3, 0, 1, 1, 0, 1, 4, 4, 2, 3, 4, 2, 3, 4, 3, 0, 1, 3, 3, 1, 2, 1, 4, 4, 2, 0, 4, 2, 0, 4, 1, 1]
pubkeycol953 = [4, 2, 2, 3, 3, 2, 0, 2, 4, 1, 0, 0, 3, 3, 2, 4, 1, 3, 2, 2, 4, 1, 1, 0, 3, 0, 3, 3, 2, 4, 3, 2, 2, 4, 4, 3, 3, 3, 4, 4, 4, 3, 4, 3, 4, 3, 1, 3, 1, 2, 1, 0, 1, 2, 1, 3, 4, 1, 4, 3, 4, 3, 3, 0, 1, 1, 0, 2, 4, 2, 4, 3, 2, 1, 3, 2, 4, 4, 1, 0, 3, 0, 0, 2, 4, 0, 3, 0, 3, 0, 3, 0, 4, 4, 4, 4, 0, 2, 3, 1, 2, 4, 3, 3, 3, 1, 0, 3, 3, 0, 3, 2, 0, 1, 3, 1, 1, 4, 1, 1, 4, 1, 1, 1, 2, 3, 3, 1, 3, 3, 4, 2, 2, 4, 0, 4, 2, 4, 0, 4, 4, 2, 2, 4, 0, 2, 1, 0, 2, 2, 2, 3, 1, 0, 0, 2, 2, 0, 3, 2, 0, 0, 3, 4, 1, 0, 0, 4, 1, 4, 0, 2, 4, 3, 1, 2, 0, 0, 4, 4, 3, 1, 4, 2, 1, 2, 1, 0, 4, 4, 4, 3, 1, 0, 2, 3, 3, 1, 2, 3, 4, 2, 3, 2, 2, 1, 4, 2, 3, 4, 3, 4, 1, 3, 4, 2, 3, 4, 1, 4, 0, 1, 2, 4, 1, 4, 1, 2, 3, 2, 3, 1, 1, 1, 2, 3, 4, 2, 0, 3, 3, 4, 0, 2, 1, 4, 0, 3, 1, 3, 2, 0, 2, 3, 4, 3, 3, 3, 4, 4, 2, 1, 1, 4, 2, 1, 2, 2, 0, 4, 4, 2, 0, 2, 0, 0, 3, 4, 3, 3, 2, 0, 4, 1, 4, 2, 4, 0, 4, 4, 2, 2, 2, 1, 0, 4, 2, 3, 3, 1, 2, 3, 1, 2, 1, 3, 0, 2, 4, 1, 3, 2, 0, 3, 2, 0, 2, 2, 2, 0, 0, 1, 3, 3, 3, 2, 2, 1, 2, 0, 4, 2, 3, 0, 1, 0, 4, 3, 1, 1, 4, 2, 1, 0, 1, 2, 3, 3, 3, 3, 2, 1, 4, 4, 4, 0, 0, 2, 0, 1, 3, 3, 4, 4, 3, 1, 3, 1, 0, 4, 4, 4, 4, 1, 2, 0, 1, 2, 2, 0, 1, 3, 0, 0, 3, 3, 3, 4, 1, 0, 0, 4, 1, 1, 0, 1, 3, 0, 3, 2, 1, 0, 1, 1, 0, 1, 1, 4, 4, 3, 1, 2, 3, 4, 4, 4, 4, 3, 2, 4, 3, 1, 3, 3, 4, 2, 3, 2, 1, 0, 1, 2, 2, 1, 4, 0, 4, 3, 2, 4, 4, 4, 1, 2, 0, 3, 0, 2, 1, 1, 2, 3, 4, 1, 3, 0, 0, 1, 2, 1, 4, 2, 4, 4, 4, 2, 2, 4, 1, 1, 3, 1, 3, 4, 0, 0, 4, 2, 4, 4, 0, 0, 3, 0, 2, 1, 0, 4, 0, 1, 0, 4, 3, 4, 3, 4, 1, 2, 1, 2, 0, 3, 0, 4, 1]
pubkeycol954 = [0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 4, 1, 2, 0, 3, 3, 0, 3, 0, 1, 0, 1, 3, 1, 3, 1, 3, 1, 3, 4, 2, 3, 3, 4, 3, 4, 4, 3, 0, 4, 3, 1, 1, 1, 3, 3, 0, 4, 0, 0, 1, 2, 1, 2, 2, 4, 3, 1, 4, 3, 3, 0, 3, 1, 3, 3, 1, 3, 4, 0, 3, 4, 4, 0, 2, 4, 4, 3, 4, 0, 3, 4, 3, 2, 2, 4, 0, 1, 1, 1, 4, 4, 4, 2, 1, 3, 4, 4, 0, 1, 0, 3, 2, 0, 4, 0, 0, 0, 2, 0, 4, 2, 0, 1, 2, 3, 1, 1, 0, 0, 0, 3, 2, 4, 4, 3, 2, 1, 2, 1, 2, 2, 3, 3, 3, 3, 0, 1, 4, 0, 3, 2, 4, 0, 0, 3, 4, 4, 3, 0, 2, 2, 3, 2, 1, 2, 4, 2, 4, 1, 1, 3, 1, 1, 4, 2, 2, 1, 3, 3, 1, 2, 2, 4, 1, 0, 3, 1, 0, 1, 0, 1, 1, 4, 2, 1, 4, 4, 1, 4, 1, 1, 0, 2, 4, 3, 0, 0, 0, 3, 3, 2, 3, 2, 1, 0, 3, 2, 3, 3, 1, 0, 0, 2, 3, 3, 3, 2, 1, 4, 0, 0, 1, 2, 0, 2, 3, 2, 2, 1, 3, 2, 0, 4, 1, 4, 1, 4, 0, 2, 3, 0, 0, 0, 2, 4, 2, 2, 2, 1, 3, 3, 1, 1, 4, 1, 3, 0, 2, 4, 1, 1, 2, 1, 0, 0, 2, 0, 2, 3, 0, 0, 1, 0, 4, 3, 0, 3, 4, 1, 2, 4, 3, 1, 1, 1, 4, 0, 3, 3, 3, 2, 2, 2, 2, 1, 1, 4, 3, 4, 2, 3, 2, 3, 4, 3, 3, 3, 4, 4, 2, 1, 2, 4, 2, 1, 4, 0, 1, 0, 0, 1, 4, 1, 4, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 4, 1, 1, 1, 1, 3, 2, 1, 2, 4, 4, 0, 0, 4, 2, 1, 3, 4, 3, 1, 0, 4, 3, 4, 2, 0, 4, 3, 4, 1, 2, 3, 3, 1, 0, 2, 2, 2, 1, 3, 1, 3, 2, 1, 0, 1, 1, 2, 1, 1, 3, 1, 4, 3, 3, 2, 4, 3, 2, 2, 4, 0, 2, 3, 4, 3, 2, 2, 4, 4, 2, 1, 3, 4, 3, 1, 0, 3, 3, 3, 1, 1, 3, 3, 2, 3, 0, 0, 2, 2, 2, 3, 2, 4, 2, 2, 4, 2, 3, 0, 4, 2, 1, 1, 1, 3, 3, 0, 1, 3, 4, 1, 4, 3, 3, 0, 0, 4, 0, 3, 3, 4, 1, 4, 4, 1, 2, 2, 4, 3, 3, 4, 4, 4, 2, 1, 0, 4, 2, 3, 2, 1, 1, 2, 3, 3, 3, 3, 2, 1, 0, 0, 2, 1, 2, 2, 2, 3, 2, 1, 2, 4, 0, 4, 0, 0]
pubkeycol955 = [0, 3, 0, 3, 4, 2, 4, 4, 0, 2, 3, 0, 4, 3, 2, 0, 3, 0, 1, 0, 0, 3, 0, 0, 2, 0, 2, 2, 2, 2, 2, 3, 3, 2, 1, 0, 1, 0, 0, 2, 4, 3, 3, 0, 2, 2, 4, 3, 3, 2, 0, 2, 3, 3, 3, 0, 2, 0, 2, 2, 0, 3, 3, 4, 1, 3, 0, 3, 3, 1, 1, 1, 4, 1, 2, 0, 1, 1, 2, 3, 0, 2, 2, 2, 0, 0, 0, 3, 1, 1, 3, 4, 4, 2, 0, 1, 0, 3, 1, 1, 4, 0, 4, 0, 0, 2, 3, 2, 2, 2, 0, 4, 0, 1, 3, 3, 2, 4, 3, 2, 2, 0, 2, 3, 4, 4, 0, 1, 3, 4, 1, 1, 2, 3, 0, 2, 2, 3, 4, 3, 4, 2, 3, 1, 1, 4, 0, 1, 3, 3, 3, 3, 0, 3, 4, 2, 1, 3, 0, 1, 1, 3, 3, 1, 2, 3, 4, 1, 0, 4, 4, 4, 1, 1, 0, 2, 3, 2, 0, 0, 4, 3, 0, 3, 4, 3, 4, 0, 0, 3, 3, 0, 2, 2, 1, 4, 1, 0, 0, 0, 1, 2, 3, 3, 4, 1, 3, 2, 1, 2, 1, 0, 0, 1, 4, 3, 4, 0, 3, 2, 1, 4, 0, 3, 2, 0, 2, 2, 4, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 4, 4, 3, 3, 3, 4, 0, 1, 2, 1, 1, 0, 0, 3, 3, 1, 4, 4, 0, 0, 0, 0, 3, 2, 2, 2, 3, 3, 2, 1, 1, 1, 0, 1, 3, 1, 4, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 3, 1, 2, 2, 3, 1, 0, 3, 0, 2, 1, 0, 4, 2, 4, 0, 2, 1, 1, 3, 1, 1, 0, 3, 0, 1, 4, 1, 4, 0, 0, 2, 4, 2, 3, 3, 0, 2, 2, 0, 4, 4, 3, 0, 1, 1, 4, 3, 4, 2, 2, 4, 2, 1, 4, 4, 3, 3, 1, 3, 1, 0, 4, 1, 0, 2, 0, 0, 4, 3, 2, 3, 0, 4, 2, 2, 3, 0, 2, 4, 0, 0, 3, 4, 2, 1, 2, 2, 4, 3, 1, 4, 1, 1, 2, 2, 3, 3, 2, 2, 3, 1, 2, 3, 3, 0, 2, 2, 0, 4, 4, 4, 4, 4, 0, 4, 1, 0, 4, 2, 3, 3, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 4, 3, 2, 3, 0, 0, 3, 0, 4, 3, 3, 4, 3, 2, 4, 3, 4, 0, 4, 1, 1, 2, 4, 4, 1, 0, 2, 2, 1, 4, 2, 1, 4, 1, 1, 1, 3, 2, 4, 4, 1, 1, 4, 1, 0, 0, 4, 0, 2, 1, 4, 3, 0, 1, 4, 2, 0, 0, 1, 3, 2, 4, 1, 2, 1, 2, 0, 3, 2, 0, 2, 0, 3, 3, 3, 4, 4, 0, 4, 1, 3, 3, 3, 1, 0, 3]
pubkeycol956 = [4, 2, 1, 0, 2, 0, 4, 3, 4, 3, 1, 3, 0, 4, 3, 1, 4, 4, 0, 2, 3, 3, 0, 3, 2, 0, 1, 3, 2, 0, 2, 2, 3, 4, 4, 4, 3, 4, 2, 1, 3, 0, 1, 0, 2, 1, 1, 4, 4, 3, 1, 1, 2, 3, 3, 2, 0, 0, 1, 0, 2, 3, 1, 2, 1, 3, 2, 4, 2, 1, 4, 3, 1, 2, 2, 3, 2, 4, 0, 2, 3, 4, 4, 2, 0, 3, 4, 4, 2, 2, 3, 3, 3, 2, 0, 2, 4, 4, 3, 0, 1, 4, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 4, 2, 3, 3, 3, 3, 3, 1, 3, 3, 4, 1, 1, 0, 4, 0, 1, 4, 4, 1, 2, 1, 2, 1, 3, 4, 0, 0, 0, 2, 0, 0, 1, 3, 4, 0, 0, 0, 0, 3, 1, 0, 1, 1, 2, 0, 2, 1, 4, 4, 0, 3, 2, 2, 2, 3, 3, 0, 2, 4, 1, 1, 0, 4, 3, 4, 1, 3, 2, 2, 4, 3, 3, 0, 3, 1, 1, 2, 3, 0, 0, 4, 0, 1, 4, 4, 2, 2, 3, 0, 2, 0, 2, 3, 4, 1, 1, 3, 1, 0, 4, 4, 2, 1, 0, 0, 1, 3, 1, 2, 1, 1, 4, 0, 3, 3, 1, 2, 0, 3, 2, 3, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 4, 4, 1, 2, 3, 4, 0, 1, 1, 4, 3, 4, 3, 2, 3, 4, 2, 2, 2, 1, 2, 0, 0, 0, 4, 0, 3, 4, 1, 2, 0, 1, 3, 4, 2, 1, 2, 4, 1, 0, 1, 4, 1, 2, 2, 3, 0, 2, 3, 3, 2, 2, 2, 2, 0, 2, 4, 4, 4, 4, 1, 0, 1, 2, 4, 2, 3, 4, 1, 0, 4, 3, 1, 4, 4, 2, 3, 0, 4, 3, 1, 0, 0, 2, 1, 4, 3, 0, 2, 0, 0, 3, 0, 1, 4, 2, 4, 3, 3, 0, 2, 0, 1, 1, 3, 2, 0, 1, 4, 1, 0, 2, 0, 1, 3, 4, 2, 0, 4, 0, 4, 2, 3, 4, 1, 4, 3, 1, 2, 1, 0, 2, 4, 4, 2, 1, 2, 2, 0, 3, 4, 1, 4, 1, 2, 1, 3, 2, 2, 3, 4, 2, 4, 1, 0, 2, 3, 4, 0, 3, 3, 1, 3, 2, 4, 1, 1, 3, 2, 3, 0, 2, 2, 2, 1, 4, 3, 2, 1, 2, 4, 1, 4, 3, 4, 3, 3, 2, 4, 1, 3, 0, 2, 2, 2, 2, 1, 1, 3, 4, 0, 2, 3, 1, 4, 1, 1, 0, 3, 3, 0, 4, 0, 1, 4, 0, 4, 0, 0, 3, 4, 3, 3, 0, 2, 1, 3, 1, 3, 4, 3, 3, 0, 2, 0, 0, 2, 0, 1, 3, 3, 2, 2, 4, 0, 2, 1, 3, 3, 4, 0, 3, 1, 4, 3, 3]
pubkeycol957 = [3, 1, 0, 3, 2, 3, 3, 1, 1, 1, 0, 0, 4, 4, 3, 1, 1, 1, 3, 1, 4, 4, 0, 3, 4, 1, 2, 3, 2, 4, 4, 0, 4, 0, 2, 1, 4, 0, 4, 3, 2, 4, 4, 3, 2, 4, 3, 2, 4, 3, 3, 1, 4, 0, 4, 1, 3, 0, 4, 4, 4, 1, 0, 4, 4, 3, 1, 1, 1, 0, 2, 3, 4, 3, 2, 4, 3, 1, 4, 1, 2, 0, 4, 0, 3, 2, 1, 4, 0, 4, 1, 4, 3, 4, 4, 4, 0, 2, 4, 2, 1, 2, 2, 3, 0, 1, 4, 3, 1, 1, 1, 4, 0, 4, 1, 0, 2, 3, 1, 1, 4, 1, 4, 4, 2, 3, 1, 3, 1, 3, 3, 3, 2, 1, 0, 2, 2, 4, 0, 1, 1, 2, 3, 2, 2, 0, 3, 1, 3, 0, 0, 0, 4, 1, 1, 3, 4, 3, 1, 4, 0, 2, 1, 3, 0, 1, 4, 3, 1, 3, 3, 0, 4, 4, 2, 2, 3, 1, 4, 3, 2, 4, 0, 4, 0, 3, 0, 0, 4, 2, 3, 4, 2, 3, 0, 4, 1, 0, 3, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 3, 1, 2, 3, 1, 0, 3, 4, 2, 2, 1, 0, 0, 0, 3, 4, 2, 0, 2, 4, 4, 1, 0, 1, 1, 4, 2, 4, 1, 3, 2, 2, 4, 4, 2, 4, 1, 3, 1, 2, 1, 4, 2, 4, 1, 2, 0, 3, 4, 0, 1, 1, 0, 4, 3, 4, 3, 2, 0, 0, 2, 0, 1, 3, 4, 4, 4, 0, 0, 1, 1, 4, 2, 3, 0, 1, 0, 1, 1, 3, 4, 4, 2, 3, 1, 4, 1, 1, 3, 1, 2, 0, 0, 0, 2, 2, 4, 3, 2, 4, 3, 1, 1, 3, 0, 1, 0, 3, 3, 3, 2, 2, 4, 2, 3, 4, 3, 4, 3, 0, 3, 3, 3, 4, 4, 2, 1, 1, 3, 0, 2, 1, 0, 4, 2, 1, 2, 1, 3, 3, 2, 3, 0, 2, 4, 2, 2, 0, 1, 2, 3, 4, 4, 1, 3, 0, 1, 0, 3, 2, 0, 3, 0, 0, 1, 1, 3, 0, 4, 0, 1, 0, 3, 3, 3, 0, 1, 4, 2, 1, 1, 1, 2, 0, 1, 1, 2, 3, 0, 2, 3, 1, 2, 0, 0, 4, 3, 4, 0, 1, 0, 4, 1, 0, 2, 1, 1, 1, 2, 4, 2, 4, 3, 0, 2, 1, 4, 2, 3, 3, 4, 3, 2, 1, 1, 4, 0, 4, 0, 0, 3, 0, 2, 0, 2, 4, 1, 2, 4, 4, 4, 4, 3, 4, 1, 4, 3, 2, 0, 2, 3, 3, 3, 0, 1, 3, 0, 3, 2, 3, 0, 1, 2, 3, 3, 3, 0, 2, 4, 1, 4, 4, 2, 0, 0, 0, 0, 3, 0, 4, 1, 0, 1, 0, 0, 1, 3]
pubkeycol958 = [4, 4, 3, 0, 4, 0, 2, 1, 1, 1, 3, 2, 0, 0, 3, 2, 1, 3, 2, 1, 0, 4, 2, 2, 4, 1, 1, 0, 4, 3, 3, 3, 4, 0, 2, 3, 2, 1, 2, 0, 4, 0, 2, 0, 1, 2, 4, 2, 3, 0, 3, 4, 4, 2, 4, 3, 1, 1, 1, 0, 0, 2, 3, 3, 4, 2, 4, 0, 1, 1, 3, 2, 1, 2, 2, 0, 3, 4, 3, 1, 2, 4, 4, 4, 4, 0, 4, 4, 0, 4, 2, 2, 4, 2, 4, 3, 1, 2, 2, 3, 0, 3, 3, 1, 2, 2, 1, 1, 4, 4, 2, 4, 2, 4, 2, 1, 3, 1, 3, 0, 2, 1, 1, 3, 3, 2, 1, 4, 1, 3, 4, 4, 3, 1, 0, 4, 2, 0, 4, 0, 3, 2, 3, 3, 1, 0, 3, 0, 4, 1, 0, 3, 3, 3, 2, 0, 2, 2, 1, 1, 4, 3, 1, 1, 0, 3, 1, 0, 0, 2, 4, 4, 2, 3, 0, 1, 2, 2, 2, 1, 1, 2, 4, 1, 3, 3, 3, 3, 3, 0, 4, 0, 3, 4, 1, 3, 0, 3, 0, 1, 0, 2, 2, 2, 3, 0, 4, 1, 4, 4, 0, 3, 0, 1, 1, 2, 1, 3, 1, 0, 0, 1, 4, 3, 2, 0, 1, 0, 4, 3, 2, 2, 3, 3, 2, 4, 4, 4, 2, 3, 2, 2, 0, 0, 2, 2, 0, 4, 3, 3, 3, 4, 4, 4, 4, 1, 4, 3, 3, 1, 3, 4, 4, 3, 1, 1, 2, 2, 2, 4, 4, 0, 4, 4, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0, 2, 2, 4, 2, 3, 2, 3, 1, 4, 1, 2, 0, 2, 3, 3, 4, 0, 4, 2, 4, 1, 0, 1, 2, 2, 4, 2, 1, 2, 3, 0, 2, 3, 0, 3, 0, 1, 4, 2, 4, 4, 1, 3, 0, 2, 4, 2, 3, 3, 3, 2, 4, 2, 4, 1, 3, 3, 2, 3, 4, 1, 0, 3, 3, 3, 3, 2, 0, 0, 4, 4, 3, 0, 2, 4, 2, 3, 0, 1, 3, 2, 1, 1, 3, 2, 4, 2, 3, 4, 2, 0, 4, 3, 1, 4, 4, 0, 3, 0, 3, 1, 4, 2, 0, 1, 4, 1, 1, 4, 0, 0, 0, 0, 2, 4, 3, 4, 3, 1, 1, 0, 0, 1, 4, 1, 2, 4, 0, 1, 3, 2, 0, 3, 4, 3, 2, 1, 4, 2, 2, 0, 3, 4, 1, 4, 4, 2, 1, 1, 0, 0, 1, 0, 0, 3, 2, 3, 3, 3, 4, 0, 4, 1, 1, 0, 0, 4, 3, 2, 3, 0, 2, 4, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 3, 4, 4, 2, 4, 0, 1, 3, 3, 3, 0, 2, 1, 2, 0, 3, 0, 2, 3, 4, 3, 4, 3, 4, 3, 2, 1, 4, 3, 2, 1, 0, 1, 2, 2, 3, 4, 1]
pubkeycol959 = [0, 2, 0, 2, 1, 1, 4, 1, 4, 0, 2, 4, 3, 4, 2, 0, 4, 1, 2, 3, 2, 4, 2, 3, 2, 2, 4, 2, 3, 0, 1, 0, 2, 2, 0, 3, 0, 0, 0, 1, 4, 0, 4, 1, 4, 1, 3, 0, 0, 2, 4, 2, 1, 4, 1, 0, 1, 0, 1, 2, 2, 2, 2, 3, 2, 1, 3, 1, 3, 0, 0, 1, 4, 0, 3, 2, 4, 3, 0, 4, 0, 4, 0, 0, 0, 4, 4, 1, 1, 4, 4, 0, 2, 0, 0, 0, 3, 1, 4, 4, 4, 0, 1, 1, 3, 0, 3, 2, 2, 4, 0, 3, 4, 1, 3, 3, 4, 4, 0, 3, 4, 1, 3, 0, 0, 1, 4, 3, 1, 1, 1, 4, 2, 3, 2, 2, 2, 1, 2, 3, 1, 0, 3, 1, 3, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 3, 1, 1, 4, 4, 0, 2, 2, 0, 1, 1, 2, 4, 2, 3, 2, 3, 2, 2, 1, 2, 0, 2, 3, 1, 4, 0, 2, 4, 3, 3, 1, 4, 4, 0, 1, 3, 3, 1, 0, 4, 2, 2, 1, 2, 0, 0, 0, 4, 4, 2, 0, 3, 2, 4, 3, 3, 3, 3, 0, 1, 4, 4, 2, 2, 1, 4, 0, 3, 0, 0, 1, 2, 2, 4, 2, 4, 4, 4, 1, 0, 0, 2, 4, 3, 3, 4, 2, 3, 0, 1, 4, 0, 3, 1, 0, 0, 3, 3, 1, 4, 4, 2, 1, 0, 1, 2, 0, 4, 3, 3, 3, 2, 3, 4, 3, 0, 2, 1, 0, 2, 4, 4, 1, 3, 2, 3, 2, 2, 1, 3, 2, 0, 2, 1, 0, 4, 0, 0, 4, 0, 0, 0, 2, 3, 1, 2, 3, 2, 3, 1, 0, 4, 1, 2, 2, 2, 0, 3, 1, 4, 0, 4, 0, 1, 0, 1, 2, 0, 3, 0, 2, 1, 1, 2, 3, 4, 4, 0, 4, 2, 2, 3, 0, 2, 0, 1, 4, 3, 3, 1, 3, 2, 2, 0, 2, 1, 2, 0, 4, 0, 2, 2, 3, 1, 0, 3, 2, 4, 2, 3, 1, 4, 2, 2, 2, 2, 0, 4, 3, 4, 3, 3, 2, 0, 4, 0, 0, 1, 4, 3, 3, 1, 1, 3, 0, 0, 0, 2, 0, 2, 2, 0, 3, 0, 0, 1, 0, 2, 1, 4, 2, 4, 0, 4, 2, 2, 3, 3, 2, 4, 2, 3, 4, 4, 3, 3, 0, 1, 2, 0, 3, 1, 1, 3, 2, 3, 0, 0, 0, 0, 2, 4, 1, 2, 0, 4, 0, 2, 0, 0, 4, 0, 4, 3, 3, 0, 3, 4, 4, 3, 3, 3, 4, 0, 3, 3, 3, 1, 1, 1, 3, 3, 0, 0, 3, 0, 4, 2, 1, 4, 4, 0, 1, 1, 1, 3, 3, 3, 4, 2, 4, 1, 3, 1, 0, 3, 4, 3, 1, 3, 0, 0]
pubkeycol960 = [1, 4, 3, 4, 4, 1, 4, 0, 1, 4, 3, 4, 0, 3, 1, 4, 4, 0, 2, 1, 2, 2, 3, 1, 0, 1, 2, 3, 3, 4, 0, 0, 3, 0, 2, 2, 2, 4, 3, 2, 3, 0, 4, 0, 1, 0, 2, 4, 4, 4, 4, 4, 3, 2, 4, 4, 3, 4, 1, 2, 2, 2, 2, 2, 0, 3, 4, 1, 4, 1, 1, 4, 1, 4, 0, 2, 3, 4, 3, 4, 0, 4, 4, 0, 1, 0, 1, 4, 4, 4, 1, 0, 1, 0, 4, 4, 1, 1, 4, 4, 4, 4, 0, 0, 4, 1, 3, 0, 2, 3, 1, 4, 4, 1, 3, 4, 2, 1, 4, 1, 0, 2, 4, 1, 3, 3, 3, 0, 2, 4, 2, 0, 3, 2, 2, 4, 3, 4, 1, 0, 0, 0, 3, 4, 0, 0, 3, 2, 1, 4, 2, 3, 0, 1, 0, 3, 4, 3, 4, 1, 4, 2, 1, 2, 1, 3, 1, 4, 0, 0, 1, 1, 1, 3, 3, 4, 3, 2, 3, 0, 3, 2, 2, 3, 2, 3, 1, 0, 1, 1, 1, 1, 4, 0, 1, 0, 2, 4, 3, 1, 4, 1, 4, 0, 0, 2, 1, 1, 4, 4, 1, 0, 2, 3, 1, 1, 4, 2, 4, 1, 1, 3, 3, 1, 3, 1, 3, 2, 1, 1, 1, 2, 3, 4, 4, 0, 3, 4, 0, 1, 3, 2, 0, 3, 1, 3, 2, 1, 4, 0, 4, 4, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 4, 4, 2, 4, 3, 2, 3, 1, 3, 1, 0, 1, 4, 4, 2, 2, 2, 3, 1, 0, 2, 2, 3, 0, 1, 1, 1, 3, 3, 3, 4, 4, 4, 3, 3, 4, 3, 3, 2, 3, 3, 0, 1, 3, 4, 0, 3, 2, 4, 1, 0, 1, 1, 0, 1, 4, 4, 1, 2, 0, 3, 3, 0, 1, 3, 0, 3, 3, 0, 3, 4, 0, 3, 2, 1, 4, 1, 3, 4, 4, 2, 4, 3, 1, 4, 2, 3, 0, 2, 0, 3, 2, 2, 1, 4, 4, 0, 3, 4, 2, 4, 0, 0, 0, 2, 2, 2, 0, 2, 0, 3, 2, 4, 3, 1, 1, 4, 3, 4, 2, 2, 0, 4, 0, 1, 1, 3, 1, 2, 2, 4, 0, 1, 2, 4, 4, 1, 1, 4, 1, 0, 0, 1, 0, 0, 4, 0, 4, 1, 0, 0, 0, 3, 4, 2, 3, 1, 2, 3, 1, 3, 3, 4, 4, 2, 3, 1, 0, 2, 4, 4, 4, 0, 0, 2, 2, 2, 0, 3, 3, 1, 0, 1, 3, 4, 0, 1, 1, 4, 4, 2, 1, 0, 3, 2, 2, 1, 3, 2, 2, 4, 4, 3, 2, 1, 1, 1, 2, 3, 1, 2, 3, 1, 1, 1, 0, 1, 4, 3, 1, 0, 1, 3, 3, 0, 2, 1, 3, 1, 0, 1, 0, 1, 3, 0, 0, 2, 0, 3, 1, 4, 3, 4]
pubkeycol961 = [0, 3, 0, 1, 0, 3, 3, 3, 3, 4, 2, 1, 0, 2, 0, 0, 2, 2, 3, 2, 0, 1, 3, 0, 1, 0, 4, 4, 2, 0, 2, 1, 0, 0, 1, 2, 4, 4, 2, 3, 0, 0, 3, 0, 3, 0, 1, 3, 0, 3, 0, 0, 4, 1, 1, 1, 1, 2, 4, 4, 0, 2, 3, 4, 1, 0, 0, 2, 3, 0, 1, 3, 1, 1, 3, 4, 0, 3, 3, 2, 0, 2, 1, 3, 1, 0, 3, 0, 2, 3, 2, 4, 3, 3, 2, 3, 0, 2, 0, 1, 4, 0, 3, 0, 3, 4, 4, 2, 4, 3, 0, 1, 0, 1, 2, 2, 0, 1, 1, 4, 2, 4, 4, 4, 2, 4, 1, 3, 1, 4, 0, 3, 2, 0, 1, 4, 3, 0, 4, 4, 1, 1, 3, 3, 4, 1, 4, 2, 4, 4, 0, 1, 4, 1, 0, 4, 2, 3, 1, 0, 4, 1, 3, 2, 0, 3, 3, 0, 0, 3, 0, 1, 4, 2, 1, 1, 3, 2, 4, 2, 3, 1, 1, 1, 2, 1, 4, 2, 0, 2, 2, 2, 1, 2, 4, 2, 3, 4, 2, 0, 0, 2, 1, 2, 1, 3, 4, 0, 3, 3, 0, 0, 1, 4, 4, 4, 1, 1, 1, 4, 1, 4, 1, 3, 3, 1, 2, 2, 4, 2, 3, 1, 0, 1, 0, 2, 3, 3, 1, 4, 2, 0, 2, 1, 4, 1, 2, 4, 1, 1, 2, 2, 4, 0, 3, 1, 3, 4, 0, 2, 3, 1, 0, 1, 2, 0, 1, 3, 0, 3, 4, 4, 1, 2, 0, 4, 4, 3, 1, 0, 1, 1, 3, 0, 1, 0, 3, 1, 3, 3, 4, 1, 0, 2, 4, 2, 2, 1, 1, 4, 2, 0, 0, 1, 0, 2, 0, 1, 3, 0, 2, 2, 4, 3, 3, 1, 2, 0, 0, 2, 0, 2, 2, 3, 4, 2, 2, 4, 1, 2, 4, 2, 1, 0, 1, 0, 4, 1, 4, 0, 2, 1, 2, 4, 2, 2, 1, 3, 1, 2, 1, 0, 4, 1, 2, 0, 0, 1, 4, 3, 0, 4, 1, 4, 2, 2, 0, 4, 4, 0, 3, 4, 1, 4, 1, 1, 2, 0, 3, 4, 4, 2, 3, 3, 4, 1, 0, 3, 3, 2, 4, 0, 3, 4, 2, 1, 1, 2, 0, 4, 0, 1, 3, 0, 2, 0, 2, 4, 0, 1, 4, 0, 3, 1, 4, 2, 2, 0, 1, 0, 4, 4, 1, 4, 0, 3, 0, 4, 0, 3, 1, 0, 4, 1, 0, 1, 3, 1, 3, 2, 0, 2, 0, 2, 3, 2, 4, 2, 4, 0, 0, 4, 4, 0, 1, 4, 0, 1, 3, 4, 4, 4, 4, 3, 4, 1, 3, 3, 2, 0, 1, 0, 3, 3, 2, 0, 3, 4, 2, 0, 3, 1, 2, 1, 1, 4, 3, 0, 4, 3, 2, 4, 3, 0, 2, 2, 3, 3, 1, 1, 2, 2, 3, 4, 0]
pubkeycol962 = [0, 2, 1, 1, 0, 3, 2, 0, 0, 4, 4, 2, 1, 4, 2, 4, 2, 4, 4, 4, 1, 3, 2, 0, 2, 2, 3, 3, 1, 2, 3, 2, 4, 3, 4, 2, 4, 2, 3, 3, 4, 3, 1, 3, 2, 0, 3, 3, 1, 4, 0, 4, 4, 2, 0, 3, 0, 2, 1, 4, 1, 1, 3, 2, 1, 0, 2, 4, 1, 0, 3, 4, 0, 3, 3, 2, 2, 1, 1, 1, 3, 0, 0, 0, 1, 1, 2, 1, 4, 1, 2, 0, 0, 0, 2, 3, 1, 4, 1, 1, 3, 4, 0, 1, 4, 4, 3, 2, 2, 3, 3, 1, 2, 0, 3, 2, 4, 1, 3, 4, 4, 4, 4, 2, 0, 3, 4, 0, 4, 0, 2, 3, 4, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 3, 1, 0, 1, 4, 2, 4, 4, 1, 4, 3, 2, 2, 0, 3, 0, 0, 2, 2, 1, 0, 4, 4, 2, 3, 1, 1, 4, 3, 3, 2, 2, 2, 2, 1, 3, 0, 0, 4, 3, 1, 3, 2, 4, 4, 1, 4, 4, 1, 1, 0, 4, 2, 1, 0, 2, 0, 3, 4, 3, 3, 0, 1, 1, 3, 4, 0, 0, 3, 2, 0, 0, 4, 1, 4, 0, 3, 3, 2, 2, 4, 4, 0, 0, 1, 1, 1, 3, 0, 3, 4, 1, 0, 0, 2, 2, 0, 1, 3, 3, 3, 4, 1, 2, 0, 1, 2, 4, 0, 4, 3, 0, 1, 3, 2, 4, 0, 1, 0, 2, 3, 4, 1, 4, 4, 4, 1, 2, 2, 0, 4, 2, 4, 0, 0, 0, 0, 4, 2, 3, 2, 4, 0, 2, 3, 3, 3, 1, 3, 2, 1, 4, 4, 2, 0, 2, 4, 2, 2, 4, 1, 3, 2, 3, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 4, 4, 1, 3, 4, 1, 3, 2, 1, 0, 4, 1, 3, 2, 2, 1, 3, 0, 3, 1, 4, 3, 2, 2, 3, 3, 0, 1, 1, 3, 2, 3, 2, 3, 2, 0, 0, 3, 2, 3, 0, 4, 1, 2, 0, 2, 4, 1, 1, 0, 1, 2, 4, 1, 0, 1, 0, 4, 4, 2, 0, 0, 0, 3, 0, 2, 2, 0, 4, 4, 1, 4, 0, 0, 0, 4, 2, 3, 3, 4, 1, 4, 4, 4, 2, 4, 0, 3, 3, 3, 3, 3, 4, 1, 1, 1, 0, 3, 1, 3, 3, 4, 0, 3, 3, 2, 0, 2, 3, 2, 2, 4, 1, 3, 4, 0, 1, 2, 1, 1, 2, 1, 0, 3, 2, 2, 1, 4, 4, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 4, 0, 4, 4, 0, 3, 0, 2, 3, 3, 1, 4, 2, 3, 4, 2, 0, 4, 0, 4, 0, 1, 0, 0, 2, 3, 3, 1, 4, 2, 4, 3, 4, 1, 1, 1, 1, 4, 3, 4, 4, 4, 1, 4, 2, 1, 2]
pubkeycol963 = [4, 3, 1, 0, 4, 0, 1, 4, 4, 2, 1, 3, 0, 3, 1, 1, 2, 0, 0, 3, 3, 1, 3, 3, 3, 2, 2, 3, 1, 2, 0, 0, 2, 0, 4, 4, 0, 2, 3, 2, 4, 4, 0, 0, 4, 0, 4, 0, 3, 2, 4, 1, 3, 4, 4, 0, 3, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 4, 3, 3, 0, 2, 0, 3, 3, 3, 3, 3, 4, 3, 2, 4, 3, 1, 4, 3, 0, 0, 3, 0, 0, 1, 3, 2, 0, 1, 4, 3, 4, 4, 3, 3, 4, 3, 1, 1, 4, 0, 1, 4, 1, 3, 1, 0, 0, 0, 0, 4, 2, 3, 2, 1, 0, 3, 2, 1, 1, 2, 2, 3, 3, 1, 4, 2, 4, 2, 0, 0, 3, 0, 3, 4, 2, 3, 3, 4, 2, 4, 1, 3, 4, 4, 0, 0, 0, 0, 2, 0, 0, 4, 2, 2, 2, 0, 4, 1, 2, 2, 3, 2, 3, 3, 2, 4, 4, 3, 1, 0, 3, 1, 1, 3, 3, 1, 3, 1, 3, 4, 4, 2, 1, 2, 1, 3, 4, 2, 4, 0, 3, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 4, 1, 1, 3, 4, 2, 1, 1, 2, 4, 2, 0, 1, 3, 0, 4, 3, 0, 1, 4, 2, 4, 3, 2, 3, 2, 4, 0, 4, 0, 4, 0, 2, 3, 0, 2, 1, 4, 4, 0, 4, 2, 1, 3, 0, 4, 4, 2, 2, 1, 2, 3, 0, 3, 0, 1, 3, 1, 4, 3, 1, 0, 4, 4, 4, 3, 3, 1, 4, 1, 3, 0, 4, 2, 3, 1, 1, 1, 1, 3, 3, 3, 1, 4, 2, 2, 2, 0, 2, 0, 3, 1, 2, 0, 4, 4, 1, 3, 3, 2, 1, 4, 1, 1, 0, 2, 1, 1, 4, 2, 1, 0, 2, 0, 1, 3, 2, 1, 1, 4, 1, 0, 0, 3, 4, 4, 1, 0, 2, 1, 4, 4, 2, 3, 4, 2, 2, 1, 3, 4, 4, 3, 3, 4, 0, 0, 3, 1, 0, 3, 2, 1, 3, 2, 2, 4, 3, 0, 0, 2, 1, 2, 3, 4, 3, 0, 1, 3, 0, 2, 1, 4, 2, 3, 4, 1, 3, 2, 2, 1, 2, 2, 2, 4, 0, 0, 1, 1, 1, 4, 3, 3, 2, 1, 0, 4, 0, 3, 2, 1, 2, 1, 3, 4, 0, 2, 1, 2, 4, 2, 3, 2, 2, 4, 2, 1, 2, 0, 3, 2, 2, 3, 4, 2, 1, 2, 4, 0, 1, 0, 2, 3, 3, 4, 1, 1, 1, 0, 0, 1, 3, 2, 2, 1, 4, 1, 0, 3, 2, 1, 4, 2, 1, 2, 3, 1, 2, 1, 4, 3, 1, 4, 0, 4, 2, 2, 4, 2, 3, 1, 0, 4, 1, 0, 2, 3, 4, 1, 4, 4, 4, 2, 1, 1, 1, 4, 2, 2, 1, 3, 2, 2, 4, 2]
pubkeycol964 = [3, 2, 3, 0, 1, 2, 3, 4, 2, 4, 0, 2, 4, 2, 4, 1, 0, 1, 3, 2, 2, 3, 2, 0, 3, 2, 2, 4, 2, 4, 0, 3, 1, 3, 4, 4, 0, 0, 1, 0, 1, 0, 4, 0, 4, 2, 3, 0, 0, 2, 1, 2, 3, 2, 4, 3, 2, 3, 0, 3, 4, 2, 4, 2, 3, 1, 2, 3, 4, 4, 3, 4, 2, 1, 2, 2, 3, 2, 3, 0, 4, 0, 4, 3, 0, 0, 3, 4, 1, 4, 2, 3, 0, 1, 3, 2, 0, 3, 2, 0, 0, 0, 4, 1, 2, 4, 4, 1, 3, 2, 0, 2, 4, 2, 3, 2, 4, 4, 2, 1, 3, 3, 1, 4, 4, 4, 3, 3, 0, 4, 4, 2, 0, 2, 1, 0, 0, 3, 3, 3, 4, 0, 0, 0, 3, 3, 1, 3, 4, 2, 4, 3, 0, 2, 4, 0, 2, 0, 0, 4, 3, 1, 2, 2, 4, 4, 2, 4, 2, 3, 4, 4, 0, 3, 0, 1, 4, 0, 2, 3, 0, 0, 4, 4, 0, 0, 0, 2, 3, 3, 1, 0, 4, 4, 2, 0, 1, 3, 4, 2, 2, 3, 2, 0, 3, 0, 3, 3, 3, 2, 2, 0, 4, 3, 0, 1, 3, 4, 1, 3, 2, 0, 0, 1, 0, 3, 3, 0, 2, 1, 4, 2, 4, 1, 4, 1, 1, 3, 0, 1, 3, 1, 1, 1, 4, 1, 4, 2, 2, 4, 1, 2, 4, 1, 0, 2, 0, 1, 0, 0, 4, 2, 4, 1, 3, 0, 2, 3, 0, 2, 4, 4, 4, 0, 3, 3, 0, 0, 2, 0, 2, 2, 0, 0, 0, 4, 3, 2, 0, 1, 2, 1, 1, 3, 0, 3, 0, 0, 4, 4, 0, 3, 4, 1, 0, 4, 2, 1, 1, 3, 3, 0, 0, 3, 2, 4, 1, 2, 0, 2, 4, 1, 0, 1, 0, 0, 1, 2, 1, 3, 3, 3, 2, 4, 2, 2, 4, 4, 2, 0, 4, 1, 2, 2, 3, 3, 3, 3, 4, 2, 4, 0, 2, 0, 0, 0, 4, 1, 1, 3, 2, 1, 0, 2, 4, 2, 3, 4, 4, 4, 0, 0, 1, 3, 2, 3, 3, 3, 4, 3, 4, 1, 3, 4, 3, 2, 0, 4, 4, 3, 0, 0, 4, 0, 2, 1, 1, 4, 3, 0, 4, 4, 4, 2, 2, 3, 1, 1, 2, 4, 4, 4, 2, 1, 2, 1, 0, 4, 3, 0, 2, 1, 3, 1, 4, 2, 1, 4, 4, 0, 1, 2, 2, 0, 0, 4, 2, 2, 3, 2, 4, 0, 0, 0, 3, 1, 3, 0, 0, 3, 4, 2, 4, 4, 3, 1, 1, 1, 4, 2, 4, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 3, 1, 2, 1, 4, 4, 2, 1, 3, 4, 3, 3, 3, 3, 2, 3, 4, 4, 4, 4, 2, 0, 4, 0, 2, 4, 1, 4, 1, 4]
pubkeycol965 = [1, 2, 3, 2, 3, 1, 3, 3, 4, 0, 1, 4, 4, 3, 0, 3, 2, 2, 4, 0, 4, 4, 0, 0, 0, 1, 3, 3, 3, 3, 2, 4, 4, 4, 0, 1, 1, 4, 0, 4, 0, 1, 2, 4, 2, 3, 0, 0, 1, 2, 4, 0, 0, 1, 2, 1, 2, 1, 0, 2, 3, 0, 1, 0, 1, 4, 2, 1, 3, 3, 1, 2, 0, 4, 1, 2, 0, 3, 3, 2, 2, 3, 4, 2, 3, 1, 0, 3, 4, 0, 2, 3, 4, 3, 4, 4, 0, 0, 1, 0, 3, 3, 3, 2, 3, 0, 3, 4, 2, 4, 1, 2, 3, 4, 2, 2, 4, 4, 3, 3, 0, 3, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 3, 2, 3, 1, 0, 4, 0, 0, 2, 1, 2, 3, 1, 2, 2, 0, 3, 2, 2, 3, 0, 3, 0, 4, 2, 2, 0, 4, 3, 1, 2, 1, 3, 4, 3, 0, 1, 2, 2, 4, 1, 0, 2, 3, 1, 4, 1, 1, 0, 0, 1, 0, 0, 4, 4, 4, 0, 1, 2, 0, 2, 3, 4, 4, 2, 0, 3, 0, 4, 3, 1, 1, 4, 0, 4, 3, 1, 2, 1, 4, 4, 0, 2, 2, 4, 2, 1, 4, 1, 2, 0, 1, 0, 0, 1, 4, 3, 0, 4, 4, 2, 0, 4, 2, 0, 0, 1, 0, 4, 0, 4, 4, 2, 4, 4, 2, 0, 4, 1, 3, 1, 4, 3, 0, 2, 3, 4, 4, 4, 4, 3, 4, 2, 2, 1, 1, 1, 2, 1, 0, 4, 0, 1, 0, 4, 2, 4, 0, 0, 0, 4, 1, 4, 0, 1, 2, 4, 1, 2, 0, 1, 3, 0, 1, 3, 4, 2, 1, 3, 0, 0, 1, 0, 1, 3, 1, 2, 0, 2, 0, 2, 3, 1, 0, 1, 2, 4, 2, 0, 4, 1, 3, 2, 3, 4, 0, 4, 0, 2, 0, 2, 1, 3, 3, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 4, 0, 1, 1, 2, 2, 0, 3, 0, 0, 2, 2, 4, 4, 1, 3, 4, 2, 2, 3, 2, 0, 4, 1, 2, 3, 1, 4, 1, 1, 0, 0, 3, 2, 0, 3, 2, 4, 1, 2, 4, 1, 2, 4, 2, 4, 3, 3, 2, 1, 1, 3, 0, 1, 4, 2, 4, 4, 0, 4, 2, 1, 1, 3, 1, 4, 2, 1, 1, 4, 3, 2, 4, 2, 4, 0, 0, 0, 1, 1, 4, 0, 3, 1, 2, 0, 3, 0, 1, 2, 3, 3, 1, 4, 3, 1, 3, 0, 0, 4, 1, 3, 0, 3, 1, 1, 4, 2, 2, 3, 4, 0, 0, 0, 2, 1, 1, 2, 2, 3, 0, 0, 2, 3, 3, 1, 4, 4, 1, 0, 2, 4, 2, 0, 4, 4, 0, 4, 2, 0, 3, 3, 1, 1, 0, 0, 0, 0, 1, 3, 0, 3, 1, 3, 1, 0, 2]
pubkeycol966 = [4, 4, 3, 4, 1, 0, 4, 4, 1, 0, 3, 4, 4, 4, 4, 4, 1, 2, 0, 0, 2, 4, 3, 3, 4, 2, 2, 4, 4, 3, 3, 2, 0, 2, 3, 1, 3, 0, 2, 4, 3, 3, 1, 2, 1, 2, 0, 3, 4, 1, 4, 2, 4, 1, 1, 1, 2, 0, 0, 3, 4, 4, 2, 1, 4, 0, 0, 4, 0, 1, 0, 3, 1, 3, 1, 1, 3, 0, 2, 0, 4, 0, 0, 3, 4, 4, 4, 1, 2, 0, 3, 3, 4, 4, 1, 2, 4, 1, 4, 3, 2, 0, 4, 0, 0, 0, 4, 0, 0, 2, 0, 2, 4, 2, 4, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 4, 2, 0, 2, 1, 3, 3, 1, 4, 2, 1, 1, 3, 4, 3, 2, 4, 2, 1, 3, 3, 3, 0, 0, 4, 3, 4, 2, 2, 4, 2, 4, 1, 0, 3, 3, 0, 2, 2, 2, 3, 2, 1, 1, 4, 3, 1, 2, 0, 4, 4, 3, 1, 4, 4, 1, 4, 4, 4, 0, 3, 3, 0, 2, 0, 3, 3, 0, 2, 0, 3, 4, 3, 1, 0, 1, 0, 4, 0, 2, 3, 2, 0, 0, 1, 1, 3, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 4, 2, 4, 1, 0, 2, 2, 1, 0, 4, 3, 4, 1, 0, 4, 4, 0, 0, 1, 1, 3, 3, 1, 0, 3, 4, 0, 2, 3, 2, 0, 1, 4, 4, 3, 1, 4, 1, 3, 4, 0, 3, 1, 1, 4, 1, 4, 2, 2, 0, 3, 1, 0, 1, 0, 2, 3, 1, 4, 2, 1, 3, 1, 0, 3, 0, 3, 3, 1, 3, 2, 3, 1, 3, 0, 4, 3, 0, 4, 3, 2, 4, 0, 0, 4, 1, 4, 1, 4, 1, 1, 0, 3, 4, 1, 3, 0, 4, 0, 0, 4, 1, 2, 3, 2, 2, 1, 1, 4, 2, 1, 1, 1, 1, 1, 0, 4, 4, 1, 4, 0, 2, 1, 3, 3, 3, 0, 2, 3, 1, 1, 1, 3, 1, 0, 3, 4, 3, 2, 1, 3, 1, 4, 0, 2, 0, 3, 3, 4, 0, 0, 4, 1, 3, 3, 2, 1, 3, 3, 4, 3, 0, 2, 0, 4, 3, 2, 2, 2, 3, 0, 2, 1, 3, 1, 2, 2, 0, 4, 0, 1, 4, 0, 2, 2, 0, 1, 3, 1, 2, 1, 3, 3, 3, 0, 3, 4, 1, 0, 1, 2, 4, 4, 3, 3, 2, 4, 3, 1, 2, 4, 3, 4, 3, 4, 3, 2, 2, 2, 2, 0, 2, 3, 1, 0, 0, 2, 0, 1, 3, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 4, 3, 2, 4, 4, 0, 0, 4, 0, 0, 4, 1, 4, 0, 1, 0, 4, 3, 1, 1, 2, 1, 3, 4, 0, 1, 0, 1, 2, 2, 0, 3, 0, 0, 4, 4, 4]
pubkeycol967 = [4, 4, 1, 2, 3, 3, 2, 3, 3, 2, 0, 4, 1, 3, 0, 0, 2, 1, 0, 4, 3, 0, 3, 0, 2, 1, 4, 3, 3, 2, 2, 0, 1, 3, 4, 3, 4, 0, 2, 0, 1, 0, 0, 3, 3, 3, 3, 0, 2, 1, 0, 2, 0, 1, 3, 3, 4, 1, 2, 1, 1, 3, 3, 1, 0, 4, 1, 1, 2, 1, 0, 4, 1, 4, 0, 0, 4, 4, 3, 3, 0, 4, 0, 4, 4, 0, 3, 3, 4, 3, 2, 4, 1, 3, 1, 0, 2, 1, 0, 1, 1, 2, 3, 2, 3, 4, 0, 3, 2, 3, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 4, 3, 0, 0, 2, 4, 4, 2, 4, 2, 4, 3, 1, 3, 3, 3, 4, 2, 3, 4, 0, 4, 0, 1, 3, 4, 3, 3, 1, 0, 0, 2, 3, 4, 4, 0, 2, 3, 1, 3, 2, 4, 3, 3, 3, 3, 3, 3, 3, 1, 4, 1, 1, 3, 1, 3, 2, 3, 4, 0, 1, 0, 3, 2, 1, 0, 4, 2, 3, 1, 1, 3, 3, 2, 4, 0, 2, 2, 1, 1, 4, 2, 3, 1, 3, 3, 0, 2, 2, 0, 2, 3, 3, 3, 1, 4, 1, 4, 3, 0, 3, 0, 4, 2, 0, 1, 4, 3, 3, 2, 2, 4, 3, 0, 1, 0, 0, 4, 1, 0, 1, 2, 2, 0, 2, 2, 4, 1, 3, 4, 4, 3, 1, 1, 4, 4, 2, 2, 4, 3, 3, 4, 1, 2, 0, 4, 4, 3, 2, 1, 4, 0, 3, 3, 0, 3, 1, 0, 2, 0, 4, 3, 2, 0, 3, 4, 1, 2, 1, 1, 1, 1, 4, 3, 4, 0, 0, 4, 2, 1, 3, 3, 4, 1, 1, 2, 0, 1, 0, 2, 2, 4, 0, 2, 4, 0, 1, 3, 4, 3, 0, 1, 0, 0, 1, 3, 1, 1, 2, 1, 0, 2, 3, 4, 4, 3, 1, 1, 3, 3, 4, 3, 2, 2, 1, 2, 4, 2, 1, 0, 3, 0, 3, 0, 2, 1, 4, 4, 1, 1, 0, 0, 1, 4, 3, 0, 0, 0, 3, 0, 1, 4, 3, 0, 1, 3, 0, 2, 4, 0, 1, 1, 3, 0, 0, 0, 0, 1, 2, 2, 0, 4, 3, 1, 2, 2, 4, 4, 3, 2, 4, 0, 0, 3, 4, 3, 1, 2, 2, 4, 1, 1, 0, 1, 2, 4, 0, 1, 3, 1, 0, 0, 0, 3, 4, 3, 4, 0, 0, 3, 0, 3, 4, 1, 2, 1, 2, 2, 2, 0, 2, 0, 3, 3, 2, 3, 4, 3, 4, 4, 2, 4, 4, 4, 2, 2, 4, 1, 4, 2, 4, 2, 0, 2, 4, 0, 3, 2, 4, 3, 2, 3, 0, 1, 2, 3, 1, 1, 4, 3, 4, 4, 4, 2, 0, 4, 1, 1, 4, 0, 2, 3, 1, 2, 3, 1, 4, 3, 1, 0, 2, 4, 3, 4]
pubkeycol968 = [1, 1, 3, 0, 2, 4, 1, 1, 4, 2, 4, 1, 4, 0, 3, 2, 2, 3, 2, 1, 4, 4, 4, 4, 2, 4, 3, 3, 2, 2, 3, 2, 2, 1, 4, 3, 3, 0, 2, 4, 4, 3, 3, 3, 2, 2, 2, 3, 4, 2, 4, 0, 3, 2, 0, 4, 2, 1, 1, 4, 1, 2, 4, 2, 0, 4, 4, 3, 4, 1, 2, 4, 0, 1, 1, 2, 1, 2, 0, 0, 4, 1, 4, 1, 3, 3, 3, 4, 2, 1, 2, 4, 3, 0, 0, 0, 3, 3, 3, 3, 2, 3, 1, 1, 2, 2, 3, 1, 2, 3, 2, 1, 2, 0, 3, 3, 4, 3, 1, 2, 1, 1, 2, 2, 0, 4, 3, 3, 3, 1, 2, 4, 2, 0, 4, 3, 0, 3, 2, 2, 2, 2, 3, 1, 1, 0, 0, 0, 4, 2, 0, 0, 4, 1, 0, 2, 3, 1, 2, 4, 1, 1, 1, 3, 1, 0, 0, 3, 4, 0, 1, 1, 1, 1, 4, 0, 2, 2, 0, 4, 0, 0, 2, 3, 4, 1, 3, 4, 0, 2, 0, 2, 3, 2, 0, 2, 1, 0, 2, 2, 3, 2, 0, 4, 2, 1, 3, 1, 3, 3, 4, 0, 4, 3, 2, 2, 3, 2, 3, 1, 2, 0, 1, 4, 0, 1, 4, 4, 1, 0, 0, 3, 0, 4, 0, 3, 0, 2, 2, 3, 0, 0, 2, 1, 3, 2, 2, 4, 4, 0, 4, 3, 1, 0, 0, 4, 4, 1, 0, 4, 4, 1, 2, 4, 2, 3, 2, 2, 0, 4, 4, 2, 4, 4, 0, 4, 4, 0, 4, 1, 1, 3, 2, 3, 2, 1, 1, 1, 4, 2, 0, 4, 3, 3, 1, 1, 0, 2, 0, 0, 0, 2, 0, 3, 2, 4, 1, 2, 0, 3, 1, 0, 3, 2, 0, 0, 1, 4, 1, 1, 3, 1, 4, 1, 1, 1, 3, 1, 0, 2, 4, 4, 4, 2, 3, 1, 0, 3, 1, 4, 0, 1, 2, 2, 2, 3, 0, 4, 2, 4, 1, 1, 1, 0, 1, 4, 2, 4, 2, 3, 2, 1, 3, 0, 0, 0, 1, 3, 1, 4, 0, 4, 4, 4, 0, 0, 1, 2, 2, 2, 0, 3, 1, 3, 3, 2, 4, 4, 4, 3, 0, 2, 4, 2, 0, 0, 0, 1, 0, 4, 3, 4, 1, 3, 4, 1, 1, 2, 4, 0, 3, 0, 2, 1, 1, 4, 1, 2, 2, 4, 1, 4, 2, 0, 0, 4, 4, 4, 3, 2, 2, 4, 2, 3, 0, 4, 4, 0, 2, 0, 3, 1, 0, 3, 3, 3, 2, 4, 0, 2, 2, 4, 4, 4, 2, 3, 4, 1, 1, 1, 3, 4, 1, 0, 0, 1, 2, 2, 0, 1, 2, 4, 1, 2, 2, 4, 3, 3, 4, 2, 4, 1, 0, 0, 3, 2, 3, 4, 1, 2, 0, 1, 0, 0, 1, 2, 3, 2, 1, 1, 1, 2, 3, 2, 0]
pubkeycol969 = [2, 4, 0, 3, 1, 4, 4, 1, 1, 1, 1, 4, 2, 1, 3, 1, 3, 1, 3, 4, 0, 3, 0, 3, 3, 1, 1, 0, 3, 3, 1, 1, 1, 4, 4, 1, 4, 1, 1, 4, 2, 2, 4, 3, 4, 3, 3, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 3, 3, 0, 4, 4, 0, 1, 3, 2, 0, 2, 4, 1, 4, 2, 0, 3, 1, 3, 2, 4, 1, 4, 3, 0, 3, 0, 0, 1, 1, 1, 2, 3, 1, 2, 1, 0, 2, 2, 3, 3, 0, 3, 3, 4, 1, 0, 0, 2, 2, 3, 3, 2, 4, 0, 2, 1, 2, 1, 0, 0, 0, 4, 1, 1, 0, 3, 2, 3, 1, 0, 4, 3, 3, 4, 0, 0, 3, 2, 0, 2, 3, 4, 0, 0, 0, 2, 2, 4, 2, 2, 3, 4, 0, 3, 4, 1, 2, 3, 2, 3, 1, 3, 2, 3, 3, 4, 0, 4, 4, 3, 3, 0, 3, 0, 3, 2, 1, 2, 4, 2, 0, 2, 1, 2, 4, 2, 4, 2, 1, 2, 2, 2, 4, 1, 0, 3, 2, 2, 4, 1, 2, 1, 0, 0, 1, 0, 3, 2, 3, 1, 2, 0, 2, 1, 0, 1, 1, 4, 1, 2, 2, 1, 1, 2, 1, 1, 3, 4, 0, 1, 1, 3, 1, 3, 3, 1, 0, 1, 0, 3, 4, 4, 3, 2, 2, 2, 1, 1, 4, 2, 0, 3, 4, 2, 3, 3, 4, 4, 4, 3, 4, 0, 0, 3, 4, 2, 2, 1, 2, 0, 2, 4, 4, 0, 0, 0, 3, 0, 0, 0, 2, 4, 4, 0, 4, 1, 2, 3, 0, 1, 1, 2, 0, 4, 4, 4, 0, 1, 3, 4, 4, 0, 4, 1, 1, 2, 4, 0, 0, 0, 2, 4, 2, 3, 1, 2, 1, 3, 2, 3, 2, 1, 4, 1, 3, 1, 2, 4, 0, 2, 2, 4, 0, 3, 1, 1, 0, 0, 4, 0, 2, 2, 0, 0, 3, 4, 2, 4, 4, 1, 0, 1, 2, 0, 2, 1, 3, 3, 2, 0, 0, 3, 3, 1, 1, 3, 1, 1, 1, 3, 4, 1, 2, 4, 3, 4, 1, 1, 0, 2, 1, 4, 0, 4, 4, 1, 1, 1, 3, 1, 3, 1, 1, 4, 4, 1, 3, 0, 3, 2, 3, 4, 1, 4, 4, 0, 1, 0, 4, 3, 0, 1, 1, 4, 3, 1, 2, 0, 4, 0, 1, 4, 3, 2, 1, 0, 4, 4, 4, 4, 1, 1, 3, 0, 1, 0, 3, 1, 2, 2, 0, 2, 3, 1, 1, 1, 0, 3, 3, 3, 1, 2, 0, 1, 3, 0, 0, 1, 4, 2, 0, 1, 4, 0, 1, 0, 2, 2, 1, 1, 2, 4, 2, 1, 3, 2, 4, 4, 1, 0, 4, 1, 1, 2, 4, 1, 4, 2, 1, 0, 2, 4, 3, 2, 3, 2, 1, 0, 4, 3, 0, 0, 1, 0, 4, 3, 2]
pubkeycol970 = [1, 0, 1, 3, 3, 1, 1, 2, 3, 0, 1, 3, 1, 1, 3, 3, 2, 2, 4, 3, 3, 3, 4, 0, 2, 4, 1, 3, 0, 1, 1, 3, 1, 4, 2, 4, 4, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 2, 2, 2, 4, 3, 3, 1, 3, 2, 3, 1, 3, 3, 2, 3, 3, 3, 4, 4, 2, 0, 2, 3, 1, 4, 4, 1, 3, 0, 2, 0, 3, 2, 4, 2, 3, 0, 1, 3, 2, 4, 4, 2, 2, 3, 3, 1, 3, 4, 3, 0, 4, 3, 4, 4, 3, 1, 0, 1, 4, 2, 3, 4, 0, 0, 1, 4, 3, 2, 3, 2, 3, 1, 1, 3, 3, 1, 0, 3, 0, 3, 0, 3, 4, 3, 4, 0, 0, 1, 3, 4, 4, 3, 2, 4, 1, 1, 0, 0, 1, 3, 0, 2, 0, 4, 0, 3, 3, 1, 3, 4, 4, 2, 3, 1, 4, 2, 4, 0, 0, 3, 4, 1, 0, 0, 3, 1, 3, 1, 2, 4, 2, 3, 3, 3, 0, 2, 1, 1, 4, 0, 0, 1, 0, 3, 0, 3, 0, 0, 1, 4, 0, 3, 2, 0, 2, 1, 3, 2, 3, 3, 2, 1, 2, 3, 3, 4, 4, 2, 2, 4, 1, 4, 2, 0, 0, 0, 4, 4, 2, 1, 0, 0, 3, 1, 3, 3, 4, 4, 3, 3, 2, 0, 3, 4, 1, 1, 2, 4, 1, 2, 2, 4, 3, 3, 4, 4, 1, 3, 3, 3, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 4, 4, 2, 4, 0, 3, 1, 4, 1, 1, 1, 2, 3, 2, 3, 2, 0, 1, 0, 2, 4, 1, 4, 0, 4, 3, 1, 4, 2, 1, 4, 0, 3, 3, 0, 3, 1, 4, 1, 0, 0, 0, 4, 2, 1, 0, 2, 0, 2, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 4, 0, 3, 1, 3, 3, 2, 1, 2, 2, 4, 0, 3, 3, 0, 3, 2, 3, 4, 0, 0, 2, 1, 2, 3, 2, 0, 4, 0, 1, 2, 3, 4, 3, 0, 0, 3, 4, 4, 3, 3, 3, 0, 4, 0, 4, 2, 1, 3, 1, 3, 0, 2, 1, 1, 0, 3, 1, 3, 1, 3, 1, 1, 1, 1, 2, 2, 4, 1, 3, 1, 0, 1, 3, 2, 1, 3, 3, 2, 4, 1, 2, 0, 0, 3, 2, 4, 0, 0, 0, 4, 3, 3, 1, 3, 3, 1, 3, 4, 4, 4, 4, 4, 1, 3, 4, 0, 3, 4, 1, 2, 2, 4, 2, 4, 2, 0, 3, 2, 1, 0, 2, 1, 3, 3, 2, 4, 2, 1, 3, 3, 1, 2, 2, 0, 4, 4, 4, 1, 0, 3, 2, 0, 0, 4, 0, 3, 1, 1, 4, 2, 4, 4, 1, 3, 0, 2, 2, 2, 2, 0, 3, 3, 4, 2, 0, 4, 3, 3, 3, 0, 1, 4, 4, 4, 0, 0]
pubkeycol971 = [3, 0, 0, 2, 2, 2, 3, 3, 2, 1, 1, 0, 0, 0, 4, 0, 2, 2, 3, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 4, 1, 2, 1, 3, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 3, 0, 2, 3, 4, 3, 0, 0, 1, 0, 3, 2, 2, 4, 2, 3, 1, 2, 3, 2, 1, 3, 0, 3, 4, 2, 4, 3, 3, 0, 0, 2, 1, 3, 0, 3, 2, 1, 1, 0, 3, 1, 2, 2, 2, 3, 1, 4, 4, 1, 0, 3, 4, 2, 1, 2, 1, 3, 2, 4, 2, 3, 3, 3, 3, 2, 0, 4, 0, 1, 3, 0, 1, 2, 2, 1, 3, 1, 0, 3, 4, 4, 4, 0, 1, 0, 0, 1, 2, 3, 3, 1, 1, 3, 0, 4, 3, 1, 4, 0, 2, 1, 4, 3, 4, 1, 2, 3, 2, 0, 4, 3, 2, 3, 2, 0, 2, 1, 4, 1, 3, 3, 4, 2, 0, 2, 3, 3, 4, 2, 1, 0, 2, 3, 3, 1, 3, 0, 2, 0, 1, 0, 1, 2, 3, 4, 4, 0, 0, 4, 0, 1, 1, 0, 1, 1, 0, 1, 0, 4, 1, 0, 0, 2, 0, 0, 2, 0, 4, 0, 2, 2, 4, 2, 0, 4, 2, 1, 4, 3, 3, 4, 2, 1, 2, 4, 3, 0, 4, 0, 4, 0, 4, 0, 1, 0, 3, 4, 1, 4, 2, 2, 2, 0, 3, 2, 4, 4, 4, 4, 2, 2, 0, 3, 0, 1, 2, 0, 4, 1, 4, 3, 0, 3, 2, 4, 2, 4, 1, 0, 1, 1, 1, 3, 2, 3, 0, 1, 1, 0, 3, 2, 0, 4, 2, 3, 0, 3, 1, 3, 1, 2, 0, 3, 1, 3, 2, 2, 2, 3, 0, 4, 2, 0, 1, 4, 3, 4, 4, 3, 2, 0, 2, 0, 4, 1, 0, 3, 0, 2, 1, 4, 3, 4, 2, 3, 2, 0, 3, 2, 0, 0, 4, 1, 4, 2, 2, 3, 3, 4, 4, 4, 2, 3, 2, 1, 0, 1, 0, 2, 1, 2, 3, 1, 2, 1, 4, 2, 3, 4, 2, 3, 3, 2, 3, 3, 0, 3, 4, 4, 3, 4, 3, 3, 3, 3, 1, 4, 2, 3, 3, 2, 2, 0, 0, 2, 2, 0, 0, 3, 2, 4, 0, 1, 2, 2, 4, 0, 3, 0, 3, 1, 2, 2, 1, 0, 0, 3, 2, 4, 4, 4, 1, 3, 1, 3, 1, 0, 4, 3, 1, 2, 1, 0, 4, 4, 1, 4, 2, 2, 1, 3, 3, 2, 2, 3, 1, 3, 0, 3, 2, 4, 4, 2, 1, 0, 4, 1, 3, 1, 0, 0, 2, 0, 3, 4, 2, 0, 3, 2, 4, 3, 1, 2, 4, 2, 4, 4, 2, 0, 3, 1, 4, 2, 3, 4, 3, 0, 3, 4, 3, 2, 0, 0, 4, 3, 0, 3, 4, 0, 2, 4, 4, 3, 0, 1, 4, 1, 1]
pubkeycol972 = [3, 0, 1, 4, 4, 0, 2, 0, 1, 2, 2, 4, 3, 2, 4, 2, 4, 4, 4, 0, 4, 1, 3, 4, 3, 3, 0, 0, 1, 2, 4, 3, 1, 2, 4, 1, 3, 0, 0, 4, 4, 4, 4, 4, 2, 4, 4, 3, 1, 2, 3, 2, 3, 0, 2, 4, 4, 3, 0, 2, 4, 4, 4, 3, 4, 3, 4, 3, 2, 0, 2, 4, 3, 0, 1, 2, 4, 4, 1, 1, 4, 4, 1, 4, 2, 1, 3, 2, 4, 2, 1, 1, 1, 4, 4, 2, 4, 2, 0, 1, 2, 4, 3, 4, 1, 1, 0, 4, 0, 0, 4, 4, 4, 1, 3, 0, 3, 4, 1, 3, 0, 2, 0, 3, 1, 2, 3, 1, 2, 0, 4, 0, 2, 2, 3, 0, 0, 1, 2, 2, 4, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 3, 2, 4, 1, 2, 4, 2, 2, 1, 1, 3, 4, 1, 2, 4, 3, 3, 1, 0, 1, 2, 4, 3, 3, 1, 3, 2, 0, 0, 0, 3, 2, 2, 3, 1, 1, 4, 3, 3, 4, 3, 4, 2, 2, 4, 4, 0, 2, 0, 0, 2, 0, 0, 3, 4, 3, 4, 2, 2, 4, 3, 2, 4, 1, 4, 4, 4, 2, 1, 1, 0, 4, 4, 4, 0, 4, 0, 2, 0, 4, 4, 2, 0, 1, 2, 1, 0, 2, 2, 0, 4, 4, 2, 1, 4, 2, 3, 1, 4, 0, 0, 1, 2, 0, 1, 0, 1, 4, 4, 4, 0, 4, 2, 4, 0, 0, 2, 3, 0, 1, 2, 3, 4, 2, 1, 4, 2, 2, 0, 0, 3, 3, 4, 1, 1, 2, 4, 2, 2, 1, 0, 3, 2, 1, 1, 0, 1, 2, 4, 2, 0, 1, 1, 4, 4, 4, 0, 0, 0, 3, 2, 4, 2, 1, 1, 4, 0, 0, 0, 2, 4, 3, 2, 0, 4, 4, 0, 0, 3, 2, 0, 2, 2, 2, 1, 0, 3, 0, 2, 4, 4, 3, 1, 3, 1, 3, 4, 2, 0, 1, 1, 3, 1, 0, 2, 0, 3, 0, 2, 4, 2, 4, 0, 3, 0, 2, 3, 0, 3, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 4, 3, 0, 0, 3, 3, 0, 4, 2, 0, 1, 3, 4, 3, 0, 3, 2, 2, 2, 4, 4, 1, 0, 0, 2, 2, 1, 1, 3, 2, 1, 4, 4, 1, 3, 3, 1, 0, 1, 3, 0, 2, 2, 4, 3, 1, 0, 3, 1, 0, 0, 2, 4, 1, 0, 1, 4, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 3, 1, 1, 1, 4, 2, 2, 4, 3, 0, 4, 2, 3, 1, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 3, 4, 4, 4, 4, 4, 3, 3, 4, 2, 3, 3, 1, 1, 2, 1, 1, 1, 1, 4, 0, 3, 1, 1, 3, 3, 3, 0, 2, 2, 0, 0, 2]
pubkeycol973 = [3, 1, 2, 1, 0, 0, 4, 3, 2, 0, 0, 4, 3, 0, 3, 1, 4, 1, 2, 1, 2, 1, 2, 0, 1, 0, 4, 1, 2, 1, 4, 1, 3, 3, 1, 0, 1, 0, 3, 2, 3, 2, 1, 4, 4, 1, 0, 1, 4, 1, 0, 2, 3, 1, 4, 2, 2, 0, 0, 3, 1, 1, 4, 3, 2, 1, 3, 4, 1, 2, 0, 2, 0, 0, 0, 3, 2, 1, 0, 1, 0, 2, 3, 1, 2, 3, 4, 3, 3, 2, 4, 2, 1, 3, 2, 3, 1, 4, 0, 0, 0, 4, 2, 0, 2, 1, 3, 1, 0, 4, 2, 2, 0, 0, 2, 0, 4, 2, 4, 4, 4, 1, 1, 1, 3, 0, 4, 3, 4, 0, 3, 2, 2, 4, 1, 1, 0, 4, 2, 3, 1, 1, 3, 3, 0, 1, 2, 4, 2, 4, 0, 4, 1, 3, 4, 1, 2, 2, 4, 3, 4, 1, 4, 2, 3, 2, 3, 3, 3, 2, 3, 3, 4, 2, 4, 4, 4, 1, 3, 0, 0, 0, 3, 4, 1, 0, 1, 2, 4, 1, 0, 4, 3, 0, 1, 3, 1, 4, 0, 2, 4, 3, 3, 3, 3, 0, 3, 1, 2, 1, 3, 0, 2, 3, 0, 1, 3, 4, 3, 2, 0, 2, 1, 1, 4, 4, 4, 3, 2, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 1, 3, 1, 2, 4, 3, 0, 4, 4, 0, 4, 4, 2, 1, 1, 3, 3, 2, 1, 4, 4, 1, 1, 3, 2, 1, 1, 0, 2, 3, 0, 3, 4, 0, 0, 2, 4, 4, 2, 2, 1, 3, 3, 1, 1, 1, 4, 4, 1, 0, 3, 3, 4, 4, 1, 2, 0, 2, 2, 0, 4, 0, 3, 2, 0, 2, 2, 3, 1, 1, 0, 4, 4, 4, 3, 2, 2, 2, 2, 3, 4, 2, 2, 0, 3, 4, 4, 0, 3, 1, 0, 1, 1, 4, 4, 0, 1, 3, 3, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 4, 0, 0, 2, 2, 1, 0, 0, 0, 4, 3, 1, 4, 4, 2, 3, 1, 4, 3, 0, 4, 0, 3, 3, 3, 0, 1, 1, 2, 0, 2, 0, 4, 1, 0, 0, 2, 1, 4, 2, 2, 0, 4, 3, 0, 2, 0, 1, 4, 4, 1, 4, 1, 2, 3, 2, 4, 4, 0, 0, 4, 4, 1, 0, 4, 4, 3, 3, 1, 3, 1, 4, 0, 3, 1, 1, 1, 0, 2, 0, 4, 2, 2, 3, 3, 1, 4, 2, 4, 3, 3, 1, 1, 2, 2, 0, 1, 4, 1, 0, 2, 1, 3, 3, 1, 1, 4, 4, 4, 3, 4, 4, 2, 1, 3, 1, 3, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 3, 3, 3, 0, 1, 2, 4, 3, 1, 1, 1, 4, 3, 0, 4, 0, 1, 0, 1, 2, 3, 3, 0, 3, 2, 0, 3, 0, 2]
pubkeycol974 = [4, 1, 0, 2, 4, 2, 4, 1, 2, 2, 2, 3, 3, 4, 4, 2, 1, 1, 0, 3, 2, 1, 3, 2, 3, 4, 2, 0, 2, 2, 3, 2, 3, 0, 3, 4, 0, 3, 0, 2, 0, 4, 0, 0, 4, 2, 4, 4, 2, 1, 3, 0, 1, 3, 4, 0, 3, 3, 3, 3, 3, 1, 2, 4, 3, 2, 4, 3, 1, 0, 3, 1, 3, 4, 1, 3, 0, 2, 0, 3, 1, 0, 0, 2, 0, 0, 0, 1, 3, 4, 4, 4, 4, 2, 4, 1, 0, 4, 3, 1, 1, 1, 0, 4, 0, 0, 2, 2, 3, 4, 0, 2, 0, 3, 0, 3, 3, 0, 1, 4, 4, 0, 3, 4, 2, 4, 4, 4, 2, 0, 0, 2, 3, 0, 4, 2, 1, 0, 3, 0, 0, 0, 2, 1, 1, 0, 2, 4, 0, 1, 0, 0, 4, 2, 4, 4, 4, 0, 1, 1, 2, 2, 2, 2, 4, 1, 3, 1, 2, 2, 4, 3, 0, 1, 1, 4, 3, 0, 2, 3, 4, 4, 1, 0, 4, 1, 0, 0, 4, 2, 0, 2, 0, 0, 0, 0, 1, 4, 2, 4, 4, 3, 1, 4, 0, 2, 0, 2, 4, 1, 1, 3, 0, 0, 0, 4, 2, 1, 1, 2, 3, 3, 0, 4, 0, 2, 1, 1, 3, 0, 3, 2, 2, 3, 2, 4, 0, 2, 1, 0, 1, 0, 3, 0, 2, 4, 1, 2, 0, 0, 3, 0, 2, 3, 2, 2, 1, 3, 3, 3, 0, 3, 1, 1, 1, 3, 0, 1, 3, 1, 0, 4, 4, 0, 4, 1, 0, 1, 3, 3, 1, 2, 3, 1, 0, 4, 4, 1, 2, 1, 1, 1, 3, 2, 1, 2, 1, 3, 2, 1, 2, 0, 3, 0, 1, 4, 4, 2, 3, 4, 4, 0, 3, 0, 0, 2, 1, 2, 4, 3, 2, 2, 3, 3, 0, 1, 3, 0, 3, 4, 0, 1, 1, 0, 0, 2, 4, 1, 1, 1, 1, 3, 2, 3, 4, 3, 3, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 4, 4, 2, 3, 3, 4, 0, 0, 2, 2, 1, 0, 0, 0, 4, 3, 3, 3, 1, 1, 4, 3, 3, 1, 3, 0, 1, 4, 0, 2, 4, 0, 4, 4, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 4, 1, 3, 3, 1, 4, 0, 1, 2, 1, 4, 3, 4, 3, 3, 4, 2, 2, 1, 1, 2, 0, 3, 2, 2, 3, 0, 3, 2, 1, 4, 4, 1, 3, 4, 0, 4, 0, 4, 3, 1, 3, 4, 2, 0, 4, 0, 0, 2, 0, 4, 4, 3, 2, 4, 3, 0, 0, 1, 4, 2, 4, 3, 3, 1, 4, 1, 3, 4, 2, 2, 3, 1, 0, 1, 0, 4, 4, 1, 2, 0, 0, 1, 1, 0, 4, 1, 3, 2, 3, 0, 3, 3, 0, 4, 4, 1, 3, 1, 2, 1, 0]
pubkeycol975 = [4, 3, 4, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 4, 2, 4, 4, 4, 2, 0, 4, 4, 2, 4, 1, 0, 4, 0, 3, 2, 4, 3, 1, 3, 4, 4, 2, 4, 1, 1, 1, 2, 3, 1, 0, 2, 1, 3, 2, 3, 4, 4, 3, 3, 3, 1, 2, 0, 3, 1, 2, 3, 0, 1, 1, 4, 3, 0, 0, 0, 3, 4, 1, 1, 2, 3, 1, 4, 3, 1, 3, 4, 4, 2, 2, 3, 1, 0, 4, 4, 4, 2, 2, 2, 3, 3, 4, 3, 1, 1, 3, 3, 0, 0, 4, 1, 2, 0, 3, 0, 1, 2, 0, 1, 1, 3, 4, 1, 1, 1, 3, 1, 4, 2, 2, 1, 3, 0, 3, 4, 3, 0, 2, 1, 1, 3, 3, 3, 4, 4, 1, 1, 1, 1, 0, 2, 4, 2, 0, 0, 0, 2, 0, 3, 3, 1, 1, 4, 2, 3, 3, 2, 4, 3, 2, 1, 3, 3, 2, 4, 1, 2, 3, 4, 0, 0, 3, 1, 3, 3, 2, 3, 0, 1, 2, 2, 2, 0, 0, 4, 2, 3, 2, 2, 1, 4, 4, 1, 2, 3, 0, 3, 4, 4, 3, 0, 0, 2, 3, 0, 2, 4, 1, 3, 3, 0, 0, 2, 0, 4, 4, 1, 4, 2, 1, 4, 3, 3, 4, 2, 4, 2, 0, 0, 3, 4, 1, 0, 3, 0, 4, 2, 1, 3, 4, 0, 1, 2, 0, 0, 1, 3, 4, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 4, 1, 2, 1, 1, 0, 2, 2, 4, 3, 3, 3, 0, 1, 2, 4, 2, 4, 2, 2, 0, 2, 2, 4, 0, 2, 0, 2, 3, 3, 1, 0, 4, 3, 4, 3, 0, 1, 2, 3, 0, 1, 4, 0, 1, 2, 3, 1, 0, 1, 0, 3, 0, 3, 1, 3, 4, 4, 1, 0, 4, 0, 4, 2, 4, 0, 3, 0, 1, 1, 0, 4, 2, 4, 0, 2, 3, 1, 4, 1, 4, 3, 1, 1, 1, 3, 4, 2, 3, 2, 2, 2, 4, 1, 3, 1, 0, 1, 0, 1, 3, 3, 2, 0, 4, 4, 1, 0, 4, 2, 1, 2, 4, 3, 0, 1, 3, 3, 2, 4, 3, 2, 4, 4, 4, 1, 3, 0, 0, 4, 4, 2, 1, 0, 4, 1, 4, 1, 2, 0, 2, 1, 1, 2, 2, 3, 2, 4, 1, 1, 1, 1, 0, 1, 4, 0, 4, 1, 0, 0, 0, 1, 0, 1, 4, 1, 1, 4, 2, 0, 4, 4, 4, 2, 3, 4, 3, 2, 2, 4, 2, 4, 2, 1, 2, 2, 4, 0, 0, 4, 4, 2, 3, 2, 2, 4, 2, 3, 1, 2, 2, 2, 1, 1, 2, 2, 4, 1, 4, 3, 4, 1, 4, 1, 2, 2, 2, 4, 4, 1, 2, 1, 0, 4, 3, 1, 1, 2, 1, 4, 1, 4, 2, 3, 0, 3, 2, 0, 0, 1, 0]
pubkeycol976 = [3, 4, 4, 4, 3, 1, 2, 4, 2, 3, 2, 3, 0, 1, 0, 1, 1, 3, 0, 1, 1, 0, 3, 1, 0, 2, 4, 0, 1, 1, 1, 0, 3, 0, 4, 3, 2, 1, 4, 3, 3, 1, 3, 2, 3, 2, 4, 0, 1, 0, 0, 0, 1, 3, 1, 1, 1, 0, 1, 4, 3, 2, 0, 1, 3, 2, 1, 0, 1, 2, 2, 4, 1, 2, 4, 0, 3, 3, 1, 1, 1, 0, 4, 3, 0, 4, 2, 0, 0, 2, 2, 4, 2, 4, 0, 1, 4, 1, 2, 2, 4, 2, 0, 3, 0, 3, 1, 4, 0, 4, 0, 3, 0, 3, 3, 1, 1, 2, 3, 0, 4, 1, 0, 4, 1, 3, 0, 2, 1, 4, 3, 1, 4, 4, 0, 1, 1, 1, 1, 4, 1, 0, 4, 0, 0, 2, 2, 3, 0, 2, 1, 2, 3, 0, 2, 4, 4, 3, 2, 1, 1, 2, 4, 0, 0, 0, 3, 0, 2, 3, 2, 1, 1, 2, 2, 4, 4, 3, 4, 4, 0, 4, 3, 0, 3, 3, 4, 3, 4, 1, 2, 2, 3, 0, 0, 3, 0, 3, 4, 0, 1, 3, 2, 4, 2, 2, 3, 1, 4, 1, 3, 1, 0, 2, 0, 1, 3, 3, 2, 2, 1, 4, 2, 3, 3, 3, 1, 4, 1, 4, 0, 4, 0, 0, 3, 4, 2, 3, 4, 0, 4, 2, 4, 2, 4, 0, 3, 1, 3, 3, 4, 4, 0, 4, 4, 2, 4, 1, 2, 2, 1, 4, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 4, 3, 0, 4, 2, 3, 1, 3, 3, 2, 1, 0, 2, 1, 2, 0, 4, 4, 3, 1, 0, 1, 0, 3, 3, 1, 2, 4, 0, 1, 1, 1, 2, 0, 3, 0, 3, 1, 4, 4, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 3, 1, 0, 3, 1, 2, 2, 4, 4, 3, 3, 1, 4, 2, 4, 3, 1, 1, 2, 0, 4, 3, 4, 0, 0, 4, 3, 3, 3, 3, 4, 2, 1, 4, 3, 1, 4, 0, 2, 2, 1, 4, 1, 4, 0, 0, 2, 0, 2, 3, 1, 0, 1, 4, 1, 1, 1, 2, 4, 0, 2, 3, 3, 2, 3, 2, 2, 2, 3, 1, 4, 4, 4, 1, 3, 1, 1, 2, 1, 2, 1, 3, 4, 0, 1, 2, 2, 4, 4, 3, 2, 0, 4, 0, 2, 2, 2, 2, 4, 0, 0, 0, 3, 0, 1, 2, 0, 2, 3, 4, 4, 1, 2, 1, 1, 4, 2, 2, 0, 0, 1, 4, 1, 1, 3, 4, 1, 1, 0, 2, 0, 4, 3, 2, 0, 3, 1, 2, 3, 4, 4, 2, 2, 2, 4, 0, 1, 1, 3, 0, 3, 0, 1, 2, 1, 4, 0, 2, 4, 3, 2, 0, 4, 4, 1, 1, 1, 2, 3, 3, 3, 0, 2, 3, 3, 0, 2, 3, 2, 3]
pubkeycol977 = [3, 0, 2, 4, 4, 4, 3, 3, 2, 0, 1, 0, 2, 4, 1, 2, 4, 0, 2, 2, 0, 0, 4, 0, 1, 3, 0, 1, 1, 1, 2, 0, 3, 0, 4, 2, 0, 4, 0, 0, 3, 1, 4, 2, 0, 4, 3, 2, 0, 0, 4, 0, 2, 2, 1, 2, 0, 0, 0, 0, 4, 2, 2, 1, 2, 3, 3, 4, 0, 3, 0, 1, 0, 3, 1, 1, 0, 0, 0, 2, 0, 4, 3, 1, 3, 2, 2, 2, 2, 0, 1, 2, 4, 4, 0, 3, 4, 1, 1, 0, 4, 1, 3, 3, 3, 4, 1, 2, 1, 1, 4, 4, 3, 3, 1, 2, 0, 1, 3, 3, 3, 4, 4, 0, 2, 4, 3, 0, 1, 4, 4, 1, 4, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 3, 2, 1, 0, 1, 3, 1, 2, 3, 2, 1, 4, 2, 0, 2, 1, 3, 3, 1, 3, 3, 1, 4, 0, 4, 3, 0, 1, 1, 2, 3, 4, 2, 3, 3, 3, 1, 3, 1, 1, 4, 4, 2, 3, 2, 1, 1, 4, 0, 3, 3, 3, 0, 2, 2, 2, 0, 3, 1, 2, 4, 2, 3, 0, 1, 1, 2, 0, 4, 1, 4, 0, 4, 4, 4, 1, 2, 1, 3, 4, 1, 4, 2, 1, 2, 2, 1, 3, 3, 0, 1, 4, 0, 4, 1, 2, 4, 3, 1, 3, 2, 4, 1, 2, 2, 3, 4, 1, 1, 2, 4, 1, 1, 2, 4, 3, 3, 4, 1, 0, 2, 0, 0, 2, 2, 2, 3, 3, 4, 2, 4, 1, 4, 3, 1, 3, 4, 4, 0, 4, 3, 3, 0, 4, 2, 4, 1, 0, 3, 4, 3, 2, 1, 1, 0, 0, 4, 4, 2, 1, 3, 3, 3, 3, 0, 3, 2, 2, 2, 1, 0, 1, 1, 2, 4, 3, 1, 4, 4, 3, 1, 1, 4, 1, 4, 3, 0, 3, 3, 0, 3, 3, 3, 4, 2, 4, 2, 1, 4, 4, 2, 1, 1, 2, 4, 3, 1, 0, 0, 3, 0, 1, 1, 3, 1, 1, 0, 1, 0, 2, 0, 4, 4, 3, 2, 3, 0, 2, 4, 3, 1, 1, 0, 2, 1, 1, 3, 1, 4, 4, 4, 0, 4, 4, 4, 1, 4, 3, 4, 2, 4, 3, 0, 1, 1, 2, 2, 3, 3, 3, 3, 0, 3, 4, 1, 1, 0, 3, 2, 4, 3, 2, 0, 1, 2, 1, 0, 1, 2, 4, 1, 4, 3, 1, 1, 2, 2, 1, 1, 4, 3, 3, 4, 3, 3, 2, 3, 3, 0, 3, 2, 4, 0, 3, 0, 2, 1, 0, 4, 0, 1, 2, 1, 3, 3, 0, 1, 3, 4, 1, 4, 2, 2, 4, 2, 4, 0, 4, 0, 3, 4, 1, 1, 0, 1, 0, 2, 1, 3, 4, 2, 0, 1, 3, 2, 3, 3, 1, 2, 1, 3, 0, 2, 3, 1, 2, 3, 1, 2, 0, 1, 1]
pubkeycol978 = [2, 0, 2, 2, 3, 0, 3, 0, 1, 0, 1, 3, 0, 3, 3, 1, 2, 4, 2, 4, 1, 2, 2, 4, 3, 0, 0, 3, 1, 0, 0, 2, 2, 2, 3, 2, 1, 3, 4, 0, 3, 2, 0, 0, 4, 4, 1, 3, 1, 2, 2, 1, 2, 1, 0, 1, 1, 4, 3, 4, 4, 2, 1, 4, 4, 3, 4, 0, 1, 2, 3, 3, 2, 4, 2, 0, 1, 2, 3, 3, 2, 2, 1, 4, 4, 1, 1, 3, 4, 0, 1, 0, 3, 1, 3, 1, 1, 4, 4, 3, 4, 1, 3, 2, 2, 2, 0, 0, 0, 1, 4, 0, 0, 0, 2, 2, 4, 1, 3, 4, 2, 0, 0, 1, 4, 2, 1, 0, 4, 4, 1, 4, 3, 0, 3, 2, 0, 0, 3, 2, 1, 1, 4, 0, 0, 2, 0, 2, 3, 1, 4, 1, 4, 2, 3, 4, 3, 3, 3, 0, 4, 4, 2, 3, 3, 0, 4, 4, 3, 1, 3, 3, 3, 1, 2, 4, 3, 1, 3, 2, 4, 1, 2, 3, 3, 1, 3, 1, 2, 1, 0, 0, 3, 0, 1, 3, 1, 3, 0, 1, 2, 4, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 3, 2, 1, 2, 0, 1, 3, 1, 4, 2, 3, 4, 0, 0, 0, 2, 3, 4, 1, 4, 2, 3, 0, 3, 3, 1, 2, 1, 0, 0, 0, 3, 3, 0, 4, 4, 0, 1, 2, 1, 1, 0, 1, 0, 4, 1, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 2, 4, 3, 0, 0, 3, 0, 1, 0, 0, 2, 1, 2, 4, 4, 0, 2, 3, 2, 1, 3, 1, 3, 2, 2, 1, 3, 1, 4, 2, 2, 0, 4, 0, 1, 0, 0, 0, 3, 4, 2, 4, 0, 4, 4, 2, 4, 1, 3, 2, 3, 1, 0, 3, 1, 2, 3, 2, 3, 4, 0, 0, 3, 2, 0, 4, 3, 3, 2, 4, 0, 0, 4, 4, 0, 3, 2, 0, 1, 4, 3, 0, 1, 1, 3, 3, 0, 4, 2, 3, 4, 2, 4, 2, 3, 2, 1, 4, 2, 0, 4, 2, 2, 1, 1, 3, 1, 1, 4, 3, 3, 1, 2, 0, 3, 1, 2, 0, 0, 2, 3, 1, 1, 0, 2, 2, 1, 2, 2, 3, 0, 2, 2, 0, 1, 2, 1, 4, 4, 4, 0, 4, 0, 2, 3, 2, 3, 4, 0, 4, 1, 2, 2, 2, 4, 1, 1, 2, 3, 1, 0, 0, 0, 0, 3, 1, 0, 1, 2, 0, 0, 0, 3, 0, 3, 0, 1, 2, 4, 4, 0, 3, 4, 4, 2, 2, 4, 3, 2, 0, 3, 3, 0, 0, 0, 3, 1, 3, 1, 1, 2, 3, 0, 2, 0, 3, 1, 3, 3, 4, 0, 0, 1, 3, 4, 1, 0, 2, 0, 0, 1, 0, 0, 3, 2, 3, 3, 4, 0, 0, 1, 1, 3, 2]
pubkeycol979 = [1, 1, 1, 0, 1, 1, 3, 0, 2, 0, 2, 2, 4, 1, 2, 2, 2, 4, 2, 0, 3, 2, 2, 2, 2, 2, 4, 0, 1, 4, 1, 3, 2, 4, 3, 4, 4, 2, 3, 4, 0, 1, 2, 3, 0, 3, 3, 4, 2, 2, 1, 3, 1, 4, 3, 2, 3, 0, 0, 4, 0, 4, 3, 4, 3, 1, 4, 3, 1, 4, 0, 4, 0, 4, 0, 3, 2, 4, 0, 3, 3, 2, 0, 2, 0, 3, 4, 4, 0, 0, 2, 4, 4, 3, 0, 3, 2, 4, 1, 3, 4, 4, 1, 1, 2, 4, 3, 4, 4, 0, 1, 4, 0, 4, 3, 1, 0, 2, 0, 3, 3, 3, 4, 1, 3, 3, 0, 2, 1, 3, 1, 2, 4, 3, 0, 1, 0, 1, 0, 3, 2, 2, 2, 1, 0, 4, 3, 2, 0, 1, 3, 3, 1, 0, 4, 3, 0, 3, 0, 0, 1, 2, 1, 0, 3, 2, 2, 2, 4, 2, 4, 4, 1, 1, 1, 0, 0, 3, 1, 3, 1, 0, 4, 0, 3, 1, 1, 3, 0, 4, 0, 3, 1, 4, 2, 4, 3, 4, 0, 4, 2, 3, 3, 4, 2, 3, 1, 0, 4, 4, 1, 2, 0, 0, 1, 2, 4, 0, 0, 0, 4, 2, 3, 0, 4, 1, 2, 4, 4, 2, 4, 0, 2, 2, 4, 0, 4, 4, 4, 4, 1, 2, 3, 2, 3, 2, 4, 4, 1, 4, 2, 3, 1, 0, 2, 2, 0, 3, 3, 0, 0, 2, 0, 2, 3, 2, 1, 4, 3, 1, 1, 4, 1, 4, 2, 1, 3, 4, 3, 4, 3, 4, 4, 3, 1, 3, 2, 4, 4, 0, 3, 4, 1, 0, 2, 1, 1, 4, 3, 4, 4, 3, 3, 4, 2, 1, 4, 4, 0, 2, 1, 3, 3, 4, 4, 1, 4, 1, 3, 4, 4, 0, 0, 1, 4, 3, 2, 0, 0, 3, 4, 1, 1, 1, 3, 4, 3, 0, 3, 2, 3, 2, 1, 2, 1, 2, 3, 2, 4, 3, 2, 4, 1, 0, 3, 4, 3, 1, 3, 1, 0, 4, 4, 1, 0, 2, 3, 3, 2, 1, 2, 2, 0, 2, 0, 0, 4, 3, 0, 4, 1, 0, 1, 3, 1, 1, 1, 0, 4, 0, 2, 4, 0, 3, 3, 2, 1, 1, 0, 4, 2, 0, 3, 3, 0, 3, 4, 0, 3, 3, 3, 3, 2, 3, 0, 0, 4, 0, 1, 3, 4, 4, 3, 4, 2, 2, 2, 0, 2, 1, 4, 3, 1, 1, 1, 1, 4, 1, 1, 3, 1, 4, 2, 0, 2, 1, 2, 0, 2, 4, 0, 4, 0, 3, 3, 0, 4, 2, 1, 1, 1, 4, 1, 4, 3, 3, 3, 0, 1, 0, 4, 1, 2, 4, 1, 0, 4, 0, 2, 3, 0, 0, 0, 4, 3, 1, 3, 2, 1, 1, 2, 4, 4, 4, 0, 4, 3, 1, 0, 0, 3, 2, 2, 0, 3]
pubkeycol980 = [0, 3, 3, 2, 2, 0, 4, 4, 3, 3, 1, 1, 1, 1, 3, 3, 3, 0, 3, 1, 3, 1, 0, 3, 1, 1, 4, 0, 2, 2, 1, 0, 3, 3, 3, 4, 2, 2, 4, 4, 3, 4, 1, 2, 0, 1, 3, 2, 0, 3, 3, 0, 4, 0, 2, 3, 3, 3, 2, 3, 0, 0, 1, 2, 0, 2, 1, 1, 1, 3, 0, 0, 1, 2, 4, 0, 1, 1, 0, 4, 2, 4, 0, 3, 1, 3, 1, 0, 3, 3, 2, 0, 3, 2, 3, 3, 1, 3, 3, 4, 2, 3, 1, 3, 4, 2, 4, 4, 3, 2, 3, 2, 0, 0, 0, 0, 2, 1, 1, 3, 2, 2, 2, 4, 3, 0, 3, 1, 1, 0, 2, 4, 0, 0, 4, 2, 1, 0, 3, 1, 0, 4, 2, 1, 3, 2, 1, 2, 4, 4, 3, 0, 0, 3, 1, 2, 4, 2, 3, 2, 3, 3, 3, 1, 0, 1, 3, 2, 4, 3, 1, 3, 2, 1, 3, 2, 4, 1, 2, 4, 2, 3, 2, 1, 1, 0, 0, 1, 1, 1, 2, 4, 4, 2, 1, 4, 2, 2, 4, 4, 0, 3, 2, 3, 3, 2, 4, 3, 1, 4, 3, 2, 2, 2, 3, 2, 3, 4, 4, 1, 2, 0, 1, 0, 1, 3, 0, 3, 3, 4, 1, 3, 0, 2, 4, 3, 1, 0, 3, 0, 3, 2, 4, 0, 1, 2, 4, 1, 4, 0, 3, 3, 2, 0, 4, 2, 3, 2, 3, 4, 2, 1, 4, 1, 1, 2, 3, 0, 3, 3, 2, 2, 3, 1, 3, 1, 1, 1, 3, 3, 0, 1, 2, 1, 4, 2, 2, 0, 2, 2, 2, 4, 0, 4, 0, 2, 0, 1, 2, 1, 4, 0, 1, 4, 2, 3, 0, 4, 2, 0, 2, 2, 4, 3, 4, 1, 3, 2, 2, 4, 2, 3, 4, 1, 3, 0, 3, 4, 0, 3, 0, 4, 1, 0, 2, 4, 4, 4, 3, 2, 2, 3, 0, 4, 0, 0, 3, 1, 4, 2, 1, 0, 0, 0, 4, 1, 3, 4, 4, 4, 3, 4, 2, 4, 4, 2, 0, 1, 1, 1, 4, 0, 4, 1, 3, 0, 1, 1, 3, 1, 4, 1, 2, 0, 0, 3, 0, 3, 0, 4, 0, 2, 4, 4, 3, 1, 4, 1, 4, 4, 2, 0, 0, 0, 1, 4, 1, 1, 1, 1, 4, 3, 2, 3, 3, 3, 3, 3, 1, 4, 2, 4, 4, 4, 1, 3, 4, 4, 1, 2, 3, 0, 3, 2, 0, 4, 0, 4, 1, 1, 0, 0, 3, 2, 2, 4, 1, 3, 2, 1, 0, 1, 4, 4, 1, 4, 4, 1, 0, 0, 1, 0, 4, 3, 0, 3, 2, 1, 0, 0, 4, 4, 2, 4, 1, 3, 2, 2, 1, 3, 2, 3, 3, 2, 3, 3, 4, 3, 2, 1, 1, 0, 4, 3, 4, 3, 1, 0, 3, 1, 0, 0, 1, 0, 2]
pubkeycol981 = [2, 2, 1, 3, 4, 2, 0, 2, 4, 2, 2, 3, 3, 2, 0, 1, 4, 0, 1, 3, 0, 2, 4, 3, 0, 2, 4, 0, 3, 1, 0, 2, 2, 1, 1, 0, 0, 0, 3, 4, 2, 4, 3, 3, 0, 1, 1, 0, 4, 3, 2, 1, 0, 0, 0, 2, 2, 1, 2, 3, 2, 3, 1, 2, 3, 3, 3, 3, 4, 2, 4, 4, 0, 3, 0, 3, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 3, 0, 1, 1, 4, 1, 2, 3, 2, 1, 2, 1, 2, 4, 3, 1, 1, 0, 4, 1, 2, 2, 1, 1, 1, 0, 0, 4, 1, 0, 1, 3, 4, 3, 2, 3, 3, 2, 2, 1, 4, 4, 3, 4, 2, 1, 1, 3, 3, 3, 3, 0, 2, 0, 1, 4, 1, 1, 1, 2, 1, 1, 4, 0, 3, 2, 1, 3, 3, 3, 1, 1, 2, 2, 2, 4, 1, 3, 2, 0, 4, 1, 2, 2, 0, 3, 1, 0, 4, 2, 4, 3, 2, 3, 2, 1, 4, 3, 0, 1, 4, 4, 4, 1, 4, 0, 2, 2, 2, 4, 3, 2, 1, 1, 4, 0, 0, 4, 3, 0, 4, 2, 4, 1, 2, 2, 0, 1, 2, 2, 3, 4, 0, 0, 3, 0, 3, 2, 4, 2, 0, 3, 3, 1, 1, 3, 2, 3, 0, 0, 3, 4, 2, 0, 0, 0, 4, 4, 2, 4, 0, 2, 2, 0, 0, 3, 0, 0, 1, 1, 0, 1, 0, 4, 0, 1, 3, 4, 0, 4, 2, 1, 0, 4, 0, 4, 3, 2, 3, 4, 0, 1, 3, 0, 1, 3, 0, 3, 3, 3, 4, 4, 1, 1, 0, 0, 1, 4, 2, 3, 4, 3, 0, 4, 4, 0, 1, 1, 0, 3, 1, 0, 2, 3, 0, 0, 4, 3, 0, 0, 0, 0, 2, 2, 2, 3, 2, 4, 4, 4, 0, 2, 3, 2, 1, 0, 1, 0, 4, 0, 4, 4, 2, 1, 2, 3, 4, 3, 2, 3, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 4, 2, 2, 0, 3, 0, 3, 0, 2, 3, 4, 3, 0, 0, 3, 0, 3, 0, 4, 0, 1, 2, 0, 3, 2, 1, 4, 3, 0, 3, 2, 4, 2, 4, 3, 4, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 3, 0, 4, 3, 2, 1, 4, 1, 4, 2, 0, 3, 1, 3, 3, 2, 3, 1, 3, 0, 3, 0, 1, 1, 2, 4, 0, 0, 0, 3, 0, 3, 2, 4, 3, 3, 2, 0, 2, 0, 0, 0, 1, 0, 4, 3, 4, 4, 4, 1, 0, 2, 0, 4, 1, 4, 3, 1, 4, 2, 3, 3, 0, 0, 1, 1, 3, 2, 1, 2, 1, 2, 4, 1, 4, 3, 1, 3, 0, 4, 0, 0, 2, 1, 3, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 4, 4, 2, 1, 2, 1]
pubkeycol982 = [1, 4, 2, 2, 3, 3, 3, 4, 2, 2, 1, 0, 3, 2, 3, 4, 2, 3, 2, 0, 3, 2, 2, 2, 3, 0, 1, 0, 1, 4, 4, 2, 4, 2, 3, 2, 1, 0, 1, 0, 4, 0, 4, 1, 3, 3, 3, 1, 3, 2, 1, 3, 0, 0, 2, 0, 4, 2, 1, 3, 0, 4, 1, 2, 1, 1, 0, 4, 4, 0, 0, 2, 4, 1, 3, 0, 4, 0, 1, 2, 1, 3, 1, 2, 2, 4, 2, 3, 2, 0, 2, 4, 2, 1, 2, 3, 4, 0, 4, 1, 0, 3, 0, 3, 1, 0, 4, 3, 3, 2, 3, 0, 0, 4, 2, 2, 2, 2, 2, 3, 3, 3, 0, 1, 3, 1, 1, 3, 2, 0, 3, 0, 4, 4, 2, 4, 3, 1, 3, 4, 1, 0, 2, 3, 0, 3, 1, 0, 1, 4, 1, 0, 1, 4, 0, 3, 0, 3, 1, 3, 3, 3, 0, 4, 4, 3, 4, 1, 2, 4, 4, 2, 1, 1, 0, 4, 4, 3, 0, 4, 1, 3, 4, 0, 3, 3, 4, 4, 0, 1, 3, 0, 2, 4, 3, 1, 2, 1, 0, 4, 3, 4, 1, 4, 0, 0, 3, 3, 2, 1, 3, 2, 3, 3, 4, 3, 2, 4, 4, 0, 4, 3, 0, 2, 0, 4, 2, 1, 4, 0, 3, 3, 2, 4, 0, 2, 4, 1, 1, 4, 4, 3, 3, 4, 1, 3, 3, 0, 2, 2, 0, 0, 4, 3, 1, 4, 0, 2, 0, 4, 2, 1, 2, 0, 0, 3, 1, 3, 1, 4, 1, 0, 2, 0, 4, 2, 2, 1, 4, 0, 0, 2, 4, 4, 2, 0, 4, 0, 2, 3, 0, 3, 0, 1, 2, 1, 0, 3, 4, 3, 1, 0, 4, 0, 1, 1, 0, 1, 0, 2, 2, 4, 4, 3, 0, 4, 1, 0, 1, 2, 3, 4, 4, 4, 0, 2, 2, 2, 4, 2, 2, 0, 3, 4, 3, 1, 2, 4, 0, 0, 3, 2, 1, 4, 0, 4, 4, 2, 1, 2, 3, 1, 4, 0, 1, 4, 2, 2, 0, 1, 2, 4, 2, 4, 4, 1, 4, 0, 1, 1, 1, 3, 2, 1, 2, 2, 4, 4, 2, 3, 2, 4, 0, 1, 4, 0, 1, 4, 0, 2, 1, 4, 2, 0, 0, 0, 1, 3, 2, 2, 3, 2, 0, 4, 3, 0, 1, 4, 2, 2, 2, 1, 3, 4, 0, 2, 0, 3, 0, 0, 2, 0, 0, 3, 2, 1, 3, 1, 4, 1, 3, 4, 1, 1, 2, 2, 4, 3, 4, 1, 2, 1, 0, 4, 3, 0, 1, 4, 3, 1, 4, 2, 1, 4, 4, 2, 1, 4, 4, 2, 4, 1, 0, 4, 4, 1, 3, 4, 1, 2, 1, 3, 2, 4, 3, 4, 3, 2, 0, 1, 3, 4, 0, 4, 0, 4, 2, 0, 4, 3, 2, 4, 1, 0, 3, 0, 1, 3, 2, 1, 3, 2, 1, 0, 2]
pubkeycol983 = [2, 1, 3, 0, 0, 2, 0, 0, 0, 3, 1, 2, 1, 3, 0, 2, 0, 0, 4, 0, 4, 2, 4, 3, 4, 4, 0, 4, 2, 4, 0, 2, 2, 2, 3, 2, 1, 0, 4, 0, 3, 3, 1, 4, 2, 1, 2, 0, 4, 4, 1, 4, 4, 1, 4, 0, 4, 0, 2, 2, 2, 2, 3, 1, 1, 4, 0, 4, 0, 3, 2, 2, 1, 4, 2, 4, 3, 4, 2, 4, 1, 1, 0, 1, 3, 0, 0, 0, 2, 3, 4, 4, 0, 2, 4, 1, 0, 1, 0, 0, 1, 0, 2, 0, 4, 4, 0, 2, 2, 3, 3, 1, 1, 2, 2, 1, 4, 1, 1, 1, 0, 2, 4, 4, 0, 3, 2, 3, 3, 1, 3, 1, 0, 1, 1, 1, 4, 3, 4, 2, 4, 0, 4, 2, 3, 4, 1, 0, 2, 0, 2, 0, 1, 1, 4, 4, 1, 3, 0, 4, 4, 4, 4, 3, 2, 3, 1, 2, 1, 2, 1, 0, 2, 1, 0, 4, 2, 2, 4, 4, 2, 4, 1, 4, 4, 1, 2, 4, 4, 2, 3, 4, 0, 2, 1, 1, 0, 2, 4, 2, 1, 0, 1, 3, 2, 0, 3, 3, 0, 3, 2, 0, 0, 3, 2, 4, 0, 2, 4, 1, 0, 3, 2, 1, 2, 0, 0, 1, 3, 4, 3, 3, 4, 1, 2, 1, 3, 4, 1, 4, 1, 1, 3, 1, 4, 3, 0, 4, 3, 1, 4, 4, 4, 4, 0, 1, 1, 2, 1, 4, 0, 2, 4, 3, 2, 4, 0, 3, 1, 3, 4, 0, 0, 3, 3, 3, 3, 2, 1, 4, 4, 3, 0, 4, 1, 3, 3, 4, 3, 3, 0, 3, 3, 2, 2, 3, 4, 1, 1, 3, 1, 4, 1, 0, 1, 4, 1, 1, 2, 3, 1, 1, 4, 0, 1, 3, 2, 3, 3, 0, 4, 0, 2, 1, 0, 2, 1, 1, 2, 3, 2, 1, 0, 0, 3, 2, 1, 3, 0, 1, 3, 0, 3, 0, 3, 2, 1, 2, 3, 3, 2, 2, 4, 3, 3, 0, 0, 0, 4, 3, 4, 2, 4, 1, 0, 0, 0, 0, 0, 2, 0, 4, 2, 1, 1, 4, 0, 3, 4, 4, 1, 4, 4, 4, 4, 3, 2, 3, 0, 1, 3, 4, 0, 0, 3, 4, 2, 0, 1, 3, 0, 4, 0, 0, 2, 4, 0, 3, 0, 4, 4, 3, 3, 4, 1, 0, 1, 4, 2, 3, 0, 0, 1, 0, 4, 4, 0, 4, 0, 0, 3, 1, 1, 4, 0, 4, 0, 4, 2, 3, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 3, 2, 4, 4, 4, 2, 3, 3, 1, 2, 1, 3, 0, 2, 4, 1, 2, 4, 0, 4, 1, 0, 0, 2, 0, 2, 4, 2, 0, 3, 4, 2, 0, 4, 0, 3, 1, 2, 4, 4, 2, 0, 1, 2, 2, 1, 4, 0, 2]
pubkeycol984 = [3, 0, 4, 2, 3, 4, 4, 3, 3, 0, 0, 2, 0, 1, 1, 2, 3, 4, 2, 0, 1, 4, 1, 2, 3, 3, 0, 4, 3, 2, 2, 3, 2, 3, 1, 0, 3, 4, 4, 0, 4, 0, 1, 3, 0, 4, 1, 1, 2, 3, 4, 2, 4, 4, 0, 0, 2, 0, 1, 4, 2, 1, 4, 0, 1, 2, 1, 0, 0, 4, 3, 0, 2, 1, 0, 1, 2, 2, 1, 4, 0, 2, 3, 0, 4, 2, 0, 3, 4, 2, 4, 3, 2, 4, 1, 4, 1, 3, 0, 0, 2, 3, 0, 0, 2, 0, 0, 3, 1, 4, 4, 4, 1, 0, 1, 3, 0, 2, 1, 2, 2, 0, 4, 2, 4, 1, 2, 2, 2, 4, 4, 1, 0, 4, 0, 3, 4, 3, 2, 1, 3, 0, 1, 0, 2, 1, 4, 0, 1, 1, 2, 2, 0, 1, 4, 4, 2, 0, 3, 4, 0, 3, 3, 3, 2, 4, 3, 1, 0, 2, 1, 3, 0, 3, 1, 0, 2, 2, 1, 0, 1, 1, 3, 4, 2, 4, 1, 0, 3, 1, 2, 0, 0, 0, 4, 0, 3, 4, 4, 3, 3, 3, 4, 2, 2, 0, 1, 0, 3, 4, 0, 0, 3, 2, 0, 0, 0, 3, 1, 1, 4, 0, 4, 0, 2, 2, 4, 1, 2, 1, 4, 2, 4, 0, 0, 3, 0, 0, 4, 4, 4, 1, 2, 3, 3, 2, 0, 4, 1, 2, 0, 1, 4, 2, 1, 3, 0, 2, 0, 2, 2, 2, 3, 1, 3, 2, 1, 2, 1, 3, 1, 2, 4, 4, 2, 3, 1, 3, 4, 1, 4, 0, 2, 0, 1, 4, 1, 3, 0, 1, 2, 3, 2, 4, 0, 2, 0, 4, 0, 2, 1, 0, 0, 1, 3, 3, 2, 3, 2, 2, 4, 1, 1, 0, 3, 4, 3, 1, 0, 4, 1, 1, 0, 1, 1, 4, 0, 4, 4, 1, 3, 0, 4, 0, 1, 1, 3, 2, 0, 3, 4, 4, 2, 2, 2, 4, 3, 1, 1, 4, 1, 1, 2, 1, 3, 2, 1, 0, 2, 4, 2, 2, 3, 4, 0, 0, 1, 2, 3, 3, 3, 3, 0, 1, 0, 4, 2, 3, 0, 0, 2, 3, 4, 1, 1, 0, 3, 4, 4, 2, 3, 3, 3, 3, 3, 1, 4, 0, 0, 0, 1, 2, 2, 4, 3, 4, 1, 1, 1, 3, 4, 3, 0, 2, 1, 4, 2, 3, 1, 1, 4, 1, 3, 4, 2, 4, 2, 3, 0, 1, 3, 2, 1, 4, 3, 1, 2, 0, 1, 3, 1, 0, 4, 4, 3, 4, 2, 4, 4, 0, 4, 4, 4, 3, 2, 3, 0, 1, 3, 2, 4, 4, 4, 1, 3, 1, 2, 1, 2, 3, 2, 1, 3, 1, 3, 4, 1, 3, 4, 0, 2, 3, 4, 2, 2, 0, 4, 0, 3, 4, 2, 3, 3, 0, 3, 3, 2, 1, 1, 4, 4, 2, 4, 3, 2]
pubkeycol985 = [0, 0, 1, 3, 4, 4, 4, 3, 0, 2, 0, 0, 0, 0, 4, 0, 4, 1, 3, 0, 0, 4, 2, 2, 2, 2, 1, 2, 4, 4, 3, 0, 4, 1, 0, 2, 1, 4, 0, 0, 0, 4, 0, 3, 2, 1, 4, 4, 0, 4, 1, 1, 3, 3, 0, 0, 3, 1, 3, 0, 0, 4, 1, 0, 2, 3, 4, 2, 2, 0, 4, 2, 3, 1, 4, 2, 3, 4, 0, 2, 4, 0, 2, 1, 0, 2, 1, 2, 1, 4, 2, 0, 1, 0, 3, 1, 4, 0, 0, 0, 1, 3, 3, 0, 1, 1, 2, 1, 1, 0, 2, 4, 1, 0, 4, 4, 1, 0, 2, 0, 2, 4, 4, 2, 0, 1, 3, 1, 1, 1, 2, 0, 1, 4, 1, 2, 3, 1, 3, 1, 4, 0, 3, 4, 2, 4, 3, 2, 0, 0, 3, 4, 2, 1, 2, 0, 2, 0, 0, 0, 1, 3, 3, 1, 2, 4, 0, 3, 0, 2, 2, 0, 1, 3, 0, 1, 4, 4, 3, 2, 4, 4, 3, 0, 3, 1, 0, 4, 3, 4, 1, 1, 0, 1, 1, 4, 3, 1, 1, 2, 1, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 4, 3, 0, 3, 3, 1, 1, 0, 3, 4, 3, 4, 4, 2, 2, 3, 0, 0, 2, 3, 4, 4, 4, 2, 0, 2, 2, 0, 3, 2, 2, 2, 3, 0, 1, 0, 3, 3, 4, 3, 0, 2, 1, 3, 1, 1, 3, 3, 0, 2, 2, 0, 1, 2, 3, 2, 1, 3, 3, 2, 1, 1, 4, 1, 2, 2, 3, 2, 4, 1, 1, 4, 2, 3, 0, 4, 2, 2, 1, 2, 4, 1, 2, 4, 1, 1, 2, 2, 4, 4, 1, 0, 4, 4, 1, 4, 3, 3, 2, 2, 2, 3, 2, 0, 0, 2, 3, 1, 1, 4, 3, 3, 3, 1, 3, 1, 0, 1, 1, 0, 4, 2, 0, 4, 3, 2, 3, 3, 1, 3, 0, 2, 4, 1, 1, 1, 0, 1, 2, 3, 2, 0, 2, 1, 4, 3, 0, 0, 1, 1, 4, 2, 2, 1, 1, 4, 2, 2, 4, 3, 0, 1, 0, 2, 4, 4, 0, 4, 1, 0, 2, 4, 0, 0, 3, 0, 2, 0, 0, 4, 1, 2, 1, 4, 0, 4, 0, 0, 3, 0, 1, 1, 2, 3, 2, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 4, 3, 3, 0, 2, 4, 3, 4, 4, 3, 2, 3, 0, 0, 3, 4, 3, 4, 2, 3, 0, 0, 4, 2, 2, 2, 0, 3, 1, 0, 1, 4, 4, 0, 4, 2, 0, 2, 2, 3, 2, 3, 4, 0, 0, 2, 3, 0, 3, 0, 3, 3, 3, 2, 2, 3, 4, 3, 3, 4, 4, 3, 0, 2, 4, 3, 0, 0, 3, 4, 3, 1, 2, 0, 0, 2, 3, 4]
pubkeycol986 = [2, 1, 4, 4, 3, 2, 4, 4, 1, 4, 3, 4, 4, 2, 0, 0, 2, 4, 3, 3, 0, 0, 0, 3, 0, 3, 3, 1, 2, 3, 0, 4, 4, 1, 3, 2, 0, 3, 3, 0, 4, 0, 4, 2, 2, 4, 2, 2, 0, 4, 4, 1, 3, 0, 2, 2, 0, 4, 1, 4, 2, 1, 1, 1, 4, 3, 1, 2, 4, 2, 3, 0, 3, 3, 2, 1, 4, 2, 0, 1, 1, 1, 2, 3, 1, 4, 1, 3, 2, 3, 3, 4, 4, 0, 2, 1, 0, 4, 2, 0, 2, 0, 3, 1, 1, 4, 2, 3, 1, 3, 1, 2, 4, 1, 3, 3, 3, 3, 3, 1, 2, 4, 0, 4, 1, 3, 3, 2, 4, 2, 2, 2, 3, 2, 1, 3, 3, 1, 3, 4, 1, 4, 3, 1, 0, 1, 4, 1, 0, 4, 1, 2, 3, 4, 2, 1, 0, 0, 3, 3, 4, 3, 1, 3, 3, 2, 0, 0, 3, 2, 1, 1, 0, 1, 1, 0, 3, 2, 4, 4, 0, 0, 3, 3, 4, 3, 3, 4, 1, 0, 1, 1, 3, 1, 0, 3, 3, 4, 0, 3, 2, 4, 4, 4, 0, 1, 2, 0, 0, 1, 2, 2, 2, 3, 1, 0, 4, 1, 0, 4, 2, 2, 4, 0, 3, 4, 1, 1, 4, 0, 3, 3, 2, 1, 3, 2, 3, 3, 1, 3, 1, 3, 1, 2, 1, 4, 3, 3, 3, 2, 1, 4, 1, 4, 4, 4, 3, 1, 3, 0, 4, 2, 2, 1, 1, 3, 2, 3, 0, 2, 0, 1, 2, 1, 3, 0, 3, 0, 0, 1, 4, 4, 3, 4, 2, 4, 2, 1, 4, 0, 1, 4, 1, 4, 2, 4, 4, 4, 2, 0, 3, 2, 0, 0, 1, 3, 1, 0, 2, 4, 1, 2, 2, 3, 0, 2, 1, 4, 1, 0, 3, 4, 2, 2, 4, 4, 4, 2, 1, 3, 3, 0, 0, 2, 3, 0, 0, 0, 1, 0, 4, 4, 2, 1, 3, 4, 4, 3, 1, 0, 2, 2, 4, 0, 1, 0, 2, 1, 4, 1, 1, 2, 4, 0, 0, 1, 1, 3, 3, 4, 1, 4, 2, 0, 4, 0, 1, 1, 3, 0, 2, 3, 0, 3, 2, 4, 2, 4, 1, 1, 4, 4, 0, 0, 3, 2, 4, 3, 3, 2, 2, 1, 3, 1, 4, 1, 1, 0, 1, 3, 3, 3, 3, 2, 2, 0, 3, 2, 4, 4, 0, 2, 4, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 4, 0, 4, 3, 3, 1, 2, 3, 3, 0, 0, 4, 2, 0, 2, 0, 4, 4, 4, 1, 3, 4, 4, 1, 1, 2, 3, 2, 2, 3, 0, 2, 1, 1, 2, 2, 4, 3, 1, 0, 3, 3, 1, 0, 2, 0, 4, 2, 0, 4, 2, 4, 2, 2, 4, 0, 4, 1, 2, 0, 1, 4, 4, 2, 2, 3, 1, 4, 3, 3, 2, 0]
pubkeycol987 = [4, 4, 0, 1, 4, 4, 3, 0, 0, 1, 1, 4, 4, 3, 0, 3, 3, 1, 3, 4, 1, 0, 2, 1, 3, 2, 3, 2, 1, 4, 2, 2, 3, 1, 0, 4, 0, 0, 4, 3, 2, 1, 4, 0, 2, 1, 2, 0, 3, 0, 1, 0, 4, 0, 4, 1, 4, 3, 4, 0, 1, 0, 3, 0, 1, 4, 4, 1, 4, 1, 0, 4, 4, 4, 0, 1, 1, 2, 0, 3, 3, 0, 2, 4, 4, 2, 2, 3, 0, 0, 0, 1, 1, 1, 3, 0, 2, 0, 1, 3, 4, 1, 4, 1, 2, 1, 3, 4, 3, 2, 2, 4, 4, 2, 4, 2, 2, 0, 3, 3, 4, 1, 2, 3, 4, 1, 0, 0, 2, 4, 2, 0, 0, 1, 2, 4, 4, 4, 1, 4, 3, 0, 0, 2, 3, 3, 4, 3, 3, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 4, 4, 4, 3, 3, 1, 1, 3, 1, 2, 0, 2, 2, 3, 4, 4, 1, 0, 4, 0, 2, 1, 1, 4, 4, 0, 3, 1, 3, 1, 4, 0, 3, 3, 0, 3, 3, 3, 4, 0, 4, 4, 0, 3, 0, 1, 0, 2, 1, 3, 1, 0, 1, 0, 4, 2, 0, 2, 2, 1, 0, 4, 3, 2, 4, 3, 2, 4, 4, 0, 4, 4, 2, 0, 4, 3, 1, 4, 4, 2, 3, 4, 0, 3, 2, 0, 1, 4, 4, 3, 1, 4, 1, 2, 0, 1, 3, 1, 3, 4, 4, 3, 4, 4, 3, 2, 4, 2, 2, 3, 4, 3, 1, 0, 3, 2, 1, 2, 2, 0, 4, 3, 1, 4, 4, 3, 0, 2, 0, 0, 2, 1, 3, 2, 3, 0, 1, 3, 4, 2, 1, 0, 0, 4, 4, 1, 1, 3, 4, 3, 1, 2, 4, 0, 0, 3, 1, 4, 1, 0, 0, 3, 3, 2, 0, 4, 4, 4, 2, 1, 1, 2, 4, 4, 0, 3, 3, 0, 4, 3, 4, 3, 2, 1, 1, 2, 0, 2, 3, 0, 3, 3, 4, 3, 3, 3, 0, 1, 4, 1, 1, 2, 2, 1, 1, 4, 3, 4, 3, 0, 4, 0, 4, 0, 4, 4, 3, 4, 0, 2, 0, 4, 0, 3, 0, 2, 3, 1, 3, 0, 2, 1, 4, 0, 2, 2, 4, 1, 2, 1, 2, 2, 2, 3, 4, 4, 0, 0, 2, 4, 4, 4, 0, 1, 1, 4, 4, 1, 2, 2, 1, 1, 3, 3, 2, 1, 1, 1, 2, 4, 2, 3, 2, 2, 3, 2, 4, 2, 1, 3, 0, 1, 0, 4, 2, 1, 1, 1, 3, 0, 4, 2, 0, 1, 0, 3, 4, 1, 1, 2, 3, 4, 0, 4, 4, 2, 2, 3, 2, 4, 3, 3, 0, 2, 2, 0, 2, 2, 1, 3, 2, 3, 4, 4, 0, 4, 0, 2, 1, 0, 1, 3, 1, 1, 2, 1, 2, 2, 3, 4, 3, 1, 2, 1, 2, 0]
pubkeycol988 = [0, 0, 0, 2, 3, 0, 1, 0, 4, 2, 1, 2, 1, 4, 1, 3, 2, 4, 2, 4, 0, 4, 0, 4, 3, 4, 1, 1, 1, 4, 1, 1, 1, 4, 0, 0, 2, 3, 0, 0, 1, 3, 4, 2, 2, 0, 1, 4, 3, 1, 2, 2, 3, 3, 4, 2, 1, 2, 2, 0, 2, 3, 1, 0, 1, 2, 1, 3, 0, 0, 1, 0, 1, 3, 3, 1, 4, 2, 4, 2, 0, 2, 3, 4, 2, 1, 4, 2, 4, 3, 4, 4, 0, 2, 2, 1, 3, 4, 1, 4, 3, 3, 2, 2, 4, 3, 0, 1, 0, 1, 1, 1, 4, 2, 1, 2, 3, 4, 1, 0, 1, 1, 3, 3, 0, 4, 1, 2, 4, 1, 4, 1, 3, 1, 2, 0, 2, 3, 1, 2, 3, 2, 2, 2, 2, 1, 0, 2, 2, 1, 4, 0, 1, 2, 1, 2, 2, 0, 3, 2, 3, 1, 0, 1, 3, 0, 1, 0, 3, 2, 3, 3, 0, 3, 2, 3, 4, 4, 3, 4, 3, 1, 0, 1, 0, 4, 1, 2, 3, 0, 0, 3, 0, 1, 3, 4, 3, 1, 2, 3, 2, 4, 1, 0, 2, 0, 3, 2, 2, 2, 3, 4, 0, 4, 0, 0, 0, 3, 4, 4, 4, 0, 0, 4, 0, 3, 2, 0, 4, 1, 3, 3, 4, 4, 4, 4, 1, 4, 3, 0, 2, 0, 2, 3, 4, 0, 0, 2, 0, 1, 3, 3, 4, 2, 2, 1, 4, 3, 1, 3, 1, 2, 0, 1, 3, 1, 2, 3, 1, 3, 1, 0, 1, 3, 3, 1, 4, 0, 4, 3, 1, 0, 4, 1, 4, 2, 4, 2, 2, 1, 0, 4, 1, 4, 2, 1, 3, 4, 0, 3, 3, 3, 4, 0, 4, 3, 0, 2, 1, 2, 4, 0, 4, 4, 0, 2, 0, 0, 1, 2, 0, 4, 2, 3, 3, 2, 3, 4, 3, 4, 1, 4, 3, 1, 0, 4, 1, 2, 2, 2, 3, 1, 3, 0, 4, 4, 3, 1, 3, 4, 1, 4, 3, 1, 4, 0, 2, 1, 3, 4, 1, 1, 3, 3, 1, 4, 0, 2, 2, 3, 4, 0, 0, 0, 3, 1, 2, 1, 0, 4, 4, 3, 0, 4, 4, 4, 0, 4, 0, 1, 4, 0, 4, 3, 4, 0, 4, 0, 2, 1, 2, 2, 2, 4, 4, 1, 2, 0, 0, 0, 2, 2, 2, 0, 3, 3, 3, 3, 4, 3, 1, 4, 4, 3, 2, 3, 2, 1, 3, 1, 1, 1, 4, 2, 4, 1, 4, 4, 0, 1, 0, 2, 4, 0, 2, 0, 3, 4, 4, 0, 1, 3, 0, 0, 1, 0, 3, 3, 0, 0, 0, 0, 1, 3, 1, 0, 3, 0, 3, 3, 4, 1, 0, 1, 3, 0, 4, 0, 4, 3, 0, 1, 3, 2, 4, 1, 3, 2, 2, 3, 3, 3, 0, 0, 2, 1, 1, 0, 0, 4, 0, 4, 4, 4, 1]
pubkeycol989 = [3, 2, 2, 1, 0, 1, 2, 1, 2, 4, 4, 0, 4, 1, 3, 2, 3, 0, 3, 0, 3, 1, 3, 0, 2, 2, 0, 1, 4, 3, 2, 2, 2, 4, 4, 3, 4, 3, 4, 2, 2, 3, 2, 1, 2, 2, 3, 3, 3, 2, 4, 1, 0, 2, 0, 4, 3, 3, 1, 1, 1, 4, 4, 2, 2, 4, 2, 4, 3, 2, 4, 4, 3, 2, 2, 3, 0, 2, 3, 3, 4, 1, 2, 3, 0, 3, 3, 0, 4, 4, 3, 0, 1, 0, 2, 1, 1, 3, 1, 3, 2, 1, 3, 4, 0, 1, 4, 1, 0, 1, 4, 1, 2, 1, 2, 3, 4, 0, 0, 2, 1, 3, 3, 1, 4, 2, 2, 4, 1, 0, 2, 4, 4, 4, 3, 4, 1, 4, 4, 1, 1, 1, 2, 3, 2, 1, 1, 2, 0, 2, 2, 0, 1, 3, 0, 2, 0, 1, 1, 0, 4, 1, 3, 3, 3, 0, 0, 1, 3, 0, 0, 0, 4, 2, 2, 0, 0, 1, 4, 2, 1, 4, 0, 0, 4, 0, 4, 3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 1, 4, 0, 2, 0, 3, 1, 0, 4, 0, 4, 3, 1, 4, 2, 1, 3, 0, 1, 1, 1, 2, 1, 1, 0, 4, 3, 4, 0, 1, 1, 3, 0, 2, 0, 1, 2, 2, 2, 1, 4, 1, 3, 2, 4, 3, 1, 2, 2, 1, 1, 3, 3, 4, 0, 1, 2, 4, 1, 0, 3, 0, 3, 4, 0, 4, 4, 4, 0, 0, 4, 3, 4, 1, 2, 3, 1, 1, 1, 0, 0, 1, 2, 1, 2, 4, 4, 3, 1, 0, 2, 3, 1, 4, 2, 1, 4, 3, 2, 3, 1, 1, 1, 1, 4, 2, 3, 0, 2, 1, 0, 0, 4, 0, 3, 3, 1, 3, 1, 1, 3, 1, 2, 4, 3, 1, 2, 2, 2, 1, 2, 3, 2, 4, 1, 4, 3, 2, 4, 3, 0, 4, 0, 0, 1, 3, 2, 3, 0, 4, 4, 0, 2, 3, 1, 2, 4, 4, 2, 0, 4, 3, 1, 0, 0, 4, 3, 3, 4, 4, 2, 4, 4, 0, 4, 4, 2, 4, 1, 4, 1, 3, 2, 4, 0, 0, 0, 4, 0, 1, 0, 0, 3, 3, 2, 3, 0, 3, 4, 3, 3, 0, 4, 2, 2, 1, 0, 0, 3, 0, 4, 4, 2, 0, 2, 2, 1, 4, 0, 0, 2, 1, 1, 3, 1, 2, 0, 0, 3, 1, 3, 0, 2, 4, 4, 1, 0, 0, 4, 2, 3, 3, 2, 1, 4, 2, 4, 0, 4, 1, 4, 3, 3, 1, 4, 1, 0, 4, 3, 1, 1, 4, 4, 1, 4, 1, 4, 1, 0, 3, 0, 1, 2, 4, 1, 2, 0, 3, 3, 4, 4, 2, 2, 1, 0, 4, 3, 2, 4, 2, 1, 2, 1, 1, 2, 1, 1, 3, 3, 0, 0, 3, 3, 4, 0, 0, 3, 0]
pubkeycol990 = [3, 4, 2, 1, 1, 3, 4, 3, 2, 4, 3, 2, 4, 4, 4, 3, 2, 1, 3, 3, 0, 4, 2, 3, 2, 0, 1, 3, 2, 1, 4, 1, 1, 4, 2, 4, 3, 2, 4, 3, 1, 3, 2, 2, 4, 0, 3, 3, 2, 1, 3, 3, 1, 3, 1, 3, 3, 0, 0, 0, 0, 4, 1, 4, 0, 2, 4, 4, 1, 1, 0, 3, 3, 2, 0, 3, 3, 2, 0, 3, 4, 2, 4, 1, 4, 0, 0, 0, 0, 2, 0, 3, 1, 1, 0, 3, 1, 3, 0, 4, 0, 1, 3, 0, 0, 3, 3, 3, 4, 2, 0, 3, 0, 2, 4, 3, 4, 0, 0, 0, 2, 2, 4, 3, 4, 4, 0, 3, 3, 1, 3, 0, 1, 0, 3, 4, 0, 1, 4, 4, 0, 1, 1, 4, 2, 0, 0, 1, 3, 3, 0, 4, 3, 4, 4, 0, 4, 1, 3, 2, 4, 3, 0, 3, 0, 3, 2, 2, 3, 2, 4, 2, 3, 2, 4, 1, 2, 3, 1, 0, 2, 2, 4, 0, 4, 3, 0, 0, 2, 3, 1, 0, 0, 1, 0, 1, 3, 2, 4, 3, 2, 1, 2, 3, 1, 0, 1, 0, 0, 2, 1, 0, 2, 3, 2, 1, 3, 0, 4, 2, 4, 3, 4, 4, 4, 2, 2, 2, 0, 1, 2, 0, 0, 3, 0, 2, 3, 0, 1, 2, 1, 1, 0, 2, 2, 2, 4, 4, 3, 1, 1, 0, 1, 2, 3, 4, 1, 1, 1, 1, 1, 1, 4, 3, 4, 0, 0, 0, 3, 2, 1, 1, 4, 4, 2, 0, 0, 2, 4, 4, 3, 2, 1, 0, 0, 1, 4, 0, 1, 1, 1, 0, 0, 0, 2, 3, 3, 3, 0, 2, 3, 0, 2, 4, 3, 3, 4, 3, 2, 4, 3, 2, 1, 2, 1, 1, 3, 4, 1, 0, 1, 0, 4, 4, 4, 1, 2, 1, 2, 2, 2, 0, 0, 3, 2, 2, 1, 0, 4, 4, 3, 2, 0, 1, 3, 2, 0, 1, 2, 2, 0, 4, 3, 0, 2, 4, 2, 4, 2, 3, 2, 4, 1, 4, 3, 3, 4, 1, 3, 1, 4, 2, 2, 0, 0, 4, 0, 3, 3, 3, 1, 3, 1, 3, 1, 0, 0, 4, 2, 4, 0, 0, 2, 0, 3, 0, 0, 3, 2, 4, 4, 4, 2, 2, 4, 2, 2, 2, 3, 3, 4, 3, 3, 1, 4, 1, 3, 3, 1, 3, 3, 4, 3, 4, 3, 4, 3, 1, 0, 1, 0, 3, 4, 0, 4, 3, 0, 4, 2, 0, 2, 3, 2, 1, 1, 3, 2, 0, 1, 0, 3, 1, 2, 0, 4, 2, 4, 4, 0, 4, 2, 3, 3, 3, 4, 0, 3, 3, 1, 2, 1, 3, 2, 1, 4, 3, 4, 2, 3, 2, 0, 4, 3, 0, 1, 0, 1, 4, 3, 3, 1, 1, 1, 4, 2, 3, 3, 4, 2, 0, 2, 1, 1, 1, 0]
pubkeycol991 = [2, 0, 3, 1, 4, 2, 0, 2, 1, 4, 4, 2, 3, 2, 3, 1, 3, 2, 3, 3, 4, 0, 4, 0, 2, 3, 2, 0, 0, 1, 2, 1, 1, 1, 0, 4, 0, 3, 2, 0, 0, 1, 3, 4, 1, 2, 0, 3, 4, 3, 1, 4, 4, 1, 1, 2, 4, 2, 0, 1, 3, 2, 3, 3, 4, 1, 0, 1, 3, 2, 1, 4, 3, 4, 0, 3, 4, 1, 0, 4, 1, 2, 2, 3, 3, 0, 0, 4, 1, 0, 4, 0, 2, 1, 3, 1, 2, 4, 2, 0, 0, 0, 4, 3, 3, 4, 1, 2, 4, 3, 4, 2, 3, 2, 1, 1, 2, 3, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 4, 2, 2, 0, 0, 3, 0, 4, 3, 1, 2, 2, 4, 1, 3, 1, 3, 1, 3, 0, 2, 3, 2, 1, 3, 3, 2, 0, 1, 4, 3, 2, 3, 4, 0, 4, 1, 4, 3, 2, 2, 1, 3, 0, 2, 4, 2, 1, 1, 2, 0, 3, 2, 1, 3, 2, 2, 2, 0, 0, 0, 3, 1, 2, 4, 4, 1, 3, 3, 4, 0, 2, 3, 3, 1, 4, 1, 4, 3, 3, 3, 4, 3, 0, 1, 3, 3, 1, 4, 1, 0, 2, 2, 4, 2, 3, 4, 3, 3, 4, 0, 0, 1, 0, 2, 1, 0, 0, 0, 4, 0, 1, 2, 1, 2, 1, 0, 0, 3, 1, 0, 0, 0, 1, 3, 3, 3, 3, 3, 2, 1, 4, 4, 1, 3, 1, 1, 1, 3, 4, 1, 4, 4, 4, 4, 0, 4, 4, 1, 2, 4, 2, 1, 3, 0, 0, 3, 2, 0, 0, 0, 1, 4, 4, 3, 0, 2, 4, 0, 0, 1, 1, 3, 2, 0, 1, 3, 1, 4, 4, 2, 2, 0, 0, 0, 4, 3, 3, 3, 3, 0, 1, 4, 3, 0, 1, 1, 3, 2, 3, 0, 2, 1, 3, 3, 4, 4, 4, 3, 2, 3, 0, 3, 1, 2, 0, 4, 2, 4, 0, 0, 4, 0, 2, 4, 2, 2, 2, 0, 1, 0, 2, 4, 4, 0, 0, 0, 2, 0, 2, 4, 4, 1, 4, 0, 2, 0, 1, 3, 3, 3, 2, 2, 0, 0, 3, 2, 2, 1, 2, 4, 3, 1, 0, 3, 0, 3, 3, 4, 4, 3, 1, 2, 4, 2, 3, 4, 0, 2, 3, 4, 1, 4, 1, 3, 3, 0, 1, 4, 3, 0, 0, 1, 2, 4, 4, 2, 4, 3, 0, 1, 2, 1, 2, 4, 4, 2, 0, 1, 3, 3, 4, 2, 2, 1, 4, 1, 1, 3, 0, 3, 2, 3, 0, 4, 3, 3, 0, 2, 1, 4, 1, 0, 3, 2, 1, 2, 2, 2, 4, 4, 1, 1, 3, 1, 3, 4, 4, 4, 3, 2, 4, 3, 4, 4, 3, 3, 2, 0, 2, 4, 2, 1, 0, 4, 1, 1, 1, 3, 4, 0, 0, 2, 3]
pubkeycol992 = [2, 4, 4, 3, 3, 4, 0, 0, 4, 4, 4, 2, 2, 1, 3, 0, 4, 2, 3, 0, 2, 2, 4, 0, 2, 2, 0, 3, 4, 0, 0, 4, 2, 4, 0, 0, 1, 4, 0, 2, 0, 0, 1, 0, 0, 3, 0, 0, 1, 2, 3, 2, 2, 4, 2, 4, 4, 3, 3, 2, 2, 1, 2, 2, 0, 0, 1, 0, 3, 4, 3, 0, 3, 4, 3, 0, 3, 3, 2, 4, 3, 1, 0, 0, 1, 0, 1, 0, 1, 4, 3, 0, 1, 3, 0, 0, 3, 4, 0, 2, 1, 0, 0, 4, 1, 3, 1, 2, 0, 0, 0, 2, 3, 3, 4, 1, 4, 3, 1, 4, 1, 4, 1, 3, 0, 2, 3, 4, 4, 1, 2, 4, 0, 1, 1, 4, 2, 3, 1, 4, 3, 3, 4, 0, 0, 3, 0, 3, 0, 0, 3, 0, 1, 2, 3, 1, 4, 1, 2, 2, 3, 1, 4, 2, 4, 1, 1, 0, 3, 3, 0, 2, 2, 1, 4, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 3, 4, 0, 2, 2, 3, 0, 4, 2, 3, 1, 3, 3, 3, 3, 3, 0, 4, 4, 1, 2, 4, 4, 2, 4, 1, 4, 4, 2, 3, 4, 1, 2, 2, 3, 4, 0, 2, 4, 0, 3, 4, 1, 0, 3, 1, 3, 1, 1, 4, 4, 2, 3, 0, 0, 2, 4, 2, 1, 1, 0, 2, 0, 1, 3, 2, 1, 0, 3, 2, 4, 2, 0, 3, 3, 1, 3, 2, 3, 0, 0, 2, 0, 3, 3, 3, 1, 3, 0, 3, 3, 4, 0, 2, 3, 2, 3, 0, 1, 3, 3, 4, 2, 3, 3, 0, 4, 2, 4, 3, 3, 0, 1, 1, 1, 3, 4, 1, 3, 0, 4, 0, 1, 2, 3, 1, 4, 3, 2, 3, 2, 3, 0, 0, 1, 0, 4, 2, 0, 1, 2, 3, 3, 1, 4, 0, 1, 0, 4, 1, 3, 2, 1, 1, 4, 3, 3, 4, 0, 4, 2, 2, 2, 0, 3, 2, 0, 4, 3, 0, 2, 1, 1, 1, 1, 4, 2, 0, 4, 2, 4, 4, 2, 3, 0, 2, 0, 4, 0, 1, 1, 0, 1, 4, 0, 3, 4, 4, 4, 1, 2, 1, 4, 4, 3, 0, 4, 4, 3, 2, 4, 0, 4, 0, 3, 2, 4, 4, 3, 0, 3, 3, 2, 1, 3, 3, 4, 4, 0, 3, 3, 1, 3, 3, 1, 0, 1, 3, 1, 4, 0, 4, 3, 3, 0, 1, 1, 1, 4, 0, 2, 2, 0, 3, 3, 4, 0, 4, 1, 2, 4, 0, 0, 4, 2, 4, 3, 2, 3, 3, 0, 1, 0, 2, 3, 0, 1, 4, 3, 4, 1, 2, 4, 3, 1, 4, 3, 1, 4, 1, 1, 1, 0, 2, 3, 1, 0, 1, 0, 0, 4, 0, 1, 4, 0, 3, 3, 1, 1, 0, 3, 2, 4, 0, 1, 2, 2, 1, 4]
pubkeycol993 = [2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 3, 4, 3, 0, 0, 1, 1, 4, 1, 4, 3, 2, 3, 3, 4, 4, 1, 4, 1, 2, 1, 4, 4, 4, 2, 4, 3, 3, 1, 0, 4, 3, 1, 0, 3, 3, 0, 3, 1, 4, 3, 3, 2, 1, 2, 3, 1, 4, 3, 4, 0, 3, 4, 0, 3, 4, 2, 3, 4, 3, 3, 1, 2, 0, 4, 3, 3, 3, 0, 2, 2, 4, 4, 1, 2, 1, 1, 1, 4, 3, 0, 3, 0, 3, 1, 0, 2, 0, 3, 0, 4, 2, 3, 3, 1, 2, 3, 4, 3, 0, 1, 2, 2, 2, 0, 0, 2, 3, 1, 4, 0, 1, 0, 3, 1, 3, 3, 1, 2, 2, 3, 2, 4, 1, 3, 3, 3, 4, 1, 2, 0, 0, 2, 0, 4, 0, 1, 0, 3, 1, 0, 1, 1, 4, 0, 0, 2, 3, 1, 4, 3, 2, 2, 4, 1, 3, 3, 4, 0, 1, 4, 4, 3, 1, 0, 2, 0, 2, 0, 1, 1, 3, 3, 3, 1, 0, 0, 1, 3, 0, 3, 1, 4, 3, 0, 4, 2, 1, 0, 2, 1, 0, 3, 0, 3, 4, 4, 3, 2, 3, 1, 0, 3, 2, 1, 4, 2, 4, 0, 3, 2, 3, 4, 4, 0, 2, 2, 0, 2, 2, 4, 3, 3, 1, 1, 3, 4, 1, 2, 2, 1, 0, 1, 1, 1, 3, 2, 3, 2, 1, 3, 0, 0, 4, 3, 1, 2, 1, 2, 4, 1, 1, 2, 0, 0, 4, 0, 3, 3, 3, 4, 1, 0, 2, 1, 3, 0, 0, 3, 2, 3, 2, 3, 3, 4, 4, 0, 2, 0, 3, 0, 0, 0, 4, 2, 1, 0, 0, 4, 3, 3, 1, 3, 4, 2, 2, 3, 0, 0, 1, 4, 1, 3, 0, 0, 4, 1, 1, 4, 2, 4, 2, 3, 4, 4, 1, 3, 0, 2, 1, 1, 4, 3, 1, 0, 4, 0, 3, 0, 2, 0, 1, 3, 2, 3, 0, 2, 1, 1, 4, 2, 3, 3, 0, 4, 0, 4, 0, 1, 4, 2, 1, 0, 1, 4, 3, 1, 0, 3, 2, 1, 1, 1, 3, 3, 1, 0, 1, 3, 1, 2, 1, 2, 1, 1, 2, 2, 3, 2, 0, 0, 0, 1, 0, 2, 3, 1, 2, 2, 3, 0, 0, 4, 0, 4, 3, 0, 0, 0, 1, 2, 3, 0, 0, 1, 2, 4, 3, 3, 0, 2, 1, 2, 1, 3, 1, 3, 3, 4, 0, 1, 4, 4, 0, 3, 3, 0, 0, 1, 2, 0, 3, 3, 3, 1, 3, 3, 4, 1, 3, 1, 4, 2, 1, 0, 2, 4, 3, 0, 2, 3, 1, 3, 2, 3, 0, 4, 0, 1, 0, 4, 3, 1, 4, 3, 1, 0, 2, 2, 2, 1, 0, 3, 4, 3, 0, 3, 3, 0, 0, 2, 1, 2, 1, 1, 1, 3, 2, 2, 0, 0]
pubkeycol994 = [3, 1, 2, 4, 3, 1, 3, 0, 0, 1, 4, 2, 4, 1, 3, 0, 4, 0, 1, 4, 1, 1, 0, 2, 3, 4, 3, 4, 1, 3, 2, 1, 1, 4, 2, 2, 4, 2, 0, 1, 4, 3, 4, 4, 3, 2, 1, 0, 1, 1, 0, 0, 1, 3, 3, 1, 4, 0, 3, 0, 4, 4, 1, 2, 1, 0, 0, 1, 3, 3, 0, 1, 2, 4, 4, 4, 2, 3, 4, 4, 2, 0, 3, 4, 1, 3, 2, 2, 0, 2, 4, 2, 2, 4, 4, 4, 2, 0, 0, 3, 4, 1, 0, 3, 0, 1, 0, 1, 1, 3, 0, 3, 4, 1, 4, 0, 2, 4, 2, 1, 2, 0, 3, 0, 1, 3, 3, 1, 0, 3, 4, 1, 0, 4, 2, 4, 3, 3, 0, 2, 0, 4, 0, 2, 2, 0, 3, 1, 2, 0, 3, 3, 4, 0, 4, 2, 0, 4, 1, 3, 3, 4, 4, 4, 3, 1, 1, 1, 3, 4, 2, 2, 0, 2, 0, 0, 1, 1, 4, 3, 3, 2, 4, 0, 2, 3, 1, 4, 4, 0, 1, 4, 1, 3, 4, 3, 2, 3, 0, 3, 2, 2, 2, 0, 4, 3, 2, 3, 2, 4, 0, 4, 2, 3, 1, 1, 4, 3, 2, 1, 4, 2, 0, 1, 2, 2, 3, 0, 0, 1, 0, 4, 4, 3, 2, 2, 1, 0, 1, 2, 2, 4, 4, 4, 4, 4, 1, 2, 1, 2, 0, 0, 1, 4, 3, 3, 1, 1, 4, 3, 2, 4, 2, 4, 2, 1, 1, 0, 0, 3, 4, 1, 1, 2, 0, 2, 3, 1, 3, 4, 0, 2, 4, 0, 0, 4, 3, 2, 2, 2, 4, 3, 1, 0, 1, 3, 1, 0, 4, 0, 4, 4, 2, 1, 1, 2, 3, 4, 2, 3, 1, 0, 3, 0, 3, 1, 4, 3, 2, 4, 3, 2, 1, 0, 0, 1, 0, 2, 2, 3, 0, 3, 0, 1, 1, 2, 2, 1, 0, 3, 1, 1, 2, 0, 2, 1, 3, 3, 4, 4, 3, 1, 0, 3, 4, 3, 0, 2, 4, 1, 3, 0, 0, 0, 0, 1, 3, 2, 0, 1, 1, 3, 0, 0, 3, 3, 3, 4, 2, 2, 0, 3, 0, 3, 0, 3, 0, 4, 1, 0, 2, 2, 4, 2, 3, 4, 3, 4, 3, 1, 4, 4, 3, 2, 2, 3, 1, 4, 4, 2, 3, 2, 0, 4, 1, 1, 4, 1, 4, 1, 2, 1, 4, 0, 0, 4, 1, 0, 2, 3, 2, 4, 1, 2, 0, 3, 2, 0, 1, 1, 1, 2, 4, 1, 2, 4, 4, 2, 3, 0, 2, 0, 0, 2, 0, 4, 4, 1, 4, 2, 1, 0, 3, 3, 4, 3, 4, 3, 1, 4, 1, 4, 4, 0, 4, 4, 4, 0, 1, 4, 1, 3, 4, 3, 1, 2, 3, 1, 3, 3, 0, 2, 1, 1, 3, 2, 3, 0, 3, 0, 4, 4, 4, 0, 0]
pubkeycol995 = [3, 3, 3, 1, 3, 1, 3, 4, 4, 3, 4, 4, 2, 2, 1, 3, 2, 2, 2, 3, 2, 1, 0, 4, 4, 2, 3, 0, 1, 3, 2, 3, 4, 2, 0, 4, 4, 0, 3, 4, 1, 2, 2, 4, 2, 1, 2, 4, 2, 1, 1, 2, 1, 2, 0, 1, 1, 3, 0, 2, 4, 3, 2, 2, 4, 1, 2, 2, 2, 3, 3, 1, 4, 0, 1, 4, 1, 2, 1, 0, 3, 2, 2, 4, 2, 3, 0, 3, 1, 4, 4, 4, 4, 0, 0, 3, 1, 4, 3, 4, 1, 2, 1, 1, 3, 0, 1, 4, 3, 4, 0, 1, 4, 1, 3, 4, 1, 4, 1, 3, 0, 0, 4, 2, 1, 3, 0, 4, 4, 3, 0, 1, 0, 1, 2, 3, 1, 1, 3, 4, 2, 2, 4, 0, 4, 4, 2, 2, 2, 0, 4, 3, 1, 4, 3, 0, 2, 1, 1, 3, 1, 0, 0, 2, 2, 4, 1, 0, 0, 2, 4, 0, 2, 0, 4, 1, 4, 1, 1, 4, 4, 2, 1, 0, 1, 1, 3, 0, 1, 3, 2, 1, 4, 3, 1, 3, 0, 0, 2, 1, 1, 3, 3, 1, 2, 1, 4, 3, 3, 2, 0, 3, 0, 3, 3, 3, 1, 4, 3, 0, 4, 1, 2, 0, 1, 3, 1, 4, 2, 4, 4, 4, 2, 3, 1, 2, 2, 1, 0, 1, 2, 4, 4, 4, 0, 4, 3, 2, 2, 2, 3, 0, 1, 1, 2, 4, 1, 0, 0, 4, 2, 3, 1, 0, 1, 3, 2, 0, 3, 4, 2, 1, 4, 1, 1, 4, 0, 2, 4, 2, 0, 1, 0, 0, 4, 1, 4, 1, 0, 2, 3, 1, 4, 1, 0, 1, 0, 0, 3, 3, 0, 4, 3, 1, 0, 2, 1, 0, 2, 0, 1, 4, 1, 4, 2, 2, 0, 1, 1, 1, 3, 0, 3, 0, 2, 0, 4, 0, 1, 1, 4, 4, 1, 2, 0, 3, 3, 4, 3, 0, 0, 0, 2, 2, 2, 1, 4, 0, 3, 4, 1, 4, 4, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 3, 2, 3, 2, 3, 3, 2, 1, 2, 3, 1, 1, 4, 4, 4, 0, 1, 3, 1, 4, 2, 4, 4, 0, 3, 3, 0, 2, 2, 0, 0, 1, 4, 1, 3, 0, 1, 2, 0, 1, 1, 4, 0, 0, 0, 2, 1, 1, 0, 2, 4, 2, 4, 4, 2, 0, 1, 4, 4, 4, 4, 0, 4, 2, 1, 0, 3, 4, 3, 4, 4, 3, 0, 2, 4, 1, 1, 3, 3, 1, 0, 0, 3, 0, 1, 3, 1, 2, 2, 1, 4, 2, 4, 1, 2, 0, 2, 3, 3, 1, 2, 2, 1, 2, 2, 3, 0, 0, 0, 1, 1, 2, 0, 1, 3, 2, 0, 3, 2, 4, 1, 3, 2, 2, 4, 2, 3, 0, 1, 1, 4, 2, 1, 4, 0, 3, 3, 4, 3, 3, 2]
pubkeycol996 = [0, 3, 1, 0, 0, 2, 4, 2, 4, 3, 2, 0, 1, 4, 3, 1, 1, 2, 1, 1, 1, 0, 4, 1, 1, 4, 1, 0, 0, 3, 4, 0, 4, 0, 2, 0, 0, 0, 1, 3, 1, 2, 2, 1, 2, 1, 0, 1, 4, 1, 3, 4, 3, 4, 2, 1, 4, 0, 1, 1, 1, 2, 1, 1, 1, 1, 3, 2, 4, 3, 0, 0, 1, 4, 1, 1, 4, 4, 4, 4, 0, 0, 0, 3, 1, 3, 4, 3, 1, 1, 4, 2, 3, 2, 4, 0, 4, 2, 4, 3, 1, 2, 4, 2, 4, 0, 3, 2, 4, 3, 3, 3, 4, 4, 2, 1, 4, 3, 1, 3, 3, 3, 0, 4, 3, 3, 2, 3, 2, 1, 2, 4, 2, 0, 3, 0, 3, 2, 2, 3, 3, 0, 0, 4, 1, 1, 1, 0, 2, 3, 0, 2, 4, 1, 3, 4, 1, 1, 3, 1, 2, 0, 2, 3, 3, 4, 3, 0, 0, 1, 3, 0, 1, 3, 0, 3, 4, 1, 4, 2, 2, 0, 3, 2, 3, 0, 0, 0, 3, 1, 3, 0, 2, 4, 0, 3, 1, 0, 0, 0, 4, 1, 0, 3, 1, 0, 4, 3, 4, 1, 4, 1, 0, 2, 1, 4, 2, 0, 4, 4, 4, 0, 3, 0, 4, 0, 4, 0, 1, 2, 4, 3, 3, 1, 2, 0, 2, 4, 1, 1, 3, 1, 4, 2, 3, 0, 4, 0, 0, 4, 3, 1, 1, 1, 2, 0, 1, 3, 0, 3, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 4, 2, 1, 0, 3, 4, 3, 3, 1, 2, 2, 2, 1, 1, 1, 3, 3, 0, 1, 1, 2, 3, 0, 2, 4, 3, 3, 4, 1, 0, 0, 1, 4, 4, 1, 3, 3, 4, 0, 4, 2, 1, 2, 0, 3, 1, 0, 2, 1, 0, 2, 2, 1, 3, 0, 0, 3, 4, 4, 2, 4, 0, 1, 2, 1, 0, 3, 2, 4, 0, 4, 0, 3, 1, 0, 3, 2, 1, 2, 1, 4, 2, 0, 2, 4, 0, 3, 4, 0, 4, 3, 2, 1, 4, 4, 1, 1, 2, 3, 4, 4, 4, 2, 3, 3, 4, 0, 2, 4, 0, 3, 3, 1, 2, 4, 3, 0, 2, 3, 1, 3, 2, 2, 4, 0, 4, 4, 1, 2, 2, 0, 2, 4, 3, 0, 0, 2, 1, 0, 0, 4, 2, 0, 0, 3, 2, 3, 0, 2, 0, 1, 2, 2, 3, 2, 3, 4, 4, 1, 1, 4, 0, 0, 4, 2, 2, 2, 0, 3, 1, 2, 1, 1, 3, 0, 0, 2, 4, 3, 4, 0, 4, 2, 3, 2, 3, 2, 4, 0, 0, 0, 2, 1, 4, 3, 2, 1, 3, 1, 2, 2, 1, 0, 2, 4, 3, 0, 2, 4, 2, 0, 1, 3, 2, 2, 3, 0, 1, 4, 3, 4, 3, 1, 4, 4, 0, 1, 0, 0, 3, 4, 1, 3, 3, 3]
pubkeycol997 = [2, 3, 1, 0, 2, 2, 2, 0, 4, 3, 0, 3, 1, 4, 2, 2, 4, 2, 1, 3, 1, 3, 1, 4, 3, 4, 0, 4, 3, 1, 2, 4, 3, 2, 2, 3, 0, 2, 4, 1, 4, 4, 1, 1, 2, 4, 0, 3, 2, 4, 4, 4, 1, 0, 0, 1, 2, 0, 3, 2, 3, 4, 3, 2, 2, 0, 0, 4, 2, 4, 3, 1, 3, 4, 4, 2, 3, 0, 4, 2, 1, 4, 4, 2, 3, 3, 2, 4, 4, 0, 3, 0, 4, 2, 4, 1, 3, 2, 3, 3, 0, 2, 0, 4, 0, 2, 1, 4, 1, 0, 3, 3, 0, 1, 4, 3, 0, 4, 3, 2, 0, 1, 4, 4, 4, 0, 0, 2, 0, 3, 2, 4, 3, 2, 3, 4, 2, 2, 4, 3, 3, 2, 2, 4, 2, 1, 3, 1, 2, 0, 0, 3, 4, 1, 4, 3, 2, 1, 3, 1, 0, 4, 0, 2, 0, 4, 0, 0, 4, 1, 0, 1, 3, 4, 0, 4, 0, 0, 0, 1, 0, 1, 4, 4, 3, 0, 0, 1, 1, 0, 1, 4, 0, 4, 4, 4, 0, 3, 3, 2, 1, 0, 3, 0, 0, 2, 1, 4, 0, 4, 3, 1, 4, 2, 0, 1, 2, 3, 2, 4, 1, 3, 4, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 4, 4, 0, 2, 2, 0, 3, 3, 3, 0, 1, 0, 0, 4, 2, 2, 3, 4, 2, 0, 3, 3, 3, 4, 0, 0, 3, 4, 2, 0, 1, 4, 3, 1, 0, 3, 4, 0, 0, 3, 2, 2, 4, 2, 1, 3, 3, 3, 0, 3, 0, 3, 2, 3, 4, 1, 1, 3, 3, 0, 0, 3, 4, 3, 0, 0, 0, 1, 2, 4, 2, 4, 3, 1, 1, 1, 0, 2, 0, 4, 0, 1, 3, 3, 3, 1, 0, 4, 3, 0, 0, 1, 1, 4, 0, 1, 0, 4, 3, 0, 0, 2, 0, 1, 3, 4, 2, 2, 3, 4, 0, 1, 1, 0, 3, 1, 3, 4, 2, 3, 2, 3, 2, 0, 4, 0, 4, 0, 4, 4, 2, 2, 2, 0, 4, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 3, 3, 3, 4, 0, 2, 2, 2, 4, 0, 4, 2, 2, 3, 1, 3, 1, 4, 4, 3, 1, 1, 3, 0, 1, 1, 2, 0, 1, 4, 4, 3, 0, 2, 4, 3, 4, 2, 1, 2, 1, 4, 0, 2, 2, 3, 1, 4, 1, 4, 0, 4, 4, 2, 0, 1, 2, 4, 4, 1, 3, 4, 0, 3, 3, 0, 2, 0, 3, 3, 0, 2, 4, 3, 4, 3, 3, 4, 4, 1, 4, 0, 1, 2, 3, 1, 1, 3, 0, 2, 3, 0, 3, 1, 0, 1, 3, 2, 4, 3, 0, 1, 0, 0, 3, 0, 2, 0, 2, 1, 4, 4, 0, 1, 3, 3, 1, 3, 1, 3, 2, 2, 4, 3, 2, 0, 0]
pubkeycol998 = [2, 4, 0, 2, 4, 2, 2, 4, 1, 3, 1, 4, 0, 4, 2, 0, 2, 3, 1, 0, 3, 4, 2, 0, 0, 0, 2, 1, 1, 2, 3, 3, 1, 4, 3, 4, 1, 4, 0, 2, 4, 0, 1, 0, 2, 1, 1, 4, 0, 2, 4, 1, 4, 1, 4, 4, 1, 0, 1, 2, 0, 3, 4, 2, 3, 0, 4, 4, 2, 2, 4, 0, 4, 4, 0, 3, 1, 2, 4, 3, 1, 1, 3, 0, 3, 0, 2, 2, 2, 3, 4, 2, 3, 1, 2, 4, 1, 0, 2, 1, 3, 1, 2, 1, 4, 0, 2, 1, 3, 0, 2, 4, 1, 0, 4, 4, 3, 4, 2, 2, 3, 2, 1, 4, 4, 1, 4, 1, 4, 1, 4, 4, 4, 1, 2, 4, 0, 0, 2, 1, 3, 0, 0, 2, 3, 1, 1, 2, 3, 4, 0, 3, 0, 4, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 3, 0, 1, 3, 0, 3, 1, 3, 4, 4, 2, 2, 3, 4, 3, 3, 2, 4, 4, 2, 4, 3, 2, 0, 3, 4, 1, 2, 0, 0, 4, 0, 3, 3, 0, 4, 2, 4, 1, 0, 4, 1, 2, 3, 1, 4, 1, 3, 1, 4, 0, 3, 1, 3, 3, 1, 3, 0, 0, 0, 1, 0, 4, 1, 1, 2, 4, 0, 0, 1, 2, 3, 1, 4, 0, 4, 2, 3, 4, 3, 4, 0, 3, 1, 1, 2, 4, 3, 1, 4, 2, 1, 4, 0, 0, 4, 0, 2, 1, 2, 0, 4, 4, 2, 4, 4, 4, 4, 4, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 4, 2, 0, 4, 0, 0, 3, 3, 3, 1, 1, 2, 0, 3, 3, 4, 1, 4, 4, 4, 0, 1, 1, 3, 3, 1, 1, 1, 0, 3, 0, 4, 1, 2, 0, 1, 2, 1, 4, 4, 2, 2, 1, 4, 4, 0, 2, 0, 2, 3, 4, 1, 3, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 3, 3, 4, 4, 3, 0, 4, 2, 3, 0, 4, 4, 0, 3, 3, 4, 3, 2, 2, 3, 3, 1, 1, 0, 4, 2, 1, 0, 4, 0, 2, 0, 4, 0, 0, 2, 4, 2, 0, 3, 1, 1, 3, 0, 2, 4, 2, 3, 1, 3, 0, 4, 4, 3, 2, 2, 0, 1, 3, 4, 2, 3, 0, 4, 1, 3, 2, 4, 0, 4, 1, 2, 4, 0, 1, 3, 0, 2, 3, 0, 4, 3, 4, 4, 2, 4, 2, 2, 1, 1, 0, 1, 0, 0, 4, 0, 3, 1, 1, 2, 0, 3, 2, 0, 0, 3, 1, 4, 4, 1, 2, 4, 4, 2, 2, 0, 3, 4, 0, 2, 2, 4, 2, 4, 3, 1, 4, 0, 3, 1, 4, 3, 1, 3, 0, 0, 4, 3, 1, 3, 2, 4, 2, 4, 0, 1, 1, 3, 4, 3, 3, 0, 3, 0, 3, 1]
pubkeycol999 = [4, 3, 4, 1, 4, 4, 4, 4, 1, 2, 3, 1, 2, 1, 4, 0, 3, 2, 2, 1, 0, 4, 4, 2, 4, 0, 3, 1, 2, 2, 2, 4, 2, 1, 4, 1, 4, 0, 2, 4, 4, 0, 0, 3, 4, 0, 0, 2, 3, 4, 2, 1, 2, 3, 4, 4, 2, 2, 1, 2, 3, 3, 2, 3, 4, 4, 1, 4, 3, 2, 0, 0, 2, 4, 1, 3, 0, 0, 4, 0, 0, 4, 3, 3, 2, 1, 4, 0, 1, 3, 3, 2, 2, 1, 0, 2, 3, 4, 0, 1, 1, 3, 1, 2, 2, 1, 4, 1, 0, 4, 4, 2, 3, 3, 2, 0, 4, 2, 0, 3, 3, 4, 1, 2, 4, 0, 2, 4, 1, 4, 1, 1, 1, 3, 3, 1, 2, 4, 0, 3, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 4, 4, 4, 0, 4, 4, 3, 0, 3, 3, 0, 3, 1, 0, 4, 2, 0, 3, 0, 3, 0, 0, 2, 3, 4, 0, 1, 1, 2, 2, 4, 3, 1, 2, 4, 3, 4, 4, 3, 2, 0, 4, 2, 3, 1, 0, 3, 1, 1, 1, 1, 3, 3, 2, 0, 1, 3, 4, 1, 0, 0, 2, 1, 3, 4, 0, 2, 3, 4, 3, 3, 1, 2, 2, 2, 0, 2, 2, 0, 2, 3, 2, 1, 3, 3, 3, 1, 1, 0, 0, 1, 2, 2, 3, 1, 2, 4, 1, 4, 2, 0, 3, 0, 0, 3, 0, 4, 1, 4, 3, 4, 0, 3, 3, 4, 0, 1, 4, 3, 1, 2, 2, 0, 1, 2, 0, 2, 4, 1, 3, 2, 0, 1, 3, 1, 2, 4, 0, 0, 2, 4, 3, 3, 0, 2, 2, 4, 4, 0, 2, 3, 2, 0, 4, 3, 1, 4, 2, 4, 1, 3, 0, 0, 2, 4, 1, 1, 3, 4, 1, 4, 4, 0, 1, 1, 0, 1, 3, 3, 3, 4, 2, 1, 4, 3, 0, 2, 1, 4, 0, 3, 2, 3, 2, 2, 4, 3, 4, 0, 4, 3, 4, 4, 1, 0, 3, 0, 2, 4, 2, 1, 3, 0, 1, 3, 0, 0, 3, 3, 0, 3, 3, 1, 2, 1, 2, 2, 2, 1, 1, 3, 1, 1, 3, 2, 1, 4, 3, 2, 2, 2, 2, 3, 4, 4, 0, 1, 2, 4, 3, 3, 1, 2, 3, 4, 3, 1, 1, 2, 2, 2, 3, 4, 2, 3, 3, 3, 3, 4, 0, 2, 3, 0, 4, 4, 2, 3, 4, 3, 3, 2, 1, 2, 4, 0, 4, 0, 1, 4, 3, 3, 1, 4, 2, 4, 2, 2, 0, 1, 1, 0, 3, 3, 3, 0, 3, 2, 1, 2, 4, 1, 0, 4, 2, 2, 1, 4, 2, 3, 2, 0, 0, 1, 0, 0, 1, 4, 4, 3, 1, 2, 2, 2, 1, 4, 4, 2, 4, 2, 3, 3, 3, 3, 0, 1, 1, 4, 1, 3, 0, 3, 3, 2, 3]
pubkeycol1000 = [2, 0, 0, 0, 0, 0, 4, 1, 4, 0, 2, 0, 2, 0, 4, 4, 2, 0, 2, 3, 2, 2, 3, 4, 1, 2, 0, 0, 2, 3, 3, 4, 0, 1, 1, 1, 1, 0, 3, 4, 3, 2, 0, 4, 0, 3, 4, 1, 4, 0, 1, 3, 4, 0, 1, 1, 2, 1, 2, 1, 4, 4, 3, 4, 0, 4, 3, 4, 4, 0, 2, 1, 4, 4, 1, 0, 0, 3, 0, 3, 1, 1, 0, 0, 3, 2, 0, 3, 2, 3, 1, 1, 2, 1, 3, 3, 2, 0, 2, 2, 4, 2, 2, 4, 2, 4, 2, 0, 4, 2, 1, 1, 2, 2, 1, 3, 3, 1, 1, 1, 1, 3, 4, 3, 3, 3, 4, 2, 3, 2, 0, 1, 1, 2, 3, 3, 4, 2, 1, 3, 4, 2, 1, 2, 2, 3, 3, 0, 4, 0, 2, 2, 3, 0, 3, 4, 1, 4, 4, 1, 4, 4, 0, 3, 1, 2, 0, 0, 1, 3, 1, 0, 3, 1, 2, 3, 2, 2, 3, 3, 4, 1, 2, 0, 3, 3, 3, 2, 3, 3, 0, 2, 3, 1, 4, 0, 3, 1, 3, 2, 1, 0, 0, 2, 3, 0, 0, 2, 1, 3, 0, 2, 0, 0, 3, 3, 0, 4, 2, 4, 4, 2, 1, 4, 4, 3, 3, 3, 4, 0, 3, 4, 2, 4, 3, 1, 3, 1, 4, 3, 2, 1, 3, 2, 0, 3, 3, 4, 1, 3, 1, 1, 2, 1, 1, 2, 3, 3, 4, 4, 2, 2, 1, 4, 4, 0, 4, 4, 2, 0, 3, 4, 0, 4, 1, 3, 0, 2, 2, 3, 0, 4, 3, 3, 2, 4, 2, 0, 2, 0, 3, 0, 1, 0, 4, 1, 4, 0, 1, 2, 2, 0, 2, 2, 2, 3, 1, 0, 1, 4, 4, 2, 1, 0, 1, 4, 2, 0, 1, 0, 2, 3, 4, 4, 2, 3, 4, 4, 1, 0, 4, 1, 4, 4, 4, 1, 3, 3, 0, 4, 1, 3, 1, 3, 1, 1, 0, 1, 0, 1, 3, 3, 4, 3, 4, 1, 2, 0, 3, 3, 4, 4, 2, 2, 0, 0, 4, 2, 4, 4, 3, 4, 2, 0, 1, 2, 3, 0, 3, 0, 0, 2, 3, 3, 2, 3, 4, 0, 3, 4, 0, 4, 1, 1, 2, 1, 1, 4, 2, 3, 0, 0, 2, 2, 3, 1, 3, 3, 1, 4, 4, 3, 0, 2, 0, 4, 4, 1, 2, 1, 3, 2, 4, 4, 3, 0, 4, 3, 0, 4, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 3, 1, 2, 2, 3, 4, 4, 3, 1, 3, 1, 3, 0, 2, 0, 1, 3, 1, 1, 2, 4, 2, 0, 2, 1, 0, 2, 4, 2, 3, 4, 0, 1, 2, 2, 3, 0, 4, 4, 0, 0, 4, 2, 3, 1, 1, 2, 4, 2, 0, 4, 0, 1, 0, 2, 2, 0, 4, 3, 2, 2, 0, 4, 3]
pubkeycol1001 = [2, 2, 4, 1, 1, 4, 1, 2, 4, 4, 4, 1, 3, 3, 3, 3, 0, 0, 3, 1, 4, 3, 1, 3, 2, 0, 1, 3, 3, 1, 2, 3, 1, 2, 2, 2, 3, 3, 2, 0, 0, 0, 4, 0, 0, 4, 1, 0, 1, 4, 0, 3, 2, 4, 2, 2, 4, 4, 1, 2, 0, 1, 3, 2, 1, 1, 3, 1, 0, 3, 2, 0, 4, 0, 0, 2, 3, 0, 4, 1, 1, 2, 2, 1, 2, 4, 2, 2, 3, 0, 3, 4, 1, 4, 2, 3, 2, 4, 0, 4, 1, 0, 1, 4, 1, 3, 4, 2, 1, 2, 2, 3, 3, 2, 2, 1, 1, 2, 4, 2, 0, 2, 0, 3, 3, 0, 2, 2, 4, 2, 0, 4, 2, 1, 0, 1, 1, 2, 1, 4, 4, 2, 0, 1, 3, 3, 4, 2, 4, 3, 4, 2, 1, 2, 4, 3, 3, 1, 2, 4, 4, 4, 4, 3, 2, 1, 4, 1, 1, 0, 0, 3, 0, 0, 4, 1, 2, 2, 4, 0, 0, 2, 1, 2, 2, 0, 0, 3, 0, 2, 1, 4, 0, 2, 3, 3, 2, 3, 2, 1, 2, 3, 0, 0, 1, 1, 4, 2, 2, 1, 3, 1, 0, 1, 4, 0, 1, 0, 3, 2, 2, 2, 1, 2, 0, 2, 2, 4, 3, 1, 4, 3, 0, 1, 0, 2, 1, 1, 1, 0, 2, 3, 0, 2, 2, 0, 0, 0, 1, 1, 0, 3, 3, 2, 0, 4, 2, 4, 1, 1, 4, 2, 3, 0, 1, 2, 0, 3, 3, 0, 3, 1, 2, 0, 1, 1, 2, 1, 3, 0, 0, 2, 3, 1, 2, 1, 4, 3, 4, 0, 2, 1, 2, 1, 4, 3, 3, 4, 1, 1, 2, 4, 1, 1, 2, 4, 1, 1, 2, 2, 3, 3, 1, 2, 2, 0, 0, 1, 0, 4, 4, 3, 0, 0, 1, 2, 2, 2, 4, 0, 2, 1, 0, 3, 1, 3, 1, 0, 1, 1, 3, 3, 3, 2, 2, 4, 4, 0, 0, 1, 4, 3, 2, 2, 0, 4, 1, 3, 1, 1, 1, 4, 0, 1, 4, 1, 4, 2, 4, 3, 2, 2, 0, 3, 3, 2, 4, 2, 0, 3, 1, 3, 0, 0, 0, 1, 0, 1, 0, 3, 3, 2, 4, 0, 2, 3, 3, 1, 0, 3, 1, 1, 2, 1, 1, 4, 1, 0, 3, 3, 2, 1, 3, 3, 2, 2, 2, 2, 2, 1, 1, 2, 2, 4, 2, 0, 0, 1, 1, 4, 2, 2, 0, 2, 3, 4, 3, 3, 3, 3, 1, 4, 4, 2, 3, 3, 1, 4, 0, 0, 4, 4, 1, 3, 1, 4, 2, 2, 0, 3, 1, 4, 1, 4, 0, 1, 3, 1, 3, 1, 0, 1, 0, 3, 2, 3, 4, 0, 1, 3, 3, 1, 4, 4, 0, 4, 2, 3, 1, 3, 1, 1, 3, 3, 0, 2, 4, 0, 4, 4, 3, 0, 4, 4, 4]
pubkeycol1002 = [0, 0, 4, 2, 2, 2, 3, 3, 0, 1, 3, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 4, 0, 3, 4, 3, 3, 4, 3, 2, 2, 1, 3, 1, 2, 1, 0, 4, 4, 1, 0, 4, 1, 2, 4, 3, 4, 1, 2, 1, 0, 2, 2, 0, 1, 0, 3, 2, 2, 4, 2, 0, 1, 0, 4, 3, 3, 1, 2, 1, 3, 4, 0, 0, 1, 3, 3, 3, 1, 4, 3, 0, 2, 4, 1, 0, 1, 4, 0, 1, 4, 0, 4, 4, 2, 0, 2, 1, 1, 3, 0, 1, 0, 0, 0, 4, 3, 3, 1, 4, 4, 0, 3, 4, 4, 0, 0, 2, 0, 1, 4, 4, 2, 1, 2, 4, 4, 4, 2, 3, 0, 1, 0, 3, 0, 1, 1, 4, 1, 0, 2, 3, 3, 2, 4, 0, 4, 4, 3, 0, 1, 4, 0, 0, 1, 1, 4, 3, 1, 0, 2, 2, 3, 1, 2, 0, 0, 4, 1, 1, 3, 0, 3, 1, 2, 1, 1, 0, 2, 2, 2, 3, 0, 2, 4, 0, 1, 0, 0, 4, 2, 3, 4, 4, 1, 4, 1, 2, 2, 0, 4, 2, 2, 0, 1, 3, 0, 4, 1, 4, 4, 4, 3, 0, 3, 1, 4, 1, 2, 0, 2, 2, 3, 0, 4, 0, 1, 4, 1, 4, 2, 3, 1, 2, 2, 4, 1, 3, 2, 2, 1, 2, 3, 0, 0, 4, 0, 1, 4, 1, 2, 3, 1, 2, 2, 0, 3, 4, 0, 2, 4, 2, 2, 3, 0, 0, 0, 4, 1, 1, 2, 4, 3, 3, 2, 1, 2, 3, 3, 4, 3, 3, 2, 2, 3, 3, 2, 0, 1, 2, 1, 3, 0, 3, 1, 0, 3, 4, 0, 2, 1, 4, 4, 2, 4, 0, 2, 1, 0, 3, 1, 0, 1, 1, 4, 2, 3, 1, 4, 1, 0, 3, 0, 3, 2, 3, 4, 4, 1, 2, 0, 0, 3, 2, 4, 4, 0, 4, 2, 3, 2, 4, 4, 1, 0, 0, 3, 0, 4, 2, 3, 1, 4, 0, 4, 4, 1, 1, 2, 1, 0, 3, 3, 1, 1, 1, 0, 0, 0, 4, 2, 0, 4, 4, 2, 3, 1, 0, 3, 0, 4, 0, 0, 1, 0, 3, 3, 2, 2, 0, 0, 0, 3, 2, 3, 1, 1, 4, 3, 1, 2, 3, 2, 0, 1, 1, 4, 2, 1, 4, 3, 2, 2, 3, 3, 0, 1, 0, 0, 4, 0, 1, 3, 3, 0, 0, 4, 0, 3, 1, 4, 1, 4, 1, 0, 1, 0, 2, 4, 1, 0, 3, 0, 4, 4, 4, 0, 2, 1, 4, 2, 1, 4, 2, 0, 0, 2, 0, 4, 4, 2, 0, 3, 2, 2, 3, 4, 2, 1, 2, 2, 2, 1, 2, 3, 3, 2, 2, 2, 3, 1, 0, 2, 0, 0, 1, 0, 3, 3, 3, 1, 2, 1, 3, 0, 3, 1, 3, 4, 4, 1, 3, 2, 2, 1]
pubkeycol1003 = [2, 3, 3, 2, 2, 4, 4, 2, 4, 2, 2, 1, 3, 0, 4, 1, 0, 3, 0, 0, 1, 1, 2, 1, 2, 4, 2, 4, 0, 2, 1, 4, 1, 4, 1, 1, 2, 4, 1, 4, 0, 4, 3, 1, 2, 2, 3, 2, 4, 4, 4, 3, 1, 2, 4, 4, 2, 0, 2, 2, 4, 0, 3, 3, 0, 0, 1, 2, 1, 2, 4, 0, 2, 0, 2, 2, 3, 4, 4, 1, 4, 4, 4, 2, 0, 1, 0, 1, 4, 4, 4, 0, 3, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 4, 1, 2, 4, 4, 1, 1, 0, 1, 0, 3, 0, 4, 1, 0, 4, 3, 0, 3, 0, 4, 3, 1, 2, 2, 2, 0, 0, 4, 0, 0, 2, 4, 3, 1, 0, 3, 4, 0, 3, 3, 4, 4, 3, 0, 0, 2, 4, 4, 0, 0, 3, 3, 1, 2, 1, 1, 4, 2, 0, 3, 1, 1, 1, 0, 3, 4, 1, 0, 1, 2, 1, 3, 3, 2, 2, 4, 1, 3, 2, 4, 0, 2, 0, 0, 1, 2, 0, 4, 0, 4, 3, 3, 2, 2, 2, 0, 3, 4, 1, 0, 2, 0, 0, 1, 0, 2, 2, 3, 1, 4, 0, 2, 0, 3, 1, 0, 0, 0, 4, 0, 1, 3, 1, 4, 2, 3, 1, 3, 3, 1, 2, 0, 3, 3, 3, 2, 2, 2, 1, 3, 1, 3, 4, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 3, 0, 1, 4, 4, 0, 4, 4, 2, 4, 4, 1, 4, 2, 2, 1, 1, 3, 0, 2, 4, 0, 2, 0, 2, 1, 3, 2, 1, 4, 1, 4, 4, 4, 2, 2, 2, 3, 4, 1, 2, 3, 2, 3, 2, 2, 2, 3, 3, 3, 0, 1, 1, 3, 3, 0, 3, 0, 3, 1, 2, 2, 3, 3, 3, 3, 4, 1, 0, 3, 2, 3, 2, 2, 1, 4, 0, 2, 1, 3, 2, 4, 0, 0, 4, 1, 3, 4, 1, 2, 0, 2, 4, 1, 0, 3, 0, 0, 3, 0, 4, 1, 0, 2, 4, 3, 0, 1, 0, 4, 0, 3, 1, 2, 3, 0, 0, 3, 3, 2, 4, 4, 1, 3, 1, 1, 2, 0, 0, 4, 3, 0, 2, 2, 4, 0, 4, 4, 4, 2, 4, 3, 3, 3, 3, 4, 0, 1, 1, 1, 1, 4, 3, 2, 1, 2, 4, 3, 0, 0, 4, 1, 4, 4, 0, 3, 4, 2, 4, 0, 0, 2, 4, 4, 3, 1, 3, 3, 1, 3, 4, 0, 4, 1, 3, 1, 1, 4, 4, 3, 0, 3, 4, 0, 3, 2, 0, 0, 3, 3, 0, 4, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 3, 4, 3, 2, 3, 1, 0, 1, 2, 0, 4, 2, 4, 1, 1, 1, 3, 0, 0, 2, 3, 0, 2, 2, 0, 4, 1, 0, 2, 1, 2, 2]
pubkeycol1004 = [3, 2, 1, 2, 1, 2, 3, 4, 3, 3, 2, 2, 1, 3, 1, 3, 0, 3, 1, 4, 4, 3, 4, 3, 4, 2, 0, 1, 1, 1, 3, 1, 3, 2, 3, 0, 2, 0, 3, 2, 4, 1, 1, 3, 1, 1, 0, 3, 1, 3, 1, 4, 1, 3, 2, 2, 0, 2, 4, 4, 0, 0, 0, 4, 4, 2, 0, 2, 1, 0, 0, 0, 3, 1, 1, 3, 3, 2, 0, 4, 1, 2, 4, 2, 3, 0, 4, 0, 1, 4, 4, 3, 2, 3, 0, 2, 1, 2, 2, 0, 1, 4, 4, 2, 1, 2, 0, 2, 1, 3, 2, 2, 0, 2, 3, 4, 1, 0, 3, 3, 1, 2, 3, 2, 1, 0, 0, 0, 3, 4, 1, 4, 3, 4, 4, 4, 0, 2, 3, 2, 4, 4, 1, 3, 1, 0, 2, 4, 0, 3, 3, 4, 4, 3, 1, 2, 1, 3, 4, 1, 4, 2, 2, 1, 3, 2, 4, 0, 0, 2, 3, 4, 4, 3, 4, 0, 2, 1, 4, 4, 0, 0, 2, 0, 2, 4, 2, 3, 0, 4, 0, 1, 4, 3, 2, 1, 3, 0, 1, 2, 0, 1, 3, 0, 0, 4, 3, 1, 2, 2, 4, 4, 2, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 3, 4, 1, 1, 3, 4, 3, 1, 4, 2, 0, 1, 3, 1, 2, 0, 4, 4, 4, 3, 0, 4, 1, 1, 4, 2, 0, 1, 4, 4, 3, 1, 1, 0, 3, 3, 0, 1, 4, 0, 3, 2, 1, 3, 3, 3, 0, 1, 2, 1, 1, 2, 4, 3, 4, 3, 4, 3, 1, 4, 3, 1, 4, 4, 3, 1, 2, 2, 3, 3, 4, 4, 1, 4, 4, 0, 2, 0, 0, 3, 2, 3, 3, 1, 0, 1, 4, 1, 2, 4, 3, 4, 2, 3, 2, 2, 3, 2, 3, 0, 3, 1, 4, 2, 4, 2, 1, 0, 2, 3, 2, 3, 3, 2, 3, 0, 4, 0, 3, 0, 2, 2, 4, 1, 4, 2, 4, 1, 3, 0, 0, 3, 0, 3, 2, 2, 4, 1, 3, 4, 4, 1, 3, 4, 3, 1, 0, 0, 3, 3, 4, 2, 4, 4, 0, 1, 0, 4, 3, 2, 1, 3, 0, 3, 0, 1, 3, 1, 4, 1, 0, 2, 2, 3, 4, 2, 0, 4, 1, 2, 4, 3, 3, 2, 3, 0, 0, 2, 4, 4, 0, 1, 2, 1, 2, 0, 0, 3, 2, 3, 4, 1, 1, 1, 1, 1, 3, 1, 4, 0, 4, 3, 2, 0, 4, 0, 3, 3, 0, 0, 4, 2, 4, 1, 3, 2, 3, 4, 4, 2, 4, 1, 0, 1, 3, 0, 2, 4, 2, 0, 4, 1, 1, 2, 3, 4, 1, 4, 2, 2, 4, 4, 0, 0, 2, 0, 1, 3, 3, 4, 2, 3, 0, 4, 2, 1, 1, 1, 4, 4, 4, 2, 2, 1, 1, 1]
pubkeycol1005 = [0, 3, 1, 0, 3, 2, 1, 2, 3, 1, 4, 3, 0, 4, 0, 0, 1, 1, 4, 3, 4, 0, 2, 3, 0, 2, 4, 1, 0, 4, 2, 2, 4, 3, 1, 0, 0, 2, 0, 0, 2, 4, 3, 4, 3, 4, 0, 4, 4, 1, 0, 4, 0, 1, 0, 0, 2, 4, 4, 2, 3, 3, 4, 4, 4, 1, 2, 0, 2, 2, 3, 4, 4, 3, 1, 0, 3, 0, 1, 2, 2, 1, 0, 3, 3, 1, 0, 0, 0, 3, 0, 3, 0, 4, 1, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 3, 1, 1, 4, 1, 2, 0, 4, 2, 0, 4, 0, 0, 4, 4, 3, 4, 1, 1, 0, 3, 4, 4, 0, 1, 2, 4, 0, 2, 1, 3, 4, 3, 4, 0, 0, 0, 1, 1, 1, 2, 0, 4, 0, 1, 2, 0, 4, 4, 2, 4, 3, 3, 0, 4, 3, 0, 4, 3, 2, 1, 2, 1, 4, 0, 1, 4, 3, 4, 0, 2, 0, 1, 4, 0, 1, 0, 2, 2, 4, 4, 4, 1, 0, 0, 2, 1, 4, 0, 1, 0, 3, 2, 2, 2, 2, 0, 2, 4, 1, 4, 2, 1, 0, 0, 3, 2, 2, 4, 0, 1, 1, 1, 1, 1, 4, 0, 0, 1, 0, 4, 1, 3, 3, 4, 3, 1, 1, 2, 4, 2, 4, 0, 0, 3, 3, 3, 0, 3, 2, 0, 4, 2, 0, 2, 0, 4, 4, 4, 3, 3, 1, 1, 4, 1, 3, 0, 0, 4, 2, 3, 3, 0, 0, 3, 1, 4, 3, 0, 1, 2, 0, 0, 2, 3, 0, 1, 2, 3, 0, 0, 4, 0, 4, 1, 3, 4, 1, 4, 0, 4, 2, 1, 3, 2, 3, 1, 3, 1, 1, 0, 1, 1, 1, 3, 2, 0, 0, 4, 2, 2, 2, 3, 4, 3, 1, 0, 3, 4, 4, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 4, 0, 1, 3, 0, 1, 2, 0, 1, 1, 0, 3, 0, 4, 3, 1, 0, 1, 3, 0, 2, 3, 2, 3, 1, 3, 0, 0, 3, 1, 4, 0, 1, 1, 3, 2, 3, 2, 1, 2, 2, 0, 4, 4, 2, 4, 0, 2, 3, 2, 1, 4, 2, 2, 2, 4, 0, 0, 2, 2, 1, 0, 4, 2, 0, 2, 2, 1, 2, 3, 3, 1, 1, 2, 3, 0, 2, 0, 3, 0, 4, 1, 3, 3, 3, 1, 0, 2, 0, 1, 0, 1, 4, 1, 3, 3, 1, 3, 4, 4, 3, 0, 4, 3, 1, 3, 4, 0, 2, 2, 2, 0, 3, 2, 2, 2, 0, 4, 1, 3, 1, 3, 3, 2, 3, 0, 3, 2, 2, 0, 1, 3, 3, 4, 4, 3, 1, 3, 0, 0, 1, 1, 2, 4, 1, 3, 2, 3, 2, 3, 1, 0, 2, 2, 2, 3, 1, 0, 2, 0, 0, 2, 1]
pubkeycol1006 = [3, 0, 1, 0, 0, 3, 0, 3, 2, 3, 0, 4, 0, 0, 3, 3, 0, 4, 2, 2, 3, 1, 0, 1, 0, 4, 3, 2, 2, 0, 3, 3, 3, 1, 2, 0, 4, 2, 3, 0, 4, 2, 3, 0, 4, 4, 4, 1, 2, 3, 2, 0, 1, 1, 1, 1, 3, 1, 3, 3, 0, 3, 1, 4, 4, 3, 0, 2, 1, 3, 1, 2, 0, 4, 3, 0, 0, 2, 0, 2, 2, 3, 2, 2, 2, 3, 1, 3, 2, 1, 4, 3, 1, 4, 1, 4, 2, 3, 4, 3, 4, 4, 0, 4, 0, 1, 4, 1, 4, 4, 0, 3, 4, 4, 2, 1, 1, 3, 0, 2, 2, 2, 4, 1, 3, 3, 4, 4, 2, 3, 3, 1, 3, 4, 0, 4, 1, 4, 3, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 4, 4, 0, 1, 4, 0, 3, 4, 4, 2, 4, 1, 2, 3, 4, 2, 4, 0, 0, 2, 2, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 4, 3, 2, 3, 3, 1, 4, 2, 4, 4, 0, 2, 0, 3, 3, 1, 3, 0, 4, 2, 0, 2, 4, 2, 0, 1, 0, 4, 2, 1, 1, 3, 1, 4, 0, 3, 0, 4, 1, 2, 2, 3, 2, 0, 1, 3, 1, 4, 0, 1, 2, 0, 4, 0, 2, 0, 0, 1, 0, 1, 2, 3, 1, 1, 0, 2, 2, 1, 4, 0, 3, 1, 2, 2, 2, 3, 3, 0, 1, 4, 0, 1, 3, 1, 1, 2, 1, 1, 2, 2, 0, 4, 3, 0, 4, 1, 1, 3, 3, 0, 1, 3, 2, 0, 0, 0, 1, 4, 4, 4, 4, 2, 4, 1, 2, 4, 3, 3, 4, 4, 3, 1, 0, 3, 3, 0, 4, 2, 2, 1, 2, 2, 0, 3, 1, 4, 3, 4, 3, 1, 4, 4, 1, 0, 3, 0, 1, 2, 2, 0, 2, 4, 0, 3, 3, 2, 1, 4, 0, 1, 4, 0, 4, 3, 3, 0, 1, 4, 0, 4, 3, 4, 3, 3, 0, 3, 1, 1, 3, 2, 3, 0, 0, 1, 0, 1, 2, 2, 2, 4, 0, 0, 3, 2, 0, 0, 1, 4, 1, 1, 0, 1, 4, 4, 2, 2, 0, 4, 0, 3, 0, 1, 0, 4, 4, 2, 4, 4, 0, 0, 1, 1, 0, 2, 1, 4, 4, 1, 3, 3, 1, 2, 1, 0, 1, 4, 3, 3, 2, 0, 3, 2, 4, 0, 4, 2, 1, 1, 0, 0, 3, 0, 0, 1, 3, 1, 4, 4, 4, 2, 2, 2, 1, 0, 2, 2, 1, 4, 0, 0, 4, 3, 3, 0, 2, 3, 1, 0, 4, 1, 4, 1, 0, 3, 0, 2, 3, 4, 3, 0, 0, 1, 2, 2, 2, 1, 0, 4, 4, 3, 4, 1, 0, 0, 3, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 3, 2, 1, 0, 3]
pubkeycol1007 = [0, 1, 1, 4, 2, 3, 1, 4, 1, 3, 3, 4, 2, 0, 2, 4, 4, 2, 0, 1, 2, 4, 0, 2, 2, 4, 0, 1, 3, 4, 4, 0, 4, 1, 3, 2, 3, 4, 3, 2, 0, 0, 0, 3, 3, 2, 3, 4, 4, 3, 0, 3, 0, 4, 3, 1, 3, 0, 1, 0, 2, 3, 4, 0, 0, 0, 0, 1, 2, 3, 2, 1, 4, 2, 0, 0, 3, 2, 3, 0, 0, 3, 0, 1, 0, 4, 4, 4, 1, 1, 1, 2, 2, 1, 1, 4, 1, 3, 2, 1, 3, 4, 2, 4, 3, 2, 1, 4, 1, 4, 3, 0, 2, 2, 2, 4, 3, 0, 1, 3, 4, 2, 4, 1, 2, 1, 4, 0, 4, 3, 0, 2, 0, 2, 4, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 4, 2, 2, 1, 3, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 3, 4, 1, 2, 2, 0, 3, 3, 0, 0, 2, 1, 4, 2, 3, 2, 4, 0, 2, 3, 1, 1, 1, 2, 1, 2, 1, 2, 1, 3, 3, 3, 4, 3, 4, 4, 4, 1, 0, 2, 4, 0, 3, 1, 1, 1, 3, 2, 0, 3, 3, 1, 2, 3, 1, 4, 3, 1, 1, 1, 2, 0, 3, 3, 4, 1, 4, 1, 4, 2, 3, 2, 4, 0, 1, 4, 0, 0, 4, 4, 0, 1, 0, 2, 1, 3, 0, 1, 3, 4, 1, 2, 1, 0, 2, 4, 0, 4, 2, 3, 2, 4, 0, 4, 2, 3, 0, 2, 4, 0, 0, 2, 2, 2, 4, 4, 0, 0, 1, 4, 2, 2, 4, 0, 3, 2, 4, 0, 2, 3, 0, 2, 4, 1, 0, 0, 4, 0, 1, 3, 1, 0, 1, 2, 3, 3, 1, 2, 3, 4, 2, 3, 4, 0, 3, 2, 4, 3, 2, 0, 0, 1, 4, 3, 3, 0, 1, 1, 4, 1, 4, 3, 2, 0, 2, 0, 1, 2, 0, 3, 3, 3, 0, 3, 4, 2, 0, 4, 0, 4, 4, 2, 1, 0, 2, 2, 2, 2, 4, 1, 2, 0, 1, 3, 2, 3, 0, 2, 3, 2, 0, 0, 3, 2, 1, 3, 1, 0, 4, 1, 2, 2, 3, 3, 1, 3, 0, 3, 4, 0, 0, 0, 4, 3, 3, 1, 3, 4, 4, 4, 0, 1, 4, 2, 4, 1, 2, 2, 1, 1, 3, 1, 3, 1, 0, 4, 0, 3, 4, 4, 1, 1, 4, 4, 2, 0, 1, 2, 0, 2, 4, 3, 0, 3, 2, 1, 1, 4, 4, 1, 1, 1, 3, 3, 2, 0, 2, 2, 3, 4, 2, 3, 0, 2, 4, 2, 4, 1, 2, 1, 1, 3, 2, 0, 2, 2, 2, 3, 0, 3, 4, 3, 2, 4, 4, 4, 2, 1, 3, 0, 3, 2, 0, 2, 0, 1, 2, 4, 4, 1, 1, 4, 1, 3, 4, 2, 4, 4, 0, 0, 1]
pubkeycol1008 = [2, 0, 1, 3, 2, 1, 3, 2, 1, 2, 0, 2, 4, 2, 1, 4, 4, 4, 1, 1, 3, 4, 2, 0, 0, 0, 1, 1, 3, 4, 3, 1, 1, 2, 0, 4, 2, 1, 1, 0, 4, 2, 3, 2, 1, 1, 1, 1, 0, 2, 1, 4, 0, 1, 4, 0, 1, 4, 0, 3, 1, 3, 0, 4, 2, 0, 0, 0, 3, 4, 3, 2, 4, 2, 2, 0, 3, 4, 4, 2, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 1, 1, 4, 4, 4, 1, 2, 4, 1, 1, 4, 3, 2, 1, 4, 3, 2, 2, 1, 4, 3, 0, 0, 4, 1, 0, 2, 4, 2, 1, 2, 0, 0, 0, 0, 1, 2, 4, 0, 3, 4, 1, 3, 1, 3, 0, 1, 0, 2, 2, 0, 0, 4, 4, 2, 0, 3, 1, 4, 1, 3, 4, 0, 2, 4, 2, 2, 2, 2, 2, 3, 1, 1, 4, 4, 1, 3, 1, 3, 4, 4, 2, 4, 1, 3, 4, 0, 2, 4, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 3, 4, 2, 2, 3, 0, 1, 0, 3, 3, 1, 1, 2, 4, 0, 2, 4, 2, 3, 3, 0, 1, 2, 3, 2, 1, 4, 4, 2, 3, 3, 3, 4, 2, 4, 0, 0, 1, 2, 0, 3, 0, 3, 2, 0, 3, 0, 3, 3, 4, 3, 3, 3, 3, 0, 1, 1, 3, 3, 1, 1, 0, 2, 3, 0, 4, 2, 2, 3, 0, 2, 3, 3, 4, 2, 1, 3, 3, 1, 4, 1, 1, 0, 0, 3, 2, 4, 0, 1, 3, 1, 4, 1, 0, 0, 2, 2, 4, 2, 3, 2, 0, 1, 1, 4, 0, 1, 0, 2, 2, 4, 2, 1, 0, 4, 4, 1, 3, 0, 4, 3, 3, 0, 0, 3, 0, 2, 3, 1, 0, 2, 1, 1, 2, 2, 4, 3, 1, 4, 1, 2, 3, 2, 0, 0, 3, 0, 0, 0, 3, 2, 1, 0, 0, 0, 4, 0, 2, 0, 1, 0, 0, 3, 2, 2, 2, 1, 3, 2, 0, 1, 0, 2, 3, 1, 2, 2, 2, 1, 1, 3, 4, 0, 4, 1, 1, 2, 2, 2, 4, 1, 0, 3, 1, 2, 4, 2, 1, 3, 0, 3, 4, 3, 0, 0, 2, 2, 0, 4, 1, 1, 0, 2, 3, 3, 4, 4, 1, 2, 1, 1, 2, 0, 2, 4, 1, 1, 0, 0, 0, 0, 3, 3, 1, 4, 3, 2, 0, 3, 4, 2, 3, 1, 0, 1, 0, 0, 1, 4, 4, 2, 1, 4, 0, 0, 3, 2, 2, 4, 1, 0, 0, 2, 2, 2, 1, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 1, 4, 2, 2, 1, 4, 1, 3, 3, 1, 4, 4, 0, 1, 1, 1, 2, 1, 0, 4, 2, 2, 3, 3, 2, 4, 2, 1, 2, 3, 3, 1, 2, 4, 2, 4, 3]
pubkeycol1009 = [0, 0, 2, 3, 2, 0, 3, 4, 4, 2, 1, 2, 3, 0, 4, 2, 4, 4, 0, 1, 3, 3, 2, 2, 4, 0, 3, 4, 2, 3, 1, 2, 1, 2, 0, 1, 1, 1, 3, 1, 0, 1, 4, 2, 4, 2, 2, 2, 0, 4, 1, 2, 0, 3, 4, 3, 4, 0, 4, 1, 1, 1, 1, 4, 1, 4, 3, 4, 2, 2, 0, 3, 1, 2, 1, 0, 2, 2, 2, 4, 3, 0, 4, 2, 2, 3, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 4, 0, 1, 4, 2, 0, 0, 3, 2, 2, 1, 3, 1, 3, 2, 2, 1, 1, 0, 3, 2, 0, 4, 4, 0, 2, 3, 1, 1, 0, 1, 2, 0, 1, 3, 1, 3, 3, 4, 0, 2, 3, 1, 2, 4, 2, 0, 0, 0, 3, 3, 3, 3, 0, 1, 0, 2, 2, 3, 0, 3, 2, 3, 3, 1, 4, 0, 3, 2, 1, 0, 2, 2, 2, 4, 1, 2, 4, 2, 0, 2, 2, 0, 0, 3, 0, 3, 1, 2, 3, 4, 3, 3, 0, 1, 2, 3, 1, 1, 0, 2, 4, 2, 2, 3, 0, 1, 2, 0, 1, 1, 3, 3, 4, 2, 4, 1, 1, 1, 3, 3, 1, 1, 1, 4, 2, 3, 2, 1, 3, 2, 0, 1, 2, 4, 0, 0, 0, 4, 0, 0, 2, 2, 1, 0, 4, 0, 1, 3, 4, 3, 2, 2, 1, 2, 4, 0, 4, 3, 2, 4, 2, 3, 1, 1, 0, 2, 4, 0, 0, 4, 2, 4, 4, 4, 1, 3, 4, 2, 2, 1, 1, 4, 0, 0, 2, 4, 2, 2, 3, 3, 2, 1, 2, 4, 3, 1, 3, 3, 4, 0, 4, 1, 1, 3, 0, 2, 2, 0, 3, 0, 3, 2, 4, 4, 3, 0, 4, 4, 4, 2, 1, 0, 3, 3, 4, 4, 3, 0, 4, 3, 4, 3, 0, 2, 1, 2, 1, 2, 3, 4, 1, 4, 3, 3, 2, 4, 0, 0, 3, 0, 2, 2, 0, 4, 4, 2, 1, 4, 1, 2, 1, 0, 4, 3, 0, 3, 3, 2, 1, 3, 1, 4, 4, 1, 2, 2, 0, 0, 3, 2, 4, 4, 0, 4, 0, 1, 2, 1, 4, 4, 3, 2, 1, 4, 4, 3, 4, 4, 4, 1, 3, 4, 0, 2, 0, 0, 3, 3, 0, 2, 4, 0, 3, 4, 0, 0, 1, 0, 3, 0, 4, 1, 0, 4, 2, 4, 4, 2, 1, 1, 4, 0, 1, 1, 3, 2, 0, 4, 2, 4, 3, 1, 3, 0, 0, 0, 2, 0, 2, 0, 4, 3, 0, 3, 3, 1, 0, 4, 4, 3, 0, 0, 4, 1, 4, 4, 4, 3, 2, 0, 2, 2, 3, 3, 2, 1, 1, 0, 1, 3, 3, 4, 1, 0, 0, 1, 4, 3, 2, 4, 0, 0, 2, 0, 1, 2, 1, 1, 0, 3, 4, 2, 3, 3, 0]
pubkeycol1010 = [4, 4, 1, 0, 0, 2, 0, 3, 1, 0, 0, 1, 0, 4, 4, 4, 0, 2, 1, 0, 1, 3, 3, 2, 3, 0, 2, 4, 1, 4, 2, 3, 0, 0, 3, 1, 0, 2, 0, 2, 0, 1, 3, 2, 3, 3, 0, 3, 1, 4, 1, 0, 0, 2, 4, 3, 4, 1, 1, 3, 2, 3, 3, 4, 4, 4, 1, 3, 2, 0, 2, 0, 0, 4, 1, 2, 4, 3, 0, 3, 4, 3, 3, 3, 3, 0, 3, 0, 1, 3, 3, 1, 1, 0, 2, 0, 0, 0, 4, 1, 3, 1, 1, 0, 3, 2, 4, 1, 4, 1, 2, 0, 0, 3, 2, 2, 0, 3, 1, 1, 4, 4, 3, 2, 2, 3, 1, 3, 1, 1, 1, 3, 2, 0, 2, 3, 3, 2, 3, 2, 1, 0, 4, 1, 1, 1, 2, 1, 2, 4, 3, 0, 3, 3, 4, 4, 3, 1, 3, 4, 3, 2, 1, 2, 0, 4, 1, 1, 1, 2, 2, 4, 2, 1, 2, 4, 0, 3, 4, 1, 4, 3, 3, 0, 1, 4, 1, 0, 4, 2, 4, 4, 2, 3, 1, 4, 2, 2, 0, 0, 2, 1, 1, 1, 3, 0, 0, 4, 4, 2, 0, 2, 1, 0, 4, 1, 1, 2, 2, 4, 0, 3, 3, 3, 3, 1, 4, 2, 0, 1, 1, 4, 4, 4, 4, 4, 1, 3, 2, 1, 2, 3, 3, 4, 0, 4, 4, 4, 1, 0, 3, 4, 0, 1, 3, 1, 2, 2, 4, 4, 1, 3, 0, 4, 3, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 4, 2, 3, 3, 2, 2, 1, 1, 4, 1, 3, 4, 4, 0, 4, 2, 4, 2, 0, 3, 3, 1, 4, 4, 0, 0, 2, 0, 2, 3, 4, 3, 1, 3, 2, 2, 3, 2, 4, 4, 3, 2, 3, 2, 0, 0, 0, 3, 2, 0, 3, 4, 2, 4, 1, 1, 0, 3, 3, 2, 3, 3, 3, 1, 1, 2, 2, 2, 4, 1, 4, 2, 0, 1, 3, 1, 0, 3, 0, 2, 2, 3, 0, 4, 4, 0, 2, 0, 2, 3, 1, 2, 0, 0, 3, 3, 0, 2, 2, 0, 3, 1, 0, 4, 4, 0, 0, 3, 1, 3, 2, 4, 2, 1, 0, 4, 4, 0, 3, 3, 1, 3, 4, 2, 3, 1, 1, 1, 1, 4, 3, 1, 3, 3, 1, 2, 4, 0, 2, 4, 2, 1, 0, 1, 3, 1, 1, 1, 4, 3, 2, 4, 3, 2, 1, 3, 1, 3, 1, 3, 4, 0, 4, 4, 0, 3, 1, 3, 0, 3, 4, 3, 4, 2, 0, 2, 3, 1, 4, 0, 1, 1, 0, 2, 1, 4, 1, 3, 2, 4, 3, 1, 3, 3, 4, 4, 0, 2, 0, 0, 4, 3, 2, 0, 0, 3, 0, 3, 3, 0, 0, 2, 4, 3, 2, 4, 2, 2, 2, 1, 3, 1, 1, 3, 2]
pubkeycol1011 = [4, 2, 1, 2, 2, 0, 2, 3, 2, 0, 1, 0, 3, 1, 2, 2, 3, 0, 4, 0, 3, 3, 4, 0, 0, 1, 0, 4, 4, 2, 1, 4, 4, 3, 4, 1, 4, 4, 3, 2, 3, 4, 2, 2, 1, 3, 3, 2, 2, 0, 3, 2, 2, 1, 4, 1, 2, 3, 1, 0, 2, 3, 2, 1, 4, 0, 3, 1, 3, 0, 3, 4, 0, 3, 2, 4, 2, 4, 3, 3, 3, 2, 4, 0, 4, 4, 1, 2, 3, 3, 1, 4, 2, 3, 0, 1, 2, 0, 2, 2, 4, 0, 4, 1, 3, 3, 2, 0, 3, 0, 4, 2, 3, 1, 0, 4, 1, 4, 2, 4, 1, 3, 1, 4, 4, 3, 4, 2, 3, 0, 2, 1, 1, 0, 4, 3, 0, 2, 4, 2, 3, 4, 0, 0, 1, 3, 0, 3, 2, 1, 4, 1, 1, 4, 3, 2, 0, 3, 2, 4, 3, 0, 4, 1, 2, 2, 1, 4, 2, 2, 1, 1, 0, 1, 4, 0, 2, 4, 4, 1, 3, 4, 0, 1, 2, 1, 2, 0, 0, 2, 4, 1, 1, 2, 3, 4, 4, 4, 4, 3, 4, 2, 4, 0, 2, 4, 3, 4, 0, 0, 2, 3, 2, 4, 2, 1, 3, 0, 1, 1, 4, 2, 1, 1, 3, 4, 3, 2, 4, 1, 3, 2, 1, 2, 2, 0, 0, 2, 0, 4, 1, 0, 4, 2, 2, 3, 4, 2, 0, 3, 0, 4, 1, 0, 4, 0, 2, 4, 3, 1, 2, 1, 0, 0, 1, 2, 4, 1, 2, 0, 3, 2, 2, 2, 4, 4, 0, 1, 2, 0, 4, 3, 2, 3, 3, 3, 2, 2, 2, 4, 0, 0, 2, 4, 1, 0, 4, 1, 0, 2, 1, 1, 1, 4, 3, 1, 1, 4, 4, 3, 4, 2, 1, 1, 4, 0, 0, 3, 0, 0, 4, 4, 1, 4, 1, 1, 3, 1, 3, 0, 0, 2, 1, 2, 2, 1, 4, 0, 1, 4, 1, 2, 2, 0, 0, 1, 3, 1, 1, 3, 0, 1, 0, 0, 2, 2, 3, 4, 3, 3, 2, 4, 0, 3, 3, 0, 3, 3, 3, 1, 3, 1, 4, 4, 1, 0, 1, 4, 3, 0, 3, 4, 2, 2, 0, 4, 1, 1, 2, 3, 0, 0, 2, 1, 2, 2, 3, 2, 4, 1, 3, 3, 1, 0, 0, 3, 0, 4, 1, 3, 2, 1, 0, 3, 1, 1, 0, 4, 2, 1, 0, 0, 2, 3, 3, 2, 2, 0, 4, 4, 2, 4, 3, 1, 4, 3, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 3, 3, 0, 2, 2, 3, 1, 2, 1, 3, 1, 1, 4, 2, 0, 1, 2, 2, 0, 3, 0, 4, 2, 2, 1, 4, 2, 4, 3, 2, 4, 2, 3, 0, 4, 2, 4, 2, 4, 2, 3, 4, 0, 3, 0, 0, 4, 1, 2, 3, 3, 0]
pubkeycol1012 = [0, 0, 4, 2, 4, 2, 1, 4, 0, 3, 1, 3, 2, 2, 0, 0, 3, 1, 0, 3, 1, 0, 0, 4, 3, 0, 3, 2, 3, 0, 2, 1, 0, 4, 4, 3, 0, 3, 2, 0, 1, 0, 3, 1, 0, 1, 2, 0, 0, 1, 1, 3, 0, 4, 4, 3, 0, 1, 0, 2, 1, 3, 1, 4, 2, 1, 4, 3, 3, 0, 1, 1, 2, 4, 1, 3, 4, 0, 2, 0, 4, 3, 4, 1, 3, 2, 2, 1, 1, 1, 4, 2, 4, 0, 2, 2, 3, 3, 0, 4, 1, 2, 1, 1, 4, 3, 0, 3, 2, 4, 4, 4, 4, 1, 3, 3, 3, 0, 1, 0, 0, 2, 3, 1, 0, 1, 2, 0, 0, 3, 2, 4, 2, 1, 3, 0, 2, 1, 4, 1, 0, 1, 4, 1, 1, 4, 0, 0, 0, 1, 4, 0, 1, 3, 0, 2, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 2, 4, 3, 0, 1, 4, 4, 2, 2, 4, 2, 2, 4, 4, 4, 4, 1, 2, 1, 1, 1, 2, 3, 0, 0, 1, 4, 3, 1, 2, 4, 0, 1, 4, 3, 0, 0, 3, 2, 2, 2, 1, 1, 3, 1, 0, 2, 2, 4, 0, 3, 1, 4, 3, 2, 0, 3, 4, 1, 2, 0, 4, 1, 4, 3, 1, 4, 0, 2, 3, 2, 2, 1, 4, 1, 1, 3, 3, 0, 4, 3, 4, 1, 2, 4, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 4, 4, 0, 2, 2, 1, 2, 4, 1, 2, 4, 2, 2, 1, 4, 0, 2, 0, 4, 3, 2, 4, 4, 0, 4, 1, 1, 1, 4, 4, 1, 2, 1, 3, 4, 1, 3, 2, 3, 2, 0, 1, 3, 2, 1, 2, 1, 4, 4, 4, 3, 0, 3, 1, 2, 4, 3, 1, 1, 4, 2, 0, 2, 3, 1, 0, 0, 4, 3, 3, 3, 4, 4, 0, 1, 1, 1, 4, 0, 4, 0, 0, 0, 1, 3, 2, 4, 1, 4, 2, 1, 3, 1, 2, 3, 0, 1, 2, 3, 1, 2, 1, 4, 2, 3, 0, 1, 3, 1, 3, 4, 2, 3, 0, 3, 0, 3, 2, 1, 2, 4, 4, 2, 3, 3, 1, 2, 1, 2, 4, 0, 2, 3, 2, 1, 3, 3, 2, 3, 1, 2, 1, 0, 4, 4, 0, 3, 0, 4, 4, 1, 0, 3, 0, 1, 0, 4, 2, 0, 0, 4, 0, 2, 4, 2, 0, 4, 0, 1, 3, 2, 0, 0, 0, 1, 4, 4, 3, 4, 4, 1, 3, 0, 3, 0, 0, 0, 4, 0, 2, 4, 1, 4, 2, 2, 4, 0, 1, 4, 0, 1, 3, 4, 1, 4, 4, 0, 2, 4, 1, 1, 3, 0, 2, 3, 3, 3, 1, 3, 4, 4, 4, 3, 2, 0, 2, 3, 0, 4, 3, 1, 1, 2, 2, 4, 3, 3, 0, 3, 1, 3]
pubkeycol1013 = [4, 0, 0, 3, 0, 0, 0, 0, 0, 3, 2, 1, 2, 3, 0, 0, 1, 2, 2, 3, 0, 0, 3, 3, 0, 1, 3, 3, 2, 1, 2, 4, 3, 2, 3, 1, 2, 0, 1, 2, 1, 3, 1, 0, 3, 0, 4, 2, 3, 3, 2, 2, 2, 4, 4, 2, 4, 1, 1, 1, 1, 3, 3, 0, 3, 3, 2, 0, 4, 2, 4, 2, 2, 2, 0, 0, 0, 0, 4, 3, 2, 4, 4, 1, 4, 4, 0, 3, 4, 3, 1, 4, 3, 2, 0, 2, 4, 4, 4, 3, 4, 4, 4, 3, 4, 3, 1, 2, 4, 0, 0, 0, 1, 4, 1, 1, 1, 1, 0, 4, 4, 2, 2, 0, 0, 0, 1, 3, 0, 2, 4, 2, 1, 2, 0, 0, 1, 0, 4, 4, 1, 0, 2, 3, 4, 1, 1, 0, 3, 0, 2, 0, 3, 3, 1, 3, 2, 1, 4, 0, 2, 1, 2, 4, 0, 3, 3, 2, 1, 1, 0, 2, 4, 1, 1, 1, 0, 2, 2, 4, 1, 3, 2, 2, 0, 4, 1, 0, 1, 3, 3, 2, 2, 3, 4, 4, 3, 4, 2, 3, 0, 3, 3, 2, 3, 4, 3, 3, 2, 4, 3, 2, 3, 4, 2, 2, 0, 1, 1, 0, 4, 0, 3, 3, 0, 3, 0, 1, 3, 3, 1, 3, 4, 2, 3, 4, 2, 4, 0, 3, 3, 0, 4, 2, 4, 0, 1, 3, 0, 3, 4, 0, 4, 2, 0, 1, 4, 1, 1, 2, 0, 4, 0, 1, 4, 2, 0, 2, 0, 0, 2, 0, 4, 0, 4, 4, 0, 2, 1, 4, 4, 3, 3, 3, 2, 1, 2, 3, 3, 1, 2, 3, 4, 1, 2, 1, 4, 3, 1, 4, 1, 3, 0, 4, 3, 1, 3, 0, 4, 2, 0, 3, 4, 3, 3, 4, 2, 1, 4, 2, 4, 4, 1, 1, 0, 4, 2, 1, 1, 2, 0, 4, 4, 2, 0, 2, 3, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 4, 0, 1, 0, 0, 3, 1, 2, 3, 2, 2, 3, 3, 1, 1, 3, 4, 2, 2, 1, 4, 2, 2, 0, 0, 1, 4, 1, 2, 1, 3, 4, 0, 4, 4, 3, 0, 1, 2, 3, 3, 3, 0, 1, 4, 1, 0, 2, 0, 0, 3, 1, 1, 1, 4, 1, 4, 1, 3, 0, 4, 2, 1, 1, 0, 0, 4, 0, 2, 2, 1, 2, 3, 1, 3, 1, 4, 3, 2, 2, 1, 4, 1, 3, 4, 0, 0, 0, 0, 2, 0, 2, 4, 4, 3, 4, 3, 0, 0, 2, 4, 2, 2, 0, 0, 2, 0, 4, 1, 3, 0, 3, 0, 0, 3, 2, 3, 0, 3, 4, 3, 4, 1, 2, 0, 4, 0, 0, 4, 4, 2, 0, 4, 3, 4, 0, 2, 1, 1, 0, 1, 0, 3, 3, 1, 3, 3, 4, 1, 0, 4, 2, 0, 1, 1, 1, 2, 1]
pubkeycol1014 = [4, 2, 1, 1, 3, 2, 3, 3, 0, 4, 1, 2, 4, 0, 4, 2, 0, 1, 4, 4, 1, 1, 0, 4, 0, 3, 3, 0, 3, 4, 4, 2, 2, 4, 3, 3, 0, 4, 3, 3, 4, 1, 1, 0, 0, 2, 2, 1, 3, 1, 4, 3, 0, 2, 3, 0, 1, 1, 4, 4, 3, 4, 0, 2, 2, 4, 3, 4, 4, 1, 0, 2, 1, 0, 2, 1, 4, 0, 1, 1, 3, 0, 2, 1, 2, 4, 0, 3, 0, 3, 4, 1, 0, 2, 0, 2, 0, 2, 0, 3, 2, 2, 0, 4, 0, 4, 2, 3, 3, 2, 0, 3, 1, 2, 2, 2, 3, 2, 1, 1, 3, 1, 4, 0, 4, 3, 2, 2, 4, 1, 0, 2, 1, 2, 2, 2, 4, 1, 3, 1, 4, 2, 3, 0, 4, 1, 3, 4, 0, 1, 0, 3, 1, 0, 2, 1, 2, 0, 3, 2, 0, 4, 2, 4, 1, 3, 3, 4, 0, 0, 4, 1, 1, 1, 3, 2, 1, 2, 3, 0, 2, 0, 1, 3, 3, 0, 0, 0, 1, 0, 1, 0, 1, 1, 4, 4, 1, 4, 2, 2, 0, 1, 1, 4, 1, 0, 2, 0, 0, 4, 2, 3, 3, 4, 0, 0, 4, 3, 3, 4, 3, 4, 2, 4, 4, 0, 4, 3, 1, 1, 4, 4, 2, 2, 1, 4, 4, 0, 1, 0, 3, 0, 0, 1, 2, 0, 0, 4, 1, 4, 4, 0, 4, 4, 2, 2, 4, 3, 3, 3, 4, 1, 2, 3, 4, 1, 0, 0, 4, 4, 4, 2, 1, 1, 4, 4, 3, 0, 1, 2, 4, 4, 3, 4, 2, 2, 1, 1, 2, 1, 3, 0, 1, 1, 2, 0, 3, 4, 2, 2, 1, 4, 3, 1, 2, 1, 3, 2, 4, 2, 1, 1, 1, 1, 2, 3, 4, 1, 3, 4, 2, 4, 1, 4, 2, 1, 4, 2, 1, 4, 0, 2, 4, 3, 2, 4, 4, 4, 1, 4, 2, 1, 4, 3, 3, 3, 0, 3, 1, 4, 1, 3, 1, 0, 1, 0, 3, 3, 2, 2, 1, 3, 1, 3, 0, 3, 2, 0, 2, 2, 2, 1, 3, 4, 3, 1, 4, 1, 3, 4, 1, 1, 4, 0, 3, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 4, 2, 1, 4, 1, 4, 4, 3, 2, 0, 2, 4, 1, 3, 1, 3, 1, 4, 1, 0, 0, 1, 2, 3, 4, 3, 1, 1, 4, 3, 3, 4, 2, 4, 3, 4, 3, 2, 4, 3, 1, 4, 1, 3, 0, 3, 1, 0, 0, 0, 3, 0, 0, 3, 4, 2, 1, 0, 3, 3, 1, 2, 4, 0, 4, 4, 3, 0, 4, 1, 3, 1, 2, 0, 0, 2, 4, 0, 3, 1, 0, 2, 1, 4, 1, 0, 0, 2, 1, 1, 0, 4, 2, 0, 3, 2, 3, 3, 4, 2, 1, 1, 4, 1, 2, 0, 0, 2, 4, 3]
pubkeycol1015 = [3, 3, 3, 2, 2, 1, 2, 2, 4, 2, 3, 1, 0, 4, 3, 3, 4, 0, 4, 2, 4, 4, 1, 1, 4, 4, 3, 3, 1, 0, 2, 2, 1, 2, 3, 2, 4, 0, 3, 3, 1, 2, 4, 2, 1, 3, 0, 1, 1, 1, 3, 3, 4, 4, 2, 2, 2, 3, 0, 4, 3, 4, 4, 3, 3, 4, 4, 3, 0, 4, 0, 1, 4, 2, 1, 0, 3, 4, 3, 1, 1, 4, 0, 3, 4, 1, 3, 1, 1, 1, 2, 2, 1, 0, 3, 0, 0, 0, 2, 2, 3, 1, 3, 3, 3, 2, 0, 3, 4, 2, 4, 0, 2, 2, 0, 1, 3, 2, 2, 0, 1, 3, 3, 3, 3, 3, 0, 4, 2, 4, 1, 3, 2, 0, 2, 4, 2, 4, 1, 0, 4, 2, 4, 3, 2, 3, 3, 2, 2, 3, 0, 0, 3, 4, 0, 1, 4, 4, 4, 2, 4, 0, 3, 4, 0, 0, 3, 4, 1, 3, 1, 3, 2, 0, 4, 4, 1, 3, 0, 3, 1, 0, 2, 1, 1, 0, 4, 3, 1, 2, 1, 0, 4, 4, 1, 4, 4, 1, 2, 1, 1, 2, 4, 2, 3, 4, 4, 2, 0, 4, 3, 3, 3, 2, 4, 2, 1, 4, 1, 2, 4, 1, 0, 0, 3, 2, 0, 3, 2, 1, 0, 0, 3, 3, 4, 0, 1, 2, 4, 4, 3, 1, 2, 3, 1, 0, 3, 3, 0, 3, 1, 0, 4, 3, 3, 4, 1, 1, 4, 1, 2, 3, 3, 1, 3, 2, 1, 3, 2, 4, 0, 4, 0, 1, 1, 4, 0, 0, 2, 1, 3, 0, 1, 0, 2, 3, 1, 0, 0, 1, 3, 1, 1, 1, 3, 3, 4, 4, 3, 1, 4, 2, 0, 1, 1, 4, 1, 3, 3, 0, 4, 4, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 4, 4, 1, 2, 0, 2, 0, 1, 1, 3, 4, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 0, 2, 3, 4, 0, 1, 2, 4, 1, 4, 1, 1, 4, 2, 0, 2, 0, 4, 1, 3, 2, 1, 1, 4, 0, 1, 2, 0, 3, 3, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 4, 4, 0, 1, 1, 0, 0, 4, 1, 1, 1, 0, 0, 3, 2, 2, 3, 2, 2, 3, 3, 1, 2, 3, 2, 3, 2, 3, 2, 4, 4, 0, 2, 2, 3, 4, 0, 4, 0, 0, 4, 2, 0, 4, 1, 0, 0, 3, 4, 0, 1, 1, 1, 1, 0, 4, 3, 1, 4, 1, 2, 4, 0, 1, 0, 2, 3, 0, 1, 0, 4, 1, 1, 4, 0, 0, 1, 1, 3, 2, 3, 2, 2, 3, 1, 0, 1, 0, 3, 3, 3, 1, 1, 2, 0, 0, 0, 1, 3, 1, 4, 3, 1, 0, 3, 1, 4, 2, 1, 3, 0, 2, 3, 3, 4, 3, 3, 3, 2]
pubkeycol1016 = [1, 4, 1, 1, 2, 1, 2, 4, 3, 3, 3, 4, 2, 4, 2, 0, 3, 4, 4, 4, 4, 1, 0, 0, 2, 0, 2, 2, 1, 0, 4, 3, 3, 4, 0, 1, 2, 4, 3, 3, 0, 4, 4, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 3, 0, 3, 0, 2, 0, 4, 2, 2, 2, 1, 1, 4, 4, 2, 4, 4, 4, 3, 2, 0, 3, 1, 3, 1, 1, 3, 2, 4, 3, 0, 4, 3, 0, 3, 4, 1, 3, 4, 4, 3, 1, 2, 4, 2, 4, 1, 2, 0, 0, 3, 0, 2, 4, 2, 0, 3, 0, 3, 4, 3, 4, 2, 0, 4, 2, 0, 3, 3, 3, 4, 1, 3, 4, 3, 0, 0, 2, 4, 2, 2, 0, 4, 1, 3, 0, 2, 4, 1, 3, 2, 4, 0, 0, 0, 1, 2, 2, 2, 2, 0, 4, 4, 3, 4, 3, 1, 0, 2, 2, 3, 2, 3, 0, 0, 4, 4, 0, 3, 2, 4, 4, 0, 4, 0, 1, 1, 0, 0, 4, 2, 0, 0, 2, 0, 3, 2, 1, 4, 2, 1, 0, 3, 2, 1, 0, 2, 4, 3, 1, 3, 0, 2, 2, 4, 0, 2, 1, 1, 2, 1, 2, 3, 3, 0, 4, 4, 3, 2, 2, 3, 0, 3, 4, 2, 3, 4, 3, 1, 0, 4, 1, 1, 2, 3, 3, 3, 3, 0, 4, 2, 4, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 0, 2, 2, 1, 3, 0, 3, 3, 4, 3, 3, 2, 4, 1, 0, 4, 4, 2, 4, 0, 1, 4, 3, 2, 4, 1, 4, 2, 2, 1, 3, 1, 3, 3, 1, 0, 1, 3, 0, 1, 1, 4, 0, 1, 2, 3, 4, 3, 2, 0, 1, 0, 0, 4, 4, 0, 4, 2, 4, 4, 2, 1, 1, 2, 0, 1, 4, 2, 4, 3, 1, 0, 3, 1, 1, 1, 1, 0, 1, 1, 1, 1, 4, 2, 2, 4, 3, 3, 1, 0, 4, 0, 4, 4, 4, 4, 3, 2, 1, 3, 3, 0, 3, 0, 0, 0, 1, 3, 4, 1, 1, 2, 4, 3, 3, 4, 0, 2, 1, 4, 3, 2, 4, 3, 3, 1, 4, 0, 3, 3, 3, 0, 3, 4, 3, 0, 1, 1, 3, 4, 2, 3, 1, 2, 0, 1, 1, 3, 0, 2, 1, 2, 4, 3, 1, 2, 2, 1, 3, 0, 4, 2, 2, 2, 1, 3, 1, 2, 3, 1, 4, 1, 4, 4, 3, 2, 1, 3, 4, 4, 2, 2, 1, 3, 0, 3, 1, 3, 2, 4, 4, 4, 1, 3, 3, 1, 2, 1, 2, 2, 3, 2, 1, 4, 2, 4, 4, 1, 1, 3, 0, 3, 2, 2, 2, 3, 4, 4, 4, 3, 0, 3, 4, 2, 3, 2, 3, 1, 3, 4, 1, 0, 0, 1, 1, 0, 2, 3, 4, 3, 3, 1, 1, 2, 0, 3, 0, 4, 4, 4]
pubkeycol1017 = [4, 3, 4, 2, 3, 3, 1, 0, 0, 2, 3, 2, 1, 2, 0, 1, 3, 2, 2, 0, 2, 3, 4, 3, 2, 3, 4, 1, 3, 2, 2, 2, 0, 2, 4, 4, 0, 4, 1, 3, 1, 0, 0, 4, 0, 3, 4, 4, 0, 1, 4, 1, 0, 0, 4, 4, 4, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 4, 0, 2, 2, 2, 0, 4, 3, 1, 0, 3, 3, 3, 0, 4, 4, 2, 0, 1, 0, 4, 0, 4, 2, 3, 1, 4, 1, 1, 1, 4, 0, 2, 0, 1, 4, 0, 2, 0, 4, 4, 3, 0, 0, 4, 3, 0, 4, 2, 2, 0, 1, 4, 4, 4, 3, 3, 3, 1, 1, 0, 4, 3, 1, 3, 3, 4, 1, 2, 2, 2, 4, 0, 3, 1, 1, 2, 3, 2, 3, 2, 3, 2, 2, 3, 4, 3, 2, 3, 2, 2, 4, 4, 3, 4, 1, 0, 0, 2, 1, 0, 3, 0, 1, 1, 3, 4, 2, 0, 1, 1, 4, 1, 0, 3, 1, 3, 1, 4, 2, 0, 4, 4, 3, 2, 4, 3, 4, 0, 4, 0, 4, 4, 2, 0, 1, 3, 3, 0, 0, 4, 0, 4, 1, 3, 3, 0, 0, 3, 4, 0, 0, 4, 1, 1, 3, 2, 1, 1, 2, 1, 4, 0, 3, 3, 3, 4, 2, 0, 0, 3, 2, 2, 2, 4, 1, 0, 2, 4, 1, 4, 3, 0, 3, 1, 2, 0, 0, 3, 3, 4, 3, 3, 1, 3, 3, 2, 0, 4, 2, 3, 3, 3, 3, 0, 3, 3, 1, 0, 3, 1, 3, 3, 3, 3, 2, 3, 3, 0, 1, 0, 4, 0, 0, 4, 3, 4, 2, 0, 3, 3, 2, 4, 2, 2, 4, 2, 1, 2, 1, 2, 3, 4, 0, 2, 2, 3, 0, 4, 1, 0, 3, 1, 2, 2, 3, 4, 3, 2, 0, 3, 0, 4, 3, 4, 0, 0, 3, 1, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 2, 3, 4, 2, 0, 3, 1, 2, 4, 4, 1, 3, 0, 0, 0, 0, 2, 3, 0, 0, 1, 2, 1, 1, 0, 1, 1, 4, 4, 2, 1, 0, 3, 0, 4, 1, 4, 4, 0, 4, 4, 0, 3, 1, 4, 3, 2, 3, 2, 1, 3, 2, 3, 3, 0, 3, 3, 4, 4, 1, 2, 0, 0, 2, 0, 2, 0, 0, 3, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 3, 3, 3, 0, 1, 3, 4, 4, 3, 1, 2, 4, 0, 0, 0, 1, 0, 2, 3, 1, 0, 0, 2, 0, 1, 2, 3, 3, 0, 4, 3, 2, 3, 4, 2, 0, 3, 2, 0, 3, 0, 0, 4, 2, 1, 4, 1, 0, 4, 0, 4, 0, 0, 4, 0, 1, 1, 3, 1, 4, 2, 2, 1, 1, 3, 4]
pubkeycol1018 = [3, 1, 2, 3, 1, 1, 1, 4, 3, 0, 4, 4, 0, 0, 0, 1, 4, 4, 3, 2, 2, 1, 3, 2, 4, 2, 0, 3, 0, 3, 4, 3, 2, 4, 3, 3, 0, 4, 1, 2, 2, 2, 2, 3, 3, 1, 0, 3, 1, 3, 4, 2, 1, 0, 1, 2, 2, 4, 2, 1, 4, 0, 4, 2, 1, 2, 0, 1, 3, 0, 1, 1, 0, 1, 2, 3, 1, 4, 0, 0, 2, 2, 1, 3, 1, 2, 0, 1, 1, 2, 1, 0, 4, 2, 2, 1, 4, 3, 3, 1, 3, 0, 2, 0, 4, 3, 4, 4, 2, 2, 2, 3, 3, 1, 4, 4, 0, 4, 2, 4, 0, 2, 0, 0, 4, 2, 3, 1, 2, 4, 2, 1, 3, 1, 2, 4, 4, 4, 2, 4, 3, 1, 1, 1, 3, 0, 4, 0, 2, 0, 1, 3, 0, 0, 2, 3, 4, 3, 2, 1, 1, 2, 3, 3, 1, 2, 4, 3, 0, 2, 3, 4, 1, 4, 0, 1, 1, 3, 1, 3, 2, 2, 3, 1, 0, 4, 4, 0, 2, 2, 4, 1, 0, 1, 1, 3, 2, 3, 0, 3, 0, 4, 1, 2, 4, 0, 4, 4, 0, 3, 1, 2, 2, 2, 2, 0, 4, 3, 2, 3, 4, 0, 2, 1, 2, 3, 3, 1, 2, 1, 1, 0, 2, 2, 4, 1, 1, 2, 4, 4, 1, 4, 3, 1, 3, 1, 1, 2, 2, 0, 3, 4, 2, 0, 2, 1, 0, 1, 4, 0, 0, 0, 4, 1, 4, 0, 2, 0, 1, 4, 0, 2, 3, 4, 0, 4, 1, 3, 2, 2, 3, 1, 1, 1, 4, 1, 0, 2, 0, 0, 0, 4, 3, 0, 3, 4, 2, 2, 0, 4, 1, 2, 1, 2, 1, 1, 4, 4, 3, 1, 1, 0, 3, 3, 3, 1, 0, 4, 2, 0, 3, 4, 4, 3, 3, 0, 4, 4, 1, 4, 1, 4, 4, 1, 3, 2, 2, 3, 1, 0, 2, 3, 0, 3, 4, 0, 0, 1, 1, 1, 0, 1, 1, 4, 3, 2, 3, 0, 2, 1, 0, 4, 1, 3, 0, 2, 2, 3, 0, 1, 0, 1, 0, 4, 0, 1, 0, 1, 4, 1, 1, 2, 4, 3, 1, 1, 2, 2, 4, 0, 3, 1, 4, 1, 3, 0, 2, 1, 1, 4, 3, 0, 1, 1, 2, 4, 0, 3, 4, 0, 3, 3, 1, 4, 1, 1, 2, 3, 3, 2, 0, 3, 1, 2, 0, 1, 4, 1, 4, 4, 2, 1, 0, 1, 0, 2, 0, 4, 4, 1, 0, 2, 0, 3, 2, 3, 4, 2, 1, 1, 1, 4, 0, 2, 0, 0, 2, 4, 1, 2, 1, 4, 0, 4, 0, 1, 2, 1, 2, 0, 4, 0, 1, 1, 4, 2, 1, 1, 0, 4, 0, 2, 2, 3, 1, 4, 3, 3, 3, 3, 1, 4, 1, 3, 2, 1, 3, 0, 2, 3, 0, 3, 3, 0, 4]
pubkeycol1019 = [3, 4, 1, 2, 1, 1, 2, 1, 1, 0, 3, 0, 2, 3, 3, 4, 1, 1, 0, 0, 1, 4, 2, 0, 2, 2, 4, 2, 3, 4, 4, 4, 2, 3, 1, 3, 4, 1, 4, 3, 4, 0, 4, 0, 1, 2, 0, 4, 1, 4, 3, 2, 1, 4, 3, 3, 2, 0, 2, 4, 1, 4, 0, 1, 4, 4, 1, 4, 1, 2, 0, 4, 4, 0, 4, 0, 2, 4, 1, 2, 0, 3, 3, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 4, 0, 1, 2, 3, 4, 3, 2, 1, 0, 1, 0, 4, 4, 1, 3, 1, 1, 1, 0, 3, 0, 0, 3, 0, 4, 0, 3, 2, 4, 0, 4, 1, 4, 0, 3, 1, 2, 0, 3, 0, 4, 0, 1, 4, 4, 4, 4, 4, 4, 1, 3, 2, 0, 1, 3, 2, 4, 3, 4, 1, 1, 1, 3, 3, 3, 1, 4, 4, 1, 0, 2, 4, 2, 1, 2, 2, 3, 2, 2, 3, 3, 3, 3, 1, 0, 0, 1, 1, 1, 0, 3, 4, 1, 2, 3, 3, 0, 3, 2, 3, 3, 3, 4, 2, 0, 3, 1, 2, 1, 0, 2, 3, 2, 2, 3, 2, 3, 0, 4, 4, 1, 3, 3, 2, 4, 2, 4, 1, 0, 3, 2, 3, 1, 2, 0, 1, 4, 4, 1, 0, 4, 3, 4, 3, 1, 1, 3, 4, 0, 0, 2, 3, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 4, 4, 2, 4, 0, 0, 4, 1, 3, 3, 0, 2, 0, 2, 0, 3, 3, 1, 1, 2, 2, 3, 2, 4, 3, 1, 0, 2, 4, 3, 3, 3, 4, 3, 1, 4, 1, 0, 3, 1, 4, 2, 4, 4, 3, 0, 0, 1, 4, 1, 1, 3, 0, 2, 0, 3, 0, 1, 3, 2, 3, 1, 2, 2, 1, 0, 1, 0, 0, 3, 3, 4, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 3, 2, 4, 4, 3, 0, 1, 2, 4, 3, 4, 0, 0, 4, 2, 3, 4, 0, 0, 2, 2, 2, 3, 2, 4, 1, 3, 1, 1, 1, 0, 0, 1, 4, 3, 4, 0, 0, 1, 4, 0, 3, 2, 1, 4, 0, 3, 2, 4, 3, 1, 3, 2, 2, 4, 0, 1, 0, 3, 1, 4, 4, 0, 1, 4, 2, 4, 3, 0, 4, 1, 3, 2, 1, 0, 2, 0, 0, 0, 1, 3, 1, 4, 0, 1, 3, 3, 0, 1, 0, 0, 0, 4, 2, 2, 4, 2, 0, 0, 1, 2, 4, 4, 3, 0, 2, 4, 3, 3, 3, 2, 3, 2, 1, 2, 1, 4, 1, 0, 3, 0, 4, 0, 0, 1, 3, 1, 1, 0, 0, 2, 4, 3, 3, 1, 4, 3, 0, 4, 4, 2, 3, 1, 4, 1, 4, 3, 3, 4, 2, 2, 2, 0, 4, 4, 3, 4, 4, 0, 4, 2, 2, 4]
pubkeycol1020 = [4, 0, 1, 3, 1, 1, 1, 0, 4, 2, 0, 0, 1, 2, 2, 3, 0, 4, 4, 3, 3, 2, 0, 4, 1, 1, 4, 4, 0, 3, 1, 0, 0, 0, 2, 2, 0, 0, 1, 3, 3, 1, 0, 3, 1, 1, 3, 0, 0, 0, 2, 4, 0, 1, 2, 2, 4, 2, 4, 0, 4, 0, 2, 3, 0, 2, 4, 3, 4, 0, 4, 4, 2, 0, 1, 3, 4, 2, 4, 4, 1, 2, 0, 3, 0, 4, 1, 4, 4, 4, 1, 3, 4, 1, 1, 0, 4, 0, 4, 2, 4, 1, 3, 1, 0, 1, 3, 4, 4, 2, 3, 3, 0, 3, 3, 2, 1, 2, 3, 4, 0, 4, 2, 1, 0, 0, 0, 2, 3, 0, 2, 0, 1, 2, 1, 2, 0, 0, 4, 4, 2, 4, 4, 3, 3, 0, 3, 0, 4, 0, 1, 1, 4, 2, 1, 3, 1, 1, 4, 4, 3, 4, 3, 2, 0, 4, 0, 0, 2, 3, 0, 4, 4, 1, 4, 3, 2, 2, 0, 4, 0, 3, 2, 4, 2, 0, 2, 3, 0, 3, 1, 3, 1, 4, 4, 4, 0, 1, 1, 1, 2, 4, 2, 3, 3, 2, 1, 2, 4, 4, 2, 1, 4, 2, 2, 3, 1, 3, 0, 4, 3, 4, 1, 4, 4, 3, 4, 3, 3, 0, 3, 0, 3, 3, 2, 1, 4, 4, 1, 2, 1, 1, 1, 3, 0, 1, 2, 1, 1, 1, 4, 0, 3, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 0, 2, 3, 2, 3, 3, 1, 1, 3, 2, 2, 1, 4, 1, 1, 0, 1, 0, 2, 3, 0, 1, 4, 2, 3, 0, 4, 4, 0, 4, 2, 3, 3, 2, 2, 1, 4, 4, 1, 1, 1, 3, 2, 0, 0, 1, 4, 0, 3, 1, 0, 1, 0, 4, 2, 4, 4, 3, 3, 1, 1, 3, 3, 0, 2, 3, 3, 4, 2, 0, 1, 4, 0, 3, 2, 4, 2, 0, 0, 4, 2, 0, 4, 4, 3, 3, 0, 4, 2, 2, 3, 0, 4, 0, 3, 2, 0, 0, 2, 1, 3, 4, 1, 1, 0, 2, 0, 3, 3, 2, 1, 0, 4, 2, 0, 1, 3, 1, 4, 2, 4, 0, 0, 2, 2, 4, 3, 4, 0, 1, 2, 0, 1, 3, 4, 4, 1, 4, 2, 2, 3, 0, 0, 0, 1, 4, 3, 3, 4, 4, 1, 4, 2, 0, 2, 3, 3, 1, 1, 1, 2, 1, 3, 0, 2, 3, 1, 4, 3, 4, 0, 4, 1, 3, 0, 3, 2, 4, 2, 1, 0, 1, 1, 2, 3, 3, 4, 0, 4, 4, 4, 0, 1, 2, 1, 2, 1, 3, 4, 3, 4, 3, 4, 2, 3, 2, 2, 0, 2, 3, 1, 2, 2, 2, 0, 1, 1, 4, 1, 4, 2, 0, 3, 0, 4, 1, 3, 1, 4, 3, 2, 4, 2, 2, 1, 1, 3, 3, 2, 2]
pubkeycol1021 = [0, 1, 2, 4, 4, 2, 3, 3, 3, 0, 3, 4, 4, 1, 1, 4, 2, 3, 2, 3, 0, 3, 4, 0, 3, 3, 1, 2, 1, 3, 4, 2, 4, 3, 1, 2, 1, 0, 1, 1, 0, 3, 2, 1, 0, 3, 1, 4, 0, 3, 2, 0, 2, 0, 3, 3, 3, 1, 1, 0, 4, 0, 2, 0, 0, 0, 4, 4, 4, 2, 1, 3, 1, 1, 4, 4, 0, 2, 2, 0, 1, 3, 2, 0, 4, 1, 1, 3, 3, 0, 2, 1, 2, 1, 0, 3, 4, 2, 2, 1, 1, 0, 1, 4, 3, 3, 1, 3, 3, 0, 1, 2, 2, 1, 3, 2, 1, 3, 4, 3, 1, 2, 3, 0, 3, 2, 3, 0, 3, 1, 0, 3, 0, 4, 4, 2, 1, 1, 2, 2, 0, 2, 4, 0, 3, 4, 3, 1, 3, 2, 2, 0, 0, 1, 2, 4, 4, 2, 0, 3, 3, 0, 3, 2, 0, 4, 2, 1, 1, 2, 2, 0, 3, 0, 0, 4, 2, 0, 3, 0, 4, 1, 4, 3, 0, 0, 1, 0, 3, 4, 3, 0, 1, 3, 1, 1, 3, 3, 2, 3, 0, 1, 2, 2, 1, 2, 4, 1, 3, 2, 2, 0, 0, 1, 0, 3, 4, 4, 4, 0, 4, 2, 2, 0, 4, 3, 2, 1, 3, 3, 1, 2, 3, 0, 1, 4, 4, 0, 2, 4, 4, 4, 3, 1, 4, 2, 1, 4, 0, 1, 0, 2, 4, 4, 1, 1, 1, 3, 0, 3, 3, 4, 4, 1, 0, 0, 0, 0, 0, 3, 2, 4, 1, 3, 2, 0, 0, 4, 1, 4, 3, 1, 2, 1, 3, 2, 3, 4, 4, 4, 0, 4, 4, 3, 2, 0, 2, 4, 1, 2, 1, 0, 1, 4, 4, 1, 3, 1, 4, 4, 4, 1, 1, 4, 1, 4, 4, 3, 4, 1, 4, 1, 4, 0, 2, 3, 0, 4, 3, 3, 4, 4, 0, 0, 0, 0, 2, 0, 4, 0, 3, 1, 3, 0, 3, 2, 3, 2, 2, 4, 1, 4, 3, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 4, 2, 0, 0, 3, 0, 2, 0, 2, 4, 3, 1, 4, 3, 2, 2, 0, 4, 3, 0, 2, 1, 4, 2, 1, 3, 0, 0, 3, 3, 1, 0, 2, 1, 2, 1, 1, 0, 0, 4, 0, 4, 3, 1, 3, 2, 0, 3, 0, 1, 2, 4, 1, 4, 2, 3, 4, 3, 0, 4, 0, 4, 1, 2, 3, 1, 2, 3, 4, 4, 4, 0, 2, 2, 0, 4, 3, 0, 4, 2, 0, 2, 1, 2, 4, 1, 0, 4, 4, 0, 1, 1, 4, 3, 2, 1, 2, 1, 0, 4, 1, 4, 2, 3, 3, 1, 2, 3, 4, 2, 0, 2, 0, 3, 1, 1, 0, 0, 2, 4, 0, 1, 1, 4, 4, 0, 4, 3, 3, 1, 1, 3, 4, 0, 1, 2, 0, 3, 2, 2, 4]
pubkeycol1022 = [0, 1, 4, 4, 0, 0, 1, 0, 2, 0, 4, 4, 2, 3, 1, 3, 0, 4, 3, 0, 4, 3, 3, 3, 0, 0, 1, 3, 4, 0, 3, 0, 3, 1, 0, 3, 0, 2, 1, 3, 1, 4, 4, 3, 1, 1, 1, 3, 0, 2, 3, 3, 1, 1, 3, 0, 3, 0, 4, 0, 0, 1, 2, 4, 3, 3, 3, 0, 3, 2, 1, 2, 1, 4, 0, 4, 3, 0, 3, 3, 2, 1, 1, 4, 2, 0, 3, 1, 0, 3, 1, 4, 4, 0, 0, 1, 4, 1, 0, 4, 0, 0, 4, 4, 4, 3, 2, 0, 3, 4, 3, 3, 3, 2, 3, 4, 4, 0, 2, 4, 4, 1, 0, 4, 1, 3, 0, 0, 3, 2, 2, 2, 0, 3, 4, 3, 2, 2, 2, 3, 1, 2, 0, 0, 4, 0, 0, 3, 2, 1, 1, 3, 1, 4, 2, 0, 3, 4, 0, 0, 4, 1, 3, 2, 1, 2, 2, 0, 3, 1, 0, 3, 4, 1, 1, 4, 4, 1, 3, 4, 1, 4, 1, 1, 4, 3, 4, 4, 3, 2, 0, 2, 1, 3, 4, 2, 1, 0, 0, 0, 0, 3, 1, 2, 4, 1, 4, 0, 4, 1, 3, 4, 1, 2, 3, 3, 2, 0, 3, 2, 0, 2, 3, 4, 2, 4, 0, 2, 3, 2, 0, 0, 2, 3, 4, 2, 2, 4, 2, 2, 1, 4, 4, 2, 2, 1, 2, 0, 3, 2, 4, 3, 3, 4, 0, 3, 0, 0, 3, 0, 2, 1, 0, 1, 2, 0, 4, 2, 2, 4, 0, 0, 3, 2, 3, 2, 3, 3, 4, 1, 4, 4, 2, 4, 3, 3, 0, 0, 4, 0, 2, 1, 2, 3, 2, 2, 3, 0, 4, 1, 3, 3, 0, 0, 3, 1, 4, 3, 4, 1, 1, 4, 4, 3, 0, 3, 0, 2, 0, 4, 1, 4, 0, 0, 0, 0, 4, 3, 0, 1, 3, 4, 1, 3, 0, 2, 0, 1, 2, 4, 2, 2, 2, 0, 3, 1, 4, 4, 3, 0, 4, 2, 2, 2, 4, 2, 2, 1, 0, 4, 4, 2, 1, 1, 0, 1, 3, 2, 4, 2, 3, 2, 0, 0, 3, 1, 2, 2, 4, 1, 3, 4, 1, 4, 1, 1, 3, 3, 1, 3, 2, 1, 0, 4, 2, 1, 0, 0, 0, 0, 0, 0, 4, 3, 2, 0, 4, 1, 0, 1, 3, 1, 4, 2, 2, 3, 0, 3, 4, 4, 0, 3, 0, 3, 3, 1, 2, 4, 0, 1, 1, 2, 1, 0, 2, 2, 4, 2, 2, 0, 2, 2, 1, 4, 0, 4, 1, 0, 3, 1, 2, 4, 2, 3, 4, 0, 1, 1, 2, 4, 4, 0, 2, 4, 0, 1, 1, 0, 1, 3, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 4, 1, 2, 0, 0, 0, 0, 4, 0, 0, 2, 4, 3, 0, 3, 3, 0, 3, 0, 3, 2, 3, 4, 4, 2]
pubkeycol1023 = [3, 1, 1, 3, 4, 1, 1, 2, 1, 2, 1, 0, 4, 1, 2, 4, 2, 2, 0, 4, 1, 3, 4, 1, 4, 1, 3, 2, 1, 4, 2, 4, 4, 1, 4, 0, 4, 3, 0, 1, 0, 1, 0, 3, 2, 2, 3, 1, 1, 1, 0, 1, 0, 4, 1, 3, 0, 0, 1, 0, 3, 3, 3, 3, 4, 1, 3, 2, 1, 0, 3, 1, 4, 4, 2, 0, 3, 1, 4, 3, 4, 0, 0, 4, 3, 0, 2, 2, 3, 2, 0, 0, 1, 2, 0, 0, 1, 2, 3, 3, 1, 3, 4, 0, 4, 3, 0, 0, 0, 4, 3, 1, 3, 2, 2, 4, 1, 1, 1, 0, 0, 0, 1, 1, 3, 0, 2, 3, 3, 2, 4, 1, 3, 1, 2, 0, 4, 0, 3, 4, 1, 0, 4, 1, 1, 2, 1, 1, 3, 2, 1, 1, 4, 4, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 3, 0, 3, 4, 4, 0, 4, 0, 1, 4, 0, 4, 3, 0, 0, 0, 0, 1, 3, 0, 4, 4, 3, 0, 2, 0, 1, 4, 2, 4, 3, 2, 0, 4, 2, 1, 3, 4, 3, 4, 3, 1, 2, 2, 2, 2, 4, 3, 2, 3, 3, 3, 0, 2, 1, 4, 0, 4, 0, 2, 0, 2, 3, 1, 1, 1, 0, 0, 2, 3, 0, 3, 2, 0, 3, 3, 3, 0, 2, 0, 4, 0, 3, 1, 3, 4, 2, 0, 0, 0, 4, 3, 1, 4, 3, 4, 1, 0, 2, 3, 4, 3, 4, 3, 0, 4, 2, 1, 0, 2, 3, 2, 4, 1, 3, 0, 4, 4, 0, 3, 2, 3, 3, 3, 1, 0, 0, 0, 4, 3, 1, 3, 4, 4, 2, 3, 3, 1, 4, 0, 0, 0, 3, 2, 1, 0, 4, 2, 3, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 3, 2, 0, 4, 3, 3, 3, 1, 2, 3, 4, 1, 0, 1, 3, 4, 3, 2, 1, 4, 1, 4, 1, 4, 2, 1, 0, 3, 4, 2, 0, 3, 0, 4, 3, 4, 2, 3, 0, 3, 3, 0, 4, 2, 4, 1, 2, 1, 0, 1, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 3, 3, 4, 3, 0, 1, 0, 3, 2, 3, 4, 1, 4, 4, 4, 0, 1, 3, 0, 2, 1, 4, 0, 2, 4, 4, 3, 2, 3, 1, 3, 3, 4, 2, 4, 4, 2, 2, 4, 4, 3, 3, 4, 3, 0, 4, 2, 0, 0, 2, 4, 2, 1, 3, 3, 1, 1, 0, 4, 0, 1, 2, 1, 0, 3, 4, 1, 4, 2, 3, 4, 1, 4, 1, 0, 0, 1, 2, 1, 4, 1, 2, 3, 3, 0, 3, 0, 3, 2, 0, 4, 2, 2, 0, 2, 1, 4, 3, 2, 0, 0, 2, 4, 0, 2, 3, 1, 1, 4, 4, 2, 2, 0, 0, 4, 2]
pubkeycol1024 = [3, 4, 2, 0, 2, 4, 0, 0, 1, 0, 2, 2, 0, 3, 0, 3, 3, 3, 2, 2, 3, 4, 4, 3, 1, 2, 0, 0, 4, 1, 2, 0, 1, 2, 1, 4, 1, 1, 4, 0, 2, 3, 2, 4, 1, 2, 4, 1, 4, 3, 0, 2, 0, 1, 2, 3, 4, 1, 1, 1, 4, 1, 3, 4, 1, 1, 0, 2, 1, 4, 1, 0, 2, 3, 0, 1, 3, 3, 1, 1, 1, 1, 4, 2, 4, 4, 0, 2, 0, 4, 4, 2, 4, 2, 4, 1, 2, 4, 2, 4, 3, 0, 0, 0, 0, 4, 2, 1, 0, 0, 0, 0, 3, 0, 2, 1, 3, 1, 4, 2, 4, 0, 0, 2, 2, 3, 2, 2, 2, 3, 2, 2, 4, 4, 0, 0, 3, 1, 2, 4, 0, 4, 1, 1, 4, 2, 2, 2, 4, 0, 0, 4, 2, 3, 4, 3, 4, 1, 4, 0, 4, 1, 4, 1, 4, 1, 0, 4, 2, 0, 1, 0, 0, 0, 4, 1, 1, 3, 4, 3, 1, 0, 2, 1, 0, 4, 1, 3, 2, 1, 2, 3, 3, 4, 1, 2, 0, 4, 2, 2, 2, 2, 2, 0, 4, 3, 3, 2, 1, 2, 1, 2, 1, 0, 0, 2, 4, 1, 2, 3, 2, 1, 3, 1, 4, 0, 1, 4, 4, 3, 1, 4, 1, 2, 3, 3, 0, 3, 2, 1, 3, 1, 4, 1, 3, 4, 4, 0, 4, 4, 3, 4, 3, 3, 3, 4, 3, 0, 4, 0, 3, 2, 2, 2, 0, 4, 3, 3, 0, 2, 2, 4, 3, 2, 4, 0, 2, 4, 4, 2, 4, 4, 4, 3, 0, 2, 1, 4, 1, 3, 4, 1, 3, 4, 0, 3, 4, 0, 3, 3, 2, 0, 3, 4, 2, 1, 2, 3, 3, 0, 3, 3, 2, 4, 4, 1, 0, 1, 2, 2, 2, 4, 3, 2, 3, 2, 0, 1, 1, 3, 2, 1, 0, 1, 4, 3, 0, 0, 1, 2, 4, 0, 0, 0, 2, 1, 4, 4, 0, 1, 2, 4, 4, 2, 3, 2, 0, 1, 4, 0, 2, 1, 1, 0, 2, 2, 1, 3, 2, 0, 1, 3, 3, 3, 3, 0, 3, 0, 3, 4, 1, 1, 0, 1, 0, 0, 3, 0, 1, 0, 2, 1, 0, 2, 3, 4, 0, 1, 4, 0, 0, 4, 4, 4, 2, 1, 1, 4, 1, 2, 3, 1, 0, 2, 4, 3, 2, 2, 3, 2, 4, 0, 3, 1, 2, 1, 2, 0, 1, 1, 2, 4, 0, 4, 4, 4, 2, 3, 1, 4, 0, 1, 4, 0, 2, 3, 4, 1, 4, 1, 4, 0, 1, 3, 4, 2, 0, 1, 0, 0, 1, 0, 2, 1, 3, 0, 1, 3, 4, 3, 3, 4, 4, 1, 2, 3, 0, 2, 2, 1, 2, 3, 4, 3, 4, 0, 4, 4, 1, 0, 1, 1, 3, 2, 3, 0, 3, 3, 0, 2, 4, 4, 3, 1, 0]
pubkeycol1025 = [4, 2, 1, 0, 3, 4, 3, 1, 3, 2, 2, 3, 2, 2, 0, 1, 2, 3, 3, 3, 1, 3, 1, 4, 2, 4, 1, 2, 1, 1, 3, 0, 2, 4, 2, 1, 3, 0, 0, 4, 2, 2, 1, 4, 1, 3, 3, 3, 4, 4, 4, 2, 4, 2, 1, 4, 0, 0, 2, 2, 0, 4, 4, 2, 1, 4, 3, 4, 0, 3, 0, 0, 1, 4, 2, 0, 0, 0, 3, 1, 3, 3, 2, 4, 2, 0, 1, 0, 1, 0, 0, 4, 3, 0, 4, 4, 4, 1, 1, 0, 2, 3, 0, 0, 3, 2, 4, 1, 1, 4, 0, 1, 0, 2, 2, 3, 2, 3, 1, 3, 4, 4, 3, 1, 2, 0, 4, 4, 2, 1, 1, 0, 0, 1, 0, 3, 1, 3, 0, 1, 1, 3, 3, 2, 0, 1, 2, 2, 2, 4, 4, 4, 2, 1, 2, 1, 1, 2, 0, 0, 3, 4, 1, 3, 3, 3, 0, 0, 2, 1, 4, 1, 3, 2, 1, 0, 1, 4, 1, 4, 0, 3, 0, 2, 4, 3, 3, 4, 1, 3, 2, 0, 4, 1, 3, 3, 3, 2, 1, 2, 4, 1, 2, 4, 0, 1, 4, 4, 3, 2, 1, 4, 2, 4, 2, 4, 4, 2, 1, 2, 4, 0, 3, 0, 3, 2, 4, 0, 4, 1, 1, 2, 2, 2, 3, 4, 2, 1, 4, 4, 2, 1, 4, 2, 0, 2, 0, 4, 3, 1, 1, 0, 0, 1, 4, 4, 4, 2, 1, 1, 0, 3, 4, 1, 0, 4, 1, 0, 2, 3, 4, 1, 4, 3, 2, 0, 3, 0, 0, 3, 2, 2, 2, 3, 0, 2, 2, 4, 2, 2, 3, 0, 0, 0, 1, 1, 4, 1, 3, 0, 4, 4, 3, 3, 1, 4, 4, 2, 0, 0, 2, 3, 4, 3, 1, 1, 4, 3, 1, 1, 0, 0, 3, 4, 4, 3, 4, 1, 3, 2, 3, 0, 2, 0, 4, 2, 1, 2, 3, 3, 2, 1, 0, 0, 3, 1, 3, 1, 1, 1, 1, 0, 2, 0, 1, 2, 3, 3, 0, 3, 1, 1, 2, 1, 2, 4, 3, 4, 2, 3, 2, 2, 3, 0, 0, 0, 4, 0, 1, 0, 1, 4, 3, 1, 3, 1, 2, 0, 1, 0, 4, 0, 3, 2, 3, 3, 3, 1, 3, 2, 1, 4, 1, 2, 1, 0, 3, 2, 0, 3, 2, 2, 0, 4, 1, 3, 0, 2, 2, 0, 4, 4, 3, 2, 2, 1, 1, 3, 2, 0, 1, 1, 4, 4, 0, 4, 1, 0, 1, 3, 2, 0, 4, 0, 4, 3, 1, 4, 1, 0, 2, 0, 3, 2, 2, 0, 4, 2, 2, 1, 2, 3, 0, 1, 1, 4, 2, 0, 2, 4, 3, 4, 3, 3, 1, 2, 3, 3, 1, 3, 3, 3, 0, 4, 1, 1, 3, 1, 4, 2, 4, 3, 0, 2, 4, 4, 1, 4, 3, 2, 4, 4, 1, 4, 4]
pubkeycol1026 = [1, 0, 3, 2, 1, 2, 1, 1, 4, 3, 3, 2, 1, 2, 0, 4, 1, 3, 2, 1, 2, 2, 3, 2, 3, 4, 4, 2, 1, 4, 3, 0, 4, 4, 0, 4, 0, 2, 2, 2, 3, 2, 0, 3, 2, 4, 1, 0, 4, 1, 2, 2, 1, 2, 1, 3, 0, 4, 4, 4, 0, 1, 2, 1, 0, 4, 3, 2, 1, 2, 1, 3, 1, 2, 3, 0, 4, 1, 4, 4, 1, 2, 2, 2, 0, 0, 3, 4, 1, 2, 1, 3, 4, 4, 4, 4, 4, 0, 3, 3, 4, 0, 2, 0, 0, 2, 4, 2, 4, 3, 3, 1, 1, 4, 4, 3, 3, 3, 2, 2, 0, 4, 0, 3, 1, 3, 2, 3, 2, 4, 3, 3, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 4, 0, 1, 0, 0, 2, 3, 0, 2, 3, 1, 4, 0, 2, 0, 2, 2, 2, 0, 0, 3, 0, 1, 4, 1, 0, 0, 1, 0, 2, 1, 3, 3, 1, 0, 2, 2, 0, 1, 4, 2, 1, 4, 0, 1, 3, 1, 1, 3, 2, 3, 2, 3, 2, 2, 3, 0, 1, 3, 3, 1, 3, 0, 1, 0, 4, 1, 4, 3, 4, 0, 4, 1, 1, 4, 2, 2, 0, 4, 2, 3, 2, 3, 2, 0, 0, 3, 1, 4, 2, 4, 0, 3, 4, 4, 3, 2, 2, 0, 1, 2, 1, 2, 3, 3, 2, 4, 3, 3, 3, 2, 1, 4, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 3, 0, 1, 3, 1, 1, 3, 4, 4, 0, 1, 1, 2, 2, 4, 0, 1, 2, 1, 2, 1, 1, 2, 2, 3, 3, 2, 4, 1, 1, 3, 1, 1, 0, 1, 0, 4, 0, 4, 4, 2, 1, 3, 3, 2, 3, 4, 1, 3, 2, 4, 3, 1, 0, 1, 0, 0, 2, 2, 3, 2, 1, 1, 3, 1, 4, 0, 4, 0, 0, 4, 3, 3, 0, 2, 4, 0, 1, 2, 1, 1, 3, 3, 2, 4, 3, 0, 2, 4, 0, 4, 1, 1, 2, 3, 0, 4, 0, 0, 2, 2, 3, 0, 1, 4, 3, 4, 0, 0, 2, 2, 4, 3, 3, 1, 1, 0, 4, 4, 1, 1, 4, 4, 4, 1, 1, 4, 4, 2, 0, 2, 2, 4, 4, 0, 1, 3, 1, 4, 4, 4, 2, 4, 3, 4, 3, 1, 4, 1, 3, 0, 4, 3, 2, 4, 4, 1, 0, 3, 0, 0, 0, 2, 1, 3, 4, 4, 4, 1, 4, 2, 4, 2, 2, 1, 0, 1, 0, 1, 2, 4, 4, 2, 3, 0, 1, 1, 0, 1, 1, 1, 3, 4, 2, 1, 2, 4, 4, 0, 1, 2, 0, 4, 4, 0, 1, 4, 2, 4, 0, 0, 4, 4, 2, 3, 0, 4, 2, 2, 4, 2, 4, 1, 2, 1, 2, 2, 0, 3, 3, 4, 1, 0, 0, 0, 0, 1, 1]
pubkeycol1027 = [4, 3, 3, 0, 4, 4, 4, 3, 0, 3, 4, 3, 2, 1, 1, 4, 0, 0, 4, 2, 0, 2, 4, 1, 1, 0, 0, 3, 1, 4, 2, 0, 0, 0, 3, 0, 1, 3, 2, 1, 0, 2, 2, 3, 3, 0, 0, 1, 4, 3, 3, 4, 0, 3, 4, 0, 2, 0, 1, 3, 3, 4, 1, 1, 3, 3, 3, 1, 2, 3, 1, 4, 4, 1, 1, 1, 2, 4, 4, 0, 1, 1, 0, 4, 4, 3, 3, 4, 2, 0, 3, 1, 4, 0, 1, 4, 0, 0, 3, 3, 3, 0, 3, 1, 3, 1, 2, 2, 4, 0, 4, 0, 2, 0, 2, 2, 3, 2, 0, 2, 4, 3, 1, 2, 4, 2, 2, 2, 0, 4, 2, 1, 0, 2, 4, 3, 1, 0, 2, 3, 2, 4, 4, 1, 2, 1, 4, 3, 2, 2, 4, 0, 4, 4, 2, 0, 1, 2, 4, 0, 4, 1, 0, 1, 3, 3, 2, 4, 0, 0, 0, 0, 1, 2, 2, 2, 3, 4, 4, 4, 4, 2, 1, 2, 4, 0, 0, 2, 3, 1, 4, 0, 3, 1, 2, 4, 0, 2, 1, 0, 0, 3, 4, 4, 1, 3, 4, 3, 3, 2, 4, 2, 3, 0, 4, 4, 0, 4, 4, 1, 4, 4, 3, 0, 0, 1, 4, 3, 4, 4, 4, 2, 1, 3, 0, 0, 3, 0, 3, 0, 1, 3, 1, 4, 4, 2, 4, 2, 1, 1, 3, 1, 4, 2, 3, 4, 0, 4, 0, 2, 2, 2, 3, 4, 0, 4, 0, 0, 3, 1, 3, 2, 4, 3, 3, 0, 3, 3, 0, 0, 4, 2, 4, 3, 1, 0, 3, 2, 1, 4, 1, 0, 0, 1, 3, 3, 3, 2, 3, 2, 0, 3, 4, 3, 1, 4, 3, 2, 3, 0, 0, 3, 2, 4, 2, 2, 1, 1, 0, 2, 2, 1, 1, 4, 4, 2, 0, 2, 2, 1, 0, 1, 4, 4, 0, 0, 0, 1, 1, 1, 4, 2, 3, 4, 4, 1, 2, 3, 2, 2, 1, 2, 1, 2, 0, 3, 4, 1, 3, 4, 4, 3, 2, 0, 3, 1, 2, 3, 3, 3, 1, 3, 2, 4, 1, 0, 1, 4, 2, 1, 0, 2, 3, 0, 4, 0, 1, 1, 3, 0, 2, 2, 4, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 3, 4, 0, 4, 3, 3, 1, 3, 4, 2, 2, 0, 2, 3, 0, 1, 1, 2, 0, 0, 3, 4, 4, 0, 0, 0, 4, 0, 2, 3, 4, 0, 1, 1, 3, 0, 4, 0, 1, 2, 0, 4, 0, 4, 0, 0, 1, 4, 4, 0, 4, 2, 0, 1, 0, 2, 1, 4, 1, 0, 1, 4, 4, 2, 3, 4, 0, 4, 1, 1, 4, 3, 4, 4, 1, 2, 2, 2, 1, 1, 0, 2, 3, 2, 3, 3, 2, 3, 4, 4, 2, 2, 4, 4, 0, 2, 1, 4, 1, 1, 2]
pubkeycol1028 = [2, 2, 4, 0, 0, 3, 1, 4, 1, 0, 1, 2, 3, 3, 2, 3, 2, 3, 1, 2, 3, 4, 0, 3, 4, 4, 0, 3, 1, 0, 4, 2, 0, 4, 4, 0, 2, 1, 3, 2, 2, 0, 3, 1, 4, 1, 0, 1, 0, 4, 2, 0, 1, 1, 2, 2, 2, 3, 3, 4, 3, 2, 2, 1, 3, 3, 4, 4, 0, 1, 4, 0, 4, 1, 4, 1, 0, 0, 4, 2, 0, 3, 1, 3, 4, 2, 4, 2, 0, 3, 2, 3, 0, 1, 3, 1, 2, 2, 2, 1, 2, 2, 4, 0, 4, 2, 3, 1, 2, 2, 0, 0, 2, 1, 3, 2, 0, 4, 1, 0, 1, 2, 3, 2, 0, 2, 4, 4, 3, 2, 0, 2, 3, 0, 4, 1, 0, 4, 0, 0, 1, 0, 1, 2, 1, 2, 3, 2, 4, 2, 3, 1, 3, 0, 0, 0, 2, 1, 3, 2, 0, 0, 0, 0, 0, 1, 3, 1, 1, 0, 2, 3, 2, 1, 1, 0, 0, 0, 0, 4, 1, 1, 1, 1, 0, 1, 2, 2, 4, 4, 4, 4, 3, 3, 2, 4, 1, 4, 2, 1, 1, 4, 2, 3, 3, 0, 1, 4, 0, 3, 2, 0, 2, 1, 2, 0, 1, 1, 1, 4, 0, 0, 3, 1, 2, 4, 4, 3, 2, 2, 4, 4, 4, 2, 1, 4, 1, 1, 0, 4, 0, 4, 4, 0, 4, 0, 4, 3, 3, 3, 1, 4, 1, 3, 0, 0, 4, 3, 2, 4, 4, 3, 3, 1, 2, 2, 0, 3, 1, 0, 3, 0, 4, 1, 4, 2, 3, 1, 2, 1, 3, 1, 2, 1, 0, 0, 0, 3, 0, 0, 1, 3, 0, 1, 1, 3, 3, 1, 3, 4, 2, 1, 3, 3, 4, 1, 4, 4, 1, 0, 0, 3, 1, 4, 4, 2, 0, 2, 2, 0, 4, 0, 3, 0, 3, 2, 3, 0, 0, 3, 3, 3, 1, 0, 3, 2, 3, 3, 2, 1, 3, 2, 4, 4, 2, 2, 0, 3, 3, 3, 0, 2, 1, 1, 3, 0, 1, 1, 2, 3, 0, 2, 3, 4, 0, 3, 3, 0, 1, 2, 4, 2, 0, 1, 4, 1, 4, 2, 3, 3, 0, 3, 2, 3, 3, 2, 4, 2, 2, 2, 2, 4, 3, 2, 2, 4, 0, 3, 4, 1, 4, 1, 2, 3, 2, 4, 2, 3, 1, 2, 2, 1, 2, 1, 2, 0, 1, 3, 3, 0, 2, 0, 3, 1, 0, 3, 4, 1, 2, 2, 1, 1, 2, 0, 3, 0, 4, 3, 2, 3, 4, 1, 2, 1, 1, 3, 3, 0, 1, 1, 4, 3, 2, 3, 1, 2, 1, 0, 0, 0, 4, 4, 2, 4, 1, 2, 0, 3, 2, 0, 2, 2, 1, 3, 0, 4, 4, 4, 3, 2, 4, 4, 4, 4, 2, 4, 4, 3, 3, 2, 2, 2, 0, 1, 2, 2, 2, 4, 4, 2, 0, 4, 4, 0, 4]
pubkeycol1029 = [2, 1, 1, 0, 3, 4, 2, 0, 1, 1, 0, 1, 3, 0, 0, 4, 4, 4, 3, 4, 3, 1, 0, 2, 3, 4, 4, 2, 0, 3, 4, 0, 2, 0, 3, 4, 4, 0, 3, 3, 1, 3, 1, 1, 1, 1, 2, 0, 4, 2, 3, 4, 1, 1, 1, 4, 1, 1, 1, 2, 4, 4, 3, 2, 1, 3, 2, 2, 0, 1, 0, 2, 1, 2, 0, 4, 0, 4, 4, 0, 2, 2, 4, 0, 4, 4, 2, 4, 2, 2, 2, 2, 4, 0, 1, 0, 0, 1, 2, 1, 2, 4, 2, 3, 2, 3, 2, 1, 2, 3, 4, 4, 0, 0, 3, 0, 0, 1, 3, 3, 4, 3, 4, 3, 2, 1, 2, 1, 2, 1, 4, 4, 1, 0, 2, 3, 4, 1, 1, 2, 4, 3, 1, 1, 3, 4, 3, 1, 2, 3, 0, 2, 4, 4, 1, 0, 4, 0, 4, 3, 3, 2, 0, 1, 2, 1, 0, 1, 1, 3, 0, 4, 1, 3, 1, 3, 3, 2, 3, 3, 0, 1, 4, 0, 0, 0, 3, 3, 1, 3, 1, 4, 2, 4, 0, 2, 3, 4, 2, 1, 4, 2, 4, 0, 2, 3, 3, 2, 2, 0, 1, 4, 3, 2, 4, 0, 4, 1, 3, 0, 1, 2, 1, 1, 4, 2, 2, 3, 4, 4, 2, 3, 1, 2, 1, 4, 4, 0, 0, 1, 0, 2, 4, 0, 2, 1, 4, 1, 4, 2, 2, 0, 1, 1, 4, 3, 2, 3, 0, 0, 3, 3, 2, 1, 2, 0, 4, 0, 2, 3, 1, 0, 4, 1, 0, 1, 3, 2, 4, 3, 0, 0, 4, 0, 0, 3, 2, 2, 0, 0, 2, 4, 1, 3, 4, 2, 0, 3, 4, 3, 3, 2, 3, 4, 0, 1, 4, 4, 3, 1, 4, 2, 2, 3, 0, 3, 1, 0, 1, 2, 0, 4, 2, 4, 1, 2, 3, 2, 4, 1, 0, 2, 4, 2, 0, 1, 2, 3, 2, 2, 2, 0, 2, 0, 1, 4, 2, 1, 0, 2, 2, 2, 4, 4, 3, 2, 1, 4, 1, 1, 4, 2, 2, 4, 4, 0, 4, 4, 3, 0, 3, 0, 4, 2, 4, 3, 3, 0, 0, 0, 3, 0, 0, 3, 0, 1, 2, 1, 4, 3, 0, 1, 4, 2, 0, 2, 0, 4, 3, 2, 1, 0, 1, 2, 0, 4, 2, 3, 4, 0, 0, 3, 4, 4, 4, 1, 4, 3, 3, 2, 3, 3, 0, 3, 3, 3, 2, 3, 4, 1, 3, 3, 0, 3, 4, 2, 1, 1, 2, 3, 3, 3, 3, 0, 4, 3, 2, 3, 4, 0, 3, 1, 1, 2, 2, 1, 2, 0, 3, 0, 0, 1, 4, 0, 3, 2, 3, 1, 3, 3, 4, 4, 1, 2, 1, 4, 1, 4, 3, 3, 4, 2, 3, 3, 2, 4, 2, 1, 1, 1, 3, 3, 0, 2, 3, 1, 1, 0, 1, 0, 3, 3, 1, 2, 1]
pubkeycol1030 = [3, 0, 2, 3, 3, 3, 0, 3, 4, 1, 0, 2, 2, 1, 2, 2, 0, 2, 4, 4, 0, 0, 4, 1, 4, 1, 4, 0, 4, 0, 0, 4, 2, 1, 2, 1, 4, 1, 0, 3, 3, 3, 4, 4, 0, 3, 3, 1, 2, 3, 3, 4, 3, 4, 4, 2, 3, 1, 2, 2, 0, 4, 4, 4, 0, 1, 2, 1, 2, 3, 0, 1, 4, 1, 1, 0, 2, 4, 0, 1, 2, 1, 4, 1, 0, 1, 4, 2, 0, 4, 4, 2, 4, 4, 1, 2, 2, 2, 1, 4, 0, 0, 1, 3, 3, 4, 1, 0, 0, 1, 0, 3, 1, 1, 1, 3, 2, 2, 0, 3, 1, 4, 3, 2, 4, 2, 4, 3, 2, 0, 0, 3, 2, 3, 0, 4, 1, 1, 0, 1, 0, 4, 1, 0, 3, 4, 4, 3, 3, 0, 0, 1, 3, 0, 0, 2, 0, 3, 2, 2, 3, 4, 1, 3, 1, 1, 3, 1, 4, 1, 0, 0, 4, 4, 4, 2, 1, 3, 1, 0, 2, 4, 2, 4, 0, 1, 3, 3, 1, 1, 1, 0, 2, 1, 3, 2, 0, 3, 4, 3, 2, 0, 3, 4, 2, 4, 4, 1, 4, 0, 2, 1, 1, 4, 1, 2, 3, 1, 1, 3, 2, 1, 2, 3, 3, 2, 4, 2, 0, 3, 2, 3, 1, 2, 4, 0, 1, 3, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 3, 0, 0, 0, 2, 3, 4, 1, 1, 0, 2, 2, 1, 2, 1, 4, 3, 3, 0, 0, 4, 1, 3, 2, 1, 2, 1, 4, 4, 3, 1, 3, 2, 0, 4, 4, 1, 4, 2, 1, 0, 1, 4, 4, 0, 3, 0, 4, 0, 2, 1, 3, 1, 0, 0, 2, 0, 4, 2, 0, 2, 0, 0, 2, 3, 0, 4, 0, 4, 4, 0, 1, 2, 2, 4, 4, 3, 1, 1, 0, 2, 3, 2, 4, 1, 0, 2, 2, 2, 4, 0, 1, 2, 0, 3, 1, 0, 4, 1, 4, 0, 0, 0, 1, 1, 0, 0, 3, 2, 3, 4, 4, 1, 2, 1, 0, 2, 1, 3, 1, 2, 0, 1, 3, 3, 1, 3, 3, 3, 4, 3, 2, 3, 1, 4, 2, 3, 0, 3, 1, 3, 1, 1, 0, 1, 3, 4, 2, 0, 1, 4, 1, 3, 2, 1, 2, 4, 1, 4, 1, 1, 0, 2, 0, 4, 3, 1, 3, 1, 1, 0, 2, 4, 2, 3, 1, 2, 1, 4, 4, 2, 1, 3, 4, 0, 0, 1, 2, 1, 0, 2, 3, 2, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 2, 4, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 4, 4, 0, 4, 1, 2, 3, 2, 3, 2, 0, 4, 0, 3, 0, 3, 1, 1, 3, 2, 1, 2, 1, 3, 4, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0]
pubkeycol1031 = [3, 3, 3, 0, 0, 2, 4, 2, 0, 1, 0, 0, 4, 2, 1, 4, 1, 2, 4, 3, 1, 3, 0, 1, 3, 4, 2, 1, 3, 4, 0, 2, 3, 1, 2, 0, 1, 2, 4, 4, 2, 1, 2, 2, 2, 4, 1, 3, 3, 3, 3, 4, 3, 3, 4, 2, 0, 4, 3, 0, 4, 2, 1, 3, 1, 3, 2, 4, 3, 2, 2, 2, 2, 0, 3, 0, 4, 2, 4, 3, 2, 2, 2, 4, 1, 0, 0, 0, 0, 3, 0, 3, 2, 3, 3, 3, 4, 3, 2, 4, 2, 0, 0, 0, 2, 3, 4, 3, 0, 1, 3, 0, 3, 2, 3, 0, 4, 2, 4, 2, 0, 1, 2, 4, 0, 2, 1, 2, 3, 2, 1, 2, 4, 0, 3, 3, 0, 1, 4, 4, 3, 4, 1, 2, 4, 0, 0, 2, 4, 4, 2, 4, 4, 3, 0, 1, 1, 4, 0, 1, 2, 3, 3, 1, 2, 2, 0, 3, 4, 3, 2, 1, 4, 3, 3, 2, 3, 1, 3, 1, 2, 2, 3, 4, 4, 1, 2, 1, 2, 3, 2, 2, 0, 1, 2, 3, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 3, 2, 4, 2, 4, 3, 3, 1, 2, 3, 3, 1, 4, 4, 1, 4, 3, 4, 4, 3, 4, 2, 0, 4, 2, 0, 1, 1, 4, 4, 3, 2, 0, 4, 0, 2, 3, 2, 2, 0, 2, 1, 2, 3, 4, 0, 0, 1, 0, 1, 1, 2, 3, 3, 4, 4, 3, 3, 2, 3, 1, 4, 0, 4, 1, 2, 4, 4, 0, 1, 2, 0, 1, 4, 1, 2, 4, 0, 0, 1, 1, 0, 4, 4, 4, 2, 3, 1, 4, 3, 1, 1, 3, 1, 1, 0, 3, 0, 1, 3, 1, 3, 1, 4, 2, 0, 1, 1, 3, 3, 3, 0, 4, 2, 1, 4, 1, 0, 2, 2, 4, 3, 1, 3, 0, 3, 4, 0, 0, 4, 3, 0, 4, 3, 0, 4, 3, 0, 2, 4, 1, 3, 2, 4, 0, 0, 3, 3, 2, 0, 0, 0, 3, 4, 2, 0, 2, 3, 0, 3, 3, 0, 0, 1, 2, 3, 0, 1, 4, 1, 4, 3, 4, 0, 4, 0, 2, 2, 4, 4, 3, 1, 1, 3, 3, 0, 2, 3, 0, 3, 2, 1, 0, 3, 3, 1, 4, 4, 2, 2, 3, 2, 2, 1, 4, 1, 2, 0, 4, 2, 1, 3, 2, 0, 0, 4, 1, 0, 2, 3, 4, 0, 2, 4, 2, 1, 1, 3, 3, 3, 1, 2, 4, 1, 1, 3, 3, 1, 4, 4, 2, 3, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 3, 3, 2, 3, 1, 3, 1, 2, 3, 4, 1, 1, 4, 4, 1, 4, 3, 3, 2, 0, 1, 3, 2, 1, 2, 1, 1, 1, 3, 3, 3, 1, 3, 4, 2, 3, 2, 3, 1, 1, 0, 1, 4, 3, 4, 0, 1]
pubkeycol1032 = [4, 0, 0, 3, 4, 1, 3, 4, 0, 3, 3, 2, 0, 4, 4, 1, 1, 4, 3, 1, 1, 1, 1, 3, 1, 0, 4, 4, 1, 4, 4, 4, 1, 0, 1, 0, 4, 0, 2, 4, 4, 4, 2, 4, 1, 4, 1, 1, 1, 1, 4, 2, 2, 0, 2, 4, 0, 2, 0, 0, 4, 0, 4, 4, 0, 1, 1, 4, 3, 4, 4, 3, 1, 1, 0, 0, 3, 3, 0, 3, 1, 0, 1, 3, 4, 3, 3, 4, 3, 0, 2, 3, 0, 3, 0, 0, 4, 4, 2, 3, 3, 0, 0, 0, 0, 2, 3, 1, 0, 0, 4, 4, 0, 1, 1, 0, 0, 4, 2, 3, 2, 2, 1, 4, 2, 4, 4, 0, 4, 2, 4, 1, 2, 2, 2, 2, 3, 1, 3, 2, 1, 1, 4, 4, 4, 1, 2, 2, 2, 2, 3, 1, 3, 2, 0, 0, 1, 3, 0, 1, 2, 3, 4, 0, 1, 3, 0, 0, 2, 0, 0, 2, 4, 1, 1, 2, 2, 0, 4, 3, 2, 0, 0, 3, 3, 2, 4, 4, 4, 4, 3, 4, 4, 0, 0, 4, 2, 2, 1, 3, 2, 1, 3, 2, 2, 3, 4, 2, 1, 1, 3, 2, 4, 4, 0, 4, 3, 0, 4, 1, 3, 3, 0, 1, 1, 0, 1, 3, 3, 1, 2, 2, 3, 4, 1, 1, 3, 1, 3, 2, 0, 2, 2, 1, 4, 2, 0, 0, 4, 2, 0, 3, 1, 2, 1, 0, 0, 0, 4, 1, 0, 1, 1, 0, 2, 4, 0, 0, 0, 2, 0, 1, 0, 1, 3, 4, 2, 2, 3, 2, 2, 4, 3, 4, 4, 0, 4, 1, 0, 3, 4, 3, 2, 3, 3, 2, 2, 1, 3, 3, 0, 4, 4, 4, 4, 1, 0, 0, 4, 4, 2, 1, 3, 4, 0, 3, 2, 3, 3, 4, 1, 3, 4, 0, 0, 4, 1, 2, 0, 4, 4, 3, 0, 1, 3, 1, 4, 4, 0, 3, 3, 4, 0, 3, 4, 1, 1, 1, 0, 1, 3, 2, 4, 3, 3, 2, 1, 1, 3, 0, 1, 1, 4, 0, 3, 2, 1, 2, 4, 4, 3, 0, 4, 2, 4, 1, 1, 0, 0, 4, 3, 3, 2, 3, 3, 1, 4, 1, 1, 2, 1, 3, 0, 2, 0, 4, 4, 4, 0, 4, 0, 2, 2, 1, 0, 0, 0, 4, 3, 2, 0, 0, 4, 1, 2, 4, 4, 0, 2, 1, 1, 0, 3, 2, 0, 4, 4, 3, 2, 1, 4, 1, 2, 4, 1, 1, 2, 4, 0, 3, 3, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 4, 2, 4, 2, 2, 2, 3, 0, 1, 2, 3, 1, 0, 1, 0, 0, 0, 4, 0, 4, 2, 0, 3, 0, 0, 0, 0, 4, 0, 3, 3, 4, 1, 1, 3, 4, 0, 1, 4, 1, 2, 4, 2, 0, 0, 2, 1, 3, 4, 3, 4, 0, 4]
pubkeycol1033 = [4, 1, 3, 4, 2, 2, 0, 0, 2, 4, 2, 4, 0, 2, 2, 0, 1, 0, 2, 2, 3, 4, 4, 2, 3, 4, 3, 0, 2, 0, 4, 1, 3, 4, 1, 1, 3, 2, 2, 0, 0, 1, 4, 1, 0, 1, 0, 4, 1, 1, 2, 2, 1, 2, 0, 2, 0, 4, 4, 3, 4, 3, 0, 2, 2, 2, 0, 1, 0, 0, 1, 4, 2, 0, 2, 4, 3, 0, 3, 2, 1, 3, 1, 2, 2, 1, 3, 4, 3, 1, 1, 2, 1, 3, 1, 1, 2, 2, 2, 2, 3, 2, 3, 3, 1, 1, 2, 0, 2, 0, 0, 4, 1, 2, 3, 4, 4, 1, 2, 1, 4, 4, 2, 2, 2, 1, 1, 0, 0, 2, 3, 1, 4, 3, 4, 0, 2, 3, 1, 3, 0, 4, 4, 1, 2, 0, 2, 0, 4, 4, 1, 0, 4, 4, 3, 3, 0, 0, 2, 1, 1, 0, 0, 4, 1, 2, 1, 0, 4, 3, 1, 4, 1, 1, 4, 3, 2, 3, 0, 0, 1, 4, 4, 4, 2, 3, 3, 2, 3, 0, 4, 1, 0, 1, 2, 4, 3, 1, 4, 4, 2, 1, 4, 3, 1, 2, 0, 4, 3, 3, 4, 3, 2, 4, 0, 2, 4, 4, 2, 0, 1, 4, 0, 1, 0, 4, 2, 1, 0, 2, 0, 4, 3, 3, 0, 0, 4, 3, 0, 3, 2, 3, 0, 0, 2, 0, 2, 2, 2, 3, 1, 0, 0, 3, 4, 2, 2, 1, 0, 1, 2, 1, 0, 0, 3, 0, 2, 0, 1, 3, 0, 2, 3, 1, 4, 0, 2, 1, 1, 2, 0, 3, 0, 2, 0, 3, 4, 3, 3, 0, 4, 1, 2, 4, 2, 0, 4, 0, 3, 4, 0, 4, 2, 0, 2, 4, 3, 1, 0, 2, 0, 0, 1, 3, 2, 4, 4, 3, 0, 3, 0, 1, 2, 4, 1, 2, 2, 1, 0, 1, 1, 4, 3, 4, 4, 2, 3, 2, 4, 1, 3, 0, 3, 4, 3, 0, 0, 1, 0, 0, 0, 4, 3, 2, 4, 1, 4, 0, 0, 0, 1, 4, 0, 2, 2, 3, 3, 1, 3, 0, 3, 4, 1, 1, 0, 4, 1, 1, 2, 0, 3, 0, 2, 4, 4, 2, 2, 2, 0, 0, 4, 1, 3, 1, 4, 0, 2, 1, 1, 0, 1, 3, 1, 3, 2, 3, 2, 3, 4, 3, 1, 1, 3, 1, 1, 3, 0, 1, 4, 1, 2, 3, 1, 3, 3, 2, 2, 0, 0, 2, 0, 4, 4, 0, 0, 4, 3, 0, 0, 0, 1, 2, 1, 0, 3, 1, 1, 0, 1, 3, 2, 3, 2, 1, 1, 2, 3, 3, 1, 4, 0, 4, 3, 3, 4, 1, 3, 3, 0, 3, 4, 2, 2, 4, 0, 4, 1, 1, 2, 3, 3, 0, 3, 1, 4, 3, 4, 3, 4, 3, 4, 2, 1, 1, 4, 1, 0, 4, 3, 3, 3, 0, 0, 0, 1]
pubkeycol1034 = [0, 1, 2, 3, 4, 2, 1, 4, 2, 1, 2, 0, 0, 3, 1, 2, 4, 2, 3, 3, 3, 0, 3, 3, 4, 2, 4, 4, 1, 4, 3, 1, 0, 1, 0, 4, 4, 2, 1, 3, 3, 2, 4, 0, 3, 3, 4, 3, 0, 4, 4, 1, 1, 1, 4, 2, 4, 2, 3, 3, 4, 3, 3, 2, 0, 1, 2, 1, 0, 1, 1, 3, 0, 4, 1, 2, 1, 3, 1, 2, 2, 4, 4, 0, 1, 4, 1, 2, 4, 3, 0, 4, 4, 0, 1, 0, 1, 3, 3, 4, 2, 1, 1, 4, 4, 0, 3, 1, 0, 1, 4, 4, 1, 3, 3, 3, 3, 0, 1, 3, 2, 4, 0, 4, 1, 3, 2, 2, 1, 4, 0, 0, 1, 2, 0, 1, 0, 4, 4, 1, 3, 0, 0, 4, 4, 2, 1, 0, 2, 4, 2, 0, 2, 1, 2, 3, 2, 2, 1, 1, 1, 1, 3, 2, 1, 0, 3, 0, 0, 3, 2, 0, 3, 0, 4, 1, 1, 2, 0, 1, 0, 0, 3, 4, 0, 0, 3, 3, 1, 4, 4, 2, 1, 1, 0, 4, 1, 0, 1, 4, 4, 1, 3, 2, 2, 3, 3, 3, 2, 4, 4, 0, 1, 1, 3, 4, 2, 1, 2, 4, 0, 4, 2, 2, 4, 2, 3, 0, 2, 1, 1, 3, 1, 3, 2, 2, 1, 1, 3, 4, 4, 0, 2, 0, 0, 4, 2, 4, 0, 3, 1, 1, 1, 2, 4, 4, 2, 0, 3, 4, 1, 3, 0, 3, 3, 2, 4, 4, 1, 1, 3, 3, 3, 0, 3, 4, 4, 0, 4, 4, 2, 1, 0, 2, 3, 0, 3, 1, 0, 0, 1, 0, 4, 4, 3, 1, 3, 1, 2, 4, 3, 1, 3, 1, 0, 4, 2, 3, 0, 0, 4, 2, 2, 1, 3, 3, 3, 3, 0, 4, 2, 0, 2, 0, 4, 2, 2, 4, 0, 0, 3, 4, 2, 0, 3, 2, 0, 1, 2, 0, 3, 1, 1, 1, 4, 3, 1, 4, 2, 1, 2, 4, 1, 1, 0, 4, 2, 2, 0, 4, 0, 1, 0, 0, 0, 2, 0, 1, 4, 2, 2, 1, 3, 3, 1, 4, 3, 0, 1, 4, 0, 3, 1, 2, 4, 3, 2, 1, 1, 1, 3, 3, 0, 1, 1, 4, 3, 4, 1, 1, 3, 0, 0, 0, 1, 0, 1, 2, 3, 4, 2, 0, 1, 1, 0, 0, 2, 3, 1, 4, 1, 1, 4, 4, 1, 2, 0, 1, 4, 1, 3, 3, 2, 3, 1, 4, 2, 4, 4, 4, 0, 3, 1, 2, 2, 0, 0, 3, 2, 2, 0, 2, 2, 4, 3, 4, 4, 1, 4, 0, 4, 2, 4, 3, 0, 0, 3, 3, 4, 3, 3, 2, 4, 2, 4, 1, 1, 1, 0, 1, 2, 1, 0, 2, 3, 2, 4, 4, 2, 2, 4, 4, 4, 4, 3, 3, 4, 4, 2, 4, 4, 3, 0, 3, 3]
pubkeycol1035 = [1, 2, 2, 3, 2, 4, 3, 4, 0, 3, 0, 4, 1, 0, 0, 1, 0, 2, 4, 4, 1, 3, 4, 1, 4, 0, 1, 0, 2, 0, 3, 2, 3, 3, 4, 3, 0, 2, 2, 0, 3, 1, 0, 3, 2, 2, 0, 0, 4, 2, 4, 3, 2, 1, 0, 4, 3, 4, 2, 2, 4, 3, 0, 3, 3, 3, 1, 1, 4, 1, 2, 4, 2, 3, 4, 2, 3, 2, 0, 1, 1, 2, 4, 0, 4, 2, 4, 4, 0, 2, 4, 1, 2, 1, 4, 4, 2, 0, 0, 2, 2, 4, 2, 1, 2, 3, 4, 3, 2, 4, 2, 1, 3, 0, 4, 2, 2, 1, 4, 2, 0, 1, 2, 1, 2, 4, 3, 0, 4, 2, 1, 4, 4, 0, 0, 1, 2, 3, 4, 2, 2, 0, 1, 1, 4, 1, 4, 2, 4, 4, 1, 1, 3, 0, 4, 4, 3, 3, 2, 2, 2, 4, 4, 1, 1, 4, 4, 3, 1, 2, 2, 0, 3, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 4, 2, 4, 0, 1, 2, 3, 1, 4, 2, 2, 2, 4, 0, 1, 1, 4, 3, 4, 3, 1, 0, 4, 1, 1, 3, 1, 2, 0, 3, 4, 1, 3, 2, 4, 1, 4, 2, 4, 3, 3, 1, 0, 1, 0, 4, 2, 0, 4, 2, 2, 3, 4, 1, 0, 4, 4, 4, 3, 4, 0, 0, 3, 0, 4, 3, 1, 0, 2, 3, 4, 0, 1, 3, 4, 2, 4, 2, 1, 4, 4, 1, 1, 0, 0, 4, 1, 4, 4, 3, 4, 2, 0, 0, 3, 3, 3, 2, 2, 0, 2, 3, 0, 2, 3, 4, 3, 0, 0, 1, 2, 4, 1, 3, 4, 1, 4, 2, 1, 4, 0, 1, 2, 0, 1, 2, 4, 2, 2, 3, 0, 4, 0, 2, 0, 0, 3, 0, 0, 4, 2, 2, 0, 2, 0, 2, 4, 3, 1, 0, 0, 0, 4, 0, 1, 3, 1, 0, 4, 0, 2, 1, 3, 4, 4, 2, 4, 0, 2, 4, 2, 3, 0, 1, 1, 1, 3, 1, 3, 3, 2, 4, 0, 2, 2, 2, 4, 2, 2, 1, 4, 0, 3, 0, 0, 0, 4, 2, 0, 3, 4, 3, 3, 1, 3, 0, 2, 3, 3, 2, 2, 2, 2, 4, 4, 1, 2, 4, 1, 0, 3, 2, 1, 3, 0, 0, 0, 2, 3, 3, 4, 0, 4, 1, 0, 3, 0, 4, 0, 3, 0, 4, 3, 1, 4, 0, 1, 3, 4, 0, 1, 1, 0, 1, 1, 1, 3, 3, 2, 4, 3, 0, 4, 0, 0, 4, 2, 0, 2, 0, 3, 2, 1, 4, 0, 4, 4, 1, 3, 4, 4, 1, 4, 4, 4, 4, 0, 2, 4, 3, 2, 0, 0, 3, 4, 2, 1, 3, 4, 3, 4, 1, 1, 2, 1, 1, 0, 4, 0, 2, 3, 2, 1, 3, 2, 0, 1, 1, 4, 2, 0, 3]
pubkeycol1036 = [2, 2, 1, 4, 4, 4, 3, 0, 4, 0, 1, 4, 3, 2, 1, 0, 3, 1, 1, 1, 3, 3, 0, 0, 1, 1, 3, 3, 4, 4, 1, 1, 2, 3, 4, 1, 2, 0, 1, 0, 4, 1, 0, 2, 3, 2, 3, 3, 1, 2, 0, 2, 0, 1, 0, 3, 3, 1, 3, 0, 4, 3, 3, 3, 1, 2, 3, 1, 3, 3, 1, 3, 3, 3, 2, 4, 1, 4, 1, 4, 0, 3, 3, 4, 4, 2, 3, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 4, 4, 3, 3, 3, 1, 1, 1, 0, 3, 2, 0, 2, 4, 1, 4, 4, 2, 2, 1, 3, 3, 1, 1, 4, 1, 2, 2, 3, 4, 1, 1, 1, 0, 1, 0, 1, 2, 4, 3, 1, 1, 2, 3, 1, 2, 4, 0, 1, 3, 3, 3, 3, 2, 2, 0, 4, 0, 4, 3, 4, 4, 2, 4, 4, 3, 3, 3, 3, 0, 1, 4, 3, 2, 0, 2, 0, 1, 0, 0, 1, 2, 3, 1, 0, 3, 4, 0, 3, 1, 4, 2, 1, 0, 0, 4, 0, 1, 4, 3, 1, 0, 0, 0, 3, 0, 0, 4, 3, 2, 0, 4, 1, 0, 4, 1, 2, 3, 3, 4, 0, 3, 3, 3, 4, 2, 1, 1, 3, 1, 1, 1, 4, 3, 0, 2, 4, 4, 3, 4, 4, 1, 1, 2, 3, 0, 1, 4, 2, 1, 0, 4, 2, 2, 4, 2, 0, 0, 4, 4, 1, 3, 4, 4, 0, 0, 0, 3, 1, 4, 4, 2, 2, 2, 4, 0, 0, 4, 2, 3, 4, 2, 4, 4, 4, 2, 4, 0, 4, 2, 4, 4, 4, 4, 0, 4, 4, 2, 0, 4, 1, 3, 3, 2, 3, 0, 3, 1, 2, 4, 4, 3, 3, 0, 2, 1, 0, 2, 0, 4, 0, 3, 3, 2, 1, 4, 1, 3, 0, 4, 3, 1, 0, 1, 4, 4, 3, 1, 4, 1, 0, 4, 0, 4, 3, 0, 1, 4, 1, 2, 2, 0, 1, 4, 3, 2, 3, 2, 4, 2, 2, 4, 3, 4, 4, 1, 2, 1, 0, 2, 1, 4, 0, 4, 4, 1, 3, 1, 2, 0, 0, 0, 1, 1, 3, 4, 2, 4, 0, 1, 4, 3, 0, 1, 1, 0, 4, 0, 1, 3, 2, 2, 4, 1, 0, 3, 0, 4, 2, 0, 2, 3, 3, 2, 0, 1, 4, 2, 3, 1, 3, 3, 3, 0, 0, 1, 3, 4, 4, 3, 0, 2, 1, 4, 0, 2, 3, 2, 1, 3, 1, 0, 3, 1, 3, 4, 1, 2, 2, 3, 2, 3, 4, 3, 0, 0, 0, 0, 3, 4, 1, 1, 3, 1, 3, 0, 1, 1, 0, 0, 0, 4, 1, 4, 4, 3, 4, 1, 0, 3, 1, 4, 2, 0, 2, 0, 3, 1, 4, 1, 1, 2, 4, 1, 0, 3, 3, 1, 0, 2, 2, 1, 2, 3, 2, 2, 1, 2]
pubkeycol1037 = [0, 0, 0, 4, 3, 2, 2, 0, 3, 4, 0, 3, 4, 3, 2, 3, 2, 3, 1, 2, 1, 3, 1, 4, 3, 4, 1, 3, 2, 1, 4, 3, 2, 4, 3, 0, 3, 0, 3, 3, 4, 2, 0, 0, 0, 3, 3, 4, 2, 0, 1, 4, 4, 4, 4, 0, 2, 4, 3, 1, 1, 2, 4, 3, 0, 3, 4, 0, 4, 4, 2, 0, 3, 0, 2, 0, 0, 4, 1, 0, 2, 2, 1, 1, 0, 2, 4, 0, 3, 3, 2, 0, 2, 3, 3, 4, 0, 2, 4, 0, 1, 2, 4, 3, 1, 0, 0, 2, 1, 3, 3, 2, 2, 0, 4, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 4, 2, 2, 2, 3, 2, 0, 1, 0, 3, 1, 1, 1, 0, 0, 4, 2, 4, 1, 4, 3, 4, 3, 4, 1, 3, 4, 3, 4, 3, 4, 1, 1, 4, 2, 4, 2, 4, 0, 2, 2, 4, 3, 4, 1, 1, 2, 0, 1, 1, 4, 3, 3, 3, 0, 4, 0, 4, 3, 0, 3, 3, 0, 0, 3, 1, 1, 4, 4, 2, 0, 4, 1, 2, 3, 0, 1, 0, 1, 3, 3, 2, 3, 4, 0, 2, 0, 3, 3, 4, 0, 3, 1, 2, 4, 2, 1, 3, 2, 2, 0, 0, 2, 3, 3, 4, 3, 1, 1, 0, 2, 1, 0, 1, 1, 4, 3, 1, 4, 3, 1, 4, 1, 4, 1, 0, 1, 0, 0, 1, 3, 0, 1, 0, 2, 3, 2, 2, 1, 4, 4, 3, 4, 0, 4, 0, 4, 4, 3, 2, 0, 3, 0, 3, 3, 0, 3, 1, 2, 2, 1, 3, 0, 1, 3, 2, 3, 2, 3, 1, 0, 0, 0, 3, 4, 3, 0, 3, 2, 0, 0, 1, 4, 1, 2, 2, 3, 1, 1, 2, 4, 4, 3, 0, 4, 1, 1, 3, 2, 3, 1, 3, 0, 0, 3, 4, 3, 2, 3, 0, 4, 2, 2, 1, 2, 2, 4, 3, 0, 0, 2, 3, 0, 1, 1, 1, 1, 3, 1, 3, 2, 2, 1, 0, 1, 4, 4, 4, 1, 4, 1, 3, 2, 2, 2, 1, 3, 1, 2, 4, 1, 1, 4, 1, 3, 2, 3, 4, 2, 3, 4, 0, 2, 0, 4, 3, 2, 2, 1, 0, 3, 3, 4, 3, 2, 2, 2, 2, 2, 4, 3, 3, 2, 3, 1, 0, 2, 1, 4, 3, 2, 1, 3, 0, 4, 0, 0, 4, 4, 2, 3, 0, 1, 4, 3, 3, 1, 2, 4, 3, 4, 2, 4, 4, 4, 0, 2, 4, 2, 4, 2, 4, 3, 0, 0, 3, 1, 4, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 3, 4, 0, 2, 0, 3, 1, 1, 2, 2, 4, 4, 2, 2, 4, 0, 0, 1, 1, 1, 2, 2, 3, 4, 1, 4, 2, 1, 3, 2, 1, 3, 4, 0, 0, 1, 4, 0, 1, 4]
pubkeycol1038 = [4, 2, 0, 1, 3, 4, 3, 3, 4, 3, 0, 0, 0, 4, 4, 1, 1, 0, 2, 1, 0, 4, 1, 1, 3, 0, 0, 3, 4, 3, 0, 4, 1, 3, 4, 4, 3, 1, 0, 1, 4, 1, 2, 0, 4, 1, 2, 2, 2, 1, 4, 1, 0, 3, 3, 3, 1, 3, 2, 3, 0, 2, 1, 3, 1, 0, 4, 0, 3, 3, 0, 0, 3, 4, 2, 2, 4, 4, 2, 3, 1, 1, 4, 4, 4, 0, 1, 3, 0, 0, 1, 3, 2, 4, 1, 2, 2, 4, 4, 4, 0, 0, 3, 0, 4, 2, 2, 0, 3, 3, 4, 0, 3, 0, 2, 4, 3, 3, 4, 0, 3, 4, 1, 3, 3, 4, 4, 3, 3, 1, 4, 4, 3, 2, 4, 3, 0, 3, 2, 2, 4, 0, 3, 0, 3, 3, 2, 2, 3, 3, 0, 1, 1, 0, 0, 4, 1, 1, 1, 4, 2, 3, 4, 1, 1, 2, 3, 0, 2, 4, 1, 4, 3, 0, 4, 1, 1, 1, 1, 2, 4, 1, 3, 4, 3, 2, 1, 2, 1, 3, 1, 3, 1, 2, 0, 3, 3, 0, 3, 4, 0, 0, 4, 0, 2, 0, 1, 4, 4, 2, 2, 0, 2, 2, 0, 0, 1, 3, 0, 3, 0, 1, 4, 0, 3, 3, 1, 4, 3, 3, 3, 4, 1, 0, 4, 0, 2, 0, 1, 2, 3, 0, 4, 1, 4, 3, 1, 4, 2, 1, 1, 2, 1, 2, 2, 2, 3, 0, 1, 0, 1, 2, 0, 4, 4, 1, 2, 0, 3, 1, 2, 3, 1, 4, 0, 2, 1, 0, 1, 3, 1, 0, 1, 3, 2, 2, 2, 1, 1, 4, 2, 4, 1, 3, 2, 1, 1, 2, 0, 3, 3, 4, 2, 3, 1, 2, 4, 4, 4, 2, 2, 2, 3, 0, 0, 2, 3, 1, 2, 0, 4, 1, 0, 0, 2, 3, 1, 3, 1, 2, 4, 2, 0, 1, 2, 4, 2, 0, 3, 2, 2, 1, 0, 4, 3, 3, 2, 0, 3, 1, 0, 2, 1, 3, 0, 4, 1, 3, 2, 4, 2, 4, 1, 2, 2, 2, 4, 0, 0, 4, 2, 1, 4, 0, 3, 0, 4, 0, 4, 2, 4, 1, 4, 3, 2, 3, 3, 2, 0, 1, 3, 2, 0, 1, 4, 3, 3, 0, 2, 1, 1, 4, 1, 3, 3, 3, 4, 0, 1, 0, 1, 2, 3, 2, 2, 2, 1, 0, 0, 4, 3, 2, 4, 2, 3, 3, 4, 1, 3, 4, 2, 1, 0, 1, 0, 1, 4, 1, 4, 1, 4, 2, 2, 3, 4, 3, 1, 1, 0, 2, 2, 3, 2, 0, 3, 1, 1, 0, 2, 2, 2, 0, 1, 2, 3, 3, 1, 3, 4, 4, 4, 2, 2, 3, 4, 4, 2, 1, 3, 3, 0, 4, 0, 4, 1, 3, 4, 0, 1, 3, 1, 4, 4, 0, 0, 2, 3, 2, 1, 1, 0, 2, 3, 3, 2]
pubkeycol1039 = [2, 3, 1, 4, 4, 2, 0, 2, 0, 2, 1, 1, 4, 4, 1, 3, 4, 0, 3, 2, 4, 4, 1, 3, 0, 0, 4, 1, 1, 0, 1, 0, 2, 2, 4, 2, 4, 3, 4, 0, 1, 3, 3, 4, 4, 2, 0, 0, 4, 1, 3, 1, 1, 2, 1, 4, 0, 3, 1, 4, 4, 2, 4, 4, 2, 2, 4, 4, 3, 4, 3, 1, 3, 2, 4, 3, 3, 3, 1, 1, 4, 4, 1, 2, 3, 2, 0, 0, 3, 2, 1, 2, 1, 2, 1, 3, 1, 0, 4, 3, 3, 2, 1, 1, 4, 4, 1, 0, 4, 2, 3, 3, 1, 1, 0, 2, 3, 1, 4, 1, 0, 3, 4, 0, 2, 0, 2, 0, 4, 4, 2, 0, 1, 4, 3, 0, 1, 4, 2, 4, 2, 4, 1, 2, 3, 2, 3, 2, 1, 0, 4, 2, 4, 1, 3, 3, 3, 0, 4, 4, 1, 1, 4, 4, 2, 2, 2, 0, 4, 0, 1, 4, 0, 0, 0, 3, 2, 1, 0, 1, 0, 4, 1, 1, 4, 4, 4, 3, 2, 4, 0, 2, 3, 1, 3, 4, 3, 3, 1, 2, 4, 2, 2, 0, 0, 0, 2, 0, 2, 0, 4, 4, 1, 1, 3, 4, 1, 4, 0, 4, 1, 4, 2, 2, 2, 1, 4, 2, 4, 1, 2, 0, 3, 2, 4, 4, 0, 1, 3, 2, 0, 2, 3, 1, 3, 1, 1, 4, 4, 3, 1, 3, 0, 4, 0, 4, 3, 2, 3, 4, 4, 4, 3, 0, 4, 1, 1, 3, 2, 3, 1, 2, 3, 1, 1, 1, 3, 0, 3, 2, 4, 1, 0, 2, 0, 0, 0, 4, 3, 4, 4, 2, 4, 3, 4, 3, 2, 1, 2, 1, 3, 2, 0, 3, 3, 1, 0, 4, 2, 1, 3, 3, 4, 1, 2, 3, 1, 4, 2, 2, 1, 2, 0, 4, 3, 2, 3, 3, 1, 3, 2, 3, 4, 3, 3, 4, 4, 4, 1, 4, 1, 4, 0, 3, 2, 0, 0, 2, 1, 0, 3, 4, 3, 1, 0, 0, 3, 3, 1, 2, 4, 3, 4, 3, 4, 4, 3, 3, 0, 2, 1, 0, 0, 0, 2, 2, 1, 3, 2, 4, 4, 1, 4, 4, 0, 2, 2, 0, 1, 1, 2, 4, 1, 0, 0, 1, 0, 4, 1, 4, 0, 2, 1, 4, 3, 4, 0, 1, 1, 1, 2, 0, 4, 1, 3, 0, 1, 2, 1, 0, 0, 0, 3, 2, 2, 0, 2, 3, 1, 4, 1, 3, 0, 0, 2, 3, 4, 4, 3, 3, 1, 3, 0, 4, 0, 4, 2, 0, 1, 3, 1, 0, 2, 0, 1, 4, 1, 3, 3, 4, 4, 0, 2, 0, 1, 4, 1, 1, 1, 3, 0, 2, 0, 2, 0, 4, 3, 4, 1, 0, 1, 3, 2, 2, 2, 0, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 0, 0, 1, 4, 4, 0, 1, 4]
pubkeycol1040 = [2, 0, 0, 2, 3, 2, 2, 1, 2, 2, 3, 0, 3, 0, 1, 4, 1, 1, 3, 0, 0, 2, 4, 1, 2, 4, 3, 2, 2, 0, 3, 0, 4, 0, 1, 1, 3, 4, 4, 3, 3, 1, 3, 1, 2, 4, 0, 2, 1, 3, 4, 2, 3, 2, 4, 3, 4, 3, 1, 3, 3, 2, 1, 0, 4, 1, 4, 1, 3, 1, 0, 3, 4, 3, 1, 2, 4, 0, 3, 1, 3, 3, 0, 4, 4, 3, 2, 2, 1, 1, 4, 1, 4, 4, 3, 0, 2, 4, 1, 0, 4, 2, 3, 1, 4, 2, 4, 4, 1, 0, 2, 3, 3, 0, 4, 3, 4, 3, 0, 0, 0, 1, 0, 2, 1, 4, 4, 4, 0, 4, 0, 1, 1, 0, 4, 0, 2, 2, 0, 1, 4, 4, 0, 3, 1, 2, 2, 0, 2, 1, 1, 4, 0, 3, 2, 1, 4, 0, 4, 3, 1, 1, 2, 3, 0, 2, 1, 3, 1, 4, 3, 1, 0, 3, 0, 4, 2, 2, 3, 0, 4, 1, 4, 3, 3, 1, 3, 3, 0, 1, 0, 1, 4, 3, 2, 2, 4, 2, 0, 0, 0, 4, 2, 3, 3, 1, 2, 4, 0, 1, 3, 4, 2, 4, 2, 3, 2, 1, 2, 4, 0, 3, 3, 4, 3, 1, 4, 2, 1, 1, 4, 4, 2, 3, 1, 1, 4, 3, 0, 4, 0, 1, 0, 2, 0, 0, 1, 1, 4, 1, 1, 2, 4, 0, 1, 3, 0, 2, 1, 0, 1, 0, 1, 0, 2, 4, 3, 4, 2, 2, 3, 2, 2, 4, 0, 1, 1, 1, 4, 0, 1, 0, 1, 0, 2, 4, 0, 3, 0, 4, 1, 0, 3, 1, 3, 3, 4, 4, 3, 4, 3, 2, 4, 4, 4, 0, 3, 2, 2, 3, 0, 1, 4, 0, 2, 3, 3, 3, 1, 3, 4, 0, 1, 3, 3, 0, 4, 2, 1, 2, 0, 0, 2, 2, 1, 3, 4, 2, 2, 1, 3, 0, 3, 1, 2, 0, 4, 2, 0, 2, 1, 3, 1, 1, 2, 0, 3, 0, 2, 0, 1, 0, 0, 3, 3, 4, 0, 1, 3, 3, 0, 4, 2, 2, 2, 4, 2, 1, 1, 2, 0, 4, 1, 3, 4, 2, 0, 4, 1, 1, 0, 0, 2, 3, 2, 2, 4, 2, 0, 0, 4, 3, 2, 1, 4, 1, 2, 1, 4, 4, 0, 1, 4, 3, 3, 4, 3, 2, 4, 3, 2, 0, 0, 4, 3, 0, 0, 4, 3, 1, 2, 1, 3, 3, 1, 2, 0, 2, 3, 4, 3, 0, 4, 1, 3, 2, 4, 0, 2, 1, 2, 4, 4, 0, 3, 0, 4, 2, 0, 0, 0, 4, 1, 0, 1, 2, 2, 2, 3, 1, 0, 4, 1, 2, 2, 1, 2, 0, 2, 0, 3, 1, 2, 4, 1, 2, 1, 1, 2, 1, 2, 1, 0, 4, 4, 4, 1, 4, 0, 3, 0, 1, 2, 1, 2]
pubkeycol1041 = [4, 4, 1, 3, 0, 2, 3, 3, 2, 2, 4, 0, 4, 4, 4, 0, 2, 4, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 4, 1, 0, 3, 4, 2, 2, 3, 1, 1, 3, 2, 4, 1, 3, 0, 3, 4, 4, 0, 2, 3, 2, 1, 0, 2, 4, 3, 1, 3, 4, 2, 3, 3, 1, 0, 4, 3, 0, 2, 4, 0, 0, 1, 3, 2, 1, 0, 3, 1, 1, 0, 4, 1, 3, 3, 3, 4, 4, 4, 1, 1, 2, 0, 3, 0, 0, 4, 1, 1, 1, 0, 0, 1, 1, 2, 4, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 1, 0, 1, 1, 1, 2, 3, 4, 3, 1, 1, 0, 2, 1, 1, 0, 1, 3, 3, 1, 0, 3, 0, 4, 4, 0, 3, 3, 4, 2, 2, 1, 4, 2, 3, 2, 2, 3, 1, 2, 1, 1, 0, 1, 3, 3, 4, 3, 2, 2, 2, 0, 3, 4, 4, 0, 3, 0, 2, 4, 1, 2, 4, 1, 4, 3, 0, 3, 0, 3, 2, 3, 3, 0, 4, 1, 3, 4, 2, 1, 2, 2, 4, 1, 1, 2, 4, 1, 3, 2, 3, 2, 2, 4, 2, 4, 4, 0, 2, 2, 1, 4, 2, 1, 4, 4, 1, 0, 1, 3, 0, 4, 2, 3, 1, 0, 3, 2, 1, 1, 2, 2, 1, 1, 3, 4, 4, 1, 1, 4, 4, 0, 1, 4, 1, 2, 3, 1, 2, 3, 4, 4, 3, 0, 0, 0, 2, 2, 1, 2, 0, 4, 0, 2, 1, 1, 1, 2, 0, 2, 3, 3, 0, 1, 2, 4, 0, 0, 0, 3, 2, 0, 4, 3, 0, 0, 3, 4, 2, 2, 3, 0, 1, 2, 0, 0, 0, 1, 1, 4, 1, 1, 2, 1, 0, 2, 2, 3, 3, 1, 2, 1, 4, 4, 2, 2, 0, 4, 3, 0, 4, 2, 3, 4, 2, 2, 2, 4, 3, 1, 1, 3, 3, 3, 2, 4, 2, 3, 3, 0, 2, 0, 0, 2, 4, 1, 1, 3, 3, 0, 2, 1, 1, 2, 4, 3, 2, 0, 4, 1, 1, 2, 0, 0, 3, 1, 4, 2, 1, 3, 2, 0, 4, 1, 4, 0, 2, 2, 4, 2, 2, 1, 3, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 4, 0, 3, 3, 3, 1, 2, 0, 3, 0, 1, 0, 1, 1, 1, 3, 0, 4, 3, 1, 2, 3, 1, 4, 3, 0, 3, 2, 0, 2, 2, 0, 3, 0, 4, 2, 0, 3, 4, 3, 2, 0, 4, 2, 2, 1, 4, 3, 1, 1, 3, 0, 3, 4, 2, 1, 3, 4, 1, 0, 3, 0, 2, 0, 0, 2, 3, 1, 2, 0, 4, 4, 3, 4, 3, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 1, 1, 4, 0, 2, 0, 2, 2, 1, 1, 2, 2, 3, 1, 3, 0, 2, 2, 1, 3, 2]
pubkeycol1042 = [2, 0, 0, 2, 3, 4, 0, 1, 0, 3, 0, 4, 4, 2, 0, 1, 4, 0, 0, 4, 2, 1, 3, 2, 4, 1, 3, 0, 1, 1, 2, 0, 2, 1, 1, 4, 4, 0, 4, 2, 2, 4, 0, 3, 1, 2, 3, 3, 0, 1, 3, 3, 1, 1, 0, 3, 1, 0, 0, 2, 3, 1, 0, 3, 3, 3, 0, 3, 1, 1, 3, 2, 1, 2, 1, 3, 0, 3, 4, 2, 1, 0, 3, 4, 2, 4, 3, 1, 3, 1, 2, 0, 0, 0, 0, 1, 2, 3, 0, 0, 3, 2, 1, 3, 0, 3, 2, 1, 0, 4, 4, 4, 0, 4, 2, 0, 0, 1, 1, 4, 2, 0, 3, 2, 2, 2, 1, 1, 1, 0, 4, 2, 3, 1, 4, 2, 2, 2, 1, 1, 3, 4, 0, 3, 1, 3, 2, 1, 1, 1, 3, 3, 3, 0, 3, 1, 4, 1, 4, 4, 2, 1, 2, 3, 4, 4, 2, 4, 4, 2, 2, 0, 3, 2, 3, 4, 4, 4, 3, 2, 0, 0, 0, 1, 2, 2, 3, 4, 4, 1, 0, 4, 3, 4, 2, 2, 2, 0, 3, 3, 1, 2, 4, 4, 2, 0, 3, 3, 2, 4, 3, 2, 1, 0, 2, 0, 1, 0, 3, 3, 0, 2, 3, 0, 1, 4, 1, 3, 0, 1, 1, 3, 0, 3, 1, 3, 3, 3, 2, 0, 1, 2, 0, 2, 4, 2, 3, 4, 2, 0, 4, 1, 0, 0, 4, 1, 0, 4, 2, 4, 1, 2, 2, 3, 4, 2, 4, 0, 3, 3, 3, 0, 4, 2, 2, 2, 3, 1, 0, 1, 3, 3, 4, 1, 2, 1, 2, 3, 1, 2, 3, 4, 4, 2, 2, 1, 3, 3, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 3, 2, 3, 0, 0, 0, 2, 2, 3, 2, 4, 2, 4, 3, 3, 0, 4, 4, 2, 4, 1, 2, 4, 2, 0, 2, 3, 2, 0, 1, 2, 2, 2, 4, 2, 2, 1, 2, 3, 1, 1, 2, 4, 1, 4, 4, 4, 2, 0, 3, 2, 2, 4, 4, 0, 0, 2, 1, 3, 0, 1, 0, 3, 3, 2, 1, 0, 3, 1, 3, 4, 2, 1, 4, 1, 0, 1, 1, 3, 2, 3, 3, 1, 3, 1, 0, 2, 3, 2, 4, 4, 4, 2, 0, 4, 0, 2, 2, 1, 2, 1, 2, 0, 1, 4, 3, 1, 3, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 4, 2, 3, 3, 4, 2, 3, 3, 2, 0, 4, 0, 2, 4, 4, 1, 0, 4, 1, 0, 3, 0, 3, 2, 2, 0, 0, 4, 0, 0, 1, 3, 3, 3, 4, 4, 3, 0, 2, 3, 1, 0, 3, 0, 3, 2, 1, 3, 4, 1, 1, 3, 3, 2, 3, 0, 4, 1, 1, 0, 3, 3, 4, 1, 3, 2, 4, 1, 1, 1, 0, 4, 4, 0, 1, 1]
pubkeycol1043 = [2, 4, 2, 3, 2, 4, 0, 2, 4, 2, 1, 3, 0, 4, 3, 4, 0, 2, 4, 3, 1, 2, 3, 0, 1, 2, 3, 2, 0, 2, 2, 3, 2, 1, 0, 1, 1, 0, 3, 4, 4, 2, 4, 0, 4, 2, 2, 2, 1, 2, 2, 1, 1, 0, 3, 0, 2, 3, 3, 0, 0, 2, 2, 4, 1, 1, 1, 0, 1, 3, 3, 4, 2, 2, 0, 0, 2, 3, 4, 3, 2, 3, 1, 0, 1, 4, 3, 0, 3, 0, 4, 2, 1, 1, 1, 1, 2, 0, 0, 1, 4, 3, 1, 3, 3, 4, 3, 3, 3, 3, 2, 3, 2, 4, 0, 0, 3, 2, 4, 1, 3, 3, 3, 0, 2, 2, 1, 0, 4, 1, 3, 0, 0, 2, 4, 0, 3, 1, 4, 3, 4, 4, 0, 1, 3, 0, 3, 1, 1, 3, 4, 2, 1, 0, 1, 1, 3, 3, 0, 4, 0, 4, 1, 1, 0, 3, 0, 1, 0, 0, 3, 0, 2, 3, 4, 0, 0, 0, 4, 0, 1, 1, 4, 3, 2, 1, 2, 0, 4, 3, 2, 0, 4, 2, 0, 0, 2, 2, 3, 2, 4, 0, 3, 0, 2, 3, 0, 0, 1, 0, 0, 4, 4, 2, 4, 3, 2, 2, 4, 0, 1, 0, 1, 3, 3, 4, 4, 4, 3, 0, 3, 3, 2, 0, 3, 3, 4, 2, 4, 1, 0, 4, 4, 2, 4, 2, 2, 4, 2, 1, 4, 3, 2, 3, 3, 2, 1, 3, 3, 4, 1, 0, 2, 1, 0, 4, 4, 1, 3, 4, 1, 0, 0, 1, 0, 3, 1, 3, 1, 4, 3, 1, 1, 3, 1, 2, 2, 0, 1, 0, 3, 2, 4, 2, 0, 0, 4, 0, 0, 4, 1, 1, 3, 0, 3, 4, 4, 0, 0, 3, 2, 0, 0, 4, 1, 4, 4, 0, 0, 2, 2, 3, 1, 0, 1, 3, 4, 0, 0, 0, 0, 1, 1, 2, 3, 0, 4, 4, 4, 3, 3, 4, 4, 3, 2, 1, 4, 3, 4, 3, 1, 0, 1, 3, 2, 0, 3, 0, 3, 1, 3, 4, 4, 4, 4, 4, 0, 4, 2, 4, 1, 0, 3, 0, 1, 2, 1, 0, 0, 4, 3, 0, 1, 1, 1, 4, 1, 1, 0, 3, 4, 0, 3, 1, 1, 4, 4, 4, 2, 4, 2, 3, 4, 1, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 3, 4, 0, 4, 2, 4, 1, 2, 2, 1, 0, 0, 4, 0, 4, 0, 1, 2, 0, 0, 0, 3, 4, 4, 3, 1, 3, 1, 0, 2, 1, 2, 1, 2, 3, 3, 1, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 2, 1, 1, 2, 3, 1, 1, 3, 4, 2, 0, 0, 1, 2, 4, 2, 1, 0, 0, 4, 2, 2, 0, 1, 4, 4, 2, 0, 1, 1, 0, 2, 0, 4, 1, 1, 2, 2, 3, 4, 0, 2]
pubkeycol1044 = [2, 4, 3, 2, 0, 2, 1, 0, 3, 2, 0, 1, 1, 4, 3, 4, 3, 2, 0, 4, 4, 3, 2, 1, 1, 3, 3, 1, 3, 1, 1, 4, 3, 0, 4, 4, 1, 4, 1, 0, 0, 3, 3, 1, 2, 4, 0, 0, 4, 1, 0, 4, 4, 4, 0, 4, 2, 2, 4, 0, 0, 1, 2, 2, 4, 4, 0, 1, 0, 4, 0, 2, 3, 3, 3, 3, 4, 1, 3, 4, 4, 2, 2, 4, 3, 2, 1, 0, 0, 3, 3, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 4, 1, 0, 3, 2, 2, 1, 0, 3, 0, 1, 4, 1, 3, 2, 3, 2, 1, 1, 0, 0, 1, 3, 2, 3, 2, 2, 1, 4, 1, 0, 4, 2, 3, 2, 1, 0, 0, 0, 4, 3, 2, 2, 1, 3, 3, 3, 1, 2, 0, 4, 0, 1, 3, 2, 0, 4, 2, 3, 0, 2, 2, 3, 0, 2, 0, 1, 2, 0, 0, 3, 0, 3, 3, 1, 3, 4, 2, 4, 3, 4, 3, 0, 4, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 3, 2, 3, 3, 1, 3, 1, 3, 1, 3, 3, 0, 3, 4, 2, 0, 1, 2, 0, 4, 2, 0, 1, 4, 2, 1, 2, 3, 2, 2, 2, 0, 3, 2, 0, 2, 2, 1, 2, 4, 1, 0, 1, 3, 4, 3, 0, 0, 3, 4, 1, 3, 2, 1, 3, 4, 0, 4, 1, 1, 0, 2, 0, 3, 0, 1, 1, 4, 4, 1, 3, 3, 3, 4, 0, 3, 0, 4, 0, 1, 2, 1, 4, 1, 3, 0, 2, 3, 2, 2, 2, 3, 4, 3, 3, 2, 3, 0, 3, 3, 1, 4, 3, 4, 4, 1, 3, 2, 0, 0, 3, 3, 1, 4, 0, 1, 2, 3, 1, 1, 3, 4, 2, 1, 3, 0, 1, 1, 2, 1, 1, 2, 3, 4, 3, 4, 1, 1, 2, 2, 1, 0, 0, 4, 1, 1, 1, 0, 2, 0, 3, 3, 1, 0, 4, 2, 3, 2, 1, 4, 4, 0, 3, 0, 3, 0, 1, 4, 2, 4, 0, 2, 0, 4, 0, 1, 2, 2, 4, 3, 0, 0, 4, 0, 1, 0, 4, 3, 3, 2, 4, 2, 4, 4, 3, 4, 0, 3, 2, 2, 4, 1, 0, 3, 3, 2, 1, 1, 2, 3, 0, 2, 0, 2, 1, 0, 2, 0, 4, 3, 0, 2, 0, 2, 2, 3, 4, 0, 1, 0, 2, 4, 0, 0, 0, 4, 2, 0, 4, 0, 1, 3, 2, 3, 2, 0, 0, 1, 3, 3, 3, 3, 2, 1, 1, 1, 3, 3, 0, 0, 1, 2, 0, 1, 2, 3, 2, 0, 2, 1, 0, 2, 3, 4, 3, 3, 3, 3, 1, 3, 3, 1, 2, 4, 2, 2, 1, 0, 0, 4, 4]
pubkeycol1045 = [0, 4, 3, 0, 0, 2, 0, 3, 2, 0, 4, 4, 2, 4, 1, 0, 3, 3, 4, 0, 0, 1, 4, 1, 0, 3, 3, 0, 4, 4, 1, 4, 1, 2, 4, 4, 0, 2, 1, 2, 1, 2, 3, 4, 0, 3, 1, 0, 1, 3, 2, 3, 1, 0, 2, 4, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 3, 2, 0, 0, 4, 4, 4, 4, 1, 3, 4, 0, 2, 1, 3, 3, 2, 3, 2, 1, 0, 1, 0, 0, 0, 4, 1, 4, 0, 3, 2, 1, 4, 2, 2, 0, 2, 4, 3, 1, 4, 1, 2, 1, 0, 2, 1, 3, 2, 1, 3, 1, 1, 2, 0, 4, 1, 3, 2, 0, 0, 4, 1, 0, 3, 4, 0, 4, 4, 3, 1, 4, 1, 1, 2, 2, 1, 0, 0, 3, 0, 2, 2, 0, 3, 3, 1, 4, 4, 1, 3, 4, 2, 3, 1, 2, 3, 2, 1, 0, 4, 2, 1, 3, 2, 3, 4, 4, 0, 2, 1, 2, 1, 0, 2, 1, 0, 3, 0, 1, 4, 2, 2, 0, 4, 0, 0, 4, 0, 3, 1, 2, 0, 2, 4, 4, 2, 3, 4, 3, 0, 4, 3, 1, 2, 0, 0, 1, 1, 2, 4, 3, 1, 2, 0, 2, 3, 1, 4, 3, 0, 3, 4, 3, 3, 2, 2, 0, 4, 3, 4, 1, 3, 3, 3, 0, 1, 1, 2, 1, 2, 3, 2, 3, 1, 3, 1, 0, 1, 2, 4, 0, 2, 2, 2, 3, 1, 3, 3, 2, 2, 2, 3, 1, 1, 0, 2, 1, 4, 4, 2, 4, 0, 0, 3, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 3, 4, 0, 1, 3, 0, 1, 1, 4, 1, 4, 1, 2, 4, 0, 0, 3, 2, 4, 3, 4, 1, 4, 4, 1, 0, 3, 4, 4, 0, 3, 4, 0, 2, 2, 4, 1, 2, 0, 0, 1, 4, 1, 3, 2, 3, 1, 1, 0, 4, 2, 4, 2, 1, 2, 1, 0, 1, 2, 3, 1, 4, 1, 1, 0, 1, 1, 1, 0, 4, 1, 1, 0, 4, 4, 3, 1, 0, 2, 4, 4, 3, 4, 0, 1, 1, 3, 3, 0, 3, 4, 4, 1, 1, 0, 0, 4, 1, 1, 3, 2, 0, 1, 2, 2, 3, 2, 1, 0, 0, 3, 3, 1, 4, 1, 2, 4, 3, 0, 1, 2, 1, 3, 4, 3, 1, 0, 1, 4, 2, 2, 2, 0, 4, 1, 1, 4, 2, 0, 1, 0, 3, 3, 3, 2, 0, 2, 4, 1, 3, 3, 4, 0, 3, 2, 2, 0, 2, 2, 3, 4, 1, 1, 4, 2, 1, 3, 4, 2, 4, 2, 3, 0, 0, 3, 2, 3, 1, 3, 1, 0, 0, 2, 3, 1, 0, 4, 0, 3, 1, 0, 3, 0, 1, 1, 2, 0, 1, 0, 0, 4, 3, 1, 4, 0, 0, 3, 2, 4, 1, 1, 1, 1]
pubkeycol1046 = [0, 1, 4, 1, 1, 0, 0, 3, 1, 1, 2, 0, 2, 3, 2, 3, 1, 1, 4, 4, 2, 4, 1, 0, 0, 2, 1, 1, 2, 3, 0, 4, 1, 2, 2, 1, 1, 1, 4, 4, 4, 3, 3, 2, 4, 1, 3, 2, 4, 1, 0, 3, 4, 3, 3, 2, 3, 4, 3, 2, 4, 4, 3, 1, 4, 2, 3, 2, 3, 4, 0, 4, 2, 0, 3, 4, 0, 3, 4, 0, 4, 1, 0, 3, 3, 3, 4, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 4, 1, 3, 2, 2, 1, 0, 2, 3, 2, 1, 2, 0, 3, 2, 2, 3, 4, 0, 4, 3, 2, 0, 3, 2, 1, 0, 2, 0, 1, 3, 2, 0, 2, 2, 4, 1, 1, 1, 0, 4, 1, 1, 0, 3, 1, 2, 2, 4, 3, 3, 1, 1, 0, 4, 1, 0, 3, 2, 0, 1, 1, 0, 0, 4, 1, 1, 0, 1, 4, 2, 2, 2, 1, 4, 4, 0, 0, 2, 2, 2, 2, 4, 1, 4, 2, 3, 4, 4, 2, 3, 0, 0, 1, 4, 1, 0, 4, 3, 2, 2, 3, 2, 2, 0, 3, 2, 4, 0, 4, 2, 1, 3, 2, 4, 3, 2, 3, 2, 4, 0, 1, 2, 2, 4, 1, 3, 2, 4, 3, 3, 4, 1, 3, 1, 4, 3, 4, 1, 1, 4, 3, 1, 0, 3, 3, 1, 4, 0, 3, 4, 0, 1, 3, 1, 3, 0, 1, 3, 3, 4, 1, 3, 0, 1, 2, 2, 3, 4, 1, 2, 2, 1, 4, 3, 4, 3, 4, 1, 3, 1, 2, 1, 0, 0, 2, 2, 3, 0, 2, 4, 1, 1, 0, 4, 3, 4, 1, 0, 0, 0, 3, 3, 1, 3, 1, 1, 0, 4, 2, 0, 1, 0, 2, 1, 4, 2, 4, 3, 4, 1, 0, 0, 0, 0, 3, 4, 2, 4, 3, 3, 4, 4, 4, 4, 2, 2, 3, 2, 2, 3, 4, 4, 0, 0, 1, 4, 2, 1, 1, 0, 4, 4, 1, 4, 3, 2, 3, 0, 4, 0, 3, 3, 3, 0, 0, 3, 4, 4, 3, 0, 1, 3, 2, 3, 4, 3, 3, 1, 0, 4, 0, 1, 0, 4, 3, 0, 0, 2, 1, 2, 3, 0, 1, 1, 1, 2, 4, 1, 4, 3, 1, 4, 1, 1, 3, 1, 4, 1, 2, 1, 2, 4, 4, 1, 2, 3, 2, 4, 3, 2, 1, 4, 3, 1, 1, 3, 1, 3, 2, 3, 4, 1, 3, 1, 4, 4, 4, 1, 4, 3, 4, 4, 2, 2, 4, 0, 4, 0, 3, 3, 1, 2, 3, 3, 1, 1, 0, 3, 4, 3, 0, 4, 0, 3, 2, 2, 2, 4, 2, 4, 4, 2, 4, 3, 2, 1, 0, 0, 3, 2, 4, 1, 4, 2, 4, 1, 0, 2, 2, 0, 4, 0, 3, 1, 4, 3, 0, 3, 1, 2, 4, 1, 0, 2, 4, 2]
pubkeycol1047 = [4, 2, 4, 2, 1, 3, 2, 3, 4, 2, 0, 3, 0, 0, 2, 2, 2, 4, 2, 2, 0, 3, 3, 4, 2, 2, 3, 1, 2, 4, 1, 4, 2, 2, 0, 2, 0, 2, 0, 4, 0, 0, 2, 2, 4, 3, 3, 2, 1, 1, 1, 3, 0, 4, 0, 1, 0, 1, 1, 3, 1, 4, 0, 3, 4, 3, 4, 0, 4, 0, 1, 1, 0, 2, 4, 1, 2, 2, 0, 1, 4, 0, 0, 4, 4, 2, 0, 2, 4, 0, 3, 3, 0, 1, 4, 0, 1, 4, 2, 4, 4, 3, 0, 1, 0, 2, 4, 1, 2, 4, 1, 0, 3, 0, 4, 0, 3, 4, 4, 3, 1, 4, 1, 0, 2, 0, 3, 1, 2, 4, 1, 1, 0, 2, 2, 3, 4, 0, 1, 1, 4, 3, 4, 2, 4, 2, 2, 3, 3, 0, 1, 3, 3, 4, 1, 4, 1, 4, 0, 1, 2, 2, 2, 1, 4, 4, 1, 4, 2, 3, 1, 0, 4, 1, 0, 3, 4, 4, 1, 0, 2, 4, 3, 3, 1, 0, 4, 4, 2, 2, 4, 2, 2, 2, 2, 1, 0, 2, 3, 0, 4, 4, 0, 3, 1, 1, 3, 2, 1, 0, 0, 3, 2, 3, 1, 1, 3, 2, 2, 0, 2, 3, 2, 0, 1, 1, 0, 0, 2, 2, 3, 4, 0, 2, 1, 0, 0, 0, 4, 1, 2, 2, 0, 2, 3, 0, 1, 2, 2, 2, 4, 1, 3, 3, 2, 1, 3, 2, 4, 2, 1, 4, 2, 4, 2, 1, 3, 4, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 3, 3, 0, 4, 1, 3, 2, 0, 4, 3, 0, 1, 2, 3, 4, 3, 3, 0, 3, 3, 3, 0, 2, 4, 2, 4, 1, 3, 3, 0, 1, 4, 4, 1, 3, 1, 1, 3, 0, 1, 2, 4, 4, 0, 1, 0, 3, 4, 4, 4, 3, 4, 0, 4, 0, 3, 4, 4, 0, 1, 1, 3, 2, 1, 0, 4, 1, 0, 4, 1, 1, 2, 3, 4, 1, 3, 4, 1, 1, 4, 3, 4, 4, 3, 1, 3, 3, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 4, 4, 2, 4, 4, 0, 3, 4, 4, 4, 1, 1, 3, 0, 0, 4, 2, 4, 4, 2, 4, 0, 3, 3, 1, 0, 3, 0, 3, 3, 1, 2, 1, 1, 1, 4, 3, 3, 4, 4, 3, 1, 3, 0, 1, 1, 3, 2, 4, 3, 1, 3, 1, 1, 2, 2, 3, 1, 4, 3, 4, 2, 2, 1, 4, 3, 2, 2, 1, 0, 0, 4, 2, 0, 2, 4, 0, 2, 3, 2, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 4, 0, 2, 4, 3, 4, 0, 2, 2, 3, 2, 2, 0, 2, 4, 2, 2, 4, 3, 4, 4, 4, 0, 3, 1, 0, 3, 2, 1, 0, 0, 0, 0, 1, 1, 2, 3, 3]
pubkeycol1048 = [2, 2, 0, 4, 2, 3, 1, 2, 1, 3, 1, 2, 4, 4, 2, 0, 2, 3, 0, 3, 1, 0, 2, 4, 0, 3, 4, 4, 0, 4, 2, 0, 1, 2, 2, 0, 4, 2, 1, 4, 0, 2, 2, 1, 3, 2, 4, 4, 2, 3, 0, 0, 2, 2, 4, 0, 1, 2, 3, 1, 0, 1, 3, 3, 4, 3, 0, 0, 3, 0, 3, 3, 3, 4, 3, 0, 4, 0, 2, 3, 4, 3, 3, 2, 3, 1, 2, 2, 1, 4, 4, 0, 3, 4, 3, 1, 0, 4, 0, 3, 1, 3, 1, 4, 2, 1, 3, 2, 1, 0, 4, 0, 3, 0, 1, 0, 4, 4, 1, 1, 2, 2, 2, 0, 4, 4, 2, 0, 2, 2, 1, 0, 4, 0, 4, 3, 1, 2, 3, 0, 3, 3, 4, 1, 1, 4, 3, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 3, 0, 2, 4, 4, 4, 0, 4, 4, 4, 3, 2, 3, 2, 4, 2, 2, 1, 4, 1, 4, 3, 2, 4, 1, 2, 2, 4, 0, 1, 0, 2, 0, 0, 3, 0, 0, 2, 4, 2, 0, 2, 4, 0, 1, 0, 4, 3, 2, 0, 2, 0, 1, 2, 4, 3, 2, 0, 2, 1, 4, 2, 0, 2, 3, 0, 1, 1, 0, 0, 4, 2, 0, 4, 2, 1, 3, 0, 2, 2, 1, 1, 4, 4, 4, 0, 3, 0, 2, 2, 0, 2, 3, 1, 2, 0, 3, 0, 1, 2, 3, 1, 2, 2, 2, 4, 0, 2, 0, 4, 2, 3, 4, 1, 1, 0, 1, 2, 2, 2, 3, 1, 3, 0, 4, 1, 0, 1, 1, 0, 3, 0, 1, 1, 3, 1, 4, 1, 2, 2, 4, 4, 4, 4, 0, 0, 1, 3, 2, 4, 2, 4, 2, 0, 4, 3, 1, 1, 1, 4, 2, 4, 3, 4, 3, 2, 4, 3, 4, 3, 2, 2, 0, 4, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 4, 2, 4, 3, 4, 1, 0, 1, 3, 1, 4, 0, 1, 0, 1, 3, 4, 2, 2, 4, 0, 2, 3, 1, 4, 1, 3, 3, 2, 3, 3, 1, 4, 0, 1, 4, 1, 1, 4, 4, 4, 3, 0, 0, 0, 4, 0, 2, 4, 1, 4, 2, 4, 1, 3, 4, 3, 3, 1, 3, 2, 0, 2, 0, 4, 1, 2, 3, 1, 2, 1, 2, 4, 3, 0, 0, 2, 3, 4, 3, 3, 0, 0, 0, 1, 3, 2, 2, 4, 1, 1, 4, 1, 4, 2, 2, 0, 2, 0, 1, 2, 4, 4, 3, 4, 2, 0, 4, 3, 4, 1, 1, 1, 2, 1, 1, 3, 4, 3, 0, 2, 1, 1, 2, 4, 4, 2, 1, 2, 3, 0, 4, 4, 4, 0, 3, 4, 3, 1, 2, 2, 2, 3, 0, 2, 3, 0, 2, 3, 2, 0, 2, 2, 4, 4, 2, 4, 0, 3, 1, 0, 0]
pubkeycol1049 = [0, 4, 2, 3, 3, 4, 1, 1, 4, 3, 3, 4, 0, 1, 0, 3, 0, 2, 1, 1, 0, 0, 4, 0, 2, 2, 4, 3, 0, 4, 0, 4, 1, 2, 2, 4, 3, 0, 1, 1, 4, 3, 4, 2, 3, 0, 1, 0, 0, 4, 3, 3, 0, 2, 3, 3, 3, 0, 0, 2, 2, 2, 2, 2, 3, 2, 3, 4, 4, 4, 2, 1, 2, 0, 3, 0, 4, 0, 4, 4, 1, 2, 4, 1, 2, 2, 2, 3, 1, 1, 4, 4, 0, 4, 3, 0, 4, 2, 4, 0, 2, 0, 0, 3, 4, 0, 3, 0, 1, 2, 4, 2, 4, 4, 4, 0, 2, 4, 1, 3, 2, 3, 3, 1, 1, 4, 1, 2, 4, 2, 2, 1, 1, 1, 4, 1, 3, 2, 4, 1, 3, 2, 4, 0, 3, 1, 2, 4, 1, 2, 2, 1, 4, 1, 3, 0, 0, 0, 3, 4, 0, 0, 4, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 3, 3, 3, 4, 1, 2, 2, 4, 2, 0, 2, 1, 1, 3, 1, 4, 3, 3, 1, 3, 1, 1, 3, 2, 4, 3, 4, 2, 1, 1, 3, 4, 0, 3, 3, 2, 2, 3, 0, 0, 3, 4, 0, 0, 0, 3, 2, 3, 0, 3, 1, 3, 4, 0, 4, 3, 0, 4, 2, 0, 0, 3, 1, 3, 3, 4, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 4, 0, 3, 1, 0, 0, 4, 2, 4, 4, 0, 3, 4, 1, 4, 4, 2, 3, 0, 3, 0, 2, 0, 2, 4, 0, 2, 4, 4, 2, 4, 3, 0, 4, 0, 4, 1, 4, 2, 3, 4, 4, 4, 2, 2, 2, 3, 0, 4, 1, 4, 0, 3, 2, 1, 3, 3, 0, 2, 0, 4, 3, 3, 4, 0, 4, 0, 0, 1, 2, 3, 3, 0, 2, 2, 0, 2, 4, 4, 1, 2, 4, 0, 2, 0, 2, 3, 4, 2, 0, 3, 0, 1, 2, 3, 0, 2, 0, 3, 2, 2, 0, 2, 4, 3, 3, 4, 3, 1, 2, 4, 2, 0, 4, 0, 2, 3, 3, 2, 4, 1, 2, 1, 0, 2, 4, 1, 1, 4, 2, 1, 3, 4, 2, 1, 3, 0, 3, 4, 1, 2, 2, 2, 3, 0, 2, 4, 0, 4, 2, 3, 1, 3, 4, 2, 0, 0, 4, 1, 3, 0, 2, 1, 1, 4, 1, 1, 1, 3, 0, 2, 1, 1, 1, 3, 1, 0, 0, 3, 4, 3, 3, 1, 4, 2, 4, 3, 2, 1, 0, 2, 0, 1, 4, 1, 1, 1, 4, 2, 1, 1, 1, 2, 0, 4, 3, 3, 2, 4, 4, 2, 2, 4, 3, 3, 1, 2, 1, 0, 1, 0, 2, 3, 0, 4, 4, 4, 3, 4, 4, 4, 0, 3, 4, 3, 3, 4, 1, 2, 1, 1, 0, 4, 2, 1, 2, 0, 1, 1, 2, 1, 4, 0, 0]
pubkeycol1050 = [0, 3, 3, 2, 3, 4, 2, 3, 1, 4, 3, 4, 0, 1, 4, 3, 0, 2, 0, 4, 3, 4, 3, 1, 0, 2, 1, 2, 2, 0, 2, 3, 0, 4, 1, 2, 3, 0, 2, 2, 0, 2, 0, 4, 0, 3, 1, 4, 4, 4, 4, 4, 3, 3, 1, 3, 4, 2, 3, 4, 4, 4, 4, 0, 2, 0, 0, 0, 1, 3, 0, 3, 1, 4, 4, 2, 4, 2, 4, 3, 0, 2, 3, 1, 0, 3, 4, 1, 2, 0, 0, 3, 0, 1, 4, 2, 4, 0, 3, 2, 4, 3, 1, 0, 0, 0, 1, 0, 0, 4, 2, 2, 3, 3, 0, 2, 4, 3, 0, 1, 1, 3, 2, 1, 2, 0, 4, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 4, 1, 4, 0, 2, 3, 1, 0, 0, 4, 3, 1, 3, 4, 4, 0, 3, 2, 4, 1, 0, 4, 0, 3, 0, 0, 0, 4, 1, 2, 0, 0, 1, 4, 0, 1, 2, 3, 3, 1, 0, 2, 2, 2, 0, 3, 3, 2, 0, 1, 3, 2, 0, 2, 4, 2, 3, 2, 1, 3, 4, 0, 3, 2, 2, 4, 0, 1, 2, 1, 0, 4, 1, 3, 1, 4, 3, 3, 4, 0, 4, 2, 3, 3, 2, 0, 2, 3, 2, 4, 4, 1, 0, 2, 1, 4, 0, 4, 4, 2, 4, 3, 1, 1, 1, 0, 1, 3, 4, 0, 3, 0, 1, 2, 2, 2, 3, 0, 4, 0, 2, 1, 4, 4, 0, 0, 0, 0, 0, 3, 4, 4, 4, 2, 1, 0, 4, 3, 4, 1, 0, 4, 4, 4, 1, 3, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 3, 0, 4, 2, 3, 3, 3, 2, 4, 3, 3, 0, 4, 2, 2, 2, 3, 2, 3, 2, 3, 4, 3, 0, 4, 2, 0, 2, 3, 1, 2, 1, 2, 2, 3, 0, 3, 2, 0, 0, 1, 3, 3, 3, 1, 3, 4, 0, 1, 3, 1, 4, 1, 2, 0, 3, 2, 4, 0, 3, 1, 3, 4, 1, 0, 3, 4, 4, 3, 4, 0, 1, 3, 2, 2, 3, 4, 2, 0, 1, 1, 2, 2, 2, 3, 1, 3, 3, 3, 3, 3, 3, 2, 3, 0, 2, 3, 3, 4, 3, 1, 2, 3, 2, 0, 4, 3, 4, 2, 0, 2, 3, 1, 2, 3, 2, 4, 3, 0, 3, 0, 0, 4, 0, 3, 4, 2, 4, 2, 1, 4, 3, 0, 0, 4, 3, 2, 3, 4, 3, 2, 1, 2, 4, 0, 4, 1, 2, 4, 1, 3, 3, 0, 3, 2, 2, 1, 0, 1, 1, 3, 3, 4, 4, 3, 2, 1, 3, 1, 4, 3, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 4, 4, 4, 2, 2, 1, 3, 4, 2, 2, 0, 0, 3, 2, 2, 1, 2, 0, 4, 4, 3, 3, 3, 1, 0, 0, 0, 1]
pubkeycol1051 = [1, 1, 2, 2, 2, 4, 3, 0, 1, 3, 1, 0, 3, 3, 0, 4, 2, 2, 0, 4, 1, 2, 0, 0, 3, 4, 3, 1, 4, 1, 2, 4, 4, 3, 1, 2, 0, 3, 1, 0, 3, 3, 1, 1, 2, 4, 4, 4, 0, 1, 4, 3, 0, 2, 2, 1, 3, 1, 1, 2, 3, 0, 0, 2, 4, 1, 4, 3, 1, 0, 0, 2, 0, 4, 3, 4, 1, 2, 1, 1, 4, 2, 3, 3, 4, 4, 4, 2, 0, 2, 4, 3, 1, 1, 2, 4, 1, 0, 1, 3, 0, 1, 0, 4, 4, 2, 3, 1, 3, 4, 1, 3, 1, 0, 4, 4, 2, 2, 0, 0, 1, 2, 4, 2, 3, 3, 0, 3, 3, 1, 2, 2, 2, 4, 4, 0, 3, 3, 0, 1, 1, 2, 2, 4, 3, 3, 3, 3, 3, 0, 1, 4, 2, 3, 1, 3, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 4, 1, 1, 3, 3, 0, 0, 2, 4, 4, 4, 2, 0, 3, 1, 0, 1, 4, 3, 0, 2, 2, 3, 2, 2, 2, 0, 1, 1, 0, 4, 1, 3, 0, 0, 4, 4, 2, 2, 2, 0, 3, 1, 1, 1, 4, 1, 1, 3, 1, 4, 4, 0, 4, 1, 0, 1, 2, 1, 3, 0, 3, 1, 3, 2, 4, 3, 1, 3, 4, 1, 4, 0, 3, 3, 4, 3, 4, 3, 0, 1, 4, 0, 1, 3, 3, 1, 2, 2, 2, 2, 4, 2, 4, 0, 2, 4, 1, 4, 3, 3, 4, 3, 3, 0, 0, 2, 2, 1, 2, 3, 4, 3, 3, 0, 3, 4, 1, 0, 0, 1, 2, 3, 3, 1, 0, 3, 4, 0, 1, 0, 2, 4, 1, 2, 2, 0, 4, 1, 2, 4, 4, 4, 2, 1, 2, 1, 1, 0, 1, 2, 4, 1, 2, 2, 2, 1, 3, 1, 4, 2, 3, 1, 4, 4, 0, 2, 1, 1, 4, 1, 1, 2, 2, 3, 0, 0, 1, 4, 3, 1, 1, 4, 1, 4, 1, 3, 1, 4, 3, 4, 2, 3, 4, 4, 3, 4, 1, 2, 0, 4, 4, 1, 3, 3, 3, 0, 1, 0, 3, 1, 3, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 4, 2, 0, 1, 4, 1, 1, 4, 3, 1, 1, 3, 4, 4, 4, 3, 2, 1, 1, 0, 4, 2, 1, 2, 1, 0, 2, 4, 4, 0, 1, 3, 4, 4, 0, 0, 0, 2, 2, 0, 2, 3, 4, 0, 1, 2, 4, 4, 3, 3, 1, 4, 2, 0, 0, 4, 2, 2, 2, 2, 0, 0, 4, 4, 2, 2, 3, 3, 4, 3, 0, 2, 1, 2, 3, 0, 3, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 4, 0, 4, 3, 0, 4, 3, 4, 3, 2, 2, 3, 1, 2, 4, 4, 1, 0, 3, 0, 4, 3, 4, 2, 0, 4, 4, 3, 2]
pubkeycol1052 = [4, 3, 1, 3, 1, 4, 4, 0, 4, 1, 0, 3, 0, 0, 1, 1, 4, 0, 4, 2, 0, 1, 1, 3, 1, 0, 0, 3, 1, 4, 4, 0, 1, 4, 2, 3, 4, 0, 1, 0, 1, 0, 3, 2, 3, 3, 0, 3, 2, 0, 1, 0, 1, 3, 3, 1, 4, 0, 2, 0, 1, 3, 4, 0, 0, 1, 1, 0, 1, 4, 2, 4, 0, 3, 3, 2, 2, 1, 0, 1, 1, 4, 2, 4, 1, 0, 1, 0, 3, 4, 4, 2, 1, 4, 3, 0, 3, 0, 1, 3, 4, 2, 1, 4, 3, 0, 0, 4, 1, 0, 4, 0, 2, 4, 1, 2, 0, 3, 0, 1, 3, 4, 2, 0, 0, 4, 4, 1, 4, 1, 4, 4, 1, 1, 2, 3, 1, 3, 2, 0, 3, 2, 2, 1, 1, 3, 2, 3, 2, 2, 4, 0, 4, 1, 0, 4, 3, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 3, 3, 0, 2, 3, 1, 3, 4, 0, 4, 4, 1, 2, 3, 4, 0, 2, 1, 4, 3, 2, 1, 2, 4, 0, 3, 2, 2, 0, 4, 2, 3, 1, 1, 1, 2, 2, 0, 0, 4, 2, 2, 4, 3, 3, 0, 1, 3, 0, 4, 4, 1, 2, 3, 3, 0, 2, 2, 3, 1, 2, 0, 1, 0, 0, 0, 1, 3, 2, 3, 2, 4, 1, 1, 1, 0, 4, 2, 3, 4, 2, 1, 0, 0, 4, 0, 1, 1, 1, 2, 2, 2, 3, 3, 4, 2, 3, 1, 3, 0, 2, 1, 4, 3, 0, 4, 0, 3, 2, 2, 2, 2, 4, 3, 1, 4, 0, 2, 3, 4, 0, 1, 1, 3, 1, 3, 1, 4, 1, 1, 0, 4, 4, 2, 0, 2, 3, 1, 0, 4, 4, 2, 1, 4, 0, 2, 4, 2, 1, 4, 2, 4, 3, 3, 4, 3, 0, 0, 4, 2, 1, 4, 3, 4, 3, 3, 1, 0, 3, 3, 0, 3, 2, 3, 4, 2, 1, 1, 4, 3, 2, 0, 3, 4, 2, 1, 4, 0, 1, 4, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 4, 4, 1, 4, 2, 1, 2, 2, 2, 3, 3, 0, 2, 2, 0, 1, 2, 0, 4, 1, 1, 4, 0, 1, 0, 1, 0, 3, 3, 1, 3, 2, 0, 4, 3, 3, 3, 3, 0, 3, 2, 1, 0, 4, 1, 3, 1, 2, 2, 0, 2, 2, 3, 3, 2, 0, 2, 3, 0, 1, 3, 1, 0, 3, 0, 3, 4, 2, 3, 0, 3, 2, 0, 1, 0, 2, 3, 3, 3, 1, 3, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 3, 1, 1, 1, 1, 3, 2, 0, 3, 4, 1, 3, 3, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 1, 3, 0, 1, 0, 2, 3, 4, 4, 4, 4, 4, 2, 4, 3, 3, 1]
pubkeycol1053 = [0, 4, 1, 0, 4, 1, 4, 0, 1, 3, 2, 4, 4, 1, 4, 3, 2, 3, 3, 0, 3, 2, 0, 3, 1, 1, 1, 3, 3, 0, 2, 1, 1, 0, 3, 4, 4, 2, 0, 2, 0, 4, 4, 2, 0, 1, 3, 4, 2, 1, 0, 4, 3, 0, 2, 1, 4, 0, 4, 4, 2, 1, 0, 1, 1, 3, 3, 4, 0, 4, 4, 4, 2, 1, 2, 1, 2, 3, 3, 1, 4, 0, 1, 2, 0, 3, 3, 4, 4, 3, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 4, 4, 1, 4, 2, 3, 4, 3, 4, 4, 4, 4, 3, 1, 2, 1, 1, 4, 4, 3, 1, 2, 2, 2, 4, 2, 2, 1, 3, 0, 1, 3, 0, 3, 3, 1, 0, 3, 3, 2, 2, 1, 2, 3, 4, 2, 2, 4, 2, 2, 4, 3, 1, 4, 3, 3, 4, 2, 4, 4, 0, 1, 0, 4, 1, 1, 1, 0, 4, 1, 0, 2, 4, 1, 4, 1, 1, 3, 1, 1, 3, 0, 2, 4, 4, 2, 3, 4, 3, 3, 3, 1, 0, 3, 4, 0, 1, 3, 2, 3, 0, 0, 3, 4, 0, 0, 1, 2, 3, 0, 4, 0, 2, 1, 1, 0, 2, 3, 4, 2, 3, 3, 2, 3, 4, 3, 2, 4, 2, 0, 4, 3, 2, 1, 2, 3, 2, 2, 1, 2, 4, 4, 4, 2, 4, 0, 3, 3, 0, 1, 4, 1, 0, 4, 2, 2, 2, 2, 3, 1, 0, 2, 4, 1, 4, 3, 0, 2, 0, 1, 2, 3, 2, 2, 2, 4, 3, 0, 4, 2, 4, 4, 3, 4, 4, 3, 1, 2, 2, 4, 0, 3, 4, 2, 1, 4, 3, 2, 2, 3, 3, 0, 3, 4, 0, 1, 1, 4, 3, 4, 4, 3, 2, 3, 3, 4, 0, 0, 0, 3, 1, 4, 4, 0, 3, 1, 3, 2, 4, 4, 0, 3, 4, 2, 3, 4, 0, 2, 2, 2, 1, 0, 2, 4, 0, 0, 4, 4, 0, 1, 2, 4, 3, 1, 3, 0, 0, 3, 4, 1, 3, 1, 0, 4, 4, 0, 2, 3, 1, 2, 2, 0, 4, 1, 4, 2, 3, 1, 1, 3, 3, 0, 3, 1, 4, 1, 3, 1, 2, 1, 2, 0, 2, 4, 2, 4, 0, 3, 0, 4, 0, 2, 3, 2, 2, 4, 1, 3, 3, 1, 3, 4, 2, 1, 0, 2, 0, 1, 1, 3, 4, 2, 0, 1, 4, 4, 0, 2, 4, 4, 1, 2, 2, 3, 3, 3, 2, 4, 4, 3, 1, 0, 3, 4, 4, 2, 1, 0, 3, 0, 3, 1, 0, 4, 1, 4, 4, 1, 4, 2, 0, 0, 2, 0, 0, 3, 3, 2, 0, 0, 2, 3, 4, 4, 4, 0, 0, 3, 0, 0, 4, 4, 1, 0, 2, 3, 2, 3, 0, 2, 4, 4, 3, 4, 0, 4, 0, 1, 4, 0, 2, 0, 1, 3, 3]
pubkeycol1054 = [3, 0, 3, 1, 0, 4, 3, 1, 3, 3, 1, 4, 3, 3, 4, 4, 2, 0, 3, 0, 1, 1, 1, 2, 3, 3, 3, 0, 3, 3, 1, 3, 0, 2, 3, 1, 2, 4, 2, 0, 2, 2, 1, 2, 0, 2, 2, 4, 0, 0, 1, 4, 3, 1, 1, 4, 2, 3, 4, 1, 1, 0, 4, 3, 0, 3, 1, 2, 2, 1, 3, 2, 0, 2, 0, 2, 0, 2, 3, 4, 2, 1, 4, 3, 4, 2, 4, 3, 2, 2, 0, 1, 0, 4, 0, 2, 3, 4, 3, 1, 3, 3, 0, 4, 4, 1, 4, 4, 1, 0, 0, 0, 0, 2, 0, 2, 3, 4, 3, 4, 2, 2, 3, 1, 0, 1, 1, 1, 0, 2, 4, 4, 4, 4, 2, 1, 3, 3, 1, 0, 1, 1, 2, 1, 4, 2, 4, 3, 3, 2, 4, 2, 1, 0, 4, 3, 0, 1, 1, 1, 4, 2, 3, 2, 2, 0, 2, 1, 2, 4, 1, 1, 4, 1, 2, 3, 4, 0, 0, 4, 2, 1, 3, 3, 1, 3, 1, 2, 3, 1, 0, 4, 4, 4, 4, 1, 3, 1, 3, 2, 2, 4, 2, 2, 3, 3, 2, 3, 4, 3, 3, 3, 3, 0, 3, 4, 1, 4, 0, 3, 2, 3, 2, 0, 3, 4, 3, 0, 1, 0, 4, 0, 4, 3, 1, 4, 1, 2, 0, 2, 4, 2, 1, 2, 2, 2, 4, 0, 1, 4, 2, 0, 0, 4, 4, 3, 0, 2, 1, 2, 0, 2, 2, 3, 2, 3, 0, 3, 0, 3, 0, 1, 3, 3, 4, 4, 2, 2, 2, 2, 4, 4, 4, 4, 3, 2, 4, 1, 4, 4, 0, 0, 4, 4, 4, 3, 2, 4, 1, 2, 1, 1, 3, 3, 4, 4, 4, 2, 2, 1, 3, 0, 1, 4, 3, 1, 2, 2, 4, 3, 4, 2, 4, 4, 2, 4, 1, 4, 1, 4, 4, 2, 1, 0, 1, 0, 3, 0, 1, 3, 3, 2, 3, 3, 1, 3, 1, 1, 4, 4, 3, 2, 3, 3, 0, 1, 2, 0, 2, 0, 3, 4, 0, 2, 3, 4, 1, 2, 3, 4, 2, 0, 0, 3, 0, 4, 1, 2, 3, 0, 1, 3, 2, 4, 3, 1, 1, 3, 4, 2, 0, 1, 4, 1, 0, 0, 2, 3, 3, 0, 0, 1, 4, 0, 3, 2, 3, 4, 0, 2, 2, 4, 4, 3, 2, 4, 2, 4, 0, 1, 3, 3, 4, 4, 3, 3, 0, 3, 0, 0, 0, 0, 2, 2, 3, 1, 3, 3, 2, 1, 1, 0, 0, 3, 0, 2, 4, 3, 2, 2, 0, 4, 0, 0, 3, 0, 1, 0, 1, 2, 0, 4, 2, 0, 2, 3, 0, 2, 2, 4, 1, 4, 1, 3, 4, 4, 3, 2, 0, 4, 2, 2, 4, 1, 1, 2, 3, 2, 3, 3, 0, 0, 3, 4, 0, 1, 1, 0, 4, 3, 4, 2, 2, 3, 1]
pubkeycol1055 = [1, 2, 2, 3, 3, 3, 1, 1, 4, 2, 1, 0, 2, 4, 1, 3, 2, 3, 1, 3, 0, 3, 4, 0, 1, 3, 0, 0, 4, 3, 2, 4, 0, 0, 1, 1, 1, 4, 0, 1, 3, 4, 0, 4, 1, 1, 0, 2, 3, 1, 2, 3, 1, 1, 3, 3, 1, 2, 2, 1, 3, 2, 3, 0, 0, 4, 2, 3, 2, 1, 3, 3, 3, 4, 3, 4, 2, 1, 1, 3, 1, 2, 2, 0, 2, 4, 4, 1, 0, 2, 3, 1, 0, 3, 1, 4, 2, 3, 4, 1, 3, 0, 1, 1, 2, 2, 3, 2, 4, 1, 1, 1, 4, 3, 4, 2, 3, 2, 3, 1, 4, 2, 1, 1, 3, 2, 2, 3, 2, 4, 1, 1, 1, 0, 1, 0, 2, 2, 2, 4, 4, 1, 0, 2, 1, 1, 2, 0, 1, 3, 3, 1, 2, 3, 4, 4, 3, 1, 0, 4, 3, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 4, 1, 4, 1, 4, 1, 0, 4, 2, 3, 2, 0, 0, 3, 2, 2, 0, 1, 1, 1, 0, 4, 2, 4, 0, 2, 3, 3, 2, 3, 3, 3, 0, 0, 1, 1, 2, 2, 3, 2, 0, 3, 2, 2, 4, 4, 2, 2, 2, 4, 0, 3, 2, 1, 4, 1, 0, 3, 3, 2, 1, 3, 1, 3, 2, 1, 0, 2, 3, 4, 1, 3, 4, 3, 0, 3, 4, 2, 3, 4, 1, 1, 0, 4, 2, 3, 0, 4, 3, 1, 2, 0, 4, 4, 1, 4, 4, 3, 0, 2, 4, 4, 4, 2, 1, 3, 0, 1, 0, 4, 3, 0, 3, 1, 2, 3, 0, 1, 1, 1, 3, 3, 3, 3, 1, 3, 1, 0, 1, 4, 4, 1, 0, 3, 1, 4, 4, 1, 4, 3, 2, 3, 4, 3, 2, 4, 2, 4, 0, 1, 2, 3, 4, 0, 0, 2, 2, 4, 4, 2, 1, 4, 4, 3, 2, 3, 4, 2, 2, 3, 3, 2, 1, 0, 1, 1, 1, 4, 0, 4, 1, 4, 0, 1, 4, 1, 4, 1, 4, 4, 3, 0, 2, 4, 3, 2, 0, 3, 3, 3, 4, 1, 0, 1, 0, 0, 3, 4, 2, 3, 3, 0, 3, 1, 3, 4, 3, 2, 2, 0, 1, 0, 1, 1, 1, 4, 4, 4, 3, 4, 2, 3, 1, 2, 2, 4, 0, 2, 0, 4, 0, 0, 0, 0, 0, 2, 4, 4, 0, 1, 3, 0, 1, 3, 4, 1, 1, 2, 0, 1, 0, 1, 3, 0, 2, 3, 1, 1, 3, 0, 2, 1, 2, 0, 2, 0, 1, 3, 1, 3, 0, 3, 1, 3, 1, 1, 4, 3, 1, 0, 2, 1, 1, 1, 1, 3, 2, 4, 2, 1, 3, 4, 0, 3, 3, 0, 4, 2, 0, 2, 2, 3, 4, 3, 1, 3, 1, 3, 1, 4, 4, 3, 4, 1, 0, 1, 4, 2, 2, 0, 2, 2, 3, 2]
pubkeycol1056 = [2, 4, 4, 1, 4, 4, 2, 0, 4, 3, 3, 4, 4, 0, 1, 4, 2, 1, 4, 1, 3, 1, 3, 4, 1, 2, 4, 0, 2, 4, 4, 3, 1, 0, 4, 3, 1, 0, 3, 4, 4, 4, 4, 1, 0, 3, 4, 4, 3, 1, 4, 1, 4, 2, 4, 2, 0, 2, 1, 1, 1, 2, 0, 1, 4, 3, 1, 2, 0, 0, 0, 0, 1, 4, 2, 3, 3, 3, 3, 4, 0, 3, 4, 1, 4, 3, 1, 1, 1, 3, 2, 0, 3, 3, 4, 4, 2, 1, 3, 1, 4, 3, 2, 3, 4, 2, 4, 4, 0, 1, 4, 4, 4, 3, 2, 4, 3, 0, 4, 2, 3, 3, 4, 2, 3, 0, 4, 3, 0, 0, 0, 3, 1, 0, 3, 4, 2, 0, 4, 4, 3, 2, 4, 4, 2, 3, 1, 3, 2, 2, 2, 1, 2, 0, 0, 4, 3, 3, 1, 3, 2, 4, 4, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 3, 0, 0, 2, 2, 3, 1, 3, 3, 3, 1, 0, 2, 3, 2, 0, 4, 0, 2, 3, 3, 1, 1, 2, 4, 1, 2, 0, 3, 3, 1, 1, 0, 0, 4, 4, 2, 3, 4, 4, 0, 0, 4, 1, 1, 0, 3, 1, 4, 4, 2, 3, 4, 1, 2, 2, 3, 4, 2, 3, 2, 4, 3, 2, 3, 2, 2, 3, 3, 2, 0, 1, 1, 2, 0, 4, 3, 4, 0, 1, 4, 1, 3, 0, 3, 1, 2, 0, 3, 0, 0, 1, 0, 2, 0, 4, 4, 4, 1, 3, 1, 4, 0, 2, 1, 0, 0, 3, 0, 2, 2, 4, 3, 2, 1, 3, 3, 3, 4, 1, 1, 0, 3, 0, 2, 0, 3, 4, 3, 0, 1, 0, 2, 0, 2, 3, 0, 4, 2, 2, 1, 1, 3, 0, 2, 2, 4, 2, 2, 2, 0, 3, 2, 1, 2, 3, 1, 1, 4, 2, 3, 2, 0, 4, 3, 0, 1, 1, 3, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 4, 4, 2, 4, 0, 4, 0, 3, 0, 1, 3, 3, 1, 1, 1, 0, 1, 3, 2, 0, 1, 0, 4, 0, 1, 2, 4, 1, 3, 4, 3, 4, 0, 4, 0, 1, 1, 1, 3, 0, 4, 0, 1, 1, 2, 2, 1, 2, 0, 3, 2, 2, 3, 4, 4, 0, 2, 0, 1, 0, 2, 3, 4, 2, 3, 4, 4, 4, 1, 2, 1, 1, 2, 1, 2, 4, 0, 1, 0, 4, 2, 0, 2, 1, 4, 1, 4, 3, 2, 2, 3, 2, 2, 1, 2, 2, 0, 1, 2, 3, 3, 0, 4, 0, 2, 1, 3, 1, 3, 2, 2, 0, 3, 1, 1, 2, 3, 3, 3, 1, 1, 2, 0, 2, 3, 1, 0, 0, 0, 3, 4, 2, 0, 4, 0, 1, 2, 3, 4, 2, 3, 2, 1, 4, 4, 4, 0, 4, 0]
pubkeycol1057 = [1, 3, 0, 1, 2, 1, 0, 4, 2, 0, 4, 3, 1, 1, 3, 0, 4, 1, 4, 0, 2, 1, 3, 1, 3, 4, 0, 2, 0, 2, 4, 2, 3, 0, 0, 1, 2, 0, 0, 1, 0, 3, 3, 1, 1, 2, 2, 2, 3, 3, 0, 2, 2, 4, 1, 1, 3, 3, 0, 4, 2, 3, 3, 3, 3, 2, 3, 4, 4, 4, 4, 2, 3, 1, 2, 2, 1, 4, 3, 1, 4, 0, 3, 1, 1, 3, 3, 1, 0, 2, 4, 3, 1, 4, 1, 4, 0, 4, 3, 4, 1, 3, 4, 4, 4, 3, 2, 0, 0, 1, 3, 0, 4, 2, 1, 3, 4, 2, 2, 2, 4, 1, 1, 3, 4, 3, 2, 2, 4, 4, 1, 2, 0, 4, 2, 1, 2, 2, 0, 2, 3, 4, 1, 3, 3, 3, 1, 2, 2, 3, 0, 1, 1, 2, 3, 0, 1, 2, 2, 2, 1, 4, 2, 3, 0, 4, 0, 1, 1, 1, 4, 0, 2, 2, 1, 4, 1, 0, 4, 1, 2, 4, 2, 4, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 3, 2, 3, 4, 2, 2, 0, 4, 4, 1, 2, 1, 2, 3, 0, 1, 2, 3, 0, 3, 4, 4, 3, 1, 4, 3, 2, 2, 1, 3, 2, 2, 1, 0, 0, 0, 1, 0, 2, 3, 1, 3, 0, 0, 1, 2, 3, 1, 1, 0, 0, 1, 4, 3, 2, 2, 0, 2, 0, 3, 2, 2, 2, 4, 1, 2, 0, 1, 4, 3, 2, 4, 4, 0, 1, 0, 1, 4, 4, 4, 4, 0, 0, 3, 2, 1, 3, 4, 2, 0, 2, 4, 4, 3, 3, 4, 0, 2, 2, 3, 4, 3, 1, 4, 0, 2, 4, 4, 2, 4, 2, 1, 3, 4, 1, 0, 0, 4, 3, 4, 1, 0, 3, 4, 1, 1, 0, 1, 0, 4, 0, 4, 4, 0, 4, 4, 2, 0, 2, 3, 0, 4, 2, 3, 1, 0, 4, 3, 2, 0, 1, 4, 2, 2, 3, 4, 3, 0, 2, 2, 4, 1, 0, 2, 0, 3, 3, 1, 2, 1, 0, 2, 0, 2, 4, 1, 4, 4, 4, 1, 1, 2, 1, 4, 2, 0, 4, 4, 3, 3, 1, 4, 2, 3, 2, 1, 3, 2, 3, 3, 0, 1, 4, 4, 3, 2, 4, 0, 2, 0, 2, 0, 4, 2, 0, 4, 0, 1, 1, 2, 4, 4, 2, 4, 4, 4, 1, 4, 1, 0, 1, 3, 0, 4, 0, 0, 2, 0, 1, 4, 1, 4, 2, 0, 1, 2, 1, 2, 2, 4, 0, 0, 0, 1, 1, 1, 4, 2, 3, 4, 0, 1, 2, 0, 2, 1, 0, 1, 4, 4, 1, 2, 0, 2, 4, 1, 2, 3, 0, 1, 2, 4, 1, 2, 2, 0, 1, 3, 3, 3, 0, 4, 2, 1, 4, 1, 4, 0, 4, 0, 3, 4, 2, 2, 1, 0, 3, 0, 1]
pubkeycol1058 = [2, 0, 2, 4, 4, 0, 3, 4, 0, 1, 0, 1, 2, 3, 4, 4, 3, 4, 1, 0, 3, 4, 2, 3, 1, 4, 4, 1, 0, 0, 3, 2, 0, 0, 1, 2, 0, 0, 1, 4, 0, 2, 0, 0, 2, 3, 4, 4, 0, 1, 1, 4, 3, 0, 1, 4, 2, 2, 0, 0, 0, 1, 4, 3, 1, 4, 4, 1, 4, 0, 2, 0, 3, 0, 2, 3, 4, 3, 3, 3, 0, 0, 2, 4, 4, 1, 3, 4, 1, 3, 3, 0, 1, 3, 1, 2, 1, 1, 2, 1, 2, 1, 0, 3, 2, 2, 2, 1, 0, 3, 4, 3, 0, 1, 2, 0, 4, 3, 2, 0, 0, 4, 2, 3, 2, 0, 2, 1, 2, 0, 1, 0, 4, 0, 4, 2, 1, 4, 2, 2, 2, 4, 0, 4, 4, 4, 4, 1, 0, 1, 2, 2, 3, 0, 0, 3, 1, 2, 0, 3, 0, 1, 3, 3, 4, 4, 2, 3, 0, 1, 4, 2, 4, 2, 0, 0, 2, 1, 2, 0, 1, 3, 4, 2, 2, 4, 2, 0, 3, 0, 3, 0, 0, 4, 2, 4, 2, 4, 4, 0, 3, 2, 0, 2, 4, 1, 2, 1, 3, 4, 1, 1, 2, 0, 0, 2, 4, 4, 1, 2, 2, 4, 0, 1, 0, 2, 4, 2, 4, 3, 3, 0, 4, 1, 4, 4, 3, 2, 0, 4, 1, 2, 1, 4, 0, 0, 1, 4, 1, 2, 2, 0, 4, 2, 1, 2, 2, 4, 4, 1, 2, 4, 1, 1, 2, 1, 1, 1, 3, 1, 0, 4, 3, 0, 1, 0, 2, 2, 4, 1, 1, 2, 4, 3, 1, 1, 0, 1, 3, 3, 3, 0, 3, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 3, 3, 0, 3, 2, 1, 4, 3, 3, 3, 0, 3, 4, 3, 0, 3, 4, 0, 0, 1, 3, 1, 3, 3, 2, 3, 4, 2, 3, 2, 2, 0, 4, 1, 2, 4, 4, 4, 2, 0, 1, 0, 0, 4, 2, 4, 2, 3, 1, 4, 3, 3, 2, 1, 3, 4, 4, 0, 2, 3, 3, 4, 4, 2, 4, 0, 4, 3, 3, 3, 0, 1, 4, 0, 2, 4, 0, 3, 2, 2, 3, 2, 4, 0, 1, 4, 4, 4, 0, 1, 1, 2, 0, 4, 0, 0, 4, 1, 4, 0, 4, 0, 4, 2, 3, 4, 1, 4, 2, 3, 3, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 3, 1, 4, 1, 2, 4, 4, 3, 4, 3, 4, 4, 2, 3, 4, 1, 4, 2, 1, 3, 0, 0, 2, 0, 3, 3, 0, 4, 3, 1, 2, 0, 2, 2, 4, 4, 3, 0, 0, 0, 0, 3, 3, 1, 0, 3, 4, 1, 3, 1, 2, 1, 2, 0, 0, 1, 2, 4, 1, 3, 0, 1, 4, 0, 1, 2, 1, 1, 0, 1, 3, 1, 0, 2, 4, 4, 0, 2, 1]
pubkeycol1059 = [0, 3, 0, 1, 2, 2, 2, 2, 3, 1, 3, 1, 3, 4, 3, 2, 2, 2, 3, 3, 2, 1, 4, 1, 4, 1, 3, 4, 4, 2, 1, 1, 3, 1, 0, 0, 4, 1, 4, 2, 2, 4, 0, 4, 0, 1, 4, 4, 3, 3, 3, 2, 1, 1, 1, 3, 0, 2, 3, 4, 3, 1, 4, 0, 2, 3, 3, 1, 4, 0, 1, 3, 4, 0, 1, 4, 3, 0, 2, 2, 4, 3, 0, 2, 2, 4, 0, 1, 1, 1, 1, 2, 4, 3, 2, 2, 3, 0, 3, 0, 3, 0, 0, 3, 2, 0, 0, 0, 1, 1, 3, 4, 2, 0, 2, 2, 3, 4, 4, 1, 3, 3, 3, 4, 2, 1, 0, 3, 1, 3, 1, 2, 3, 3, 3, 2, 3, 3, 0, 0, 1, 1, 3, 2, 1, 2, 4, 3, 0, 3, 3, 3, 4, 1, 2, 3, 0, 4, 3, 0, 1, 0, 1, 4, 4, 2, 0, 2, 1, 1, 2, 3, 0, 1, 4, 3, 2, 4, 1, 0, 3, 3, 2, 3, 4, 4, 2, 1, 4, 3, 2, 0, 1, 3, 2, 2, 1, 2, 0, 4, 0, 0, 3, 1, 1, 3, 4, 1, 1, 1, 2, 4, 0, 0, 4, 0, 3, 3, 2, 1, 3, 3, 1, 0, 1, 0, 4, 3, 3, 2, 1, 0, 1, 0, 0, 1, 4, 0, 2, 0, 0, 0, 0, 4, 0, 4, 3, 2, 0, 4, 0, 3, 0, 0, 0, 1, 0, 3, 1, 3, 4, 4, 2, 3, 4, 0, 4, 1, 0, 2, 3, 4, 2, 1, 1, 3, 1, 2, 0, 2, 1, 1, 3, 1, 1, 4, 3, 2, 4, 3, 4, 3, 1, 4, 4, 1, 3, 0, 4, 2, 2, 0, 3, 2, 1, 4, 0, 3, 3, 1, 2, 3, 0, 3, 3, 3, 2, 2, 2, 3, 0, 0, 3, 3, 4, 3, 2, 2, 0, 1, 1, 4, 1, 2, 3, 1, 2, 3, 3, 2, 4, 2, 2, 3, 3, 2, 4, 2, 4, 3, 4, 4, 1, 1, 0, 2, 0, 3, 2, 2, 2, 1, 0, 4, 1, 3, 3, 2, 3, 3, 2, 1, 4, 2, 0, 4, 1, 4, 2, 0, 2, 2, 3, 3, 0, 3, 1, 4, 4, 0, 1, 3, 3, 4, 3, 0, 1, 0, 1, 1, 3, 4, 3, 2, 0, 3, 4, 0, 3, 3, 3, 0, 2, 4, 3, 1, 4, 3, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 4, 2, 1, 3, 0, 0, 2, 3, 0, 2, 2, 3, 2, 1, 3, 3, 1, 3, 0, 1, 4, 4, 0, 0, 0, 3, 3, 4, 2, 4, 2, 1, 1, 0, 0, 2, 4, 0, 1, 4, 1, 0, 2, 2, 2, 1, 3, 0, 4, 1, 2, 1, 3, 3, 4, 4, 3, 3, 2, 3, 3, 3, 2, 1, 2, 3, 2, 0, 0, 0, 1, 1, 3, 3, 0, 0, 0]
pubkeycol1060 = [2, 3, 2, 4, 1, 0, 3, 4, 2, 4, 4, 3, 3, 0, 0, 4, 2, 0, 4, 3, 4, 0, 3, 2, 1, 1, 3, 2, 2, 2, 0, 3, 0, 4, 1, 2, 2, 1, 0, 3, 4, 2, 3, 3, 0, 1, 0, 3, 1, 2, 0, 0, 4, 3, 2, 3, 0, 1, 1, 0, 4, 2, 0, 2, 0, 0, 2, 3, 3, 3, 3, 2, 2, 3, 0, 4, 2, 4, 2, 2, 2, 1, 3, 4, 4, 2, 3, 4, 2, 0, 2, 4, 1, 0, 2, 2, 3, 1, 0, 2, 1, 2, 2, 4, 4, 0, 2, 0, 3, 4, 0, 4, 0, 3, 1, 0, 0, 0, 1, 4, 2, 4, 1, 0, 3, 4, 0, 0, 0, 4, 0, 3, 1, 3, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 4, 2, 4, 3, 0, 0, 4, 0, 3, 3, 3, 4, 1, 0, 1, 0, 1, 4, 1, 0, 3, 3, 0, 0, 4, 2, 4, 1, 3, 3, 0, 1, 3, 1, 0, 3, 3, 4, 4, 0, 0, 0, 2, 2, 3, 2, 1, 3, 4, 0, 0, 1, 4, 4, 3, 1, 3, 0, 2, 4, 3, 0, 3, 1, 3, 2, 0, 1, 2, 2, 1, 1, 0, 4, 2, 0, 1, 0, 1, 0, 3, 0, 0, 1, 2, 1, 4, 3, 2, 3, 4, 1, 2, 2, 3, 1, 1, 1, 0, 1, 3, 4, 3, 2, 3, 0, 1, 1, 0, 1, 0, 0, 0, 3, 4, 2, 3, 2, 4, 4, 1, 0, 4, 4, 3, 3, 1, 3, 2, 3, 4, 1, 1, 3, 3, 2, 1, 0, 2, 0, 0, 2, 0, 4, 3, 3, 4, 3, 3, 3, 1, 3, 2, 2, 3, 4, 4, 2, 4, 4, 3, 0, 1, 1, 2, 3, 0, 0, 0, 1, 0, 4, 3, 2, 2, 4, 4, 0, 0, 4, 3, 0, 4, 1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 0, 4, 4, 3, 4, 4, 4, 3, 1, 2, 0, 1, 2, 3, 1, 0, 1, 3, 3, 1, 1, 2, 3, 4, 4, 2, 4, 1, 0, 4, 2, 1, 4, 0, 2, 2, 3, 2, 0, 4, 3, 0, 0, 3, 1, 3, 0, 3, 0, 4, 2, 1, 2, 4, 0, 3, 2, 0, 4, 0, 0, 2, 0, 2, 3, 4, 1, 2, 4, 1, 4, 4, 1, 3, 2, 2, 2, 4, 0, 4, 0, 0, 4, 3, 3, 4, 3, 1, 4, 1, 3, 4, 2, 0, 3, 3, 4, 3, 3, 1, 0, 0, 0, 3, 4, 1, 0, 1, 2, 0, 4, 2, 3, 3, 1, 3, 3, 2, 4, 3, 1, 0, 4, 3, 2, 3, 1, 1, 3, 0, 0, 0, 0, 4, 0, 2, 4, 2, 2, 2, 4, 3, 1, 2, 0, 2, 4, 3, 2, 0, 1, 1, 0, 3, 1, 2, 2, 2, 4, 4, 1, 2, 2, 3, 0, 0, 0, 1]
pubkeycol1061 = [1, 1, 4, 0, 0, 4, 0, 1, 0, 2, 4, 3, 4, 1, 4, 0, 2, 2, 4, 3, 1, 2, 3, 0, 3, 2, 0, 2, 4, 3, 2, 4, 3, 1, 2, 3, 0, 1, 0, 2, 0, 3, 3, 0, 1, 3, 3, 0, 2, 0, 4, 4, 4, 3, 0, 4, 3, 4, 2, 3, 0, 3, 4, 3, 1, 2, 2, 3, 0, 4, 3, 2, 3, 0, 2, 3, 0, 0, 1, 2, 4, 1, 3, 3, 2, 3, 0, 4, 3, 2, 3, 2, 1, 0, 0, 3, 4, 1, 4, 4, 2, 4, 3, 1, 0, 3, 1, 0, 1, 0, 2, 0, 0, 4, 4, 4, 3, 4, 1, 0, 1, 3, 0, 0, 0, 0, 1, 4, 4, 0, 3, 2, 4, 1, 1, 1, 0, 3, 3, 4, 4, 0, 1, 4, 4, 2, 1, 1, 1, 4, 4, 2, 1, 0, 3, 0, 3, 3, 4, 3, 3, 3, 1, 1, 1, 4, 2, 1, 3, 0, 1, 3, 3, 1, 4, 3, 2, 3, 3, 3, 0, 0, 3, 0, 4, 0, 0, 1, 1, 3, 0, 4, 0, 4, 0, 0, 3, 1, 2, 2, 4, 0, 3, 3, 1, 2, 4, 1, 4, 1, 4, 0, 3, 4, 4, 2, 3, 3, 1, 4, 0, 3, 1, 3, 2, 0, 4, 0, 3, 2, 3, 0, 3, 4, 1, 0, 1, 0, 4, 1, 2, 4, 2, 2, 1, 4, 0, 3, 0, 0, 2, 2, 3, 2, 3, 3, 2, 4, 1, 3, 1, 3, 3, 4, 4, 0, 0, 2, 3, 3, 0, 0, 2, 4, 0, 3, 3, 3, 1, 4, 1, 3, 1, 1, 4, 0, 1, 2, 0, 2, 2, 1, 1, 4, 2, 2, 3, 4, 3, 1, 2, 0, 3, 2, 3, 4, 2, 2, 0, 0, 2, 0, 1, 0, 4, 2, 0, 3, 0, 1, 4, 1, 2, 0, 3, 0, 0, 1, 0, 4, 4, 4, 2, 4, 4, 4, 4, 3, 4, 4, 3, 1, 0, 1, 4, 2, 0, 3, 2, 0, 1, 3, 0, 3, 1, 2, 0, 3, 3, 0, 3, 3, 1, 3, 2, 4, 4, 1, 3, 0, 2, 1, 3, 1, 0, 4, 1, 4, 4, 3, 1, 3, 4, 1, 3, 1, 2, 0, 1, 4, 2, 2, 1, 1, 4, 3, 4, 4, 3, 3, 2, 4, 2, 1, 2, 0, 0, 1, 3, 3, 2, 1, 4, 0, 3, 4, 3, 2, 2, 0, 4, 3, 2, 2, 4, 4, 4, 4, 4, 1, 4, 3, 0, 3, 1, 0, 2, 2, 0, 4, 3, 0, 2, 3, 3, 0, 1, 2, 4, 0, 2, 1, 3, 4, 2, 0, 4, 2, 0, 2, 1, 4, 4, 0, 0, 2, 3, 2, 3, 4, 0, 2, 2, 4, 3, 0, 0, 0, 4, 3, 1, 4, 2, 4, 3, 4, 1, 4, 3, 4, 2, 4, 4, 2, 2, 1, 2, 4, 0, 0, 1, 2, 1, 4, 1]
pubkeycol1062 = [1, 1, 1, 2, 1, 0, 3, 0, 4, 4, 1, 1, 3, 4, 0, 1, 4, 0, 2, 3, 2, 0, 1, 1, 3, 2, 4, 4, 2, 0, 2, 1, 1, 2, 4, 4, 3, 0, 3, 1, 3, 2, 1, 1, 4, 1, 1, 0, 3, 2, 3, 1, 3, 4, 4, 3, 1, 0, 0, 3, 2, 0, 4, 3, 4, 2, 2, 0, 2, 0, 3, 2, 2, 0, 3, 4, 3, 3, 0, 0, 2, 2, 0, 2, 2, 2, 3, 0, 0, 1, 2, 4, 4, 2, 2, 4, 1, 2, 4, 1, 0, 1, 4, 2, 0, 2, 0, 1, 1, 2, 3, 4, 3, 3, 3, 3, 1, 0, 4, 3, 1, 4, 4, 3, 4, 1, 1, 4, 1, 1, 3, 3, 4, 2, 2, 0, 1, 2, 4, 3, 1, 0, 3, 3, 4, 0, 1, 1, 2, 3, 2, 1, 0, 2, 3, 2, 3, 1, 3, 3, 0, 2, 1, 1, 3, 2, 0, 1, 2, 3, 1, 2, 1, 2, 2, 4, 1, 0, 3, 0, 4, 0, 3, 0, 3, 4, 4, 4, 0, 2, 0, 1, 2, 1, 1, 2, 3, 3, 0, 4, 3, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 3, 1, 0, 0, 2, 4, 3, 1, 3, 3, 4, 0, 1, 4, 3, 0, 0, 3, 4, 1, 3, 2, 3, 1, 3, 4, 1, 4, 1, 4, 4, 2, 2, 3, 4, 3, 1, 1, 3, 3, 0, 4, 1, 0, 1, 3, 0, 2, 1, 3, 3, 2, 4, 4, 4, 3, 0, 3, 1, 1, 2, 0, 4, 0, 0, 1, 4, 2, 2, 1, 3, 2, 3, 0, 4, 4, 1, 4, 2, 1, 0, 3, 0, 4, 1, 2, 4, 3, 2, 4, 0, 2, 0, 1, 1, 3, 0, 0, 4, 1, 3, 0, 2, 4, 3, 2, 2, 1, 4, 0, 1, 0, 0, 2, 0, 2, 3, 2, 3, 2, 4, 3, 1, 4, 1, 3, 4, 1, 0, 4, 1, 1, 4, 4, 4, 3, 4, 1, 2, 1, 0, 0, 3, 4, 0, 3, 1, 2, 2, 3, 0, 4, 4, 2, 2, 1, 2, 4, 0, 2, 2, 3, 4, 3, 0, 4, 2, 0, 0, 0, 2, 1, 3, 4, 1, 3, 1, 3, 0, 0, 0, 1, 3, 4, 1, 1, 0, 3, 3, 1, 2, 1, 0, 1, 1, 4, 0, 3, 1, 4, 3, 1, 1, 2, 1, 4, 1, 2, 3, 1, 4, 4, 0, 2, 1, 2, 4, 1, 1, 1, 2, 4, 4, 1, 2, 4, 4, 3, 3, 2, 2, 1, 3, 1, 0, 3, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 3, 4, 4, 4, 1, 0, 4, 1, 2, 4, 3, 3, 1, 3, 3, 4, 2, 2, 2, 4, 1, 1, 0, 3, 1, 3, 4, 0, 0, 3, 1, 4, 2, 1, 1, 0, 1, 2, 3, 1, 4]
pubkeycol1063 = [4, 1, 0, 4, 1, 2, 4, 2, 3, 1, 0, 2, 3, 3, 0, 1, 0, 0, 0, 3, 4, 0, 0, 0, 4, 3, 3, 3, 2, 0, 1, 2, 0, 0, 2, 2, 2, 3, 1, 0, 4, 1, 0, 1, 1, 4, 1, 4, 1, 2, 3, 4, 0, 1, 3, 4, 1, 0, 1, 1, 1, 2, 1, 2, 4, 1, 4, 4, 2, 2, 4, 1, 3, 3, 1, 4, 0, 4, 3, 3, 4, 3, 4, 0, 0, 0, 1, 3, 0, 4, 2, 3, 0, 0, 4, 2, 0, 3, 0, 2, 0, 0, 2, 2, 4, 4, 4, 0, 0, 3, 2, 4, 2, 0, 2, 4, 1, 1, 4, 0, 3, 2, 2, 3, 0, 1, 2, 0, 2, 2, 0, 4, 3, 1, 0, 3, 1, 0, 2, 4, 2, 1, 3, 4, 0, 1, 2, 1, 1, 3, 0, 0, 1, 3, 3, 2, 3, 1, 4, 1, 4, 3, 4, 1, 0, 4, 0, 2, 4, 1, 1, 1, 2, 4, 0, 4, 3, 2, 3, 0, 4, 0, 0, 0, 2, 0, 4, 3, 0, 4, 2, 3, 2, 0, 2, 4, 3, 2, 0, 1, 4, 1, 3, 4, 1, 0, 1, 3, 3, 0, 3, 1, 3, 3, 4, 2, 1, 0, 0, 4, 0, 1, 1, 1, 2, 1, 1, 1, 0, 3, 3, 0, 2, 0, 2, 4, 1, 0, 0, 0, 2, 0, 3, 4, 4, 3, 4, 2, 2, 4, 4, 4, 1, 4, 1, 1, 1, 1, 4, 3, 1, 4, 3, 4, 2, 3, 3, 1, 4, 1, 2, 4, 0, 4, 4, 3, 0, 1, 3, 2, 4, 2, 2, 2, 0, 2, 3, 1, 0, 3, 3, 0, 4, 1, 2, 4, 4, 4, 2, 3, 0, 3, 1, 4, 2, 1, 0, 4, 0, 1, 0, 3, 1, 0, 0, 0, 4, 3, 4, 4, 4, 0, 1, 4, 1, 2, 0, 4, 0, 2, 2, 1, 2, 3, 3, 3, 2, 0, 1, 4, 0, 0, 0, 3, 3, 0, 1, 0, 2, 4, 3, 0, 0, 2, 2, 3, 1, 0, 3, 4, 2, 0, 3, 1, 4, 1, 1, 1, 3, 0, 2, 0, 3, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 3, 4, 0, 2, 4, 2, 3, 2, 2, 1, 0, 4, 2, 2, 2, 4, 0, 1, 1, 3, 2, 4, 1, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 2, 2, 1, 2, 2, 4, 0, 4, 3, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 3, 2, 2, 2, 4, 2, 4, 1, 4, 2, 1, 0, 0, 4, 3, 2, 3, 0, 3, 2, 3, 0, 3, 3, 4, 4, 4, 3, 1, 2, 1, 3, 2, 4, 1, 1, 2, 3, 2, 4, 2, 4, 4, 2, 0, 2, 1, 2, 1, 1, 3, 4, 3, 4, 2, 3, 0, 0, 1, 3, 2, 0, 0, 3, 0, 0, 4]
pubkeycol1064 = [0, 1, 4, 2, 4, 4, 0, 0, 2, 3, 1, 0, 4, 4, 4, 4, 0, 1, 1, 0, 1, 2, 0, 1, 3, 0, 0, 2, 4, 2, 3, 2, 1, 2, 0, 0, 3, 4, 2, 3, 3, 3, 1, 2, 2, 2, 3, 4, 2, 3, 1, 3, 4, 4, 0, 3, 4, 1, 0, 3, 2, 0, 0, 1, 0, 2, 2, 4, 3, 2, 3, 4, 1, 1, 1, 2, 4, 1, 2, 4, 3, 3, 2, 0, 2, 2, 4, 1, 3, 4, 4, 2, 0, 3, 4, 3, 1, 4, 3, 3, 1, 3, 0, 0, 1, 2, 3, 1, 1, 1, 0, 4, 4, 3, 0, 0, 2, 4, 3, 0, 4, 2, 3, 1, 3, 1, 2, 3, 3, 2, 3, 1, 1, 1, 3, 4, 1, 4, 0, 1, 1, 4, 2, 1, 2, 3, 4, 0, 4, 3, 2, 1, 0, 0, 1, 4, 3, 3, 1, 3, 1, 2, 3, 1, 2, 1, 1, 2, 2, 2, 2, 1, 4, 2, 0, 2, 1, 3, 4, 3, 2, 3, 1, 4, 2, 0, 0, 0, 1, 0, 4, 2, 2, 4, 4, 1, 1, 1, 0, 1, 4, 4, 0, 3, 4, 0, 0, 2, 4, 1, 4, 2, 2, 0, 0, 0, 1, 3, 4, 4, 2, 4, 4, 3, 0, 2, 1, 2, 3, 4, 1, 0, 2, 3, 3, 4, 2, 0, 4, 3, 3, 2, 0, 2, 1, 4, 4, 3, 4, 4, 0, 3, 0, 0, 4, 4, 2, 3, 0, 3, 4, 3, 3, 2, 2, 4, 3, 1, 1, 2, 0, 3, 2, 3, 2, 0, 3, 2, 1, 2, 0, 1, 2, 1, 3, 1, 4, 3, 0, 1, 4, 3, 1, 4, 3, 2, 2, 0, 4, 3, 4, 3, 0, 2, 0, 1, 4, 1, 4, 3, 2, 3, 0, 0, 2, 3, 0, 3, 2, 4, 0, 4, 2, 2, 1, 3, 4, 4, 0, 0, 2, 2, 4, 3, 4, 2, 3, 3, 0, 0, 2, 0, 3, 1, 1, 0, 4, 4, 0, 3, 1, 0, 2, 4, 1, 3, 3, 2, 3, 2, 4, 4, 2, 1, 3, 0, 1, 1, 0, 1, 2, 4, 4, 4, 2, 2, 0, 0, 1, 3, 1, 2, 4, 1, 0, 3, 1, 1, 3, 1, 2, 4, 0, 0, 0, 1, 2, 2, 1, 4, 3, 2, 3, 0, 0, 1, 0, 3, 1, 3, 4, 4, 3, 0, 0, 3, 3, 0, 0, 4, 3, 4, 3, 4, 1, 1, 3, 0, 2, 4, 0, 4, 1, 2, 2, 1, 4, 3, 0, 1, 2, 3, 3, 3, 4, 0, 4, 0, 0, 2, 3, 1, 2, 4, 2, 1, 2, 1, 3, 0, 1, 1, 3, 1, 4, 0, 3, 3, 4, 0, 2, 0, 4, 2, 3, 4, 0, 1, 4, 4, 3, 0, 0, 2, 0, 3, 1, 1, 0, 4, 1, 0, 2, 3, 0, 1, 2, 3, 3, 2, 4, 2, 4, 1, 4]
pubkeycol1065 = [4, 3, 3, 0, 1, 0, 1, 4, 4, 3, 3, 0, 4, 1, 2, 4, 0, 3, 2, 3, 3, 4, 0, 4, 3, 4, 0, 3, 0, 1, 3, 4, 0, 0, 0, 4, 1, 0, 4, 1, 4, 0, 3, 2, 3, 1, 0, 0, 3, 0, 4, 0, 4, 1, 4, 3, 0, 0, 3, 3, 3, 0, 4, 0, 4, 1, 0, 4, 1, 2, 2, 4, 4, 3, 2, 2, 2, 0, 0, 3, 4, 1, 3, 4, 3, 2, 3, 0, 4, 0, 3, 1, 1, 4, 0, 0, 1, 2, 3, 4, 4, 1, 2, 3, 2, 0, 1, 4, 4, 2, 0, 4, 0, 3, 3, 3, 3, 3, 4, 4, 0, 0, 1, 3, 2, 2, 4, 4, 3, 1, 1, 3, 1, 1, 1, 2, 2, 0, 0, 4, 4, 4, 2, 2, 2, 1, 1, 3, 2, 0, 4, 4, 4, 4, 0, 0, 1, 3, 1, 0, 0, 2, 2, 1, 2, 0, 4, 1, 0, 2, 3, 4, 1, 4, 0, 1, 4, 4, 4, 2, 4, 0, 1, 1, 1, 1, 1, 3, 3, 1, 3, 1, 4, 1, 3, 4, 0, 3, 4, 0, 0, 3, 4, 3, 3, 2, 2, 0, 1, 4, 1, 2, 3, 1, 4, 4, 1, 2, 1, 3, 3, 4, 0, 1, 3, 4, 1, 0, 1, 1, 0, 1, 1, 1, 3, 0, 4, 2, 2, 0, 0, 1, 0, 3, 0, 4, 3, 3, 2, 3, 1, 2, 1, 0, 0, 4, 4, 4, 1, 0, 3, 1, 2, 2, 1, 4, 3, 0, 3, 4, 0, 4, 0, 0, 2, 3, 4, 2, 1, 0, 2, 4, 1, 1, 3, 0, 2, 2, 1, 2, 0, 4, 2, 0, 2, 2, 3, 2, 1, 2, 0, 3, 0, 4, 0, 4, 1, 2, 0, 1, 0, 2, 1, 0, 2, 4, 3, 1, 4, 0, 1, 2, 1, 4, 3, 3, 4, 0, 3, 4, 2, 2, 0, 1, 0, 4, 2, 0, 1, 2, 2, 3, 1, 0, 3, 1, 2, 1, 0, 1, 2, 0, 4, 2, 4, 3, 1, 4, 0, 1, 3, 0, 4, 0, 0, 1, 2, 2, 2, 2, 3, 2, 4, 0, 2, 0, 3, 3, 0, 2, 0, 4, 0, 1, 3, 4, 2, 2, 2, 4, 2, 4, 2, 4, 0, 0, 4, 0, 1, 2, 2, 4, 3, 2, 2, 4, 3, 3, 3, 3, 1, 0, 2, 4, 0, 2, 2, 1, 0, 4, 2, 0, 0, 2, 0, 3, 3, 1, 0, 0, 0, 2, 1, 0, 3, 0, 0, 0, 4, 0, 3, 2, 3, 3, 0, 2, 2, 0, 4, 4, 1, 2, 4, 0, 4, 3, 4, 4, 2, 1, 3, 4, 0, 3, 0, 0, 0, 2, 3, 3, 1, 0, 4, 1, 0, 0, 0, 4, 1, 4, 4, 3, 4, 1, 1, 2, 2, 2, 4, 0, 4, 2, 2, 1, 0, 3, 2, 0, 3, 4, 3, 4, 2, 0, 0]
pubkeycol1066 = [2, 0, 2, 4, 0, 0, 4, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 3, 1, 4, 0, 0, 4, 2, 0, 0, 1, 3, 2, 3, 4, 0, 4, 1, 3, 3, 4, 3, 3, 4, 1, 3, 2, 1, 2, 2, 1, 4, 3, 3, 0, 4, 1, 4, 1, 3, 4, 1, 0, 3, 4, 3, 4, 2, 3, 3, 2, 3, 1, 3, 1, 1, 1, 4, 3, 2, 4, 3, 0, 0, 0, 2, 4, 2, 2, 2, 2, 2, 1, 2, 3, 0, 4, 3, 3, 4, 4, 3, 3, 4, 1, 0, 1, 3, 2, 2, 0, 1, 2, 3, 4, 3, 4, 1, 4, 1, 0, 4, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 4, 4, 0, 3, 0, 0, 4, 1, 3, 0, 2, 2, 3, 4, 3, 0, 3, 4, 4, 3, 0, 2, 3, 4, 1, 0, 1, 3, 2, 0, 0, 0, 2, 3, 2, 1, 0, 2, 3, 2, 1, 1, 1, 0, 0, 2, 1, 2, 4, 4, 4, 2, 2, 2, 4, 1, 3, 0, 1, 1, 3, 3, 4, 0, 2, 0, 2, 4, 4, 3, 1, 0, 2, 1, 4, 4, 0, 3, 4, 0, 0, 1, 0, 0, 1, 4, 3, 3, 2, 1, 4, 4, 4, 2, 2, 0, 4, 0, 0, 1, 3, 0, 0, 2, 4, 3, 3, 3, 2, 1, 4, 4, 3, 4, 3, 1, 1, 2, 2, 4, 4, 3, 2, 3, 0, 2, 0, 4, 4, 1, 1, 1, 3, 1, 3, 0, 2, 3, 2, 2, 3, 4, 1, 1, 1, 3, 1, 0, 1, 2, 0, 4, 3, 2, 0, 3, 2, 2, 3, 1, 1, 0, 1, 0, 1, 1, 1, 4, 2, 0, 3, 3, 3, 4, 0, 1, 2, 3, 4, 2, 0, 0, 4, 2, 3, 4, 3, 4, 3, 0, 4, 1, 0, 0, 2, 1, 4, 3, 2, 4, 2, 3, 1, 1, 4, 4, 4, 3, 0, 0, 4, 4, 0, 4, 1, 0, 3, 0, 3, 1, 2, 0, 4, 2, 1, 0, 3, 2, 4, 1, 1, 2, 0, 0, 2, 4, 1, 0, 2, 0, 0, 2, 1, 3, 3, 1, 1, 2, 0, 4, 3, 3, 3, 1, 4, 2, 4, 2, 3, 0, 0, 2, 1, 0, 2, 4, 4, 4, 1, 0, 2, 3, 1, 0, 0, 4, 1, 4, 2, 1, 1, 1, 0, 2, 2, 4, 3, 0, 3, 1, 3, 3, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 3, 1, 0, 4, 4, 0, 4, 0, 1, 3, 3, 3, 2, 0, 1, 2, 1, 3, 0, 4, 0, 0, 0, 1, 0, 1, 3, 2, 1, 4, 1, 1, 3, 2, 4, 3, 1, 1, 2, 3, 4, 0, 0, 1, 0, 3, 2, 3, 2, 4, 2, 2, 1, 2, 4, 1, 0, 4, 1, 2, 4, 2, 1, 4, 2, 3, 2, 4, 1, 3, 0, 2, 1]
pubkeycol1067 = [1, 4, 3, 2, 2, 0, 0, 4, 4, 1, 2, 4, 0, 1, 4, 2, 3, 3, 0, 4, 3, 2, 0, 4, 0, 0, 2, 3, 4, 0, 1, 4, 4, 3, 2, 1, 2, 2, 1, 4, 2, 2, 0, 4, 0, 2, 1, 3, 3, 2, 1, 4, 3, 3, 0, 4, 3, 4, 3, 1, 0, 1, 1, 4, 1, 4, 0, 2, 0, 3, 2, 3, 1, 4, 1, 3, 2, 1, 3, 4, 1, 1, 3, 0, 3, 2, 4, 2, 3, 0, 3, 3, 4, 3, 2, 1, 2, 0, 2, 4, 1, 1, 2, 2, 1, 3, 0, 2, 3, 3, 3, 1, 4, 4, 4, 0, 1, 3, 3, 3, 3, 1, 4, 0, 0, 3, 3, 4, 1, 0, 0, 4, 1, 3, 1, 0, 2, 2, 1, 3, 4, 2, 2, 0, 2, 1, 4, 2, 2, 4, 1, 2, 3, 2, 0, 2, 2, 2, 3, 0, 1, 3, 4, 4, 4, 3, 4, 1, 1, 4, 2, 1, 0, 3, 2, 1, 0, 3, 1, 3, 3, 2, 0, 1, 3, 0, 0, 4, 4, 2, 3, 1, 3, 2, 2, 4, 0, 4, 3, 2, 3, 1, 3, 0, 1, 3, 3, 2, 4, 4, 0, 4, 3, 3, 1, 1, 3, 3, 3, 4, 2, 4, 1, 0, 3, 0, 3, 1, 3, 4, 4, 0, 1, 3, 2, 4, 2, 2, 2, 2, 4, 1, 2, 3, 3, 2, 1, 4, 2, 1, 3, 1, 1, 1, 1, 3, 4, 3, 4, 3, 3, 0, 3, 1, 3, 4, 2, 4, 2, 0, 1, 1, 0, 3, 1, 1, 1, 0, 2, 4, 3, 1, 2, 2, 4, 2, 1, 1, 4, 3, 3, 2, 1, 1, 1, 4, 2, 2, 0, 2, 3, 2, 1, 3, 2, 1, 3, 4, 1, 2, 0, 2, 0, 3, 3, 0, 1, 1, 3, 4, 3, 3, 2, 2, 4, 4, 3, 4, 2, 4, 2, 2, 3, 0, 0, 0, 0, 2, 2, 3, 1, 4, 3, 1, 0, 4, 1, 4, 3, 2, 3, 2, 2, 4, 1, 1, 1, 4, 1, 4, 3, 0, 0, 1, 1, 1, 0, 3, 2, 0, 4, 3, 4, 3, 1, 2, 4, 3, 3, 2, 3, 2, 0, 3, 4, 4, 0, 3, 3, 2, 2, 3, 3, 2, 2, 0, 4, 0, 1, 4, 2, 1, 4, 1, 1, 2, 2, 0, 1, 2, 1, 3, 2, 0, 1, 3, 0, 0, 1, 1, 2, 1, 1, 0, 2, 4, 4, 1, 1, 1, 1, 1, 0, 2, 4, 4, 0, 3, 3, 2, 4, 4, 1, 3, 4, 0, 4, 1, 2, 4, 3, 2, 4, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 4, 3, 4, 4, 1, 3, 1, 1, 2, 4, 4, 3, 2, 4, 0, 4, 1, 4, 0, 3, 2, 4, 0, 1, 0, 3, 3, 0, 2, 0, 4, 3, 4, 3, 0, 4, 0, 2]
pubkeycol1068 = [1, 3, 0, 4, 2, 3, 0, 0, 1, 0, 4, 0, 2, 1, 2, 4, 0, 1, 0, 2, 3, 2, 4, 0, 3, 2, 4, 0, 4, 1, 1, 1, 4, 0, 4, 4, 0, 1, 1, 3, 3, 0, 1, 1, 2, 4, 2, 3, 4, 2, 1, 2, 3, 0, 0, 0, 1, 3, 2, 3, 1, 0, 3, 1, 0, 1, 3, 4, 0, 3, 0, 2, 4, 0, 1, 3, 1, 3, 0, 1, 3, 4, 1, 0, 0, 2, 4, 2, 1, 2, 4, 3, 3, 4, 3, 0, 1, 2, 0, 3, 3, 2, 0, 4, 4, 0, 0, 0, 0, 4, 2, 3, 2, 4, 0, 1, 0, 2, 4, 1, 2, 1, 4, 2, 2, 3, 3, 2, 1, 2, 0, 1, 1, 3, 3, 4, 4, 1, 4, 3, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 3, 2, 1, 2, 2, 4, 3, 0, 0, 3, 4, 4, 4, 3, 1, 1, 1, 4, 2, 0, 3, 3, 1, 4, 4, 2, 0, 2, 4, 1, 3, 0, 1, 1, 2, 1, 1, 2, 4, 0, 2, 1, 0, 1, 4, 0, 2, 4, 4, 0, 4, 3, 0, 2, 2, 0, 3, 3, 1, 1, 1, 3, 1, 0, 2, 2, 0, 3, 3, 1, 3, 1, 1, 4, 0, 4, 3, 2, 1, 3, 4, 3, 0, 3, 1, 3, 2, 2, 4, 0, 3, 3, 3, 3, 1, 2, 1, 4, 1, 4, 4, 3, 1, 2, 0, 2, 0, 1, 3, 3, 3, 1, 2, 0, 0, 1, 0, 3, 3, 0, 2, 3, 1, 0, 3, 1, 4, 0, 3, 0, 4, 4, 0, 1, 3, 2, 4, 4, 2, 3, 2, 1, 0, 1, 0, 3, 4, 2, 0, 4, 1, 3, 3, 4, 2, 3, 4, 1, 3, 0, 1, 1, 1, 4, 1, 3, 3, 1, 2, 2, 3, 3, 2, 2, 4, 2, 2, 2, 0, 0, 1, 3, 1, 3, 3, 1, 1, 2, 3, 3, 1, 3, 4, 3, 0, 0, 4, 0, 1, 2, 3, 2, 0, 3, 1, 2, 0, 3, 2, 3, 3, 4, 0, 4, 4, 1, 2, 0, 0, 2, 4, 2, 3, 3, 3, 2, 4, 3, 3, 4, 1, 2, 3, 3, 3, 3, 0, 0, 4, 0, 0, 0, 4, 1, 0, 1, 1, 4, 2, 3, 3, 3, 1, 4, 4, 2, 0, 1, 0, 3, 3, 1, 2, 1, 4, 0, 0, 0, 3, 2, 2, 0, 2, 0, 4, 1, 1, 1, 2, 3, 0, 3, 1, 4, 3, 1, 4, 4, 3, 3, 2, 4, 1, 4, 1, 0, 3, 1, 0, 1, 0, 4, 3, 4, 4, 3, 1, 0, 1, 3, 4, 4, 3, 1, 1, 1, 1, 1, 1, 4, 4, 1, 4, 1, 4, 4, 0, 0, 2, 0, 3, 4, 0, 2, 1, 4, 0, 4, 4, 2, 4, 0, 4, 0, 3, 2, 3, 2, 1, 0, 2, 2, 3, 3, 4]
pubkeycol1069 = [4, 4, 0, 1, 4, 0, 0, 0, 1, 1, 4, 2, 1, 2, 2, 0, 2, 4, 2, 0, 1, 0, 4, 0, 3, 2, 3, 1, 3, 0, 1, 4, 1, 1, 3, 0, 0, 0, 4, 2, 0, 2, 3, 0, 2, 2, 4, 0, 2, 3, 2, 1, 3, 0, 4, 2, 4, 4, 3, 2, 4, 2, 1, 3, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 4, 3, 4, 1, 0, 2, 3, 1, 4, 3, 1, 2, 3, 0, 2, 3, 1, 3, 1, 2, 4, 1, 0, 1, 3, 1, 3, 3, 3, 0, 3, 0, 3, 4, 2, 0, 1, 1, 0, 3, 3, 4, 1, 1, 3, 2, 4, 1, 3, 0, 2, 3, 3, 2, 3, 4, 2, 1, 4, 2, 4, 2, 0, 4, 3, 2, 4, 2, 1, 1, 1, 2, 2, 3, 3, 2, 0, 3, 4, 1, 1, 0, 2, 1, 1, 3, 4, 4, 1, 2, 4, 0, 2, 1, 1, 4, 4, 2, 0, 4, 0, 0, 2, 2, 2, 4, 3, 2, 3, 3, 1, 0, 3, 0, 3, 2, 0, 0, 2, 2, 1, 2, 3, 2, 3, 1, 4, 2, 2, 4, 0, 3, 2, 2, 1, 2, 1, 4, 4, 1, 0, 1, 0, 0, 4, 3, 2, 3, 1, 2, 1, 2, 1, 4, 1, 2, 2, 4, 2, 0, 1, 3, 1, 0, 1, 0, 4, 4, 1, 3, 0, 3, 1, 3, 4, 1, 4, 3, 4, 2, 2, 0, 1, 2, 0, 0, 0, 3, 1, 3, 1, 4, 1, 4, 2, 3, 3, 3, 0, 0, 3, 3, 0, 3, 1, 3, 2, 3, 4, 2, 3, 1, 3, 2, 0, 1, 4, 1, 4, 4, 2, 4, 2, 4, 4, 0, 1, 4, 0, 1, 4, 3, 4, 0, 2, 0, 1, 4, 0, 3, 4, 3, 2, 0, 2, 3, 1, 3, 0, 0, 1, 1, 3, 1, 1, 0, 4, 0, 3, 3, 3, 4, 3, 0, 4, 0, 3, 1, 0, 2, 2, 4, 4, 4, 1, 0, 0, 4, 2, 4, 3, 4, 3, 0, 2, 3, 1, 0, 2, 1, 1, 4, 1, 0, 4, 0, 3, 0, 0, 0, 0, 1, 4, 0, 3, 4, 1, 2, 1, 0, 0, 3, 3, 0, 0, 2, 3, 2, 4, 0, 1, 4, 3, 0, 0, 2, 1, 3, 2, 2, 1, 1, 2, 2, 2, 2, 4, 1, 0, 0, 1, 2, 4, 2, 0, 2, 4, 0, 4, 2, 2, 4, 1, 2, 1, 4, 3, 4, 3, 3, 3, 0, 0, 4, 1, 2, 2, 0, 0, 4, 0, 3, 0, 2, 3, 1, 0, 1, 1, 0, 1, 3, 1, 1, 4, 0, 2, 4, 4, 4, 4, 1, 3, 3, 2, 2, 4, 0, 0, 2, 0, 4, 1, 2, 4, 3, 0, 2, 2, 4, 0, 0, 4, 2, 2, 3, 3, 2, 0, 0, 1, 0, 4, 1, 1, 1, 2, 2, 3, 2, 2]
pubkeycol1070 = [2, 0, 4, 4, 3, 1, 0, 3, 1, 0, 2, 3, 3, 3, 4, 3, 3, 4, 1, 2, 3, 4, 2, 4, 4, 1, 0, 2, 0, 2, 0, 1, 0, 3, 0, 3, 1, 1, 3, 0, 3, 1, 4, 4, 4, 2, 3, 2, 1, 2, 4, 3, 3, 0, 1, 1, 4, 1, 4, 4, 3, 2, 3, 3, 3, 0, 2, 0, 2, 3, 2, 3, 0, 2, 3, 4, 2, 1, 2, 1, 2, 1, 0, 3, 2, 2, 4, 0, 2, 4, 3, 0, 0, 1, 4, 0, 2, 4, 0, 1, 3, 4, 3, 0, 4, 4, 2, 1, 2, 2, 0, 0, 3, 0, 4, 0, 3, 0, 4, 2, 0, 2, 1, 3, 4, 1, 2, 2, 0, 0, 3, 1, 3, 2, 0, 4, 4, 4, 3, 1, 0, 1, 2, 4, 0, 4, 0, 2, 1, 3, 1, 1, 1, 3, 1, 2, 3, 1, 0, 4, 0, 0, 0, 3, 0, 3, 1, 1, 4, 1, 1, 4, 0, 2, 1, 1, 0, 4, 0, 4, 4, 4, 0, 3, 0, 1, 3, 3, 3, 3, 1, 2, 4, 0, 4, 0, 2, 4, 2, 1, 1, 2, 4, 0, 2, 3, 2, 3, 0, 1, 2, 2, 2, 1, 0, 3, 0, 1, 3, 4, 3, 3, 3, 4, 3, 3, 4, 4, 0, 1, 3, 0, 0, 4, 0, 1, 0, 2, 2, 3, 4, 1, 4, 3, 2, 4, 1, 3, 3, 4, 1, 1, 1, 1, 4, 4, 2, 3, 2, 4, 0, 0, 0, 0, 1, 3, 0, 4, 0, 2, 3, 3, 0, 3, 4, 4, 2, 0, 4, 3, 4, 1, 3, 1, 2, 2, 1, 4, 2, 1, 3, 4, 4, 2, 2, 3, 0, 4, 3, 1, 3, 4, 3, 4, 2, 3, 1, 0, 2, 2, 3, 1, 0, 4, 3, 2, 1, 3, 1, 4, 3, 0, 3, 4, 0, 2, 1, 4, 1, 0, 2, 2, 1, 0, 0, 4, 0, 3, 1, 4, 1, 4, 4, 3, 1, 2, 1, 2, 3, 4, 1, 3, 0, 1, 0, 0, 0, 3, 1, 1, 1, 0, 0, 1, 0, 3, 4, 2, 3, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 4, 1, 1, 1, 1, 1, 1, 0, 0, 1, 3, 4, 1, 4, 2, 0, 3, 3, 2, 3, 0, 4, 4, 0, 1, 0, 4, 3, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 3, 1, 3, 2, 4, 4, 4, 0, 0, 0, 3, 1, 3, 2, 0, 0, 2, 1, 1, 2, 1, 4, 1, 3, 1, 1, 1, 4, 2, 1, 2, 2, 4, 4, 3, 3, 1, 1, 1, 4, 3, 3, 1, 1, 0, 3, 1, 0, 0, 4, 4, 2, 0, 2, 0, 1, 3, 0, 2, 4, 3, 2, 3, 0, 3, 2, 4, 3, 1, 2, 4, 2, 0, 0, 3, 0, 0, 4, 2, 1, 4, 2, 0, 4, 4]
pubkeycol1071 = [2, 4, 2, 1, 3, 3, 1, 1, 3, 1, 0, 1, 0, 2, 4, 4, 0, 2, 0, 0, 3, 4, 4, 1, 3, 1, 1, 2, 4, 2, 0, 1, 3, 3, 0, 2, 4, 3, 4, 0, 0, 2, 4, 3, 3, 3, 1, 4, 2, 4, 2, 1, 0, 0, 2, 4, 0, 0, 2, 0, 4, 1, 4, 1, 3, 4, 2, 4, 4, 3, 3, 2, 4, 2, 2, 2, 3, 2, 1, 1, 0, 4, 1, 1, 4, 0, 0, 1, 3, 1, 1, 4, 2, 2, 4, 2, 1, 3, 0, 4, 1, 4, 0, 0, 3, 0, 1, 4, 3, 2, 4, 3, 4, 4, 3, 0, 1, 1, 0, 4, 4, 2, 3, 0, 0, 1, 1, 2, 0, 3, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 3, 3, 3, 3, 3, 4, 2, 2, 3, 3, 2, 3, 3, 0, 0, 3, 4, 3, 1, 2, 0, 4, 1, 0, 3, 4, 4, 3, 1, 1, 3, 2, 4, 4, 1, 3, 2, 1, 3, 3, 2, 1, 3, 2, 1, 0, 3, 4, 4, 4, 2, 2, 2, 4, 3, 0, 0, 4, 3, 4, 0, 2, 3, 1, 3, 3, 1, 1, 3, 2, 1, 3, 4, 4, 2, 1, 2, 0, 2, 3, 4, 4, 2, 4, 1, 3, 1, 0, 1, 2, 0, 3, 1, 1, 2, 0, 0, 3, 0, 1, 1, 2, 3, 4, 3, 1, 3, 2, 0, 3, 2, 4, 1, 3, 1, 0, 4, 3, 2, 2, 2, 4, 0, 2, 3, 2, 4, 4, 2, 4, 1, 2, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 3, 2, 3, 2, 2, 3, 4, 2, 0, 1, 2, 2, 2, 0, 0, 2, 3, 3, 2, 4, 2, 3, 1, 0, 0, 2, 0, 2, 3, 3, 0, 4, 0, 0, 2, 3, 2, 4, 4, 0, 1, 0, 2, 3, 4, 3, 2, 3, 1, 2, 3, 2, 0, 0, 4, 1, 4, 3, 1, 2, 1, 1, 0, 3, 2, 4, 1, 2, 3, 2, 0, 3, 2, 3, 1, 4, 2, 3, 4, 1, 0, 4, 4, 0, 2, 4, 3, 4, 0, 2, 2, 2, 3, 0, 2, 1, 2, 1, 3, 3, 4, 1, 0, 4, 4, 4, 0, 0, 2, 3, 2, 0, 3, 0, 1, 1, 4, 2, 0, 1, 1, 4, 1, 2, 2, 1, 4, 4, 3, 4, 3, 0, 4, 2, 1, 1, 4, 2, 4, 4, 0, 1, 4, 2, 4, 2, 3, 3, 4, 1, 0, 3, 4, 4, 0, 3, 1, 1, 2, 3, 0, 3, 1, 0, 1, 3, 0, 4, 3, 4, 2, 1, 3, 2, 3, 3, 0, 2, 4, 1, 3, 1, 4, 3, 4, 1, 4, 0, 2, 3, 1, 1, 4, 0, 1, 3, 0, 2, 0, 4, 0, 4, 2, 1, 4, 3, 3, 4, 1, 2, 2, 4, 1, 4, 2, 3, 0, 3, 2, 0]
pubkeycol1072 = [1, 1, 3, 2, 2, 2, 3, 4, 1, 1, 4, 2, 0, 4, 3, 2, 2, 0, 1, 3, 1, 0, 1, 0, 4, 3, 3, 4, 2, 1, 2, 4, 0, 0, 4, 0, 3, 4, 0, 0, 0, 4, 2, 2, 0, 1, 0, 2, 0, 3, 1, 3, 0, 3, 1, 2, 1, 1, 2, 0, 3, 0, 4, 3, 2, 0, 1, 1, 2, 3, 1, 4, 2, 2, 0, 3, 4, 3, 2, 0, 0, 3, 0, 3, 3, 3, 1, 1, 0, 4, 1, 1, 2, 2, 4, 4, 4, 0, 4, 0, 1, 1, 3, 3, 0, 3, 1, 3, 4, 0, 0, 4, 2, 0, 1, 4, 1, 0, 3, 0, 1, 2, 4, 1, 2, 0, 0, 0, 3, 3, 1, 0, 4, 2, 0, 3, 1, 4, 4, 3, 4, 1, 0, 1, 1, 0, 3, 2, 0, 0, 0, 0, 3, 4, 3, 3, 0, 1, 2, 3, 2, 2, 4, 2, 4, 1, 1, 4, 2, 4, 4, 0, 4, 4, 2, 2, 0, 1, 4, 3, 4, 2, 1, 2, 2, 1, 0, 0, 1, 2, 3, 0, 0, 3, 4, 1, 4, 2, 3, 4, 2, 4, 0, 3, 4, 0, 3, 1, 1, 2, 3, 0, 4, 0, 1, 2, 1, 1, 3, 4, 4, 1, 4, 0, 2, 1, 4, 0, 3, 1, 1, 2, 4, 1, 1, 1, 3, 3, 0, 2, 3, 3, 1, 4, 4, 3, 3, 3, 0, 2, 2, 4, 2, 0, 4, 1, 1, 0, 1, 3, 1, 0, 4, 3, 2, 2, 4, 0, 1, 2, 1, 0, 4, 1, 3, 3, 3, 2, 3, 0, 4, 1, 3, 2, 0, 0, 3, 3, 1, 1, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 2, 0, 4, 4, 1, 3, 1, 2, 4, 3, 0, 2, 3, 4, 2, 4, 1, 0, 0, 3, 1, 4, 1, 0, 1, 1, 2, 4, 2, 0, 4, 1, 4, 4, 0, 3, 4, 1, 1, 0, 1, 0, 4, 1, 1, 0, 3, 0, 4, 3, 0, 4, 3, 0, 2, 4, 1, 3, 2, 4, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 4, 3, 2, 1, 0, 3, 2, 1, 1, 0, 2, 0, 2, 4, 3, 2, 3, 3, 2, 3, 0, 0, 3, 2, 3, 2, 3, 0, 3, 0, 4, 4, 0, 2, 2, 2, 2, 2, 2, 0, 4, 3, 2, 3, 3, 4, 4, 3, 1, 1, 0, 4, 1, 1, 1, 3, 0, 4, 3, 1, 0, 4, 4, 3, 3, 3, 4, 2, 0, 3, 2, 2, 4, 2, 4, 1, 1, 0, 1, 0, 2, 0, 0, 2, 4, 0, 4, 4, 1, 4, 3, 2, 4, 3, 2, 2, 3, 3, 0, 2, 0, 1, 3, 4, 4, 2, 3, 2, 0, 3, 3, 3, 0, 2, 1, 1, 2, 2, 4, 4, 2, 1, 0, 4, 2, 0, 4, 0, 1, 2, 3, 4, 1, 0, 1]
pubkeycol1073 = [4, 1, 0, 2, 0, 2, 3, 4, 4, 2, 0, 2, 2, 1, 2, 0, 2, 2, 4, 2, 4, 0, 3, 2, 0, 1, 1, 1, 0, 4, 0, 0, 4, 2, 0, 0, 4, 0, 2, 1, 3, 4, 0, 4, 0, 1, 0, 3, 3, 2, 0, 3, 4, 2, 3, 1, 4, 1, 4, 2, 2, 1, 3, 1, 3, 4, 1, 3, 4, 2, 3, 2, 0, 4, 4, 2, 0, 4, 4, 1, 0, 0, 0, 2, 3, 3, 0, 1, 1, 0, 1, 3, 4, 0, 2, 2, 1, 3, 2, 3, 2, 0, 1, 3, 4, 0, 4, 2, 0, 0, 1, 3, 0, 2, 1, 2, 4, 1, 0, 4, 4, 0, 3, 1, 0, 2, 0, 4, 2, 4, 3, 1, 2, 1, 1, 4, 1, 4, 4, 2, 2, 4, 1, 1, 1, 3, 2, 4, 3, 2, 1, 3, 2, 2, 0, 2, 0, 2, 2, 2, 0, 4, 0, 3, 0, 2, 4, 0, 2, 3, 4, 0, 4, 2, 2, 3, 4, 2, 4, 4, 4, 0, 4, 2, 4, 2, 1, 2, 2, 3, 1, 3, 2, 0, 0, 3, 0, 1, 4, 4, 1, 1, 3, 3, 4, 1, 2, 4, 3, 0, 4, 4, 4, 0, 2, 4, 1, 1, 2, 4, 4, 1, 3, 3, 0, 1, 3, 2, 2, 0, 2, 3, 1, 2, 2, 2, 2, 0, 3, 4, 4, 4, 4, 3, 2, 2, 2, 0, 0, 0, 2, 3, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 3, 0, 3, 1, 0, 1, 3, 2, 2, 2, 4, 4, 0, 0, 4, 2, 0, 0, 4, 0, 4, 0, 2, 0, 4, 0, 3, 1, 3, 1, 4, 1, 1, 3, 2, 1, 1, 1, 4, 2, 3, 1, 4, 1, 2, 1, 2, 1, 2, 1, 3, 1, 1, 2, 4, 0, 0, 0, 0, 3, 0, 0, 1, 4, 2, 1, 1, 2, 3, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 3, 4, 4, 3, 1, 4, 0, 0, 3, 2, 0, 2, 0, 1, 1, 3, 3, 1, 0, 1, 3, 0, 1, 0, 1, 3, 2, 4, 1, 2, 0, 2, 4, 3, 2, 0, 0, 3, 1, 0, 4, 3, 4, 1, 0, 4, 0, 3, 1, 0, 0, 2, 3, 2, 4, 4, 2, 2, 4, 4, 0, 0, 0, 0, 3, 3, 2, 0, 3, 3, 3, 3, 3, 2, 4, 0, 4, 1, 3, 0, 3, 1, 1, 0, 4, 1, 3, 2, 2, 0, 2, 0, 4, 4, 0, 2, 2, 3, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 3, 0, 1, 4, 0, 0, 0, 2, 1, 3, 0, 1, 3, 2, 1, 4, 1, 0, 3, 4, 1, 3, 2, 3, 0, 3, 0, 1, 1, 4, 0, 4, 4, 2, 4, 0, 3, 4, 4, 4, 3, 4, 4, 0, 2, 3, 1, 1, 0, 4]
pubkeycol1074 = [3, 3, 3, 1, 2, 4, 2, 4, 3, 1, 3, 3, 4, 2, 4, 4, 1, 1, 3, 0, 2, 2, 0, 1, 3, 2, 2, 1, 4, 2, 1, 0, 3, 1, 3, 0, 3, 1, 4, 3, 4, 2, 0, 4, 4, 3, 3, 4, 3, 3, 1, 4, 1, 3, 4, 4, 3, 0, 4, 3, 3, 2, 2, 4, 2, 2, 1, 3, 1, 0, 3, 1, 0, 2, 3, 4, 3, 3, 0, 0, 2, 2, 3, 3, 2, 3, 1, 1, 3, 2, 3, 3, 3, 1, 3, 0, 0, 3, 1, 2, 0, 3, 3, 0, 0, 2, 4, 3, 1, 2, 2, 1, 1, 3, 4, 1, 4, 1, 2, 0, 3, 2, 0, 1, 3, 2, 4, 1, 3, 2, 3, 0, 4, 2, 2, 0, 4, 0, 3, 2, 4, 1, 0, 1, 3, 1, 0, 3, 3, 3, 3, 4, 4, 0, 1, 4, 4, 4, 4, 1, 2, 3, 0, 1, 1, 4, 1, 4, 4, 2, 2, 1, 2, 4, 2, 1, 4, 4, 0, 0, 0, 2, 2, 1, 1, 4, 2, 0, 3, 3, 4, 4, 4, 0, 1, 1, 2, 3, 0, 4, 2, 2, 2, 3, 3, 0, 0, 2, 4, 4, 1, 4, 3, 3, 2, 4, 2, 3, 1, 0, 4, 1, 4, 2, 3, 4, 1, 3, 1, 2, 4, 3, 0, 2, 2, 0, 2, 4, 2, 4, 3, 1, 4, 2, 3, 3, 0, 2, 4, 1, 2, 1, 2, 0, 3, 0, 0, 1, 3, 1, 1, 3, 1, 3, 1, 1, 3, 2, 4, 0, 3, 1, 2, 1, 0, 3, 4, 1, 3, 2, 0, 4, 0, 0, 4, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 3, 3, 4, 3, 1, 3, 2, 4, 4, 4, 1, 0, 2, 4, 0, 2, 0, 1, 4, 0, 2, 3, 3, 4, 1, 2, 0, 0, 2, 3, 2, 4, 3, 0, 1, 0, 3, 2, 2, 4, 3, 0, 3, 3, 1, 1, 2, 2, 0, 4, 2, 4, 1, 4, 2, 0, 2, 0, 2, 4, 3, 3, 4, 3, 2, 3, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 3, 4, 3, 0, 0, 1, 0, 4, 1, 1, 2, 4, 0, 3, 4, 4, 1, 4, 4, 2, 3, 2, 4, 1, 0, 1, 1, 4, 3, 4, 0, 4, 4, 3, 0, 0, 4, 0, 0, 4, 0, 1, 2, 0, 0, 1, 1, 3, 2, 1, 3, 1, 4, 4, 2, 2, 4, 2, 2, 3, 0, 2, 2, 0, 0, 3, 3, 2, 3, 2, 2, 0, 4, 4, 0, 3, 1, 4, 0, 1, 3, 3, 4, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 3, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 4, 2, 1, 4, 3, 4, 2, 0, 1, 1, 3, 3, 1, 0, 1, 3, 4, 1, 3, 3, 2, 1, 4, 4, 3, 1]
pubkeycol1075 = [0, 1, 2, 4, 4, 2, 0, 4, 0, 4, 3, 3, 3, 2, 3, 3, 2, 2, 3, 3, 3, 2, 1, 4, 2, 3, 2, 4, 3, 2, 4, 3, 3, 4, 3, 4, 2, 1, 1, 3, 3, 3, 1, 3, 1, 0, 2, 1, 2, 0, 2, 2, 3, 2, 0, 0, 1, 4, 2, 3, 3, 4, 1, 0, 1, 1, 1, 2, 3, 2, 4, 2, 0, 2, 4, 1, 3, 2, 4, 4, 2, 0, 4, 2, 3, 3, 3, 4, 3, 0, 2, 1, 4, 0, 0, 2, 3, 1, 1, 3, 3, 4, 3, 2, 3, 4, 3, 1, 1, 1, 3, 4, 0, 1, 1, 1, 0, 2, 2, 3, 3, 2, 0, 0, 2, 1, 1, 1, 0, 3, 1, 0, 0, 4, 2, 3, 2, 4, 2, 2, 3, 0, 1, 4, 0, 2, 0, 4, 1, 2, 2, 2, 3, 4, 0, 2, 0, 3, 2, 1, 4, 2, 3, 2, 0, 1, 3, 2, 3, 2, 1, 3, 3, 3, 3, 1, 1, 4, 2, 0, 0, 1, 4, 3, 1, 3, 1, 3, 0, 3, 3, 4, 3, 4, 1, 3, 2, 1, 3, 4, 1, 0, 3, 2, 2, 2, 3, 3, 1, 1, 0, 2, 4, 0, 4, 3, 3, 3, 0, 0, 4, 3, 4, 3, 2, 3, 4, 1, 2, 4, 1, 4, 3, 2, 0, 4, 2, 3, 3, 3, 0, 2, 4, 0, 1, 2, 2, 0, 3, 4, 2, 0, 0, 3, 3, 1, 3, 4, 3, 3, 3, 1, 4, 1, 3, 2, 4, 4, 2, 3, 3, 1, 1, 1, 1, 3, 0, 0, 4, 4, 0, 0, 1, 3, 1, 1, 2, 2, 3, 0, 2, 1, 1, 1, 1, 0, 3, 2, 2, 0, 0, 3, 2, 2, 1, 0, 0, 3, 0, 3, 3, 2, 3, 1, 1, 4, 3, 4, 4, 0, 4, 1, 4, 2, 4, 2, 3, 2, 4, 1, 4, 2, 2, 4, 3, 0, 1, 1, 3, 4, 2, 4, 0, 4, 0, 2, 3, 0, 4, 3, 1, 1, 1, 2, 2, 0, 2, 3, 1, 1, 2, 3, 1, 1, 1, 4, 0, 3, 2, 0, 4, 2, 2, 3, 2, 1, 2, 0, 0, 3, 2, 0, 3, 4, 1, 1, 0, 4, 4, 2, 4, 2, 3, 0, 1, 1, 1, 4, 0, 4, 0, 2, 4, 1, 4, 3, 0, 0, 4, 0, 4, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 1, 1, 1, 4, 1, 3, 1, 1, 2, 3, 4, 0, 1, 1, 4, 1, 4, 3, 1, 3, 1, 3, 2, 3, 4, 3, 2, 0, 0, 2, 1, 4, 1, 3, 2, 3, 2, 2, 1, 3, 3, 3, 4, 3, 0, 0, 2, 2, 3, 4, 2, 0, 0, 2, 4, 2, 2, 1, 0, 1, 3, 3, 4, 4, 4, 2, 3, 2, 3, 1, 1, 3, 1, 3, 2, 2, 0, 4, 2, 0, 1, 3, 0, 2]
pubkeycol1076 = [1, 0, 2, 2, 0, 2, 2, 4, 3, 4, 3, 2, 4, 1, 0, 2, 0, 3, 0, 3, 2, 2, 0, 0, 4, 0, 2, 3, 2, 3, 0, 0, 4, 4, 4, 0, 4, 1, 1, 4, 4, 0, 2, 0, 4, 4, 2, 1, 2, 2, 1, 4, 3, 3, 3, 3, 0, 4, 2, 0, 0, 4, 1, 0, 2, 1, 3, 1, 0, 1, 1, 4, 0, 1, 1, 1, 4, 1, 2, 1, 3, 3, 4, 2, 3, 1, 0, 2, 2, 3, 1, 4, 4, 1, 0, 2, 1, 2, 0, 3, 1, 3, 0, 4, 0, 2, 3, 1, 3, 0, 1, 3, 1, 4, 2, 1, 2, 2, 1, 4, 0, 1, 3, 2, 3, 0, 2, 3, 1, 3, 4, 1, 0, 3, 1, 2, 1, 4, 1, 1, 2, 0, 1, 2, 4, 4, 2, 3, 1, 2, 0, 4, 4, 2, 0, 2, 1, 4, 0, 4, 3, 0, 4, 1, 0, 4, 1, 1, 0, 1, 3, 1, 4, 2, 4, 4, 2, 1, 3, 3, 2, 3, 3, 1, 3, 3, 4, 3, 2, 4, 1, 2, 2, 2, 2, 2, 4, 2, 2, 1, 1, 1, 0, 4, 4, 1, 1, 3, 4, 4, 4, 3, 4, 2, 0, 2, 2, 3, 4, 0, 0, 4, 4, 1, 0, 2, 4, 3, 4, 4, 0, 1, 0, 4, 0, 4, 2, 1, 0, 2, 4, 1, 0, 0, 1, 0, 2, 1, 0, 4, 3, 2, 1, 0, 4, 4, 0, 1, 4, 1, 2, 1, 1, 0, 4, 1, 3, 2, 3, 2, 0, 3, 2, 1, 1, 2, 2, 4, 4, 1, 3, 2, 2, 2, 3, 2, 3, 2, 1, 0, 3, 1, 4, 3, 1, 3, 4, 2, 0, 2, 4, 1, 4, 3, 3, 1, 0, 3, 3, 0, 0, 4, 1, 4, 3, 4, 4, 1, 2, 1, 4, 0, 1, 0, 3, 4, 0, 2, 1, 2, 3, 1, 1, 1, 1, 2, 4, 2, 0, 1, 0, 1, 3, 3, 1, 0, 3, 3, 3, 0, 0, 3, 4, 0, 0, 2, 2, 1, 0, 3, 3, 4, 1, 1, 2, 3, 4, 4, 2, 1, 0, 0, 4, 2, 4, 1, 0, 4, 4, 2, 1, 1, 4, 3, 4, 2, 4, 1, 0, 1, 1, 1, 0, 1, 4, 3, 1, 4, 2, 2, 4, 3, 3, 4, 2, 4, 0, 0, 2, 2, 2, 1, 0, 3, 3, 0, 0, 1, 4, 3, 4, 1, 1, 1, 0, 1, 3, 0, 3, 2, 1, 1, 3, 0, 2, 0, 1, 3, 2, 0, 3, 4, 1, 0, 2, 0, 0, 4, 1, 4, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 4, 2, 1, 4, 4, 4, 2, 1, 3, 4, 0, 3, 1, 1, 2, 4, 1, 0, 2, 4, 4, 4, 1, 1, 4, 2, 3, 2, 2, 3, 4, 2, 1, 4, 4, 4, 4, 3, 0, 3, 2, 4, 3, 1, 0]
pubkeycol1077 = [0, 2, 0, 2, 0, 0, 1, 0, 1, 3, 0, 0, 3, 3, 0, 3, 2, 1, 4, 4, 1, 1, 4, 2, 3, 0, 1, 1, 3, 4, 1, 2, 4, 2, 1, 3, 4, 0, 0, 4, 4, 1, 1, 4, 2, 3, 0, 2, 0, 1, 2, 1, 4, 0, 4, 0, 2, 2, 0, 2, 4, 2, 2, 0, 3, 4, 0, 2, 1, 1, 4, 4, 0, 2, 1, 4, 2, 3, 3, 1, 4, 4, 2, 2, 1, 2, 1, 0, 4, 2, 4, 4, 4, 2, 3, 2, 0, 4, 1, 1, 3, 2, 0, 3, 1, 0, 4, 1, 3, 2, 4, 0, 3, 1, 4, 1, 3, 1, 2, 3, 4, 1, 4, 0, 4, 3, 1, 4, 2, 2, 4, 4, 3, 4, 1, 1, 4, 4, 4, 2, 4, 3, 3, 1, 0, 2, 0, 1, 1, 2, 3, 2, 3, 2, 3, 2, 4, 0, 1, 1, 1, 2, 2, 0, 4, 0, 1, 2, 2, 1, 2, 3, 1, 1, 3, 3, 2, 1, 1, 3, 3, 4, 3, 1, 3, 1, 3, 1, 1, 2, 3, 1, 2, 2, 4, 4, 3, 2, 4, 0, 4, 4, 4, 0, 0, 2, 3, 4, 3, 2, 1, 0, 1, 3, 0, 3, 4, 2, 0, 2, 2, 2, 1, 4, 1, 0, 2, 4, 1, 4, 1, 4, 2, 0, 1, 0, 3, 2, 0, 4, 4, 3, 0, 0, 4, 4, 2, 0, 0, 1, 0, 2, 1, 1, 0, 4, 3, 3, 0, 2, 1, 0, 2, 3, 4, 3, 4, 2, 3, 3, 2, 3, 1, 1, 2, 1, 3, 0, 3, 3, 3, 4, 3, 3, 2, 4, 2, 0, 1, 0, 2, 0, 4, 0, 0, 1, 3, 1, 1, 4, 4, 2, 2, 0, 0, 4, 0, 4, 1, 0, 1, 1, 3, 4, 0, 1, 2, 3, 3, 1, 2, 2, 1, 2, 2, 2, 4, 1, 3, 3, 4, 2, 1, 1, 0, 4, 2, 2, 3, 0, 0, 3, 1, 3, 4, 2, 0, 0, 3, 3, 1, 0, 3, 3, 3, 3, 3, 1, 1, 0, 4, 0, 4, 4, 1, 4, 2, 1, 2, 4, 0, 1, 4, 3, 0, 3, 0, 3, 2, 1, 2, 1, 4, 3, 1, 4, 0, 3, 2, 2, 2, 0, 1, 3, 2, 0, 0, 4, 1, 3, 3, 4, 4, 1, 4, 2, 0, 1, 3, 1, 3, 0, 3, 0, 0, 4, 2, 0, 4, 2, 0, 0, 1, 4, 3, 2, 0, 2, 3, 2, 2, 1, 4, 4, 1, 0, 2, 4, 0, 2, 0, 3, 4, 3, 2, 3, 3, 4, 2, 1, 1, 3, 3, 4, 1, 0, 3, 0, 3, 3, 0, 4, 1, 0, 2, 3, 2, 0, 0, 4, 2, 0, 1, 0, 0, 4, 2, 3, 2, 4, 1, 0, 3, 1, 0, 1, 2, 4, 4, 3, 1, 1, 4, 3, 4, 2, 2, 0, 1, 2, 0, 4, 3, 0, 4]
pubkeycol1078 = [3, 0, 3, 3, 0, 0, 3, 3, 0, 2, 1, 3, 3, 3, 1, 1, 2, 4, 3, 3, 3, 0, 2, 3, 3, 3, 4, 3, 0, 1, 4, 1, 0, 3, 1, 2, 2, 1, 0, 0, 4, 1, 2, 2, 2, 4, 3, 1, 3, 2, 3, 1, 2, 4, 0, 1, 2, 2, 0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 4, 2, 0, 0, 3, 1, 4, 1, 4, 2, 2, 2, 1, 4, 1, 1, 3, 4, 3, 4, 1, 3, 1, 0, 1, 2, 0, 0, 2, 0, 3, 0, 0, 0, 3, 4, 0, 3, 1, 0, 0, 3, 1, 2, 1, 0, 0, 3, 4, 4, 0, 4, 0, 1, 1, 2, 0, 1, 3, 1, 1, 0, 3, 1, 4, 2, 3, 2, 2, 2, 0, 1, 3, 3, 4, 1, 0, 0, 4, 1, 0, 1, 2, 3, 3, 1, 3, 0, 4, 3, 4, 1, 0, 1, 2, 3, 0, 2, 4, 0, 1, 3, 0, 4, 3, 3, 2, 3, 1, 0, 0, 1, 1, 3, 1, 3, 1, 0, 0, 0, 4, 3, 4, 4, 0, 0, 2, 2, 1, 3, 0, 2, 1, 3, 4, 3, 0, 4, 4, 4, 1, 4, 0, 3, 3, 0, 1, 1, 0, 4, 3, 0, 1, 4, 2, 1, 1, 2, 1, 4, 1, 0, 4, 0, 0, 1, 1, 2, 1, 3, 0, 4, 3, 3, 0, 4, 2, 3, 4, 0, 4, 1, 2, 3, 3, 0, 2, 4, 4, 0, 4, 0, 4, 0, 3, 2, 4, 1, 4, 0, 0, 4, 1, 4, 3, 4, 0, 4, 2, 2, 2, 3, 1, 4, 4, 4, 4, 4, 2, 4, 1, 1, 4, 3, 0, 1, 0, 4, 3, 3, 3, 3, 0, 2, 2, 2, 3, 0, 3, 3, 3, 2, 4, 3, 3, 4, 0, 3, 4, 0, 4, 4, 1, 0, 0, 2, 3, 2, 2, 0, 2, 2, 4, 4, 2, 1, 4, 2, 4, 2, 4, 3, 1, 2, 1, 3, 0, 4, 3, 1, 4, 2, 1, 0, 0, 3, 0, 1, 1, 1, 1, 1, 2, 0, 4, 2, 3, 2, 2, 3, 2, 4, 2, 2, 2, 0, 4, 4, 0, 0, 3, 1, 3, 2, 1, 2, 0, 0, 0, 0, 4, 1, 1, 1, 4, 4, 3, 1, 1, 0, 2, 3, 1, 4, 1, 2, 1, 4, 4, 2, 2, 1, 4, 2, 4, 0, 0, 0, 2, 1, 3, 0, 3, 0, 0, 1, 1, 3, 1, 2, 3, 0, 0, 4, 1, 3, 4, 0, 4, 1, 2, 0, 1, 2, 4, 4, 4, 4, 3, 3, 1, 4, 2, 0, 3, 0, 1, 4, 3, 0, 3, 1, 2, 1, 4, 0, 4, 3, 2, 2, 1, 3, 2, 3, 1, 0, 1, 3, 0, 0, 1, 1, 1, 3, 2, 4, 3, 4, 1, 3, 4, 0, 4, 2, 1, 4, 3, 0, 3, 0, 3, 1, 0, 2, 3, 2, 2]
pubkeycol1079 = [2, 0, 4, 3, 2, 3, 2, 2, 4, 4, 2, 1, 4, 4, 0, 3, 1, 1, 0, 3, 0, 2, 0, 4, 4, 2, 2, 1, 0, 3, 2, 1, 0, 1, 1, 1, 4, 0, 1, 4, 2, 4, 0, 0, 3, 1, 2, 1, 2, 3, 3, 2, 1, 4, 3, 0, 4, 1, 3, 2, 4, 2, 2, 3, 4, 2, 2, 3, 2, 1, 1, 1, 0, 2, 1, 4, 1, 0, 1, 4, 3, 4, 4, 3, 1, 0, 0, 3, 0, 2, 2, 2, 3, 1, 0, 1, 0, 3, 1, 2, 3, 1, 3, 2, 2, 3, 4, 4, 3, 4, 3, 0, 0, 3, 2, 4, 2, 2, 0, 2, 0, 2, 2, 0, 3, 4, 0, 1, 0, 3, 3, 1, 1, 1, 2, 4, 4, 0, 4, 4, 1, 3, 0, 2, 0, 1, 3, 0, 4, 1, 4, 0, 0, 4, 0, 4, 1, 4, 1, 1, 4, 4, 0, 0, 0, 2, 0, 2, 2, 3, 0, 1, 4, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 3, 3, 0, 0, 4, 1, 1, 3, 2, 0, 1, 2, 3, 0, 3, 4, 1, 3, 2, 3, 3, 4, 2, 1, 4, 3, 0, 3, 3, 4, 2, 1, 3, 2, 3, 0, 2, 3, 3, 3, 0, 0, 4, 2, 4, 1, 4, 3, 2, 3, 0, 1, 4, 0, 3, 4, 3, 1, 4, 3, 4, 2, 2, 0, 2, 2, 4, 4, 0, 3, 1, 4, 4, 0, 0, 4, 4, 1, 3, 1, 3, 0, 4, 0, 1, 0, 3, 3, 1, 4, 0, 2, 2, 3, 4, 1, 3, 0, 4, 3, 4, 2, 3, 1, 2, 3, 3, 2, 2, 3, 2, 3, 1, 2, 1, 1, 4, 0, 2, 2, 1, 2, 3, 3, 1, 1, 3, 4, 2, 2, 0, 1, 3, 3, 1, 0, 2, 3, 4, 3, 0, 1, 0, 3, 0, 1, 2, 0, 2, 1, 2, 3, 3, 2, 3, 0, 4, 0, 1, 3, 4, 3, 3, 0, 1, 2, 4, 4, 4, 0, 1, 0, 1, 1, 3, 0, 3, 2, 3, 2, 2, 0, 3, 4, 3, 3, 4, 2, 1, 1, 3, 4, 3, 1, 3, 1, 4, 3, 2, 0, 4, 2, 4, 0, 2, 3, 1, 1, 3, 2, 4, 2, 0, 4, 4, 1, 3, 2, 0, 3, 1, 2, 4, 3, 4, 2, 1, 3, 4, 0, 4, 2, 0, 3, 0, 2, 0, 3, 2, 1, 3, 4, 0, 2, 3, 3, 2, 2, 4, 3, 4, 3, 3, 2, 2, 2, 3, 4, 4, 0, 2, 0, 2, 0, 3, 4, 1, 4, 4, 2, 1, 1, 1, 2, 1, 3, 2, 0, 3, 0, 0, 0, 3, 0, 4, 0, 3, 0, 0, 3, 1, 0, 2, 3, 2, 3, 3, 2, 4, 3, 3, 3, 4, 0, 4, 3, 0, 0, 1, 1, 1, 1, 4, 4, 1, 2, 3, 0, 0, 4, 4]
pubkeycol1080 = [2, 1, 0, 2, 2, 0, 3, 1, 1, 4, 3, 3, 3, 1, 3, 4, 4, 3, 0, 0, 4, 3, 1, 1, 0, 3, 1, 2, 2, 2, 1, 1, 3, 4, 2, 0, 2, 1, 0, 2, 1, 1, 4, 1, 4, 3, 3, 4, 1, 3, 3, 1, 1, 1, 0, 0, 2, 3, 0, 1, 3, 2, 2, 2, 3, 0, 3, 2, 1, 4, 2, 0, 2, 2, 4, 0, 4, 1, 0, 3, 2, 2, 0, 4, 1, 0, 1, 3, 3, 0, 1, 1, 2, 4, 3, 3, 1, 4, 2, 1, 3, 4, 1, 4, 4, 2, 0, 2, 3, 3, 1, 4, 1, 1, 4, 2, 4, 2, 2, 4, 4, 1, 3, 0, 4, 2, 3, 4, 2, 2, 3, 2, 4, 0, 4, 0, 2, 2, 1, 3, 1, 3, 3, 4, 0, 1, 1, 2, 4, 4, 0, 2, 3, 1, 2, 4, 3, 0, 3, 3, 2, 4, 2, 4, 3, 0, 1, 2, 3, 2, 3, 1, 1, 1, 3, 2, 0, 4, 1, 4, 4, 4, 0, 2, 1, 1, 2, 0, 3, 3, 4, 2, 4, 2, 4, 0, 3, 0, 3, 2, 1, 1, 1, 4, 0, 3, 2, 2, 3, 0, 2, 4, 3, 1, 2, 2, 2, 3, 2, 0, 1, 3, 4, 4, 2, 4, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 4, 3, 2, 2, 4, 2, 2, 0, 3, 1, 4, 4, 0, 0, 3, 2, 3, 0, 0, 3, 1, 0, 2, 1, 0, 2, 4, 2, 4, 0, 1, 2, 2, 4, 4, 3, 4, 1, 3, 4, 0, 3, 3, 0, 3, 2, 1, 4, 4, 0, 4, 2, 4, 3, 3, 3, 4, 3, 3, 0, 3, 3, 0, 2, 0, 2, 3, 2, 4, 0, 4, 3, 2, 1, 3, 3, 1, 1, 4, 3, 1, 4, 2, 4, 3, 3, 1, 0, 0, 1, 0, 0, 0, 1, 1, 3, 1, 2, 0, 4, 2, 4, 0, 0, 0, 2, 3, 3, 0, 2, 1, 1, 4, 0, 3, 0, 2, 0, 2, 3, 2, 3, 0, 0, 4, 4, 3, 4, 0, 2, 1, 0, 4, 2, 2, 1, 2, 4, 4, 0, 1, 1, 1, 1, 0, 4, 2, 1, 0, 2, 2, 4, 2, 2, 0, 1, 2, 4, 4, 1, 3, 2, 3, 2, 1, 3, 4, 3, 3, 4, 1, 4, 2, 1, 2, 0, 1, 4, 0, 0, 1, 2, 3, 3, 0, 2, 2, 0, 1, 1, 4, 0, 0, 3, 1, 0, 4, 4, 0, 0, 1, 1, 0, 4, 2, 3, 3, 3, 2, 0, 1, 0, 2, 2, 1, 1, 0, 3, 1, 2, 4, 4, 1, 4, 3, 2, 0, 3, 2, 1, 3, 2, 3, 0, 2, 1, 0, 1, 0, 2, 1, 3, 4, 1, 4, 0, 4, 3, 2, 2, 2, 1, 1, 2, 1, 4, 1, 2, 0, 2, 1, 4, 4, 1, 1, 3, 0]
pubkeycol1081 = [4, 1, 1, 0, 1, 1, 2, 2, 4, 0, 3, 1, 2, 1, 3, 3, 2, 1, 1, 3, 3, 1, 1, 2, 0, 4, 2, 1, 3, 2, 1, 2, 1, 1, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 0, 4, 1, 2, 4, 0, 0, 1, 2, 4, 2, 4, 0, 3, 0, 3, 1, 3, 0, 1, 2, 0, 1, 4, 2, 0, 1, 0, 2, 3, 1, 0, 4, 3, 1, 0, 0, 4, 3, 1, 4, 4, 4, 1, 0, 1, 4, 3, 0, 3, 3, 0, 2, 1, 2, 2, 2, 2, 0, 4, 1, 0, 2, 0, 2, 3, 2, 1, 3, 1, 4, 4, 0, 3, 0, 3, 4, 0, 2, 3, 3, 3, 3, 4, 4, 1, 0, 4, 0, 3, 3, 2, 4, 2, 3, 1, 2, 3, 3, 0, 3, 0, 2, 0, 0, 3, 2, 3, 2, 3, 4, 0, 2, 2, 2, 3, 3, 1, 0, 2, 2, 2, 3, 3, 2, 4, 4, 1, 3, 3, 4, 0, 4, 3, 0, 1, 2, 3, 1, 4, 3, 2, 2, 2, 4, 1, 4, 1, 0, 2, 1, 3, 4, 3, 4, 0, 0, 4, 3, 1, 4, 3, 1, 2, 4, 4, 2, 1, 4, 4, 0, 4, 3, 3, 0, 4, 3, 3, 2, 3, 4, 3, 2, 4, 3, 4, 4, 3, 0, 3, 4, 0, 4, 3, 2, 0, 0, 0, 2, 1, 1, 0, 4, 3, 0, 3, 3, 0, 0, 0, 1, 0, 3, 1, 2, 1, 4, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 1, 3, 4, 2, 4, 2, 3, 0, 0, 1, 3, 0, 2, 2, 0, 0, 2, 2, 0, 3, 3, 3, 4, 2, 2, 3, 2, 4, 1, 1, 0, 1, 3, 3, 1, 2, 0, 2, 4, 2, 2, 2, 4, 3, 4, 4, 3, 1, 4, 0, 1, 1, 2, 2, 3, 4, 0, 0, 0, 0, 1, 3, 2, 3, 4, 4, 4, 1, 3, 2, 3, 0, 2, 4, 4, 3, 2, 2, 4, 4, 3, 3, 3, 2, 0, 2, 2, 4, 1, 1, 1, 2, 2, 0, 1, 4, 2, 0, 1, 3, 1, 3, 1, 0, 2, 0, 0, 4, 4, 0, 4, 0, 0, 2, 3, 0, 2, 2, 0, 0, 3, 0, 0, 1, 0, 1, 4, 4, 0, 2, 1, 2, 4, 1, 2, 1, 1, 4, 1, 1, 4, 1, 3, 4, 3, 2, 0, 2, 4, 4, 4, 3, 0, 2, 3, 0, 4, 0, 3, 4, 3, 2, 2, 2, 1, 1, 1, 4, 4, 2, 1, 4, 2, 4, 1, 1, 3, 0, 1, 3, 0, 4, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 3, 3, 0, 2, 0, 1, 3, 4, 2, 1, 0, 3, 4, 3, 2, 1, 1, 2, 4, 4, 2, 1, 1, 0, 0, 2, 0, 1, 4, 1, 0, 3, 4, 0, 1, 2, 3, 1, 2, 2]
pubkeycol1082 = [0, 1, 1, 3, 4, 1, 3, 0, 4, 3, 1, 0, 0, 0, 4, 3, 2, 3, 1, 0, 1, 2, 4, 0, 1, 4, 0, 2, 4, 1, 4, 4, 4, 4, 2, 0, 1, 4, 2, 1, 1, 0, 1, 0, 3, 1, 0, 1, 3, 3, 4, 1, 4, 3, 2, 1, 4, 4, 2, 4, 0, 4, 2, 2, 1, 1, 1, 2, 2, 4, 0, 4, 2, 3, 0, 2, 3, 3, 3, 2, 1, 4, 0, 3, 4, 4, 0, 0, 1, 4, 3, 1, 2, 3, 4, 1, 0, 3, 0, 4, 2, 0, 4, 4, 2, 2, 3, 3, 0, 4, 2, 1, 3, 1, 0, 2, 2, 4, 3, 4, 3, 4, 4, 4, 2, 3, 3, 1, 0, 3, 2, 0, 4, 1, 1, 3, 3, 3, 0, 1, 3, 0, 4, 1, 1, 3, 4, 4, 0, 1, 0, 4, 3, 1, 1, 2, 0, 2, 2, 1, 4, 2, 0, 2, 4, 1, 2, 0, 4, 4, 3, 4, 4, 4, 2, 0, 2, 1, 1, 3, 4, 2, 2, 0, 3, 1, 3, 0, 0, 0, 3, 4, 0, 4, 4, 3, 3, 0, 4, 1, 4, 3, 4, 4, 2, 2, 2, 1, 2, 0, 0, 0, 4, 0, 2, 0, 0, 4, 1, 1, 0, 0, 1, 1, 2, 2, 3, 0, 2, 3, 4, 1, 1, 1, 1, 1, 3, 0, 4, 1, 3, 1, 0, 0, 3, 2, 4, 1, 1, 4, 0, 4, 1, 4, 4, 4, 3, 1, 3, 4, 1, 0, 2, 2, 3, 0, 1, 3, 1, 3, 1, 2, 0, 1, 4, 4, 1, 3, 0, 3, 2, 3, 4, 4, 0, 1, 4, 3, 3, 3, 3, 3, 1, 1, 2, 4, 3, 2, 1, 3, 0, 0, 0, 1, 4, 1, 0, 0, 0, 2, 1, 2, 4, 2, 4, 4, 2, 4, 2, 1, 4, 0, 0, 3, 3, 3, 2, 0, 4, 4, 0, 2, 2, 3, 0, 2, 4, 1, 1, 0, 2, 3, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 4, 4, 1, 0, 0, 2, 3, 1, 0, 4, 1, 0, 0, 4, 4, 4, 3, 2, 2, 2, 1, 1, 0, 4, 2, 4, 4, 1, 2, 2, 1, 0, 3, 1, 3, 3, 4, 0, 1, 3, 2, 1, 2, 4, 4, 4, 2, 2, 4, 4, 3, 4, 0, 4, 3, 2, 2, 0, 1, 2, 4, 3, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 4, 3, 2, 4, 4, 2, 3, 3, 0, 0, 1, 0, 2, 4, 3, 4, 3, 0, 0, 2, 2, 2, 1, 1, 2, 1, 3, 0, 1, 3, 1, 3, 1, 0, 2, 2, 4, 4, 1, 0, 4, 0, 3, 1, 3, 4, 4, 0, 3, 3, 2, 3, 0, 1, 3, 0, 4, 3, 3, 3, 0, 1, 4, 0, 4, 1, 2, 1, 3, 1, 0, 3, 3, 2]
pubkeycol1083 = [0, 0, 2, 3, 4, 4, 1, 1, 2, 0, 0, 4, 3, 4, 2, 2, 0, 2, 1, 3, 3, 4, 2, 3, 2, 1, 0, 1, 2, 3, 0, 2, 1, 3, 1, 0, 4, 2, 4, 2, 2, 2, 2, 3, 3, 1, 2, 2, 4, 2, 0, 4, 4, 4, 4, 2, 4, 4, 3, 1, 3, 3, 0, 4, 3, 0, 2, 4, 0, 0, 3, 3, 2, 4, 4, 1, 4, 3, 3, 0, 1, 1, 2, 1, 2, 2, 2, 1, 3, 3, 1, 0, 1, 3, 4, 2, 3, 1, 4, 3, 0, 4, 2, 0, 3, 4, 2, 0, 0, 2, 1, 4, 0, 3, 1, 2, 2, 4, 0, 0, 2, 1, 1, 1, 1, 4, 1, 2, 0, 4, 3, 4, 3, 3, 0, 4, 4, 0, 4, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 3, 3, 0, 2, 1, 2, 4, 2, 0, 4, 3, 1, 3, 4, 2, 2, 1, 3, 2, 3, 1, 1, 1, 4, 2, 3, 0, 2, 3, 1, 3, 3, 1, 1, 0, 2, 4, 0, 4, 0, 0, 1, 1, 4, 0, 3, 0, 3, 4, 3, 0, 2, 3, 0, 2, 4, 3, 0, 1, 1, 2, 1, 0, 0, 3, 3, 2, 3, 0, 2, 3, 3, 4, 3, 3, 3, 4, 0, 3, 3, 2, 4, 3, 1, 3, 0, 3, 2, 1, 2, 2, 3, 1, 3, 2, 4, 3, 2, 1, 4, 0, 3, 0, 0, 0, 4, 3, 2, 4, 1, 0, 3, 0, 2, 0, 0, 1, 4, 2, 3, 4, 1, 4, 1, 3, 4, 0, 2, 2, 4, 2, 4, 0, 0, 2, 0, 1, 4, 3, 1, 0, 2, 0, 3, 4, 3, 0, 2, 1, 0, 2, 0, 4, 3, 3, 2, 3, 2, 4, 3, 3, 0, 2, 0, 0, 1, 4, 1, 0, 2, 0, 1, 0, 2, 2, 1, 4, 2, 3, 1, 0, 4, 1, 0, 4, 2, 2, 1, 4, 4, 4, 3, 3, 0, 1, 0, 1, 0, 0, 1, 2, 0, 3, 1, 3, 2, 0, 2, 0, 1, 1, 2, 3, 4, 2, 3, 2, 1, 2, 4, 0, 4, 0, 3, 3, 2, 3, 2, 4, 0, 3, 2, 4, 2, 0, 3, 4, 4, 2, 3, 4, 2, 4, 4, 3, 4, 0, 3, 1, 4, 2, 2, 4, 3, 4, 3, 2, 3, 1, 0, 4, 4, 2, 4, 1, 2, 3, 1, 1, 1, 1, 3, 3, 0, 1, 0, 2, 0, 3, 4, 4, 4, 0, 2, 3, 3, 2, 3, 0, 1, 3, 1, 0, 4, 2, 4, 2, 1, 4, 3, 3, 2, 1, 2, 2, 0, 0, 3, 4, 3, 1, 1, 3, 1, 3, 1, 2, 0, 3, 4, 2, 3, 2, 1, 4, 0, 0, 2, 3, 1, 4, 3, 3, 2, 0, 3, 1, 1, 1, 3, 2, 2, 3, 3, 2, 2, 1, 0, 3, 1, 3, 1, 4, 0, 4, 1]
pubkeycol1084 = [3, 0, 1, 1, 4, 1, 3, 0, 1, 0, 0, 0, 1, 3, 2, 2, 4, 3, 0, 2, 2, 2, 0, 2, 3, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 4, 4, 3, 3, 4, 0, 4, 0, 3, 2, 2, 3, 0, 0, 0, 4, 3, 4, 4, 2, 4, 3, 1, 3, 4, 3, 3, 2, 3, 2, 3, 1, 1, 2, 1, 0, 4, 1, 4, 0, 4, 0, 4, 2, 4, 3, 0, 4, 4, 0, 3, 0, 0, 4, 0, 0, 3, 3, 2, 2, 0, 2, 0, 0, 0, 3, 4, 4, 4, 2, 3, 3, 0, 3, 0, 4, 3, 1, 2, 4, 1, 2, 3, 2, 4, 1, 2, 4, 4, 0, 3, 3, 0, 4, 0, 3, 0, 2, 1, 1, 3, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 4, 4, 2, 3, 2, 2, 3, 3, 4, 3, 3, 1, 1, 4, 0, 1, 3, 1, 4, 1, 1, 2, 3, 3, 4, 3, 4, 4, 3, 2, 0, 3, 1, 4, 4, 4, 4, 4, 1, 4, 4, 4, 0, 3, 1, 4, 0, 2, 4, 1, 3, 4, 1, 1, 3, 0, 4, 2, 2, 1, 3, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 4, 1, 3, 1, 1, 1, 4, 0, 1, 3, 3, 3, 2, 3, 1, 3, 0, 4, 0, 1, 1, 4, 3, 2, 0, 1, 2, 1, 4, 4, 1, 3, 2, 0, 4, 0, 1, 4, 1, 2, 1, 1, 2, 0, 0, 4, 4, 4, 1, 3, 0, 4, 3, 1, 3, 0, 2, 2, 0, 4, 0, 1, 0, 0, 3, 3, 3, 1, 4, 2, 1, 2, 3, 4, 1, 1, 4, 3, 2, 1, 0, 0, 0, 0, 2, 4, 3, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 3, 3, 1, 3, 0, 3, 2, 0, 3, 1, 2, 0, 0, 2, 4, 1, 1, 1, 3, 0, 3, 1, 4, 1, 2, 0, 1, 3, 1, 0, 4, 4, 0, 4, 0, 3, 4, 0, 0, 2, 2, 2, 4, 3, 2, 0, 4, 0, 0, 4, 3, 2, 3, 2, 0, 1, 0, 3, 0, 4, 0, 4, 0, 0, 0, 4, 3, 3, 3, 1, 1, 0, 3, 2, 4, 1, 0, 0, 0, 1, 0, 4, 2, 1, 0, 4, 0, 3, 2, 3, 4, 4, 1, 0, 1, 4, 4, 0, 3, 0, 1, 2, 2, 2, 0, 4, 3, 2, 4, 3, 1, 0, 1, 3, 2, 2, 2, 1, 0, 1, 1, 0, 3, 0, 1, 1, 0, 0, 3, 0, 1, 4, 0, 1, 1, 2, 1, 1, 4, 0, 1, 4, 1, 2, 4, 2, 2, 3, 3, 3, 0, 0, 4, 2, 0, 1, 3, 1, 3, 2, 1, 0, 2, 0, 0, 0, 4, 1, 0, 4, 1, 0, 2, 1, 0, 4, 0, 4, 2, 4]
pubkeycol1085 = [2, 3, 1, 3, 4, 0, 1, 0, 1, 4, 2, 1, 1, 4, 1, 4, 4, 4, 2, 4, 2, 0, 2, 3, 2, 1, 4, 2, 4, 2, 1, 3, 3, 0, 4, 0, 2, 2, 3, 0, 1, 1, 3, 0, 4, 2, 4, 2, 1, 0, 3, 2, 3, 3, 0, 3, 1, 0, 3, 1, 2, 1, 0, 2, 3, 2, 3, 3, 0, 4, 3, 4, 4, 4, 2, 0, 0, 4, 0, 1, 2, 1, 3, 3, 4, 3, 4, 0, 1, 4, 3, 0, 0, 0, 3, 2, 1, 2, 3, 1, 3, 0, 1, 4, 3, 3, 1, 1, 0, 1, 0, 4, 0, 0, 0, 2, 1, 0, 1, 3, 4, 2, 4, 2, 2, 4, 0, 4, 1, 3, 4, 1, 3, 0, 4, 4, 1, 0, 3, 0, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 1, 2, 1, 1, 4, 0, 3, 2, 3, 3, 1, 3, 4, 0, 1, 2, 1, 3, 1, 3, 1, 4, 0, 0, 1, 1, 2, 0, 4, 3, 3, 2, 3, 3, 4, 0, 2, 4, 1, 3, 2, 4, 0, 4, 1, 3, 1, 2, 3, 4, 2, 3, 0, 2, 2, 3, 0, 4, 4, 2, 0, 2, 1, 4, 4, 3, 4, 0, 1, 0, 3, 4, 1, 4, 3, 0, 1, 0, 4, 0, 1, 0, 3, 1, 1, 2, 1, 1, 2, 3, 0, 0, 4, 1, 3, 3, 2, 2, 4, 2, 3, 3, 2, 3, 3, 1, 2, 3, 2, 4, 3, 3, 1, 4, 0, 3, 3, 1, 0, 1, 3, 1, 4, 0, 4, 3, 2, 1, 1, 3, 1, 1, 4, 4, 0, 4, 3, 2, 4, 2, 2, 0, 1, 3, 1, 2, 3, 3, 2, 3, 0, 4, 3, 3, 3, 2, 2, 2, 0, 1, 0, 2, 3, 4, 0, 0, 0, 3, 2, 0, 1, 1, 3, 2, 2, 4, 0, 1, 1, 0, 4, 2, 0, 1, 4, 4, 0, 1, 0, 3, 3, 3, 3, 4, 4, 3, 3, 2, 2, 2, 0, 4, 2, 0, 1, 4, 0, 4, 4, 4, 3, 1, 2, 0, 3, 0, 4, 0, 4, 3, 1, 1, 3, 1, 4, 4, 1, 2, 0, 0, 4, 4, 1, 2, 3, 4, 3, 0, 4, 1, 2, 4, 1, 2, 4, 4, 3, 4, 2, 2, 1, 0, 4, 0, 2, 3, 3, 4, 2, 3, 2, 1, 3, 0, 3, 4, 0, 2, 4, 1, 4, 4, 2, 0, 1, 3, 4, 2, 3, 3, 1, 3, 2, 1, 4, 4, 4, 2, 4, 4, 3, 4, 2, 4, 3, 0, 0, 2, 0, 4, 2, 0, 2, 3, 3, 4, 4, 1, 1, 1, 4, 3, 4, 0, 0, 1, 4, 3, 4, 3, 1, 2, 2, 1, 2, 0, 2, 4, 1, 4, 1, 0, 0, 4, 2, 0, 1, 0, 3, 4, 0, 1, 3, 2, 0, 3, 0, 3, 0, 0, 4, 1, 4, 3]
pubkeycol1086 = [3, 2, 3, 2, 3, 1, 3, 0, 0, 2, 4, 0, 1, 4, 1, 1, 1, 1, 3, 3, 4, 3, 2, 4, 3, 4, 0, 3, 3, 0, 2, 2, 2, 0, 2, 4, 0, 2, 2, 2, 4, 3, 2, 0, 3, 1, 3, 4, 1, 2, 3, 4, 0, 3, 1, 1, 0, 4, 4, 3, 1, 4, 2, 0, 2, 0, 4, 3, 4, 2, 2, 1, 1, 4, 3, 3, 2, 1, 1, 3, 4, 1, 4, 2, 2, 3, 1, 2, 0, 2, 4, 0, 4, 0, 3, 0, 3, 2, 4, 3, 1, 4, 2, 0, 1, 0, 1, 1, 4, 0, 3, 4, 1, 2, 2, 4, 0, 2, 3, 4, 2, 1, 2, 4, 1, 2, 4, 4, 0, 0, 4, 2, 2, 1, 4, 2, 4, 2, 0, 2, 0, 4, 1, 1, 0, 0, 3, 2, 1, 0, 1, 2, 4, 4, 3, 2, 3, 0, 1, 3, 1, 3, 0, 4, 2, 4, 2, 4, 4, 4, 1, 0, 1, 1, 2, 3, 4, 1, 4, 2, 0, 1, 1, 2, 3, 4, 3, 2, 2, 4, 3, 2, 1, 4, 2, 1, 0, 2, 4, 0, 4, 1, 1, 2, 4, 0, 4, 2, 4, 4, 4, 2, 2, 4, 0, 1, 0, 3, 0, 4, 1, 4, 4, 2, 4, 4, 3, 1, 2, 2, 0, 4, 0, 0, 3, 0, 1, 2, 3, 0, 0, 2, 2, 3, 2, 0, 2, 0, 4, 2, 4, 4, 4, 3, 0, 3, 3, 2, 1, 4, 4, 1, 0, 3, 2, 3, 4, 4, 2, 1, 4, 0, 3, 3, 3, 1, 4, 3, 0, 4, 2, 2, 0, 4, 0, 0, 0, 0, 3, 2, 3, 2, 2, 2, 0, 1, 2, 3, 4, 2, 1, 2, 0, 2, 0, 4, 3, 2, 0, 1, 2, 0, 4, 1, 4, 2, 2, 2, 0, 1, 1, 4, 1, 3, 4, 1, 3, 3, 4, 0, 2, 3, 1, 4, 1, 0, 2, 0, 2, 3, 2, 0, 0, 1, 3, 1, 4, 3, 4, 1, 4, 4, 4, 4, 4, 0, 2, 3, 0, 1, 4, 0, 4, 2, 4, 2, 2, 0, 2, 0, 4, 3, 2, 2, 1, 2, 2, 0, 3, 0, 4, 3, 4, 0, 0, 4, 1, 0, 0, 0, 4, 3, 3, 2, 1, 2, 3, 4, 2, 0, 0, 4, 3, 0, 2, 4, 4, 1, 1, 0, 2, 0, 3, 0, 3, 3, 3, 1, 4, 2, 2, 3, 4, 4, 4, 3, 2, 2, 2, 4, 3, 4, 3, 0, 3, 1, 3, 4, 1, 4, 0, 0, 3, 0, 3, 0, 4, 3, 3, 2, 1, 4, 3, 2, 3, 2, 3, 3, 4, 4, 3, 4, 0, 2, 3, 1, 1, 1, 2, 0, 0, 0, 0, 3, 1, 4, 2, 0, 0, 3, 3, 4, 4, 0, 0, 3, 3, 0, 0, 1, 0, 3, 4, 4, 3, 0, 4, 4, 3, 2, 4, 3, 2, 2, 2]
pubkeycol1087 = [3, 0, 1, 3, 2, 0, 4, 1, 3, 1, 0, 1, 0, 4, 1, 1, 3, 1, 4, 4, 0, 2, 3, 2, 1, 4, 2, 0, 4, 1, 3, 3, 4, 0, 2, 2, 3, 4, 4, 2, 2, 2, 2, 1, 1, 3, 2, 0, 3, 4, 4, 3, 2, 1, 2, 1, 2, 2, 3, 3, 0, 1, 3, 4, 3, 3, 0, 2, 2, 0, 0, 0, 4, 3, 1, 3, 4, 3, 4, 3, 1, 4, 0, 4, 3, 4, 3, 0, 0, 2, 3, 0, 2, 0, 0, 0, 0, 0, 3, 2, 1, 3, 3, 1, 1, 0, 2, 3, 4, 2, 2, 2, 2, 3, 1, 1, 4, 4, 0, 3, 4, 0, 1, 1, 0, 4, 4, 1, 2, 1, 1, 3, 4, 2, 2, 0, 4, 3, 1, 1, 4, 1, 4, 3, 3, 0, 3, 0, 4, 2, 1, 2, 3, 1, 4, 2, 1, 1, 2, 0, 3, 4, 2, 0, 1, 3, 4, 1, 4, 0, 2, 2, 0, 4, 3, 3, 1, 0, 3, 0, 1, 2, 0, 1, 1, 1, 3, 1, 4, 1, 2, 1, 4, 2, 4, 0, 4, 3, 1, 4, 2, 3, 3, 0, 3, 1, 3, 3, 2, 0, 0, 1, 1, 1, 4, 0, 0, 0, 0, 4, 2, 1, 0, 2, 3, 4, 3, 3, 2, 2, 3, 0, 0, 4, 4, 1, 3, 4, 3, 4, 4, 2, 4, 1, 0, 3, 3, 1, 3, 4, 4, 0, 2, 3, 1, 3, 4, 3, 1, 0, 0, 2, 2, 0, 0, 2, 4, 0, 1, 0, 3, 0, 0, 0, 0, 0, 2, 0, 4, 3, 3, 4, 3, 1, 0, 0, 1, 2, 2, 2, 3, 4, 2, 4, 2, 3, 1, 1, 0, 4, 1, 1, 0, 3, 3, 1, 2, 4, 0, 4, 2, 1, 3, 1, 1, 1, 2, 0, 4, 3, 1, 2, 3, 4, 3, 2, 0, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 0, 3, 2, 4, 2, 1, 2, 1, 3, 4, 4, 3, 2, 4, 2, 4, 2, 2, 3, 3, 3, 3, 2, 2, 4, 3, 2, 1, 3, 4, 3, 4, 2, 3, 0, 0, 3, 2, 4, 4, 2, 1, 3, 3, 3, 4, 4, 1, 4, 1, 2, 1, 3, 1, 0, 3, 2, 4, 4, 4, 2, 2, 1, 3, 4, 1, 3, 1, 2, 4, 0, 0, 4, 4, 3, 0, 4, 4, 4, 0, 1, 2, 0, 2, 4, 3, 0, 2, 4, 2, 1, 0, 1, 1, 4, 1, 4, 1, 3, 4, 2, 0, 3, 3, 0, 1, 3, 2, 4, 3, 1, 1, 2, 0, 1, 4, 4, 3, 4, 3, 3, 0, 1, 3, 2, 2, 0, 1, 0, 4, 1, 1, 0, 0, 1, 0, 2, 4, 0, 0, 2, 0, 3, 0, 2, 4, 3, 0, 1, 4, 0, 2, 3, 2, 4, 3, 3, 3, 1, 0, 4, 0, 3, 1, 1, 0, 1, 0]
pubkeycol1088 = [3, 0, 1, 4, 0, 2, 1, 3, 3, 0, 4, 1, 3, 2, 1, 3, 0, 1, 1, 4, 3, 0, 0, 0, 1, 4, 2, 4, 2, 0, 4, 0, 3, 0, 2, 0, 2, 3, 1, 1, 0, 3, 0, 4, 1, 2, 2, 0, 2, 2, 1, 4, 1, 4, 1, 4, 3, 0, 2, 0, 4, 2, 2, 3, 4, 4, 2, 1, 2, 4, 0, 4, 1, 3, 4, 0, 2, 4, 3, 1, 3, 3, 2, 2, 1, 0, 4, 3, 2, 0, 3, 2, 0, 2, 0, 1, 1, 3, 3, 4, 2, 0, 3, 3, 4, 0, 0, 2, 1, 3, 0, 2, 3, 4, 1, 2, 1, 0, 0, 4, 2, 3, 4, 2, 0, 3, 1, 3, 3, 3, 1, 0, 1, 2, 0, 4, 2, 4, 4, 3, 0, 2, 0, 1, 0, 0, 4, 0, 0, 0, 2, 1, 0, 3, 4, 3, 0, 4, 4, 0, 3, 0, 4, 0, 1, 1, 4, 0, 2, 3, 1, 2, 0, 0, 1, 4, 2, 0, 0, 1, 1, 0, 0, 0, 4, 0, 0, 1, 0, 2, 2, 1, 2, 4, 3, 0, 2, 1, 3, 2, 1, 0, 1, 1, 3, 4, 0, 0, 4, 0, 2, 3, 3, 1, 0, 0, 0, 3, 4, 2, 2, 0, 4, 1, 3, 4, 0, 4, 2, 2, 1, 4, 1, 3, 3, 4, 0, 3, 3, 4, 1, 3, 3, 3, 2, 0, 2, 1, 3, 2, 0, 3, 4, 2, 1, 4, 2, 3, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 3, 1, 0, 1, 1, 0, 0, 0, 3, 2, 4, 1, 0, 2, 3, 2, 4, 2, 1, 0, 1, 3, 4, 1, 2, 4, 1, 0, 2, 2, 0, 4, 0, 0, 3, 3, 1, 4, 1, 0, 2, 2, 4, 1, 1, 1, 3, 0, 0, 0, 0, 0, 4, 3, 2, 2, 2, 3, 3, 0, 2, 1, 1, 1, 1, 3, 3, 4, 3, 3, 2, 4, 1, 1, 3, 1, 1, 4, 4, 0, 3, 2, 3, 3, 3, 1, 2, 2, 0, 1, 1, 0, 3, 0, 0, 1, 1, 1, 0, 4, 1, 2, 0, 0, 2, 3, 0, 3, 1, 4, 4, 1, 3, 0, 3, 3, 4, 2, 2, 2, 3, 2, 4, 4, 0, 2, 2, 1, 3, 1, 1, 3, 2, 2, 1, 0, 3, 2, 3, 0, 2, 3, 3, 4, 1, 4, 0, 4, 4, 3, 2, 3, 2, 0, 1, 3, 1, 3, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 4, 4, 1, 0, 3, 2, 4, 4, 1, 0, 4, 4, 3, 1, 4, 4, 4, 1, 0, 0, 1, 2, 4, 1, 4, 3, 4, 0, 4, 4, 1, 0, 4, 0, 3, 4, 4, 0, 4, 3, 4, 3, 1, 1, 0, 2, 4, 0, 2, 4, 2, 2, 2, 3, 2, 2, 0, 4, 3, 1, 4, 3, 2, 1, 2, 4, 0, 2, 2]
pubkeycol1089 = [2, 2, 0, 2, 1, 0, 4, 1, 1, 0, 1, 2, 2, 0, 3, 2, 1, 0, 4, 1, 0, 3, 1, 2, 4, 0, 2, 4, 1, 2, 3, 0, 2, 3, 1, 2, 1, 2, 2, 1, 2, 2, 2, 3, 3, 4, 1, 2, 4, 3, 0, 3, 0, 0, 3, 0, 4, 1, 1, 1, 0, 3, 4, 1, 3, 2, 4, 0, 3, 2, 1, 1, 0, 1, 2, 4, 3, 3, 4, 1, 0, 0, 0, 1, 2, 4, 2, 1, 0, 4, 3, 1, 2, 1, 0, 1, 4, 1, 0, 1, 0, 3, 3, 2, 4, 2, 3, 1, 1, 4, 2, 3, 4, 3, 2, 2, 2, 2, 4, 2, 1, 0, 4, 4, 0, 2, 4, 4, 4, 3, 2, 1, 0, 0, 1, 2, 0, 0, 1, 3, 4, 3, 1, 3, 3, 2, 0, 0, 0, 1, 0, 2, 0, 1, 4, 1, 4, 3, 2, 2, 4, 0, 0, 2, 3, 1, 2, 1, 4, 2, 2, 4, 4, 3, 1, 3, 1, 2, 1, 0, 0, 0, 1, 4, 0, 2, 0, 4, 4, 2, 2, 3, 1, 1, 0, 1, 4, 0, 1, 4, 2, 1, 4, 3, 0, 0, 0, 1, 0, 4, 3, 3, 0, 1, 2, 2, 4, 4, 4, 0, 0, 1, 3, 2, 0, 1, 2, 1, 0, 4, 1, 2, 1, 4, 2, 4, 2, 0, 2, 3, 1, 3, 0, 4, 3, 3, 4, 2, 1, 0, 2, 1, 4, 3, 3, 2, 1, 4, 0, 4, 0, 0, 2, 1, 0, 1, 4, 4, 3, 2, 4, 2, 0, 0, 4, 1, 1, 2, 3, 4, 2, 2, 3, 4, 3, 0, 2, 2, 3, 4, 1, 0, 3, 3, 1, 3, 4, 3, 0, 3, 4, 4, 4, 0, 0, 4, 1, 2, 3, 0, 4, 4, 0, 3, 1, 2, 4, 2, 2, 1, 1, 3, 1, 1, 0, 0, 4, 2, 4, 2, 0, 2, 2, 4, 4, 2, 4, 4, 0, 2, 0, 3, 4, 0, 0, 0, 1, 2, 4, 1, 0, 3, 1, 2, 4, 4, 2, 0, 4, 0, 2, 2, 3, 4, 0, 2, 3, 3, 0, 3, 2, 2, 2, 1, 2, 3, 1, 2, 3, 0, 3, 0, 4, 0, 2, 0, 4, 0, 2, 1, 3, 4, 4, 1, 3, 1, 2, 0, 4, 0, 0, 4, 3, 1, 3, 3, 1, 3, 3, 0, 3, 2, 0, 4, 3, 1, 3, 4, 4, 1, 4, 4, 4, 3, 1, 2, 1, 3, 0, 1, 0, 4, 3, 2, 1, 1, 2, 4, 0, 0, 1, 4, 3, 1, 2, 1, 3, 3, 0, 3, 2, 0, 4, 4, 2, 4, 1, 4, 1, 4, 2, 4, 0, 3, 4, 1, 2, 4, 2, 4, 3, 2, 2, 4, 0, 1, 2, 1, 3, 4, 2, 3, 3, 0, 0, 3, 3, 3, 3, 2, 4, 0, 2, 1, 2, 1, 1, 4, 3, 1, 2, 1, 1, 1, 0]
pubkeycol1090 = [0, 4, 0, 0, 3, 1, 2, 0, 4, 1, 4, 4, 0, 2, 4, 3, 2, 1, 4, 0, 0, 1, 3, 3, 2, 4, 4, 1, 0, 3, 0, 4, 0, 1, 1, 2, 3, 2, 3, 0, 4, 0, 0, 0, 2, 4, 4, 0, 4, 1, 2, 3, 2, 4, 4, 2, 1, 0, 3, 2, 4, 0, 1, 0, 2, 0, 3, 0, 4, 0, 3, 1, 0, 3, 3, 1, 4, 2, 3, 3, 4, 4, 0, 2, 0, 4, 1, 0, 0, 4, 1, 0, 1, 0, 0, 0, 1, 4, 2, 0, 3, 0, 4, 0, 1, 1, 1, 1, 1, 4, 2, 4, 4, 3, 2, 4, 2, 0, 1, 1, 0, 0, 4, 0, 4, 0, 0, 0, 0, 3, 2, 2, 1, 2, 4, 4, 0, 0, 1, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 1, 2, 2, 3, 1, 3, 4, 1, 3, 1, 2, 3, 3, 4, 1, 0, 1, 2, 0, 0, 3, 3, 4, 3, 2, 1, 4, 0, 1, 0, 4, 4, 1, 0, 4, 3, 0, 2, 1, 4, 1, 0, 0, 4, 2, 1, 0, 0, 1, 3, 1, 4, 2, 0, 4, 3, 1, 2, 2, 4, 2, 0, 1, 2, 1, 4, 0, 3, 3, 3, 3, 3, 0, 1, 0, 3, 1, 4, 2, 1, 0, 1, 0, 4, 1, 2, 1, 2, 4, 4, 0, 1, 1, 1, 4, 2, 3, 3, 3, 3, 2, 2, 3, 0, 0, 0, 3, 0, 2, 4, 3, 2, 2, 1, 1, 4, 2, 2, 3, 3, 2, 0, 1, 3, 2, 4, 1, 0, 4, 4, 2, 3, 0, 1, 2, 3, 0, 4, 0, 2, 0, 0, 1, 4, 1, 4, 2, 0, 3, 0, 4, 3, 4, 3, 1, 3, 1, 3, 2, 0, 4, 4, 3, 3, 3, 4, 3, 2, 2, 3, 4, 4, 1, 2, 3, 4, 2, 2, 3, 0, 2, 4, 0, 3, 1, 3, 0, 4, 2, 3, 0, 3, 0, 0, 3, 1, 1, 2, 0, 3, 0, 1, 1, 0, 4, 2, 3, 3, 2, 4, 0, 1, 4, 3, 3, 0, 4, 3, 1, 3, 3, 0, 4, 3, 1, 1, 0, 3, 4, 1, 2, 2, 4, 3, 4, 1, 4, 0, 4, 2, 1, 1, 3, 3, 4, 0, 0, 0, 2, 0, 0, 4, 0, 3, 2, 0, 4, 4, 0, 3, 3, 0, 3, 0, 0, 1, 1, 3, 0, 0, 1, 4, 3, 1, 2, 3, 3, 4, 1, 2, 1, 3, 1, 3, 4, 3, 2, 4, 1, 0, 4, 4, 2, 4, 4, 3, 2, 4, 4, 1, 0, 0, 0, 1, 0, 0, 0, 3, 3, 2, 2, 1, 0, 4, 0, 1, 1, 3, 1, 3, 3, 0, 4, 3, 3, 4, 1, 1, 0, 2, 3, 1, 1, 4, 2, 2, 1, 1, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 1, 2, 1, 3, 3, 3, 4, 2]
pubkeycol1091 = [4, 2, 1, 4, 2, 0, 1, 1, 2, 1, 1, 3, 2, 2, 1, 3, 0, 3, 1, 2, 1, 3, 3, 3, 4, 1, 4, 0, 0, 4, 0, 4, 0, 1, 4, 0, 1, 3, 1, 2, 3, 3, 3, 0, 2, 2, 2, 4, 4, 4, 3, 2, 2, 0, 3, 2, 4, 1, 0, 4, 3, 2, 0, 1, 4, 2, 3, 1, 3, 2, 3, 0, 2, 2, 3, 0, 1, 3, 2, 2, 0, 2, 3, 4, 2, 0, 2, 0, 0, 0, 3, 4, 2, 0, 0, 3, 4, 2, 3, 0, 4, 4, 1, 1, 0, 1, 1, 0, 3, 1, 1, 0, 1, 2, 0, 2, 0, 3, 3, 4, 2, 2, 0, 0, 3, 0, 4, 3, 1, 2, 1, 3, 4, 4, 3, 2, 2, 1, 4, 0, 0, 4, 2, 2, 0, 4, 3, 3, 4, 1, 0, 2, 2, 3, 1, 0, 4, 4, 3, 3, 2, 2, 0, 0, 0, 3, 1, 3, 1, 2, 3, 1, 1, 4, 2, 1, 2, 3, 3, 2, 1, 1, 3, 1, 0, 4, 1, 2, 4, 3, 0, 0, 4, 0, 4, 1, 0, 0, 1, 4, 4, 1, 4, 4, 2, 1, 0, 3, 3, 2, 2, 1, 2, 3, 4, 0, 1, 1, 1, 4, 1, 1, 0, 2, 0, 4, 3, 2, 4, 4, 2, 0, 4, 3, 4, 4, 4, 3, 4, 4, 2, 0, 0, 1, 3, 4, 0, 1, 4, 0, 2, 2, 0, 4, 1, 0, 1, 2, 1, 3, 0, 2, 2, 2, 2, 1, 2, 4, 1, 3, 3, 0, 4, 2, 4, 1, 4, 4, 2, 0, 4, 1, 3, 1, 1, 1, 1, 0, 0, 1, 2, 3, 4, 1, 3, 4, 3, 4, 2, 4, 0, 4, 2, 1, 0, 2, 3, 0, 4, 1, 1, 3, 3, 3, 4, 3, 4, 1, 0, 1, 1, 3, 0, 4, 2, 3, 3, 0, 3, 3, 0, 2, 1, 4, 4, 0, 2, 3, 4, 0, 3, 2, 4, 3, 3, 1, 4, 0, 4, 0, 1, 0, 2, 0, 2, 1, 1, 1, 3, 2, 3, 3, 4, 3, 3, 3, 1, 1, 4, 3, 3, 1, 1, 1, 3, 4, 3, 3, 1, 0, 0, 4, 2, 0, 2, 2, 1, 0, 0, 3, 2, 2, 1, 2, 4, 0, 2, 3, 0, 0, 3, 1, 4, 4, 3, 4, 4, 1, 0, 0, 0, 0, 1, 0, 1, 0, 3, 1, 0, 3, 3, 1, 0, 4, 0, 4, 0, 4, 1, 4, 2, 1, 0, 1, 1, 2, 1, 1, 3, 4, 4, 0, 2, 0, 0, 4, 1, 3, 4, 2, 2, 0, 0, 1, 0, 4, 2, 0, 0, 1, 3, 4, 3, 3, 2, 0, 2, 0, 2, 3, 0, 0, 1, 0, 2, 3, 2, 4, 4, 0, 0, 2, 1, 2, 4, 0, 2, 3, 3, 2, 0, 1, 2, 0, 1, 1, 2, 0, 3, 4, 3, 0, 4, 4, 1]
pubkeycol1092 = [3, 1, 4, 3, 0, 0, 1, 1, 2, 0, 3, 1, 3, 3, 2, 3, 4, 1, 4, 0, 4, 1, 2, 2, 0, 3, 2, 2, 0, 0, 2, 3, 2, 3, 3, 0, 0, 3, 4, 1, 1, 1, 4, 2, 4, 0, 1, 2, 4, 2, 2, 0, 2, 0, 1, 1, 0, 4, 3, 4, 0, 3, 4, 2, 4, 3, 0, 1, 2, 1, 1, 3, 4, 2, 1, 3, 4, 1, 1, 0, 3, 1, 2, 2, 3, 1, 4, 3, 1, 0, 3, 2, 1, 2, 0, 2, 1, 2, 4, 3, 2, 4, 3, 2, 3, 3, 4, 3, 4, 1, 3, 0, 3, 4, 0, 2, 1, 2, 1, 3, 3, 1, 1, 1, 2, 4, 0, 3, 3, 4, 0, 3, 1, 2, 1, 0, 3, 4, 0, 3, 1, 3, 4, 2, 1, 3, 0, 0, 1, 0, 0, 4, 2, 2, 2, 4, 2, 4, 2, 0, 1, 1, 3, 4, 0, 4, 3, 0, 2, 3, 4, 0, 1, 1, 4, 4, 2, 2, 2, 0, 1, 4, 4, 0, 4, 3, 4, 3, 1, 0, 2, 0, 1, 0, 4, 0, 0, 4, 0, 0, 3, 0, 0, 0, 2, 2, 3, 1, 1, 4, 4, 2, 0, 4, 0, 4, 1, 0, 1, 3, 0, 4, 3, 0, 3, 4, 2, 4, 1, 4, 2, 2, 1, 1, 2, 1, 4, 4, 2, 3, 2, 3, 1, 4, 4, 4, 3, 1, 4, 2, 0, 0, 4, 1, 2, 4, 3, 4, 2, 4, 0, 2, 1, 3, 1, 4, 4, 1, 0, 3, 0, 2, 3, 0, 3, 4, 4, 4, 4, 0, 0, 1, 4, 0, 0, 4, 4, 2, 1, 3, 3, 4, 0, 0, 4, 1, 2, 0, 2, 2, 0, 4, 1, 4, 1, 2, 3, 3, 1, 2, 3, 2, 0, 2, 2, 3, 1, 2, 1, 2, 4, 3, 2, 0, 1, 0, 4, 4, 4, 4, 3, 2, 3, 4, 2, 0, 3, 3, 2, 4, 2, 1, 4, 1, 1, 1, 2, 0, 0, 3, 4, 4, 2, 4, 1, 1, 0, 1, 4, 3, 3, 3, 2, 1, 4, 2, 3, 1, 0, 3, 3, 1, 0, 0, 1, 0, 2, 4, 3, 1, 1, 1, 2, 2, 3, 1, 1, 0, 3, 2, 0, 1, 0, 3, 3, 0, 1, 3, 0, 2, 4, 3, 4, 3, 1, 0, 2, 3, 0, 3, 0, 3, 4, 2, 3, 4, 4, 2, 1, 2, 3, 1, 4, 1, 3, 4, 3, 4, 3, 2, 0, 0, 4, 0, 0, 0, 1, 0, 2, 3, 0, 3, 2, 0, 0, 4, 2, 4, 3, 2, 0, 4, 3, 1, 3, 3, 4, 3, 1, 0, 1, 4, 3, 3, 2, 3, 1, 4, 2, 4, 2, 1, 1, 2, 1, 0, 1, 4, 3, 2, 0, 4, 1, 3, 2, 3, 2, 4, 1, 2, 2, 3, 0, 0, 3, 0, 1, 2, 3, 4, 2, 1, 0, 2, 1]
pubkeycol1093 = [3, 4, 4, 3, 0, 1, 2, 1, 2, 4, 4, 4, 0, 0, 3, 3, 3, 2, 2, 3, 4, 0, 1, 2, 2, 2, 2, 4, 1, 0, 1, 2, 4, 1, 4, 3, 4, 2, 2, 4, 0, 2, 3, 3, 3, 1, 2, 1, 3, 0, 2, 3, 0, 0, 3, 1, 3, 4, 4, 0, 4, 1, 4, 3, 0, 1, 3, 3, 3, 1, 1, 4, 1, 2, 3, 1, 4, 2, 0, 3, 1, 2, 2, 4, 4, 4, 3, 0, 1, 1, 2, 0, 0, 0, 4, 4, 2, 4, 0, 0, 1, 4, 4, 0, 3, 0, 2, 1, 1, 3, 1, 1, 4, 4, 0, 4, 3, 0, 3, 2, 1, 2, 0, 3, 2, 2, 0, 3, 3, 0, 0, 2, 4, 1, 0, 3, 2, 2, 0, 2, 2, 3, 1, 4, 0, 3, 1, 3, 2, 1, 1, 3, 0, 1, 1, 3, 4, 0, 0, 4, 1, 1, 0, 0, 3, 1, 3, 1, 3, 0, 4, 3, 4, 4, 0, 4, 1, 4, 2, 1, 4, 3, 4, 2, 4, 4, 0, 0, 1, 2, 3, 3, 2, 0, 0, 4, 3, 0, 1, 0, 0, 2, 1, 4, 0, 4, 3, 2, 3, 0, 0, 3, 0, 3, 0, 2, 3, 0, 3, 4, 0, 3, 4, 1, 2, 4, 4, 0, 3, 0, 3, 1, 2, 2, 4, 3, 1, 3, 3, 3, 0, 3, 3, 0, 3, 4, 3, 3, 1, 3, 4, 0, 2, 3, 0, 0, 3, 3, 2, 0, 0, 4, 2, 2, 3, 0, 4, 1, 2, 3, 2, 4, 0, 2, 4, 4, 1, 3, 1, 0, 3, 2, 3, 4, 0, 2, 4, 4, 0, 4, 0, 1, 2, 4, 1, 4, 2, 2, 4, 1, 4, 2, 0, 2, 3, 0, 3, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 4, 3, 4, 1, 3, 1, 2, 1, 3, 1, 1, 4, 2, 4, 0, 3, 0, 4, 2, 2, 0, 2, 0, 2, 1, 4, 0, 3, 3, 1, 4, 2, 3, 2, 1, 4, 0, 1, 3, 2, 3, 1, 1, 1, 3, 0, 1, 2, 0, 0, 2, 3, 3, 2, 0, 3, 3, 4, 0, 1, 2, 0, 4, 4, 3, 2, 2, 1, 2, 4, 1, 1, 2, 3, 1, 1, 2, 1, 2, 3, 0, 2, 0, 1, 1, 2, 1, 2, 3, 3, 2, 4, 0, 1, 1, 3, 0, 1, 2, 3, 4, 0, 3, 1, 3, 2, 3, 3, 0, 4, 4, 4, 0, 4, 4, 1, 0, 2, 4, 2, 2, 0, 3, 3, 4, 2, 2, 0, 3, 1, 3, 0, 3, 4, 4, 1, 2, 4, 3, 0, 3, 0, 4, 0, 1, 0, 0, 2, 4, 4, 2, 2, 4, 1, 0, 0, 2, 1, 4, 1, 2, 0, 0, 1, 3, 0, 2, 0, 2, 2, 1, 3, 0, 1, 0, 1, 3, 0, 0, 3, 1, 1, 0, 0, 1]
pubkeycol1094 = [4, 1, 0, 0, 1, 4, 4, 0, 4, 1, 2, 3, 0, 1, 4, 3, 3, 4, 1, 3, 2, 2, 2, 1, 2, 4, 0, 4, 2, 4, 4, 0, 4, 1, 3, 4, 4, 2, 0, 2, 3, 1, 1, 1, 0, 2, 3, 1, 4, 4, 0, 4, 1, 1, 2, 1, 4, 1, 3, 0, 1, 1, 3, 4, 0, 3, 3, 2, 3, 3, 4, 0, 4, 0, 3, 1, 3, 0, 3, 1, 3, 2, 0, 3, 1, 2, 4, 3, 0, 4, 2, 1, 4, 4, 0, 3, 3, 0, 0, 0, 1, 4, 3, 2, 1, 0, 2, 3, 2, 2, 0, 1, 2, 4, 1, 2, 0, 3, 3, 3, 1, 3, 4, 4, 4, 0, 1, 4, 2, 4, 3, 0, 0, 0, 0, 2, 3, 3, 0, 0, 4, 3, 3, 2, 3, 4, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 3, 4, 3, 1, 3, 0, 2, 0, 4, 3, 1, 0, 2, 1, 4, 2, 4, 0, 2, 1, 3, 0, 0, 3, 0, 0, 2, 4, 1, 0, 1, 1, 1, 4, 4, 0, 2, 4, 2, 0, 2, 1, 3, 2, 1, 1, 4, 2, 3, 4, 4, 1, 0, 4, 1, 2, 2, 4, 1, 0, 4, 3, 2, 1, 0, 4, 3, 3, 4, 2, 1, 1, 1, 4, 1, 3, 4, 4, 3, 1, 1, 1, 1, 3, 3, 1, 3, 0, 0, 3, 2, 0, 2, 3, 2, 0, 2, 3, 0, 3, 4, 2, 4, 2, 3, 1, 4, 4, 2, 4, 1, 2, 2, 2, 0, 4, 0, 3, 3, 4, 3, 1, 2, 2, 3, 1, 0, 3, 0, 2, 3, 4, 0, 2, 2, 1, 0, 4, 1, 3, 2, 0, 2, 0, 4, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 4, 2, 4, 1, 3, 1, 1, 4, 0, 2, 3, 4, 2, 0, 3, 4, 4, 1, 2, 4, 1, 3, 2, 0, 2, 3, 3, 2, 3, 4, 4, 3, 2, 3, 3, 3, 3, 4, 0, 1, 1, 2, 0, 4, 3, 4, 0, 4, 3, 3, 0, 1, 4, 4, 1, 1, 2, 3, 0, 0, 0, 0, 2, 4, 0, 0, 1, 2, 3, 3, 4, 0, 3, 1, 1, 2, 1, 0, 3, 1, 1, 3, 1, 1, 4, 1, 2, 4, 2, 4, 1, 2, 4, 0, 0, 4, 4, 1, 3, 2, 1, 0, 0, 4, 3, 0, 0, 3, 3, 3, 3, 4, 0, 0, 2, 1, 3, 0, 1, 3, 4, 4, 2, 3, 4, 0, 0, 4, 3, 4, 0, 4, 0, 4, 2, 2, 1, 4, 4, 0, 0, 1, 0, 1, 4, 3, 3, 0, 1, 4, 0, 0, 1, 2, 3, 0, 3, 3, 1, 3, 3, 1, 2, 2, 3, 2, 1, 4, 4, 2, 1, 3, 0, 0, 1, 3, 3, 1, 4, 0, 0, 0, 2, 3, 2, 1, 3, 1, 1, 0, 2, 0, 2]
pubkeycol1095 = [4, 4, 1, 1, 1, 2, 3, 4, 4, 2, 0, 1, 2, 1, 3, 4, 3, 0, 4, 0, 2, 4, 3, 2, 2, 4, 0, 4, 4, 1, 4, 1, 0, 2, 2, 1, 1, 0, 3, 3, 3, 2, 2, 2, 1, 0, 4, 2, 4, 0, 2, 2, 3, 1, 1, 3, 4, 3, 3, 1, 2, 1, 1, 3, 1, 3, 4, 3, 4, 1, 2, 1, 1, 2, 1, 4, 3, 4, 3, 1, 3, 0, 4, 1, 4, 4, 4, 1, 3, 3, 0, 3, 2, 4, 1, 2, 0, 0, 1, 3, 4, 1, 2, 3, 2, 2, 2, 1, 4, 1, 1, 2, 0, 3, 4, 0, 0, 0, 3, 2, 3, 0, 2, 3, 4, 1, 0, 0, 4, 3, 1, 3, 2, 1, 2, 0, 1, 4, 4, 1, 3, 0, 4, 0, 0, 1, 4, 2, 2, 3, 2, 4, 2, 3, 1, 3, 0, 3, 0, 4, 1, 3, 3, 4, 3, 1, 1, 3, 1, 3, 2, 3, 4, 4, 3, 2, 2, 4, 2, 2, 1, 4, 1, 3, 1, 0, 3, 4, 1, 1, 2, 4, 2, 4, 3, 2, 3, 3, 1, 0, 4, 4, 3, 0, 1, 4, 2, 4, 3, 2, 3, 2, 0, 1, 1, 0, 4, 3, 1, 0, 2, 4, 0, 3, 3, 3, 4, 2, 0, 0, 1, 4, 2, 1, 4, 4, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 4, 1, 0, 2, 0, 0, 2, 1, 4, 0, 1, 2, 2, 0, 1, 0, 4, 2, 0, 0, 3, 2, 0, 1, 2, 0, 0, 1, 0, 1, 3, 2, 0, 0, 2, 1, 1, 2, 0, 3, 3, 2, 4, 1, 3, 3, 1, 4, 2, 2, 0, 2, 1, 4, 2, 3, 1, 0, 1, 2, 2, 2, 1, 4, 2, 0, 2, 1, 0, 3, 1, 2, 2, 3, 2, 4, 4, 1, 4, 4, 1, 1, 2, 0, 4, 1, 1, 4, 1, 3, 1, 4, 2, 3, 1, 1, 3, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 4, 4, 3, 4, 1, 3, 1, 2, 1, 4, 0, 1, 3, 4, 0, 3, 1, 1, 1, 3, 2, 4, 1, 2, 4, 1, 3, 1, 4, 0, 0, 4, 4, 4, 2, 4, 1, 2, 0, 4, 4, 4, 3, 3, 1, 2, 4, 4, 4, 1, 3, 4, 4, 4, 2, 0, 2, 4, 3, 4, 0, 0, 4, 4, 4, 3, 1, 2, 4, 4, 3, 2, 0, 3, 2, 2, 2, 1, 4, 0, 0, 3, 3, 1, 3, 3, 2, 4, 0, 3, 0, 2, 2, 3, 0, 4, 4, 1, 3, 0, 3, 3, 0, 2, 1, 1, 4, 3, 1, 1, 1, 1, 2, 1, 4, 2, 0, 3, 0, 1, 2, 3, 1, 4, 1, 4, 0, 3, 2, 0, 1, 4, 2, 2, 0, 4, 1, 0, 1, 0, 3, 2, 4, 4, 1, 1, 3, 0, 2, 0]
pubkeycol1096 = [2, 3, 0, 2, 2, 3, 3, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 3, 1, 2, 3, 2, 0, 0, 3, 4, 3, 3, 2, 2, 1, 1, 2, 1, 4, 0, 4, 3, 0, 1, 3, 4, 4, 3, 2, 1, 2, 3, 3, 3, 4, 2, 0, 0, 1, 3, 3, 1, 4, 1, 2, 4, 4, 3, 2, 3, 3, 4, 0, 1, 3, 4, 1, 0, 0, 2, 4, 1, 4, 3, 0, 3, 4, 2, 4, 0, 4, 0, 2, 1, 4, 2, 2, 0, 4, 3, 0, 0, 0, 0, 4, 1, 4, 4, 3, 1, 4, 1, 1, 1, 1, 3, 0, 4, 4, 2, 2, 2, 1, 0, 3, 4, 0, 4, 0, 2, 3, 1, 0, 4, 2, 0, 1, 2, 2, 4, 3, 3, 1, 2, 0, 1, 0, 1, 2, 2, 2, 3, 3, 2, 3, 4, 3, 4, 3, 4, 1, 0, 4, 3, 1, 1, 4, 3, 2, 4, 1, 2, 0, 2, 1, 4, 0, 3, 1, 3, 2, 2, 1, 0, 1, 4, 3, 0, 4, 2, 0, 0, 1, 3, 4, 2, 0, 4, 3, 4, 4, 1, 0, 0, 1, 0, 1, 2, 3, 4, 1, 2, 0, 1, 1, 1, 3, 3, 0, 4, 0, 0, 1, 1, 2, 0, 2, 0, 0, 3, 4, 0, 0, 2, 3, 4, 4, 1, 3, 1, 0, 2, 3, 1, 1, 3, 0, 1, 4, 1, 3, 1, 0, 2, 0, 1, 4, 0, 3, 2, 3, 2, 3, 3, 1, 2, 2, 2, 4, 2, 0, 4, 1, 3, 3, 4, 3, 0, 0, 4, 4, 1, 1, 2, 4, 2, 0, 4, 4, 1, 4, 4, 4, 3, 1, 4, 3, 1, 0, 4, 4, 4, 4, 4, 4, 2, 1, 2, 0, 3, 1, 4, 4, 2, 1, 0, 1, 3, 0, 4, 3, 4, 1, 2, 3, 2, 3, 4, 4, 4, 0, 2, 3, 4, 0, 2, 0, 1, 2, 3, 3, 2, 0, 0, 4, 3, 1, 4, 3, 1, 4, 0, 2, 4, 3, 2, 0, 1, 4, 2, 4, 4, 0, 0, 2, 4, 4, 4, 3, 4, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 3, 2, 2, 2, 2, 2, 3, 2, 1, 0, 0, 1, 3, 1, 1, 4, 4, 2, 4, 3, 2, 3, 2, 1, 2, 3, 3, 2, 4, 1, 4, 2, 0, 3, 3, 3, 1, 0, 0, 3, 0, 1, 2, 3, 3, 2, 0, 3, 3, 2, 4, 4, 1, 4, 2, 3, 1, 0, 4, 1, 4, 2, 4, 4, 3, 2, 4, 3, 1, 2, 2, 4, 1, 0, 0, 1, 0, 4, 0, 1, 3, 3, 4, 2, 3, 4, 3, 3, 4, 0, 2, 4, 1, 3, 2, 4, 1, 2, 3, 2, 1, 4, 3, 1, 3, 4, 2, 3, 0, 1, 2, 1, 2, 4, 0, 3, 1, 4, 4, 1, 3, 0, 4, 1, 2]
pubkeycol1097 = [2, 3, 3, 1, 1, 3, 0, 4, 1, 1, 3, 2, 0, 3, 1, 3, 4, 0, 0, 3, 0, 4, 1, 3, 1, 3, 4, 3, 0, 4, 1, 4, 3, 1, 1, 2, 3, 0, 0, 0, 4, 0, 2, 3, 1, 4, 3, 0, 3, 1, 3, 4, 4, 2, 0, 3, 3, 3, 4, 3, 0, 4, 2, 1, 0, 1, 2, 0, 4, 2, 1, 0, 0, 1, 1, 3, 2, 3, 2, 1, 2, 4, 2, 0, 3, 4, 2, 3, 4, 2, 0, 0, 1, 2, 1, 4, 4, 0, 0, 0, 4, 1, 2, 2, 0, 2, 1, 3, 4, 0, 0, 0, 4, 3, 1, 2, 1, 1, 3, 2, 1, 3, 3, 0, 2, 3, 4, 4, 2, 4, 3, 2, 1, 2, 0, 0, 3, 3, 4, 1, 0, 1, 4, 2, 1, 2, 2, 1, 4, 3, 1, 4, 1, 2, 4, 1, 2, 0, 2, 3, 0, 1, 2, 3, 0, 3, 2, 1, 3, 1, 4, 4, 0, 4, 2, 3, 3, 3, 2, 4, 1, 3, 4, 1, 0, 2, 1, 4, 2, 2, 0, 3, 3, 3, 2, 3, 2, 1, 4, 0, 2, 3, 2, 0, 1, 3, 3, 1, 2, 3, 3, 0, 2, 3, 2, 1, 4, 0, 0, 2, 4, 0, 3, 3, 1, 1, 3, 3, 3, 3, 2, 4, 2, 3, 3, 2, 1, 3, 2, 2, 2, 1, 0, 1, 2, 4, 1, 0, 2, 3, 0, 0, 4, 0, 2, 0, 3, 3, 0, 1, 1, 3, 2, 0, 0, 2, 0, 3, 1, 0, 4, 3, 3, 2, 4, 3, 2, 3, 4, 3, 2, 1, 1, 1, 4, 4, 1, 3, 2, 3, 4, 1, 4, 0, 0, 3, 0, 4, 2, 4, 4, 3, 1, 4, 0, 4, 3, 4, 2, 0, 3, 0, 4, 4, 4, 1, 0, 2, 4, 1, 0, 3, 0, 1, 1, 2, 4, 4, 4, 4, 4, 2, 2, 3, 3, 2, 3, 2, 4, 3, 1, 0, 0, 1, 1, 4, 0, 2, 1, 2, 3, 1, 1, 4, 1, 2, 2, 0, 3, 1, 0, 2, 0, 4, 3, 4, 3, 1, 4, 1, 4, 1, 4, 3, 0, 1, 1, 1, 4, 2, 2, 1, 3, 2, 4, 3, 4, 1, 4, 2, 1, 0, 4, 0, 3, 4, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 4, 4, 3, 0, 2, 1, 4, 1, 4, 2, 0, 4, 1, 3, 1, 4, 2, 0, 0, 1, 0, 4, 0, 4, 4, 2, 4, 1, 0, 1, 0, 1, 4, 1, 1, 0, 4, 4, 4, 4, 2, 2, 3, 2, 0, 3, 3, 1, 3, 3, 1, 1, 4, 3, 4, 1, 4, 1, 2, 3, 0, 3, 4, 0, 0, 0, 2, 1, 2, 3, 1, 0, 4, 1, 3, 2, 2, 2, 0, 2, 3, 2, 4, 1, 1, 3, 2, 2, 1, 3, 3, 1, 0, 3, 4, 3, 1, 3]
pubkeycol1098 = [3, 4, 0, 4, 1, 4, 0, 0, 2, 3, 2, 0, 3, 3, 3, 3, 4, 0, 1, 4, 3, 4, 0, 3, 2, 3, 2, 0, 2, 2, 1, 4, 0, 4, 0, 2, 1, 2, 0, 2, 2, 2, 3, 1, 4, 2, 4, 2, 1, 0, 2, 2, 1, 2, 2, 4, 2, 1, 1, 0, 4, 0, 2, 3, 0, 0, 0, 4, 0, 2, 0, 0, 4, 0, 3, 0, 2, 2, 0, 3, 4, 0, 4, 0, 3, 4, 4, 3, 3, 4, 4, 0, 3, 3, 0, 2, 2, 0, 1, 1, 2, 4, 2, 2, 0, 0, 0, 0, 2, 4, 1, 2, 4, 3, 0, 3, 3, 3, 1, 4, 0, 2, 1, 1, 2, 4, 2, 4, 0, 4, 1, 3, 2, 2, 1, 3, 4, 2, 1, 1, 3, 4, 0, 1, 2, 0, 3, 1, 0, 0, 2, 0, 1, 1, 4, 0, 2, 2, 3, 3, 0, 0, 3, 1, 3, 1, 0, 2, 3, 3, 0, 1, 3, 3, 4, 0, 0, 0, 0, 4, 1, 2, 3, 0, 3, 3, 1, 3, 3, 1, 1, 3, 3, 2, 0, 4, 2, 4, 0, 3, 0, 0, 2, 2, 1, 0, 0, 1, 3, 4, 1, 3, 0, 3, 4, 1, 1, 1, 4, 1, 0, 0, 1, 3, 0, 4, 0, 1, 2, 0, 2, 0, 3, 0, 3, 0, 3, 4, 3, 4, 2, 1, 4, 1, 1, 0, 2, 2, 2, 0, 3, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 4, 1, 1, 0, 0, 0, 1, 3, 0, 1, 0, 4, 4, 0, 1, 4, 4, 2, 1, 2, 3, 1, 2, 0, 2, 2, 3, 2, 4, 1, 2, 4, 4, 0, 0, 2, 1, 2, 1, 3, 4, 3, 2, 3, 1, 1, 3, 1, 4, 3, 1, 1, 2, 1, 4, 1, 2, 4, 2, 0, 1, 1, 2, 1, 4, 2, 2, 3, 4, 4, 1, 4, 2, 2, 2, 1, 1, 3, 3, 4, 3, 0, 4, 4, 3, 0, 0, 4, 1, 2, 2, 2, 0, 2, 2, 2, 2, 4, 3, 4, 0, 3, 3, 0, 4, 4, 3, 0, 0, 4, 3, 0, 3, 4, 2, 1, 4, 2, 2, 0, 1, 0, 3, 1, 0, 1, 1, 2, 3, 4, 0, 3, 1, 2, 4, 3, 2, 3, 2, 4, 1, 3, 2, 1, 3, 1, 2, 0, 4, 4, 4, 0, 3, 3, 3, 1, 3, 1, 3, 3, 2, 1, 4, 4, 3, 2, 2, 0, 1, 0, 3, 4, 2, 1, 1, 1, 2, 4, 1, 1, 4, 3, 1, 1, 4, 3, 4, 3, 3, 4, 2, 0, 1, 0, 4, 3, 1, 1, 4, 4, 0, 4, 0, 1, 0, 3, 0, 2, 1, 4, 0, 3, 1, 2, 3, 1, 3, 1, 3, 1, 3, 0, 2, 2, 0, 1, 1, 4, 1, 0, 1, 0, 3, 4, 1, 4, 2, 1, 2, 2, 2, 2, 2]
pubkeycol1099 = [1, 2, 4, 0, 0, 0, 3, 2, 0, 0, 4, 0, 3, 0, 3, 2, 2, 2, 3, 4, 0, 4, 2, 0, 4, 3, 3, 0, 1, 0, 0, 0, 4, 4, 2, 0, 2, 3, 2, 0, 1, 3, 1, 2, 4, 1, 0, 0, 1, 2, 0, 0, 0, 0, 3, 3, 0, 1, 0, 3, 1, 0, 2, 0, 2, 2, 3, 3, 2, 2, 2, 3, 3, 2, 0, 1, 4, 3, 4, 0, 2, 2, 1, 4, 2, 3, 3, 0, 2, 3, 2, 4, 1, 3, 3, 4, 4, 4, 4, 2, 3, 1, 1, 0, 2, 0, 1, 4, 3, 0, 1, 1, 2, 3, 0, 2, 4, 4, 0, 1, 4, 0, 1, 4, 1, 1, 2, 2, 2, 3, 3, 4, 2, 2, 2, 0, 0, 2, 4, 0, 1, 1, 4, 0, 0, 0, 4, 0, 0, 1, 0, 1, 3, 0, 2, 1, 0, 0, 0, 4, 0, 2, 4, 3, 1, 4, 4, 4, 0, 2, 3, 0, 1, 1, 4, 1, 0, 1, 1, 0, 2, 3, 4, 3, 1, 4, 4, 4, 1, 3, 0, 2, 2, 1, 4, 3, 2, 1, 3, 4, 1, 2, 4, 0, 1, 1, 0, 2, 1, 3, 4, 4, 2, 2, 3, 2, 4, 2, 0, 2, 1, 1, 4, 1, 2, 3, 2, 3, 1, 4, 1, 2, 3, 0, 4, 3, 4, 2, 0, 1, 0, 0, 2, 0, 3, 4, 0, 3, 0, 1, 2, 1, 0, 3, 1, 3, 0, 1, 3, 4, 3, 3, 4, 2, 4, 2, 4, 3, 1, 4, 3, 2, 3, 2, 0, 3, 0, 4, 2, 1, 0, 3, 3, 3, 3, 3, 2, 2, 3, 0, 4, 0, 1, 0, 3, 0, 0, 3, 3, 3, 0, 1, 3, 1, 1, 2, 4, 4, 2, 2, 1, 3, 4, 3, 2, 3, 4, 1, 4, 0, 1, 3, 1, 2, 4, 2, 3, 0, 0, 3, 1, 3, 1, 0, 3, 1, 4, 4, 3, 3, 3, 0, 4, 2, 3, 2, 1, 1, 3, 2, 4, 1, 0, 0, 3, 0, 0, 2, 3, 2, 3, 4, 4, 4, 0, 1, 2, 3, 1, 2, 0, 2, 1, 0, 3, 1, 1, 4, 0, 0, 0, 1, 4, 1, 1, 3, 2, 3, 2, 3, 0, 2, 1, 0, 0, 2, 2, 1, 4, 2, 1, 3, 3, 1, 2, 1, 1, 3, 4, 3, 1, 3, 3, 3, 2, 4, 3, 3, 0, 0, 0, 1, 1, 4, 0, 0, 1, 3, 3, 3, 4, 4, 4, 0, 3, 3, 4, 4, 0, 4, 0, 4, 4, 4, 3, 4, 4, 3, 1, 4, 2, 3, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 4, 2, 2, 0, 0, 1, 4, 3, 3, 1, 0, 1, 3, 1, 4, 2, 2, 2, 3, 1, 4, 4, 2, 4, 4, 3, 0, 2, 3, 0, 4, 2, 1, 1, 0, 0, 3, 2, 4, 4, 3, 2]
pubkeycol1100 = [4, 0, 0, 3, 2, 1, 2, 1, 2, 1, 2, 4, 4, 4, 0, 4, 3, 3, 0, 2, 0, 1, 2, 4, 2, 2, 1, 1, 4, 3, 3, 4, 2, 4, 2, 3, 1, 3, 1, 4, 0, 2, 0, 0, 2, 1, 2, 3, 4, 4, 4, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 3, 0, 0, 2, 3, 2, 3, 0, 0, 4, 0, 3, 1, 4, 2, 3, 1, 1, 0, 3, 4, 1, 3, 1, 4, 1, 1, 0, 0, 3, 3, 4, 1, 0, 4, 2, 2, 1, 1, 2, 2, 4, 3, 2, 4, 2, 1, 2, 0, 4, 3, 4, 2, 0, 2, 2, 3, 3, 1, 3, 1, 3, 0, 4, 1, 1, 0, 3, 2, 2, 1, 2, 3, 2, 3, 1, 3, 3, 3, 0, 3, 2, 0, 0, 4, 2, 1, 4, 3, 4, 2, 0, 3, 1, 3, 3, 4, 1, 4, 4, 1, 0, 1, 4, 4, 4, 4, 4, 3, 3, 0, 4, 2, 2, 1, 1, 4, 1, 1, 2, 0, 1, 4, 2, 3, 2, 0, 4, 3, 1, 0, 3, 3, 3, 4, 3, 4, 0, 0, 0, 3, 3, 0, 3, 2, 1, 2, 0, 3, 2, 3, 4, 4, 2, 1, 0, 1, 4, 4, 2, 4, 4, 3, 0, 4, 2, 3, 2, 2, 2, 3, 1, 1, 4, 0, 1, 1, 0, 0, 4, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 2, 2, 3, 0, 3, 3, 4, 3, 1, 2, 0, 3, 0, 2, 0, 3, 0, 4, 4, 0, 2, 0, 3, 0, 4, 1, 0, 1, 2, 4, 0, 1, 1, 4, 0, 4, 2, 2, 4, 3, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 3, 1, 0, 0, 3, 4, 3, 4, 2, 1, 4, 1, 3, 0, 3, 4, 0, 3, 0, 4, 3, 1, 2, 3, 3, 0, 3, 0, 3, 3, 1, 4, 0, 3, 2, 0, 1, 1, 0, 3, 4, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 3, 2, 2, 2, 4, 4, 3, 4, 3, 3, 4, 3, 2, 4, 4, 2, 4, 0, 4, 3, 0, 2, 0, 0, 2, 0, 3, 0, 1, 1, 1, 0, 1, 2, 3, 0, 4, 0, 3, 3, 2, 0, 2, 0, 4, 3, 4, 2, 4, 2, 0, 3, 2, 3, 2, 1, 3, 3, 0, 1, 3, 1, 1, 1, 3, 1, 4, 3, 2, 3, 0, 0, 1, 3, 2, 1, 2, 2, 2, 3, 3, 4, 4, 0, 0, 1, 0, 1, 0, 3, 0, 3, 4, 1, 2, 4, 1, 3, 4, 4, 0, 3, 1, 3, 2, 1, 0, 4, 0, 2, 2, 3, 4, 3, 3, 2, 3, 0, 3, 3, 2, 1, 1, 3, 0, 3, 0, 4, 3, 0, 1, 3, 4, 1, 4, 0, 2, 1, 3, 4, 4, 1, 0, 2, 1, 2]
pubkeycol1101 = [0, 2, 1, 1, 1, 4, 0, 0, 0, 0, 3, 3, 2, 0, 3, 0, 3, 1, 4, 4, 0, 1, 3, 4, 3, 1, 3, 4, 2, 0, 4, 1, 2, 4, 0, 0, 2, 2, 2, 3, 1, 3, 1, 0, 4, 0, 3, 3, 0, 3, 0, 1, 1, 0, 1, 4, 0, 2, 1, 3, 2, 4, 4, 2, 2, 3, 0, 4, 3, 0, 1, 2, 4, 4, 3, 3, 2, 2, 3, 0, 2, 3, 4, 1, 4, 0, 1, 2, 4, 4, 2, 1, 2, 4, 0, 4, 3, 2, 3, 2, 1, 0, 2, 2, 3, 1, 2, 0, 2, 3, 3, 3, 0, 1, 1, 3, 2, 3, 1, 0, 2, 3, 3, 4, 4, 0, 3, 2, 3, 3, 4, 1, 4, 4, 0, 2, 2, 1, 1, 4, 3, 1, 0, 0, 4, 1, 4, 0, 1, 4, 2, 3, 3, 2, 1, 2, 1, 4, 2, 0, 1, 1, 1, 4, 0, 4, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 3, 2, 0, 1, 2, 1, 1, 0, 2, 0, 4, 2, 4, 2, 4, 0, 4, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 3, 3, 0, 4, 1, 0, 3, 0, 2, 4, 1, 0, 4, 3, 0, 2, 1, 0, 0, 1, 1, 2, 2, 3, 4, 4, 1, 1, 1, 2, 1, 2, 4, 1, 3, 2, 3, 0, 0, 1, 2, 1, 3, 0, 1, 3, 2, 4, 0, 2, 2, 4, 2, 4, 0, 3, 2, 1, 4, 3, 0, 2, 1, 3, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 3, 0, 3, 0, 2, 4, 2, 1, 1, 2, 0, 2, 0, 4, 2, 1, 1, 1, 3, 2, 0, 2, 3, 4, 1, 3, 3, 3, 2, 1, 1, 0, 1, 4, 0, 2, 4, 1, 4, 0, 1, 2, 1, 0, 2, 0, 3, 0, 1, 3, 4, 2, 1, 3, 3, 4, 0, 1, 1, 3, 1, 2, 2, 3, 1, 3, 2, 0, 1, 1, 0, 1, 1, 3, 3, 2, 4, 3, 3, 3, 2, 2, 4, 3, 2, 1, 3, 0, 2, 0, 0, 2, 1, 4, 0, 3, 4, 4, 3, 2, 0, 0, 0, 2, 2, 1, 3, 0, 2, 2, 0, 3, 4, 4, 3, 4, 3, 0, 4, 1, 3, 4, 2, 3, 2, 4, 4, 2, 2, 2, 0, 0, 4, 3, 2, 0, 2, 0, 2, 4, 1, 3, 0, 2, 3, 3, 4, 2, 3, 3, 0, 4, 1, 0, 2, 2, 2, 3, 3, 3, 0, 3, 4, 3, 1, 2, 3, 0, 0, 2, 3, 3, 2, 4, 0, 1, 3, 2, 4, 0, 3, 2, 1, 1, 1, 1, 0, 3, 1, 0, 4, 3, 3, 2, 1, 0, 4, 0, 4, 0, 3, 2, 0, 1, 4, 1, 1, 4, 1, 2, 0, 1, 0, 4, 4, 0, 0, 1, 2, 1, 1, 4]
pubkeycol1102 = [0, 4, 2, 2, 3, 4, 0, 0, 2, 3, 3, 4, 2, 2, 3, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 4, 0, 0, 2, 1, 3, 2, 2, 3, 4, 4, 3, 4, 3, 1, 0, 3, 0, 3, 4, 4, 1, 4, 3, 1, 1, 4, 1, 1, 4, 1, 4, 1, 1, 2, 3, 2, 2, 0, 2, 0, 4, 4, 0, 2, 4, 0, 2, 1, 0, 3, 2, 3, 1, 4, 4, 2, 0, 1, 3, 3, 4, 4, 4, 4, 4, 0, 0, 1, 3, 4, 4, 1, 1, 3, 3, 3, 4, 3, 3, 3, 3, 0, 1, 2, 4, 3, 4, 2, 2, 2, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 3, 3, 1, 4, 1, 4, 1, 3, 3, 4, 1, 4, 0, 3, 2, 0, 1, 1, 3, 0, 2, 3, 3, 0, 1, 4, 2, 2, 2, 3, 0, 0, 0, 1, 0, 0, 1, 3, 3, 4, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 4, 4, 0, 4, 4, 4, 2, 4, 3, 0, 3, 1, 0, 4, 1, 2, 2, 3, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 4, 2, 1, 2, 3, 1, 4, 2, 0, 0, 3, 1, 4, 4, 3, 4, 4, 1, 4, 2, 2, 1, 3, 0, 2, 4, 0, 4, 1, 3, 2, 1, 4, 4, 1, 1, 4, 1, 3, 4, 2, 3, 0, 1, 3, 0, 0, 3, 3, 0, 1, 0, 3, 4, 2, 1, 2, 3, 1, 2, 1, 4, 3, 1, 0, 3, 0, 1, 0, 0, 4, 4, 2, 0, 4, 0, 1, 1, 2, 0, 3, 3, 3, 0, 0, 3, 0, 2, 0, 4, 4, 4, 1, 4, 0, 4, 4, 1, 4, 2, 4, 3, 3, 0, 0, 3, 1, 2, 1, 2, 0, 4, 4, 3, 0, 2, 3, 2, 1, 4, 0, 1, 3, 2, 3, 4, 2, 0, 4, 0, 4, 0, 2, 0, 1, 1, 1, 1, 2, 3, 4, 0, 1, 2, 0, 1, 0, 4, 2, 2, 4, 0, 2, 2, 0, 2, 2, 2, 2, 4, 1, 0, 3, 3, 0, 1, 0, 0, 3, 3, 0, 3, 4, 4, 1, 3, 4, 1, 0, 2, 1, 0, 4, 2, 2, 4, 1, 1, 3, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 3, 0, 4, 2, 2, 4, 4, 4, 4, 0, 2, 1, 4, 3, 2, 2, 4, 3, 1, 0, 4, 3, 3, 3, 0, 0, 1, 1, 3, 4, 2, 4, 0, 2, 0, 2, 2, 3, 3, 0, 3, 2, 4, 1, 1, 2, 3, 0, 1, 1, 1, 3, 0, 2, 2, 1, 4, 1, 2, 3, 4, 2, 4, 4, 2, 0, 3, 1, 0, 0, 2, 4, 0, 1, 2, 4, 3, 1, 4, 1, 0, 3, 2, 3, 2, 2, 3, 0, 3, 3, 0, 0]
pubkeycol1103 = [3, 1, 1, 1, 3, 1, 1, 0, 3, 2, 3, 3, 4, 2, 3, 2, 2, 1, 4, 2, 4, 0, 4, 1, 1, 0, 0, 2, 1, 4, 3, 2, 2, 4, 2, 1, 4, 4, 1, 0, 0, 4, 0, 2, 1, 2, 1, 0, 0, 0, 3, 4, 3, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 4, 3, 4, 1, 3, 2, 0, 3, 2, 1, 4, 0, 0, 3, 1, 4, 3, 0, 3, 4, 1, 2, 0, 1, 2, 0, 1, 3, 0, 2, 2, 2, 3, 2, 4, 4, 1, 3, 4, 0, 2, 3, 2, 2, 0, 1, 3, 0, 3, 0, 4, 0, 2, 2, 4, 4, 3, 2, 3, 0, 1, 2, 1, 2, 3, 0, 2, 0, 2, 0, 0, 0, 3, 3, 1, 1, 2, 3, 2, 3, 1, 3, 1, 2, 3, 3, 1, 4, 1, 0, 0, 2, 3, 0, 2, 4, 1, 2, 4, 2, 2, 4, 1, 0, 1, 0, 4, 2, 4, 4, 0, 4, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 3, 3, 1, 3, 3, 4, 2, 2, 0, 2, 1, 0, 2, 1, 2, 4, 4, 4, 4, 2, 0, 1, 1, 2, 3, 0, 4, 4, 2, 1, 2, 1, 3, 2, 4, 0, 4, 3, 3, 2, 2, 4, 1, 0, 0, 2, 2, 2, 2, 2, 3, 2, 0, 3, 2, 1, 0, 3, 2, 4, 2, 0, 0, 2, 2, 3, 2, 4, 0, 1, 1, 1, 2, 3, 2, 3, 0, 4, 4, 1, 1, 4, 4, 3, 4, 4, 4, 2, 1, 3, 4, 3, 3, 4, 2, 4, 0, 2, 2, 0, 3, 1, 4, 4, 4, 0, 4, 3, 2, 4, 2, 0, 0, 2, 1, 4, 1, 4, 3, 4, 0, 2, 4, 1, 0, 3, 0, 1, 3, 3, 3, 2, 1, 4, 3, 2, 4, 1, 3, 4, 2, 4, 1, 1, 0, 3, 3, 0, 2, 4, 2, 2, 0, 0, 0, 2, 4, 0, 3, 0, 3, 1, 3, 3, 3, 0, 0, 3, 1, 4, 4, 1, 1, 1, 3, 2, 2, 3, 1, 2, 2, 0, 0, 3, 4, 4, 2, 3, 1, 0, 1, 4, 1, 4, 2, 1, 1, 1, 3, 1, 4, 0, 0, 2, 0, 4, 4, 4, 4, 1, 0, 2, 1, 0, 0, 2, 0, 4, 3, 3, 4, 3, 4, 0, 1, 1, 1, 1, 0, 2, 3, 3, 1, 2, 3, 0, 2, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 0, 2, 3, 0, 1, 0, 4, 4, 4, 0, 2, 0, 4, 1, 2, 1, 4, 1, 2, 4, 3, 3, 1, 4, 0, 2, 2, 0, 2, 3, 0, 1, 2, 3, 1, 2, 4, 1, 0, 3, 0, 2, 2, 0, 4, 1, 1, 0, 4, 3, 1, 3, 2, 3, 0, 4, 0, 0, 0, 2, 3, 4, 4, 3, 0, 4, 4, 1, 3, 4, 0]
pubkeycol1104 = [1, 4, 1, 2, 3, 3, 2, 0, 2, 1, 4, 3, 3, 3, 0, 4, 0, 2, 2, 4, 4, 3, 2, 3, 0, 1, 2, 3, 4, 1, 2, 4, 3, 0, 3, 1, 3, 2, 1, 1, 3, 2, 0, 3, 1, 2, 3, 2, 3, 4, 2, 2, 0, 0, 2, 4, 3, 4, 4, 1, 4, 1, 2, 2, 1, 4, 1, 2, 2, 1, 4, 2, 2, 0, 1, 2, 0, 1, 3, 1, 3, 4, 0, 4, 2, 4, 0, 1, 1, 0, 2, 2, 4, 2, 0, 1, 0, 0, 1, 4, 3, 3, 1, 3, 4, 0, 3, 3, 2, 2, 1, 2, 1, 3, 3, 1, 0, 1, 4, 3, 3, 0, 4, 3, 3, 1, 2, 0, 4, 1, 2, 2, 0, 2, 0, 2, 4, 0, 0, 1, 1, 4, 3, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 3, 4, 1, 1, 3, 4, 4, 1, 4, 0, 3, 1, 0, 2, 0, 0, 3, 3, 1, 1, 2, 0, 4, 3, 3, 3, 2, 2, 4, 1, 4, 4, 0, 2, 4, 0, 0, 1, 2, 1, 4, 0, 3, 2, 1, 2, 4, 3, 4, 4, 4, 2, 0, 2, 2, 1, 3, 3, 4, 1, 1, 3, 3, 2, 4, 3, 3, 3, 0, 2, 0, 1, 1, 1, 2, 4, 0, 2, 0, 3, 1, 1, 3, 4, 4, 4, 1, 3, 3, 2, 3, 0, 2, 4, 2, 4, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 3, 0, 3, 0, 2, 2, 3, 4, 1, 4, 4, 4, 0, 0, 4, 3, 4, 4, 2, 0, 0, 1, 3, 4, 2, 2, 0, 1, 3, 1, 4, 3, 4, 1, 0, 1, 3, 0, 2, 1, 2, 3, 3, 4, 1, 1, 2, 3, 4, 2, 3, 4, 4, 0, 3, 1, 4, 4, 2, 0, 4, 0, 1, 4, 2, 4, 3, 0, 2, 0, 3, 3, 2, 3, 1, 3, 4, 2, 1, 3, 4, 3, 2, 2, 3, 3, 0, 0, 0, 3, 1, 4, 2, 1, 3, 1, 3, 1, 1, 3, 3, 4, 3, 2, 4, 3, 1, 3, 1, 1, 4, 3, 0, 1, 2, 1, 2, 3, 0, 2, 0, 0, 0, 1, 4, 1, 2, 3, 0, 2, 3, 4, 4, 2, 4, 2, 3, 2, 3, 1, 4, 0, 0, 2, 3, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 3, 4, 3, 0, 0, 3, 3, 2, 1, 3, 2, 1, 1, 3, 4, 0, 2, 0, 4, 2, 2, 1, 2, 0, 2, 4, 3, 0, 2, 1, 4, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 3, 4, 3, 0, 1, 3, 3, 2, 0, 2, 1, 3, 1, 4, 0, 4, 4, 2, 3, 2, 0, 4, 2, 2, 4, 0, 3, 1, 3, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 3, 2, 0, 4]
pubkeycol1105 = [3, 1, 3, 4, 2, 4, 1, 2, 2, 0, 3, 2, 4, 4, 1, 0, 2, 4, 0, 0, 2, 4, 0, 3, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 3, 0, 4, 0, 0, 3, 3, 4, 2, 1, 0, 4, 4, 2, 2, 4, 2, 0, 1, 0, 3, 0, 4, 2, 0, 1, 4, 3, 3, 2, 4, 0, 2, 2, 0, 0, 0, 3, 0, 2, 0, 3, 2, 1, 4, 1, 4, 1, 3, 4, 4, 3, 0, 4, 2, 1, 1, 2, 0, 2, 1, 4, 1, 3, 3, 2, 2, 1, 3, 4, 1, 3, 3, 2, 0, 3, 0, 0, 3, 4, 3, 3, 4, 4, 0, 1, 3, 3, 4, 2, 4, 4, 0, 2, 4, 3, 2, 3, 2, 0, 1, 1, 1, 0, 1, 1, 3, 4, 0, 0, 2, 3, 0, 3, 0, 0, 2, 4, 4, 2, 2, 0, 2, 4, 0, 3, 1, 0, 2, 3, 1, 4, 2, 4, 2, 2, 2, 2, 0, 4, 3, 3, 3, 1, 1, 0, 3, 3, 1, 0, 2, 3, 4, 4, 0, 4, 0, 1, 2, 2, 4, 3, 2, 3, 0, 0, 2, 4, 2, 0, 2, 0, 4, 4, 3, 2, 3, 4, 3, 3, 3, 0, 3, 1, 4, 1, 4, 4, 1, 0, 2, 3, 1, 4, 4, 1, 0, 3, 1, 4, 1, 3, 3, 3, 4, 3, 3, 4, 3, 1, 1, 2, 4, 1, 1, 4, 2, 4, 3, 4, 4, 2, 1, 1, 0, 4, 0, 2, 1, 1, 1, 4, 1, 1, 4, 1, 0, 3, 2, 2, 4, 2, 3, 0, 4, 4, 4, 3, 1, 4, 4, 3, 3, 0, 0, 3, 4, 2, 3, 0, 1, 2, 1, 3, 3, 4, 1, 3, 0, 0, 2, 1, 3, 4, 4, 0, 4, 4, 0, 2, 3, 1, 1, 1, 0, 2, 1, 2, 4, 4, 3, 3, 0, 3, 0, 2, 4, 3, 0, 4, 2, 0, 2, 0, 4, 3, 0, 4, 0, 4, 2, 0, 4, 1, 2, 4, 3, 0, 1, 1, 3, 1, 4, 2, 1, 0, 0, 4, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 4, 1, 4, 4, 2, 1, 1, 3, 4, 3, 2, 3, 1, 0, 3, 1, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 2, 4, 0, 1, 2, 1, 0, 2, 1, 2, 0, 3, 4, 1, 3, 3, 0, 3, 3, 0, 1, 0, 0, 2, 4, 0, 3, 4, 2, 1, 2, 2, 4, 4, 0, 0, 1, 0, 4, 0, 4, 1, 0, 3, 4, 4, 1, 4, 1, 3, 4, 2, 0, 0, 0, 4, 4, 3, 2, 2, 1, 4, 3, 4, 1, 3, 4, 3, 2, 1, 1, 4, 4, 1, 1, 3, 0, 0, 4, 1, 4, 2, 0, 4, 2, 2, 4, 2, 4, 3, 2, 4, 2, 1, 0, 0, 3, 2, 1, 2, 3, 4, 0, 1]
pubkeycol1106 = [0, 2, 1, 0, 1, 2, 4, 2, 2, 4, 0, 3, 2, 0, 0, 3, 4, 2, 2, 2, 4, 0, 0, 4, 2, 1, 0, 0, 4, 0, 3, 1, 2, 4, 2, 4, 1, 4, 2, 4, 0, 4, 1, 1, 0, 3, 4, 4, 0, 2, 0, 2, 0, 0, 1, 2, 3, 1, 1, 1, 1, 2, 3, 4, 2, 4, 3, 3, 0, 0, 3, 2, 4, 0, 1, 4, 2, 4, 4, 4, 0, 2, 1, 2, 4, 1, 0, 4, 2, 1, 3, 4, 1, 4, 4, 2, 2, 0, 0, 0, 1, 1, 4, 3, 1, 3, 3, 0, 0, 2, 4, 3, 1, 2, 3, 3, 1, 3, 1, 3, 1, 3, 4, 2, 3, 0, 1, 4, 0, 0, 4, 4, 4, 0, 0, 0, 1, 1, 4, 2, 4, 1, 4, 4, 0, 3, 2, 1, 3, 4, 4, 4, 0, 1, 0, 3, 1, 3, 1, 0, 0, 2, 2, 4, 2, 4, 4, 2, 2, 4, 3, 2, 4, 1, 0, 1, 2, 2, 4, 0, 0, 4, 4, 3, 0, 0, 4, 2, 1, 1, 2, 1, 3, 2, 2, 2, 4, 4, 1, 4, 3, 4, 0, 4, 0, 3, 0, 3, 1, 2, 4, 4, 0, 1, 2, 1, 2, 2, 2, 3, 0, 1, 3, 3, 2, 3, 4, 1, 3, 3, 1, 2, 2, 1, 1, 0, 4, 3, 3, 2, 0, 0, 0, 4, 1, 3, 1, 0, 1, 2, 3, 1, 3, 2, 3, 1, 0, 4, 0, 2, 4, 4, 4, 0, 1, 3, 4, 3, 1, 2, 4, 4, 4, 3, 2, 4, 2, 2, 3, 1, 4, 0, 2, 3, 1, 3, 3, 3, 2, 1, 1, 2, 4, 4, 2, 1, 1, 3, 3, 0, 1, 0, 2, 2, 3, 3, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 3, 3, 4, 0, 1, 4, 3, 1, 0, 0, 2, 2, 3, 2, 3, 3, 2, 4, 3, 1, 0, 4, 3, 3, 1, 3, 3, 1, 4, 0, 0, 2, 1, 4, 2, 4, 2, 4, 0, 4, 0, 3, 1, 4, 4, 2, 2, 2, 4, 2, 3, 2, 3, 4, 0, 0, 4, 1, 0, 4, 4, 0, 3, 1, 2, 1, 1, 4, 4, 4, 3, 3, 4, 0, 1, 1, 0, 2, 2, 1, 1, 3, 3, 1, 0, 4, 2, 3, 4, 1, 0, 2, 1, 4, 0, 2, 3, 3, 4, 4, 0, 0, 3, 1, 0, 1, 0, 0, 3, 0, 0, 4, 3, 4, 0, 4, 4, 2, 0, 0, 3, 0, 0, 1, 3, 1, 3, 3, 3, 2, 2, 0, 0, 0, 2, 1, 2, 3, 4, 3, 2, 1, 3, 3, 2, 0, 2, 0, 4, 3, 4, 0, 4, 2, 4, 3, 2, 0, 4, 2, 3, 4, 3, 1, 4, 1, 3, 4, 0, 0, 1, 1, 0, 2, 3, 2, 3, 2, 2, 1, 1, 0, 0, 3, 4, 3]
pubkeycol1107 = [0, 4, 0, 3, 2, 1, 0, 3, 2, 0, 3, 0, 0, 3, 0, 1, 1, 2, 2, 3, 4, 4, 2, 0, 1, 0, 1, 2, 4, 3, 0, 0, 3, 0, 3, 3, 1, 3, 4, 0, 0, 3, 1, 0, 2, 3, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 4, 2, 3, 4, 2, 4, 1, 3, 1, 0, 4, 3, 0, 1, 4, 4, 4, 4, 2, 3, 2, 0, 1, 4, 1, 3, 1, 1, 2, 4, 2, 0, 1, 0, 1, 4, 2, 2, 3, 1, 2, 2, 1, 4, 0, 3, 1, 2, 2, 0, 2, 2, 4, 2, 4, 3, 2, 2, 1, 2, 3, 4, 4, 3, 1, 3, 2, 1, 3, 0, 2, 0, 2, 0, 0, 2, 2, 4, 0, 2, 3, 1, 4, 2, 4, 0, 3, 4, 0, 3, 0, 1, 2, 2, 4, 2, 3, 3, 1, 1, 1, 0, 1, 1, 0, 3, 1, 0, 0, 0, 3, 2, 3, 0, 2, 4, 1, 1, 3, 1, 3, 1, 0, 2, 0, 4, 1, 3, 4, 2, 2, 0, 3, 1, 4, 3, 4, 0, 0, 4, 0, 0, 1, 0, 3, 4, 0, 2, 0, 1, 3, 0, 1, 4, 1, 4, 4, 4, 0, 1, 1, 0, 0, 4, 3, 4, 4, 2, 3, 4, 3, 1, 3, 2, 3, 4, 0, 4, 0, 3, 2, 0, 0, 1, 4, 4, 2, 2, 1, 0, 1, 1, 4, 2, 0, 2, 2, 0, 0, 0, 3, 1, 1, 0, 0, 2, 2, 0, 4, 0, 4, 2, 2, 4, 1, 2, 4, 4, 4, 1, 1, 1, 4, 2, 1, 2, 4, 1, 4, 3, 0, 1, 3, 3, 0, 0, 4, 4, 1, 0, 0, 4, 0, 3, 0, 1, 3, 0, 2, 3, 1, 3, 3, 4, 2, 1, 3, 1, 1, 3, 1, 4, 0, 4, 0, 2, 2, 2, 3, 2, 4, 2, 4, 4, 0, 1, 0, 3, 4, 4, 4, 2, 3, 1, 3, 1, 1, 0, 1, 2, 4, 2, 1, 4, 3, 2, 0, 3, 0, 1, 3, 3, 0, 0, 4, 1, 1, 3, 3, 3, 4, 1, 1, 3, 1, 0, 4, 4, 0, 1, 0, 4, 0, 4, 4, 3, 0, 1, 1, 3, 3, 1, 1, 0, 4, 2, 2, 4, 3, 0, 3, 1, 1, 0, 3, 1, 0, 2, 3, 2, 1, 4, 2, 1, 0, 1, 3, 4, 1, 0, 2, 4, 1, 3, 0, 4, 4, 2, 1, 4, 0, 2, 2, 1, 4, 1, 0, 4, 4, 1, 1, 2, 2, 1, 4, 3, 4, 3, 4, 2, 2, 4, 1, 3, 2, 3, 4, 1, 3, 1, 2, 1, 3, 4, 0, 2, 2, 3, 0, 4, 2, 2, 1, 3, 0, 1, 4, 4, 4, 0, 1, 4, 3, 1, 0, 2, 3, 4, 3, 2, 0, 3, 1, 2, 2, 0, 1, 4, 4, 4, 2, 1, 2, 4, 4, 0, 1, 2, 4]
pubkeycol1108 = [2, 1, 4, 1, 4, 2, 2, 3, 4, 3, 1, 0, 2, 3, 0, 2, 2, 3, 1, 1, 4, 3, 4, 4, 3, 1, 2, 4, 0, 3, 3, 2, 2, 4, 1, 4, 3, 2, 0, 4, 4, 4, 2, 0, 3, 3, 1, 3, 2, 1, 2, 1, 3, 0, 2, 1, 1, 3, 1, 0, 4, 2, 3, 0, 0, 4, 3, 3, 3, 4, 0, 4, 4, 1, 2, 4, 2, 0, 4, 2, 4, 3, 3, 0, 2, 0, 2, 0, 0, 4, 4, 2, 2, 3, 4, 1, 2, 0, 1, 3, 0, 4, 2, 1, 0, 0, 4, 4, 4, 0, 2, 1, 1, 4, 4, 2, 4, 3, 0, 2, 3, 2, 2, 2, 3, 0, 1, 1, 3, 0, 2, 1, 0, 0, 4, 0, 4, 4, 2, 3, 0, 0, 0, 2, 0, 3, 0, 2, 4, 2, 0, 1, 0, 4, 3, 3, 4, 3, 0, 2, 4, 3, 4, 4, 3, 3, 2, 1, 3, 0, 4, 4, 1, 0, 3, 3, 3, 0, 2, 4, 1, 3, 1, 0, 0, 2, 3, 2, 0, 2, 2, 0, 2, 0, 0, 3, 4, 4, 1, 2, 2, 3, 3, 3, 2, 2, 2, 3, 3, 3, 1, 2, 3, 1, 0, 4, 2, 0, 2, 3, 4, 2, 4, 4, 3, 2, 2, 4, 1, 0, 2, 0, 3, 4, 1, 0, 3, 3, 3, 2, 0, 4, 1, 1, 0, 3, 1, 4, 4, 1, 3, 1, 4, 0, 4, 3, 3, 3, 1, 1, 2, 1, 3, 4, 4, 2, 3, 3, 2, 0, 1, 2, 0, 3, 2, 0, 0, 3, 1, 0, 0, 4, 1, 4, 0, 4, 3, 2, 0, 3, 2, 1, 4, 2, 3, 3, 1, 3, 4, 4, 0, 4, 3, 3, 4, 4, 3, 4, 3, 4, 0, 1, 0, 4, 0, 2, 3, 2, 1, 0, 3, 2, 1, 0, 3, 3, 2, 4, 2, 1, 0, 0, 3, 3, 0, 2, 1, 3, 2, 0, 0, 0, 3, 4, 4, 2, 3, 2, 3, 0, 2, 3, 1, 4, 1, 4, 2, 0, 3, 3, 2, 2, 0, 2, 0, 0, 1, 1, 2, 4, 4, 0, 0, 0, 1, 2, 4, 0, 1, 0, 2, 4, 0, 0, 2, 1, 4, 1, 1, 4, 4, 0, 0, 3, 2, 1, 0, 4, 2, 1, 2, 3, 1, 0, 3, 4, 4, 3, 1, 4, 2, 0, 4, 3, 1, 1, 2, 0, 2, 4, 1, 3, 0, 2, 0, 4, 3, 2, 3, 2, 0, 2, 4, 2, 0, 2, 3, 1, 3, 0, 2, 0, 0, 3, 3, 3, 0, 1, 3, 1, 2, 0, 3, 0, 0, 3, 4, 0, 3, 3, 2, 3, 3, 1, 0, 4, 1, 1, 2, 0, 1, 0, 0, 0, 2, 4, 3, 0, 1, 0, 3, 2, 1, 3, 2, 2, 2, 1, 1, 0, 0, 0, 3, 3, 1, 2, 3, 0, 2, 2, 1, 4, 2, 4, 1]
pubkeycol1109 = [0, 4, 0, 1, 0, 3, 1, 2, 4, 1, 1, 1, 3, 1, 0, 3, 4, 1, 4, 1, 2, 0, 0, 4, 0, 3, 4, 1, 4, 0, 2, 0, 0, 1, 0, 0, 3, 0, 4, 0, 0, 0, 0, 3, 3, 3, 0, 4, 4, 4, 2, 2, 3, 1, 2, 1, 0, 0, 2, 0, 4, 4, 0, 0, 3, 0, 1, 3, 2, 0, 0, 3, 3, 4, 4, 2, 2, 2, 1, 3, 1, 1, 2, 0, 2, 1, 0, 4, 1, 4, 2, 3, 0, 4, 0, 1, 3, 4, 3, 2, 1, 4, 2, 1, 0, 0, 1, 1, 2, 2, 4, 1, 0, 3, 1, 4, 1, 2, 1, 3, 1, 4, 4, 4, 0, 2, 3, 2, 1, 2, 1, 3, 4, 0, 3, 1, 1, 2, 1, 1, 1, 4, 4, 2, 4, 0, 1, 2, 4, 1, 2, 2, 0, 3, 2, 4, 2, 3, 2, 2, 1, 1, 0, 2, 4, 2, 4, 1, 0, 2, 4, 1, 4, 3, 2, 2, 3, 4, 0, 3, 0, 3, 0, 3, 4, 1, 0, 1, 2, 3, 1, 0, 0, 2, 3, 0, 3, 2, 2, 2, 1, 4, 0, 3, 1, 3, 1, 0, 3, 0, 3, 3, 0, 4, 4, 3, 4, 0, 0, 4, 1, 3, 2, 3, 1, 4, 3, 3, 2, 1, 2, 2, 4, 1, 4, 2, 0, 2, 2, 2, 3, 4, 3, 3, 0, 0, 1, 1, 1, 1, 3, 2, 0, 4, 0, 1, 0, 2, 4, 3, 2, 4, 3, 0, 2, 1, 1, 0, 1, 2, 4, 3, 4, 4, 1, 3, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 4, 2, 0, 2, 4, 4, 2, 1, 0, 0, 3, 1, 1, 2, 1, 3, 0, 0, 4, 0, 4, 1, 4, 2, 0, 2, 4, 0, 3, 1, 4, 2, 0, 3, 0, 2, 1, 1, 4, 1, 2, 3, 4, 0, 4, 2, 4, 2, 4, 1, 2, 1, 4, 3, 2, 4, 2, 3, 1, 1, 2, 2, 0, 1, 3, 0, 2, 4, 0, 0, 0, 4, 4, 3, 0, 3, 3, 1, 3, 0, 0, 2, 2, 0, 2, 2, 1, 4, 4, 1, 3, 2, 1, 4, 2, 0, 2, 0, 4, 3, 4, 0, 4, 3, 1, 1, 4, 0, 4, 2, 1, 4, 1, 3, 2, 3, 4, 2, 0, 2, 4, 2, 3, 3, 2, 2, 4, 2, 3, 3, 1, 4, 1, 3, 1, 4, 3, 4, 3, 3, 2, 0, 1, 2, 4, 3, 4, 4, 4, 3, 3, 2, 4, 0, 2, 3, 3, 4, 4, 2, 0, 1, 0, 1, 2, 4, 2, 3, 2, 2, 0, 4, 3, 2, 3, 1, 3, 4, 0, 3, 1, 1, 1, 3, 2, 0, 2, 2, 2, 0, 4, 3, 4, 1, 2, 4, 0, 3, 3, 3, 2, 4, 0, 0, 0, 2, 2, 2, 3, 4, 3, 3, 1, 2, 1, 0, 2, 1]
pubkeycol1110 = [2, 1, 2, 1, 2, 3, 3, 1, 4, 2, 3, 4, 1, 4, 0, 1, 0, 1, 1, 2, 2, 3, 1, 1, 4, 2, 3, 3, 2, 0, 3, 1, 1, 3, 2, 0, 2, 4, 2, 0, 1, 2, 4, 2, 1, 3, 0, 3, 3, 3, 2, 0, 1, 4, 1, 3, 4, 3, 4, 0, 1, 0, 4, 2, 4, 1, 0, 0, 1, 2, 0, 4, 3, 4, 2, 2, 2, 1, 1, 4, 3, 3, 2, 3, 3, 3, 3, 0, 0, 2, 3, 4, 0, 2, 0, 1, 4, 3, 4, 4, 3, 2, 2, 0, 3, 1, 2, 1, 3, 1, 2, 4, 4, 3, 1, 0, 0, 0, 2, 1, 4, 2, 0, 3, 3, 1, 4, 2, 1, 4, 2, 1, 3, 1, 4, 2, 3, 3, 1, 1, 0, 4, 1, 3, 3, 0, 2, 1, 1, 1, 3, 0, 4, 2, 3, 1, 4, 4, 2, 2, 4, 0, 2, 2, 3, 2, 1, 3, 1, 2, 1, 3, 0, 2, 1, 1, 2, 2, 2, 0, 1, 3, 2, 2, 3, 2, 3, 2, 4, 4, 3, 1, 0, 0, 1, 4, 1, 4, 2, 0, 0, 0, 4, 0, 4, 0, 1, 4, 1, 3, 3, 4, 2, 3, 3, 0, 4, 4, 2, 2, 0, 2, 1, 4, 4, 3, 1, 0, 4, 4, 2, 0, 2, 0, 0, 0, 4, 2, 2, 0, 2, 3, 1, 0, 2, 0, 0, 2, 1, 3, 1, 4, 2, 1, 2, 3, 1, 4, 3, 3, 3, 2, 4, 2, 0, 2, 1, 1, 1, 0, 0, 4, 1, 0, 2, 0, 4, 1, 3, 1, 4, 3, 3, 1, 0, 4, 3, 1, 1, 2, 3, 4, 2, 1, 3, 1, 2, 4, 4, 0, 2, 0, 4, 0, 3, 3, 4, 4, 3, 0, 1, 3, 1, 1, 2, 1, 1, 4, 1, 1, 3, 1, 2, 0, 3, 1, 2, 2, 3, 0, 0, 2, 0, 1, 4, 3, 2, 1, 0, 4, 4, 1, 4, 2, 0, 2, 3, 1, 4, 3, 3, 0, 1, 2, 1, 2, 2, 4, 2, 4, 1, 3, 2, 4, 1, 0, 3, 1, 3, 3, 3, 4, 2, 4, 0, 4, 4, 0, 4, 4, 3, 2, 1, 0, 4, 3, 4, 3, 3, 1, 4, 1, 3, 4, 2, 3, 2, 3, 4, 0, 4, 0, 1, 2, 3, 4, 0, 1, 0, 4, 0, 3, 3, 2, 2, 1, 0, 3, 1, 0, 0, 1, 2, 0, 2, 3, 0, 4, 3, 0, 3, 3, 0, 1, 1, 0, 1, 1, 2, 2, 3, 1, 1, 3, 0, 1, 3, 0, 3, 4, 1, 4, 0, 3, 0, 3, 3, 3, 0, 3, 3, 1, 2, 1, 0, 2, 3, 4, 0, 2, 3, 2, 2, 0, 4, 4, 3, 0, 0, 4, 2, 4, 0, 1, 3, 2, 1, 4, 3, 1, 2, 3, 1, 1, 2, 0, 4, 2, 3, 2, 2, 1, 3, 1, 1]
pubkeycol1111 = [2, 4, 4, 2, 3, 4, 0, 0, 4, 3, 4, 4, 2, 0, 3, 0, 2, 4, 2, 2, 4, 2, 2, 1, 0, 0, 3, 2, 3, 0, 0, 1, 3, 1, 0, 0, 3, 0, 4, 2, 1, 3, 3, 2, 2, 4, 0, 4, 4, 3, 1, 0, 4, 2, 4, 1, 0, 1, 0, 1, 2, 0, 3, 0, 4, 0, 1, 1, 1, 0, 4, 3, 4, 1, 3, 1, 2, 2, 0, 3, 3, 1, 3, 1, 0, 3, 3, 0, 2, 0, 3, 0, 2, 4, 3, 3, 2, 1, 3, 3, 0, 4, 3, 0, 0, 1, 3, 4, 3, 3, 0, 4, 4, 0, 4, 2, 0, 1, 2, 1, 2, 4, 3, 0, 2, 3, 3, 3, 0, 3, 4, 4, 1, 0, 2, 3, 1, 4, 4, 1, 0, 4, 1, 4, 0, 1, 0, 4, 0, 4, 2, 2, 4, 2, 4, 3, 4, 1, 2, 3, 0, 2, 2, 4, 1, 1, 4, 3, 1, 1, 2, 3, 0, 0, 1, 4, 1, 4, 0, 3, 4, 0, 0, 2, 4, 0, 2, 3, 2, 3, 1, 1, 0, 1, 3, 2, 2, 2, 3, 2, 2, 1, 4, 1, 2, 4, 3, 2, 2, 0, 4, 1, 2, 1, 0, 0, 3, 0, 0, 0, 4, 3, 2, 3, 0, 3, 0, 4, 0, 3, 4, 0, 0, 4, 1, 4, 1, 4, 4, 4, 1, 1, 4, 1, 1, 3, 3, 3, 4, 1, 3, 1, 0, 4, 1, 1, 1, 4, 4, 0, 2, 3, 2, 0, 1, 3, 2, 3, 4, 1, 2, 3, 2, 0, 1, 2, 3, 4, 0, 0, 4, 0, 0, 0, 2, 2, 3, 2, 4, 3, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 4, 0, 1, 0, 3, 4, 4, 1, 2, 4, 1, 1, 4, 2, 4, 2, 0, 0, 3, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 4, 0, 2, 2, 4, 1, 0, 2, 3, 2, 2, 2, 3, 0, 4, 2, 1, 0, 4, 2, 1, 0, 0, 0, 1, 0, 3, 1, 1, 0, 0, 3, 0, 2, 1, 4, 3, 3, 4, 0, 2, 0, 0, 3, 4, 1, 1, 4, 1, 4, 2, 1, 4, 2, 0, 1, 1, 0, 0, 3, 3, 3, 3, 2, 4, 1, 2, 4, 1, 3, 0, 4, 1, 3, 1, 4, 1, 3, 2, 0, 1, 0, 2, 1, 2, 0, 3, 1, 3, 0, 0, 0, 2, 0, 4, 4, 2, 0, 1, 0, 2, 0, 1, 2, 1, 4, 3, 0, 1, 1, 0, 0, 0, 3, 2, 0, 1, 4, 4, 4, 0, 4, 2, 1, 3, 4, 4, 0, 3, 2, 3, 0, 3, 2, 0, 3, 0, 0, 2, 2, 4, 4, 3, 1, 4, 4, 2, 1, 3, 1, 3, 4, 1, 0, 1, 0, 2, 2, 3, 4, 2, 2, 3, 4, 4, 0, 3, 1, 1, 2, 2, 4, 4, 3, 3]
pubkeycol1112 = [0, 2, 4, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 3, 1, 3, 4, 1, 3, 2, 2, 3, 0, 1, 3, 2, 4, 3, 2, 2, 1, 2, 0, 0, 0, 4, 0, 0, 1, 1, 1, 2, 1, 0, 0, 4, 3, 3, 3, 0, 3, 3, 0, 4, 1, 0, 1, 3, 0, 1, 4, 2, 0, 1, 3, 0, 2, 3, 0, 4, 4, 2, 1, 1, 2, 4, 3, 3, 1, 2, 2, 4, 1, 1, 2, 1, 4, 0, 1, 2, 4, 3, 3, 0, 4, 4, 3, 1, 3, 3, 1, 4, 0, 0, 1, 3, 0, 4, 4, 3, 2, 3, 2, 2, 4, 2, 2, 4, 2, 3, 3, 3, 3, 4, 4, 2, 4, 1, 3, 3, 2, 2, 4, 0, 0, 1, 1, 2, 0, 0, 1, 0, 3, 3, 4, 4, 1, 1, 0, 4, 3, 4, 2, 4, 4, 1, 1, 2, 0, 4, 4, 4, 1, 0, 1, 3, 3, 0, 0, 0, 4, 3, 4, 1, 0, 0, 0, 2, 1, 2, 2, 4, 4, 3, 1, 3, 3, 1, 2, 2, 4, 4, 3, 4, 4, 1, 3, 4, 2, 2, 0, 1, 4, 2, 0, 0, 4, 2, 1, 3, 3, 1, 3, 3, 3, 3, 0, 2, 1, 0, 3, 3, 3, 4, 0, 2, 3, 3, 3, 2, 1, 2, 3, 4, 4, 3, 4, 2, 1, 1, 2, 3, 3, 3, 0, 3, 0, 0, 4, 2, 4, 1, 2, 0, 3, 1, 3, 3, 3, 3, 3, 3, 3, 2, 4, 0, 3, 1, 1, 1, 3, 3, 3, 2, 0, 2, 1, 4, 2, 4, 1, 3, 1, 2, 0, 0, 4, 3, 3, 4, 1, 2, 2, 2, 1, 1, 4, 1, 2, 2, 2, 1, 3, 0, 1, 0, 1, 1, 3, 3, 2, 2, 2, 4, 3, 1, 0, 1, 1, 4, 4, 2, 3, 1, 3, 3, 2, 1, 0, 1, 4, 4, 2, 4, 0, 1, 3, 4, 3, 1, 1, 0, 3, 0, 0, 2, 0, 2, 2, 3, 2, 2, 0, 4, 4, 0, 1, 2, 2, 0, 4, 1, 0, 0, 0, 4, 1, 0, 3, 0, 1, 1, 2, 4, 0, 3, 0, 2, 4, 1, 4, 3, 3, 2, 1, 2, 0, 1, 0, 4, 0, 0, 2, 0, 0, 2, 2, 4, 0, 3, 3, 4, 1, 1, 1, 2, 2, 4, 1, 2, 4, 2, 1, 4, 0, 2, 3, 3, 1, 4, 4, 1, 1, 0, 0, 0, 3, 2, 2, 2, 4, 3, 0, 2, 3, 4, 2, 2, 2, 4, 4, 3, 4, 0, 0, 1, 3, 4, 2, 0, 2, 1, 0, 2, 2, 1, 3, 3, 0, 4, 4, 1, 1, 4, 1, 1, 3, 2, 3, 3, 3, 3, 2, 3, 1, 4, 0, 1, 4, 0, 0, 1, 4, 0, 3, 2, 0, 0, 3, 2, 4, 2, 2, 0, 1, 4, 4, 1, 2, 0, 1, 1, 3, 0]
pubkeycol1113 = [1, 0, 3, 1, 4, 3, 1, 4, 2, 3, 1, 2, 4, 2, 1, 0, 1, 0, 2, 3, 4, 2, 0, 2, 1, 2, 2, 3, 2, 1, 0, 0, 4, 0, 4, 0, 2, 3, 4, 2, 0, 2, 4, 4, 0, 4, 1, 3, 0, 1, 1, 3, 2, 3, 1, 3, 3, 2, 0, 2, 4, 3, 3, 3, 0, 1, 1, 2, 0, 1, 3, 0, 2, 4, 1, 2, 2, 1, 0, 3, 1, 1, 2, 2, 1, 2, 4, 3, 4, 4, 4, 2, 4, 2, 0, 2, 0, 1, 1, 4, 1, 1, 2, 4, 2, 2, 4, 3, 1, 3, 4, 3, 3, 2, 3, 1, 0, 0, 1, 1, 0, 0, 0, 3, 0, 2, 3, 0, 3, 0, 3, 2, 3, 3, 1, 3, 1, 0, 1, 2, 0, 3, 3, 1, 1, 4, 1, 0, 1, 2, 3, 0, 4, 0, 4, 3, 2, 2, 2, 3, 3, 2, 4, 2, 1, 0, 0, 1, 3, 0, 0, 1, 2, 2, 3, 1, 2, 2, 1, 4, 2, 2, 2, 2, 1, 4, 3, 3, 4, 4, 4, 2, 0, 0, 2, 3, 2, 4, 4, 0, 1, 4, 0, 0, 3, 2, 2, 1, 0, 3, 4, 2, 4, 3, 3, 4, 4, 0, 3, 4, 4, 1, 1, 0, 3, 4, 3, 4, 1, 2, 4, 1, 3, 4, 4, 2, 4, 4, 0, 4, 3, 3, 0, 1, 1, 0, 2, 2, 4, 2, 3, 3, 3, 1, 4, 2, 1, 2, 2, 3, 1, 0, 2, 4, 1, 1, 0, 2, 3, 2, 1, 4, 4, 3, 0, 1, 2, 0, 3, 0, 4, 3, 3, 4, 4, 3, 4, 0, 3, 0, 0, 3, 2, 0, 2, 2, 4, 3, 2, 1, 3, 0, 4, 4, 2, 0, 4, 1, 3, 3, 0, 4, 4, 2, 3, 3, 2, 0, 3, 2, 3, 2, 4, 4, 1, 3, 2, 2, 1, 4, 2, 1, 0, 3, 0, 3, 0, 3, 0, 1, 4, 0, 1, 4, 1, 1, 0, 0, 3, 3, 3, 3, 4, 4, 0, 0, 3, 1, 3, 0, 1, 0, 2, 3, 3, 1, 0, 0, 0, 3, 4, 3, 1, 2, 4, 1, 3, 1, 4, 2, 1, 1, 2, 2, 0, 3, 0, 3, 4, 0, 3, 4, 0, 0, 4, 2, 4, 2, 4, 0, 3, 4, 4, 4, 3, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 4, 4, 0, 3, 0, 2, 4, 2, 2, 1, 1, 1, 4, 4, 1, 4, 1, 1, 2, 1, 0, 4, 1, 4, 0, 3, 1, 0, 2, 3, 1, 0, 3, 1, 4, 3, 0, 1, 3, 4, 4, 2, 0, 4, 0, 3, 4, 4, 2, 3, 4, 3, 4, 0, 1, 1, 0, 2, 3, 2, 1, 1, 2, 0, 0, 0, 0, 4, 2, 4, 0, 0, 2, 3, 2, 0, 2, 2, 0, 3, 2, 3, 2, 1, 2, 2, 4, 2, 2, 4]
pubkeycol1114 = [0, 1, 1, 2, 4, 2, 0, 1, 4, 1, 3, 1, 1, 2, 0, 4, 1, 1, 4, 3, 4, 0, 3, 1, 3, 3, 1, 0, 1, 2, 4, 4, 3, 0, 0, 3, 3, 0, 2, 2, 0, 3, 2, 3, 2, 0, 0, 2, 4, 3, 1, 0, 2, 1, 4, 3, 2, 2, 2, 2, 4, 2, 4, 2, 1, 4, 4, 0, 0, 4, 2, 2, 2, 1, 2, 0, 1, 4, 3, 1, 2, 4, 0, 1, 0, 0, 0, 4, 2, 3, 2, 2, 4, 2, 4, 0, 1, 0, 3, 0, 1, 3, 2, 1, 4, 2, 1, 2, 2, 2, 1, 1, 0, 1, 3, 3, 4, 1, 0, 1, 4, 3, 1, 0, 1, 2, 0, 3, 4, 1, 0, 0, 0, 4, 0, 0, 4, 1, 0, 0, 4, 1, 3, 1, 3, 1, 4, 4, 2, 0, 0, 2, 0, 3, 4, 2, 1, 2, 3, 2, 1, 2, 3, 1, 3, 2, 1, 4, 3, 2, 1, 3, 4, 3, 3, 4, 1, 0, 2, 4, 4, 2, 4, 3, 3, 2, 3, 4, 4, 2, 0, 2, 3, 1, 1, 3, 1, 3, 0, 1, 0, 4, 4, 1, 3, 0, 1, 3, 2, 4, 2, 1, 4, 0, 4, 3, 3, 3, 3, 1, 2, 3, 3, 0, 3, 0, 1, 1, 4, 1, 4, 2, 4, 2, 3, 1, 0, 3, 2, 3, 3, 1, 2, 1, 3, 2, 1, 4, 2, 4, 4, 1, 0, 0, 1, 4, 1, 3, 3, 2, 2, 3, 2, 3, 1, 3, 1, 0, 1, 2, 2, 2, 3, 2, 3, 4, 4, 3, 0, 3, 0, 1, 2, 2, 0, 0, 2, 2, 3, 1, 4, 3, 4, 2, 0, 2, 1, 1, 4, 0, 0, 2, 0, 4, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 1, 1, 0, 2, 3, 1, 2, 3, 3, 3, 2, 2, 0, 0, 0, 3, 1, 2, 0, 3, 4, 0, 1, 1, 3, 4, 4, 0, 2, 3, 2, 3, 0, 4, 2, 2, 0, 4, 3, 2, 2, 0, 2, 4, 0, 3, 4, 2, 2, 0, 1, 1, 2, 2, 3, 2, 0, 3, 0, 3, 3, 3, 1, 0, 3, 4, 4, 3, 0, 4, 2, 4, 0, 2, 0, 3, 0, 4, 4, 3, 0, 1, 1, 4, 2, 2, 2, 1, 0, 0, 3, 4, 2, 0, 3, 2, 1, 2, 3, 4, 1, 4, 0, 2, 2, 4, 3, 3, 0, 2, 3, 3, 1, 1, 3, 1, 2, 0, 3, 0, 0, 0, 4, 4, 0, 0, 4, 0, 2, 0, 2, 2, 0, 3, 0, 1, 3, 1, 2, 0, 1, 2, 4, 1, 2, 2, 2, 3, 4, 1, 2, 3, 2, 2, 4, 4, 4, 3, 0, 0, 3, 2, 2, 3, 0, 3, 3, 2, 2, 4, 4, 2, 1, 2, 1, 2, 4, 4, 0, 3, 1, 3, 4, 4, 2, 0, 2, 2, 2, 2, 1]
pubkeycol1115 = [2, 4, 3, 2, 1, 2, 3, 1, 2, 4, 2, 1, 2, 3, 4, 4, 0, 3, 0, 2, 0, 3, 3, 4, 3, 1, 2, 1, 4, 4, 4, 0, 4, 4, 3, 2, 1, 3, 0, 0, 2, 4, 3, 4, 3, 1, 2, 1, 2, 1, 3, 1, 1, 3, 2, 3, 0, 1, 3, 3, 0, 4, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 3, 2, 0, 0, 2, 3, 4, 2, 4, 0, 1, 1, 1, 2, 0, 0, 3, 2, 1, 0, 3, 0, 1, 2, 1, 4, 4, 0, 3, 3, 4, 4, 2, 3, 4, 0, 1, 0, 3, 2, 1, 4, 0, 2, 2, 3, 2, 0, 1, 3, 1, 3, 0, 0, 3, 0, 0, 1, 1, 0, 2, 4, 2, 3, 0, 2, 3, 3, 0, 4, 4, 0, 4, 3, 3, 4, 3, 3, 0, 1, 2, 3, 4, 3, 3, 2, 1, 4, 3, 4, 2, 3, 3, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 3, 2, 0, 2, 4, 1, 4, 4, 4, 0, 2, 2, 3, 3, 3, 1, 0, 2, 3, 1, 3, 0, 0, 3, 1, 0, 1, 3, 1, 3, 2, 3, 3, 0, 3, 0, 4, 4, 4, 3, 3, 0, 3, 2, 4, 2, 1, 2, 4, 2, 1, 0, 0, 3, 0, 0, 3, 0, 1, 3, 2, 4, 2, 2, 2, 0, 3, 4, 0, 4, 3, 1, 3, 3, 3, 2, 1, 0, 4, 3, 4, 0, 3, 2, 0, 4, 1, 0, 4, 2, 0, 3, 0, 4, 4, 4, 1, 2, 1, 1, 3, 4, 4, 2, 1, 0, 1, 3, 0, 0, 1, 3, 0, 1, 2, 0, 4, 1, 1, 1, 1, 2, 2, 3, 3, 2, 4, 2, 2, 4, 4, 4, 2, 3, 0, 1, 1, 0, 3, 4, 1, 0, 3, 3, 1, 4, 4, 2, 2, 1, 4, 3, 1, 1, 1, 3, 4, 3, 2, 4, 3, 3, 2, 0, 1, 1, 3, 2, 3, 4, 3, 3, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 4, 3, 1, 1, 2, 1, 4, 0, 0, 2, 0, 2, 4, 0, 3, 4, 2, 1, 0, 4, 1, 0, 2, 0, 3, 4, 3, 2, 0, 4, 1, 4, 3, 1, 3, 2, 1, 4, 0, 2, 3, 2, 0, 1, 1, 4, 2, 1, 2, 3, 3, 2, 3, 2, 3, 4, 2, 1, 1, 2, 3, 1, 3, 0, 0, 1, 3, 2, 2, 3, 2, 4, 3, 4, 0, 1, 3, 2, 0, 3, 4, 0, 4, 3, 4, 1, 3, 0, 3, 2, 2, 0, 4, 4, 2, 0, 3, 3, 3, 2, 0, 1, 2, 3, 0, 4, 2, 3, 1, 1, 3, 3, 0, 4, 3, 1, 2, 4, 3, 2, 4, 1, 2, 2, 1, 1, 4, 1, 3, 3, 4, 1, 1, 3, 2, 4, 2, 2, 1, 3, 3, 3, 1, 2, 1]
pubkeycol1116 = [0, 2, 2, 2, 1, 2, 3, 3, 0, 0, 4, 0, 3, 2, 2, 0, 3, 3, 4, 1, 4, 3, 0, 0, 1, 3, 1, 1, 1, 2, 2, 3, 1, 4, 1, 2, 2, 1, 4, 1, 4, 0, 0, 0, 3, 1, 0, 0, 1, 3, 1, 1, 1, 2, 0, 2, 4, 0, 2, 1, 4, 1, 4, 0, 0, 4, 4, 3, 0, 0, 1, 4, 4, 3, 0, 2, 4, 3, 3, 3, 1, 3, 4, 3, 3, 4, 1, 0, 4, 4, 2, 2, 4, 3, 3, 3, 0, 2, 3, 4, 3, 3, 0, 1, 1, 0, 3, 4, 1, 4, 1, 3, 0, 3, 0, 3, 0, 4, 2, 1, 0, 1, 0, 3, 1, 3, 1, 3, 4, 1, 4, 4, 1, 1, 4, 1, 1, 2, 4, 3, 4, 2, 2, 0, 0, 0, 2, 2, 3, 4, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 3, 4, 3, 2, 1, 0, 0, 4, 3, 0, 3, 4, 0, 1, 1, 3, 2, 2, 4, 1, 4, 2, 1, 0, 0, 2, 4, 3, 2, 1, 1, 4, 2, 4, 4, 2, 1, 4, 2, 4, 1, 1, 3, 1, 1, 4, 1, 0, 3, 4, 3, 3, 1, 3, 4, 2, 3, 0, 3, 0, 4, 4, 0, 3, 1, 1, 1, 4, 3, 0, 1, 2, 1, 4, 2, 0, 4, 4, 0, 3, 0, 3, 2, 1, 1, 2, 3, 0, 0, 4, 2, 3, 1, 4, 1, 3, 0, 2, 0, 0, 4, 0, 2, 1, 0, 4, 4, 1, 1, 3, 4, 2, 2, 3, 1, 3, 1, 2, 1, 4, 0, 3, 4, 2, 0, 3, 0, 1, 4, 3, 0, 1, 0, 4, 3, 2, 2, 4, 2, 2, 0, 1, 3, 2, 0, 2, 3, 4, 3, 0, 3, 0, 4, 0, 1, 2, 4, 0, 3, 1, 0, 0, 0, 1, 2, 1, 3, 1, 4, 3, 1, 1, 1, 4, 1, 3, 3, 4, 3, 3, 4, 3, 4, 2, 3, 3, 1, 3, 3, 4, 1, 1, 1, 3, 2, 4, 1, 3, 3, 2, 1, 0, 2, 3, 0, 0, 3, 0, 3, 3, 3, 1, 2, 2, 3, 1, 4, 2, 1, 3, 4, 1, 3, 0, 1, 4, 0, 3, 1, 1, 3, 3, 4, 3, 3, 3, 0, 1, 0, 2, 3, 4, 2, 2, 2, 2, 1, 3, 4, 1, 0, 0, 4, 3, 0, 0, 0, 2, 0, 2, 1, 3, 3, 0, 2, 0, 3, 3, 4, 4, 1, 3, 2, 1, 0, 3, 4, 3, 3, 4, 1, 4, 2, 0, 1, 1, 4, 0, 3, 0, 2, 3, 2, 1, 1, 3, 3, 0, 2, 4, 2, 0, 2, 3, 4, 4, 2, 2, 4, 0, 1, 2, 4, 1, 0, 0, 2, 4, 2, 2, 1, 2, 2, 4, 3, 2, 4, 4, 3, 3, 3, 0, 3, 4, 3, 4, 0, 2, 2, 4, 1, 3, 3, 1, 3]
pubkeycol1117 = [1, 4, 3, 4, 2, 2, 1, 1, 1, 4, 0, 3, 0, 2, 1, 0, 1, 4, 1, 4, 4, 3, 3, 1, 0, 1, 1, 0, 1, 4, 3, 1, 1, 1, 1, 4, 1, 2, 0, 0, 1, 1, 3, 2, 2, 1, 0, 2, 0, 4, 3, 3, 2, 0, 2, 3, 2, 2, 3, 2, 3, 4, 2, 4, 0, 4, 3, 0, 4, 2, 0, 1, 4, 3, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 4, 4, 4, 3, 1, 1, 2, 2, 0, 3, 1, 1, 1, 4, 1, 2, 3, 1, 1, 1, 0, 1, 1, 3, 2, 4, 2, 4, 0, 1, 2, 4, 2, 3, 0, 1, 0, 4, 4, 0, 1, 3, 2, 4, 4, 2, 1, 0, 1, 4, 1, 0, 2, 0, 3, 2, 0, 3, 2, 0, 0, 4, 3, 1, 4, 2, 2, 1, 2, 1, 4, 0, 4, 3, 3, 1, 0, 0, 3, 0, 2, 2, 3, 1, 3, 3, 3, 0, 4, 4, 4, 4, 1, 4, 3, 1, 0, 3, 3, 4, 3, 2, 3, 1, 1, 2, 2, 0, 1, 2, 3, 2, 2, 2, 3, 3, 1, 2, 2, 1, 1, 4, 3, 2, 2, 1, 4, 1, 2, 4, 2, 2, 4, 2, 0, 3, 1, 4, 4, 1, 2, 3, 1, 4, 0, 1, 1, 3, 2, 2, 4, 4, 0, 4, 2, 4, 1, 2, 4, 2, 3, 2, 2, 4, 1, 1, 1, 2, 2, 0, 4, 3, 0, 2, 3, 2, 3, 4, 2, 2, 3, 1, 4, 3, 0, 4, 3, 4, 0, 4, 4, 2, 1, 3, 0, 2, 0, 3, 2, 0, 4, 2, 0, 1, 3, 1, 2, 1, 4, 4, 1, 0, 2, 1, 1, 4, 4, 1, 2, 2, 4, 1, 3, 3, 1, 3, 3, 0, 2, 4, 0, 2, 4, 1, 0, 4, 3, 4, 3, 3, 4, 4, 4, 2, 2, 0, 0, 2, 1, 1, 4, 0, 3, 1, 3, 2, 1, 1, 2, 1, 0, 4, 1, 0, 0, 0, 0, 0, 3, 3, 1, 0, 4, 3, 4, 4, 0, 2, 4, 2, 1, 0, 3, 2, 1, 3, 4, 3, 0, 4, 4, 4, 4, 2, 1, 1, 0, 1, 2, 4, 2, 2, 3, 1, 2, 4, 4, 4, 1, 3, 3, 0, 4, 3, 0, 2, 4, 0, 0, 4, 2, 4, 3, 4, 1, 2, 0, 0, 3, 4, 1, 4, 4, 4, 4, 1, 2, 1, 3, 4, 1, 0, 0, 2, 0, 4, 4, 1, 0, 4, 4, 4, 0, 0, 0, 1, 0, 4, 0, 1, 0, 1, 0, 1, 3, 2, 2, 4, 1, 1, 2, 3, 0, 2, 4, 0, 0, 3, 0, 4, 4, 2, 4, 3, 2, 1, 2, 0, 2, 0, 3, 1, 4, 2, 3, 2, 0, 4, 2, 2, 4, 1, 0, 2, 2, 0, 2, 0, 3, 3, 4, 2, 4, 0, 3, 2, 0, 1, 4, 3, 0]
pubkeycol1118 = [4, 2, 2, 4, 1, 3, 0, 2, 1, 3, 1, 0, 1, 4, 3, 2, 3, 0, 3, 3, 4, 4, 1, 4, 4, 0, 0, 3, 1, 0, 2, 0, 2, 2, 3, 2, 4, 0, 4, 2, 3, 2, 4, 0, 3, 3, 4, 4, 3, 4, 2, 0, 2, 0, 1, 2, 2, 3, 0, 1, 4, 3, 4, 4, 2, 0, 1, 2, 4, 1, 0, 3, 2, 4, 2, 4, 2, 0, 1, 0, 2, 4, 2, 3, 1, 3, 1, 1, 1, 1, 2, 0, 2, 4, 0, 3, 3, 3, 3, 1, 1, 4, 3, 1, 3, 3, 0, 0, 0, 2, 0, 4, 2, 0, 2, 2, 1, 1, 1, 1, 2, 4, 3, 0, 0, 1, 4, 2, 0, 3, 2, 1, 1, 3, 2, 0, 1, 1, 2, 0, 4, 3, 3, 2, 2, 3, 1, 2, 2, 1, 1, 3, 0, 1, 4, 2, 4, 2, 3, 4, 4, 3, 1, 1, 3, 3, 0, 4, 1, 3, 1, 1, 2, 4, 4, 0, 0, 0, 1, 1, 0, 4, 3, 2, 2, 4, 1, 4, 0, 4, 4, 3, 3, 1, 0, 2, 0, 0, 3, 4, 2, 3, 0, 0, 3, 2, 3, 1, 2, 0, 4, 4, 2, 1, 4, 3, 3, 1, 0, 3, 4, 1, 3, 3, 2, 1, 2, 4, 4, 1, 1, 1, 1, 2, 1, 1, 4, 3, 0, 3, 0, 2, 2, 4, 4, 2, 2, 4, 2, 2, 3, 4, 3, 3, 3, 2, 0, 4, 3, 4, 4, 0, 4, 4, 0, 2, 4, 0, 1, 4, 2, 4, 1, 3, 2, 1, 1, 4, 0, 3, 2, 4, 1, 3, 0, 3, 1, 2, 0, 1, 2, 3, 4, 4, 4, 4, 0, 1, 2, 0, 0, 3, 4, 3, 0, 4, 0, 3, 0, 4, 1, 3, 3, 2, 1, 4, 1, 3, 4, 4, 1, 4, 4, 0, 3, 4, 1, 2, 1, 3, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 4, 3, 4, 1, 3, 2, 0, 4, 4, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 3, 2, 4, 3, 2, 0, 4, 4, 2, 2, 3, 0, 2, 1, 2, 4, 3, 4, 2, 4, 1, 4, 0, 0, 0, 3, 4, 4, 2, 2, 3, 2, 1, 0, 3, 0, 0, 1, 2, 2, 2, 3, 0, 4, 0, 2, 3, 4, 3, 2, 4, 2, 3, 2, 4, 2, 4, 3, 1, 0, 1, 4, 3, 0, 4, 1, 3, 1, 2, 1, 0, 4, 4, 1, 0, 3, 2, 3, 3, 2, 1, 1, 2, 4, 3, 1, 4, 1, 3, 0, 4, 4, 2, 1, 0, 4, 2, 4, 0, 4, 3, 0, 3, 4, 2, 0, 1, 0, 3, 0, 1, 4, 2, 1, 0, 2, 3, 4, 2, 4, 1, 0, 3, 1, 0, 0, 3, 3, 2, 2, 2, 2, 0, 1, 2, 0, 3, 4, 4, 1, 3, 2, 1, 4]
pubkeycol1119 = [3, 3, 3, 0, 4, 4, 4, 2, 3, 2, 4, 4, 3, 2, 2, 4, 4, 4, 0, 0, 4, 2, 4, 1, 2, 2, 3, 4, 3, 1, 3, 4, 4, 0, 2, 2, 0, 2, 3, 0, 3, 4, 3, 4, 0, 4, 3, 3, 4, 1, 2, 2, 0, 0, 1, 2, 1, 4, 1, 0, 0, 2, 0, 3, 4, 0, 4, 2, 2, 4, 1, 3, 0, 3, 0, 0, 2, 1, 3, 3, 3, 2, 1, 1, 0, 4, 0, 2, 2, 0, 1, 0, 4, 3, 2, 4, 4, 3, 3, 4, 2, 3, 2, 2, 1, 0, 4, 0, 4, 2, 2, 3, 4, 0, 0, 0, 2, 1, 4, 0, 2, 0, 2, 0, 4, 1, 1, 3, 4, 0, 4, 0, 1, 1, 1, 4, 3, 3, 3, 0, 2, 1, 2, 3, 0, 4, 0, 3, 4, 0, 2, 2, 2, 2, 4, 4, 4, 1, 4, 2, 4, 3, 3, 3, 1, 0, 2, 2, 3, 3, 0, 3, 4, 3, 0, 0, 4, 3, 4, 4, 3, 1, 2, 2, 0, 1, 2, 2, 0, 3, 1, 1, 1, 1, 3, 3, 4, 3, 1, 3, 4, 1, 4, 4, 2, 3, 1, 3, 3, 3, 0, 4, 2, 3, 0, 3, 3, 3, 3, 1, 3, 0, 1, 1, 1, 1, 2, 3, 1, 0, 2, 4, 1, 2, 2, 0, 2, 0, 4, 3, 1, 0, 4, 2, 0, 2, 4, 4, 1, 4, 2, 4, 3, 4, 1, 4, 2, 2, 2, 4, 3, 1, 3, 3, 0, 3, 3, 0, 0, 2, 3, 3, 4, 2, 0, 4, 0, 4, 1, 0, 3, 3, 0, 4, 1, 3, 1, 2, 2, 1, 1, 3, 1, 1, 2, 0, 0, 2, 0, 1, 3, 4, 2, 3, 4, 3, 1, 2, 1, 1, 4, 2, 3, 0, 0, 3, 3, 1, 1, 0, 0, 1, 4, 1, 1, 3, 2, 4, 0, 3, 1, 3, 0, 2, 1, 0, 3, 1, 4, 1, 2, 4, 1, 4, 4, 2, 0, 0, 2, 4, 1, 4, 3, 0, 4, 4, 2, 3, 2, 1, 2, 3, 2, 4, 2, 3, 2, 2, 3, 4, 4, 4, 0, 4, 2, 1, 3, 0, 2, 0, 1, 4, 3, 4, 0, 2, 2, 1, 3, 0, 1, 0, 4, 1, 0, 1, 2, 4, 2, 1, 0, 1, 2, 3, 4, 0, 1, 3, 3, 1, 4, 1, 4, 4, 0, 3, 1, 2, 4, 4, 1, 1, 4, 4, 3, 0, 2, 0, 1, 3, 2, 4, 3, 2, 1, 3, 4, 0, 4, 0, 2, 3, 2, 4, 0, 4, 2, 1, 2, 1, 1, 1, 0, 1, 4, 2, 0, 3, 3, 0, 2, 1, 4, 4, 0, 4, 3, 1, 0, 3, 3, 3, 4, 3, 3, 3, 1, 4, 3, 2, 4, 2, 2, 2, 1, 0, 0, 0, 1, 4, 0, 2, 3, 0, 1, 0, 0, 2, 1, 0, 4, 1, 2, 4, 2]
pubkeycol1120 = [4, 2, 0, 3, 4, 3, 2, 2, 3, 0, 3, 0, 0, 2, 1, 1, 0, 0, 4, 2, 4, 2, 4, 2, 3, 0, 1, 2, 1, 3, 2, 4, 1, 0, 4, 0, 3, 2, 2, 1, 0, 1, 4, 1, 2, 1, 1, 2, 2, 2, 0, 0, 4, 4, 1, 1, 4, 4, 4, 0, 3, 0, 0, 2, 3, 4, 0, 2, 2, 4, 2, 0, 4, 2, 4, 2, 0, 0, 2, 3, 3, 3, 3, 2, 2, 0, 2, 2, 3, 4, 4, 1, 0, 4, 0, 1, 3, 4, 2, 0, 4, 2, 0, 4, 0, 4, 1, 3, 2, 4, 2, 3, 2, 0, 3, 4, 1, 2, 3, 4, 4, 4, 0, 3, 2, 1, 4, 3, 4, 2, 0, 3, 3, 3, 2, 2, 2, 4, 0, 0, 0, 0, 4, 3, 2, 0, 1, 3, 4, 3, 2, 0, 2, 0, 4, 2, 2, 2, 2, 0, 3, 4, 4, 1, 1, 4, 3, 1, 4, 4, 1, 0, 2, 2, 4, 0, 1, 2, 4, 0, 0, 2, 4, 2, 4, 4, 1, 0, 1, 3, 1, 4, 4, 1, 0, 0, 3, 3, 3, 0, 1, 0, 3, 1, 4, 3, 2, 3, 0, 2, 3, 2, 4, 3, 0, 3, 3, 4, 2, 4, 1, 0, 4, 1, 2, 4, 0, 0, 2, 4, 4, 0, 2, 4, 0, 4, 2, 3, 4, 0, 4, 3, 4, 1, 2, 4, 4, 0, 3, 4, 4, 4, 2, 1, 2, 2, 4, 3, 4, 3, 0, 2, 0, 0, 4, 4, 1, 4, 0, 3, 2, 1, 3, 4, 4, 0, 3, 2, 4, 2, 1, 4, 4, 3, 3, 0, 4, 2, 2, 4, 4, 2, 0, 1, 1, 3, 2, 0, 0, 3, 4, 1, 1, 2, 2, 1, 3, 2, 3, 4, 2, 2, 4, 3, 2, 2, 2, 2, 4, 3, 2, 4, 4, 4, 4, 1, 4, 4, 0, 0, 1, 0, 0, 2, 4, 1, 2, 2, 4, 3, 1, 2, 3, 1, 3, 3, 0, 1, 0, 0, 0, 0, 3, 3, 2, 4, 1, 3, 0, 2, 2, 0, 3, 3, 1, 0, 2, 2, 1, 0, 4, 4, 1, 4, 2, 3, 2, 1, 3, 4, 3, 0, 0, 0, 1, 1, 0, 4, 4, 1, 3, 0, 0, 1, 2, 2, 4, 2, 1, 1, 1, 0, 3, 1, 0, 4, 4, 0, 1, 1, 3, 0, 0, 4, 1, 2, 0, 0, 2, 4, 2, 1, 2, 0, 3, 2, 0, 1, 3, 2, 4, 2, 2, 0, 4, 4, 2, 0, 2, 1, 3, 2, 2, 1, 4, 1, 2, 2, 4, 0, 1, 1, 4, 0, 3, 2, 0, 2, 0, 3, 3, 1, 2, 0, 3, 0, 4, 1, 2, 4, 4, 2, 3, 1, 1, 3, 3, 3, 0, 4, 1, 0, 2, 1, 3, 3, 4, 4, 3, 4, 3, 1, 1, 3, 2, 4, 2, 2, 2, 2, 4, 3, 4, 4, 2]
pubkeycol1121 = [2, 2, 3, 0, 4, 2, 3, 0, 1, 4, 0, 4, 2, 3, 0, 4, 3, 1, 4, 2, 1, 4, 1, 1, 2, 3, 0, 3, 2, 2, 2, 2, 1, 4, 3, 3, 4, 2, 0, 3, 2, 2, 3, 0, 4, 3, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 4, 4, 1, 1, 3, 4, 3, 0, 3, 0, 1, 2, 3, 3, 3, 1, 4, 0, 2, 2, 4, 3, 0, 1, 4, 0, 2, 3, 1, 3, 4, 2, 1, 1, 1, 2, 3, 3, 0, 0, 0, 0, 0, 3, 3, 1, 4, 2, 0, 3, 1, 0, 0, 2, 3, 4, 0, 4, 3, 2, 3, 0, 2, 1, 1, 3, 0, 4, 2, 0, 2, 3, 0, 2, 1, 3, 0, 4, 4, 0, 4, 4, 2, 4, 4, 2, 0, 2, 4, 0, 2, 0, 2, 1, 1, 1, 1, 3, 3, 0, 2, 1, 4, 0, 2, 0, 1, 3, 1, 0, 2, 2, 1, 1, 0, 4, 2, 4, 1, 1, 1, 4, 3, 4, 2, 4, 3, 1, 3, 4, 2, 4, 2, 3, 2, 4, 3, 3, 4, 4, 4, 0, 2, 2, 0, 3, 1, 0, 2, 1, 3, 1, 0, 2, 0, 0, 2, 0, 3, 2, 2, 0, 4, 3, 2, 2, 3, 4, 4, 0, 1, 4, 4, 0, 0, 1, 3, 3, 0, 4, 0, 4, 4, 1, 0, 2, 0, 0, 2, 1, 4, 3, 1, 1, 1, 4, 4, 3, 4, 1, 1, 4, 1, 1, 2, 0, 1, 3, 3, 2, 4, 4, 4, 3, 1, 3, 2, 0, 2, 2, 3, 4, 2, 4, 0, 2, 2, 2, 1, 0, 2, 3, 3, 4, 4, 0, 1, 0, 0, 4, 3, 2, 4, 0, 0, 3, 0, 0, 2, 2, 3, 2, 4, 2, 2, 2, 3, 2, 1, 4, 0, 3, 4, 3, 3, 2, 2, 0, 3, 1, 3, 1, 0, 1, 0, 4, 4, 1, 1, 4, 2, 1, 0, 4, 4, 3, 2, 0, 2, 3, 2, 0, 1, 3, 4, 2, 2, 2, 3, 2, 1, 4, 0, 3, 1, 1, 4, 3, 3, 3, 1, 2, 0, 4, 4, 3, 1, 1, 4, 4, 3, 1, 2, 4, 2, 1, 1, 1, 4, 1, 1, 3, 2, 1, 4, 3, 0, 3, 3, 0, 0, 3, 1, 2, 3, 2, 0, 0, 1, 1, 0, 3, 4, 3, 2, 0, 1, 3, 4, 1, 0, 4, 0, 2, 4, 1, 0, 2, 0, 4, 1, 3, 0, 2, 1, 0, 2, 0, 2, 1, 4, 2, 2, 4, 1, 4, 3, 2, 2, 0, 4, 3, 4, 1, 0, 1, 4, 4, 1, 0, 1, 4, 0, 0, 4, 4, 0, 4, 4, 1, 1, 0, 2, 1, 0, 1, 3, 2, 3, 0, 3, 2, 4, 0, 2, 1, 4, 1, 4, 4, 3, 0, 1, 2, 1, 2, 4, 1, 4, 4, 0, 3, 1, 0, 4, 3]
pubkeycol1122 = [3, 1, 3, 2, 0, 2, 4, 4, 1, 1, 1, 4, 0, 0, 3, 2, 2, 2, 2, 1, 3, 4, 0, 4, 3, 3, 2, 3, 2, 4, 2, 4, 3, 2, 4, 1, 1, 1, 2, 0, 3, 2, 3, 3, 4, 4, 0, 0, 4, 3, 4, 1, 2, 2, 4, 4, 4, 1, 0, 1, 4, 0, 1, 3, 4, 2, 4, 3, 0, 0, 3, 0, 1, 4, 0, 2, 0, 1, 1, 3, 0, 4, 0, 2, 1, 2, 4, 2, 3, 0, 0, 0, 0, 0, 2, 2, 2, 0, 3, 4, 0, 2, 4, 0, 2, 3, 3, 0, 4, 1, 1, 2, 2, 0, 1, 1, 2, 2, 4, 2, 1, 1, 3, 0, 1, 1, 0, 0, 4, 3, 0, 1, 2, 2, 3, 1, 2, 3, 3, 2, 3, 0, 3, 1, 3, 0, 3, 3, 1, 4, 1, 4, 1, 0, 4, 0, 1, 3, 2, 4, 4, 1, 2, 1, 1, 1, 1, 4, 0, 1, 2, 2, 2, 0, 1, 3, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 4, 1, 2, 2, 3, 3, 1, 2, 4, 1, 2, 2, 1, 3, 0, 3, 4, 0, 4, 3, 2, 4, 4, 3, 3, 1, 3, 2, 1, 3, 2, 3, 2, 1, 4, 4, 3, 3, 1, 0, 2, 2, 2, 1, 0, 3, 2, 3, 2, 1, 2, 0, 2, 4, 2, 4, 1, 2, 1, 0, 0, 3, 0, 0, 1, 3, 1, 3, 2, 1, 0, 4, 1, 3, 0, 1, 4, 0, 0, 1, 1, 4, 3, 1, 1, 1, 1, 0, 4, 4, 0, 4, 2, 1, 2, 4, 4, 4, 2, 4, 2, 2, 1, 4, 4, 3, 2, 2, 4, 0, 4, 3, 2, 4, 1, 3, 3, 3, 1, 4, 4, 2, 2, 4, 0, 1, 4, 3, 3, 1, 3, 0, 1, 0, 2, 1, 3, 1, 2, 0, 3, 1, 4, 4, 1, 1, 4, 4, 0, 0, 1, 0, 1, 3, 2, 0, 4, 3, 0, 4, 1, 1, 4, 0, 3, 4, 4, 4, 0, 1, 4, 2, 3, 3, 4, 2, 3, 3, 4, 1, 0, 2, 0, 4, 2, 3, 0, 0, 1, 2, 3, 0, 2, 3, 2, 0, 4, 3, 4, 1, 4, 1, 4, 2, 3, 4, 3, 4, 1, 2, 3, 2, 0, 1, 1, 3, 1, 0, 3, 0, 2, 1, 1, 2, 4, 4, 2, 2, 1, 0, 2, 2, 0, 2, 4, 0, 0, 1, 2, 2, 1, 1, 0, 2, 3, 3, 0, 3, 1, 2, 4, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 3, 3, 0, 3, 4, 4, 2, 2, 4, 4, 4, 0, 2, 4, 3, 0, 4, 2, 1, 3, 0, 0, 4, 3, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 3, 4, 0, 3, 0, 0, 0, 3, 4, 4, 0, 4, 2, 3, 4, 0, 1, 3, 2, 0, 2]
pubkeycol1123 = [1, 4, 4, 0, 4, 1, 0, 3, 1, 0, 4, 2, 1, 3, 0, 1, 2, 1, 3, 2, 2, 3, 3, 0, 0, 4, 1, 2, 4, 4, 2, 0, 1, 3, 1, 4, 1, 4, 4, 1, 1, 1, 1, 3, 0, 3, 1, 3, 1, 0, 0, 4, 0, 3, 1, 0, 4, 1, 4, 1, 3, 1, 2, 0, 1, 2, 2, 3, 0, 3, 2, 1, 1, 0, 2, 2, 3, 0, 4, 4, 2, 0, 0, 4, 2, 0, 0, 0, 4, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 3, 1, 1, 2, 1, 2, 4, 2, 3, 4, 0, 4, 1, 1, 0, 3, 0, 2, 1, 4, 3, 1, 2, 4, 0, 4, 0, 1, 3, 1, 4, 2, 1, 4, 4, 2, 0, 2, 1, 3, 0, 1, 2, 4, 3, 3, 4, 4, 3, 4, 3, 1, 4, 2, 3, 4, 1, 2, 4, 2, 3, 0, 0, 2, 3, 4, 4, 3, 3, 0, 2, 0, 2, 2, 2, 0, 3, 4, 1, 4, 4, 0, 4, 3, 1, 0, 3, 3, 1, 4, 3, 4, 4, 2, 1, 3, 1, 3, 4, 4, 1, 1, 2, 1, 2, 1, 4, 2, 3, 4, 0, 2, 2, 4, 4, 4, 3, 0, 2, 1, 3, 3, 1, 3, 3, 4, 0, 0, 3, 3, 3, 1, 4, 0, 4, 2, 3, 1, 1, 3, 3, 0, 4, 1, 3, 4, 0, 4, 1, 4, 0, 0, 1, 0, 3, 4, 0, 1, 3, 1, 3, 0, 4, 1, 4, 4, 3, 0, 1, 2, 0, 1, 3, 2, 0, 3, 0, 3, 2, 1, 3, 1, 4, 4, 2, 0, 3, 3, 1, 0, 3, 3, 3, 4, 0, 1, 1, 3, 0, 3, 4, 0, 3, 1, 0, 4, 1, 0, 4, 4, 1, 3, 3, 4, 1, 3, 0, 4, 2, 1, 3, 0, 2, 3, 3, 1, 2, 4, 0, 0, 1, 2, 4, 0, 1, 2, 4, 4, 1, 1, 3, 4, 3, 0, 1, 1, 4, 1, 2, 1, 1, 1, 0, 1, 0, 3, 0, 2, 0, 1, 4, 0, 3, 0, 0, 0, 3, 4, 4, 4, 2, 2, 3, 4, 3, 1, 3, 2, 0, 4, 3, 3, 2, 1, 2, 2, 2, 3, 4, 3, 4, 1, 0, 0, 2, 1, 2, 2, 0, 0, 3, 4, 2, 1, 0, 0, 2, 3, 2, 2, 2, 3, 3, 4, 2, 3, 3, 2, 3, 3, 1, 0, 3, 1, 0, 2, 4, 0, 3, 0, 1, 2, 2, 3, 1, 0, 3, 4, 4, 1, 1, 2, 3, 4, 4, 1, 2, 4, 0, 2, 2, 3, 4, 0, 4, 4, 4, 3, 0, 4, 4, 1, 4, 3, 0, 3, 2, 1, 2, 3, 0, 2, 3, 0, 1, 0, 2, 2, 3, 3, 0, 3, 3, 2, 4, 3, 4, 3, 2, 4, 0, 1, 4, 0, 1, 4, 2, 4, 0, 1, 0, 1, 1]
pubkeycol1124 = [0, 4, 2, 2, 3, 4, 4, 0, 1, 3, 3, 4, 0, 1, 4, 1, 0, 2, 0, 1, 3, 0, 4, 3, 1, 2, 1, 1, 2, 3, 2, 3, 4, 2, 1, 3, 4, 3, 0, 4, 4, 1, 2, 2, 1, 2, 4, 3, 1, 0, 1, 4, 0, 2, 4, 2, 4, 3, 4, 3, 4, 2, 3, 2, 3, 1, 0, 0, 1, 1, 0, 1, 2, 0, 4, 3, 0, 3, 3, 4, 3, 4, 4, 4, 2, 4, 1, 3, 0, 3, 4, 3, 3, 1, 2, 2, 1, 3, 4, 2, 1, 3, 3, 3, 1, 3, 4, 1, 2, 1, 0, 0, 4, 4, 0, 2, 2, 3, 3, 2, 1, 2, 2, 4, 3, 3, 0, 4, 4, 2, 1, 0, 2, 4, 0, 1, 0, 0, 1, 3, 0, 2, 4, 3, 4, 4, 1, 3, 1, 0, 1, 2, 4, 1, 4, 1, 3, 4, 3, 1, 1, 4, 3, 4, 3, 0, 4, 4, 0, 1, 1, 2, 1, 2, 3, 4, 0, 0, 2, 1, 1, 0, 3, 0, 0, 0, 0, 2, 0, 2, 4, 2, 0, 3, 2, 4, 1, 4, 0, 4, 1, 4, 1, 4, 0, 0, 1, 1, 1, 0, 0, 3, 3, 4, 1, 2, 2, 4, 3, 2, 0, 2, 3, 4, 0, 2, 0, 1, 0, 1, 2, 3, 2, 3, 1, 2, 1, 1, 2, 0, 2, 3, 4, 2, 4, 0, 3, 1, 4, 1, 4, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 4, 1, 2, 1, 4, 1, 0, 2, 3, 4, 2, 3, 1, 4, 0, 1, 4, 3, 2, 1, 2, 4, 4, 0, 4, 3, 4, 1, 2, 4, 2, 3, 1, 2, 0, 3, 0, 4, 2, 1, 1, 1, 4, 2, 2, 3, 2, 0, 1, 0, 3, 4, 0, 3, 4, 4, 4, 3, 3, 1, 0, 3, 1, 4, 2, 1, 0, 3, 0, 2, 4, 4, 0, 0, 4, 3, 0, 3, 4, 0, 3, 3, 0, 2, 2, 2, 3, 0, 3, 2, 4, 0, 3, 2, 4, 3, 4, 2, 3, 1, 3, 2, 4, 0, 2, 3, 3, 3, 4, 0, 1, 0, 4, 4, 2, 2, 4, 4, 3, 2, 2, 0, 3, 3, 2, 0, 3, 0, 2, 2, 3, 4, 0, 3, 2, 2, 4, 2, 4, 0, 0, 3, 4, 4, 4, 3, 4, 1, 2, 2, 0, 4, 4, 2, 4, 1, 4, 2, 0, 0, 4, 4, 2, 3, 4, 2, 1, 1, 2, 0, 4, 0, 1, 1, 4, 1, 1, 1, 2, 0, 4, 1, 1, 4, 0, 1, 3, 1, 1, 1, 1, 4, 3, 1, 2, 2, 0, 3, 1, 2, 0, 1, 0, 0, 0, 2, 3, 1, 4, 1, 2, 1, 4, 1, 0, 2, 3, 0, 2, 1, 1, 1, 1, 2, 4, 0, 2, 0, 4, 0, 0, 0, 1, 3, 1, 2, 2, 4, 0, 0, 0, 4, 4, 2]
pubkeycol1125 = [1, 4, 1, 2, 0, 0, 1, 4, 2, 3, 4, 2, 3, 1, 0, 1, 0, 0, 2, 4, 2, 3, 4, 1, 0, 2, 3, 0, 4, 2, 4, 1, 1, 0, 4, 1, 0, 3, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 3, 1, 4, 3, 3, 2, 3, 3, 0, 3, 4, 3, 1, 4, 1, 0, 1, 2, 0, 4, 2, 2, 4, 0, 3, 3, 3, 1, 3, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 4, 3, 0, 4, 4, 3, 3, 4, 1, 3, 4, 3, 2, 3, 1, 2, 3, 0, 2, 2, 0, 2, 0, 1, 1, 3, 1, 1, 4, 4, 4, 3, 3, 1, 4, 4, 0, 0, 3, 3, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 4, 2, 1, 0, 3, 1, 2, 0, 4, 4, 0, 1, 4, 2, 3, 3, 4, 3, 1, 1, 1, 3, 2, 1, 2, 0, 3, 1, 2, 2, 4, 3, 0, 1, 2, 4, 2, 3, 1, 0, 1, 1, 3, 0, 0, 1, 2, 4, 2, 3, 1, 2, 2, 4, 0, 4, 0, 1, 1, 2, 0, 3, 1, 3, 1, 3, 4, 0, 0, 0, 3, 0, 4, 1, 1, 2, 1, 1, 2, 4, 2, 1, 3, 1, 1, 1, 0, 2, 0, 4, 4, 2, 0, 3, 2, 1, 0, 1, 3, 1, 0, 4, 1, 3, 0, 3, 2, 1, 0, 3, 4, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 4, 2, 2, 4, 2, 3, 4, 1, 3, 3, 2, 0, 2, 1, 3, 3, 3, 2, 2, 1, 3, 0, 2, 1, 1, 4, 4, 0, 0, 1, 3, 0, 1, 0, 3, 2, 1, 3, 2, 4, 1, 3, 3, 1, 2, 4, 1, 2, 4, 3, 2, 0, 4, 4, 4, 2, 3, 2, 4, 2, 2, 0, 4, 3, 4, 0, 3, 3, 2, 1, 4, 2, 3, 4, 4, 3, 4, 2, 0, 4, 4, 3, 2, 0, 1, 4, 4, 1, 2, 1, 0, 3, 3, 4, 3, 2, 0, 3, 2, 0, 4, 4, 2, 3, 0, 4, 3, 2, 1, 3, 0, 4, 3, 3, 2, 1, 4, 3, 1, 4, 2, 0, 0, 1, 4, 1, 2, 4, 3, 1, 4, 3, 1, 1, 3, 4, 2, 0, 1, 1, 0, 3, 3, 0, 4, 1, 1, 3, 1, 2, 4, 1, 1, 3, 2, 2, 3, 2, 4, 0, 4, 2, 4, 2, 3, 2, 4, 4, 0, 1, 2, 3, 2, 0, 2, 2, 0, 4, 4, 2, 2, 3, 0, 3, 2, 2, 2, 1, 0, 4, 4, 3, 0, 0, 2, 1, 3, 1, 3, 2, 4, 0, 2, 2, 2, 1, 2, 3, 2, 3, 0, 2, 2, 4, 1, 3, 0, 3, 1, 2, 1, 2, 3, 3, 4, 3]
pubkeycol1126 = [2, 1, 0, 2, 3, 2, 3, 1, 4, 4, 2, 2, 2, 2, 2, 1, 1, 3, 0, 1, 4, 2, 2, 4, 0, 0, 3, 4, 4, 1, 3, 1, 2, 3, 3, 1, 1, 0, 4, 1, 3, 0, 0, 3, 3, 3, 3, 1, 1, 2, 4, 0, 2, 2, 4, 4, 3, 4, 2, 3, 3, 0, 3, 0, 1, 0, 0, 2, 3, 0, 1, 0, 2, 0, 2, 2, 3, 1, 4, 1, 1, 2, 4, 0, 4, 3, 1, 2, 2, 2, 4, 3, 4, 2, 0, 1, 1, 0, 0, 3, 3, 1, 1, 0, 4, 3, 0, 1, 2, 3, 2, 3, 3, 3, 0, 0, 2, 2, 1, 0, 2, 2, 3, 0, 2, 2, 3, 1, 4, 4, 3, 3, 0, 0, 2, 4, 2, 0, 3, 2, 2, 3, 4, 2, 1, 4, 4, 0, 0, 4, 0, 3, 1, 1, 4, 0, 3, 0, 0, 4, 0, 3, 0, 0, 4, 1, 0, 1, 4, 4, 3, 4, 2, 1, 4, 2, 4, 2, 1, 0, 0, 2, 3, 1, 4, 4, 0, 3, 0, 4, 0, 3, 0, 0, 1, 2, 4, 1, 3, 4, 2, 3, 1, 3, 4, 1, 1, 1, 4, 1, 4, 3, 2, 4, 1, 2, 1, 0, 4, 4, 2, 0, 2, 4, 1, 3, 0, 4, 4, 2, 3, 1, 4, 2, 3, 1, 3, 0, 3, 4, 4, 1, 3, 2, 2, 2, 0, 0, 2, 0, 2, 4, 3, 1, 1, 2, 0, 4, 3, 1, 3, 3, 3, 0, 1, 0, 0, 4, 2, 2, 3, 0, 4, 2, 4, 1, 0, 0, 0, 4, 2, 3, 3, 1, 3, 3, 1, 4, 3, 4, 2, 0, 0, 2, 1, 0, 4, 1, 0, 4, 1, 2, 3, 1, 0, 2, 1, 2, 2, 4, 1, 4, 0, 1, 0, 3, 3, 0, 2, 0, 3, 4, 3, 0, 3, 4, 0, 3, 0, 1, 3, 4, 1, 3, 3, 0, 3, 3, 3, 1, 1, 4, 2, 3, 3, 1, 0, 2, 2, 3, 1, 1, 1, 3, 2, 3, 2, 2, 0, 3, 0, 0, 1, 1, 1, 3, 0, 1, 0, 3, 0, 2, 1, 3, 4, 4, 3, 2, 1, 1, 1, 4, 4, 3, 1, 3, 3, 3, 1, 1, 3, 2, 4, 2, 3, 0, 3, 3, 3, 0, 1, 1, 2, 2, 4, 3, 2, 2, 0, 2, 2, 1, 3, 4, 0, 4, 1, 1, 1, 3, 4, 0, 4, 1, 2, 3, 0, 4, 4, 3, 4, 2, 2, 4, 0, 3, 2, 1, 4, 2, 4, 1, 2, 2, 4, 2, 4, 2, 4, 1, 1, 3, 0, 0, 1, 3, 0, 2, 1, 1, 3, 0, 1, 3, 4, 1, 3, 4, 3, 4, 0, 3, 3, 4, 3, 4, 4, 3, 4, 0, 0, 4, 3, 2, 2, 0, 3, 1, 2, 2, 4, 3, 4, 1, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 2]
pubkeycol1127 = [0, 2, 0, 0, 4, 0, 1, 2, 2, 2, 1, 1, 3, 0, 4, 1, 3, 0, 0, 3, 3, 2, 3, 0, 3, 1, 3, 3, 1, 3, 3, 1, 2, 2, 0, 2, 1, 2, 1, 4, 2, 1, 4, 0, 1, 4, 1, 0, 0, 4, 2, 4, 1, 1, 3, 1, 2, 3, 3, 2, 1, 2, 2, 0, 1, 3, 1, 3, 4, 2, 2, 0, 4, 3, 3, 2, 2, 2, 3, 3, 1, 4, 1, 2, 0, 0, 0, 4, 1, 2, 2, 1, 4, 4, 0, 4, 2, 1, 0, 1, 1, 3, 0, 0, 1, 0, 2, 3, 2, 3, 3, 4, 2, 2, 3, 3, 4, 0, 3, 4, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 4, 1, 3, 4, 4, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 4, 3, 2, 3, 0, 2, 3, 1, 2, 4, 4, 2, 4, 3, 0, 0, 1, 0, 2, 3, 0, 0, 0, 3, 0, 3, 2, 2, 4, 0, 0, 1, 0, 1, 2, 3, 3, 3, 3, 1, 0, 4, 2, 4, 0, 3, 0, 1, 0, 3, 3, 2, 2, 1, 3, 4, 4, 0, 4, 3, 3, 2, 2, 1, 1, 0, 4, 2, 4, 1, 0, 4, 2, 4, 0, 3, 0, 3, 0, 2, 4, 0, 3, 4, 4, 0, 1, 4, 1, 4, 4, 1, 2, 3, 1, 4, 3, 2, 2, 3, 0, 4, 0, 3, 1, 4, 3, 4, 1, 0, 2, 3, 1, 2, 1, 0, 0, 2, 0, 3, 0, 0, 3, 1, 2, 2, 1, 0, 0, 3, 0, 4, 2, 4, 1, 3, 0, 3, 3, 4, 3, 0, 1, 1, 2, 4, 0, 4, 2, 2, 4, 4, 2, 3, 3, 4, 4, 3, 4, 1, 3, 3, 1, 1, 1, 4, 1, 3, 3, 1, 0, 4, 4, 2, 1, 1, 4, 2, 0, 1, 0, 3, 2, 0, 0, 2, 1, 4, 3, 3, 0, 1, 0, 0, 2, 0, 4, 4, 3, 0, 4, 4, 4, 1, 3, 0, 3, 3, 4, 1, 2, 0, 1, 2, 1, 2, 3, 1, 2, 0, 4, 1, 1, 2, 1, 4, 0, 0, 0, 0, 1, 1, 2, 4, 4, 0, 0, 1, 4, 3, 0, 2, 2, 0, 3, 0, 2, 0, 4, 1, 3, 2, 4, 3, 0, 4, 2, 3, 1, 1, 2, 2, 4, 3, 1, 0, 4, 2, 0, 4, 3, 2, 0, 4, 1, 0, 0, 4, 2, 3, 3, 2, 3, 0, 4, 1, 0, 4, 1, 4, 0, 4, 0, 4, 0, 4, 4, 1, 0, 3, 1, 3, 3, 4, 4, 2, 0, 0, 4, 2, 4, 1, 0, 3, 3, 1, 2, 1, 2, 4, 3, 2, 2, 1, 4, 2, 3, 2, 4, 4, 4, 2, 0, 4, 4, 3, 0, 1, 1, 2, 3, 0, 0, 2, 1, 3, 4, 2, 3, 4, 2, 1]
pubkeycol1128 = [2, 3, 4, 1, 3, 0, 0, 2, 3, 3, 3, 1, 4, 0, 4, 1, 0, 2, 0, 3, 2, 1, 0, 2, 1, 2, 1, 0, 4, 3, 2, 1, 0, 4, 2, 2, 4, 2, 1, 3, 0, 4, 1, 1, 0, 0, 0, 0, 3, 0, 3, 3, 2, 1, 1, 0, 2, 0, 2, 0, 1, 3, 0, 3, 3, 2, 2, 2, 3, 1, 3, 1, 3, 1, 4, 2, 4, 1, 3, 2, 4, 4, 4, 3, 4, 4, 1, 2, 3, 1, 2, 4, 2, 2, 4, 2, 1, 0, 2, 2, 4, 4, 2, 0, 0, 2, 3, 2, 4, 0, 2, 2, 1, 0, 4, 1, 3, 4, 3, 3, 4, 3, 2, 3, 1, 4, 4, 2, 4, 3, 0, 1, 0, 2, 4, 4, 3, 3, 3, 4, 1, 3, 4, 4, 3, 4, 2, 4, 1, 2, 2, 1, 4, 0, 2, 3, 2, 1, 1, 2, 4, 4, 4, 1, 2, 3, 2, 0, 3, 2, 1, 2, 2, 2, 0, 0, 1, 1, 3, 3, 2, 4, 4, 4, 0, 4, 4, 3, 4, 4, 2, 0, 0, 4, 0, 2, 1, 2, 0, 0, 1, 2, 3, 1, 2, 2, 2, 1, 3, 1, 0, 0, 3, 1, 3, 1, 2, 2, 2, 0, 0, 4, 3, 3, 4, 3, 1, 4, 3, 2, 2, 1, 1, 0, 4, 1, 0, 1, 1, 1, 3, 2, 4, 2, 4, 4, 1, 1, 4, 3, 2, 2, 4, 4, 2, 4, 3, 4, 2, 3, 0, 0, 2, 1, 1, 2, 2, 3, 4, 4, 3, 3, 1, 3, 0, 1, 3, 1, 2, 0, 3, 1, 0, 1, 0, 1, 4, 2, 1, 2, 2, 4, 0, 4, 2, 4, 3, 4, 4, 4, 4, 2, 4, 4, 0, 2, 0, 0, 1, 0, 4, 2, 4, 2, 0, 0, 2, 3, 4, 3, 2, 2, 1, 4, 1, 3, 3, 2, 4, 1, 1, 0, 0, 1, 4, 0, 3, 0, 3, 2, 2, 2, 4, 0, 3, 3, 3, 3, 3, 1, 0, 0, 0, 1, 1, 1, 0, 3, 4, 3, 2, 3, 1, 0, 1, 4, 2, 1, 2, 4, 0, 2, 2, 0, 3, 3, 1, 1, 0, 3, 1, 3, 1, 0, 3, 0, 3, 4, 4, 4, 2, 2, 4, 3, 4, 1, 1, 3, 2, 4, 1, 4, 4, 3, 3, 3, 2, 3, 3, 0, 1, 3, 0, 2, 2, 4, 4, 1, 3, 4, 2, 3, 2, 1, 3, 0, 2, 4, 4, 4, 2, 1, 2, 1, 2, 2, 4, 2, 3, 3, 4, 4, 4, 4, 2, 1, 2, 3, 4, 0, 2, 3, 3, 2, 3, 3, 1, 2, 1, 3, 0, 0, 4, 2, 4, 1, 4, 2, 1, 1, 3, 0, 4, 4, 4, 4, 2, 0, 0, 2, 4, 1, 4, 2, 4, 0, 2, 1, 4, 4, 2, 4, 1, 1, 4, 1, 0, 0, 3, 3, 0, 0, 3, 1, 0]
pubkeycol1129 = [2, 4, 3, 1, 1, 3, 1, 4, 4, 2, 2, 3, 0, 3, 2, 1, 0, 4, 2, 2, 3, 1, 1, 2, 4, 3, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 3, 4, 2, 3, 2, 2, 3, 4, 2, 3, 4, 1, 4, 0, 0, 3, 1, 2, 4, 2, 4, 1, 0, 2, 1, 4, 3, 1, 1, 2, 1, 4, 3, 1, 1, 3, 4, 4, 4, 1, 4, 3, 3, 1, 1, 1, 4, 1, 0, 0, 2, 4, 0, 2, 2, 1, 2, 4, 2, 0, 0, 3, 3, 3, 2, 1, 3, 4, 4, 3, 0, 0, 1, 2, 0, 2, 0, 1, 1, 4, 2, 4, 0, 2, 1, 4, 2, 2, 3, 0, 1, 4, 4, 1, 2, 4, 2, 4, 0, 1, 4, 3, 4, 0, 0, 4, 0, 3, 2, 0, 4, 2, 3, 3, 4, 1, 3, 3, 0, 4, 2, 1, 4, 1, 4, 1, 3, 1, 4, 3, 0, 0, 4, 2, 3, 4, 2, 4, 3, 2, 0, 3, 3, 0, 1, 3, 4, 3, 3, 2, 2, 3, 0, 0, 4, 2, 0, 2, 0, 3, 0, 2, 4, 1, 0, 1, 2, 2, 1, 2, 3, 2, 1, 1, 4, 3, 1, 0, 0, 0, 4, 4, 1, 0, 3, 2, 4, 2, 3, 1, 4, 2, 4, 2, 3, 1, 0, 2, 3, 4, 4, 2, 4, 3, 2, 4, 2, 1, 1, 4, 2, 3, 1, 3, 4, 1, 3, 1, 1, 2, 4, 3, 0, 0, 0, 3, 1, 2, 3, 3, 0, 1, 3, 4, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 3, 4, 0, 3, 3, 2, 0, 2, 1, 1, 2, 4, 0, 3, 4, 4, 4, 2, 4, 1, 0, 0, 4, 0, 1, 1, 2, 2, 2, 3, 0, 1, 0, 2, 1, 1, 2, 2, 3, 0, 3, 2, 1, 2, 2, 1, 3, 1, 4, 4, 4, 2, 2, 4, 1, 0, 3, 3, 0, 0, 0, 4, 2, 2, 3, 1, 3, 1, 4, 3, 0, 3, 0, 3, 4, 2, 3, 3, 0, 4, 2, 0, 3, 3, 3, 3, 4, 0, 4, 2, 2, 2, 1, 4, 0, 0, 3, 2, 3, 2, 2, 1, 2, 4, 2, 3, 3, 1, 4, 4, 2, 3, 4, 3, 0, 1, 3, 0, 4, 0, 1, 2, 1, 2, 0, 0, 2, 2, 4, 0, 2, 2, 0, 3, 2, 0, 3, 3, 1, 1, 1, 4, 3, 4, 0, 0, 3, 2, 2, 0, 0, 4, 2, 0, 3, 0, 0, 1, 0, 0, 4, 0, 3, 1, 1, 3, 0, 4, 2, 2, 0, 2, 1, 2, 3, 1, 1, 3, 3, 2, 0, 2, 1, 0, 3, 2, 3, 0, 2, 3, 4, 1, 4, 0, 4, 2, 1, 2, 0, 2, 2, 4, 2, 3, 2, 2, 3, 1, 3, 2, 0, 3, 1, 1, 3, 0, 2, 2, 3, 1, 0, 1, 4]
pubkeycol1130 = [0, 0, 3, 4, 2, 2, 2, 3, 1, 1, 2, 2, 3, 4, 1, 1, 3, 2, 2, 0, 4, 4, 1, 3, 3, 2, 0, 2, 3, 0, 2, 4, 0, 3, 1, 3, 4, 2, 2, 2, 1, 1, 3, 0, 4, 0, 2, 2, 0, 3, 1, 4, 3, 0, 2, 2, 4, 3, 2, 0, 4, 4, 4, 0, 1, 1, 0, 4, 4, 3, 0, 3, 1, 3, 2, 1, 0, 3, 3, 0, 3, 1, 2, 1, 3, 3, 1, 4, 4, 2, 2, 3, 2, 4, 3, 2, 3, 0, 0, 0, 2, 3, 3, 3, 3, 3, 1, 1, 2, 2, 4, 2, 1, 4, 3, 0, 0, 2, 2, 0, 4, 3, 2, 2, 1, 3, 4, 3, 3, 3, 4, 1, 0, 4, 4, 3, 1, 1, 4, 2, 2, 2, 1, 3, 2, 2, 4, 4, 4, 0, 1, 3, 2, 1, 2, 0, 3, 2, 1, 2, 0, 4, 0, 4, 2, 2, 2, 0, 3, 4, 3, 4, 1, 2, 3, 2, 0, 1, 4, 1, 3, 4, 1, 2, 1, 3, 3, 0, 0, 3, 2, 4, 2, 1, 1, 0, 3, 3, 0, 3, 0, 4, 1, 1, 4, 4, 2, 4, 2, 1, 1, 1, 1, 0, 4, 2, 2, 3, 2, 1, 0, 1, 2, 2, 0, 3, 0, 3, 4, 3, 1, 3, 1, 4, 0, 4, 0, 3, 0, 0, 0, 3, 4, 1, 0, 4, 3, 2, 0, 3, 3, 3, 0, 1, 4, 1, 4, 4, 2, 1, 1, 2, 0, 4, 3, 1, 0, 4, 0, 4, 2, 0, 2, 1, 0, 4, 3, 0, 3, 2, 1, 0, 4, 1, 1, 2, 1, 4, 3, 2, 3, 3, 3, 3, 4, 4, 0, 1, 4, 2, 4, 0, 1, 0, 0, 4, 1, 1, 3, 0, 1, 1, 4, 0, 3, 0, 2, 1, 1, 3, 2, 2, 4, 2, 1, 2, 2, 2, 4, 2, 0, 0, 0, 4, 2, 1, 0, 2, 2, 2, 1, 1, 0, 4, 1, 3, 1, 2, 2, 3, 0, 3, 4, 2, 4, 4, 0, 3, 3, 3, 2, 4, 4, 2, 4, 4, 0, 4, 4, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 3, 4, 1, 1, 2, 1, 2, 2, 0, 3, 0, 3, 3, 4, 1, 2, 0, 0, 1, 3, 0, 0, 1, 1, 2, 3, 2, 2, 2, 2, 3, 0, 4, 1, 4, 1, 0, 1, 4, 3, 1, 0, 1, 4, 2, 3, 2, 3, 1, 2, 4, 0, 1, 0, 4, 3, 2, 1, 3, 2, 4, 4, 3, 1, 2, 3, 0, 2, 1, 4, 0, 0, 3, 2, 1, 4, 0, 3, 2, 4, 1, 3, 1, 2, 3, 1, 3, 3, 3, 3, 4, 2, 0, 3, 0, 0, 3, 4, 0, 2, 1, 4, 3, 0, 0, 2, 1, 1, 4, 1, 4, 2, 1, 1, 2, 3, 0, 4, 4, 2, 0, 4]
pubkeycol1131 = [1, 4, 3, 0, 1, 4, 2, 4, 3, 4, 4, 4, 0, 3, 4, 1, 0, 0, 1, 2, 2, 4, 0, 1, 2, 2, 2, 1, 4, 0, 4, 3, 1, 1, 2, 2, 4, 0, 4, 0, 4, 3, 2, 3, 3, 1, 2, 1, 1, 4, 4, 1, 4, 3, 4, 1, 4, 1, 0, 1, 1, 1, 4, 3, 3, 1, 4, 2, 1, 1, 3, 2, 3, 1, 3, 4, 0, 1, 0, 3, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 3, 3, 1, 3, 4, 3, 2, 1, 2, 2, 0, 1, 3, 2, 0, 4, 4, 2, 2, 2, 4, 4, 4, 1, 3, 4, 0, 1, 2, 0, 0, 3, 4, 1, 0, 1, 4, 0, 4, 4, 3, 4, 4, 4, 0, 2, 3, 2, 2, 0, 3, 3, 4, 0, 1, 4, 3, 2, 4, 1, 4, 3, 1, 4, 0, 0, 0, 0, 3, 0, 1, 2, 0, 3, 0, 1, 4, 2, 1, 2, 1, 3, 1, 4, 3, 0, 3, 1, 4, 2, 1, 3, 1, 2, 1, 4, 2, 4, 3, 4, 4, 0, 4, 0, 0, 2, 0, 0, 3, 1, 4, 0, 0, 0, 4, 1, 0, 2, 2, 3, 4, 3, 2, 1, 0, 3, 3, 4, 2, 3, 2, 1, 0, 3, 2, 3, 0, 3, 4, 4, 1, 3, 4, 2, 1, 3, 3, 4, 3, 4, 0, 0, 0, 3, 3, 3, 4, 2, 3, 0, 2, 1, 2, 4, 0, 4, 4, 1, 4, 2, 4, 1, 1, 1, 2, 3, 0, 4, 0, 2, 1, 4, 4, 2, 1, 4, 4, 3, 2, 0, 1, 0, 2, 2, 3, 1, 4, 1, 3, 1, 2, 0, 3, 1, 1, 4, 3, 2, 4, 4, 2, 4, 1, 4, 3, 4, 3, 4, 3, 1, 4, 3, 0, 4, 1, 2, 3, 4, 0, 2, 1, 1, 1, 1, 0, 0, 3, 4, 2, 2, 4, 3, 0, 1, 2, 3, 3, 1, 2, 2, 1, 1, 3, 2, 2, 2, 1, 4, 0, 1, 4, 1, 1, 1, 3, 0, 0, 2, 1, 1, 3, 3, 3, 3, 0, 1, 3, 3, 4, 4, 2, 3, 4, 4, 4, 2, 2, 1, 0, 2, 3, 2, 3, 1, 3, 4, 4, 0, 0, 4, 4, 3, 0, 4, 2, 3, 3, 4, 2, 3, 2, 2, 4, 4, 2, 0, 4, 2, 2, 0, 2, 4, 1, 3, 4, 4, 3, 2, 2, 1, 4, 4, 1, 4, 4, 1, 4, 4, 3, 3, 1, 4, 1, 1, 2, 4, 2, 4, 1, 0, 1, 2, 4, 0, 2, 1, 1, 0, 2, 2, 1, 2, 3, 3, 2, 3, 3, 2, 0, 3, 4, 0, 2, 4, 1, 1, 3, 3, 0, 4, 2, 2, 0, 1, 2, 1, 3, 2, 0, 2, 2, 0, 3, 4, 1, 1, 3, 4, 1, 0, 1, 3, 1, 3, 1, 2, 1, 3, 0, 1, 3, 3, 4, 0]
pubkeycol1132 = [3, 0, 4, 0, 2, 0, 2, 0, 1, 2, 3, 0, 2, 4, 3, 0, 2, 2, 4, 4, 3, 0, 3, 2, 1, 0, 0, 0, 4, 3, 3, 1, 2, 1, 4, 0, 0, 0, 3, 3, 1, 4, 3, 4, 3, 1, 3, 4, 2, 3, 2, 2, 1, 4, 4, 4, 0, 4, 3, 2, 2, 2, 1, 3, 3, 4, 2, 3, 0, 1, 3, 0, 4, 3, 2, 4, 3, 0, 0, 4, 0, 2, 4, 3, 0, 2, 0, 4, 2, 4, 4, 3, 4, 1, 4, 3, 0, 2, 4, 3, 2, 4, 1, 3, 1, 0, 1, 0, 4, 2, 1, 4, 2, 2, 2, 1, 2, 4, 0, 4, 3, 0, 4, 0, 3, 3, 4, 4, 1, 3, 1, 2, 2, 0, 1, 2, 3, 1, 1, 1, 0, 2, 1, 3, 2, 2, 2, 0, 3, 2, 0, 3, 2, 1, 4, 2, 2, 4, 1, 4, 1, 3, 4, 1, 4, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 4, 1, 2, 3, 2, 1, 4, 4, 1, 3, 4, 3, 1, 3, 4, 0, 0, 3, 2, 0, 2, 1, 2, 3, 3, 1, 4, 2, 1, 1, 2, 2, 3, 1, 3, 4, 4, 4, 3, 2, 3, 4, 4, 4, 2, 4, 4, 3, 4, 1, 2, 0, 4, 1, 2, 3, 3, 1, 0, 3, 3, 4, 2, 1, 4, 0, 2, 3, 0, 4, 4, 0, 1, 3, 1, 3, 4, 3, 1, 3, 0, 1, 3, 0, 2, 2, 0, 4, 3, 0, 4, 3, 1, 1, 0, 0, 0, 0, 4, 3, 2, 0, 1, 4, 3, 1, 1, 1, 1, 2, 3, 1, 1, 0, 2, 4, 1, 4, 4, 0, 3, 0, 0, 3, 2, 2, 1, 1, 1, 4, 4, 3, 1, 2, 0, 0, 2, 0, 1, 4, 2, 1, 4, 0, 0, 4, 2, 0, 1, 4, 1, 4, 2, 3, 3, 4, 4, 3, 2, 4, 0, 1, 2, 2, 3, 2, 3, 0, 3, 0, 1, 4, 3, 0, 0, 0, 3, 4, 3, 3, 3, 4, 4, 3, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 3, 1, 2, 4, 0, 0, 0, 0, 1, 2, 4, 4, 1, 2, 4, 4, 0, 0, 0, 3, 1, 3, 2, 0, 4, 0, 2, 3, 4, 0, 4, 0, 3, 2, 2, 1, 2, 3, 4, 2, 0, 1, 2, 2, 2, 0, 0, 3, 2, 2, 3, 2, 3, 1, 3, 2, 0, 1, 4, 1, 0, 3, 2, 3, 0, 2, 2, 4, 4, 4, 4, 0, 2, 4, 2, 1, 2, 4, 4, 1, 2, 0, 3, 4, 2, 4, 1, 4, 4, 3, 4, 4, 3, 1, 1, 0, 0, 1, 2, 4, 0, 0, 4, 1, 0, 3, 4, 4, 1, 1, 2, 1, 2, 2, 4, 0, 4, 1, 0, 4, 0, 3, 3, 4, 1, 2, 1, 2, 3, 3, 0, 4, 2, 4, 4, 3]
pubkeycol1133 = [1, 0, 3, 2, 4, 1, 2, 2, 2, 0, 2, 2, 3, 1, 2, 0, 4, 3, 0, 3, 2, 1, 1, 3, 0, 3, 4, 0, 4, 2, 4, 1, 4, 4, 4, 0, 4, 3, 4, 3, 3, 4, 0, 3, 1, 3, 2, 3, 4, 1, 4, 4, 4, 0, 0, 2, 1, 3, 0, 4, 4, 0, 3, 2, 3, 0, 3, 2, 1, 1, 0, 2, 2, 3, 3, 3, 1, 4, 2, 1, 0, 1, 3, 4, 2, 1, 4, 0, 2, 2, 3, 1, 2, 0, 4, 4, 1, 0, 2, 0, 4, 1, 0, 4, 2, 1, 4, 1, 0, 3, 0, 3, 1, 1, 1, 0, 2, 4, 0, 4, 0, 4, 1, 1, 4, 3, 4, 2, 4, 3, 4, 0, 3, 0, 0, 4, 1, 3, 4, 0, 2, 2, 1, 3, 3, 0, 4, 4, 1, 0, 4, 2, 4, 4, 0, 4, 2, 4, 3, 1, 2, 0, 1, 0, 2, 4, 2, 0, 2, 3, 4, 1, 3, 4, 1, 2, 4, 3, 4, 2, 2, 3, 1, 1, 1, 3, 2, 0, 0, 3, 1, 3, 4, 4, 2, 2, 0, 3, 3, 0, 1, 0, 0, 2, 3, 3, 1, 1, 2, 4, 1, 3, 2, 3, 1, 0, 3, 1, 0, 3, 1, 3, 4, 2, 0, 3, 1, 3, 0, 0, 0, 4, 2, 3, 4, 4, 4, 4, 0, 0, 1, 3, 1, 3, 2, 4, 0, 0, 2, 3, 3, 0, 2, 1, 4, 3, 2, 1, 4, 3, 4, 0, 1, 3, 2, 2, 3, 1, 0, 3, 0, 0, 3, 0, 4, 2, 4, 2, 3, 2, 3, 1, 3, 4, 1, 3, 4, 3, 4, 1, 2, 1, 3, 3, 0, 4, 0, 0, 3, 4, 4, 2, 0, 0, 4, 3, 2, 1, 3, 1, 4, 2, 3, 2, 0, 3, 2, 4, 1, 4, 4, 1, 3, 2, 4, 3, 3, 4, 4, 3, 1, 3, 1, 0, 1, 4, 2, 4, 3, 2, 4, 0, 0, 0, 0, 2, 1, 3, 1, 0, 0, 2, 3, 0, 3, 2, 1, 4, 2, 0, 3, 2, 3, 4, 3, 4, 0, 1, 4, 1, 2, 2, 4, 1, 4, 3, 2, 4, 2, 2, 0, 0, 1, 3, 2, 1, 3, 0, 0, 3, 2, 2, 4, 3, 1, 0, 2, 1, 3, 1, 2, 3, 3, 4, 0, 4, 2, 4, 3, 0, 3, 1, 2, 0, 2, 4, 0, 1, 0, 1, 2, 1, 4, 3, 3, 0, 2, 1, 4, 3, 1, 2, 3, 4, 3, 3, 0, 4, 4, 2, 1, 3, 0, 4, 3, 3, 3, 1, 0, 2, 4, 1, 0, 0, 4, 3, 0, 3, 0, 4, 2, 3, 3, 1, 0, 4, 2, 2, 0, 1, 4, 3, 3, 2, 2, 0, 2, 4, 1, 0, 0, 4, 0, 2, 4, 3, 3, 0, 1, 1, 4, 4, 0, 0, 3, 2, 2, 1, 4, 1, 0, 3, 2, 2, 1]
pubkeycol1134 = [3, 4, 3, 0, 0, 0, 0, 1, 4, 4, 2, 2, 0, 1, 3, 0, 2, 1, 3, 1, 0, 1, 1, 4, 2, 1, 4, 3, 4, 3, 2, 4, 4, 4, 3, 2, 4, 1, 2, 0, 2, 3, 4, 0, 3, 1, 1, 3, 1, 4, 1, 4, 4, 2, 4, 0, 2, 0, 1, 0, 0, 4, 4, 3, 3, 0, 4, 1, 3, 1, 2, 2, 3, 0, 0, 3, 3, 0, 2, 4, 3, 2, 0, 0, 2, 1, 3, 0, 0, 3, 0, 3, 4, 1, 4, 4, 2, 2, 4, 4, 0, 2, 1, 2, 3, 0, 0, 1, 4, 1, 4, 2, 4, 3, 2, 0, 0, 2, 1, 0, 1, 2, 2, 3, 4, 1, 1, 4, 2, 1, 3, 0, 2, 0, 1, 4, 2, 4, 1, 3, 0, 0, 1, 4, 0, 2, 4, 2, 2, 1, 4, 0, 1, 1, 3, 3, 3, 4, 0, 4, 4, 1, 3, 3, 0, 2, 1, 3, 2, 1, 2, 1, 1, 3, 0, 1, 1, 0, 4, 0, 3, 4, 0, 1, 4, 4, 2, 1, 1, 3, 4, 1, 1, 1, 0, 2, 3, 0, 1, 4, 4, 3, 2, 2, 0, 3, 0, 1, 0, 3, 3, 0, 4, 2, 2, 1, 0, 1, 4, 0, 0, 0, 3, 2, 3, 4, 3, 1, 1, 4, 0, 1, 3, 0, 4, 4, 1, 1, 4, 2, 1, 0, 1, 1, 3, 0, 0, 1, 1, 2, 2, 2, 4, 0, 3, 3, 1, 3, 0, 3, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 4, 0, 3, 3, 2, 3, 4, 3, 2, 2, 1, 3, 0, 2, 1, 2, 3, 1, 1, 3, 3, 1, 4, 1, 2, 2, 0, 4, 3, 0, 1, 3, 0, 4, 2, 2, 4, 2, 3, 3, 2, 4, 0, 4, 2, 4, 2, 1, 0, 4, 4, 3, 0, 0, 2, 0, 2, 1, 0, 3, 3, 0, 1, 2, 1, 4, 0, 1, 4, 2, 3, 3, 2, 1, 1, 2, 4, 2, 2, 0, 2, 4, 3, 2, 2, 4, 0, 4, 4, 2, 1, 2, 2, 4, 3, 2, 0, 2, 2, 3, 4, 4, 1, 2, 0, 2, 3, 1, 1, 2, 0, 1, 0, 2, 4, 2, 2, 3, 1, 3, 1, 0, 4, 0, 3, 4, 0, 0, 0, 2, 2, 2, 4, 4, 3, 0, 4, 2, 0, 3, 0, 0, 2, 3, 0, 1, 0, 2, 0, 4, 4, 0, 0, 2, 0, 3, 4, 4, 0, 3, 2, 1, 1, 1, 0, 2, 3, 4, 3, 4, 1, 1, 0, 2, 1, 0, 0, 0, 1, 3, 1, 0, 3, 2, 2, 0, 1, 0, 4, 2, 0, 4, 1, 3, 0, 0, 1, 0, 2, 1, 4, 4, 1, 3, 0, 0, 1, 0, 4, 4, 0, 2, 2, 1, 4, 1, 4, 3, 3, 2, 0, 3, 3, 3, 2, 4, 2, 3, 1, 1, 0, 3, 4, 2, 1]
pubkeycol1135 = [0, 4, 0, 1, 0, 1, 3, 2, 4, 0, 1, 4, 1, 1, 1, 4, 1, 1, 0, 0, 2, 3, 3, 2, 3, 3, 4, 4, 3, 4, 1, 1, 0, 1, 0, 2, 4, 3, 1, 3, 2, 3, 0, 3, 1, 3, 4, 0, 3, 0, 4, 3, 0, 1, 2, 3, 2, 2, 2, 0, 3, 0, 0, 0, 2, 2, 3, 1, 1, 0, 1, 3, 2, 0, 3, 1, 3, 3, 4, 3, 4, 1, 1, 2, 1, 1, 1, 1, 3, 1, 2, 3, 4, 2, 2, 4, 4, 1, 3, 4, 4, 0, 3, 2, 4, 1, 1, 4, 2, 0, 0, 3, 1, 3, 1, 2, 0, 0, 3, 3, 3, 4, 1, 4, 0, 0, 4, 0, 3, 4, 0, 0, 0, 3, 4, 4, 4, 4, 0, 0, 2, 4, 2, 1, 4, 4, 2, 1, 0, 4, 2, 4, 2, 4, 1, 4, 2, 4, 2, 3, 3, 1, 4, 2, 4, 3, 3, 3, 0, 1, 1, 2, 4, 4, 0, 4, 2, 4, 3, 0, 1, 3, 4, 3, 0, 0, 0, 1, 4, 4, 3, 3, 0, 1, 4, 1, 0, 4, 2, 4, 2, 2, 4, 3, 0, 2, 3, 4, 0, 1, 3, 2, 3, 4, 3, 3, 3, 0, 2, 2, 1, 2, 4, 0, 4, 0, 3, 0, 0, 2, 4, 1, 2, 3, 3, 2, 2, 4, 3, 3, 1, 1, 4, 2, 2, 3, 1, 2, 3, 2, 4, 1, 0, 4, 2, 0, 2, 1, 4, 4, 3, 0, 1, 0, 0, 1, 0, 3, 3, 3, 1, 0, 3, 3, 4, 1, 1, 1, 3, 0, 1, 0, 1, 2, 2, 3, 4, 0, 0, 2, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 0, 2, 3, 2, 4, 2, 0, 0, 2, 3, 0, 1, 2, 3, 0, 4, 0, 0, 4, 3, 0, 3, 4, 2, 1, 3, 0, 3, 3, 3, 4, 3, 0, 0, 4, 0, 2, 4, 0, 3, 4, 2, 1, 3, 4, 2, 2, 4, 1, 1, 3, 3, 2, 0, 3, 2, 1, 2, 1, 0, 1, 1, 2, 3, 4, 0, 3, 0, 1, 1, 3, 4, 2, 4, 2, 1, 1, 3, 4, 4, 4, 2, 0, 2, 4, 4, 2, 2, 3, 2, 0, 2, 4, 0, 0, 3, 3, 2, 0, 2, 4, 0, 3, 1, 0, 3, 3, 4, 2, 4, 0, 1, 0, 2, 3, 1, 1, 4, 1, 1, 4, 0, 1, 4, 0, 0, 1, 1, 4, 4, 2, 2, 0, 3, 0, 3, 4, 2, 2, 4, 1, 2, 2, 2, 3, 3, 3, 4, 4, 1, 4, 1, 2, 1, 0, 2, 4, 4, 4, 3, 3, 3, 4, 3, 2, 4, 4, 0, 0, 1, 0, 1, 0, 3, 1, 2, 3, 1, 2, 1, 0, 4, 2, 2, 4, 1, 4, 2, 2, 0, 0, 3, 4, 1, 0, 4, 2, 0, 0, 4, 2, 2, 2, 1, 4]
pubkeycol1136 = [1, 4, 0, 4, 4, 0, 3, 2, 0, 4, 3, 1, 2, 0, 0, 4, 0, 1, 3, 4, 3, 4, 1, 3, 2, 2, 0, 1, 0, 0, 2, 2, 3, 0, 2, 1, 1, 0, 2, 4, 3, 1, 2, 3, 2, 3, 3, 1, 1, 3, 3, 0, 0, 3, 3, 3, 4, 1, 4, 4, 4, 1, 2, 2, 4, 3, 3, 4, 4, 1, 3, 2, 4, 2, 3, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 4, 0, 4, 1, 0, 4, 3, 4, 3, 0, 4, 0, 4, 2, 1, 2, 1, 0, 4, 0, 1, 0, 2, 4, 1, 0, 0, 3, 1, 2, 1, 3, 4, 1, 0, 4, 1, 1, 0, 1, 0, 1, 0, 4, 4, 3, 0, 2, 2, 1, 3, 0, 1, 4, 3, 4, 3, 2, 2, 0, 1, 2, 1, 3, 2, 3, 4, 3, 2, 4, 2, 3, 2, 2, 4, 1, 3, 4, 2, 0, 1, 3, 4, 0, 3, 3, 4, 3, 4, 3, 0, 0, 3, 2, 2, 3, 3, 0, 3, 0, 1, 2, 3, 4, 3, 0, 1, 2, 0, 4, 0, 1, 4, 3, 0, 4, 1, 3, 2, 1, 4, 3, 2, 2, 0, 4, 4, 2, 3, 3, 4, 1, 3, 1, 4, 2, 1, 2, 4, 2, 2, 2, 4, 4, 1, 1, 4, 3, 2, 3, 3, 0, 3, 2, 4, 1, 3, 3, 4, 2, 4, 1, 0, 1, 2, 4, 2, 0, 3, 3, 0, 3, 2, 2, 4, 1, 4, 0, 4, 4, 0, 3, 4, 2, 4, 4, 0, 2, 1, 4, 1, 0, 4, 0, 3, 2, 3, 3, 0, 0, 0, 2, 4, 2, 4, 3, 3, 4, 3, 1, 3, 2, 4, 4, 0, 4, 4, 1, 2, 2, 0, 3, 2, 2, 3, 4, 4, 4, 0, 3, 1, 1, 0, 0, 1, 0, 1, 1, 0, 4, 0, 3, 0, 1, 3, 3, 0, 1, 1, 3, 1, 2, 4, 3, 3, 0, 2, 4, 4, 3, 2, 1, 0, 4, 1, 2, 3, 4, 0, 1, 4, 2, 3, 0, 2, 3, 2, 2, 1, 0, 3, 1, 1, 4, 0, 1, 0, 4, 1, 2, 4, 2, 0, 4, 1, 2, 2, 3, 2, 2, 4, 3, 3, 2, 0, 3, 3, 3, 2, 0, 3, 2, 1, 0, 1, 1, 2, 4, 3, 0, 2, 0, 0, 1, 3, 0, 3, 2, 1, 4, 4, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 4, 0, 2, 4, 3, 0, 2, 0, 3, 0, 2, 3, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 3, 4, 4, 0, 1, 1, 1, 1, 0, 1, 1, 3, 0, 2, 1, 0, 3, 3, 4, 4, 0, 2, 1, 0, 1, 1, 1, 3, 3, 0, 0, 3, 2, 4, 4, 4, 2, 1, 1, 3, 3, 1, 3, 2, 4, 2, 3, 3, 0, 2, 0, 4]
pubkeycol1137 = [4, 0, 0, 1, 0, 1, 0, 4, 1, 4, 1, 4, 3, 1, 3, 1, 1, 2, 1, 4, 2, 4, 4, 3, 4, 0, 2, 4, 2, 4, 2, 2, 1, 1, 2, 3, 4, 0, 0, 4, 0, 0, 3, 3, 0, 0, 1, 3, 0, 4, 1, 0, 4, 3, 1, 2, 0, 4, 2, 1, 1, 2, 4, 0, 0, 4, 3, 2, 1, 3, 3, 1, 4, 2, 2, 3, 2, 0, 1, 3, 3, 1, 4, 1, 2, 4, 3, 3, 3, 3, 1, 3, 1, 3, 1, 3, 4, 2, 0, 3, 4, 4, 4, 3, 0, 0, 0, 4, 4, 2, 0, 1, 2, 0, 4, 4, 0, 4, 2, 4, 1, 3, 3, 3, 0, 2, 0, 3, 0, 1, 3, 3, 2, 4, 2, 1, 1, 2, 0, 2, 2, 2, 3, 2, 0, 1, 0, 1, 1, 4, 1, 2, 4, 3, 3, 1, 3, 3, 0, 4, 4, 0, 2, 0, 3, 3, 2, 0, 3, 0, 4, 3, 3, 0, 3, 1, 2, 2, 1, 2, 0, 1, 4, 1, 2, 0, 4, 1, 2, 4, 1, 1, 1, 2, 3, 3, 1, 0, 1, 3, 1, 4, 2, 4, 3, 3, 3, 4, 2, 1, 3, 4, 2, 4, 1, 2, 1, 1, 4, 2, 3, 3, 4, 3, 3, 0, 2, 3, 1, 4, 1, 2, 1, 3, 0, 3, 4, 2, 4, 0, 1, 3, 1, 1, 4, 4, 1, 0, 3, 0, 2, 0, 4, 2, 3, 3, 4, 3, 2, 3, 3, 2, 1, 3, 2, 0, 3, 4, 2, 2, 2, 1, 3, 1, 2, 4, 4, 4, 4, 4, 2, 2, 4, 4, 1, 2, 0, 4, 0, 4, 2, 1, 1, 2, 4, 1, 2, 0, 1, 2, 3, 0, 4, 3, 1, 4, 0, 2, 4, 0, 1, 4, 0, 1, 4, 1, 4, 2, 2, 0, 1, 1, 3, 1, 1, 4, 0, 4, 1, 4, 4, 1, 3, 0, 0, 4, 4, 0, 2, 0, 3, 2, 0, 3, 4, 4, 1, 0, 3, 2, 1, 3, 3, 3, 0, 4, 1, 3, 3, 2, 3, 3, 4, 3, 2, 0, 2, 1, 1, 3, 1, 1, 4, 4, 3, 3, 3, 2, 4, 1, 4, 2, 1, 1, 2, 3, 4, 3, 0, 0, 3, 0, 3, 4, 1, 1, 3, 3, 4, 2, 4, 1, 2, 0, 0, 1, 2, 0, 0, 3, 2, 0, 2, 1, 1, 0, 4, 2, 3, 4, 1, 3, 3, 0, 4, 2, 3, 3, 4, 1, 0, 2, 2, 2, 0, 2, 2, 4, 2, 3, 3, 0, 2, 2, 0, 2, 4, 1, 1, 4, 4, 0, 3, 4, 3, 2, 2, 0, 2, 4, 3, 1, 1, 0, 0, 3, 4, 4, 3, 2, 1, 1, 0, 2, 1, 2, 3, 0, 3, 1, 4, 3, 2, 0, 4, 0, 0, 1, 3, 4, 4, 0, 4, 4, 4, 1, 0, 4, 1, 2, 2, 3, 2, 3, 2]
pubkeycol1138 = [4, 3, 3, 2, 2, 4, 4, 3, 2, 0, 3, 3, 4, 4, 3, 0, 0, 0, 3, 4, 1, 3, 3, 1, 3, 1, 3, 2, 2, 4, 1, 4, 1, 3, 2, 0, 3, 0, 4, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 4, 1, 4, 3, 4, 4, 4, 1, 3, 1, 1, 0, 4, 2, 4, 2, 3, 2, 4, 0, 4, 4, 3, 2, 1, 2, 3, 3, 4, 3, 1, 0, 4, 1, 0, 2, 0, 0, 4, 2, 1, 4, 3, 3, 0, 4, 1, 2, 1, 3, 2, 3, 3, 4, 0, 1, 3, 1, 1, 1, 4, 2, 4, 4, 4, 2, 0, 2, 1, 0, 0, 1, 1, 3, 1, 2, 4, 3, 0, 1, 1, 1, 3, 3, 0, 3, 1, 3, 4, 3, 2, 4, 2, 3, 3, 4, 0, 1, 0, 3, 3, 0, 4, 1, 2, 3, 4, 0, 1, 1, 2, 1, 1, 3, 1, 1, 0, 3, 4, 4, 0, 3, 2, 2, 4, 2, 1, 2, 3, 2, 0, 4, 4, 1, 2, 0, 1, 0, 4, 1, 2, 3, 2, 1, 2, 2, 0, 3, 1, 2, 3, 0, 3, 1, 4, 1, 0, 0, 1, 0, 1, 3, 0, 0, 1, 2, 4, 0, 2, 4, 0, 0, 4, 3, 2, 0, 0, 4, 0, 1, 3, 2, 1, 3, 0, 2, 3, 3, 0, 0, 3, 0, 1, 2, 2, 1, 2, 3, 4, 4, 1, 3, 4, 2, 4, 1, 1, 1, 2, 0, 4, 2, 1, 3, 2, 0, 1, 2, 2, 3, 3, 4, 2, 1, 2, 2, 1, 1, 0, 4, 4, 1, 3, 0, 2, 1, 1, 3, 4, 2, 4, 4, 3, 2, 2, 0, 0, 0, 3, 2, 4, 0, 3, 2, 2, 1, 4, 4, 2, 0, 1, 1, 3, 3, 4, 0, 4, 3, 4, 0, 4, 1, 4, 0, 0, 0, 2, 4, 2, 2, 2, 0, 1, 1, 3, 1, 0, 2, 0, 1, 4, 3, 1, 3, 1, 3, 0, 3, 4, 1, 0, 2, 3, 2, 4, 0, 2, 4, 2, 1, 3, 1, 0, 3, 3, 1, 0, 2, 3, 0, 1, 3, 4, 4, 2, 4, 2, 0, 2, 3, 3, 2, 4, 3, 4, 3, 2, 2, 4, 3, 0, 2, 1, 0, 1, 4, 4, 4, 3, 4, 3, 3, 2, 2, 0, 2, 1, 1, 2, 3, 1, 3, 3, 2, 2, 2, 4, 2, 3, 1, 3, 1, 2, 4, 1, 4, 4, 2, 2, 4, 4, 2, 1, 3, 0, 1, 3, 0, 3, 2, 3, 4, 3, 0, 3, 4, 4, 4, 1, 3, 3, 3, 3, 4, 2, 1, 3, 3, 2, 2, 4, 1, 4, 0, 3, 1, 2, 3, 2, 3, 3, 0, 1, 0, 3, 2, 4, 4, 3, 1, 4, 2, 2, 4, 1, 2, 4, 3, 1, 1, 3, 4, 4, 1, 4, 2, 3, 0, 1, 1, 3, 1, 2, 1, 4, 4]
pubkeycol1139 = [3, 4, 3, 4, 0, 1, 2, 1, 1, 1, 4, 4, 0, 1, 0, 3, 4, 2, 3, 4, 0, 4, 0, 0, 0, 2, 1, 0, 2, 1, 3, 0, 0, 4, 4, 3, 2, 1, 2, 2, 1, 1, 2, 4, 2, 3, 4, 4, 0, 4, 2, 3, 0, 4, 1, 4, 4, 1, 4, 4, 1, 1, 4, 0, 1, 3, 4, 2, 4, 0, 2, 4, 2, 3, 0, 3, 4, 2, 3, 1, 0, 0, 4, 1, 4, 1, 0, 3, 4, 0, 2, 1, 0, 0, 0, 3, 4, 2, 1, 3, 1, 2, 2, 0, 1, 1, 2, 4, 2, 3, 3, 2, 3, 2, 1, 4, 2, 0, 2, 0, 0, 0, 2, 2, 0, 4, 2, 1, 0, 3, 2, 1, 2, 0, 0, 4, 3, 0, 1, 0, 4, 0, 4, 3, 4, 4, 2, 1, 4, 1, 0, 0, 1, 3, 0, 2, 4, 2, 3, 1, 1, 2, 1, 1, 4, 4, 1, 2, 0, 2, 3, 0, 2, 3, 1, 4, 4, 4, 0, 2, 3, 4, 0, 3, 4, 4, 3, 1, 3, 2, 3, 4, 1, 4, 4, 2, 2, 2, 1, 0, 3, 0, 0, 4, 1, 2, 1, 3, 0, 4, 3, 2, 3, 2, 3, 3, 3, 3, 0, 4, 1, 4, 1, 4, 3, 3, 2, 1, 1, 4, 4, 0, 3, 4, 4, 1, 1, 2, 3, 0, 2, 0, 3, 0, 0, 2, 0, 1, 3, 1, 2, 2, 0, 0, 4, 4, 4, 1, 4, 0, 4, 1, 3, 3, 3, 0, 3, 4, 1, 3, 0, 0, 1, 2, 0, 0, 3, 4, 0, 3, 2, 3, 0, 4, 4, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 3, 2, 1, 4, 1, 3, 2, 2, 2, 4, 2, 2, 4, 1, 4, 1, 0, 4, 4, 1, 4, 2, 0, 0, 1, 4, 3, 4, 0, 2, 0, 0, 4, 3, 4, 0, 0, 3, 1, 0, 4, 0, 3, 1, 3, 2, 0, 4, 2, 0, 1, 2, 1, 2, 3, 1, 0, 4, 2, 3, 4, 0, 2, 2, 2, 1, 0, 4, 3, 3, 0, 2, 4, 0, 0, 1, 0, 2, 2, 1, 3, 2, 4, 4, 3, 4, 0, 3, 0, 2, 4, 2, 3, 0, 3, 1, 4, 4, 2, 4, 3, 0, 4, 2, 4, 3, 3, 0, 2, 0, 0, 2, 3, 1, 2, 0, 0, 1, 3, 4, 1, 0, 4, 1, 2, 0, 3, 3, 2, 2, 2, 3, 0, 1, 2, 3, 0, 1, 2, 4, 4, 3, 4, 0, 1, 3, 0, 1, 1, 3, 2, 4, 4, 2, 2, 3, 4, 1, 1, 3, 2, 2, 1, 3, 2, 1, 2, 2, 4, 3, 3, 0, 3, 0, 4, 3, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 4, 3, 3, 4, 3, 1, 0, 4, 4, 2, 4, 1, 2, 1, 2, 1, 1, 4, 0, 1, 1, 0, 0, 4]
pubkeycol1140 = [2, 1, 4, 0, 2, 4, 2, 3, 2, 3, 2, 4, 0, 0, 2, 1, 3, 3, 3, 2, 2, 4, 3, 4, 0, 1, 3, 1, 2, 3, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 4, 3, 1, 4, 2, 4, 4, 2, 4, 1, 2, 2, 3, 1, 2, 2, 2, 4, 3, 2, 4, 4, 4, 2, 2, 1, 2, 4, 3, 1, 0, 4, 2, 3, 0, 4, 3, 3, 3, 4, 0, 1, 1, 3, 2, 3, 3, 4, 1, 3, 2, 0, 3, 4, 0, 0, 2, 0, 0, 3, 4, 2, 1, 1, 1, 3, 2, 1, 1, 0, 3, 1, 0, 2, 1, 1, 2, 0, 4, 4, 1, 4, 1, 1, 1, 2, 3, 0, 2, 4, 0, 1, 2, 1, 3, 3, 0, 3, 0, 0, 1, 2, 4, 4, 1, 0, 2, 0, 2, 3, 4, 0, 2, 4, 2, 3, 0, 2, 3, 3, 0, 4, 3, 1, 3, 2, 2, 1, 4, 4, 0, 4, 1, 0, 0, 4, 1, 0, 3, 3, 0, 4, 3, 2, 2, 2, 4, 3, 0, 0, 1, 4, 3, 3, 3, 2, 0, 0, 0, 4, 4, 3, 2, 1, 1, 0, 0, 2, 4, 4, 2, 1, 0, 4, 2, 4, 1, 4, 0, 2, 4, 4, 1, 0, 2, 0, 2, 4, 4, 1, 3, 1, 2, 0, 2, 4, 0, 4, 3, 1, 2, 4, 1, 4, 2, 2, 0, 1, 1, 2, 3, 3, 3, 1, 2, 0, 4, 3, 1, 4, 0, 0, 0, 3, 1, 1, 2, 0, 0, 4, 1, 2, 0, 2, 2, 1, 1, 3, 3, 3, 1, 0, 2, 2, 2, 4, 1, 0, 3, 0, 1, 1, 4, 1, 3, 2, 1, 0, 2, 3, 1, 3, 0, 1, 0, 2, 3, 4, 2, 3, 3, 4, 4, 2, 4, 4, 3, 2, 0, 2, 0, 3, 2, 4, 1, 0, 0, 3, 4, 0, 1, 2, 0, 1, 1, 3, 3, 1, 1, 3, 3, 4, 0, 2, 0, 1, 3, 2, 4, 3, 3, 4, 4, 2, 2, 1, 1, 0, 0, 1, 2, 0, 3, 0, 0, 3, 4, 0, 2, 4, 2, 1, 1, 4, 2, 0, 2, 1, 3, 0, 2, 3, 4, 0, 0, 1, 0, 4, 4, 3, 4, 4, 0, 4, 3, 0, 0, 0, 0, 0, 1, 0, 3, 0, 2, 2, 3, 3, 1, 3, 2, 4, 1, 1, 2, 1, 4, 0, 3, 4, 1, 4, 3, 4, 0, 2, 2, 2, 4, 0, 1, 0, 2, 0, 2, 3, 4, 1, 1, 3, 4, 2, 4, 3, 1, 4, 2, 1, 3, 0, 4, 4, 3, 3, 4, 1, 2, 0, 0, 2, 4, 3, 1, 1, 1, 0, 0, 3, 4, 3, 4, 1, 1, 1, 2, 4, 1, 1, 4, 3, 2, 4, 1, 1, 1, 3, 3, 4, 2, 1, 2, 1, 4, 4, 1, 0, 4, 3, 0, 1, 2, 2, 1, 4]
pubkeycol1141 = [2, 1, 0, 1, 1, 4, 3, 4, 0, 3, 1, 0, 3, 3, 1, 0, 0, 2, 3, 2, 2, 1, 1, 0, 1, 1, 1, 2, 3, 4, 3, 0, 4, 1, 3, 2, 3, 4, 2, 4, 4, 4, 2, 4, 2, 4, 0, 3, 0, 3, 2, 3, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 4, 4, 2, 4, 3, 2, 3, 3, 3, 3, 3, 2, 2, 1, 4, 4, 1, 0, 3, 1, 4, 3, 2, 1, 0, 1, 0, 2, 4, 2, 3, 4, 3, 4, 1, 0, 0, 2, 4, 0, 1, 1, 0, 4, 4, 2, 4, 4, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 4, 1, 3, 4, 3, 1, 4, 0, 1, 0, 4, 0, 1, 1, 1, 3, 3, 1, 2, 4, 4, 4, 1, 1, 1, 0, 2, 2, 3, 4, 1, 1, 0, 4, 0, 3, 2, 2, 4, 2, 4, 4, 0, 3, 1, 2, 2, 3, 4, 4, 3, 3, 2, 0, 1, 3, 0, 3, 1, 0, 0, 2, 2, 3, 2, 4, 1, 2, 1, 3, 0, 2, 2, 0, 0, 2, 4, 0, 2, 4, 3, 1, 4, 3, 2, 0, 0, 1, 3, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 2, 0, 0, 4, 0, 3, 0, 4, 1, 4, 1, 2, 0, 0, 2, 0, 1, 0, 4, 4, 2, 1, 0, 1, 0, 4, 3, 2, 4, 4, 2, 0, 1, 0, 1, 2, 3, 3, 4, 3, 2, 0, 0, 1, 2, 0, 4, 1, 2, 0, 1, 2, 2, 3, 3, 1, 2, 2, 3, 0, 4, 2, 0, 0, 3, 2, 3, 0, 3, 1, 4, 4, 1, 3, 1, 3, 2, 4, 4, 2, 4, 4, 3, 3, 1, 2, 0, 2, 2, 1, 0, 1, 3, 2, 2, 0, 3, 4, 0, 3, 4, 2, 4, 2, 3, 4, 2, 0, 1, 4, 2, 3, 0, 4, 0, 0, 3, 3, 2, 3, 4, 0, 0, 4, 1, 1, 2, 2, 4, 3, 4, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 3, 4, 0, 1, 0, 2, 1, 1, 4, 3, 0, 3, 3, 4, 2, 0, 3, 2, 0, 0, 3, 0, 4, 1, 3, 4, 4, 4, 1, 3, 0, 3, 0, 4, 1, 3, 0, 3, 3, 1, 3, 3, 2, 2, 3, 4, 0, 1, 2, 1, 3, 2, 4, 4, 2, 0, 4, 3, 3, 2, 1, 3, 2, 0, 0, 1, 4, 0, 1, 4, 0, 2, 4, 0, 3, 3, 4, 4, 3, 0, 3, 4, 2, 2, 4, 3, 0, 1, 1, 1, 1, 0, 4, 4, 0, 2, 4, 0, 2, 1, 0, 0, 1, 4, 4, 4, 1, 4, 3, 2, 0, 2, 2, 4, 0, 0, 0, 1, 2, 0, 4, 1, 4, 4, 4, 0, 3, 2, 3, 2, 3, 2, 2, 4, 1, 1, 1, 2, 3, 2, 0, 2, 0]
pubkeycol1142 = [4, 1, 4, 1, 4, 1, 3, 4, 2, 1, 4, 3, 0, 0, 2, 3, 2, 4, 2, 3, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 3, 0, 3, 4, 4, 4, 3, 3, 0, 1, 4, 3, 1, 2, 4, 3, 3, 3, 3, 2, 0, 2, 1, 3, 4, 0, 2, 2, 2, 2, 1, 1, 3, 4, 0, 4, 4, 2, 3, 0, 1, 4, 0, 0, 4, 2, 4, 1, 2, 0, 1, 3, 1, 0, 2, 2, 0, 1, 4, 0, 4, 2, 3, 4, 0, 1, 1, 4, 2, 1, 4, 0, 1, 4, 3, 3, 4, 2, 2, 0, 0, 4, 3, 0, 2, 0, 2, 1, 4, 1, 0, 4, 2, 3, 1, 4, 0, 3, 3, 3, 0, 0, 2, 3, 2, 2, 1, 0, 3, 3, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 3, 3, 0, 1, 3, 0, 2, 0, 3, 3, 2, 4, 2, 0, 4, 2, 3, 3, 1, 4, 1, 0, 2, 3, 0, 3, 0, 1, 3, 1, 0, 2, 1, 2, 1, 1, 3, 4, 0, 2, 0, 2, 4, 2, 2, 1, 3, 0, 2, 4, 0, 1, 1, 0, 4, 3, 4, 3, 3, 0, 4, 2, 0, 0, 3, 3, 1, 2, 2, 3, 3, 1, 4, 0, 3, 4, 0, 1, 4, 2, 4, 3, 3, 4, 2, 1, 2, 2, 0, 0, 1, 2, 0, 4, 4, 4, 4, 0, 4, 0, 0, 3, 1, 4, 4, 4, 4, 4, 2, 3, 1, 2, 0, 0, 3, 3, 3, 0, 4, 1, 1, 2, 0, 2, 1, 0, 4, 0, 1, 1, 1, 2, 4, 1, 3, 3, 1, 1, 2, 3, 1, 3, 2, 0, 1, 3, 2, 1, 0, 1, 4, 2, 0, 4, 4, 4, 2, 4, 4, 4, 0, 1, 4, 4, 4, 2, 1, 4, 1, 3, 1, 3, 1, 3, 4, 0, 0, 2, 4, 2, 1, 3, 0, 2, 1, 0, 0, 3, 0, 3, 2, 2, 4, 4, 0, 2, 4, 0, 1, 1, 1, 4, 4, 4, 0, 4, 0, 0, 4, 1, 1, 1, 3, 3, 1, 3, 4, 4, 0, 3, 1, 4, 2, 4, 1, 4, 0, 3, 1, 2, 0, 0, 2, 0, 0, 3, 1, 0, 2, 3, 4, 0, 4, 0, 4, 3, 2, 1, 0, 4, 1, 2, 0, 4, 3, 1, 3, 2, 2, 3, 4, 0, 2, 2, 4, 2, 0, 0, 2, 0, 2, 4, 1, 3, 1, 4, 0, 0, 3, 2, 1, 3, 0, 0, 0, 2, 3, 3, 2, 0, 3, 2, 4, 2, 2, 4, 2, 2, 4, 4, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 4, 0, 2, 2, 3, 4, 0, 2, 4, 3, 2, 4, 4, 3, 4, 0, 4, 4, 0, 2, 0, 2, 4, 1, 3, 0, 2, 0, 1, 4, 0, 3, 3, 0, 1, 1, 4, 3, 4, 1, 2, 3, 2, 2, 3]
pubkeycol1143 = [2, 0, 2, 0, 1, 1, 3, 4, 2, 3, 4, 4, 4, 3, 3, 0, 2, 4, 0, 1, 2, 3, 1, 4, 0, 3, 2, 4, 3, 1, 2, 0, 3, 4, 4, 2, 2, 1, 3, 1, 4, 0, 2, 1, 2, 1, 4, 1, 0, 2, 2, 1, 2, 0, 3, 0, 0, 4, 2, 2, 4, 4, 0, 4, 0, 0, 3, 3, 4, 2, 2, 1, 1, 3, 1, 3, 1, 2, 1, 4, 1, 0, 3, 1, 4, 2, 0, 1, 2, 3, 3, 1, 3, 0, 4, 2, 4, 1, 3, 2, 0, 0, 4, 1, 1, 2, 3, 1, 4, 4, 1, 0, 4, 1, 4, 3, 1, 1, 0, 4, 4, 2, 2, 2, 2, 4, 1, 4, 1, 3, 4, 3, 2, 3, 0, 3, 1, 2, 4, 1, 2, 4, 2, 2, 2, 2, 2, 3, 2, 3, 1, 4, 3, 2, 3, 4, 0, 4, 0, 3, 1, 1, 4, 1, 2, 1, 2, 3, 4, 3, 4, 1, 1, 0, 2, 3, 2, 0, 2, 4, 3, 0, 3, 1, 3, 4, 0, 2, 0, 4, 2, 2, 4, 1, 1, 4, 3, 3, 1, 0, 1, 3, 4, 0, 4, 3, 3, 2, 0, 2, 1, 1, 1, 2, 3, 3, 1, 2, 2, 3, 1, 1, 0, 0, 0, 4, 2, 0, 4, 3, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 3, 1, 0, 0, 1, 0, 4, 3, 2, 3, 3, 3, 0, 3, 0, 4, 0, 1, 2, 0, 3, 3, 0, 2, 1, 4, 0, 4, 4, 2, 4, 3, 0, 2, 3, 2, 0, 3, 2, 2, 2, 3, 3, 4, 1, 3, 4, 4, 4, 2, 0, 1, 1, 2, 0, 2, 3, 4, 2, 4, 4, 0, 2, 1, 2, 4, 2, 2, 4, 4, 3, 2, 1, 3, 2, 4, 3, 3, 4, 1, 2, 2, 3, 4, 0, 0, 4, 3, 0, 1, 0, 4, 0, 1, 3, 2, 1, 2, 1, 3, 4, 1, 4, 3, 4, 4, 1, 4, 3, 0, 0, 1, 1, 4, 0, 0, 3, 4, 0, 0, 1, 0, 1, 1, 3, 1, 1, 3, 4, 2, 3, 3, 1, 1, 4, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 1, 2, 2, 0, 2, 4, 2, 1, 2, 0, 2, 2, 2, 2, 2, 4, 4, 1, 0, 2, 4, 1, 4, 4, 3, 4, 2, 0, 3, 4, 1, 2, 1, 0, 0, 1, 3, 0, 4, 0, 0, 3, 2, 3, 3, 4, 4, 4, 1, 1, 0, 2, 3, 4, 2, 2, 2, 0, 3, 2, 0, 4, 1, 2, 2, 4, 1, 2, 3, 0, 4, 2, 2, 3, 4, 3, 3, 4, 3, 0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 4, 4, 2, 3, 0, 1, 2, 2, 1, 3, 1, 0, 1, 2, 1, 3, 1, 4, 2, 2, 4, 1, 4, 2, 0, 4, 3, 0, 4, 3]
pubkeycol1144 = [3, 1, 4, 4, 1, 4, 2, 1, 0, 4, 4, 2, 4, 3, 0, 3, 0, 0, 1, 1, 4, 4, 0, 1, 0, 4, 1, 2, 4, 4, 0, 0, 3, 0, 4, 0, 1, 1, 4, 0, 3, 2, 1, 4, 3, 3, 0, 2, 3, 3, 0, 0, 4, 3, 4, 2, 0, 1, 3, 2, 0, 3, 2, 0, 1, 2, 0, 3, 3, 1, 0, 2, 2, 2, 1, 0, 0, 3, 0, 0, 4, 4, 2, 2, 3, 4, 2, 3, 1, 3, 4, 0, 1, 0, 0, 3, 1, 1, 0, 1, 0, 2, 0, 3, 0, 3, 3, 2, 0, 0, 2, 4, 1, 3, 2, 4, 1, 0, 4, 2, 4, 4, 4, 4, 0, 1, 2, 2, 0, 0, 4, 2, 1, 0, 4, 0, 4, 2, 0, 3, 2, 3, 3, 4, 0, 4, 2, 3, 4, 3, 0, 2, 1, 4, 1, 3, 3, 3, 0, 3, 0, 4, 3, 0, 3, 2, 4, 1, 3, 4, 0, 1, 2, 0, 3, 2, 2, 4, 1, 1, 4, 1, 0, 3, 2, 0, 2, 3, 1, 4, 0, 3, 0, 0, 3, 0, 4, 1, 0, 0, 3, 0, 2, 4, 1, 1, 0, 1, 4, 0, 1, 1, 1, 2, 0, 3, 3, 3, 2, 1, 1, 2, 0, 3, 4, 4, 3, 4, 4, 2, 2, 1, 2, 0, 2, 2, 2, 2, 4, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 3, 1, 3, 3, 3, 0, 3, 1, 4, 0, 0, 0, 2, 2, 2, 1, 1, 2, 4, 3, 3, 2, 4, 0, 0, 0, 1, 1, 2, 0, 4, 2, 4, 4, 2, 0, 2, 3, 2, 2, 3, 0, 0, 4, 4, 3, 3, 2, 0, 3, 2, 1, 3, 3, 1, 0, 3, 3, 2, 1, 2, 3, 2, 1, 3, 3, 0, 4, 0, 2, 3, 0, 2, 0, 1, 1, 2, 4, 4, 1, 0, 4, 1, 0, 2, 0, 4, 0, 0, 1, 2, 2, 1, 0, 3, 0, 1, 2, 4, 3, 0, 4, 2, 2, 0, 2, 0, 0, 3, 1, 3, 4, 4, 0, 3, 1, 0, 2, 3, 1, 1, 2, 2, 1, 4, 3, 2, 1, 4, 4, 4, 1, 0, 2, 1, 0, 0, 3, 1, 2, 2, 2, 0, 3, 3, 0, 4, 2, 0, 2, 0, 4, 0, 2, 1, 1, 0, 2, 4, 0, 4, 4, 1, 0, 1, 2, 2, 3, 4, 1, 1, 0, 2, 3, 4, 1, 2, 1, 2, 1, 2, 0, 4, 4, 2, 0, 1, 2, 4, 2, 1, 3, 3, 1, 0, 0, 0, 0, 4, 0, 4, 3, 3, 4, 4, 3, 4, 3, 3, 0, 1, 2, 0, 1, 0, 1, 4, 4, 0, 4, 2, 0, 4, 4, 2, 2, 3, 4, 1, 1, 4, 0, 4, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 0, 4, 1, 0]
pubkeycol1145 = [3, 3, 0, 4, 2, 1, 2, 3, 4, 4, 4, 1, 2, 1, 3, 4, 2, 3, 0, 1, 3, 1, 2, 0, 4, 2, 1, 3, 0, 2, 1, 3, 2, 4, 4, 1, 1, 0, 1, 3, 2, 4, 4, 1, 1, 0, 1, 0, 4, 2, 2, 0, 3, 2, 1, 2, 0, 0, 3, 3, 4, 2, 1, 1, 0, 1, 0, 4, 2, 3, 0, 0, 4, 4, 4, 4, 3, 3, 3, 4, 3, 2, 4, 3, 3, 1, 2, 3, 4, 4, 0, 3, 2, 2, 1, 0, 3, 2, 1, 2, 4, 4, 0, 4, 1, 3, 1, 2, 4, 2, 3, 3, 4, 0, 4, 1, 4, 3, 1, 3, 2, 1, 3, 2, 4, 4, 4, 3, 2, 4, 4, 4, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 3, 0, 1, 1, 2, 2, 3, 4, 0, 3, 0, 3, 0, 3, 3, 0, 0, 1, 3, 3, 0, 2, 1, 0, 2, 0, 0, 3, 1, 2, 4, 0, 4, 2, 2, 3, 2, 2, 2, 0, 1, 1, 4, 1, 2, 3, 2, 3, 0, 4, 4, 4, 3, 1, 1, 2, 4, 4, 1, 0, 3, 3, 1, 2, 1, 1, 2, 4, 1, 2, 2, 1, 1, 2, 4, 3, 2, 4, 1, 3, 2, 4, 0, 0, 3, 3, 3, 0, 1, 0, 1, 0, 3, 2, 3, 0, 2, 3, 3, 4, 1, 4, 3, 0, 2, 1, 0, 0, 0, 2, 2, 4, 4, 1, 4, 1, 3, 1, 0, 1, 4, 2, 4, 4, 0, 4, 4, 4, 2, 2, 3, 0, 4, 4, 2, 3, 3, 4, 4, 0, 2, 1, 4, 1, 1, 2, 0, 2, 2, 0, 0, 3, 1, 0, 1, 2, 2, 4, 4, 0, 3, 4, 4, 2, 3, 1, 4, 4, 1, 4, 1, 0, 4, 0, 1, 2, 2, 4, 1, 3, 1, 4, 4, 1, 1, 2, 4, 3, 0, 4, 1, 3, 4, 0, 2, 4, 4, 2, 3, 1, 3, 0, 0, 3, 0, 0, 1, 2, 4, 2, 4, 1, 2, 3, 2, 4, 4, 1, 4, 1, 3, 2, 4, 2, 1, 2, 1, 4, 1, 0, 0, 4, 4, 4, 4, 4, 1, 3, 2, 0, 3, 1, 3, 2, 1, 0, 0, 1, 4, 2, 1, 1, 4, 2, 4, 3, 3, 3, 0, 3, 0, 2, 1, 2, 0, 3, 1, 0, 4, 3, 0, 2, 2, 0, 4, 0, 1, 1, 1, 2, 2, 4, 2, 3, 2, 3, 4, 1, 2, 3, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 3, 2, 2, 3, 3, 0, 3, 3, 0, 0, 2, 3, 1, 4, 2, 0, 3, 4, 3, 1, 4, 4, 0, 0, 1, 2, 4, 3, 4, 2, 1, 1, 3, 1, 3, 3, 0, 1, 4, 4, 4, 0, 4, 1, 0, 3, 3, 4, 4, 2, 4, 4, 2, 2, 1, 1]
pubkeycol1146 = [2, 4, 0, 2, 1, 4, 4, 4, 4, 1, 0, 3, 2, 0, 2, 0, 1, 3, 2, 3, 2, 0, 2, 2, 0, 2, 4, 2, 0, 0, 4, 1, 1, 0, 4, 1, 4, 0, 4, 1, 0, 1, 1, 1, 3, 2, 2, 2, 3, 4, 3, 4, 2, 3, 0, 2, 0, 1, 3, 3, 3, 3, 1, 0, 1, 1, 1, 1, 4, 4, 4, 3, 3, 4, 1, 1, 0, 3, 0, 4, 3, 4, 3, 2, 3, 2, 0, 2, 2, 1, 3, 4, 0, 4, 4, 2, 0, 4, 4, 2, 3, 3, 2, 2, 1, 1, 4, 3, 1, 3, 4, 4, 4, 0, 2, 3, 2, 2, 2, 1, 2, 1, 0, 4, 1, 3, 4, 0, 1, 4, 2, 1, 1, 4, 3, 3, 4, 1, 0, 4, 2, 4, 4, 2, 0, 3, 1, 4, 1, 1, 2, 1, 4, 2, 2, 3, 2, 2, 4, 4, 2, 0, 1, 1, 0, 0, 3, 4, 2, 3, 2, 4, 3, 0, 0, 3, 0, 2, 3, 4, 4, 4, 4, 1, 0, 2, 1, 3, 3, 3, 4, 2, 1, 2, 4, 4, 0, 4, 3, 3, 2, 1, 4, 1, 4, 4, 3, 2, 2, 1, 3, 0, 4, 0, 2, 4, 2, 1, 1, 4, 4, 0, 1, 1, 2, 0, 3, 3, 4, 1, 0, 1, 2, 4, 2, 2, 4, 1, 4, 1, 4, 4, 2, 4, 0, 4, 2, 1, 2, 0, 1, 1, 4, 0, 3, 1, 0, 1, 3, 2, 2, 0, 0, 2, 4, 1, 2, 4, 4, 3, 2, 1, 1, 0, 4, 1, 3, 2, 1, 1, 3, 3, 3, 4, 4, 1, 3, 0, 4, 1, 2, 3, 3, 2, 2, 2, 1, 3, 0, 0, 2, 1, 3, 2, 4, 4, 0, 4, 3, 0, 3, 0, 0, 0, 3, 1, 4, 1, 2, 1, 0, 3, 1, 4, 0, 1, 3, 2, 4, 2, 1, 0, 4, 1, 4, 1, 2, 3, 2, 0, 0, 0, 0, 4, 3, 2, 1, 4, 2, 4, 3, 3, 4, 4, 3, 1, 2, 2, 2, 4, 0, 1, 3, 4, 4, 4, 0, 2, 4, 3, 4, 3, 1, 4, 2, 1, 4, 4, 3, 4, 2, 3, 0, 2, 1, 4, 1, 2, 3, 4, 0, 2, 2, 0, 0, 4, 3, 0, 4, 2, 0, 4, 2, 4, 1, 3, 2, 3, 2, 4, 1, 1, 3, 0, 1, 3, 3, 2, 3, 4, 2, 4, 3, 0, 0, 4, 0, 3, 4, 3, 0, 4, 2, 4, 3, 1, 0, 4, 2, 3, 1, 3, 4, 1, 4, 1, 3, 1, 3, 2, 3, 0, 3, 2, 0, 4, 2, 1, 1, 0, 0, 4, 4, 4, 4, 3, 2, 4, 0, 2, 1, 0, 0, 4, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 4, 4, 3, 2, 0, 0, 0, 4, 3, 3, 1, 4, 2, 1, 1, 0, 0, 0, 1, 4, 0]
pubkeycol1147 = [3, 2, 3, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 4, 0, 0, 1, 4, 3, 1, 2, 0, 2, 3, 1, 4, 0, 1, 4, 3, 4, 2, 2, 3, 1, 2, 0, 1, 1, 2, 3, 2, 4, 4, 4, 0, 4, 1, 4, 1, 2, 3, 2, 2, 4, 4, 1, 2, 0, 4, 3, 1, 3, 1, 1, 3, 4, 1, 1, 3, 0, 1, 0, 2, 4, 2, 2, 3, 1, 1, 3, 4, 2, 3, 4, 4, 1, 1, 0, 3, 1, 3, 0, 0, 2, 2, 4, 1, 4, 0, 3, 1, 2, 4, 4, 0, 4, 3, 4, 1, 0, 3, 3, 4, 4, 4, 0, 4, 2, 4, 3, 0, 4, 2, 3, 3, 0, 2, 3, 2, 0, 2, 2, 2, 4, 0, 1, 0, 4, 3, 2, 3, 1, 1, 2, 4, 4, 4, 4, 0, 1, 4, 0, 0, 1, 0, 1, 2, 4, 3, 1, 1, 0, 0, 3, 3, 1, 3, 0, 4, 0, 2, 1, 4, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 3, 0, 0, 3, 1, 2, 1, 3, 2, 4, 3, 1, 1, 3, 4, 2, 0, 0, 2, 2, 1, 4, 0, 2, 0, 2, 0, 0, 0, 4, 1, 4, 4, 4, 4, 2, 1, 1, 4, 0, 1, 0, 0, 1, 3, 0, 4, 0, 2, 3, 4, 4, 3, 3, 4, 2, 0, 4, 3, 1, 1, 0, 1, 4, 4, 2, 0, 1, 1, 4, 0, 1, 4, 4, 0, 2, 2, 0, 3, 1, 3, 2, 2, 4, 2, 2, 0, 1, 3, 3, 2, 1, 0, 3, 0, 3, 3, 4, 0, 1, 2, 0, 4, 2, 1, 3, 4, 4, 3, 4, 1, 2, 3, 1, 1, 3, 4, 1, 0, 3, 0, 2, 4, 2, 4, 0, 3, 2, 4, 4, 0, 2, 1, 0, 4, 0, 2, 2, 4, 2, 3, 0, 0, 1, 4, 3, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 4, 4, 2, 3, 2, 1, 4, 3, 3, 2, 1, 3, 1, 4, 4, 0, 1, 0, 2, 2, 4, 4, 3, 4, 1, 2, 3, 2, 1, 0, 1, 2, 3, 2, 0, 4, 0, 1, 2, 4, 3, 3, 2, 1, 1, 0, 3, 3, 4, 3, 2, 3, 1, 2, 4, 4, 2, 2, 1, 3, 0, 1, 3, 2, 3, 1, 4, 1, 3, 2, 4, 4, 3, 3, 1, 0, 4, 0, 4, 2, 0, 4, 3, 0, 3, 1, 1, 4, 0, 0, 1, 1, 2, 4, 4, 3, 0, 4, 4, 2, 3, 2, 0, 3, 0, 0, 2, 4, 1, 4, 2, 4, 0, 1, 2, 4, 0, 0, 2, 0, 0, 0, 2, 3, 1, 1, 3, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 3, 2, 0, 2, 1, 4, 4, 4, 1, 1, 2, 0, 3, 2, 1, 1, 0, 0, 4, 4, 3, 2, 4, 2, 2]
pubkeycol1148 = [1, 4, 0, 3, 2, 2, 3, 1, 0, 4, 3, 0, 0, 0, 2, 3, 1, 4, 4, 4, 0, 1, 0, 3, 2, 2, 4, 4, 1, 2, 0, 2, 4, 0, 2, 0, 3, 0, 3, 1, 4, 2, 0, 4, 1, 4, 3, 4, 3, 3, 4, 1, 0, 1, 3, 4, 1, 4, 1, 4, 0, 2, 0, 0, 2, 0, 3, 3, 2, 3, 1, 2, 2, 4, 3, 1, 1, 3, 0, 4, 0, 1, 3, 3, 1, 1, 3, 4, 3, 3, 2, 1, 4, 2, 3, 4, 0, 4, 0, 2, 2, 3, 2, 3, 1, 4, 1, 4, 1, 1, 0, 3, 4, 3, 2, 3, 2, 4, 1, 0, 3, 0, 3, 2, 4, 4, 1, 0, 3, 2, 0, 4, 2, 0, 0, 2, 2, 0, 1, 4, 0, 4, 2, 4, 4, 1, 3, 0, 4, 4, 1, 2, 3, 4, 3, 2, 4, 1, 4, 2, 1, 0, 1, 3, 1, 3, 2, 1, 3, 3, 3, 1, 4, 2, 1, 2, 1, 4, 4, 2, 2, 2, 3, 2, 0, 2, 3, 0, 0, 0, 1, 3, 1, 2, 1, 4, 0, 2, 4, 3, 0, 2, 2, 0, 4, 1, 3, 0, 2, 3, 1, 1, 3, 4, 4, 3, 1, 0, 2, 3, 4, 2, 1, 0, 0, 2, 2, 4, 2, 4, 1, 4, 2, 4, 3, 3, 3, 2, 0, 0, 1, 2, 3, 3, 1, 1, 0, 4, 2, 1, 0, 3, 0, 0, 0, 0, 4, 2, 3, 3, 2, 4, 3, 2, 2, 2, 2, 3, 3, 1, 4, 1, 3, 1, 4, 1, 2, 0, 1, 4, 1, 3, 0, 4, 1, 1, 2, 0, 4, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 2, 1, 3, 4, 2, 0, 2, 4, 3, 0, 1, 1, 1, 1, 4, 0, 4, 1, 0, 4, 0, 3, 3, 0, 1, 3, 4, 3, 2, 4, 0, 0, 1, 2, 3, 4, 2, 3, 4, 2, 4, 4, 1, 3, 4, 1, 3, 1, 1, 3, 3, 4, 3, 2, 4, 1, 4, 0, 1, 3, 2, 4, 3, 2, 2, 0, 4, 2, 2, 2, 2, 2, 2, 4, 4, 1, 4, 4, 1, 0, 1, 4, 4, 0, 4, 1, 3, 0, 0, 2, 0, 3, 4, 1, 4, 3, 4, 4, 1, 2, 2, 4, 2, 4, 1, 4, 3, 0, 4, 2, 3, 1, 3, 0, 4, 2, 2, 0, 3, 3, 2, 2, 1, 0, 2, 3, 0, 3, 4, 1, 3, 2, 1, 0, 1, 1, 1, 1, 3, 2, 4, 3, 4, 0, 1, 4, 1, 1, 1, 2, 3, 0, 2, 2, 4, 1, 3, 3, 3, 3, 0, 4, 2, 0, 0, 3, 4, 2, 2, 2, 1, 4, 0, 3, 1, 2, 1, 3, 3, 4, 1, 2, 2, 2, 2, 1, 1, 4, 3, 0, 2, 4, 4, 2, 2, 0, 2, 3, 2, 4, 1, 0, 1, 0, 4, 4]
pubkeycol1149 = [2, 4, 3, 3, 0, 2, 2, 1, 4, 2, 1, 0, 0, 0, 0, 2, 2, 0, 4, 4, 4, 4, 2, 4, 1, 0, 0, 4, 1, 3, 0, 3, 1, 4, 1, 2, 3, 1, 2, 1, 3, 1, 2, 3, 3, 2, 2, 3, 2, 2, 3, 2, 2, 1, 2, 3, 2, 0, 2, 4, 0, 2, 3, 3, 4, 4, 3, 1, 1, 0, 4, 4, 1, 4, 4, 3, 0, 3, 3, 4, 2, 4, 2, 1, 3, 1, 4, 3, 2, 4, 4, 2, 0, 4, 0, 4, 2, 0, 0, 2, 4, 0, 2, 4, 2, 3, 1, 0, 2, 4, 0, 3, 0, 3, 2, 3, 2, 2, 2, 1, 3, 2, 1, 3, 1, 4, 3, 2, 3, 3, 3, 1, 0, 1, 2, 0, 4, 2, 3, 3, 3, 4, 4, 3, 0, 3, 2, 4, 0, 0, 3, 4, 1, 4, 3, 0, 2, 3, 4, 3, 1, 2, 4, 4, 3, 4, 3, 1, 3, 3, 2, 1, 0, 0, 2, 4, 1, 0, 0, 3, 4, 2, 2, 0, 4, 3, 1, 3, 3, 3, 3, 1, 0, 1, 4, 4, 3, 1, 4, 4, 1, 3, 2, 3, 2, 2, 4, 4, 3, 0, 4, 4, 2, 2, 2, 2, 4, 1, 3, 0, 0, 2, 4, 0, 3, 1, 3, 4, 2, 3, 3, 3, 0, 1, 1, 4, 0, 3, 0, 0, 2, 3, 2, 1, 4, 3, 2, 2, 1, 3, 3, 2, 2, 4, 4, 1, 1, 4, 3, 1, 2, 2, 1, 0, 4, 4, 0, 2, 4, 0, 0, 0, 0, 0, 0, 1, 4, 4, 3, 3, 2, 4, 4, 3, 4, 3, 4, 1, 4, 3, 3, 2, 4, 0, 2, 3, 2, 0, 3, 4, 2, 3, 2, 1, 3, 1, 0, 0, 3, 2, 3, 3, 1, 4, 0, 1, 1, 4, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 3, 2, 4, 4, 3, 3, 2, 3, 3, 0, 2, 4, 1, 0, 1, 1, 4, 2, 3, 3, 4, 0, 4, 0, 0, 3, 3, 3, 2, 1, 3, 0, 3, 4, 0, 1, 4, 1, 1, 2, 2, 3, 0, 0, 3, 4, 3, 0, 0, 1, 1, 4, 1, 4, 2, 2, 1, 3, 1, 3, 0, 4, 0, 1, 0, 3, 3, 4, 1, 3, 1, 1, 0, 4, 1, 1, 0, 3, 0, 0, 1, 1, 1, 0, 3, 3, 2, 2, 3, 2, 4, 4, 4, 4, 0, 4, 4, 0, 1, 1, 4, 3, 0, 2, 4, 0, 1, 4, 2, 4, 3, 0, 1, 2, 2, 0, 4, 4, 3, 2, 3, 1, 0, 1, 2, 3, 2, 1, 4, 0, 3, 0, 3, 4, 2, 2, 3, 0, 2, 1, 0, 3, 2, 3, 0, 0, 0, 2, 1, 1, 2, 0, 0, 4, 3, 2, 2, 1, 0, 0, 4, 3, 4, 1, 3, 4, 0, 2, 2, 0, 0, 2]
pubkeycol1150 = [0, 2, 0, 4, 1, 2, 0, 3, 2, 3, 1, 3, 0, 4, 0, 1, 0, 1, 4, 0, 1, 4, 0, 3, 3, 0, 3, 3, 1, 2, 3, 4, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 3, 0, 2, 2, 2, 0, 1, 4, 1, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 4, 0, 1, 4, 1, 0, 3, 0, 3, 3, 0, 0, 1, 3, 0, 3, 1, 1, 2, 1, 4, 4, 3, 3, 0, 2, 0, 0, 3, 1, 3, 2, 3, 3, 2, 1, 2, 2, 4, 0, 3, 1, 2, 1, 0, 2, 2, 1, 2, 4, 3, 4, 2, 3, 0, 2, 3, 3, 1, 4, 2, 4, 3, 1, 4, 1, 3, 1, 1, 2, 1, 4, 0, 4, 2, 0, 4, 4, 0, 3, 3, 4, 0, 3, 4, 0, 0, 0, 2, 3, 2, 0, 2, 1, 0, 1, 4, 3, 3, 0, 2, 3, 2, 4, 0, 4, 1, 0, 1, 4, 2, 3, 1, 1, 2, 4, 0, 4, 0, 2, 0, 3, 2, 0, 3, 0, 1, 0, 2, 0, 3, 1, 3, 3, 2, 0, 2, 0, 1, 0, 4, 1, 3, 4, 2, 0, 1, 1, 3, 0, 2, 3, 2, 4, 0, 4, 4, 2, 0, 4, 4, 1, 1, 2, 0, 2, 0, 3, 2, 3, 0, 4, 0, 2, 2, 0, 1, 3, 4, 1, 2, 4, 1, 1, 3, 0, 2, 1, 4, 0, 2, 0, 3, 1, 2, 0, 0, 2, 4, 2, 0, 4, 4, 1, 1, 1, 3, 1, 3, 2, 0, 2, 0, 0, 0, 0, 4, 3, 3, 3, 4, 2, 3, 4, 4, 0, 4, 1, 2, 3, 3, 4, 1, 1, 1, 2, 4, 4, 1, 2, 0, 0, 1, 4, 4, 0, 4, 2, 3, 2, 4, 0, 0, 1, 0, 3, 4, 3, 2, 1, 0, 1, 4, 3, 0, 0, 4, 1, 4, 3, 4, 4, 3, 3, 4, 3, 1, 1, 3, 0, 1, 2, 2, 1, 3, 2, 4, 2, 2, 4, 1, 1, 4, 3, 0, 4, 3, 0, 1, 2, 1, 3, 1, 3, 3, 4, 0, 2, 0, 2, 3, 3, 0, 3, 3, 1, 1, 1, 1, 4, 0, 2, 0, 1, 3, 0, 4, 3, 4, 2, 2, 0, 3, 2, 2, 1, 3, 0, 1, 0, 0, 0, 1, 1, 1, 3, 0, 4, 3, 4, 2, 0, 2, 2, 0, 1, 3, 3, 2, 3, 4, 3, 1, 3, 3, 3, 4, 0, 2, 1, 3, 3, 1, 4, 1, 1, 1, 0, 1, 2, 4, 0, 2, 4, 4, 3, 3, 0, 4, 3, 0, 4, 1, 4, 1, 4, 2, 4, 3, 1, 1, 3, 2, 3, 0, 0, 1, 3, 1, 2, 4, 4, 1, 4, 2, 3, 3, 0, 4, 1, 1, 4, 3, 0, 1, 0, 1, 4, 2, 4, 0, 4, 4, 2, 3, 2, 3, 3, 0, 4, 4, 2]
pubkeycol1151 = [2, 3, 2, 0, 2, 4, 0, 0, 2, 2, 2, 0, 1, 3, 2, 2, 1, 4, 3, 4, 0, 4, 1, 4, 2, 3, 4, 3, 3, 1, 0, 2, 4, 1, 1, 4, 4, 2, 3, 0, 4, 4, 2, 0, 0, 0, 3, 4, 4, 4, 0, 2, 2, 3, 4, 4, 3, 4, 0, 2, 2, 2, 2, 4, 4, 0, 0, 4, 1, 2, 3, 0, 0, 4, 4, 2, 1, 2, 4, 3, 0, 3, 1, 2, 1, 1, 0, 3, 1, 3, 0, 4, 3, 2, 1, 4, 0, 4, 3, 2, 3, 2, 0, 0, 3, 2, 0, 4, 2, 0, 2, 3, 2, 3, 0, 1, 0, 3, 0, 0, 4, 1, 0, 4, 3, 3, 3, 0, 0, 3, 3, 1, 0, 3, 2, 3, 1, 0, 1, 3, 3, 1, 4, 4, 2, 1, 0, 4, 4, 2, 0, 3, 2, 3, 3, 1, 2, 3, 2, 2, 1, 3, 1, 2, 3, 3, 0, 1, 2, 3, 1, 0, 4, 4, 2, 2, 3, 4, 0, 4, 4, 0, 4, 0, 2, 0, 2, 0, 3, 1, 2, 0, 2, 1, 2, 0, 1, 4, 0, 4, 1, 2, 0, 3, 0, 4, 0, 2, 0, 0, 2, 4, 1, 4, 3, 4, 1, 4, 2, 4, 1, 4, 2, 4, 1, 1, 2, 3, 4, 4, 0, 2, 1, 2, 4, 1, 3, 4, 0, 0, 4, 0, 2, 3, 1, 2, 3, 4, 1, 0, 3, 3, 0, 3, 4, 3, 2, 0, 2, 1, 0, 4, 2, 4, 2, 3, 2, 3, 3, 3, 2, 3, 1, 1, 1, 2, 4, 2, 3, 2, 1, 0, 1, 1, 0, 3, 0, 0, 2, 0, 0, 4, 4, 2, 4, 4, 2, 1, 0, 3, 4, 4, 4, 4, 4, 3, 4, 0, 3, 2, 4, 0, 3, 0, 0, 3, 1, 2, 4, 0, 2, 4, 4, 1, 3, 2, 1, 1, 4, 0, 3, 1, 0, 3, 4, 1, 4, 4, 3, 1, 4, 3, 2, 0, 0, 1, 4, 0, 4, 2, 4, 0, 4, 1, 2, 3, 2, 2, 1, 4, 4, 0, 1, 0, 2, 3, 4, 1, 1, 1, 1, 2, 3, 4, 2, 1, 2, 3, 1, 4, 2, 3, 4, 1, 0, 0, 4, 2, 0, 0, 3, 4, 4, 1, 3, 0, 3, 3, 4, 0, 1, 3, 1, 3, 1, 3, 4, 1, 3, 4, 1, 2, 1, 1, 3, 1, 2, 0, 2, 3, 4, 2, 2, 4, 0, 4, 1, 4, 4, 2, 0, 3, 1, 1, 1, 4, 1, 0, 1, 0, 4, 0, 1, 3, 0, 3, 3, 3, 4, 2, 2, 0, 4, 3, 4, 4, 1, 2, 1, 3, 3, 0, 2, 4, 1, 0, 1, 2, 4, 3, 4, 3, 4, 2, 2, 2, 0, 2, 3, 3, 2, 2, 1, 0, 3, 4, 0, 2, 0, 2, 3, 1, 2, 1, 4, 3, 1, 1, 1, 3, 2, 2, 1, 3, 2]
pubkeycol1152 = [0, 3, 0, 3, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 3, 2, 0, 3, 3, 0, 3, 1, 3, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 1, 3, 0, 1, 1, 2, 4, 3, 2, 4, 2, 4, 1, 2, 0, 3, 3, 0, 4, 4, 2, 3, 2, 2, 3, 4, 1, 1, 3, 1, 2, 1, 2, 0, 4, 4, 0, 1, 1, 4, 3, 3, 3, 1, 2, 2, 4, 1, 0, 1, 1, 4, 4, 0, 1, 4, 0, 1, 1, 3, 2, 0, 2, 3, 3, 4, 1, 4, 2, 0, 1, 2, 2, 1, 3, 0, 0, 4, 0, 0, 0, 2, 0, 1, 3, 2, 1, 3, 0, 0, 3, 3, 2, 2, 3, 2, 4, 0, 1, 4, 3, 2, 0, 4, 0, 1, 3, 1, 2, 1, 3, 2, 0, 1, 0, 4, 1, 3, 2, 0, 0, 0, 0, 3, 0, 2, 4, 2, 3, 1, 1, 3, 0, 3, 3, 0, 0, 0, 1, 1, 3, 4, 4, 2, 1, 2, 0, 2, 0, 4, 4, 3, 2, 1, 1, 3, 3, 0, 0, 3, 1, 0, 3, 3, 0, 0, 1, 3, 1, 0, 3, 0, 1, 1, 1, 3, 2, 0, 1, 2, 0, 2, 4, 0, 0, 1, 2, 4, 1, 4, 1, 0, 0, 1, 4, 0, 3, 3, 4, 0, 4, 1, 1, 0, 4, 0, 1, 1, 1, 2, 3, 1, 4, 4, 3, 3, 2, 3, 3, 0, 3, 1, 3, 3, 3, 4, 4, 1, 1, 1, 2, 2, 3, 3, 2, 2, 4, 3, 1, 3, 4, 1, 3, 4, 0, 2, 0, 4, 1, 0, 4, 4, 3, 2, 2, 1, 0, 2, 3, 2, 3, 0, 1, 1, 3, 3, 4, 3, 2, 0, 3, 3, 3, 3, 3, 1, 1, 1, 4, 2, 2, 4, 1, 2, 1, 2, 4, 2, 3, 3, 2, 4, 1, 0, 3, 4, 0, 4, 2, 2, 1, 3, 0, 0, 0, 1, 2, 4, 4, 3, 0, 4, 3, 1, 4, 1, 1, 3, 0, 2, 2, 3, 3, 3, 4, 4, 0, 4, 2, 3, 4, 4, 3, 2, 2, 3, 0, 0, 2, 2, 3, 1, 1, 0, 2, 0, 3, 3, 0, 2, 1, 2, 2, 1, 1, 3, 1, 4, 1, 1, 4, 1, 4, 0, 2, 4, 1, 4, 1, 3, 4, 0, 4, 4, 0, 4, 4, 3, 1, 1, 3, 4, 2, 0, 1, 0, 0, 2, 2, 2, 3, 4, 3, 1, 3, 2, 1, 1, 2, 1, 0, 1, 2, 4, 2, 0, 4, 2, 4, 1, 0, 3, 3, 2, 1, 1, 3, 4, 3, 3, 0, 4, 3, 4, 1, 0, 2, 0, 0, 2, 1, 4, 0, 3, 1, 1, 2, 3, 1, 1, 4, 0, 4, 4, 4, 3, 3, 4, 1, 4, 2, 1, 2, 3, 4, 2, 3, 3, 2, 3, 1, 1, 2, 4, 3, 4, 0, 0, 1, 3, 0, 2]
pubkeycol1153 = [2, 1, 1, 1, 2, 1, 3, 0, 0, 0, 1, 4, 0, 1, 2, 0, 2, 1, 1, 4, 2, 2, 4, 4, 2, 4, 3, 1, 2, 1, 0, 2, 1, 4, 2, 4, 3, 3, 3, 2, 1, 3, 0, 3, 2, 1, 3, 4, 2, 1, 3, 1, 0, 2, 2, 2, 1, 4, 3, 4, 0, 3, 0, 2, 0, 2, 2, 4, 3, 2, 1, 3, 1, 1, 1, 3, 3, 4, 4, 1, 4, 1, 0, 1, 1, 0, 3, 0, 1, 1, 1, 0, 1, 0, 4, 0, 3, 1, 1, 1, 0, 1, 1, 1, 4, 3, 0, 2, 3, 1, 4, 2, 3, 1, 3, 0, 4, 2, 0, 4, 1, 0, 3, 1, 2, 3, 1, 3, 2, 3, 4, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 4, 2, 0, 2, 1, 0, 2, 3, 3, 1, 0, 2, 4, 2, 0, 2, 1, 1, 1, 0, 3, 2, 2, 1, 1, 4, 3, 0, 4, 3, 4, 1, 4, 2, 0, 3, 1, 0, 1, 2, 2, 4, 0, 4, 4, 3, 0, 4, 3, 1, 3, 1, 3, 4, 0, 3, 1, 1, 3, 4, 1, 3, 4, 3, 1, 0, 4, 2, 4, 1, 0, 3, 0, 2, 0, 1, 3, 4, 1, 2, 3, 4, 0, 4, 2, 3, 4, 4, 4, 0, 2, 4, 0, 0, 0, 1, 3, 2, 3, 0, 0, 4, 3, 0, 2, 3, 1, 4, 1, 2, 0, 4, 3, 4, 0, 3, 1, 4, 1, 1, 4, 0, 0, 2, 3, 1, 3, 3, 2, 4, 0, 1, 2, 3, 4, 4, 2, 4, 2, 1, 4, 4, 1, 3, 3, 2, 4, 1, 0, 1, 4, 2, 3, 2, 1, 3, 1, 1, 2, 4, 4, 2, 1, 0, 2, 3, 3, 2, 0, 4, 4, 3, 1, 4, 4, 2, 1, 2, 0, 1, 0, 2, 1, 4, 0, 4, 4, 0, 1, 4, 0, 1, 3, 4, 1, 0, 2, 3, 0, 3, 4, 1, 0, 3, 1, 0, 1, 2, 0, 3, 4, 4, 2, 1, 4, 3, 3, 2, 2, 3, 3, 2, 0, 1, 3, 1, 0, 0, 0, 4, 4, 4, 0, 3, 1, 4, 4, 4, 1, 1, 2, 0, 2, 3, 0, 1, 4, 4, 2, 0, 3, 2, 0, 1, 2, 0, 2, 2, 4, 3, 3, 1, 1, 1, 4, 1, 0, 2, 1, 1, 0, 2, 4, 4, 4, 3, 2, 1, 0, 4, 2, 3, 2, 4, 0, 0, 2, 3, 3, 2, 3, 3, 2, 2, 1, 2, 4, 1, 3, 3, 1, 0, 2, 1, 3, 0, 0, 2, 4, 2, 3, 4, 2, 2, 2, 1, 0, 0, 0, 2, 1, 4, 0, 0, 4, 1, 4, 3, 1, 4, 3, 3, 4, 3, 1, 4, 0, 2, 2, 2, 0, 3, 4, 3, 3, 3, 0, 2, 0, 1, 1, 2, 3, 1, 2, 2, 2, 1, 2, 3, 2, 0, 3]
pubkeycol1154 = [2, 1, 4, 2, 0, 1, 4, 0, 2, 3, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 3, 1, 0, 2, 2, 3, 3, 1, 0, 3, 1, 4, 2, 4, 1, 2, 4, 0, 1, 2, 2, 4, 4, 0, 3, 3, 3, 2, 2, 3, 1, 0, 3, 3, 2, 2, 3, 2, 0, 0, 3, 0, 4, 2, 1, 2, 0, 1, 3, 3, 3, 4, 4, 0, 0, 0, 1, 0, 2, 0, 1, 3, 2, 4, 2, 2, 2, 1, 0, 0, 3, 0, 4, 3, 4, 0, 4, 2, 2, 2, 3, 1, 0, 2, 4, 3, 2, 4, 3, 3, 0, 2, 4, 4, 1, 0, 0, 2, 1, 4, 4, 2, 2, 0, 2, 4, 2, 2, 2, 2, 4, 2, 0, 4, 3, 0, 3, 1, 3, 4, 2, 3, 1, 4, 4, 4, 1, 1, 0, 2, 1, 0, 3, 2, 3, 4, 0, 2, 0, 2, 3, 4, 1, 1, 2, 4, 4, 4, 1, 0, 4, 4, 4, 0, 3, 4, 3, 0, 2, 2, 3, 3, 1, 0, 0, 3, 1, 0, 0, 0, 2, 2, 1, 1, 4, 4, 0, 1, 1, 2, 3, 3, 2, 4, 2, 4, 3, 3, 1, 0, 2, 1, 1, 3, 4, 3, 2, 3, 0, 3, 3, 2, 4, 1, 1, 4, 1, 0, 0, 0, 1, 1, 2, 4, 2, 4, 4, 1, 4, 4, 1, 1, 1, 2, 3, 0, 1, 2, 4, 3, 2, 1, 3, 0, 0, 2, 1, 3, 3, 2, 1, 4, 3, 0, 4, 3, 3, 4, 1, 2, 0, 4, 1, 3, 3, 0, 1, 3, 1, 2, 4, 3, 1, 0, 0, 0, 4, 3, 3, 1, 3, 3, 0, 0, 3, 2, 1, 2, 1, 2, 0, 2, 2, 2, 3, 1, 4, 4, 3, 0, 3, 4, 0, 0, 1, 1, 2, 1, 0, 0, 1, 4, 0, 4, 1, 4, 0, 0, 1, 1, 4, 3, 0, 3, 1, 1, 2, 1, 3, 0, 4, 3, 4, 4, 0, 0, 0, 0, 3, 4, 2, 0, 4, 3, 1, 1, 2, 3, 4, 4, 0, 2, 2, 4, 0, 3, 2, 4, 3, 0, 2, 2, 2, 3, 1, 3, 0, 3, 2, 0, 1, 1, 1, 3, 3, 1, 4, 2, 4, 2, 3, 3, 4, 2, 0, 4, 0, 0, 1, 0, 4, 0, 1, 4, 3, 4, 4, 4, 1, 1, 3, 0, 2, 0, 2, 1, 0, 2, 1, 0, 3, 4, 0, 1, 1, 3, 2, 1, 4, 4, 2, 0, 0, 1, 0, 1, 1, 4, 2, 0, 2, 4, 2, 2, 0, 2, 4, 4, 2, 2, 2, 0, 3, 3, 3, 4, 4, 2, 2, 1, 1, 1, 3, 0, 1, 0, 0, 3, 4, 1, 4, 0, 2, 1, 1, 0, 0, 0, 4, 2, 0, 4, 3, 2, 1, 0, 4, 0, 0, 3, 3, 0, 2, 3, 1, 3, 3, 4, 2, 4, 0, 2, 2, 1]
pubkeycol1155 = [0, 3, 1, 2, 3, 4, 3, 4, 2, 3, 3, 0, 0, 1, 4, 4, 0, 1, 2, 4, 3, 3, 1, 1, 3, 0, 4, 1, 4, 2, 4, 0, 3, 3, 3, 1, 3, 3, 3, 0, 4, 0, 2, 1, 0, 3, 2, 3, 4, 1, 4, 0, 0, 3, 4, 2, 3, 0, 1, 3, 1, 2, 3, 3, 1, 1, 4, 3, 0, 1, 2, 4, 0, 0, 2, 4, 1, 2, 2, 1, 3, 1, 1, 2, 4, 2, 3, 1, 4, 2, 3, 3, 0, 1, 0, 4, 4, 3, 0, 3, 2, 1, 3, 4, 1, 3, 0, 4, 3, 0, 3, 2, 2, 0, 2, 1, 4, 2, 2, 4, 2, 2, 3, 3, 3, 1, 4, 4, 0, 2, 3, 4, 0, 4, 0, 3, 2, 4, 1, 3, 3, 2, 0, 4, 0, 3, 1, 0, 4, 0, 2, 2, 4, 1, 4, 2, 0, 1, 1, 2, 1, 4, 3, 2, 4, 1, 3, 1, 3, 4, 1, 0, 4, 2, 4, 2, 4, 4, 1, 4, 1, 3, 2, 4, 1, 2, 2, 2, 0, 3, 1, 2, 0, 4, 0, 4, 1, 3, 1, 4, 0, 1, 4, 4, 2, 1, 2, 2, 3, 4, 0, 4, 0, 0, 2, 4, 1, 2, 2, 4, 4, 3, 2, 1, 2, 2, 1, 4, 1, 1, 1, 3, 0, 0, 2, 3, 4, 1, 4, 3, 2, 2, 1, 2, 4, 3, 0, 4, 4, 4, 1, 0, 0, 2, 4, 0, 0, 1, 2, 4, 0, 4, 1, 0, 3, 1, 3, 4, 0, 1, 4, 0, 4, 1, 1, 4, 0, 4, 1, 4, 3, 0, 1, 4, 4, 0, 0, 0, 4, 0, 0, 2, 3, 1, 2, 3, 0, 1, 1, 0, 3, 0, 0, 2, 0, 1, 2, 3, 4, 0, 4, 1, 4, 0, 2, 1, 3, 1, 1, 4, 0, 2, 0, 3, 2, 1, 3, 4, 0, 2, 2, 3, 4, 0, 4, 4, 3, 0, 0, 3, 2, 2, 2, 1, 1, 4, 0, 3, 3, 4, 1, 2, 3, 0, 2, 0, 1, 1, 2, 2, 3, 2, 2, 0, 3, 3, 4, 3, 2, 0, 3, 2, 1, 1, 1, 2, 0, 3, 0, 0, 0, 3, 0, 2, 3, 2, 0, 2, 0, 0, 0, 0, 1, 2, 3, 3, 0, 3, 0, 3, 1, 2, 4, 0, 1, 3, 0, 0, 0, 3, 0, 0, 0, 2, 4, 2, 0, 2, 0, 3, 3, 2, 0, 1, 3, 3, 1, 1, 4, 1, 2, 2, 3, 1, 2, 3, 3, 1, 2, 3, 4, 1, 2, 3, 3, 1, 2, 1, 3, 2, 4, 1, 2, 4, 0, 0, 3, 3, 2, 0, 2, 4, 4, 1, 0, 4, 4, 0, 1, 2, 2, 1, 4, 4, 4, 1, 3, 0, 4, 4, 2, 1, 1, 0, 3, 1, 4, 3, 1, 4, 1, 0, 4, 4, 4, 1, 1, 1, 2, 4, 3, 4, 0, 1, 4]
pubkeycol1156 = [4, 4, 0, 0, 1, 4, 0, 3, 3, 0, 2, 1, 1, 3, 2, 4, 2, 1, 0, 3, 4, 1, 4, 3, 0, 2, 0, 3, 3, 4, 3, 1, 3, 0, 4, 1, 2, 1, 2, 3, 0, 4, 0, 1, 1, 3, 1, 3, 0, 2, 4, 0, 4, 1, 4, 3, 3, 4, 1, 2, 4, 1, 1, 1, 3, 0, 2, 0, 0, 2, 3, 1, 0, 0, 4, 1, 0, 2, 4, 2, 0, 0, 3, 1, 4, 0, 4, 3, 0, 2, 4, 1, 0, 2, 1, 4, 0, 2, 0, 4, 0, 2, 0, 0, 2, 0, 2, 3, 2, 2, 3, 0, 2, 3, 1, 4, 2, 3, 4, 0, 2, 4, 4, 1, 2, 1, 0, 3, 0, 3, 4, 3, 0, 2, 3, 0, 1, 1, 4, 4, 1, 0, 1, 3, 1, 4, 0, 0, 1, 3, 2, 0, 2, 3, 0, 1, 2, 2, 3, 3, 0, 0, 4, 0, 4, 4, 4, 1, 0, 4, 3, 3, 2, 3, 4, 1, 1, 3, 0, 1, 0, 1, 4, 1, 2, 2, 2, 1, 2, 4, 0, 2, 0, 3, 1, 0, 2, 2, 0, 2, 3, 2, 4, 0, 1, 0, 3, 1, 4, 3, 3, 1, 0, 1, 2, 4, 0, 2, 2, 3, 3, 0, 1, 4, 1, 4, 0, 4, 1, 3, 2, 0, 3, 3, 4, 3, 2, 3, 3, 0, 4, 2, 0, 2, 0, 3, 4, 2, 3, 1, 0, 0, 0, 1, 0, 1, 2, 0, 4, 4, 1, 0, 0, 3, 2, 0, 2, 0, 1, 2, 3, 0, 2, 1, 3, 3, 3, 3, 3, 1, 0, 3, 2, 2, 0, 3, 3, 0, 1, 0, 4, 3, 4, 0, 3, 4, 3, 2, 2, 4, 3, 3, 1, 2, 3, 1, 0, 3, 4, 2, 1, 3, 1, 0, 4, 4, 2, 4, 1, 0, 4, 0, 4, 0, 4, 4, 3, 3, 4, 3, 2, 4, 2, 2, 1, 1, 3, 2, 0, 2, 2, 4, 3, 4, 3, 1, 4, 0, 2, 3, 0, 3, 4, 4, 0, 3, 2, 2, 1, 0, 3, 3, 1, 0, 2, 1, 2, 2, 2, 3, 0, 1, 2, 2, 3, 0, 1, 4, 4, 4, 1, 1, 1, 4, 1, 3, 4, 0, 1, 2, 3, 1, 2, 4, 1, 4, 0, 2, 2, 1, 4, 1, 1, 0, 1, 3, 1, 1, 1, 3, 3, 0, 2, 4, 0, 2, 0, 2, 0, 1, 1, 3, 2, 0, 1, 0, 2, 4, 2, 3, 4, 0, 0, 3, 3, 4, 4, 0, 3, 2, 4, 4, 0, 0, 0, 4, 1, 3, 1, 2, 4, 0, 4, 1, 3, 3, 4, 3, 1, 3, 0, 2, 4, 0, 0, 4, 1, 2, 3, 1, 2, 2, 2, 4, 3, 2, 1, 1, 3, 0, 2, 0, 2, 1, 3, 1, 1, 1, 0, 1, 4, 2, 3, 4, 4, 4, 1, 1, 3, 0, 3, 0, 3, 4, 0]
pubkeycol1157 = [3, 1, 3, 0, 2, 1, 0, 2, 0, 3, 2, 0, 2, 3, 4, 4, 1, 4, 1, 3, 1, 0, 4, 3, 1, 1, 3, 1, 0, 3, 2, 4, 3, 0, 4, 0, 1, 0, 4, 3, 1, 0, 1, 3, 0, 0, 2, 1, 1, 1, 2, 0, 3, 3, 1, 1, 1, 3, 2, 2, 3, 4, 2, 2, 2, 1, 2, 3, 4, 0, 1, 4, 4, 2, 0, 2, 4, 3, 0, 4, 2, 1, 4, 3, 0, 3, 3, 2, 4, 2, 3, 1, 3, 1, 1, 4, 2, 0, 0, 3, 2, 2, 3, 3, 3, 4, 3, 1, 3, 3, 1, 1, 0, 1, 1, 0, 0, 4, 1, 0, 3, 3, 4, 1, 1, 1, 2, 3, 1, 1, 0, 4, 1, 3, 3, 2, 1, 4, 2, 0, 2, 0, 4, 3, 0, 4, 2, 0, 2, 3, 4, 4, 2, 4, 0, 2, 4, 2, 3, 1, 0, 2, 0, 2, 0, 2, 0, 4, 1, 0, 2, 4, 4, 2, 2, 2, 3, 3, 3, 2, 4, 3, 4, 2, 4, 3, 0, 3, 0, 0, 1, 3, 4, 4, 0, 1, 2, 3, 2, 4, 0, 2, 4, 4, 1, 4, 4, 3, 4, 0, 0, 3, 0, 1, 2, 4, 1, 0, 2, 0, 2, 2, 0, 3, 0, 3, 3, 3, 0, 4, 1, 0, 2, 3, 4, 3, 0, 3, 2, 0, 4, 4, 4, 4, 2, 2, 1, 1, 3, 2, 2, 1, 2, 2, 4, 3, 3, 0, 3, 0, 0, 0, 3, 2, 1, 2, 2, 4, 3, 2, 2, 4, 0, 3, 3, 1, 3, 1, 0, 1, 1, 0, 2, 1, 0, 3, 4, 0, 3, 4, 2, 1, 1, 1, 3, 4, 2, 2, 0, 3, 2, 3, 2, 2, 2, 1, 1, 4, 0, 0, 1, 2, 3, 1, 3, 3, 2, 3, 3, 0, 0, 4, 1, 2, 2, 1, 4, 0, 3, 1, 1, 3, 1, 4, 0, 4, 3, 2, 3, 4, 3, 0, 0, 2, 0, 2, 2, 0, 3, 2, 0, 2, 3, 3, 4, 0, 3, 2, 1, 3, 3, 4, 2, 2, 0, 4, 2, 3, 3, 0, 4, 2, 4, 1, 3, 1, 4, 1, 3, 4, 3, 3, 1, 2, 2, 3, 0, 4, 1, 0, 2, 2, 2, 0, 2, 4, 3, 2, 1, 0, 0, 1, 1, 0, 3, 0, 4, 3, 3, 3, 1, 3, 0, 3, 0, 2, 1, 2, 1, 2, 4, 3, 4, 0, 3, 4, 1, 4, 2, 4, 4, 2, 1, 3, 0, 4, 4, 3, 1, 0, 1, 4, 1, 4, 4, 3, 1, 1, 2, 4, 3, 4, 3, 1, 2, 3, 0, 1, 1, 3, 4, 4, 1, 1, 1, 3, 4, 3, 3, 4, 2, 3, 3, 4, 2, 4, 0, 1, 3, 1, 0, 4, 2, 0, 1, 0, 1, 3, 1, 0, 1, 2, 1, 4, 4, 2, 1, 1, 4, 1, 2, 2, 3, 2, 0]
pubkeycol1158 = [4, 0, 3, 3, 3, 0, 0, 3, 3, 4, 1, 2, 1, 1, 2, 0, 2, 3, 1, 2, 3, 4, 2, 1, 0, 0, 1, 3, 0, 2, 3, 2, 1, 2, 3, 3, 3, 0, 0, 1, 2, 3, 0, 4, 3, 2, 4, 0, 2, 1, 4, 1, 4, 3, 4, 3, 3, 3, 4, 1, 0, 1, 2, 0, 3, 0, 1, 2, 3, 2, 0, 4, 1, 0, 2, 3, 4, 0, 0, 4, 4, 1, 3, 0, 0, 4, 0, 2, 0, 1, 0, 3, 4, 2, 0, 2, 3, 0, 1, 0, 3, 4, 3, 0, 4, 2, 1, 4, 0, 2, 3, 3, 0, 3, 3, 4, 2, 4, 2, 4, 4, 3, 4, 4, 1, 0, 4, 1, 2, 0, 4, 1, 3, 4, 0, 4, 0, 2, 1, 0, 4, 2, 1, 2, 2, 4, 0, 0, 3, 4, 4, 1, 1, 4, 3, 0, 1, 2, 0, 4, 1, 0, 0, 2, 1, 2, 3, 0, 4, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 3, 2, 1, 4, 0, 2, 3, 2, 4, 0, 2, 3, 3, 2, 1, 0, 0, 4, 4, 3, 0, 0, 4, 0, 0, 4, 3, 4, 0, 2, 3, 0, 2, 3, 0, 2, 4, 0, 1, 4, 4, 2, 0, 2, 1, 0, 3, 2, 1, 1, 4, 0, 1, 0, 4, 0, 1, 2, 4, 2, 2, 3, 3, 0, 4, 2, 0, 4, 1, 3, 0, 2, 0, 2, 4, 4, 1, 3, 3, 2, 3, 3, 1, 4, 1, 4, 3, 4, 2, 2, 0, 4, 4, 2, 0, 1, 0, 1, 3, 3, 2, 1, 2, 2, 2, 0, 2, 3, 3, 1, 2, 4, 0, 4, 0, 2, 1, 1, 3, 4, 1, 0, 0, 0, 2, 0, 2, 2, 3, 0, 4, 2, 1, 0, 0, 0, 1, 1, 0, 0, 3, 0, 1, 1, 2, 3, 2, 3, 1, 1, 3, 2, 3, 1, 0, 4, 4, 4, 1, 4, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 3, 4, 2, 3, 2, 0, 3, 0, 2, 1, 4, 3, 3, 4, 1, 0, 1, 2, 2, 2, 2, 2, 2, 4, 1, 4, 2, 4, 3, 3, 3, 4, 1, 1, 3, 3, 0, 4, 0, 1, 4, 4, 0, 2, 1, 2, 4, 3, 2, 3, 4, 0, 2, 2, 4, 4, 3, 3, 1, 4, 4, 2, 2, 4, 0, 2, 4, 1, 4, 3, 4, 0, 2, 0, 2, 0, 2, 3, 4, 1, 4, 3, 2, 4, 1, 0, 4, 0, 2, 1, 0, 3, 0, 4, 0, 0, 4, 1, 4, 2, 0, 4, 3, 4, 1, 0, 4, 3, 3, 1, 4, 2, 4, 1, 3, 1, 0, 4, 4, 0, 2, 0, 4, 3, 2, 3, 0, 4, 2, 3, 2, 4, 3, 0, 3, 1, 3, 1, 4, 0, 3, 2, 4, 3, 2, 0, 1, 2, 3, 2, 4, 2, 0, 4, 0, 4]
pubkeycol1159 = [3, 3, 3, 0, 2, 0, 3, 1, 0, 4, 2, 2, 1, 3, 1, 0, 1, 4, 1, 2, 3, 1, 1, 1, 0, 3, 0, 1, 3, 1, 3, 4, 2, 1, 1, 1, 2, 3, 4, 2, 1, 2, 1, 2, 1, 3, 0, 0, 3, 2, 3, 2, 1, 1, 1, 3, 1, 1, 2, 0, 2, 3, 3, 0, 4, 4, 1, 3, 1, 2, 1, 3, 2, 3, 0, 0, 1, 3, 4, 2, 1, 1, 1, 2, 0, 1, 0, 4, 1, 0, 0, 2, 3, 0, 4, 2, 1, 4, 3, 2, 1, 2, 4, 3, 4, 0, 1, 2, 2, 2, 4, 2, 4, 1, 1, 2, 0, 2, 1, 3, 3, 1, 3, 3, 1, 3, 0, 3, 3, 0, 3, 2, 1, 2, 3, 4, 4, 1, 2, 1, 0, 1, 3, 1, 2, 4, 0, 1, 4, 0, 3, 0, 3, 0, 2, 3, 3, 0, 2, 1, 3, 2, 0, 3, 4, 3, 2, 3, 0, 3, 1, 2, 1, 4, 2, 0, 3, 3, 0, 3, 0, 3, 4, 1, 0, 2, 3, 2, 4, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 4, 3, 3, 3, 1, 4, 1, 4, 4, 0, 1, 4, 0, 2, 4, 2, 2, 1, 3, 0, 1, 1, 3, 1, 4, 2, 0, 0, 4, 1, 3, 3, 1, 4, 4, 0, 0, 4, 4, 0, 0, 1, 2, 1, 0, 2, 2, 4, 4, 0, 0, 4, 4, 2, 4, 1, 4, 2, 4, 0, 2, 0, 1, 4, 3, 2, 1, 4, 3, 2, 3, 4, 3, 3, 3, 4, 0, 3, 4, 3, 3, 2, 3, 1, 3, 4, 2, 2, 4, 3, 4, 0, 3, 2, 0, 4, 4, 4, 4, 3, 2, 2, 1, 3, 4, 3, 4, 2, 4, 2, 3, 2, 1, 1, 1, 1, 3, 2, 0, 3, 2, 0, 4, 4, 4, 2, 1, 2, 3, 3, 2, 3, 0, 0, 1, 0, 4, 2, 3, 1, 3, 0, 4, 1, 4, 3, 1, 3, 3, 1, 4, 0, 3, 3, 0, 2, 2, 1, 3, 0, 0, 3, 1, 0, 4, 2, 2, 1, 3, 3, 4, 4, 4, 4, 2, 2, 3, 2, 1, 0, 3, 2, 3, 2, 2, 0, 3, 3, 1, 4, 4, 1, 3, 3, 3, 0, 3, 1, 1, 0, 3, 0, 2, 0, 0, 2, 4, 3, 0, 2, 3, 2, 1, 0, 0, 0, 1, 3, 4, 2, 1, 4, 2, 2, 1, 3, 2, 0, 4, 4, 3, 0, 1, 2, 4, 2, 3, 3, 3, 2, 3, 4, 1, 4, 1, 1, 0, 2, 4, 2, 4, 3, 4, 1, 1, 1, 3, 4, 4, 3, 4, 1, 0, 2, 0, 4, 1, 4, 3, 4, 2, 2, 2, 1, 0, 3, 4, 4, 4, 0, 0, 4, 3, 0, 4, 3, 0, 0, 3, 2, 4, 3, 2, 4, 2, 1, 1, 1, 3, 1, 2, 2, 1, 3, 0, 0]
pubkeycol1160 = [0, 0, 2, 4, 2, 3, 4, 1, 1, 2, 2, 0, 4, 4, 4, 1, 3, 3, 2, 1, 3, 3, 0, 0, 1, 2, 0, 4, 4, 4, 0, 2, 4, 3, 4, 1, 4, 4, 1, 4, 0, 3, 4, 1, 4, 1, 2, 2, 3, 4, 4, 3, 0, 3, 0, 3, 3, 1, 2, 3, 4, 4, 2, 1, 1, 0, 2, 3, 0, 4, 4, 4, 2, 1, 4, 0, 2, 1, 2, 1, 0, 0, 2, 3, 0, 1, 3, 4, 4, 1, 3, 3, 0, 4, 1, 4, 0, 0, 3, 1, 1, 2, 1, 4, 0, 0, 1, 2, 3, 4, 1, 0, 4, 1, 4, 4, 1, 1, 2, 2, 1, 0, 4, 4, 2, 3, 3, 1, 1, 3, 0, 1, 1, 3, 0, 3, 2, 1, 4, 0, 1, 2, 3, 4, 2, 4, 3, 2, 4, 0, 2, 0, 4, 4, 3, 2, 3, 0, 2, 1, 1, 1, 2, 0, 4, 0, 1, 4, 3, 3, 4, 1, 3, 3, 2, 2, 2, 1, 3, 0, 3, 3, 1, 0, 1, 2, 1, 3, 4, 2, 4, 0, 0, 4, 3, 0, 0, 2, 3, 3, 1, 3, 3, 1, 4, 4, 0, 4, 0, 4, 0, 0, 3, 4, 3, 0, 0, 1, 0, 2, 3, 0, 1, 3, 3, 2, 4, 0, 3, 2, 0, 0, 3, 2, 0, 2, 1, 2, 2, 4, 2, 4, 3, 2, 4, 0, 3, 1, 3, 3, 1, 3, 4, 1, 4, 0, 0, 2, 0, 4, 0, 3, 0, 4, 1, 1, 1, 4, 4, 0, 1, 2, 3, 3, 1, 2, 1, 2, 1, 2, 2, 3, 1, 1, 3, 0, 1, 1, 3, 4, 3, 1, 1, 1, 1, 4, 2, 3, 0, 3, 1, 2, 2, 3, 1, 2, 1, 0, 2, 4, 0, 1, 3, 3, 2, 1, 0, 1, 3, 1, 4, 3, 2, 2, 1, 4, 1, 4, 0, 4, 3, 4, 0, 2, 3, 4, 3, 0, 2, 2, 4, 0, 3, 1, 0, 4, 3, 4, 2, 3, 2, 1, 3, 4, 0, 2, 4, 0, 2, 1, 4, 4, 2, 0, 2, 4, 3, 0, 3, 0, 3, 3, 2, 3, 2, 4, 0, 1, 0, 4, 1, 4, 2, 0, 1, 3, 0, 1, 3, 2, 1, 0, 2, 4, 3, 3, 4, 2, 3, 0, 3, 4, 2, 4, 2, 2, 3, 2, 4, 2, 0, 4, 0, 1, 1, 4, 1, 3, 2, 4, 4, 3, 4, 4, 0, 4, 3, 1, 2, 3, 3, 1, 2, 2, 2, 1, 3, 3, 1, 4, 1, 1, 2, 2, 0, 0, 2, 0, 4, 4, 3, 4, 3, 0, 4, 0, 0, 1, 0, 2, 3, 3, 0, 0, 3, 2, 0, 4, 1, 4, 4, 0, 1, 2, 1, 0, 2, 1, 0, 4, 4, 3, 4, 1, 3, 4, 3, 1, 0, 4, 1, 3, 4, 0, 1, 0, 1, 1, 3, 0, 4, 4, 1, 4, 0]
pubkeycol1161 = [3, 2, 3, 0, 2, 2, 0, 2, 0, 3, 3, 0, 1, 0, 1, 3, 0, 2, 2, 1, 4, 2, 0, 1, 0, 2, 1, 4, 4, 4, 0, 2, 4, 3, 2, 1, 1, 3, 4, 4, 1, 3, 2, 0, 1, 1, 4, 1, 1, 4, 4, 3, 0, 4, 0, 0, 0, 0, 3, 3, 4, 1, 0, 3, 4, 3, 0, 0, 4, 0, 2, 3, 1, 2, 0, 1, 1, 3, 1, 2, 3, 0, 4, 4, 4, 4, 3, 2, 2, 3, 1, 4, 0, 3, 0, 2, 4, 4, 1, 1, 2, 3, 1, 1, 4, 3, 1, 3, 4, 4, 2, 2, 4, 4, 4, 0, 2, 0, 4, 1, 1, 1, 4, 4, 0, 0, 1, 4, 3, 3, 2, 0, 2, 1, 2, 3, 4, 4, 2, 4, 0, 0, 0, 0, 4, 1, 1, 0, 3, 1, 3, 4, 1, 2, 4, 0, 0, 4, 0, 4, 4, 2, 1, 1, 4, 0, 3, 2, 4, 1, 0, 3, 0, 4, 3, 0, 0, 2, 0, 0, 3, 2, 3, 3, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 4, 1, 2, 4, 0, 0, 2, 0, 2, 4, 3, 3, 2, 0, 3, 2, 4, 1, 0, 0, 1, 4, 1, 3, 0, 4, 1, 0, 2, 1, 0, 0, 3, 4, 0, 2, 1, 1, 3, 4, 4, 1, 2, 0, 0, 3, 2, 4, 4, 2, 0, 2, 1, 0, 3, 3, 2, 1, 0, 3, 2, 0, 4, 3, 3, 3, 0, 2, 2, 1, 2, 4, 1, 4, 0, 1, 1, 3, 3, 3, 1, 0, 1, 4, 1, 0, 3, 4, 0, 1, 4, 1, 1, 3, 0, 2, 2, 1, 0, 4, 2, 1, 1, 2, 1, 4, 1, 4, 4, 1, 0, 3, 0, 0, 0, 2, 4, 0, 2, 0, 2, 4, 3, 0, 0, 0, 1, 2, 1, 4, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 4, 0, 3, 0, 1, 1, 1, 3, 2, 3, 2, 2, 0, 3, 0, 1, 2, 3, 0, 2, 3, 2, 2, 2, 4, 4, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 4, 1, 3, 1, 1, 1, 0, 1, 0, 0, 4, 3, 0, 2, 1, 1, 2, 1, 2, 4, 0, 4, 3, 4, 4, 1, 4, 2, 2, 4, 4, 0, 4, 4, 0, 4, 2, 2, 4, 4, 1, 1, 0, 3, 0, 1, 3, 4, 0, 4, 2, 4, 4, 3, 0, 2, 2, 4, 2, 2, 4, 4, 3, 0, 3, 1, 4, 0, 0, 4, 2, 1, 0, 1, 4, 4, 3, 2, 3, 0, 0, 3, 0, 4, 1, 1, 4, 0, 1, 0, 4, 0, 3, 4, 4, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 3, 0, 1, 0, 1, 2, 3, 1, 3, 0, 0, 3, 2, 4, 4, 2, 3, 3, 3]
pubkeycol1162 = [4, 3, 4, 2, 1, 3, 1, 4, 3, 2, 2, 4, 1, 2, 2, 4, 1, 3, 4, 4, 3, 3, 3, 2, 2, 1, 2, 3, 0, 4, 3, 1, 2, 3, 0, 0, 4, 0, 0, 2, 3, 2, 2, 2, 0, 3, 1, 0, 3, 3, 1, 0, 4, 2, 4, 2, 1, 0, 2, 3, 4, 4, 3, 1, 2, 0, 4, 1, 3, 2, 0, 1, 4, 2, 2, 0, 0, 0, 1, 1, 2, 3, 1, 4, 1, 3, 3, 2, 0, 4, 1, 1, 0, 3, 0, 2, 0, 2, 0, 4, 1, 3, 4, 0, 3, 1, 3, 3, 3, 2, 1, 1, 0, 2, 3, 1, 4, 2, 3, 0, 1, 3, 0, 4, 2, 2, 3, 4, 4, 2, 2, 0, 4, 2, 4, 0, 0, 0, 2, 3, 2, 1, 0, 4, 0, 0, 3, 0, 4, 0, 2, 3, 3, 3, 0, 2, 1, 2, 2, 3, 0, 2, 0, 0, 0, 0, 3, 1, 1, 3, 4, 1, 0, 3, 4, 4, 0, 0, 0, 2, 3, 2, 1, 3, 1, 1, 1, 2, 2, 1, 4, 2, 3, 0, 4, 4, 0, 4, 0, 3, 0, 1, 4, 2, 0, 3, 0, 1, 1, 2, 3, 1, 3, 3, 0, 1, 3, 1, 3, 4, 0, 1, 3, 3, 0, 1, 1, 2, 3, 2, 1, 3, 2, 3, 2, 2, 0, 2, 3, 0, 0, 0, 0, 2, 1, 3, 4, 0, 4, 0, 1, 2, 2, 2, 1, 1, 1, 1, 4, 2, 4, 4, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 4, 0, 3, 4, 0, 0, 0, 2, 3, 2, 1, 3, 3, 3, 4, 0, 3, 0, 2, 2, 3, 4, 4, 1, 2, 0, 2, 3, 2, 3, 1, 4, 1, 2, 3, 0, 3, 0, 1, 4, 1, 4, 0, 3, 1, 2, 2, 1, 0, 3, 2, 1, 3, 2, 0, 1, 2, 1, 3, 3, 3, 3, 1, 1, 4, 0, 0, 2, 1, 1, 0, 3, 3, 1, 4, 2, 4, 2, 0, 4, 0, 0, 2, 1, 1, 2, 1, 4, 0, 2, 1, 1, 0, 4, 4, 2, 2, 0, 0, 2, 2, 2, 3, 4, 0, 3, 4, 3, 4, 4, 3, 3, 4, 1, 1, 1, 4, 3, 1, 2, 4, 1, 2, 1, 0, 4, 0, 1, 4, 0, 3, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 4, 0, 3, 4, 3, 4, 2, 4, 1, 2, 1, 2, 1, 2, 4, 2, 3, 2, 4, 2, 1, 4, 0, 3, 0, 4, 4, 3, 0, 2, 1, 3, 3, 2, 2, 0, 2, 1, 2, 4, 4, 3, 0, 4, 2, 2, 2, 2, 4, 0, 4, 4, 0, 2, 0, 3, 2, 1, 2, 0, 1, 4, 4, 0, 3, 0, 2, 1, 0, 4, 3, 1, 4, 3, 1, 1, 3, 3, 0, 0, 3, 1, 3, 0, 0, 0, 3, 2]
pubkeycol1163 = [0, 4, 2, 1, 4, 0, 2, 2, 3, 4, 3, 3, 0, 2, 3, 0, 2, 4, 3, 0, 4, 2, 2, 0, 4, 0, 1, 4, 1, 0, 3, 3, 1, 2, 4, 1, 4, 0, 2, 1, 0, 3, 3, 0, 2, 4, 1, 4, 0, 2, 4, 3, 1, 0, 2, 4, 4, 4, 3, 0, 1, 2, 0, 2, 2, 4, 0, 2, 4, 3, 0, 2, 2, 0, 0, 4, 4, 2, 2, 2, 3, 2, 1, 3, 2, 0, 0, 3, 3, 2, 1, 4, 4, 0, 1, 1, 4, 2, 3, 4, 0, 3, 3, 4, 0, 1, 1, 2, 2, 1, 1, 2, 1, 4, 3, 4, 2, 1, 4, 4, 2, 2, 3, 1, 4, 1, 4, 0, 4, 1, 0, 4, 1, 0, 0, 3, 1, 0, 1, 0, 1, 4, 2, 1, 2, 0, 4, 0, 1, 3, 3, 2, 1, 4, 4, 4, 2, 4, 2, 0, 3, 1, 3, 3, 2, 1, 0, 3, 1, 3, 0, 3, 4, 0, 4, 4, 4, 2, 4, 4, 0, 4, 4, 3, 0, 1, 0, 4, 4, 0, 1, 3, 2, 3, 2, 1, 4, 3, 0, 4, 2, 3, 1, 1, 3, 4, 4, 3, 2, 4, 0, 4, 3, 0, 1, 2, 0, 2, 3, 1, 3, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 4, 3, 4, 4, 1, 0, 1, 2, 0, 4, 4, 3, 1, 2, 2, 2, 3, 1, 0, 0, 0, 4, 1, 2, 3, 1, 4, 1, 0, 3, 4, 2, 0, 0, 2, 2, 0, 3, 3, 0, 4, 4, 2, 1, 1, 3, 1, 4, 2, 2, 1, 4, 3, 1, 0, 4, 4, 0, 3, 4, 0, 1, 1, 4, 3, 0, 0, 4, 4, 0, 2, 3, 4, 3, 4, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 3, 0, 2, 3, 1, 4, 0, 0, 4, 4, 0, 2, 3, 1, 3, 2, 3, 3, 2, 1, 3, 3, 4, 2, 0, 1, 1, 1, 3, 1, 0, 3, 4, 2, 1, 0, 4, 2, 1, 1, 3, 4, 4, 2, 2, 4, 4, 2, 1, 4, 3, 2, 3, 0, 4, 3, 0, 3, 1, 2, 3, 4, 4, 3, 0, 1, 1, 4, 2, 0, 1, 3, 3, 0, 0, 1, 4, 3, 2, 1, 2, 0, 4, 0, 4, 2, 4, 3, 0, 2, 2, 4, 1, 3, 0, 3, 3, 4, 4, 1, 2, 2, 4, 3, 1, 4, 0, 1, 3, 1, 1, 2, 1, 3, 2, 4, 4, 0, 3, 3, 4, 4, 1, 0, 4, 4, 0, 1, 4, 0, 2, 1, 3, 2, 4, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 3, 0, 0, 3, 4, 4, 3, 4, 0, 2, 3, 2, 0, 3, 0, 0, 4, 1, 1, 3, 0, 0, 4, 0, 4, 1, 2, 4, 0, 4, 3, 1, 2, 3, 3, 3, 0, 2, 2, 0, 0]
pubkeycol1164 = [3, 1, 2, 4, 4, 1, 3, 2, 4, 3, 4, 2, 0, 4, 2, 1, 1, 2, 2, 4, 1, 3, 2, 3, 0, 0, 2, 3, 2, 3, 0, 2, 3, 2, 2, 2, 4, 3, 0, 2, 4, 1, 1, 3, 2, 4, 1, 4, 2, 4, 3, 0, 4, 1, 4, 3, 3, 1, 2, 3, 1, 4, 2, 1, 1, 3, 4, 1, 1, 4, 4, 1, 4, 2, 3, 4, 3, 3, 2, 2, 1, 2, 0, 4, 4, 1, 0, 3, 2, 3, 0, 4, 0, 3, 2, 1, 4, 3, 3, 1, 4, 3, 4, 0, 0, 0, 1, 2, 0, 3, 0, 2, 1, 3, 0, 3, 4, 3, 0, 1, 0, 4, 4, 1, 4, 3, 1, 1, 3, 4, 3, 4, 4, 2, 3, 3, 0, 4, 4, 1, 3, 0, 4, 3, 2, 0, 1, 0, 0, 4, 2, 1, 0, 3, 4, 2, 2, 3, 1, 4, 4, 2, 1, 1, 3, 0, 1, 2, 4, 1, 1, 1, 4, 4, 2, 2, 3, 1, 2, 4, 4, 2, 0, 3, 0, 1, 3, 2, 3, 4, 1, 0, 0, 0, 0, 2, 4, 0, 0, 4, 1, 3, 3, 2, 2, 3, 1, 4, 4, 1, 3, 1, 4, 1, 2, 3, 4, 3, 0, 4, 3, 0, 3, 0, 1, 4, 3, 1, 3, 2, 3, 1, 4, 2, 4, 3, 2, 4, 0, 4, 2, 0, 3, 2, 1, 3, 1, 4, 4, 2, 0, 0, 1, 3, 0, 0, 0, 4, 0, 2, 4, 2, 0, 1, 4, 2, 4, 0, 3, 2, 4, 0, 3, 3, 0, 0, 2, 3, 4, 4, 3, 1, 1, 3, 3, 4, 3, 1, 4, 1, 4, 3, 2, 4, 4, 4, 0, 2, 3, 2, 1, 2, 2, 0, 3, 0, 2, 2, 0, 1, 3, 3, 3, 1, 1, 2, 1, 2, 0, 1, 4, 3, 4, 4, 1, 4, 1, 2, 3, 1, 3, 2, 2, 3, 2, 3, 2, 1, 4, 3, 1, 1, 4, 3, 2, 1, 0, 0, 1, 0, 0, 3, 0, 4, 0, 1, 2, 1, 4, 3, 0, 3, 2, 3, 3, 0, 1, 0, 2, 4, 2, 0, 0, 1, 1, 2, 1, 1, 4, 3, 3, 3, 0, 2, 2, 2, 4, 4, 4, 3, 1, 3, 2, 0, 4, 1, 1, 1, 3, 2, 1, 4, 0, 0, 4, 0, 1, 3, 3, 2, 2, 2, 3, 0, 2, 4, 2, 4, 2, 1, 3, 3, 1, 1, 4, 1, 2, 4, 3, 2, 4, 1, 3, 3, 1, 4, 0, 2, 2, 3, 3, 0, 4, 2, 3, 4, 3, 4, 1, 4, 0, 2, 3, 1, 3, 1, 2, 1, 2, 0, 4, 3, 3, 2, 0, 2, 1, 4, 2, 3, 0, 2, 1, 1, 1, 2, 3, 2, 2, 4, 0, 1, 1, 4, 0, 1, 2, 2, 2, 1, 2, 4, 4, 4, 3, 0, 4, 1, 2, 1, 4, 1, 3, 3, 4]
pubkeycol1165 = [4, 3, 1, 1, 0, 4, 4, 0, 0, 3, 2, 1, 2, 3, 3, 0, 2, 1, 3, 3, 4, 4, 3, 0, 1, 4, 0, 3, 1, 1, 2, 1, 2, 4, 0, 1, 4, 0, 2, 3, 2, 4, 1, 1, 4, 1, 3, 3, 4, 2, 0, 3, 0, 0, 0, 0, 2, 4, 0, 2, 1, 2, 1, 2, 0, 1, 2, 4, 4, 3, 4, 4, 1, 3, 0, 3, 3, 1, 0, 1, 1, 0, 1, 1, 3, 2, 1, 0, 0, 4, 0, 1, 1, 0, 3, 2, 4, 2, 1, 1, 3, 1, 1, 1, 1, 3, 0, 1, 3, 1, 2, 3, 0, 0, 2, 4, 1, 2, 4, 3, 4, 3, 1, 0, 1, 1, 3, 1, 1, 1, 1, 4, 3, 2, 0, 1, 1, 2, 3, 4, 0, 3, 4, 0, 0, 0, 2, 1, 4, 3, 4, 2, 3, 3, 3, 0, 2, 2, 0, 0, 1, 3, 3, 0, 0, 2, 3, 3, 3, 2, 3, 0, 0, 1, 3, 4, 1, 3, 0, 4, 1, 2, 4, 2, 2, 0, 4, 2, 3, 3, 0, 2, 0, 0, 1, 0, 0, 2, 2, 3, 4, 1, 1, 0, 2, 4, 1, 0, 1, 4, 4, 0, 1, 1, 4, 0, 1, 1, 4, 4, 4, 1, 0, 1, 0, 0, 1, 0, 0, 2, 4, 3, 0, 2, 1, 1, 4, 4, 2, 3, 4, 4, 0, 2, 4, 3, 2, 0, 2, 1, 2, 4, 1, 1, 3, 4, 2, 4, 3, 2, 3, 4, 0, 4, 3, 0, 1, 0, 0, 1, 2, 3, 0, 1, 1, 3, 3, 0, 3, 1, 3, 4, 2, 1, 4, 3, 3, 4, 0, 2, 2, 3, 0, 0, 4, 1, 0, 1, 4, 0, 2, 1, 1, 4, 2, 4, 3, 4, 1, 2, 3, 2, 1, 2, 2, 4, 3, 0, 1, 4, 4, 1, 1, 0, 2, 3, 2, 2, 2, 2, 4, 2, 3, 1, 0, 3, 2, 1, 3, 1, 3, 0, 1, 0, 3, 2, 2, 1, 3, 0, 2, 2, 4, 4, 0, 0, 1, 3, 4, 4, 2, 3, 0, 0, 0, 0, 4, 0, 4, 1, 3, 4, 2, 4, 1, 3, 3, 3, 2, 4, 4, 1, 4, 3, 2, 0, 1, 4, 4, 4, 1, 1, 1, 3, 3, 4, 4, 3, 2, 0, 3, 1, 0, 4, 4, 4, 1, 3, 0, 4, 2, 4, 0, 1, 2, 4, 1, 2, 1, 4, 1, 4, 2, 4, 0, 2, 2, 2, 3, 0, 0, 2, 2, 2, 4, 1, 4, 1, 0, 0, 3, 0, 3, 3, 2, 1, 4, 0, 3, 4, 2, 2, 0, 4, 1, 4, 2, 4, 1, 0, 1, 3, 4, 4, 2, 4, 3, 2, 3, 0, 0, 4, 1, 2, 3, 3, 0, 4, 1, 1, 3, 3, 0, 0, 3, 1, 1, 3, 4, 1, 1, 4, 3, 0, 1, 3, 0, 1, 1, 1, 4, 0, 2, 4, 4]
pubkeycol1166 = [0, 3, 4, 1, 4, 2, 4, 3, 2, 0, 3, 1, 3, 2, 1, 1, 4, 4, 1, 3, 1, 4, 2, 4, 1, 4, 2, 1, 1, 3, 2, 4, 4, 4, 2, 0, 1, 2, 4, 1, 3, 2, 3, 3, 3, 0, 4, 2, 3, 0, 0, 0, 4, 4, 4, 3, 3, 3, 0, 0, 0, 2, 4, 4, 2, 3, 2, 0, 2, 3, 0, 0, 0, 4, 1, 0, 0, 1, 0, 4, 3, 2, 2, 2, 0, 3, 0, 0, 3, 0, 0, 0, 1, 3, 0, 0, 2, 4, 3, 3, 1, 3, 0, 4, 4, 4, 1, 2, 2, 3, 4, 4, 4, 2, 0, 1, 1, 0, 0, 0, 0, 2, 4, 0, 3, 1, 0, 3, 0, 1, 4, 4, 3, 0, 3, 0, 4, 1, 2, 0, 1, 1, 4, 0, 2, 1, 3, 2, 2, 2, 3, 2, 1, 3, 4, 3, 2, 3, 3, 0, 1, 0, 4, 2, 0, 0, 2, 4, 0, 3, 1, 4, 0, 3, 3, 3, 0, 1, 2, 4, 0, 2, 0, 3, 3, 0, 2, 0, 4, 3, 4, 3, 0, 1, 3, 3, 3, 0, 3, 4, 4, 2, 4, 3, 1, 0, 1, 2, 1, 0, 2, 4, 4, 3, 1, 0, 0, 3, 3, 1, 0, 4, 1, 1, 1, 2, 3, 4, 0, 1, 4, 4, 2, 2, 4, 3, 1, 4, 1, 3, 2, 1, 1, 1, 3, 1, 0, 2, 3, 2, 2, 0, 1, 0, 1, 4, 1, 3, 1, 3, 3, 0, 4, 3, 2, 1, 1, 4, 2, 2, 2, 1, 0, 3, 3, 1, 3, 3, 0, 3, 1, 4, 0, 1, 1, 2, 4, 4, 4, 3, 2, 0, 4, 3, 0, 4, 3, 4, 3, 2, 4, 0, 3, 2, 3, 4, 4, 4, 4, 3, 0, 4, 4, 2, 1, 2, 4, 1, 0, 3, 3, 4, 1, 3, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 1, 3, 0, 0, 3, 3, 1, 3, 1, 2, 3, 3, 4, 3, 3, 4, 4, 2, 2, 3, 1, 1, 2, 3, 2, 0, 1, 3, 3, 1, 1, 0, 1, 1, 0, 1, 4, 3, 3, 2, 0, 0, 2, 0, 4, 0, 1, 2, 1, 2, 3, 0, 1, 2, 2, 3, 3, 0, 1, 0, 3, 1, 0, 1, 1, 4, 2, 2, 2, 2, 0, 2, 3, 4, 2, 4, 1, 2, 1, 0, 0, 3, 3, 1, 4, 1, 3, 4, 4, 2, 0, 2, 2, 0, 4, 1, 4, 2, 2, 0, 0, 4, 2, 0, 1, 3, 4, 3, 4, 0, 4, 0, 4, 4, 3, 2, 0, 3, 3, 3, 4, 3, 3, 0, 0, 0, 0, 3, 4, 4, 0, 1, 4, 3, 0, 2, 2, 2, 4, 0, 2, 2, 2, 4, 3, 1, 2, 4, 0, 0, 0, 0, 2, 4, 0, 1, 1, 1, 4, 2, 4, 2, 4, 4, 1, 4, 4, 2, 0]
pubkeycol1167 = [3, 0, 3, 4, 4, 0, 4, 4, 1, 3, 0, 1, 1, 1, 1, 4, 3, 0, 2, 0, 2, 0, 3, 3, 3, 1, 2, 4, 0, 0, 1, 4, 0, 3, 1, 2, 0, 4, 3, 1, 1, 1, 1, 2, 4, 2, 4, 2, 4, 1, 4, 4, 4, 0, 4, 0, 4, 1, 4, 2, 4, 0, 1, 2, 1, 0, 0, 4, 3, 4, 0, 2, 3, 3, 0, 4, 2, 1, 1, 2, 3, 2, 4, 3, 1, 2, 1, 0, 4, 1, 0, 0, 0, 0, 0, 0, 2, 3, 4, 1, 3, 3, 0, 2, 1, 2, 4, 3, 1, 2, 4, 4, 3, 1, 3, 2, 1, 3, 0, 3, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 3, 0, 0, 2, 2, 2, 2, 3, 0, 1, 2, 2, 3, 4, 3, 4, 2, 4, 1, 1, 0, 4, 3, 4, 2, 1, 4, 0, 0, 2, 4, 4, 4, 0, 4, 2, 3, 0, 1, 3, 4, 3, 4, 0, 4, 2, 4, 2, 2, 2, 4, 0, 3, 4, 4, 1, 3, 2, 0, 2, 0, 1, 1, 4, 3, 3, 3, 3, 2, 0, 0, 0, 0, 1, 2, 4, 0, 2, 1, 3, 1, 2, 2, 3, 0, 3, 1, 0, 2, 2, 4, 4, 0, 3, 2, 3, 1, 3, 4, 1, 3, 2, 2, 4, 0, 2, 2, 1, 1, 0, 3, 0, 2, 0, 0, 2, 0, 0, 0, 4, 4, 3, 4, 2, 2, 1, 3, 3, 4, 4, 0, 0, 3, 3, 2, 4, 2, 3, 4, 0, 4, 0, 2, 1, 2, 4, 0, 3, 2, 0, 2, 2, 2, 2, 1, 2, 4, 2, 2, 4, 4, 3, 2, 4, 4, 3, 1, 0, 1, 1, 1, 0, 4, 1, 4, 4, 2, 4, 3, 1, 3, 3, 1, 3, 3, 0, 2, 2, 1, 3, 0, 0, 0, 2, 0, 3, 1, 3, 1, 0, 2, 3, 3, 3, 2, 4, 1, 4, 1, 3, 1, 1, 4, 1, 3, 0, 2, 0, 4, 3, 1, 2, 4, 0, 2, 4, 0, 4, 0, 0, 4, 2, 0, 0, 2, 1, 1, 3, 4, 4, 2, 0, 4, 3, 4, 3, 1, 2, 2, 1, 1, 4, 1, 0, 1, 3, 1, 0, 1, 2, 4, 1, 3, 4, 4, 0, 4, 2, 0, 0, 2, 4, 1, 4, 2, 1, 1, 3, 2, 0, 2, 0, 0, 2, 2, 2, 3, 0, 3, 1, 2, 1, 1, 3, 0, 3, 0, 1, 4, 2, 4, 0, 4, 2, 4, 3, 3, 0, 3, 0, 1, 0, 0, 1, 0, 4, 1, 1, 0, 1, 1, 4, 2, 3, 4, 2, 1, 3, 2, 0, 0, 2, 1, 1, 3, 0, 2, 3, 0, 0, 3, 0, 3, 2, 1, 3, 1, 2, 2, 3, 3, 1, 4, 1, 4, 4, 2, 4, 4, 4, 2, 1, 2, 2, 2, 2, 3, 3, 0, 0, 1, 1, 0, 2, 1]
pubkeycol1168 = [1, 0, 3, 2, 3, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 4, 0, 4, 0, 2, 1, 1, 2, 4, 1, 4, 4, 3, 0, 2, 1, 4, 2, 4, 3, 3, 3, 1, 4, 4, 3, 4, 1, 1, 4, 2, 4, 4, 3, 3, 0, 1, 2, 3, 3, 1, 3, 0, 4, 3, 4, 3, 0, 0, 3, 4, 1, 3, 1, 2, 4, 3, 1, 0, 4, 0, 1, 4, 2, 0, 1, 2, 1, 2, 2, 3, 1, 1, 1, 3, 3, 4, 2, 4, 0, 1, 4, 3, 1, 4, 1, 0, 1, 2, 4, 2, 1, 3, 3, 4, 2, 0, 2, 0, 2, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 3, 1, 2, 1, 1, 3, 3, 1, 2, 3, 1, 0, 2, 4, 3, 3, 2, 4, 1, 3, 0, 0, 1, 4, 2, 3, 1, 1, 0, 1, 0, 4, 2, 3, 2, 0, 0, 4, 2, 1, 3, 3, 0, 2, 2, 2, 2, 2, 0, 2, 3, 0, 2, 0, 0, 2, 1, 4, 3, 2, 2, 1, 2, 0, 0, 3, 0, 3, 3, 0, 0, 3, 1, 3, 2, 3, 4, 4, 2, 4, 1, 0, 1, 3, 3, 4, 3, 2, 3, 1, 4, 4, 3, 3, 2, 1, 1, 4, 4, 3, 3, 2, 0, 2, 2, 3, 4, 3, 0, 4, 0, 2, 4, 2, 1, 2, 0, 2, 1, 0, 4, 0, 4, 4, 2, 1, 3, 1, 2, 2, 1, 2, 0, 0, 4, 3, 3, 4, 0, 0, 1, 1, 1, 3, 1, 1, 1, 3, 0, 0, 1, 4, 1, 0, 2, 1, 1, 2, 3, 4, 0, 2, 3, 1, 2, 0, 4, 3, 4, 3, 0, 4, 2, 1, 1, 4, 4, 1, 1, 2, 3, 0, 4, 3, 4, 2, 3, 4, 0, 4, 2, 3, 0, 3, 2, 1, 1, 1, 0, 3, 3, 1, 1, 2, 1, 3, 4, 3, 4, 2, 4, 3, 4, 4, 3, 4, 2, 2, 3, 1, 0, 3, 1, 4, 4, 3, 4, 2, 1, 0, 2, 1, 2, 0, 0, 2, 4, 3, 0, 3, 3, 2, 4, 1, 3, 3, 3, 1, 4, 3, 3, 1, 3, 3, 0, 3, 3, 0, 2, 4, 4, 3, 3, 4, 4, 0, 3, 2, 1, 2, 3, 1, 3, 0, 2, 3, 2, 4, 0, 0, 0, 1, 2, 1, 1, 0, 3, 1, 0, 3, 1, 4, 3, 1, 4, 3, 1, 4, 0, 1, 3, 4, 1, 1, 3, 3, 2, 3, 2, 1, 3, 2, 3, 4, 1, 3, 2, 3, 3, 3, 2, 0, 2, 4, 4, 2, 4, 2, 2, 2, 1, 2, 0, 3, 2, 2, 2, 3, 3, 1, 2, 2, 0, 2, 3, 4, 2, 1, 4, 1, 1, 0, 3, 3, 1, 2, 0, 1, 1, 2, 3, 2, 0, 4, 0, 3, 3, 1, 0, 3, 1, 1, 1, 0, 2, 3, 0, 1, 1, 1]
pubkeycol1169 = [3, 3, 3, 3, 0, 3, 0, 2, 1, 0, 0, 3, 0, 2, 1, 1, 1, 0, 1, 4, 2, 4, 0, 4, 2, 0, 4, 0, 2, 2, 2, 0, 4, 2, 1, 4, 2, 0, 4, 4, 1, 4, 4, 2, 1, 1, 2, 4, 2, 3, 1, 4, 3, 2, 2, 0, 1, 4, 1, 0, 2, 0, 3, 0, 2, 4, 1, 2, 4, 3, 3, 4, 0, 3, 1, 2, 0, 3, 4, 4, 3, 1, 3, 2, 2, 1, 4, 4, 1, 0, 0, 0, 1, 4, 3, 3, 1, 0, 4, 2, 2, 4, 2, 3, 4, 2, 1, 3, 2, 1, 1, 0, 1, 4, 0, 2, 0, 0, 0, 1, 2, 2, 3, 4, 4, 4, 0, 4, 1, 4, 4, 0, 3, 0, 1, 0, 2, 3, 0, 1, 0, 3, 1, 2, 4, 4, 4, 2, 1, 2, 0, 1, 3, 1, 0, 3, 2, 0, 3, 4, 1, 1, 1, 4, 2, 3, 3, 1, 3, 4, 2, 0, 2, 4, 4, 4, 4, 0, 0, 2, 2, 2, 3, 2, 0, 2, 2, 3, 0, 4, 4, 2, 3, 2, 1, 1, 0, 2, 1, 3, 3, 1, 3, 2, 0, 2, 1, 1, 3, 0, 0, 1, 3, 4, 3, 2, 0, 1, 3, 4, 4, 1, 3, 1, 1, 1, 2, 0, 3, 1, 3, 4, 1, 0, 1, 0, 4, 1, 2, 3, 3, 0, 1, 3, 4, 4, 1, 3, 0, 0, 0, 2, 3, 0, 0, 3, 0, 3, 3, 4, 3, 0, 0, 0, 1, 4, 3, 4, 3, 4, 0, 2, 2, 1, 2, 0, 1, 1, 1, 4, 2, 2, 4, 2, 0, 2, 2, 1, 2, 4, 3, 2, 2, 3, 1, 4, 0, 4, 4, 3, 3, 2, 1, 2, 4, 0, 2, 2, 2, 4, 4, 4, 2, 2, 4, 3, 3, 0, 3, 1, 4, 4, 4, 4, 1, 0, 4, 2, 1, 3, 4, 0, 4, 0, 0, 1, 1, 4, 0, 3, 1, 0, 2, 4, 0, 1, 0, 4, 4, 4, 1, 4, 4, 3, 0, 2, 3, 3, 3, 0, 3, 4, 4, 1, 1, 4, 4, 2, 2, 0, 0, 3, 2, 2, 3, 3, 1, 4, 2, 3, 2, 4, 4, 0, 2, 3, 2, 1, 4, 4, 4, 2, 1, 1, 2, 2, 3, 4, 1, 1, 4, 1, 1, 0, 1, 0, 4, 0, 2, 1, 1, 2, 2, 3, 0, 0, 4, 4, 2, 2, 2, 1, 4, 0, 1, 4, 3, 4, 4, 3, 2, 3, 3, 4, 3, 4, 4, 0, 2, 1, 4, 0, 4, 2, 4, 1, 1, 0, 0, 4, 2, 1, 1, 4, 4, 3, 2, 4, 1, 3, 4, 3, 4, 1, 1, 0, 3, 0, 3, 0, 3, 0, 3, 0, 2, 0, 4, 3, 3, 3, 3, 4, 2, 0, 1, 0, 3, 4, 3, 2, 2, 0, 4, 3, 4, 1, 1, 0, 0, 3, 4, 1, 2, 1, 0]
pubkeycol1170 = [4, 3, 3, 2, 4, 4, 2, 1, 0, 4, 4, 0, 2, 0, 3, 0, 4, 4, 3, 4, 3, 4, 1, 0, 2, 1, 0, 2, 3, 4, 0, 3, 3, 1, 3, 3, 0, 4, 3, 3, 0, 2, 0, 3, 2, 4, 3, 3, 0, 4, 3, 4, 4, 2, 0, 2, 4, 2, 2, 4, 0, 3, 1, 3, 3, 0, 0, 0, 2, 2, 2, 2, 2, 1, 3, 2, 4, 0, 0, 0, 1, 4, 2, 1, 4, 3, 1, 4, 4, 4, 3, 1, 0, 2, 0, 0, 0, 1, 4, 3, 4, 0, 3, 2, 1, 1, 3, 4, 2, 4, 0, 0, 0, 0, 4, 3, 4, 4, 4, 2, 4, 0, 2, 0, 4, 4, 0, 4, 2, 2, 0, 0, 1, 2, 1, 2, 4, 1, 1, 3, 0, 1, 2, 0, 4, 0, 0, 1, 3, 0, 1, 3, 3, 2, 0, 3, 3, 0, 4, 4, 4, 2, 0, 1, 0, 2, 4, 2, 1, 1, 3, 4, 3, 0, 3, 3, 0, 1, 1, 1, 3, 0, 4, 3, 1, 0, 4, 4, 3, 3, 4, 0, 0, 3, 2, 4, 1, 2, 1, 2, 4, 2, 3, 2, 2, 1, 3, 3, 1, 1, 1, 3, 0, 4, 0, 1, 1, 2, 3, 3, 0, 0, 3, 0, 1, 3, 4, 1, 2, 0, 2, 3, 2, 0, 0, 2, 0, 4, 3, 2, 2, 4, 4, 1, 3, 0, 1, 1, 3, 0, 0, 4, 3, 1, 0, 0, 1, 3, 4, 0, 3, 2, 3, 1, 0, 0, 4, 4, 1, 4, 4, 4, 0, 3, 2, 4, 3, 4, 1, 2, 4, 1, 3, 0, 3, 4, 0, 1, 1, 3, 0, 4, 1, 2, 2, 0, 3, 0, 3, 1, 0, 3, 4, 4, 0, 4, 4, 4, 3, 2, 0, 4, 3, 1, 2, 0, 4, 1, 3, 0, 4, 1, 4, 4, 0, 0, 3, 0, 0, 2, 2, 2, 0, 1, 4, 4, 1, 3, 0, 1, 1, 2, 4, 3, 1, 1, 0, 4, 2, 1, 0, 2, 4, 3, 4, 1, 0, 0, 3, 3, 4, 0, 1, 3, 3, 3, 3, 0, 3, 4, 2, 1, 3, 1, 4, 1, 4, 0, 1, 2, 4, 0, 0, 1, 4, 2, 0, 4, 0, 3, 2, 2, 2, 0, 2, 4, 2, 2, 2, 4, 3, 1, 0, 1, 1, 4, 4, 4, 2, 4, 0, 1, 4, 0, 2, 1, 0, 1, 0, 4, 1, 2, 0, 2, 0, 2, 4, 4, 1, 4, 3, 2, 2, 3, 2, 3, 2, 4, 3, 2, 4, 2, 2, 2, 1, 2, 0, 4, 1, 2, 4, 0, 4, 4, 2, 0, 4, 1, 0, 4, 3, 4, 3, 4, 4, 1, 4, 2, 1, 3, 3, 2, 1, 4, 0, 4, 1, 0, 4, 0, 2, 4, 4, 4, 1, 2, 3, 1, 0, 4, 2, 3, 0, 2, 2, 2, 2, 3, 3, 2, 2, 0, 2, 0, 2]
pubkeycol1171 = [3, 3, 2, 3, 2, 3, 2, 3, 4, 0, 0, 1, 2, 0, 3, 4, 3, 4, 4, 2, 3, 4, 4, 3, 2, 0, 0, 0, 2, 2, 3, 4, 4, 4, 4, 1, 0, 1, 1, 3, 2, 3, 0, 0, 3, 4, 0, 2, 4, 1, 4, 3, 1, 4, 3, 3, 1, 3, 2, 0, 0, 3, 3, 4, 0, 2, 2, 1, 4, 4, 4, 0, 1, 2, 1, 3, 0, 1, 3, 1, 0, 2, 3, 4, 1, 3, 3, 2, 2, 3, 1, 1, 0, 1, 2, 0, 4, 4, 0, 4, 0, 4, 0, 2, 2, 2, 0, 0, 4, 1, 2, 1, 4, 4, 0, 2, 4, 4, 3, 3, 3, 0, 2, 3, 4, 4, 1, 4, 2, 2, 2, 0, 3, 2, 1, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 1, 2, 2, 3, 1, 0, 0, 1, 4, 1, 1, 4, 4, 1, 2, 1, 0, 4, 0, 3, 3, 2, 2, 0, 1, 2, 4, 2, 2, 2, 3, 1, 0, 1, 2, 4, 0, 4, 2, 0, 3, 4, 2, 4, 3, 4, 4, 1, 0, 1, 3, 2, 3, 3, 4, 2, 4, 1, 0, 4, 2, 3, 2, 1, 2, 2, 2, 0, 3, 2, 2, 0, 1, 2, 3, 4, 2, 0, 1, 1, 1, 3, 1, 3, 3, 2, 1, 0, 4, 4, 4, 1, 1, 0, 2, 0, 3, 1, 4, 3, 1, 2, 0, 1, 0, 1, 0, 4, 2, 1, 1, 1, 0, 2, 0, 3, 3, 3, 1, 1, 1, 0, 4, 0, 1, 3, 0, 4, 4, 4, 4, 1, 0, 2, 4, 4, 1, 3, 2, 3, 1, 1, 1, 3, 4, 3, 3, 1, 3, 2, 2, 4, 0, 1, 3, 1, 3, 0, 3, 4, 1, 3, 0, 3, 3, 4, 0, 4, 4, 3, 1, 2, 0, 0, 4, 0, 4, 3, 0, 1, 4, 3, 4, 3, 1, 0, 0, 2, 2, 3, 2, 3, 4, 0, 4, 2, 3, 1, 2, 4, 3, 2, 0, 4, 2, 0, 4, 3, 4, 2, 2, 2, 0, 2, 2, 0, 2, 2, 3, 1, 2, 3, 0, 3, 0, 2, 4, 3, 4, 0, 4, 2, 2, 2, 4, 3, 4, 3, 0, 4, 4, 2, 2, 4, 1, 1, 0, 4, 3, 4, 1, 3, 4, 3, 4, 1, 0, 4, 3, 1, 2, 0, 4, 2, 3, 4, 4, 1, 2, 4, 3, 4, 4, 0, 3, 3, 4, 1, 4, 1, 2, 4, 1, 3, 3, 1, 4, 1, 3, 0, 1, 0, 0, 4, 2, 2, 1, 4, 2, 1, 4, 4, 2, 3, 4, 4, 3, 3, 1, 1, 4, 3, 1, 0, 3, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 3, 2, 1, 4, 2, 0, 3, 2, 0, 4, 3, 3, 2, 0, 2, 4, 0, 0, 2, 3, 3, 3, 2, 1, 1, 3, 3, 0, 3, 3, 2, 3, 1, 1, 3]
pubkeycol1172 = [1, 3, 4, 0, 3, 0, 2, 2, 1, 2, 4, 2, 0, 4, 0, 4, 3, 2, 0, 1, 0, 1, 3, 0, 3, 2, 1, 4, 0, 0, 0, 3, 4, 1, 4, 4, 1, 2, 3, 3, 4, 1, 4, 1, 2, 1, 2, 2, 4, 2, 0, 2, 4, 2, 0, 4, 3, 2, 2, 3, 0, 4, 0, 1, 2, 4, 4, 4, 2, 2, 1, 2, 3, 0, 1, 4, 0, 4, 3, 3, 1, 1, 4, 3, 0, 2, 1, 0, 3, 3, 4, 4, 3, 4, 0, 3, 1, 3, 4, 1, 0, 2, 0, 3, 2, 1, 3, 0, 4, 2, 2, 2, 4, 3, 0, 3, 3, 4, 4, 3, 4, 1, 3, 0, 4, 2, 4, 1, 3, 2, 0, 4, 3, 1, 4, 4, 3, 3, 2, 0, 0, 1, 3, 1, 3, 4, 2, 4, 4, 3, 1, 0, 1, 3, 3, 2, 3, 1, 4, 1, 3, 3, 4, 4, 3, 3, 0, 4, 3, 0, 3, 0, 4, 3, 2, 1, 2, 4, 0, 1, 3, 4, 2, 2, 1, 2, 2, 0, 2, 4, 1, 1, 3, 3, 3, 1, 3, 4, 0, 4, 3, 2, 4, 1, 2, 3, 3, 1, 1, 0, 2, 3, 0, 2, 2, 3, 0, 1, 2, 3, 4, 4, 2, 0, 4, 2, 2, 2, 2, 3, 3, 2, 4, 2, 4, 2, 1, 2, 2, 4, 3, 3, 2, 0, 4, 0, 0, 4, 0, 0, 0, 3, 4, 3, 1, 0, 3, 0, 1, 2, 4, 0, 3, 3, 3, 0, 0, 1, 3, 4, 2, 1, 1, 0, 3, 1, 3, 4, 1, 1, 1, 1, 0, 2, 2, 2, 3, 1, 1, 3, 2, 3, 4, 4, 4, 0, 1, 0, 3, 3, 4, 4, 1, 0, 0, 3, 0, 2, 0, 3, 4, 1, 1, 0, 2, 0, 2, 3, 2, 0, 3, 1, 1, 2, 4, 1, 3, 4, 4, 0, 2, 1, 0, 4, 0, 3, 3, 4, 4, 3, 0, 1, 4, 1, 4, 0, 3, 4, 0, 1, 1, 1, 4, 3, 2, 4, 3, 3, 1, 4, 3, 0, 4, 4, 0, 4, 4, 2, 0, 1, 3, 4, 0, 2, 3, 1, 3, 3, 1, 0, 3, 2, 2, 1, 0, 1, 2, 3, 3, 0, 4, 0, 0, 1, 3, 4, 0, 2, 1, 3, 4, 3, 1, 2, 2, 1, 3, 1, 2, 4, 1, 0, 1, 3, 1, 1, 3, 1, 3, 2, 4, 4, 0, 0, 2, 0, 0, 3, 4, 0, 4, 0, 0, 1, 3, 3, 2, 3, 1, 3, 3, 1, 3, 0, 1, 1, 2, 2, 0, 2, 1, 3, 2, 1, 2, 4, 0, 4, 2, 2, 2, 1, 0, 0, 0, 4, 2, 4, 2, 3, 1, 2, 2, 0, 4, 3, 1, 3, 2, 4, 4, 3, 3, 1, 1, 0, 3, 2, 4, 0, 0, 1, 4, 1, 1, 3, 0, 4, 1, 3, 3, 0, 2, 1, 0]
pubkeycol1173 = [1, 4, 1, 4, 4, 2, 0, 4, 0, 3, 4, 0, 1, 0, 0, 1, 1, 1, 2, 4, 2, 3, 1, 2, 2, 4, 0, 4, 0, 2, 3, 4, 2, 1, 0, 3, 3, 3, 1, 4, 0, 0, 4, 3, 4, 1, 0, 0, 4, 3, 0, 0, 3, 3, 3, 0, 3, 1, 3, 2, 2, 4, 0, 3, 3, 2, 3, 0, 0, 0, 4, 3, 3, 1, 4, 3, 3, 0, 1, 0, 0, 4, 1, 4, 4, 4, 2, 4, 2, 2, 3, 1, 2, 3, 1, 4, 3, 0, 0, 2, 1, 4, 4, 0, 4, 1, 2, 0, 2, 4, 1, 1, 0, 4, 3, 2, 3, 0, 3, 0, 2, 4, 3, 1, 4, 0, 3, 3, 3, 4, 2, 2, 0, 2, 1, 4, 0, 4, 2, 0, 3, 0, 3, 1, 0, 3, 4, 1, 0, 3, 3, 1, 4, 4, 1, 3, 2, 2, 0, 4, 0, 3, 4, 0, 0, 1, 0, 0, 0, 3, 1, 0, 4, 3, 4, 1, 1, 2, 1, 0, 3, 1, 3, 1, 0, 3, 1, 0, 1, 0, 0, 0, 3, 2, 0, 0, 1, 3, 3, 0, 2, 0, 1, 1, 4, 0, 2, 1, 2, 3, 2, 0, 4, 3, 3, 4, 1, 0, 1, 3, 1, 0, 1, 4, 2, 3, 3, 0, 3, 1, 4, 3, 0, 4, 2, 3, 0, 4, 1, 1, 3, 3, 0, 4, 4, 3, 3, 0, 1, 2, 3, 2, 3, 0, 1, 1, 2, 2, 4, 4, 3, 3, 3, 4, 0, 4, 4, 3, 0, 2, 0, 0, 1, 0, 1, 3, 3, 0, 2, 3, 1, 2, 3, 1, 0, 4, 0, 0, 4, 0, 0, 1, 0, 2, 0, 3, 4, 2, 0, 1, 0, 1, 2, 1, 2, 0, 3, 2, 0, 3, 4, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 4, 4, 4, 3, 3, 0, 4, 0, 2, 0, 2, 3, 1, 3, 4, 2, 1, 4, 3, 2, 2, 0, 3, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 4, 3, 1, 2, 3, 3, 2, 2, 4, 2, 0, 4, 1, 4, 4, 2, 0, 4, 0, 4, 1, 3, 0, 1, 3, 1, 4, 4, 0, 1, 3, 3, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 3, 2, 1, 4, 2, 0, 3, 3, 0, 4, 1, 1, 2, 1, 3, 3, 3, 2, 4, 1, 2, 3, 3, 3, 1, 2, 2, 2, 1, 2, 3, 2, 2, 2, 4, 4, 2, 3, 1, 0, 4, 3, 3, 1, 1, 1, 2, 4, 4, 3, 2, 1, 4, 1, 3, 1, 3, 4, 4, 4, 2, 0, 1, 1, 2, 2, 1, 4, 3, 4, 1, 2, 2, 3, 0, 1, 3, 0, 4, 3, 1, 3, 2, 1, 1, 0, 4, 4, 4, 2, 2, 1, 3, 1, 2, 1, 2, 4, 0, 0, 4, 4, 2, 2, 1, 1, 3]
pubkeycol1174 = [2, 0, 0, 2, 4, 1, 3, 1, 1, 2, 3, 3, 1, 4, 1, 2, 3, 4, 0, 1, 0, 0, 2, 4, 1, 3, 0, 0, 0, 0, 4, 3, 0, 1, 3, 2, 1, 2, 1, 3, 1, 0, 4, 2, 1, 4, 3, 2, 1, 0, 3, 1, 1, 4, 0, 4, 2, 2, 4, 1, 0, 2, 4, 3, 0, 3, 4, 3, 0, 0, 0, 2, 0, 0, 3, 2, 1, 0, 1, 3, 1, 4, 0, 0, 1, 3, 2, 2, 3, 4, 1, 3, 1, 4, 3, 1, 2, 1, 4, 3, 1, 1, 4, 1, 2, 1, 0, 3, 4, 2, 1, 1, 0, 4, 2, 3, 2, 2, 3, 1, 0, 2, 4, 0, 2, 1, 1, 3, 0, 2, 4, 4, 3, 3, 2, 4, 1, 2, 0, 2, 1, 4, 1, 2, 0, 3, 3, 3, 3, 1, 0, 0, 2, 3, 2, 0, 1, 0, 1, 2, 3, 0, 2, 0, 3, 4, 0, 1, 2, 0, 4, 4, 2, 3, 2, 4, 0, 1, 2, 0, 0, 4, 2, 0, 3, 1, 2, 3, 1, 4, 1, 3, 1, 4, 4, 1, 4, 3, 0, 2, 0, 1, 1, 0, 0, 0, 3, 1, 0, 3, 3, 4, 3, 3, 3, 1, 4, 4, 3, 1, 0, 3, 1, 0, 1, 0, 1, 3, 4, 0, 2, 1, 3, 1, 0, 4, 0, 3, 1, 3, 1, 0, 2, 0, 4, 1, 4, 0, 0, 3, 2, 2, 1, 1, 2, 3, 1, 4, 0, 2, 4, 0, 2, 3, 0, 3, 3, 4, 2, 1, 4, 2, 1, 4, 3, 1, 3, 4, 4, 1, 0, 2, 1, 0, 0, 3, 3, 4, 3, 3, 4, 2, 2, 2, 3, 4, 0, 3, 3, 1, 0, 3, 0, 1, 2, 2, 4, 4, 0, 2, 4, 1, 3, 1, 4, 0, 3, 0, 1, 1, 3, 0, 3, 4, 2, 3, 3, 1, 3, 2, 0, 0, 4, 1, 1, 1, 2, 2, 0, 4, 4, 1, 4, 4, 1, 2, 2, 2, 0, 0, 1, 1, 2, 3, 4, 2, 3, 2, 0, 4, 1, 2, 3, 2, 3, 3, 3, 1, 4, 1, 3, 3, 2, 0, 0, 4, 2, 1, 1, 4, 1, 2, 2, 3, 4, 4, 2, 0, 3, 2, 0, 0, 4, 2, 2, 1, 0, 4, 4, 2, 1, 0, 1, 2, 1, 3, 1, 0, 0, 1, 2, 4, 4, 3, 2, 1, 0, 3, 1, 4, 0, 1, 4, 2, 0, 2, 2, 0, 2, 1, 0, 0, 3, 0, 4, 3, 2, 0, 1, 1, 4, 1, 0, 1, 2, 2, 3, 1, 2, 0, 3, 1, 2, 4, 1, 3, 3, 3, 4, 3, 2, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 2, 2, 3, 3, 0, 2, 3, 1, 3, 3, 0, 3, 3, 4, 0, 3, 2, 1, 0, 0, 1, 2, 3, 0, 0, 1, 0, 4, 3, 3, 4, 3, 3, 1]
pubkeycol1175 = [3, 0, 2, 0, 3, 4, 4, 1, 2, 3, 4, 1, 0, 3, 2, 3, 0, 1, 1, 1, 3, 0, 0, 3, 0, 1, 1, 4, 0, 4, 4, 3, 2, 1, 2, 3, 4, 0, 3, 2, 1, 1, 4, 2, 3, 1, 2, 4, 1, 0, 0, 2, 4, 1, 2, 0, 0, 4, 2, 1, 4, 0, 1, 4, 3, 4, 3, 4, 3, 1, 4, 4, 2, 2, 2, 4, 0, 1, 4, 0, 1, 3, 0, 2, 2, 2, 4, 3, 0, 2, 0, 1, 1, 0, 1, 4, 2, 1, 2, 0, 2, 3, 0, 0, 0, 2, 0, 1, 2, 0, 2, 4, 1, 0, 0, 2, 3, 4, 1, 1, 4, 2, 3, 1, 4, 1, 2, 4, 4, 3, 2, 3, 3, 4, 1, 0, 3, 4, 4, 4, 1, 2, 0, 0, 4, 2, 3, 2, 0, 2, 3, 4, 2, 1, 3, 3, 3, 2, 3, 4, 1, 1, 3, 4, 1, 2, 3, 4, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 4, 2, 1, 4, 3, 4, 2, 1, 3, 1, 2, 3, 0, 4, 4, 1, 4, 0, 1, 0, 2, 3, 0, 0, 0, 4, 2, 3, 2, 3, 0, 2, 2, 2, 0, 3, 2, 0, 3, 4, 2, 3, 0, 0, 3, 0, 2, 1, 3, 2, 2, 4, 2, 3, 4, 3, 3, 3, 4, 2, 2, 2, 0, 0, 2, 2, 4, 0, 3, 2, 3, 2, 3, 4, 1, 2, 0, 0, 4, 1, 0, 4, 4, 3, 1, 4, 4, 0, 4, 0, 4, 1, 0, 1, 1, 1, 1, 4, 3, 3, 0, 3, 3, 2, 4, 4, 1, 4, 2, 1, 1, 4, 0, 2, 3, 1, 2, 3, 1, 2, 2, 4, 4, 0, 3, 2, 3, 2, 0, 0, 1, 4, 0, 2, 0, 4, 1, 2, 3, 0, 2, 0, 3, 4, 0, 0, 2, 2, 3, 0, 4, 1, 2, 4, 2, 1, 1, 3, 1, 3, 2, 2, 0, 3, 2, 2, 2, 2, 1, 0, 3, 3, 4, 3, 3, 1, 4, 4, 2, 0, 1, 2, 1, 3, 3, 0, 1, 0, 3, 2, 2, 3, 2, 4, 1, 3, 3, 0, 2, 1, 4, 1, 4, 3, 3, 0, 2, 3, 2, 0, 4, 0, 1, 4, 3, 1, 0, 3, 2, 4, 3, 1, 2, 1, 4, 1, 1, 0, 1, 2, 0, 1, 1, 4, 3, 2, 3, 1, 2, 2, 2, 3, 2, 0, 3, 4, 3, 0, 3, 2, 1, 2, 3, 4, 0, 3, 2, 3, 2, 1, 0, 0, 2, 1, 3, 2, 4, 2, 2, 0, 4, 4, 0, 3, 1, 0, 4, 4, 0, 3, 1, 3, 0, 3, 1, 3, 0, 0, 1, 1, 3, 3, 4, 4, 2, 1, 0, 1, 3, 0, 3, 3, 2, 2, 4, 0, 4, 1, 2, 4, 4, 3, 3, 2, 2, 3, 1, 2, 2, 2, 0, 2, 3, 0, 4, 1, 2]
pubkeycol1176 = [4, 0, 4, 3, 1, 1, 1, 3, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 3, 3, 1, 0, 2, 1, 3, 4, 4, 2, 0, 1, 1, 2, 3, 0, 3, 2, 3, 3, 1, 1, 1, 3, 3, 3, 2, 2, 3, 1, 2, 1, 1, 3, 3, 0, 3, 3, 2, 3, 0, 1, 2, 0, 3, 3, 1, 0, 4, 3, 2, 2, 3, 3, 0, 0, 0, 0, 0, 4, 2, 0, 0, 4, 0, 4, 1, 4, 2, 1, 1, 3, 0, 1, 4, 2, 3, 0, 4, 4, 0, 1, 0, 2, 4, 2, 4, 0, 3, 3, 3, 4, 4, 3, 0, 3, 4, 2, 3, 1, 0, 2, 3, 3, 0, 2, 0, 1, 2, 4, 2, 4, 3, 3, 0, 0, 4, 1, 0, 2, 4, 3, 3, 0, 3, 2, 1, 2, 0, 0, 3, 3, 4, 2, 0, 3, 0, 1, 3, 3, 2, 4, 3, 4, 0, 2, 3, 4, 2, 0, 1, 4, 4, 0, 2, 3, 4, 2, 4, 3, 4, 0, 2, 2, 0, 3, 4, 0, 0, 4, 0, 1, 4, 3, 1, 2, 1, 3, 4, 4, 3, 3, 2, 4, 4, 1, 2, 4, 3, 0, 1, 1, 4, 0, 0, 3, 0, 2, 2, 0, 2, 3, 0, 2, 4, 1, 1, 2, 0, 1, 1, 0, 4, 4, 3, 2, 2, 4, 2, 4, 4, 2, 3, 3, 4, 4, 0, 0, 0, 2, 0, 4, 4, 3, 1, 4, 0, 3, 4, 0, 2, 2, 2, 1, 4, 4, 3, 1, 4, 4, 0, 3, 3, 4, 4, 0, 3, 0, 1, 4, 3, 3, 3, 4, 0, 4, 1, 0, 2, 2, 4, 0, 2, 2, 1, 4, 4, 4, 3, 2, 4, 0, 2, 3, 1, 2, 0, 1, 4, 0, 3, 3, 3, 0, 4, 3, 3, 0, 0, 1, 2, 0, 4, 0, 4, 4, 0, 0, 2, 4, 1, 4, 3, 3, 4, 4, 1, 0, 0, 4, 1, 1, 0, 4, 2, 0, 3, 0, 3, 3, 3, 4, 1, 0, 3, 3, 2, 1, 1, 4, 0, 0, 3, 3, 0, 3, 2, 1, 2, 2, 3, 3, 4, 1, 3, 4, 1, 4, 1, 0, 2, 0, 3, 1, 4, 0, 3, 4, 1, 2, 4, 1, 4, 2, 3, 0, 0, 1, 0, 0, 1, 4, 2, 4, 4, 4, 0, 0, 0, 2, 1, 2, 4, 0, 1, 4, 2, 1, 3, 3, 0, 2, 0, 3, 3, 0, 3, 0, 4, 2, 4, 4, 2, 3, 2, 1, 1, 2, 0, 3, 2, 3, 2, 1, 0, 4, 3, 2, 0, 4, 3, 4, 2, 3, 2, 3, 4, 2, 2, 4, 2, 4, 0, 2, 1, 3, 1, 4, 3, 1, 3, 4, 2, 1, 1, 2, 1, 3, 2, 3, 4, 0, 4, 2, 1, 4, 2, 2, 0, 2, 0, 2, 2, 0, 0, 4, 1, 0, 1, 2, 1, 4, 2, 1, 3, 3, 1]
pubkeycol1177 = [2, 1, 2, 2, 4, 0, 1, 2, 4, 2, 0, 3, 0, 3, 1, 0, 2, 3, 3, 4, 0, 3, 2, 0, 0, 4, 2, 3, 3, 3, 0, 0, 4, 4, 4, 2, 4, 1, 2, 3, 0, 4, 0, 4, 3, 4, 2, 0, 1, 1, 2, 3, 1, 3, 2, 0, 4, 4, 1, 4, 0, 2, 3, 3, 2, 0, 2, 2, 0, 2, 4, 0, 1, 1, 0, 4, 2, 2, 0, 4, 4, 1, 1, 2, 2, 4, 0, 1, 0, 4, 4, 1, 3, 1, 4, 2, 2, 4, 2, 2, 1, 0, 1, 3, 1, 2, 1, 3, 0, 0, 2, 4, 2, 3, 1, 0, 1, 3, 4, 3, 3, 1, 2, 4, 0, 2, 2, 1, 4, 0, 2, 0, 1, 1, 3, 3, 1, 0, 1, 1, 3, 2, 1, 1, 1, 2, 2, 3, 4, 1, 4, 4, 4, 0, 4, 0, 4, 2, 0, 2, 1, 1, 2, 2, 3, 2, 0, 3, 3, 3, 4, 2, 1, 4, 0, 1, 1, 4, 2, 4, 2, 3, 2, 0, 0, 0, 2, 0, 3, 1, 4, 1, 2, 4, 4, 3, 3, 1, 2, 4, 3, 4, 1, 1, 4, 3, 1, 0, 4, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 4, 1, 2, 3, 1, 2, 3, 1, 3, 4, 2, 3, 0, 0, 0, 1, 3, 4, 4, 0, 2, 2, 2, 1, 0, 2, 2, 2, 3, 3, 0, 1, 0, 2, 0, 3, 2, 1, 4, 4, 3, 2, 3, 1, 2, 1, 0, 3, 2, 1, 2, 1, 4, 3, 1, 0, 1, 1, 4, 2, 1, 2, 0, 1, 4, 4, 3, 3, 4, 1, 4, 4, 4, 4, 1, 2, 3, 1, 4, 3, 3, 2, 4, 0, 3, 1, 2, 3, 4, 0, 1, 4, 0, 3, 2, 0, 1, 4, 4, 1, 2, 1, 0, 2, 4, 1, 0, 4, 0, 1, 0, 4, 1, 2, 3, 1, 4, 4, 0, 1, 2, 0, 3, 0, 2, 2, 2, 3, 4, 2, 2, 4, 0, 3, 3, 2, 0, 2, 3, 1, 2, 4, 2, 1, 1, 2, 0, 3, 2, 4, 3, 1, 1, 2, 0, 1, 4, 0, 3, 3, 1, 3, 2, 2, 1, 2, 4, 0, 1, 1, 1, 3, 0, 2, 1, 2, 3, 1, 4, 3, 3, 4, 0, 2, 1, 3, 0, 1, 1, 2, 2, 3, 3, 4, 4, 1, 1, 4, 4, 4, 4, 3, 2, 3, 4, 0, 3, 1, 4, 3, 4, 3, 2, 0, 2, 0, 3, 3, 0, 0, 3, 4, 4, 2, 2, 2, 4, 4, 3, 4, 0, 1, 2, 4, 0, 3, 0, 1, 4, 0, 0, 4, 4, 0, 0, 0, 2, 4, 2, 3, 0, 1, 4, 3, 3, 2, 0, 4, 2, 0, 3, 0, 1, 4, 0, 1, 1, 2, 2, 3, 1, 2, 4, 2, 3, 2, 3, 0, 2, 4, 0, 0, 2]
pubkeycol1178 = [0, 4, 0, 3, 3, 4, 4, 0, 4, 2, 0, 1, 4, 2, 1, 3, 0, 4, 3, 3, 4, 0, 4, 2, 1, 4, 2, 1, 2, 0, 1, 3, 0, 0, 4, 2, 3, 1, 4, 1, 4, 4, 4, 0, 2, 0, 1, 0, 2, 4, 1, 1, 0, 4, 2, 0, 1, 0, 1, 0, 2, 4, 4, 1, 0, 2, 4, 1, 1, 4, 1, 0, 1, 3, 2, 4, 3, 0, 0, 1, 0, 2, 2, 3, 0, 2, 3, 4, 3, 4, 3, 0, 3, 2, 4, 3, 0, 1, 2, 3, 3, 1, 3, 1, 3, 4, 1, 3, 0, 2, 3, 1, 2, 0, 4, 0, 0, 3, 0, 3, 4, 2, 1, 3, 1, 0, 1, 2, 1, 4, 2, 0, 0, 3, 0, 1, 3, 3, 1, 4, 0, 1, 3, 1, 4, 1, 0, 2, 4, 1, 4, 0, 4, 2, 2, 3, 3, 2, 1, 4, 4, 4, 4, 0, 2, 0, 1, 2, 3, 3, 1, 0, 4, 0, 0, 3, 4, 2, 2, 1, 0, 0, 0, 2, 3, 3, 2, 3, 3, 3, 1, 1, 2, 0, 3, 4, 4, 3, 1, 2, 1, 1, 0, 4, 1, 3, 1, 3, 0, 1, 2, 3, 1, 1, 2, 0, 4, 4, 0, 3, 1, 4, 4, 1, 3, 1, 2, 1, 2, 2, 0, 0, 4, 4, 3, 2, 0, 2, 3, 3, 1, 0, 0, 3, 4, 1, 1, 4, 3, 0, 0, 2, 1, 1, 1, 4, 4, 3, 1, 4, 4, 0, 0, 0, 2, 4, 1, 0, 3, 1, 0, 3, 2, 1, 2, 4, 2, 2, 4, 3, 2, 0, 3, 1, 1, 2, 1, 4, 1, 2, 4, 3, 2, 3, 2, 3, 0, 0, 1, 3, 1, 0, 1, 0, 1, 0, 3, 3, 0, 4, 0, 0, 0, 1, 4, 4, 1, 3, 3, 1, 3, 4, 4, 2, 3, 2, 3, 4, 2, 3, 2, 1, 3, 4, 3, 3, 0, 1, 2, 0, 4, 3, 2, 3, 3, 3, 4, 3, 3, 1, 4, 0, 1, 4, 1, 4, 4, 2, 0, 1, 2, 3, 3, 1, 2, 2, 1, 1, 2, 1, 3, 3, 3, 0, 1, 3, 3, 2, 0, 4, 4, 4, 3, 2, 0, 0, 2, 4, 1, 0, 0, 3, 4, 0, 0, 3, 0, 1, 1, 0, 2, 0, 4, 1, 4, 4, 2, 0, 3, 1, 3, 4, 0, 4, 1, 4, 3, 3, 0, 0, 4, 4, 3, 2, 2, 4, 2, 4, 1, 4, 0, 3, 4, 3, 2, 0, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 4, 0, 2, 3, 1, 0, 3, 3, 4, 4, 1, 4, 1, 0, 0, 3, 0, 2, 1, 1, 3, 4, 4, 0, 4, 1, 3, 2, 0, 0, 3, 0, 4, 3, 1, 4, 1, 3, 3, 2, 4, 4, 3, 0, 0, 0, 3, 4, 3, 3, 3, 0, 0, 4, 4, 1, 4, 1, 4]
pubkeycol1179 = [4, 4, 2, 3, 1, 0, 4, 4, 0, 1, 2, 0, 0, 1, 2, 1, 3, 0, 2, 1, 0, 1, 4, 4, 2, 4, 1, 2, 0, 2, 2, 4, 2, 0, 4, 1, 3, 4, 4, 2, 4, 0, 2, 1, 4, 1, 2, 0, 4, 2, 3, 2, 1, 2, 0, 0, 4, 4, 0, 0, 3, 2, 1, 4, 4, 3, 3, 0, 1, 3, 0, 0, 4, 4, 1, 1, 1, 1, 1, 0, 4, 1, 1, 0, 0, 1, 0, 4, 3, 3, 2, 0, 4, 2, 3, 2, 4, 4, 3, 0, 4, 0, 2, 4, 0, 4, 1, 1, 3, 2, 4, 4, 3, 1, 1, 1, 0, 1, 0, 4, 3, 0, 4, 0, 4, 0, 0, 2, 4, 1, 1, 3, 4, 0, 2, 0, 2, 3, 4, 0, 3, 3, 0, 3, 3, 3, 1, 1, 0, 0, 0, 1, 4, 4, 2, 0, 4, 2, 1, 2, 4, 4, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 4, 4, 3, 0, 4, 1, 4, 2, 4, 0, 2, 4, 1, 4, 0, 4, 4, 3, 3, 1, 2, 3, 3, 4, 3, 0, 3, 3, 3, 4, 4, 3, 2, 1, 0, 4, 1, 2, 3, 2, 3, 0, 0, 0, 4, 1, 3, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 3, 0, 0, 2, 0, 0, 2, 3, 4, 3, 4, 3, 2, 3, 2, 1, 2, 4, 2, 3, 4, 4, 3, 0, 4, 4, 3, 3, 1, 0, 3, 4, 3, 4, 2, 0, 1, 1, 2, 2, 0, 3, 0, 4, 3, 0, 1, 4, 4, 4, 0, 1, 4, 2, 1, 0, 0, 2, 1, 1, 3, 3, 4, 0, 0, 1, 1, 2, 4, 3, 2, 0, 4, 4, 1, 3, 2, 2, 3, 1, 3, 2, 2, 4, 0, 3, 3, 3, 3, 0, 1, 3, 1, 1, 2, 0, 0, 3, 3, 2, 0, 1, 3, 3, 2, 0, 1, 4, 2, 0, 4, 3, 4, 3, 3, 4, 1, 3, 2, 0, 0, 3, 3, 0, 3, 1, 4, 2, 2, 2, 4, 4, 0, 3, 2, 4, 3, 3, 1, 1, 0, 3, 3, 1, 3, 4, 2, 0, 3, 4, 3, 0, 3, 4, 0, 1, 0, 1, 0, 3, 4, 2, 3, 3, 4, 2, 3, 2, 4, 2, 4, 0, 4, 3, 4, 0, 0, 0, 3, 3, 3, 2, 0, 3, 0, 3, 1, 0, 0, 2, 3, 2, 1, 3, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 4, 3, 1, 2, 2, 2, 3, 2, 3, 4, 1, 3, 3, 0, 4, 3, 0, 2, 4, 1, 4, 2, 2, 0, 2, 2, 2, 4, 0, 4, 3, 1, 4, 0, 4, 1, 1, 1, 1, 4, 2, 2, 2, 3, 2, 1, 2, 4, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 4, 0, 0, 2, 0, 3, 2, 3, 0, 1, 2, 3]
pubkeycol1180 = [3, 2, 1, 4, 2, 2, 2, 3, 4, 4, 0, 3, 4, 4, 3, 3, 1, 1, 0, 0, 3, 3, 2, 3, 4, 1, 0, 3, 1, 4, 2, 1, 2, 1, 0, 3, 3, 1, 2, 4, 0, 2, 2, 2, 3, 3, 2, 4, 1, 1, 1, 2, 4, 4, 2, 2, 4, 2, 0, 1, 1, 3, 3, 3, 2, 2, 4, 2, 3, 4, 4, 2, 1, 1, 1, 3, 2, 4, 2, 2, 2, 3, 0, 4, 4, 4, 3, 1, 4, 4, 3, 0, 3, 1, 4, 0, 4, 3, 1, 4, 4, 3, 2, 1, 0, 0, 3, 1, 0, 3, 2, 2, 1, 2, 4, 0, 3, 3, 4, 0, 4, 0, 2, 3, 4, 1, 0, 0, 2, 2, 4, 3, 2, 0, 0, 4, 1, 3, 3, 0, 4, 2, 1, 0, 0, 0, 2, 4, 1, 2, 1, 0, 4, 4, 0, 1, 2, 4, 1, 1, 2, 4, 2, 0, 3, 1, 4, 3, 1, 2, 0, 0, 0, 0, 3, 3, 0, 1, 4, 1, 4, 4, 0, 4, 3, 3, 3, 3, 4, 4, 1, 1, 2, 3, 3, 0, 4, 2, 1, 3, 3, 3, 4, 4, 2, 0, 4, 0, 2, 1, 1, 1, 0, 4, 2, 3, 4, 2, 2, 1, 4, 3, 0, 1, 4, 1, 4, 3, 1, 3, 0, 4, 2, 4, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 3, 1, 0, 2, 0, 1, 0, 2, 4, 0, 2, 0, 0, 3, 4, 1, 1, 0, 1, 0, 3, 2, 0, 0, 2, 2, 0, 2, 1, 2, 3, 2, 0, 2, 2, 2, 3, 0, 3, 4, 0, 1, 4, 4, 3, 0, 4, 2, 3, 0, 0, 1, 3, 1, 3, 3, 2, 4, 3, 0, 1, 4, 3, 1, 0, 1, 2, 4, 3, 3, 4, 1, 1, 1, 1, 4, 3, 1, 2, 1, 2, 1, 2, 2, 1, 3, 2, 2, 2, 1, 1, 4, 2, 2, 2, 0, 4, 1, 4, 1, 1, 0, 4, 4, 4, 0, 3, 2, 3, 2, 2, 3, 0, 4, 4, 2, 2, 0, 1, 3, 1, 4, 0, 3, 1, 3, 1, 3, 4, 2, 1, 2, 3, 2, 3, 4, 3, 4, 2, 3, 4, 0, 0, 3, 4, 3, 0, 0, 3, 1, 4, 0, 2, 4, 4, 2, 4, 1, 1, 2, 4, 1, 2, 0, 1, 2, 1, 0, 4, 1, 0, 2, 4, 3, 0, 1, 1, 3, 0, 3, 1, 3, 3, 0, 2, 1, 1, 0, 1, 3, 0, 4, 4, 4, 4, 4, 2, 3, 3, 1, 3, 2, 3, 4, 3, 1, 1, 2, 4, 0, 4, 4, 2, 1, 3, 1, 0, 0, 2, 4, 1, 3, 0, 2, 0, 0, 1, 4, 0, 4, 3, 1, 1, 2, 2, 2, 3, 1, 2, 4, 3, 3, 0, 2, 2, 4, 4, 3, 0, 0, 4, 2, 3, 0, 0, 3, 4, 2, 0, 3]
pubkeycol1181 = [1, 1, 0, 4, 4, 4, 0, 3, 0, 0, 0, 1, 0, 2, 0, 1, 3, 3, 4, 3, 4, 3, 1, 3, 0, 0, 2, 2, 4, 4, 0, 1, 1, 4, 0, 2, 3, 4, 1, 4, 3, 3, 2, 4, 1, 4, 0, 0, 1, 0, 4, 3, 1, 2, 2, 4, 3, 3, 2, 4, 3, 4, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 4, 4, 4, 2, 3, 3, 4, 1, 4, 4, 1, 0, 0, 4, 3, 1, 2, 2, 3, 1, 1, 4, 2, 2, 0, 1, 0, 1, 3, 4, 4, 3, 0, 3, 2, 3, 1, 4, 3, 0, 3, 2, 3, 1, 3, 3, 2, 2, 1, 2, 3, 0, 3, 4, 3, 1, 0, 3, 1, 1, 1, 2, 4, 3, 3, 2, 1, 1, 2, 2, 3, 3, 3, 0, 4, 1, 4, 1, 3, 2, 3, 2, 0, 1, 4, 3, 0, 1, 2, 4, 0, 4, 4, 0, 4, 1, 1, 2, 4, 1, 2, 3, 0, 3, 3, 2, 3, 3, 0, 4, 4, 3, 2, 2, 0, 4, 3, 1, 2, 4, 3, 0, 4, 1, 1, 1, 4, 4, 0, 4, 1, 2, 3, 1, 3, 1, 1, 0, 2, 3, 0, 0, 2, 2, 0, 3, 1, 0, 3, 0, 0, 2, 3, 2, 3, 3, 3, 0, 2, 4, 4, 0, 0, 3, 3, 1, 3, 2, 2, 1, 2, 0, 2, 3, 4, 4, 1, 4, 3, 0, 2, 3, 1, 3, 3, 1, 0, 0, 4, 1, 2, 4, 3, 2, 3, 3, 2, 1, 2, 3, 2, 3, 2, 2, 1, 3, 4, 3, 0, 0, 2, 1, 2, 1, 1, 1, 1, 3, 0, 3, 0, 4, 0, 4, 0, 0, 2, 0, 0, 3, 2, 4, 3, 1, 1, 2, 4, 0, 0, 4, 0, 1, 1, 1, 3, 3, 4, 3, 1, 4, 2, 3, 4, 2, 2, 3, 4, 3, 1, 3, 4, 1, 0, 1, 4, 0, 4, 3, 2, 3, 2, 3, 1, 1, 0, 2, 2, 1, 3, 4, 0, 2, 2, 4, 2, 3, 1, 4, 1, 0, 3, 2, 4, 0, 4, 0, 0, 0, 3, 2, 4, 4, 2, 4, 3, 1, 3, 1, 0, 0, 3, 1, 4, 0, 0, 2, 0, 3, 4, 1, 2, 2, 1, 0, 3, 0, 4, 1, 3, 3, 0, 2, 4, 3, 1, 2, 0, 2, 4, 2, 4, 1, 1, 4, 1, 1, 2, 0, 4, 2, 2, 0, 2, 3, 4, 0, 0, 1, 4, 1, 4, 1, 3, 0, 4, 3, 4, 4, 4, 0, 1, 0, 3, 4, 1, 3, 1, 1, 0, 3, 4, 2, 2, 3, 3, 4, 3, 3, 0, 0, 2, 0, 0, 1, 0, 3, 3, 3, 3, 4, 4, 1, 3, 3, 4, 0, 2, 3, 3, 4, 2, 2, 1, 0, 4, 0, 2, 0, 0, 2, 3, 2, 0, 1, 1, 1, 0, 1, 4, 3, 1, 2, 0]
pubkeycol1182 = [4, 2, 4, 2, 4, 3, 2, 4, 2, 2, 4, 3, 1, 4, 1, 1, 1, 0, 1, 2, 4, 2, 1, 2, 1, 3, 4, 3, 1, 1, 4, 1, 2, 0, 0, 4, 4, 2, 0, 2, 1, 1, 4, 1, 3, 1, 3, 3, 1, 4, 4, 4, 0, 1, 4, 2, 4, 0, 4, 4, 2, 1, 4, 2, 1, 3, 3, 3, 3, 4, 2, 2, 4, 1, 1, 2, 4, 3, 3, 1, 0, 3, 2, 1, 3, 3, 2, 1, 2, 4, 2, 0, 3, 2, 4, 2, 3, 1, 2, 0, 3, 2, 4, 3, 4, 3, 1, 3, 1, 2, 1, 3, 2, 1, 3, 4, 3, 0, 4, 0, 2, 0, 2, 3, 4, 4, 0, 3, 1, 3, 1, 1, 4, 4, 0, 4, 0, 4, 2, 0, 2, 1, 1, 2, 1, 1, 2, 4, 2, 2, 2, 0, 4, 0, 0, 3, 1, 0, 4, 0, 4, 0, 2, 4, 1, 2, 0, 3, 2, 3, 1, 0, 3, 0, 0, 1, 4, 1, 0, 0, 0, 2, 2, 4, 2, 2, 2, 0, 1, 2, 3, 1, 1, 3, 4, 2, 3, 4, 4, 3, 0, 3, 0, 0, 1, 2, 4, 0, 2, 3, 3, 0, 1, 2, 3, 2, 4, 0, 1, 4, 4, 2, 4, 0, 1, 4, 4, 4, 0, 0, 0, 0, 3, 1, 4, 0, 0, 0, 0, 3, 1, 3, 4, 2, 1, 2, 3, 4, 1, 4, 0, 0, 2, 0, 2, 1, 3, 1, 0, 1, 3, 2, 3, 0, 3, 4, 0, 2, 1, 4, 3, 2, 2, 1, 0, 3, 1, 1, 2, 2, 1, 3, 3, 0, 0, 0, 2, 4, 4, 4, 0, 1, 1, 0, 0, 4, 0, 3, 2, 3, 4, 4, 0, 4, 3, 4, 0, 3, 2, 3, 1, 2, 2, 2, 0, 0, 2, 4, 3, 1, 4, 4, 3, 4, 2, 2, 3, 3, 4, 4, 3, 2, 2, 3, 3, 2, 2, 0, 0, 3, 4, 2, 3, 1, 0, 4, 2, 0, 1, 4, 2, 1, 3, 1, 4, 4, 3, 3, 0, 2, 3, 1, 4, 0, 1, 3, 0, 0, 0, 0, 2, 4, 2, 2, 0, 0, 3, 1, 1, 2, 1, 1, 1, 0, 1, 4, 1, 0, 2, 2, 0, 2, 2, 2, 4, 0, 2, 3, 2, 3, 4, 1, 4, 1, 2, 1, 4, 0, 4, 0, 0, 1, 3, 4, 1, 3, 4, 3, 4, 4, 4, 0, 1, 0, 4, 2, 4, 4, 3, 3, 3, 2, 3, 4, 2, 2, 4, 3, 1, 3, 4, 3, 2, 3, 3, 3, 4, 1, 2, 2, 2, 4, 1, 3, 4, 3, 4, 3, 0, 3, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 4, 0, 2, 1, 2, 1, 3, 0, 2, 0, 1, 3, 4, 2, 0, 3, 4, 0, 3, 4, 2, 3, 3, 4, 2, 4, 1, 4, 1, 4, 0, 0, 4, 2, 3]
pubkeycol1183 = [1, 4, 0, 2, 0, 4, 0, 4, 2, 3, 2, 4, 4, 2, 2, 3, 0, 2, 2, 2, 0, 0, 1, 3, 0, 3, 3, 3, 0, 2, 2, 3, 3, 4, 2, 3, 2, 4, 3, 2, 4, 4, 0, 0, 4, 1, 2, 0, 0, 3, 1, 0, 2, 4, 2, 3, 2, 3, 3, 4, 3, 3, 2, 1, 1, 0, 3, 1, 4, 0, 4, 2, 1, 1, 1, 0, 0, 4, 4, 2, 4, 1, 0, 3, 4, 2, 0, 4, 2, 4, 4, 4, 0, 3, 1, 4, 2, 4, 0, 3, 4, 1, 3, 2, 3, 2, 0, 4, 1, 0, 4, 1, 1, 0, 3, 1, 4, 2, 1, 1, 0, 2, 3, 3, 1, 1, 1, 0, 1, 3, 2, 2, 3, 2, 3, 3, 0, 3, 0, 3, 0, 1, 4, 3, 2, 2, 0, 4, 0, 4, 0, 1, 2, 0, 2, 4, 2, 0, 4, 0, 1, 4, 0, 0, 3, 1, 3, 4, 4, 4, 4, 3, 0, 1, 2, 2, 4, 1, 0, 0, 2, 3, 0, 2, 0, 0, 1, 1, 3, 2, 2, 1, 3, 1, 1, 1, 3, 2, 1, 2, 4, 0, 4, 3, 2, 4, 1, 3, 1, 1, 4, 3, 0, 4, 4, 1, 0, 1, 0, 1, 4, 3, 2, 3, 0, 3, 1, 3, 0, 4, 2, 2, 4, 3, 1, 3, 2, 3, 1, 0, 2, 4, 2, 2, 2, 3, 4, 2, 1, 0, 1, 3, 3, 3, 3, 1, 4, 2, 0, 1, 1, 4, 4, 2, 3, 2, 2, 2, 4, 3, 3, 3, 4, 2, 1, 3, 4, 2, 3, 3, 0, 1, 1, 4, 4, 3, 2, 2, 0, 0, 3, 3, 0, 3, 1, 0, 2, 2, 1, 0, 2, 3, 2, 0, 4, 2, 0, 1, 2, 2, 2, 2, 0, 0, 4, 2, 0, 2, 3, 1, 3, 0, 2, 3, 3, 3, 4, 1, 3, 4, 4, 0, 4, 0, 2, 0, 1, 1, 4, 0, 4, 0, 2, 4, 1, 2, 2, 0, 4, 4, 0, 3, 4, 4, 1, 1, 3, 2, 2, 1, 0, 2, 0, 4, 1, 2, 2, 2, 2, 0, 2, 3, 3, 4, 1, 3, 1, 4, 3, 4, 0, 4, 0, 2, 3, 1, 3, 1, 4, 4, 0, 3, 4, 0, 2, 0, 0, 2, 4, 1, 3, 0, 0, 3, 3, 1, 3, 2, 4, 0, 3, 1, 0, 1, 4, 2, 3, 0, 1, 4, 4, 1, 1, 0, 2, 2, 0, 1, 4, 3, 4, 4, 4, 1, 2, 4, 4, 0, 3, 1, 4, 1, 4, 4, 1, 0, 0, 3, 3, 0, 4, 4, 0, 3, 2, 1, 2, 3, 2, 4, 2, 3, 0, 1, 2, 1, 0, 1, 4, 0, 0, 1, 2, 2, 2, 4, 1, 3, 0, 4, 0, 0, 2, 3, 4, 1, 4, 1, 4, 1, 0, 4, 0, 2, 2, 4, 1, 0, 2, 4, 0, 1, 0, 1, 3]
pubkeycol1184 = [3, 4, 3, 4, 0, 0, 4, 4, 1, 3, 0, 1, 1, 2, 1, 0, 0, 4, 3, 2, 0, 3, 1, 2, 4, 3, 4, 2, 4, 4, 4, 1, 2, 1, 2, 4, 0, 2, 0, 2, 3, 4, 0, 2, 2, 0, 3, 4, 2, 0, 1, 3, 4, 0, 2, 0, 3, 1, 3, 2, 1, 4, 4, 1, 1, 1, 0, 4, 0, 4, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 4, 0, 0, 0, 1, 0, 0, 0, 1, 4, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 3, 1, 1, 3, 4, 3, 2, 2, 4, 3, 1, 3, 3, 1, 2, 2, 4, 1, 2, 3, 3, 1, 0, 0, 2, 2, 0, 0, 4, 3, 1, 2, 3, 1, 2, 1, 0, 1, 2, 4, 0, 3, 4, 3, 0, 4, 4, 4, 4, 4, 3, 1, 3, 0, 3, 4, 3, 3, 4, 2, 2, 1, 1, 2, 1, 1, 2, 4, 2, 1, 3, 4, 0, 1, 3, 3, 0, 0, 0, 0, 4, 0, 2, 0, 4, 0, 2, 2, 0, 0, 1, 4, 4, 2, 0, 4, 0, 3, 2, 2, 3, 1, 3, 2, 2, 1, 2, 2, 0, 2, 4, 0, 4, 2, 4, 2, 0, 3, 4, 1, 0, 0, 3, 4, 3, 0, 2, 0, 1, 2, 0, 3, 2, 4, 0, 0, 3, 3, 0, 3, 4, 2, 4, 3, 0, 4, 1, 4, 1, 3, 3, 4, 0, 4, 2, 0, 2, 4, 4, 4, 3, 3, 3, 4, 0, 4, 4, 1, 2, 1, 0, 2, 2, 4, 4, 2, 0, 4, 2, 1, 0, 2, 3, 2, 1, 4, 4, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 4, 4, 1, 1, 2, 4, 4, 0, 2, 0, 0, 1, 2, 1, 0, 2, 4, 4, 4, 4, 2, 1, 2, 1, 4, 2, 4, 4, 4, 2, 3, 3, 1, 0, 1, 1, 4, 4, 3, 3, 1, 4, 4, 4, 1, 3, 1, 1, 3, 3, 1, 4, 3, 2, 0, 4, 2, 3, 0, 0, 1, 1, 2, 3, 3, 1, 0, 4, 4, 2, 0, 3, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 4, 3, 1, 0, 3, 2, 2, 4, 0, 4, 4, 3, 1, 0, 3, 4, 3, 3, 0, 3, 1, 2, 4, 1, 2, 2, 4, 2, 0, 4, 4, 2, 2, 0, 4, 4, 3, 0, 0, 4, 4, 1, 4, 3, 2, 2, 4, 2, 4, 4, 2, 2, 0, 2, 3, 3, 2, 4, 4, 0, 2, 4, 4, 2, 3, 2, 4, 4, 2, 4, 2, 3, 4, 2, 1, 0, 3, 0, 2, 0, 1, 0, 0, 2, 2, 4, 3, 2, 1, 4, 3, 3, 4, 0, 0, 0, 4, 3, 4, 2, 0, 4, 0, 4, 3, 1, 3, 1, 1, 4, 1, 0, 2, 0, 2, 0, 2, 4, 1]
pubkeycol1185 = [3, 0, 4, 4, 2, 2, 0, 0, 2, 4, 0, 3, 3, 2, 3, 4, 3, 1, 4, 0, 3, 2, 1, 1, 3, 3, 2, 2, 2, 3, 4, 0, 0, 3, 0, 0, 0, 3, 3, 4, 1, 1, 3, 0, 0, 2, 3, 0, 0, 2, 3, 0, 4, 3, 3, 0, 2, 4, 1, 4, 1, 0, 4, 1, 1, 2, 3, 1, 0, 0, 0, 1, 4, 1, 4, 3, 2, 4, 3, 0, 0, 2, 1, 0, 3, 0, 1, 2, 1, 1, 2, 0, 4, 0, 3, 1, 2, 2, 4, 0, 4, 2, 3, 4, 0, 1, 0, 2, 2, 2, 0, 0, 3, 3, 1, 1, 4, 0, 3, 0, 2, 4, 1, 1, 3, 4, 1, 1, 1, 1, 2, 4, 3, 3, 0, 0, 4, 0, 3, 3, 2, 4, 1, 0, 3, 2, 0, 2, 3, 0, 3, 2, 2, 1, 1, 3, 4, 0, 0, 3, 1, 2, 2, 4, 4, 3, 2, 2, 3, 0, 3, 0, 4, 3, 4, 3, 0, 2, 4, 3, 3, 1, 4, 4, 2, 3, 0, 4, 4, 1, 0, 4, 0, 3, 2, 2, 3, 0, 0, 0, 4, 4, 0, 1, 0, 4, 0, 0, 0, 1, 1, 4, 4, 1, 1, 3, 1, 0, 4, 2, 3, 0, 4, 0, 1, 3, 3, 2, 1, 3, 3, 3, 1, 4, 1, 4, 0, 4, 1, 2, 3, 0, 3, 2, 2, 4, 0, 1, 2, 4, 0, 2, 4, 4, 1, 2, 3, 2, 1, 1, 3, 2, 0, 2, 0, 4, 3, 2, 4, 3, 1, 0, 2, 3, 0, 0, 3, 3, 3, 1, 4, 1, 0, 2, 1, 0, 1, 0, 2, 1, 3, 3, 4, 2, 0, 2, 2, 3, 1, 2, 0, 0, 3, 0, 0, 3, 1, 0, 1, 0, 2, 1, 0, 1, 1, 3, 3, 1, 3, 4, 0, 0, 4, 2, 4, 2, 2, 1, 4, 2, 0, 3, 0, 4, 3, 2, 0, 2, 0, 2, 0, 3, 0, 4, 4, 0, 3, 2, 0, 3, 3, 3, 0, 1, 1, 1, 3, 0, 2, 1, 1, 2, 4, 3, 0, 4, 3, 2, 1, 4, 2, 4, 2, 4, 4, 0, 2, 3, 1, 3, 3, 1, 1, 2, 1, 2, 2, 3, 0, 0, 2, 1, 2, 1, 1, 1, 0, 4, 1, 2, 3, 3, 4, 1, 2, 1, 4, 4, 4, 1, 4, 0, 2, 1, 2, 3, 4, 3, 1, 3, 3, 1, 4, 2, 1, 0, 3, 0, 3, 4, 1, 3, 2, 1, 4, 3, 3, 3, 0, 4, 0, 1, 3, 1, 2, 3, 1, 3, 1, 3, 1, 4, 0, 3, 3, 0, 0, 1, 0, 3, 0, 0, 2, 3, 4, 0, 2, 4, 3, 4, 4, 3, 3, 3, 0, 2, 0, 1, 1, 3, 4, 4, 4, 3, 3, 1, 1, 4, 2, 4, 3, 4, 2, 3, 1, 2, 2, 0, 3, 0, 4, 3, 4, 4, 4]
pubkeycol1186 = [3, 2, 0, 0, 1, 3, 4, 3, 3, 4, 2, 2, 3, 4, 4, 1, 0, 0, 4, 0, 3, 2, 0, 3, 4, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 4, 0, 2, 4, 0, 2, 2, 1, 0, 3, 2, 3, 1, 1, 4, 2, 2, 2, 4, 0, 3, 0, 4, 2, 4, 2, 4, 1, 1, 3, 2, 0, 1, 2, 4, 3, 1, 2, 2, 4, 0, 4, 1, 3, 3, 3, 0, 2, 1, 2, 0, 3, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 3, 2, 2, 2, 3, 2, 1, 2, 2, 4, 3, 2, 2, 1, 1, 4, 4, 1, 0, 2, 3, 2, 3, 2, 4, 1, 0, 4, 1, 3, 4, 2, 0, 4, 3, 2, 1, 0, 4, 2, 2, 3, 2, 2, 1, 4, 3, 4, 3, 1, 2, 1, 1, 4, 0, 2, 3, 0, 2, 4, 3, 2, 0, 3, 4, 0, 3, 3, 1, 4, 4, 1, 3, 4, 3, 2, 2, 3, 0, 1, 4, 2, 3, 3, 0, 0, 4, 3, 0, 0, 1, 1, 3, 4, 0, 3, 3, 3, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 4, 3, 3, 1, 1, 4, 0, 3, 0, 1, 0, 0, 2, 4, 2, 1, 2, 0, 2, 1, 3, 2, 1, 1, 1, 0, 1, 3, 4, 0, 3, 0, 1, 3, 0, 3, 2, 1, 3, 0, 0, 0, 3, 1, 2, 1, 0, 1, 2, 2, 0, 3, 4, 4, 3, 3, 1, 0, 0, 2, 1, 3, 1, 2, 0, 0, 3, 4, 3, 4, 2, 1, 2, 3, 4, 2, 0, 0, 1, 0, 1, 3, 2, 4, 4, 3, 3, 0, 2, 1, 1, 3, 0, 1, 4, 3, 4, 3, 2, 2, 2, 2, 4, 1, 0, 1, 2, 1, 3, 2, 1, 4, 0, 2, 1, 0, 3, 2, 2, 4, 1, 2, 0, 0, 1, 4, 0, 2, 4, 1, 4, 2, 0, 0, 1, 1, 4, 2, 4, 1, 0, 3, 0, 1, 0, 0, 3, 2, 0, 2, 4, 2, 4, 3, 1, 4, 4, 4, 2, 3, 1, 3, 3, 0, 1, 2, 4, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 4, 1, 4, 4, 3, 0, 0, 4, 0, 4, 2, 3, 0, 2, 3, 3, 4, 1, 0, 3, 0, 4, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 4, 0, 4, 2, 3, 2, 3, 2, 2, 2, 3, 1, 1, 1, 3, 4, 0, 1, 4, 1, 1, 4, 3, 3, 0, 3, 4, 3, 4, 1, 2, 0, 2, 0, 4, 2, 1, 4, 0, 1, 1, 2, 3, 4, 0, 3, 3, 4, 3, 0, 1, 4, 4, 1, 1, 0, 3, 3, 0, 0, 2, 4, 4, 0, 2, 2, 0, 1, 3, 1, 3, 4, 0, 2, 3, 1, 0, 4, 2, 3, 4, 2, 4, 2, 2, 3, 3, 4]
pubkeycol1187 = [3, 2, 0, 3, 4, 1, 4, 2, 3, 4, 2, 4, 2, 4, 4, 4, 3, 0, 2, 4, 4, 1, 2, 3, 2, 2, 4, 4, 4, 4, 0, 0, 3, 1, 2, 2, 1, 0, 0, 0, 1, 4, 0, 1, 0, 1, 4, 4, 1, 3, 2, 1, 2, 0, 2, 4, 2, 3, 2, 1, 2, 3, 0, 0, 3, 2, 3, 0, 3, 1, 1, 1, 2, 3, 4, 4, 4, 3, 0, 1, 3, 2, 1, 2, 1, 4, 3, 3, 3, 3, 3, 0, 1, 4, 1, 1, 1, 3, 0, 4, 3, 1, 4, 0, 1, 0, 0, 4, 4, 0, 4, 2, 0, 2, 3, 1, 4, 4, 3, 4, 0, 4, 1, 0, 4, 2, 3, 2, 2, 4, 3, 0, 3, 0, 1, 2, 4, 2, 2, 0, 4, 0, 0, 3, 2, 2, 2, 1, 0, 4, 0, 1, 1, 2, 3, 3, 1, 2, 1, 4, 4, 4, 2, 4, 1, 0, 2, 1, 3, 2, 4, 2, 4, 2, 3, 3, 4, 3, 0, 2, 4, 0, 1, 2, 4, 3, 0, 4, 1, 0, 0, 4, 4, 2, 4, 0, 4, 1, 1, 3, 1, 3, 0, 3, 3, 3, 2, 0, 0, 4, 0, 1, 0, 1, 4, 1, 3, 0, 3, 2, 0, 1, 4, 4, 2, 2, 4, 4, 3, 1, 1, 0, 1, 1, 4, 2, 1, 4, 2, 3, 3, 3, 3, 2, 1, 1, 2, 2, 0, 0, 4, 3, 3, 2, 3, 2, 4, 2, 1, 3, 4, 3, 1, 2, 3, 2, 4, 3, 2, 0, 4, 3, 3, 2, 1, 3, 2, 4, 3, 4, 4, 4, 1, 3, 0, 4, 2, 3, 2, 1, 0, 3, 3, 2, 3, 4, 1, 1, 1, 3, 2, 3, 1, 0, 1, 3, 1, 4, 2, 0, 0, 0, 4, 1, 3, 1, 4, 1, 1, 1, 3, 1, 1, 1, 2, 4, 1, 3, 0, 4, 2, 0, 1, 3, 4, 3, 3, 4, 3, 0, 0, 1, 2, 3, 1, 4, 1, 0, 2, 3, 3, 4, 2, 0, 4, 0, 4, 0, 3, 3, 1, 0, 1, 1, 3, 2, 0, 2, 4, 1, 4, 4, 1, 4, 1, 0, 2, 4, 2, 2, 2, 3, 3, 1, 3, 3, 2, 0, 3, 2, 4, 4, 2, 4, 2, 4, 1, 4, 4, 3, 1, 1, 1, 2, 3, 3, 0, 3, 3, 2, 0, 4, 2, 4, 1, 1, 0, 2, 2, 0, 3, 1, 2, 2, 0, 0, 4, 1, 1, 3, 4, 2, 3, 1, 0, 2, 3, 3, 0, 3, 3, 4, 1, 0, 3, 3, 2, 3, 2, 4, 0, 3, 0, 4, 1, 0, 3, 3, 0, 3, 0, 4, 2, 2, 0, 1, 3, 3, 3, 0, 4, 3, 1, 1, 3, 2, 0, 4, 3, 2, 2, 0, 1, 3, 3, 3, 3, 0, 0, 2, 2, 0, 2, 4, 3, 0, 3, 2, 4, 2, 3, 1, 2, 0, 0]
pubkeycol1188 = [4, 1, 0, 2, 2, 0, 3, 3, 1, 0, 1, 4, 1, 1, 4, 4, 1, 0, 0, 4, 3, 1, 4, 2, 3, 1, 3, 2, 4, 3, 4, 3, 4, 0, 1, 4, 4, 4, 1, 0, 0, 3, 0, 3, 1, 0, 3, 1, 0, 4, 3, 2, 1, 1, 2, 3, 2, 2, 3, 2, 2, 4, 0, 4, 4, 2, 4, 0, 2, 0, 4, 2, 3, 2, 3, 0, 3, 2, 2, 4, 1, 3, 3, 1, 1, 4, 2, 3, 4, 2, 3, 1, 3, 1, 0, 1, 3, 3, 4, 4, 3, 1, 1, 2, 0, 2, 0, 4, 3, 0, 2, 2, 2, 0, 2, 2, 4, 1, 1, 3, 1, 1, 3, 0, 3, 2, 1, 0, 0, 1, 2, 3, 1, 1, 2, 1, 2, 1, 4, 1, 3, 1, 2, 4, 3, 0, 4, 1, 4, 0, 2, 1, 0, 2, 0, 3, 3, 0, 1, 3, 0, 2, 3, 4, 4, 2, 3, 2, 3, 3, 4, 4, 2, 3, 4, 4, 0, 3, 1, 0, 2, 0, 3, 4, 4, 4, 4, 1, 4, 3, 0, 0, 3, 4, 1, 0, 2, 0, 2, 2, 1, 3, 2, 3, 2, 0, 4, 4, 4, 0, 4, 2, 2, 1, 2, 2, 0, 4, 4, 2, 2, 0, 2, 3, 2, 4, 3, 3, 0, 4, 3, 4, 4, 0, 0, 1, 0, 4, 3, 1, 2, 4, 1, 3, 1, 4, 1, 4, 2, 2, 3, 2, 3, 2, 0, 3, 4, 3, 1, 0, 0, 2, 4, 2, 0, 1, 1, 2, 1, 0, 4, 1, 4, 3, 2, 0, 4, 1, 0, 2, 1, 1, 1, 0, 4, 0, 2, 2, 3, 4, 4, 4, 2, 4, 3, 4, 2, 0, 3, 4, 4, 1, 4, 4, 4, 0, 0, 2, 3, 3, 4, 4, 0, 3, 1, 1, 1, 1, 2, 4, 0, 2, 3, 2, 2, 1, 4, 0, 3, 4, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 4, 0, 4, 4, 1, 4, 1, 2, 1, 3, 1, 0, 3, 1, 1, 4, 3, 2, 4, 2, 2, 3, 0, 1, 2, 2, 1, 3, 0, 3, 2, 2, 0, 1, 2, 1, 1, 3, 4, 3, 2, 2, 1, 3, 0, 1, 2, 4, 1, 4, 3, 4, 4, 2, 1, 3, 2, 2, 3, 3, 3, 3, 2, 4, 0, 3, 2, 0, 3, 4, 0, 4, 3, 1, 2, 1, 1, 1, 1, 1, 0, 1, 4, 4, 1, 3, 1, 4, 1, 1, 3, 2, 0, 0, 4, 4, 3, 3, 2, 1, 2, 0, 3, 2, 4, 1, 1, 3, 0, 0, 2, 1, 1, 4, 0, 0, 1, 1, 1, 0, 1, 0, 3, 1, 4, 4, 1, 1, 4, 4, 3, 1, 0, 0, 2, 3, 3, 4, 1, 0, 4, 3, 0, 0, 2, 0, 4, 2, 2, 4, 2, 3, 0, 2, 1, 1, 0, 4, 2, 4, 1, 2, 2, 2]
pubkeycol1189 = [1, 2, 0, 2, 3, 1, 3, 4, 4, 1, 4, 3, 1, 3, 1, 4, 1, 2, 1, 3, 3, 3, 4, 0, 0, 3, 1, 0, 4, 4, 1, 1, 3, 4, 2, 4, 1, 2, 2, 0, 4, 0, 1, 3, 1, 1, 0, 1, 2, 4, 4, 3, 3, 2, 2, 3, 4, 1, 1, 4, 1, 4, 1, 0, 0, 3, 3, 1, 1, 0, 4, 4, 2, 4, 2, 0, 1, 1, 2, 0, 1, 2, 2, 3, 3, 3, 3, 4, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 3, 3, 1, 3, 2, 2, 4, 4, 0, 0, 1, 4, 1, 0, 1, 1, 4, 0, 0, 4, 4, 1, 4, 0, 0, 3, 0, 4, 0, 1, 0, 1, 1, 3, 1, 0, 1, 3, 4, 4, 0, 3, 4, 3, 3, 3, 4, 3, 1, 4, 1, 2, 0, 0, 3, 0, 3, 2, 1, 4, 0, 3, 4, 4, 4, 4, 0, 1, 2, 4, 1, 2, 3, 0, 3, 1, 4, 3, 3, 2, 2, 3, 2, 2, 0, 0, 2, 4, 3, 3, 0, 4, 3, 0, 0, 3, 0, 4, 0, 2, 4, 4, 0, 1, 2, 3, 4, 4, 3, 4, 3, 2, 3, 3, 1, 4, 1, 0, 3, 2, 3, 3, 1, 4, 4, 3, 4, 4, 1, 3, 0, 4, 3, 3, 4, 3, 0, 4, 1, 4, 0, 1, 3, 3, 1, 2, 0, 1, 1, 3, 2, 3, 2, 2, 4, 2, 3, 4, 2, 4, 3, 2, 4, 3, 2, 0, 3, 4, 2, 3, 4, 4, 2, 4, 4, 1, 2, 2, 4, 3, 4, 1, 3, 4, 1, 4, 0, 4, 0, 4, 4, 1, 4, 4, 1, 2, 0, 2, 2, 3, 0, 1, 4, 0, 1, 2, 2, 3, 1, 4, 3, 1, 0, 1, 2, 2, 4, 1, 1, 0, 4, 2, 3, 2, 1, 1, 4, 4, 1, 1, 2, 2, 3, 1, 1, 1, 4, 1, 3, 0, 1, 4, 2, 4, 0, 4, 1, 3, 0, 0, 1, 3, 2, 4, 4, 2, 4, 2, 3, 3, 0, 0, 0, 1, 4, 2, 1, 1, 0, 1, 4, 3, 1, 0, 3, 0, 1, 3, 1, 4, 4, 0, 1, 0, 3, 3, 0, 3, 3, 3, 1, 2, 1, 2, 0, 3, 2, 4, 3, 2, 3, 2, 0, 2, 2, 2, 2, 3, 4, 3, 1, 0, 1, 2, 1, 4, 4, 4, 0, 1, 3, 1, 3, 2, 0, 0, 4, 2, 3, 3, 1, 4, 4, 0, 3, 1, 2, 0, 0, 1, 0, 3, 2, 1, 2, 3, 0, 3, 4, 0, 0, 2, 0, 2, 1, 1, 3, 3, 0, 3, 0, 3, 4, 3, 4, 1, 4, 4, 1, 0, 1, 4, 0, 0, 3, 4, 0, 0, 2, 4, 2, 2, 2, 0, 4, 2, 3, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 4, 1]
pubkeycol1190 = [3, 1, 1, 4, 3, 3, 0, 2, 0, 4, 4, 4, 2, 1, 0, 4, 3, 3, 2, 3, 4, 4, 0, 3, 0, 1, 0, 4, 2, 2, 4, 0, 4, 4, 2, 2, 0, 4, 1, 3, 4, 0, 4, 4, 2, 3, 1, 3, 1, 3, 4, 1, 1, 4, 4, 3, 4, 4, 2, 0, 4, 1, 3, 3, 3, 0, 0, 0, 3, 2, 1, 3, 2, 4, 3, 0, 0, 0, 0, 3, 3, 1, 4, 3, 4, 4, 4, 1, 2, 3, 0, 4, 2, 0, 4, 4, 3, 1, 2, 1, 3, 1, 2, 1, 1, 4, 2, 4, 0, 1, 2, 4, 3, 3, 1, 4, 3, 3, 0, 1, 1, 0, 3, 0, 3, 4, 4, 1, 3, 4, 0, 3, 0, 1, 4, 2, 3, 2, 2, 3, 3, 1, 3, 1, 4, 0, 0, 4, 1, 4, 1, 4, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 3, 0, 2, 0, 1, 0, 3, 3, 3, 2, 4, 2, 1, 1, 2, 1, 4, 1, 4, 1, 0, 0, 4, 1, 0, 0, 2, 0, 1, 3, 1, 4, 0, 4, 0, 3, 0, 2, 0, 3, 1, 2, 4, 1, 2, 4, 3, 2, 1, 1, 0, 1, 1, 1, 2, 2, 4, 0, 0, 1, 1, 4, 4, 0, 4, 3, 2, 0, 4, 1, 4, 2, 0, 1, 0, 1, 1, 0, 4, 0, 0, 4, 4, 1, 1, 2, 1, 2, 1, 4, 0, 1, 4, 0, 4, 1, 1, 0, 4, 2, 2, 1, 2, 2, 2, 4, 0, 1, 1, 0, 2, 1, 1, 3, 3, 3, 3, 2, 2, 1, 4, 1, 3, 0, 0, 1, 0, 4, 3, 2, 4, 4, 0, 4, 4, 4, 1, 0, 0, 1, 3, 3, 4, 2, 0, 0, 1, 3, 2, 4, 2, 0, 1, 4, 1, 0, 2, 4, 0, 3, 0, 0, 4, 4, 1, 4, 1, 3, 2, 4, 3, 0, 1, 2, 1, 4, 2, 1, 1, 0, 3, 4, 0, 1, 0, 4, 3, 1, 3, 3, 1, 4, 4, 2, 0, 2, 3, 2, 3, 0, 3, 0, 3, 4, 4, 4, 3, 3, 4, 4, 3, 1, 4, 2, 3, 1, 0, 3, 0, 2, 3, 2, 4, 3, 2, 3, 4, 2, 0, 2, 4, 4, 3, 4, 2, 1, 0, 2, 1, 1, 2, 4, 4, 0, 1, 2, 3, 3, 1, 1, 1, 3, 2, 3, 3, 0, 0, 1, 1, 3, 4, 2, 2, 2, 0, 4, 4, 2, 2, 1, 4, 0, 4, 0, 4, 4, 1, 1, 0, 1, 3, 0, 3, 2, 3, 3, 3, 4, 4, 0, 1, 2, 4, 2, 4, 3, 2, 3, 4, 0, 3, 1, 2, 3, 4, 4, 4, 1, 4, 3, 1, 3, 0, 2, 2, 3, 0, 3, 1, 2, 3, 1, 2, 1, 4, 4, 2, 3, 2, 1, 2, 2, 2, 0, 1, 3, 4, 1, 1, 3, 3, 4, 2]
pubkeycol1191 = [0, 2, 4, 4, 0, 2, 3, 1, 3, 2, 1, 3, 2, 4, 4, 3, 4, 3, 0, 2, 1, 3, 3, 1, 3, 1, 0, 0, 3, 0, 0, 1, 3, 0, 3, 4, 1, 4, 3, 3, 3, 4, 1, 1, 2, 3, 2, 1, 1, 0, 4, 3, 0, 0, 0, 2, 1, 4, 2, 1, 2, 0, 2, 0, 2, 4, 3, 0, 0, 2, 3, 2, 0, 4, 0, 0, 4, 2, 4, 3, 4, 1, 1, 4, 0, 0, 3, 2, 1, 1, 0, 0, 3, 3, 1, 4, 0, 1, 2, 3, 2, 0, 2, 4, 1, 3, 0, 0, 3, 1, 4, 1, 1, 1, 2, 3, 0, 3, 1, 0, 3, 4, 2, 1, 2, 2, 4, 0, 3, 4, 0, 0, 3, 1, 2, 4, 3, 2, 2, 3, 1, 0, 0, 4, 2, 2, 3, 4, 2, 2, 4, 0, 1, 4, 1, 3, 2, 3, 4, 2, 4, 4, 3, 4, 0, 1, 4, 1, 2, 4, 3, 3, 1, 2, 4, 0, 1, 2, 4, 0, 1, 0, 4, 0, 4, 3, 1, 0, 0, 1, 1, 0, 4, 2, 4, 1, 0, 2, 1, 0, 3, 4, 0, 0, 1, 0, 4, 0, 3, 3, 4, 4, 4, 1, 3, 0, 3, 4, 1, 4, 3, 3, 0, 0, 4, 1, 3, 0, 2, 2, 1, 2, 4, 2, 3, 3, 4, 1, 1, 4, 1, 1, 1, 0, 0, 1, 4, 3, 0, 0, 4, 0, 3, 4, 4, 3, 0, 4, 0, 1, 1, 2, 1, 4, 2, 4, 4, 4, 4, 3, 3, 2, 1, 4, 2, 4, 3, 0, 0, 0, 2, 2, 4, 1, 3, 4, 1, 2, 3, 4, 1, 4, 0, 1, 1, 4, 0, 2, 3, 1, 4, 3, 0, 3, 1, 1, 4, 2, 2, 3, 0, 0, 2, 3, 2, 4, 1, 2, 0, 2, 0, 1, 1, 3, 4, 1, 1, 3, 2, 1, 1, 3, 3, 1, 3, 1, 2, 3, 2, 1, 3, 2, 0, 0, 0, 1, 3, 0, 3, 1, 0, 3, 0, 2, 4, 3, 2, 0, 3, 1, 3, 3, 4, 1, 2, 0, 4, 4, 3, 3, 4, 4, 1, 2, 3, 1, 4, 3, 4, 2, 3, 4, 3, 0, 1, 4, 3, 4, 4, 2, 0, 2, 2, 0, 4, 4, 3, 3, 3, 0, 2, 2, 2, 4, 1, 3, 3, 4, 1, 3, 0, 0, 4, 4, 1, 0, 2, 2, 1, 2, 2, 3, 4, 1, 1, 1, 4, 0, 3, 4, 3, 0, 0, 1, 2, 1, 0, 0, 1, 4, 4, 0, 1, 1, 2, 4, 0, 4, 3, 2, 3, 4, 3, 1, 1, 3, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 4, 2, 3, 4, 2, 1, 4, 0, 0, 4, 4, 0, 1, 2, 2, 4, 1, 4, 3, 1, 2, 0, 3, 4, 2, 0, 1, 2, 1, 4, 4, 2, 3, 3, 2, 3, 0, 3, 2]
pubkeycol1192 = [0, 0, 4, 3, 3, 1, 0, 4, 1, 0, 4, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 4, 3, 4, 0, 4, 2, 4, 1, 2, 2, 4, 1, 0, 3, 1, 0, 2, 3, 0, 4, 1, 4, 0, 0, 1, 2, 3, 4, 0, 2, 2, 4, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 3, 2, 1, 0, 0, 4, 4, 4, 0, 2, 4, 1, 1, 4, 2, 2, 1, 4, 4, 2, 4, 4, 0, 0, 1, 4, 1, 0, 3, 0, 3, 1, 3, 0, 2, 3, 1, 2, 0, 0, 1, 0, 2, 4, 3, 0, 2, 2, 2, 0, 0, 3, 3, 1, 1, 1, 0, 3, 0, 1, 3, 4, 0, 1, 0, 1, 3, 1, 2, 4, 3, 4, 1, 1, 1, 0, 0, 0, 3, 4, 2, 0, 4, 2, 3, 1, 0, 3, 4, 3, 4, 2, 4, 4, 2, 2, 2, 3, 2, 2, 4, 0, 0, 4, 1, 0, 4, 2, 2, 4, 0, 2, 2, 0, 2, 0, 2, 4, 1, 4, 4, 4, 0, 0, 1, 1, 0, 1, 3, 3, 4, 2, 2, 0, 4, 3, 3, 4, 0, 2, 4, 3, 4, 2, 3, 4, 2, 4, 2, 0, 3, 1, 3, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 3, 4, 1, 2, 4, 2, 2, 0, 0, 3, 2, 3, 4, 3, 0, 2, 1, 2, 4, 4, 0, 0, 3, 3, 2, 3, 3, 1, 0, 4, 1, 3, 0, 1, 2, 2, 2, 2, 2, 4, 3, 0, 1, 0, 4, 2, 4, 0, 2, 2, 2, 1, 3, 3, 0, 4, 4, 4, 2, 2, 4, 2, 0, 4, 4, 4, 3, 2, 0, 1, 0, 4, 4, 3, 4, 4, 1, 1, 2, 3, 3, 4, 3, 2, 1, 0, 2, 4, 0, 2, 1, 4, 4, 0, 4, 1, 3, 1, 0, 0, 4, 3, 3, 1, 0, 4, 2, 0, 2, 1, 3, 0, 0, 4, 0, 3, 2, 1, 0, 3, 1, 1, 0, 1, 4, 3, 4, 0, 0, 3, 2, 0, 1, 0, 1, 0, 3, 1, 1, 4, 2, 3, 3, 2, 4, 3, 4, 2, 3, 3, 3, 0, 1, 1, 4, 4, 0, 4, 4, 0, 4, 4, 2, 4, 3, 2, 4, 4, 3, 0, 1, 3, 4, 4, 2, 0, 2, 1, 1, 2, 3, 1, 3, 0, 4, 2, 3, 4, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 4, 4, 4, 2, 4, 4, 0, 4, 0, 2, 0, 1, 4, 1, 0, 2, 0, 2, 0, 3, 0, 4, 2, 1, 4, 4, 4, 0, 3, 3, 3, 3, 4, 3, 4, 1, 1, 1, 1, 3, 2, 3, 4, 3, 3, 3, 2, 2, 3, 0, 0, 4, 3, 2, 3, 2, 0, 3, 3, 2, 4, 4, 1, 2, 4, 0, 3, 0, 0, 4, 4, 2, 4, 2]
pubkeycol1193 = [3, 4, 4, 1, 3, 3, 0, 3, 3, 4, 3, 0, 1, 1, 4, 4, 0, 2, 0, 4, 3, 1, 4, 2, 1, 3, 2, 2, 2, 1, 4, 0, 2, 3, 2, 0, 0, 0, 3, 2, 2, 3, 3, 1, 4, 3, 2, 3, 4, 3, 1, 1, 2, 1, 0, 4, 0, 4, 3, 2, 3, 0, 0, 2, 4, 2, 0, 3, 4, 2, 4, 2, 3, 4, 1, 3, 4, 0, 1, 1, 0, 2, 2, 2, 0, 1, 3, 0, 4, 0, 1, 2, 3, 0, 0, 1, 4, 4, 0, 1, 3, 1, 4, 2, 0, 4, 3, 2, 2, 2, 3, 0, 2, 2, 1, 4, 0, 0, 3, 0, 1, 0, 3, 2, 1, 3, 0, 1, 2, 4, 2, 4, 4, 0, 2, 1, 4, 1, 3, 2, 0, 3, 4, 4, 3, 1, 2, 1, 0, 4, 0, 0, 2, 0, 3, 2, 1, 4, 1, 4, 1, 4, 0, 3, 1, 1, 3, 3, 0, 0, 0, 1, 3, 3, 1, 0, 3, 4, 3, 1, 3, 1, 0, 4, 3, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 4, 3, 1, 2, 1, 0, 2, 1, 2, 3, 2, 3, 2, 2, 1, 2, 3, 2, 4, 0, 3, 2, 0, 3, 2, 4, 1, 3, 2, 0, 4, 1, 4, 3, 0, 0, 3, 1, 3, 1, 3, 0, 0, 3, 4, 4, 2, 0, 1, 2, 1, 2, 3, 2, 4, 1, 0, 2, 1, 0, 0, 3, 2, 1, 0, 1, 4, 2, 1, 0, 3, 0, 4, 4, 1, 1, 3, 4, 0, 1, 1, 4, 2, 0, 0, 2, 0, 3, 3, 1, 0, 0, 0, 0, 4, 4, 4, 3, 1, 1, 0, 0, 3, 4, 2, 0, 0, 2, 1, 0, 4, 0, 4, 4, 3, 1, 3, 1, 0, 1, 3, 1, 4, 4, 2, 4, 1, 0, 1, 0, 4, 3, 1, 0, 3, 4, 1, 1, 0, 0, 4, 2, 4, 4, 0, 1, 0, 3, 4, 1, 4, 3, 1, 0, 2, 1, 0, 4, 2, 4, 0, 1, 2, 1, 4, 1, 1, 0, 3, 3, 3, 3, 1, 2, 3, 3, 3, 1, 1, 1, 3, 3, 4, 0, 3, 3, 2, 3, 3, 3, 2, 2, 4, 4, 3, 4, 2, 4, 0, 1, 4, 0, 3, 2, 0, 1, 2, 1, 3, 1, 0, 4, 1, 3, 0, 3, 2, 4, 2, 1, 4, 2, 3, 1, 1, 4, 0, 2, 1, 1, 4, 1, 2, 0, 1, 3, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 4, 2, 2, 2, 0, 3, 4, 2, 3, 3, 4, 1, 2, 3, 1, 2, 3, 2, 1, 4, 4, 1, 3, 0, 4, 0, 3, 4, 0, 0, 1, 0, 1, 2, 0, 3, 1, 3, 1, 2, 1, 1, 2, 1, 0, 2, 3, 4, 1, 0, 1, 0, 2, 1, 1, 0, 4, 3, 2, 0]
pubkeycol1194 = [0, 2, 4, 3, 3, 4, 2, 3, 2, 4, 0, 4, 2, 4, 2, 0, 3, 4, 3, 2, 3, 1, 0, 3, 4, 1, 2, 4, 3, 2, 0, 2, 1, 0, 4, 2, 3, 4, 3, 3, 4, 4, 2, 1, 0, 3, 4, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 4, 1, 1, 2, 3, 3, 4, 1, 2, 2, 0, 3, 1, 2, 1, 4, 0, 2, 0, 3, 3, 2, 0, 4, 0, 0, 3, 3, 2, 3, 4, 1, 0, 0, 3, 3, 3, 2, 2, 1, 2, 3, 0, 2, 0, 2, 2, 0, 2, 0, 0, 3, 1, 3, 2, 4, 4, 2, 0, 2, 3, 0, 0, 1, 3, 3, 2, 4, 4, 0, 3, 4, 3, 0, 2, 1, 2, 4, 2, 2, 2, 1, 1, 3, 3, 0, 3, 0, 1, 1, 1, 0, 3, 4, 3, 1, 4, 4, 1, 4, 3, 3, 0, 2, 2, 4, 4, 4, 3, 4, 4, 1, 1, 2, 0, 2, 3, 4, 4, 0, 1, 4, 2, 0, 2, 4, 1, 2, 1, 2, 2, 2, 4, 4, 0, 2, 0, 4, 2, 0, 1, 1, 0, 4, 0, 2, 3, 1, 4, 2, 0, 3, 2, 4, 1, 3, 4, 4, 4, 0, 0, 1, 4, 3, 2, 0, 0, 3, 3, 0, 1, 2, 1, 1, 3, 1, 2, 2, 3, 0, 3, 1, 2, 3, 4, 3, 1, 0, 2, 2, 0, 3, 4, 3, 2, 0, 4, 1, 3, 4, 3, 2, 1, 3, 3, 3, 1, 2, 3, 3, 4, 0, 2, 3, 1, 4, 3, 1, 1, 3, 0, 0, 1, 3, 1, 2, 4, 0, 3, 4, 1, 2, 4, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 4, 2, 0, 4, 3, 1, 1, 1, 3, 2, 1, 4, 1, 3, 3, 4, 0, 3, 3, 1, 0, 4, 0, 1, 0, 3, 2, 4, 4, 1, 2, 3, 1, 2, 3, 4, 1, 1, 4, 0, 3, 1, 1, 1, 1, 3, 1, 2, 2, 3, 3, 2, 0, 4, 2, 2, 4, 3, 3, 1, 3, 3, 4, 4, 1, 0, 2, 1, 1, 3, 4, 4, 1, 3, 4, 4, 1, 0, 1, 4, 2, 4, 2, 4, 3, 1, 2, 4, 1, 0, 1, 1, 3, 1, 3, 0, 2, 2, 4, 2, 2, 3, 4, 2, 1, 1, 3, 0, 4, 4, 2, 2, 0, 0, 4, 3, 0, 4, 0, 4, 0, 2, 1, 1, 1, 0, 3, 4, 3, 1, 4, 3, 4, 4, 2, 0, 0, 4, 4, 4, 3, 0, 1, 3, 4, 4, 1, 0, 0, 3, 1, 1, 3, 0, 3, 1, 3, 1, 3, 1, 2, 2, 0, 2, 0, 0, 0, 1, 3, 4, 4, 4, 1, 2, 2, 2, 1, 2, 2, 4, 0, 3, 4, 2, 4, 4, 0, 2, 1, 1, 0, 1, 3, 4, 2, 4, 0, 4, 1, 2, 1, 2, 0, 4, 4]
pubkeycol1195 = [0, 4, 1, 1, 2, 0, 0, 1, 2, 0, 2, 4, 0, 1, 2, 0, 0, 2, 1, 2, 3, 4, 0, 2, 4, 3, 1, 4, 2, 0, 3, 0, 4, 4, 2, 4, 2, 0, 0, 0, 0, 0, 1, 4, 2, 3, 2, 3, 4, 3, 3, 4, 3, 3, 0, 3, 4, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 4, 4, 4, 2, 0, 1, 2, 0, 0, 4, 0, 4, 3, 3, 3, 1, 3, 1, 3, 4, 2, 0, 2, 3, 4, 3, 3, 2, 2, 1, 1, 1, 3, 2, 0, 4, 2, 0, 4, 0, 2, 0, 2, 1, 3, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 4, 1, 4, 4, 0, 0, 2, 4, 4, 1, 4, 0, 1, 4, 3, 0, 4, 2, 1, 2, 1, 4, 0, 0, 2, 2, 3, 1, 4, 4, 1, 1, 2, 1, 1, 2, 2, 4, 0, 1, 3, 2, 1, 3, 3, 3, 0, 0, 3, 2, 1, 0, 2, 4, 1, 4, 1, 3, 4, 0, 1, 3, 4, 2, 4, 1, 4, 1, 4, 3, 4, 0, 2, 1, 1, 4, 2, 4, 3, 0, 4, 1, 4, 1, 2, 1, 1, 3, 1, 0, 2, 2, 0, 2, 2, 2, 3, 4, 0, 3, 4, 3, 0, 2, 3, 3, 2, 0, 4, 2, 0, 3, 0, 0, 0, 1, 4, 3, 1, 0, 1, 4, 1, 1, 4, 1, 3, 0, 0, 1, 0, 4, 4, 4, 2, 3, 3, 4, 2, 1, 3, 2, 3, 2, 3, 3, 3, 3, 1, 0, 1, 2, 3, 4, 2, 1, 4, 1, 1, 4, 4, 3, 3, 4, 3, 2, 0, 4, 1, 4, 1, 3, 2, 2, 0, 4, 4, 3, 0, 3, 3, 2, 3, 0, 3, 0, 2, 3, 2, 2, 1, 4, 1, 3, 2, 1, 2, 1, 3, 0, 0, 1, 4, 1, 4, 3, 2, 1, 4, 2, 4, 2, 4, 2, 2, 4, 3, 4, 0, 1, 0, 2, 3, 0, 3, 1, 2, 1, 4, 3, 1, 0, 3, 0, 2, 3, 1, 3, 4, 1, 4, 1, 3, 1, 4, 3, 1, 2, 4, 2, 1, 2, 3, 0, 3, 4, 3, 2, 4, 2, 3, 0, 3, 0, 1, 4, 0, 1, 2, 4, 4, 1, 4, 3, 3, 1, 4, 0, 3, 3, 3, 1, 2, 1, 3, 2, 2, 4, 1, 2, 1, 2, 4, 3, 1, 0, 2, 3, 3, 1, 0, 4, 2, 3, 2, 2, 1, 3, 3, 1, 4, 1, 3, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 3, 2, 2, 2, 0, 2, 2, 4, 2, 0, 4, 4, 4, 4, 4, 2, 1, 0, 4, 0, 3, 2, 4, 4, 2, 1, 1, 0, 3, 2, 1, 0, 4, 0, 0, 0, 3, 0, 4, 3, 4, 0, 3, 4, 4, 1, 2, 2, 3, 1, 2, 4, 1]
pubkeycol1196 = [3, 4, 1, 4, 2, 3, 3, 3, 2, 0, 4, 4, 0, 4, 4, 4, 2, 2, 0, 3, 3, 2, 0, 0, 0, 1, 3, 1, 3, 0, 0, 3, 3, 4, 3, 2, 1, 0, 3, 0, 4, 2, 3, 0, 0, 1, 0, 0, 1, 3, 2, 4, 3, 3, 3, 4, 3, 3, 0, 1, 0, 3, 2, 4, 2, 0, 3, 4, 4, 4, 3, 2, 1, 4, 1, 4, 1, 0, 1, 1, 2, 1, 0, 3, 3, 2, 3, 0, 2, 1, 3, 0, 1, 4, 4, 0, 1, 2, 2, 3, 1, 1, 1, 0, 0, 0, 3, 4, 1, 4, 4, 2, 2, 2, 3, 2, 0, 1, 3, 1, 2, 4, 0, 0, 2, 3, 0, 3, 3, 0, 4, 3, 3, 4, 2, 3, 4, 2, 0, 2, 1, 1, 4, 0, 0, 0, 1, 1, 4, 4, 1, 4, 4, 3, 2, 3, 4, 0, 0, 3, 2, 3, 3, 0, 0, 0, 4, 0, 1, 2, 0, 4, 0, 4, 4, 1, 0, 3, 4, 3, 3, 3, 1, 3, 3, 3, 3, 2, 3, 0, 4, 4, 1, 1, 1, 0, 3, 0, 1, 1, 0, 0, 1, 0, 4, 2, 2, 4, 4, 2, 4, 1, 1, 2, 4, 1, 0, 0, 4, 0, 4, 1, 0, 1, 2, 4, 4, 1, 3, 3, 4, 2, 0, 2, 0, 4, 1, 1, 2, 2, 2, 0, 0, 4, 1, 4, 3, 2, 1, 2, 3, 0, 2, 4, 3, 1, 0, 4, 3, 3, 3, 1, 1, 0, 3, 3, 4, 2, 4, 4, 0, 0, 0, 1, 3, 2, 2, 2, 4, 4, 0, 2, 1, 2, 1, 1, 1, 3, 4, 1, 2, 4, 3, 1, 4, 0, 2, 3, 3, 3, 3, 0, 4, 4, 0, 2, 3, 2, 2, 0, 4, 3, 2, 1, 1, 3, 1, 3, 3, 1, 2, 3, 2, 4, 2, 0, 1, 3, 0, 3, 1, 4, 1, 0, 4, 2, 1, 3, 4, 2, 4, 3, 4, 2, 1, 1, 0, 2, 2, 3, 0, 1, 2, 3, 3, 0, 3, 2, 4, 2, 2, 4, 1, 3, 0, 0, 2, 4, 4, 0, 2, 1, 2, 4, 3, 4, 3, 2, 2, 4, 1, 1, 3, 4, 3, 3, 4, 0, 0, 4, 2, 2, 3, 2, 0, 2, 1, 3, 4, 1, 4, 4, 0, 0, 0, 4, 4, 3, 3, 0, 1, 4, 1, 4, 0, 4, 0, 4, 3, 1, 0, 1, 4, 1, 1, 4, 3, 1, 4, 3, 0, 0, 1, 1, 3, 0, 1, 2, 2, 2, 1, 4, 2, 2, 2, 2, 0, 2, 3, 0, 4, 4, 4, 3, 3, 0, 0, 0, 4, 4, 1, 2, 0, 0, 4, 2, 0, 2, 3, 4, 1, 0, 1, 2, 0, 0, 1, 4, 3, 2, 4, 2, 0, 0, 3, 4, 0, 2, 3, 2, 4, 4, 0, 1, 0, 0, 0, 1, 3, 4, 1, 4, 3, 2, 0]
pubkeycol1197 = [3, 2, 1, 2, 2, 3, 4, 2, 0, 0, 1, 0, 1, 4, 2, 0, 1, 4, 0, 0, 3, 3, 1, 2, 1, 0, 3, 4, 2, 4, 0, 4, 1, 1, 1, 3, 2, 0, 1, 1, 0, 0, 3, 3, 2, 4, 4, 4, 3, 2, 2, 3, 1, 0, 4, 0, 3, 3, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 3, 1, 2, 2, 1, 1, 0, 4, 3, 0, 2, 0, 2, 0, 4, 2, 2, 0, 0, 2, 1, 4, 4, 1, 3, 0, 1, 3, 3, 0, 2, 2, 3, 1, 4, 3, 2, 3, 0, 1, 3, 2, 1, 4, 3, 2, 3, 0, 4, 4, 4, 2, 4, 2, 4, 4, 0, 1, 3, 2, 0, 4, 3, 3, 2, 2, 0, 2, 3, 0, 0, 2, 2, 1, 1, 1, 3, 3, 0, 2, 2, 3, 2, 2, 2, 0, 2, 0, 0, 0, 1, 3, 4, 1, 0, 1, 3, 2, 2, 1, 0, 4, 1, 0, 1, 1, 3, 2, 0, 0, 1, 0, 4, 4, 2, 1, 0, 4, 4, 0, 4, 4, 1, 0, 4, 3, 4, 1, 4, 1, 2, 3, 1, 3, 2, 0, 3, 0, 0, 2, 3, 3, 4, 0, 2, 2, 0, 0, 1, 3, 2, 4, 0, 3, 0, 0, 0, 0, 3, 1, 1, 2, 0, 4, 1, 3, 2, 0, 3, 0, 2, 0, 0, 4, 0, 1, 3, 4, 0, 2, 1, 3, 0, 0, 4, 4, 1, 3, 1, 4, 2, 4, 3, 0, 0, 4, 3, 3, 3, 4, 0, 2, 4, 1, 3, 1, 2, 1, 2, 3, 4, 1, 4, 0, 4, 4, 2, 4, 2, 4, 3, 0, 1, 3, 0, 4, 2, 3, 1, 4, 0, 1, 1, 2, 0, 2, 4, 1, 2, 3, 0, 4, 0, 2, 3, 4, 2, 2, 3, 3, 4, 0, 2, 2, 2, 0, 0, 3, 1, 3, 1, 2, 3, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 3, 1, 3, 2, 1, 0, 3, 2, 3, 0, 2, 2, 4, 2, 2, 2, 4, 1, 4, 2, 2, 0, 3, 2, 4, 0, 2, 0, 2, 3, 1, 3, 3, 2, 0, 3, 3, 3, 0, 0, 2, 2, 1, 0, 1, 1, 4, 4, 4, 2, 2, 2, 2, 0, 2, 2, 4, 2, 2, 2, 1, 1, 1, 1, 2, 4, 0, 4, 1, 2, 2, 4, 1, 1, 1, 4, 3, 1, 0, 3, 4, 4, 1, 3, 1, 4, 1, 2, 4, 4, 1, 4, 4, 2, 2, 3, 4, 0, 1, 2, 1, 0, 0, 2, 3, 0, 0, 3, 4, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 3, 0, 3, 4, 1, 1, 4, 2, 2, 0, 4, 0, 1, 3, 0, 0, 3, 0, 0, 3, 0, 3, 4, 0, 1, 4, 3, 3, 3, 1, 3, 1, 0, 4, 1, 4, 4, 4, 2, 1, 3]
pubkeycol1198 = [0, 2, 0, 3, 0, 3, 1, 4, 3, 2, 3, 1, 3, 2, 0, 3, 2, 0, 4, 4, 3, 4, 2, 4, 2, 2, 4, 4, 3, 3, 0, 2, 1, 1, 3, 4, 4, 3, 3, 0, 1, 1, 4, 1, 0, 0, 4, 4, 3, 1, 4, 2, 3, 3, 3, 0, 4, 1, 1, 2, 4, 2, 3, 4, 3, 0, 0, 0, 2, 2, 3, 2, 2, 2, 2, 2, 1, 1, 4, 0, 1, 1, 3, 3, 0, 0, 1, 0, 4, 0, 1, 4, 0, 3, 3, 3, 4, 0, 4, 1, 0, 3, 4, 0, 2, 2, 1, 0, 1, 0, 4, 3, 2, 1, 0, 4, 2, 0, 0, 1, 4, 2, 0, 2, 4, 0, 1, 3, 4, 1, 2, 4, 2, 3, 4, 3, 4, 4, 0, 2, 1, 3, 1, 3, 4, 1, 3, 3, 4, 3, 0, 4, 4, 2, 3, 2, 3, 0, 4, 2, 3, 3, 0, 4, 0, 0, 4, 0, 4, 2, 0, 1, 1, 3, 1, 1, 3, 1, 1, 4, 0, 2, 0, 3, 1, 0, 3, 2, 0, 3, 3, 3, 4, 2, 2, 4, 3, 2, 3, 1, 4, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 4, 2, 0, 2, 4, 4, 3, 2, 0, 1, 0, 0, 1, 0, 4, 1, 1, 3, 3, 1, 2, 0, 3, 3, 4, 1, 1, 2, 0, 3, 0, 3, 4, 2, 4, 2, 0, 3, 4, 4, 4, 3, 3, 2, 3, 1, 0, 3, 4, 2, 2, 0, 0, 0, 0, 1, 1, 4, 3, 1, 2, 0, 3, 4, 2, 3, 0, 0, 1, 4, 0, 4, 2, 1, 0, 0, 3, 1, 2, 1, 3, 3, 4, 4, 4, 3, 2, 3, 1, 0, 3, 0, 0, 2, 4, 0, 0, 2, 1, 3, 1, 0, 3, 0, 4, 0, 2, 1, 3, 1, 0, 0, 2, 4, 0, 3, 0, 0, 1, 3, 3, 3, 1, 0, 4, 4, 3, 1, 3, 2, 3, 1, 4, 4, 0, 1, 4, 3, 0, 2, 3, 2, 0, 1, 2, 3, 2, 2, 3, 4, 3, 0, 0, 0, 0, 2, 1, 0, 4, 0, 2, 2, 0, 2, 0, 3, 1, 2, 0, 1, 1, 4, 1, 2, 1, 1, 2, 2, 3, 3, 4, 3, 1, 1, 2, 2, 3, 0, 0, 1, 0, 1, 3, 0, 3, 2, 2, 3, 2, 2, 2, 0, 2, 2, 2, 3, 3, 0, 4, 4, 0, 4, 4, 3, 4, 0, 2, 2, 1, 1, 3, 4, 1, 1, 4, 2, 1, 0, 0, 4, 4, 1, 2, 0, 1, 0, 2, 3, 2, 1, 4, 0, 2, 0, 3, 4, 3, 4, 4, 3, 0, 3, 2, 4, 1, 0, 3, 2, 0, 2, 1, 2, 4, 1, 0, 1, 2, 2, 1, 0, 1, 4, 0, 3, 3, 4, 1, 0, 0, 3, 1, 0, 0, 4, 3, 4, 4, 4, 1, 3, 1, 4]
pubkeycol1199 = [4, 3, 2, 4, 2, 4, 3, 0, 0, 0, 2, 3, 4, 1, 0, 0, 2, 3, 4, 1, 1, 0, 0, 1, 0, 0, 0, 1, 3, 2, 1, 3, 0, 1, 3, 2, 3, 1, 4, 2, 1, 2, 0, 1, 1, 4, 2, 2, 4, 3, 2, 3, 4, 0, 1, 2, 2, 1, 3, 3, 3, 3, 3, 3, 2, 2, 0, 2, 4, 1, 3, 4, 0, 3, 3, 3, 4, 0, 2, 4, 1, 2, 3, 2, 1, 0, 2, 4, 0, 1, 3, 0, 0, 2, 3, 1, 3, 3, 1, 0, 3, 4, 2, 4, 4, 0, 3, 3, 3, 3, 3, 1, 2, 0, 3, 0, 1, 4, 0, 3, 4, 1, 2, 1, 0, 4, 1, 4, 1, 1, 2, 0, 4, 0, 3, 3, 1, 2, 3, 2, 4, 3, 0, 4, 0, 1, 4, 1, 4, 0, 0, 2, 1, 4, 0, 1, 2, 4, 0, 1, 1, 0, 3, 1, 2, 4, 0, 1, 4, 1, 4, 0, 2, 4, 4, 4, 4, 2, 2, 3, 2, 3, 4, 4, 3, 2, 1, 3, 3, 0, 3, 1, 2, 4, 4, 4, 1, 3, 1, 0, 3, 4, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 4, 1, 4, 3, 4, 1, 1, 1, 1, 0, 1, 3, 1, 1, 0, 1, 1, 4, 4, 3, 0, 0, 1, 4, 3, 0, 1, 4, 1, 4, 3, 2, 0, 0, 3, 2, 2, 4, 1, 1, 4, 2, 4, 3, 3, 1, 2, 4, 1, 2, 4, 3, 0, 0, 2, 2, 1, 1, 4, 4, 2, 3, 0, 3, 4, 1, 0, 1, 4, 4, 0, 4, 3, 0, 1, 4, 3, 3, 0, 2, 3, 2, 0, 0, 1, 0, 1, 4, 1, 2, 3, 0, 2, 2, 4, 3, 2, 2, 1, 2, 4, 3, 2, 1, 4, 1, 1, 0, 0, 0, 0, 0, 2, 3, 0, 1, 3, 0, 2, 1, 0, 2, 3, 1, 3, 0, 0, 1, 2, 0, 0, 0, 1, 1, 4, 4, 3, 3, 4, 4, 1, 1, 0, 3, 3, 3, 3, 2, 2, 4, 1, 3, 1, 1, 4, 3, 1, 3, 0, 1, 4, 0, 4, 3, 1, 4, 3, 2, 0, 1, 3, 2, 4, 0, 3, 3, 4, 3, 2, 0, 2, 1, 4, 2, 0, 0, 2, 3, 2, 3, 4, 0, 2, 0, 4, 0, 1, 0, 0, 2, 0, 0, 2, 4, 4, 4, 0, 1, 4, 4, 1, 0, 4, 2, 2, 4, 1, 0, 2, 0, 4, 4, 3, 4, 1, 1, 3, 4, 0, 2, 0, 0, 2, 4, 0, 1, 2, 3, 1, 0, 0, 2, 2, 4, 4, 3, 4, 2, 1, 2, 0, 0, 3, 3, 3, 1, 0, 4, 1, 1, 3, 1, 2, 0, 2, 3, 2, 3, 2, 3, 0, 2, 1, 2, 4, 3, 4, 4, 4, 2, 2, 4, 0, 1, 1, 1, 0, 4, 1]
pubkeycol1200 = [1, 2, 0, 2, 1, 2, 4, 0, 1, 2, 3, 2, 0, 2, 2, 2, 4, 1, 3, 0, 3, 3, 2, 1, 1, 0, 1, 3, 0, 4, 3, 2, 1, 0, 3, 1, 0, 3, 4, 3, 1, 2, 2, 1, 0, 3, 0, 1, 4, 2, 1, 2, 3, 3, 4, 3, 1, 4, 0, 1, 3, 3, 0, 4, 3, 0, 0, 1, 3, 2, 1, 0, 2, 1, 2, 1, 1, 0, 4, 1, 4, 3, 3, 2, 1, 4, 0, 4, 3, 0, 1, 1, 1, 4, 3, 3, 1, 3, 3, 4, 4, 0, 4, 3, 3, 3, 1, 1, 1, 1, 1, 3, 1, 4, 1, 1, 2, 3, 3, 0, 1, 2, 0, 4, 0, 2, 2, 4, 0, 2, 4, 3, 0, 0, 0, 1, 2, 4, 0, 4, 2, 0, 0, 0, 4, 2, 3, 4, 2, 0, 1, 3, 3, 0, 1, 2, 1, 4, 3, 0, 0, 1, 4, 4, 4, 4, 2, 3, 0, 4, 4, 0, 2, 1, 1, 1, 4, 1, 1, 4, 4, 0, 0, 2, 3, 2, 4, 0, 4, 4, 1, 1, 4, 4, 0, 2, 2, 0, 3, 2, 0, 4, 2, 2, 3, 0, 0, 4, 2, 1, 1, 2, 0, 0, 3, 3, 0, 1, 3, 3, 3, 4, 3, 3, 3, 0, 0, 3, 1, 0, 4, 4, 4, 4, 2, 0, 3, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 4, 3, 3, 2, 3, 4, 3, 1, 3, 4, 2, 4, 4, 0, 0, 2, 2, 1, 2, 4, 4, 0, 0, 2, 0, 2, 3, 3, 0, 0, 2, 3, 4, 2, 3, 1, 2, 4, 3, 1, 2, 0, 2, 1, 0, 3, 2, 4, 3, 4, 1, 4, 2, 1, 3, 0, 1, 2, 3, 2, 0, 1, 0, 2, 1, 4, 0, 1, 0, 3, 0, 0, 0, 4, 0, 4, 3, 1, 1, 4, 2, 0, 0, 4, 3, 3, 0, 2, 1, 1, 2, 4, 0, 0, 4, 1, 4, 1, 2, 4, 1, 1, 3, 2, 3, 2, 2, 1, 2, 1, 3, 4, 1, 0, 0, 1, 1, 4, 3, 0, 1, 4, 2, 0, 0, 2, 3, 3, 1, 2, 3, 1, 2, 1, 0, 2, 3, 4, 0, 2, 0, 2, 1, 2, 2, 4, 4, 3, 2, 4, 3, 0, 0, 2, 3, 0, 0, 2, 2, 2, 2, 4, 4, 4, 3, 3, 2, 4, 1, 4, 1, 1, 3, 2, 0, 3, 2, 2, 0, 2, 1, 2, 4, 4, 3, 1, 4, 4, 4, 1, 2, 0, 1, 0, 1, 3, 4, 0, 0, 4, 4, 1, 4, 4, 1, 3, 3, 4, 1, 1, 2, 2, 0, 3, 1, 4, 3, 1, 0, 0, 4, 0, 1, 1, 2, 1, 0, 2, 2, 0, 4, 4, 4, 0, 3, 3, 0, 0, 4, 1, 4, 0, 1, 0, 2, 3, 1, 1, 3, 0, 1, 3, 4, 2, 2]
pubkeycol1201 = [0, 3, 4, 2, 3, 2, 4, 1, 2, 0, 3, 0, 2, 3, 0, 4, 0, 1, 1, 3, 2, 0, 0, 4, 4, 4, 3, 0, 0, 4, 4, 4, 2, 3, 0, 1, 0, 2, 0, 4, 4, 1, 1, 4, 2, 4, 0, 3, 4, 4, 4, 0, 3, 1, 0, 0, 1, 4, 0, 2, 4, 3, 4, 3, 0, 2, 0, 4, 3, 2, 3, 3, 0, 4, 0, 0, 0, 1, 4, 2, 3, 1, 3, 1, 4, 1, 3, 2, 1, 2, 0, 4, 0, 4, 2, 4, 4, 2, 4, 4, 0, 2, 2, 1, 3, 3, 3, 2, 2, 2, 0, 1, 4, 2, 2, 4, 0, 3, 2, 0, 4, 2, 4, 4, 2, 4, 3, 0, 2, 4, 1, 1, 4, 2, 3, 2, 2, 3, 3, 0, 2, 4, 0, 0, 4, 3, 1, 3, 2, 0, 1, 0, 4, 0, 3, 1, 4, 1, 0, 0, 3, 4, 0, 3, 3, 2, 1, 0, 1, 2, 4, 1, 3, 4, 0, 3, 1, 3, 4, 3, 3, 3, 4, 1, 1, 1, 1, 4, 3, 2, 2, 0, 1, 0, 2, 2, 0, 4, 3, 1, 0, 4, 3, 2, 4, 3, 0, 2, 3, 3, 3, 2, 0, 2, 0, 2, 0, 4, 4, 1, 4, 3, 2, 1, 2, 2, 1, 1, 1, 2, 1, 3, 0, 4, 2, 0, 4, 2, 2, 4, 1, 1, 4, 1, 1, 2, 1, 0, 0, 3, 3, 0, 4, 3, 2, 4, 4, 3, 0, 2, 4, 3, 0, 1, 3, 1, 2, 2, 1, 2, 4, 0, 0, 3, 0, 4, 4, 4, 2, 2, 2, 2, 0, 3, 0, 2, 0, 0, 3, 1, 1, 3, 3, 2, 0, 4, 4, 2, 2, 0, 4, 2, 4, 4, 3, 3, 2, 1, 2, 3, 4, 1, 4, 1, 2, 3, 3, 0, 0, 3, 3, 2, 3, 4, 2, 1, 3, 0, 3, 3, 4, 4, 0, 2, 4, 3, 3, 4, 4, 0, 0, 2, 1, 0, 0, 3, 1, 3, 2, 0, 2, 4, 2, 4, 3, 4, 3, 3, 0, 3, 4, 3, 0, 2, 3, 2, 4, 4, 3, 0, 4, 1, 1, 1, 4, 4, 0, 0, 3, 4, 0, 0, 2, 1, 1, 1, 3, 1, 0, 1, 3, 3, 0, 0, 2, 0, 2, 3, 2, 2, 1, 0, 0, 2, 4, 0, 0, 4, 3, 2, 4, 1, 3, 0, 3, 1, 2, 2, 4, 2, 1, 3, 1, 2, 2, 3, 2, 3, 2, 0, 4, 3, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 3, 2, 1, 1, 2, 2, 1, 2, 3, 4, 1, 3, 4, 3, 0, 0, 0, 0, 1, 4, 1, 1, 4, 0, 0, 1, 1, 0, 0, 3, 0, 2, 2, 4, 3, 1, 3, 4, 2, 1, 0, 2, 3, 4, 1, 2, 1, 4, 0, 1, 0, 1, 1, 1, 4, 4, 2, 4, 4, 2, 4, 4, 2]
pubkeycol1202 = [0, 4, 4, 2, 3, 2, 3, 2, 1, 3, 3, 3, 3, 4, 4, 1, 3, 4, 4, 2, 2, 1, 4, 0, 1, 3, 0, 2, 1, 1, 2, 1, 0, 4, 2, 1, 3, 4, 2, 0, 4, 0, 2, 1, 3, 3, 2, 4, 4, 0, 3, 2, 3, 2, 4, 4, 4, 3, 2, 2, 1, 3, 4, 1, 4, 2, 4, 0, 4, 1, 2, 4, 2, 4, 3, 0, 3, 3, 4, 3, 0, 2, 1, 2, 2, 4, 1, 4, 4, 0, 0, 0, 0, 1, 3, 1, 3, 3, 2, 4, 4, 0, 0, 3, 2, 3, 0, 1, 0, 4, 4, 2, 0, 0, 1, 1, 3, 1, 2, 4, 2, 4, 4, 3, 1, 4, 2, 2, 2, 1, 0, 4, 4, 0, 0, 3, 4, 2, 3, 3, 1, 2, 1, 0, 3, 2, 1, 4, 2, 3, 2, 3, 3, 0, 2, 2, 3, 2, 2, 0, 2, 2, 0, 4, 3, 0, 4, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 3, 2, 4, 1, 1, 4, 2, 3, 2, 1, 3, 1, 1, 3, 3, 3, 4, 4, 1, 4, 2, 1, 2, 3, 4, 3, 4, 4, 1, 4, 2, 2, 2, 2, 2, 0, 0, 4, 1, 2, 0, 3, 3, 0, 2, 4, 0, 3, 3, 0, 0, 1, 3, 3, 2, 3, 4, 0, 3, 0, 3, 4, 0, 1, 4, 4, 1, 4, 4, 2, 2, 0, 0, 1, 4, 0, 3, 0, 1, 4, 2, 2, 4, 1, 4, 4, 3, 1, 3, 0, 0, 0, 4, 2, 0, 3, 3, 1, 1, 2, 4, 0, 4, 0, 1, 4, 2, 3, 4, 0, 4, 4, 3, 2, 2, 2, 2, 3, 4, 4, 4, 0, 0, 1, 4, 2, 0, 3, 3, 4, 4, 1, 2, 1, 2, 0, 3, 4, 1, 3, 4, 3, 0, 1, 1, 3, 2, 1, 4, 0, 0, 4, 3, 0, 0, 4, 2, 3, 0, 4, 2, 4, 2, 2, 0, 0, 3, 2, 4, 4, 2, 2, 1, 1, 0, 2, 0, 1, 4, 1, 0, 1, 1, 1, 0, 2, 4, 4, 0, 2, 1, 1, 4, 1, 4, 3, 4, 0, 0, 4, 3, 1, 0, 4, 3, 1, 2, 0, 0, 3, 3, 3, 2, 2, 4, 4, 2, 1, 0, 0, 4, 3, 4, 2, 1, 3, 4, 0, 4, 3, 2, 4, 1, 4, 3, 4, 1, 1, 3, 0, 2, 3, 1, 4, 2, 2, 1, 4, 4, 1, 0, 4, 2, 3, 4, 0, 3, 0, 3, 3, 3, 2, 3, 3, 1, 2, 3, 4, 1, 1, 0, 4, 2, 3, 2, 4, 1, 4, 4, 4, 1, 4, 2, 1, 3, 3, 4, 2, 4, 3, 1, 0, 0, 4, 0, 4, 0, 2, 3, 0, 3, 3, 2, 2, 2, 0, 1, 0, 2, 4, 3, 3, 1, 1, 4, 1, 1, 0, 4, 1, 1, 3, 4, 3, 4, 3, 2, 0]
pubkeycol1203 = [1, 4, 1, 1, 3, 2, 1, 3, 2, 2, 3, 2, 3, 2, 3, 0, 1, 2, 4, 2, 3, 3, 2, 0, 1, 0, 3, 0, 4, 0, 3, 1, 4, 1, 0, 1, 0, 1, 2, 0, 2, 3, 3, 0, 3, 1, 2, 2, 1, 1, 1, 4, 4, 0, 2, 3, 3, 3, 0, 3, 1, 0, 1, 0, 3, 0, 1, 4, 1, 3, 3, 4, 3, 4, 3, 2, 4, 3, 0, 3, 0, 0, 4, 2, 2, 0, 3, 1, 0, 2, 1, 0, 4, 3, 4, 4, 0, 3, 0, 0, 1, 1, 2, 4, 0, 1, 2, 3, 0, 2, 2, 1, 4, 3, 4, 0, 3, 3, 4, 4, 1, 4, 2, 2, 1, 4, 3, 2, 0, 2, 0, 0, 0, 1, 4, 1, 4, 2, 2, 4, 0, 2, 1, 3, 1, 1, 4, 0, 4, 2, 4, 2, 2, 3, 0, 3, 2, 0, 3, 4, 3, 2, 2, 2, 0, 1, 3, 0, 2, 4, 0, 3, 1, 2, 1, 4, 0, 2, 2, 1, 2, 3, 0, 3, 1, 0, 2, 4, 3, 0, 1, 3, 2, 1, 4, 2, 4, 3, 1, 3, 3, 3, 3, 1, 4, 2, 4, 0, 2, 3, 3, 3, 1, 0, 4, 4, 1, 4, 3, 1, 1, 2, 4, 0, 2, 2, 1, 4, 1, 4, 3, 4, 0, 3, 2, 0, 0, 3, 3, 2, 1, 1, 2, 4, 2, 0, 4, 1, 2, 1, 1, 3, 1, 2, 4, 2, 0, 4, 2, 2, 4, 2, 3, 2, 4, 4, 4, 1, 0, 1, 3, 4, 1, 3, 3, 1, 4, 0, 1, 2, 1, 1, 4, 4, 4, 1, 0, 1, 2, 3, 0, 3, 0, 1, 0, 3, 0, 1, 4, 0, 2, 4, 1, 4, 3, 1, 2, 4, 2, 4, 3, 2, 4, 1, 1, 1, 2, 1, 2, 2, 4, 1, 1, 4, 2, 3, 2, 3, 0, 2, 4, 2, 4, 1, 3, 1, 4, 4, 1, 4, 4, 3, 0, 2, 2, 2, 0, 3, 1, 2, 2, 0, 2, 0, 1, 0, 1, 4, 3, 3, 4, 3, 1, 4, 0, 0, 1, 4, 0, 0, 3, 1, 3, 1, 2, 0, 0, 3, 2, 1, 2, 1, 4, 3, 3, 4, 4, 4, 4, 1, 1, 4, 1, 1, 0, 1, 1, 0, 0, 2, 0, 3, 2, 0, 3, 1, 0, 0, 0, 2, 1, 3, 1, 4, 1, 0, 0, 2, 1, 4, 3, 2, 1, 1, 2, 4, 4, 3, 1, 1, 4, 1, 2, 0, 0, 2, 3, 3, 2, 0, 2, 0, 4, 2, 4, 1, 1, 4, 2, 1, 3, 1, 2, 4, 4, 0, 3, 1, 0, 1, 2, 4, 3, 4, 2, 0, 1, 4, 1, 2, 1, 1, 1, 0, 2, 2, 4, 0, 3, 3, 4, 3, 4, 3, 0, 4, 3, 0, 3, 4, 0, 0, 3, 1, 2, 3, 4, 1, 2, 3, 4, 2, 4, 0, 0]
pubkeycol1204 = [2, 1, 1, 3, 2, 0, 2, 4, 4, 0, 1, 1, 2, 1, 1, 4, 3, 0, 0, 2, 4, 4, 3, 1, 2, 2, 2, 1, 3, 3, 0, 4, 0, 2, 3, 3, 0, 2, 3, 2, 2, 2, 0, 0, 1, 1, 4, 2, 2, 1, 3, 2, 3, 4, 4, 1, 0, 4, 3, 0, 2, 4, 4, 0, 2, 1, 0, 3, 4, 0, 1, 2, 2, 3, 4, 2, 2, 0, 3, 0, 1, 4, 2, 3, 1, 4, 2, 1, 1, 0, 0, 3, 3, 3, 3, 0, 2, 0, 1, 2, 2, 0, 3, 1, 3, 4, 2, 3, 4, 1, 1, 2, 2, 4, 3, 4, 4, 3, 2, 4, 3, 1, 4, 4, 2, 1, 3, 2, 2, 0, 2, 4, 4, 3, 0, 3, 3, 0, 4, 3, 0, 3, 3, 2, 4, 1, 3, 0, 1, 1, 3, 1, 4, 0, 0, 4, 1, 4, 3, 0, 4, 2, 1, 1, 2, 1, 2, 2, 3, 4, 3, 3, 0, 4, 2, 2, 3, 1, 4, 3, 3, 1, 3, 3, 3, 1, 2, 2, 4, 0, 1, 1, 4, 3, 3, 2, 0, 4, 0, 3, 4, 2, 4, 0, 1, 0, 0, 4, 4, 3, 4, 1, 2, 4, 0, 1, 2, 4, 4, 4, 2, 3, 0, 3, 0, 2, 2, 3, 0, 0, 1, 4, 2, 0, 3, 3, 2, 1, 4, 0, 0, 3, 2, 0, 0, 1, 2, 4, 0, 4, 1, 0, 2, 4, 1, 4, 0, 2, 0, 3, 1, 4, 2, 4, 1, 1, 3, 4, 0, 2, 1, 2, 4, 4, 0, 4, 4, 1, 2, 1, 3, 1, 3, 4, 2, 0, 3, 0, 1, 3, 4, 4, 0, 1, 3, 0, 0, 3, 2, 0, 1, 4, 1, 3, 0, 0, 0, 0, 4, 0, 0, 3, 4, 2, 1, 0, 1, 3, 4, 2, 4, 4, 4, 4, 0, 1, 1, 3, 0, 3, 4, 1, 4, 4, 4, 1, 4, 4, 2, 3, 2, 1, 0, 1, 2, 1, 2, 0, 0, 4, 1, 1, 0, 2, 2, 3, 0, 4, 3, 3, 3, 4, 3, 0, 0, 3, 4, 3, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 4, 0, 4, 1, 0, 0, 3, 2, 2, 0, 0, 4, 0, 4, 3, 1, 4, 2, 0, 4, 1, 3, 1, 3, 2, 0, 2, 0, 3, 3, 1, 2, 0, 4, 2, 0, 1, 2, 0, 0, 2, 3, 3, 2, 0, 2, 2, 4, 4, 0, 3, 1, 0, 1, 1, 2, 2, 3, 3, 3, 2, 0, 3, 1, 1, 3, 4, 3, 3, 1, 3, 0, 1, 0, 0, 1, 0, 3, 3, 2, 3, 2, 2, 4, 1, 1, 3, 1, 1, 4, 3, 3, 4, 0, 1, 4, 0, 4, 1, 2, 0, 2, 1, 4, 0, 2, 3, 1, 0, 0, 1, 3, 2, 2, 3, 3, 0, 4, 4, 1, 4]
pubkeycol1205 = [1, 0, 1, 0, 0, 0, 4, 1, 4, 0, 2, 0, 4, 1, 2, 2, 3, 1, 1, 4, 4, 2, 4, 0, 3, 4, 3, 0, 1, 0, 4, 3, 3, 2, 4, 2, 4, 4, 4, 1, 0, 1, 2, 2, 0, 3, 3, 1, 4, 1, 3, 2, 4, 1, 2, 1, 3, 0, 0, 3, 3, 4, 0, 4, 0, 3, 4, 2, 2, 1, 4, 1, 1, 1, 3, 4, 1, 0, 0, 1, 1, 1, 0, 3, 2, 4, 2, 0, 4, 4, 0, 0, 0, 4, 1, 4, 3, 1, 3, 1, 2, 1, 4, 1, 2, 1, 1, 4, 4, 3, 0, 4, 2, 2, 3, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 4, 4, 1, 3, 0, 3, 1, 4, 2, 1, 0, 3, 1, 2, 1, 2, 0, 2, 0, 4, 3, 3, 1, 1, 0, 3, 4, 0, 3, 2, 4, 0, 3, 1, 3, 2, 3, 1, 2, 2, 0, 0, 2, 0, 1, 2, 3, 3, 2, 1, 3, 1, 0, 0, 2, 3, 2, 3, 4, 3, 4, 1, 1, 2, 0, 1, 3, 1, 2, 4, 3, 3, 0, 3, 0, 4, 0, 1, 4, 1, 1, 1, 3, 2, 3, 3, 4, 2, 1, 2, 4, 1, 1, 3, 1, 1, 3, 0, 0, 4, 3, 0, 3, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 4, 1, 3, 0, 1, 3, 2, 2, 1, 4, 2, 1, 2, 4, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 4, 1, 2, 4, 2, 0, 0, 4, 2, 2, 1, 3, 0, 3, 3, 0, 2, 0, 4, 2, 1, 3, 3, 1, 3, 4, 2, 4, 2, 2, 2, 0, 4, 1, 1, 4, 3, 2, 2, 3, 3, 2, 2, 3, 4, 4, 4, 4, 3, 4, 4, 2, 0, 2, 3, 0, 3, 4, 2, 0, 4, 4, 1, 4, 4, 3, 4, 2, 0, 4, 1, 0, 3, 0, 0, 4, 2, 2, 4, 1, 3, 4, 3, 0, 3, 0, 2, 3, 3, 2, 0, 3, 4, 0, 0, 2, 0, 2, 4, 0, 2, 3, 4, 3, 2, 3, 0, 3, 4, 2, 3, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 3, 1, 3, 4, 4, 1, 4, 4, 1, 1, 1, 1, 4, 1, 2, 4, 3, 2, 4, 1, 2, 0, 3, 3, 2, 0, 2, 3, 1, 1, 3, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 1, 4, 1, 3, 3, 0, 0, 2, 1, 0, 0, 2, 2, 0, 3, 3, 2, 4, 4, 1, 1, 0, 4, 2, 4, 1, 2, 4, 1, 1, 3, 0, 2, 2, 2, 0, 3, 2, 0, 2, 1, 1, 2, 3, 1, 4, 2, 4, 2, 1, 4, 2, 2, 3, 0, 1, 2, 3, 2, 2, 2, 0, 4, 2, 3, 3, 1, 2, 0, 1, 4, 3, 2]
pubkeycol1206 = [1, 4, 2, 2, 4, 0, 4, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 3, 3, 3, 3, 4, 2, 3, 2, 2, 4, 3, 1, 4, 2, 1, 1, 2, 1, 0, 1, 3, 1, 0, 3, 1, 3, 3, 4, 0, 3, 1, 3, 2, 0, 3, 4, 0, 3, 2, 4, 1, 4, 1, 4, 4, 3, 3, 4, 1, 0, 1, 3, 4, 2, 0, 4, 2, 2, 1, 1, 4, 0, 1, 3, 2, 3, 3, 4, 0, 2, 3, 0, 2, 1, 4, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 3, 2, 2, 3, 1, 4, 3, 0, 0, 4, 0, 2, 3, 2, 3, 0, 1, 1, 4, 0, 2, 3, 3, 0, 1, 1, 0, 4, 2, 0, 4, 2, 1, 0, 0, 1, 2, 0, 4, 0, 2, 4, 0, 4, 4, 1, 2, 0, 0, 1, 1, 1, 2, 3, 1, 4, 3, 0, 1, 0, 3, 3, 4, 4, 1, 1, 4, 4, 0, 3, 2, 0, 4, 1, 0, 2, 0, 0, 0, 0, 1, 4, 0, 0, 0, 2, 2, 4, 0, 3, 0, 0, 0, 0, 4, 4, 1, 4, 0, 0, 4, 3, 2, 3, 1, 0, 0, 2, 1, 3, 0, 3, 3, 3, 3, 0, 0, 3, 1, 4, 2, 0, 4, 3, 4, 2, 2, 2, 1, 2, 0, 1, 1, 3, 3, 3, 4, 4, 1, 1, 0, 1, 4, 0, 0, 0, 1, 0, 0, 1, 4, 1, 1, 1, 1, 0, 1, 4, 0, 1, 3, 4, 2, 4, 3, 1, 0, 0, 4, 0, 1, 1, 2, 2, 1, 4, 0, 4, 4, 4, 1, 2, 2, 4, 0, 1, 4, 1, 0, 4, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 4, 1, 3, 4, 2, 3, 1, 2, 1, 0, 1, 2, 3, 4, 0, 2, 4, 4, 2, 0, 1, 4, 4, 3, 2, 2, 0, 3, 3, 2, 3, 3, 0, 0, 3, 1, 3, 3, 2, 2, 4, 1, 4, 4, 4, 0, 3, 3, 0, 4, 0, 2, 2, 4, 2, 3, 4, 2, 2, 2, 2, 4, 1, 0, 4, 3, 2, 4, 4, 4, 4, 4, 1, 4, 0, 0, 0, 1, 3, 0, 2, 4, 3, 1, 0, 4, 1, 1, 1, 4, 1, 2, 4, 0, 2, 0, 1, 3, 1, 3, 0, 1, 4, 2, 3, 0, 2, 0, 1, 2, 2, 2, 4, 2, 1, 2, 2, 3, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 4, 2, 3, 0, 1, 3, 2, 3, 2, 1, 4, 0, 1, 1, 0, 0, 2, 2, 0, 3, 2, 1, 3, 1, 0, 3, 2, 1, 3, 2, 1, 2, 0, 0, 2, 0, 0, 3, 2, 2, 3, 4, 0, 4, 1, 3, 4, 0, 4, 3, 1, 3, 4, 2, 3, 0, 3, 3, 4, 3, 1, 3, 0, 2, 0, 2, 1, 2]
pubkeycol1207 = [3, 3, 2, 4, 4, 0, 2, 2, 2, 2, 3, 1, 1, 1, 0, 1, 1, 3, 4, 3, 0, 2, 3, 1, 1, 3, 1, 2, 1, 1, 2, 0, 2, 4, 0, 0, 2, 0, 2, 1, 2, 4, 1, 1, 3, 4, 1, 0, 0, 1, 2, 4, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 4, 1, 1, 1, 3, 3, 0, 1, 3, 1, 3, 4, 4, 1, 4, 1, 0, 4, 4, 0, 3, 3, 3, 2, 0, 3, 3, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 3, 0, 0, 3, 0, 4, 4, 2, 1, 3, 4, 0, 0, 1, 3, 0, 1, 2, 1, 3, 4, 1, 1, 2, 3, 2, 1, 1, 0, 2, 0, 3, 1, 0, 3, 3, 0, 2, 0, 0, 4, 0, 1, 2, 2, 2, 4, 2, 4, 4, 0, 2, 4, 3, 1, 0, 4, 0, 2, 3, 4, 2, 2, 0, 1, 2, 0, 1, 3, 1, 1, 3, 1, 1, 3, 3, 3, 3, 4, 3, 0, 1, 2, 0, 2, 1, 4, 3, 2, 2, 0, 3, 2, 1, 2, 2, 3, 0, 1, 0, 3, 0, 2, 2, 2, 1, 1, 0, 4, 4, 2, 4, 2, 0, 3, 2, 2, 4, 2, 3, 4, 4, 2, 4, 1, 0, 2, 4, 2, 0, 0, 4, 1, 2, 0, 1, 3, 2, 3, 2, 2, 1, 0, 3, 1, 4, 0, 0, 4, 2, 0, 2, 2, 2, 0, 2, 3, 0, 0, 0, 4, 1, 2, 2, 0, 0, 3, 2, 2, 3, 2, 0, 1, 3, 2, 4, 3, 1, 3, 0, 1, 0, 1, 1, 2, 0, 1, 1, 4, 1, 2, 0, 2, 2, 2, 3, 2, 4, 0, 1, 2, 0, 3, 0, 0, 3, 3, 4, 1, 2, 4, 3, 3, 0, 1, 4, 1, 2, 4, 4, 2, 1, 0, 1, 4, 1, 2, 3, 2, 4, 3, 2, 0, 2, 1, 4, 4, 0, 1, 4, 3, 1, 4, 0, 3, 2, 2, 1, 3, 4, 3, 0, 2, 3, 2, 4, 3, 2, 3, 2, 2, 4, 3, 2, 4, 2, 1, 1, 2, 4, 1, 0, 0, 2, 2, 1, 4, 2, 1, 4, 4, 1, 1, 0, 0, 2, 3, 2, 4, 0, 1, 0, 4, 2, 1, 3, 3, 4, 3, 0, 2, 0, 2, 1, 4, 3, 4, 2, 3, 0, 0, 2, 1, 1, 0, 0, 1, 1, 4, 1, 4, 4, 3, 4, 1, 0, 2, 0, 4, 1, 2, 0, 4, 3, 1, 3, 2, 3, 4, 3, 3, 4, 2, 1, 2, 1, 0, 0, 3, 3, 1, 3, 1, 2, 3, 3, 2, 1, 0, 1, 0, 1, 2, 2, 3, 1, 2, 1, 2, 1, 2, 1, 1, 3, 3, 3, 3, 4, 2, 4, 4, 2, 4, 4, 4, 1, 0, 3, 1, 3, 4, 1, 2, 0, 0, 3, 2, 3, 1, 2, 0, 0, 1, 3, 3, 0]
pubkeycol1208 = [3, 2, 3, 4, 4, 0, 0, 2, 4, 2, 3, 4, 0, 4, 4, 1, 1, 2, 0, 1, 3, 4, 4, 4, 3, 3, 0, 1, 4, 0, 4, 4, 1, 1, 4, 4, 0, 0, 3, 1, 0, 2, 2, 4, 3, 1, 4, 3, 3, 3, 1, 0, 4, 0, 3, 2, 0, 2, 0, 2, 2, 4, 2, 0, 2, 1, 0, 4, 4, 1, 2, 1, 3, 0, 1, 0, 2, 3, 1, 3, 2, 2, 0, 2, 2, 1, 2, 3, 4, 3, 3, 4, 2, 2, 3, 3, 4, 0, 3, 1, 3, 0, 3, 0, 2, 2, 2, 3, 3, 2, 2, 1, 2, 0, 1, 0, 0, 4, 0, 1, 4, 2, 1, 0, 4, 3, 0, 0, 4, 2, 2, 0, 4, 0, 1, 4, 0, 2, 2, 2, 3, 1, 0, 1, 3, 1, 0, 1, 3, 4, 4, 3, 0, 3, 1, 4, 2, 2, 4, 0, 4, 2, 3, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 3, 1, 0, 1, 3, 4, 4, 2, 2, 0, 3, 3, 0, 3, 3, 3, 2, 4, 1, 3, 2, 1, 2, 0, 4, 3, 2, 3, 2, 4, 0, 2, 4, 2, 1, 1, 2, 0, 2, 0, 2, 2, 3, 4, 3, 0, 1, 1, 0, 3, 2, 2, 3, 2, 4, 2, 4, 2, 1, 4, 0, 1, 2, 0, 3, 3, 0, 2, 2, 1, 0, 0, 4, 2, 3, 3, 1, 2, 0, 4, 1, 0, 1, 2, 0, 3, 2, 1, 3, 3, 1, 3, 4, 2, 1, 2, 1, 3, 1, 3, 3, 1, 0, 4, 1, 1, 1, 0, 1, 4, 4, 0, 1, 3, 0, 4, 3, 0, 0, 2, 3, 3, 2, 1, 0, 3, 3, 4, 2, 1, 2, 0, 0, 4, 2, 4, 0, 0, 3, 2, 0, 1, 2, 3, 0, 2, 2, 4, 3, 4, 3, 3, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 3, 2, 3, 4, 4, 0, 3, 2, 3, 0, 2, 4, 1, 4, 2, 3, 3, 4, 2, 1, 3, 2, 4, 3, 3, 2, 2, 1, 2, 3, 4, 1, 2, 2, 2, 2, 1, 1, 4, 3, 4, 3, 0, 3, 1, 4, 4, 0, 2, 0, 2, 0, 1, 4, 1, 0, 0, 0, 2, 4, 4, 2, 3, 1, 3, 0, 4, 0, 1, 3, 2, 0, 3, 4, 4, 0, 4, 3, 1, 0, 1, 3, 4, 1, 2, 1, 4, 1, 4, 2, 4, 0, 3, 4, 2, 3, 1, 3, 0, 4, 0, 0, 2, 4, 1, 1, 3, 3, 1, 2, 1, 4, 4, 1, 4, 0, 1, 2, 1, 2, 4, 0, 0, 0, 2, 0, 2, 1, 3, 0, 4, 1, 2, 2, 4, 4, 1, 1, 2, 2, 4, 2, 3, 1, 0, 2, 3, 3, 2, 0, 0, 1, 3, 3, 2, 0, 0, 4, 4, 1, 4, 0, 1, 2, 2, 3, 4, 0, 4]
pubkeycol1209 = [2, 2, 2, 2, 0, 1, 3, 1, 0, 0, 4, 2, 3, 1, 3, 4, 2, 1, 2, 4, 1, 2, 1, 3, 0, 2, 4, 0, 2, 1, 0, 1, 4, 0, 3, 2, 4, 2, 0, 2, 3, 3, 3, 4, 3, 0, 0, 3, 0, 2, 0, 3, 1, 1, 4, 4, 3, 2, 3, 4, 4, 3, 4, 4, 1, 4, 3, 2, 4, 3, 2, 0, 2, 3, 1, 0, 1, 1, 3, 0, 4, 3, 1, 2, 1, 3, 1, 3, 2, 1, 1, 0, 4, 0, 0, 3, 4, 0, 1, 0, 0, 0, 4, 4, 0, 4, 1, 2, 0, 0, 3, 1, 0, 4, 1, 2, 2, 1, 2, 0, 2, 0, 2, 4, 2, 1, 4, 0, 3, 1, 0, 2, 3, 3, 0, 3, 0, 3, 0, 0, 4, 4, 0, 1, 3, 4, 1, 1, 1, 3, 4, 4, 4, 2, 0, 3, 1, 2, 1, 0, 4, 4, 1, 2, 3, 1, 1, 3, 0, 2, 4, 0, 3, 0, 2, 4, 2, 0, 0, 4, 2, 4, 0, 2, 0, 1, 0, 0, 2, 1, 1, 3, 4, 2, 4, 4, 1, 0, 2, 2, 0, 0, 0, 4, 2, 2, 2, 3, 1, 3, 0, 2, 3, 1, 2, 4, 4, 2, 3, 3, 0, 1, 4, 4, 1, 3, 3, 1, 3, 0, 3, 4, 0, 1, 4, 4, 0, 4, 4, 0, 4, 4, 1, 2, 1, 4, 4, 1, 0, 4, 0, 0, 4, 0, 1, 4, 2, 2, 0, 1, 2, 2, 1, 0, 0, 4, 2, 4, 2, 3, 4, 1, 2, 4, 2, 0, 3, 0, 1, 2, 2, 0, 2, 2, 2, 3, 0, 3, 1, 2, 0, 2, 3, 4, 0, 2, 0, 3, 0, 1, 0, 1, 2, 1, 4, 4, 2, 4, 2, 0, 2, 3, 3, 4, 4, 0, 2, 4, 1, 3, 3, 4, 0, 3, 4, 3, 3, 1, 3, 2, 0, 2, 2, 3, 1, 4, 4, 3, 3, 2, 1, 4, 2, 4, 1, 2, 1, 3, 4, 0, 2, 2, 3, 3, 0, 3, 4, 4, 1, 4, 3, 2, 4, 3, 3, 4, 1, 1, 1, 4, 0, 0, 1, 3, 1, 1, 0, 4, 0, 4, 2, 3, 2, 3, 0, 1, 1, 0, 3, 1, 3, 4, 3, 0, 1, 2, 3, 0, 0, 3, 3, 1, 4, 1, 2, 4, 4, 0, 2, 1, 4, 0, 0, 0, 0, 4, 2, 4, 1, 3, 0, 0, 3, 0, 3, 1, 2, 3, 0, 4, 0, 0, 3, 3, 2, 0, 1, 3, 1, 1, 0, 2, 1, 3, 1, 2, 4, 3, 0, 0, 1, 4, 4, 1, 1, 1, 3, 2, 2, 3, 0, 4, 0, 1, 0, 3, 0, 3, 0, 1, 3, 2, 2, 1, 0, 3, 0, 2, 0, 0, 3, 1, 3, 0, 2, 1, 2, 3, 3, 4, 0, 3, 4, 0, 0, 4, 1, 1, 4, 3, 3, 3, 3, 2, 3]
pubkeycol1210 = [4, 0, 3, 3, 4, 1, 3, 4, 4, 4, 1, 1, 4, 1, 0, 3, 1, 1, 1, 1, 0, 1, 3, 1, 1, 2, 3, 2, 2, 3, 3, 2, 2, 2, 4, 3, 2, 3, 0, 0, 0, 3, 1, 1, 4, 0, 1, 4, 4, 3, 0, 0, 0, 0, 1, 4, 4, 3, 2, 0, 3, 1, 4, 1, 4, 0, 0, 2, 2, 0, 1, 1, 1, 3, 2, 2, 3, 4, 0, 0, 4, 0, 3, 4, 3, 0, 4, 0, 0, 0, 1, 2, 4, 2, 3, 2, 0, 0, 3, 4, 4, 2, 2, 3, 3, 0, 1, 1, 0, 1, 3, 4, 3, 2, 4, 2, 2, 0, 4, 4, 0, 0, 2, 2, 3, 0, 3, 0, 0, 1, 3, 4, 0, 4, 1, 1, 3, 3, 1, 1, 1, 1, 1, 3, 2, 0, 3, 3, 0, 3, 4, 2, 2, 4, 1, 1, 2, 2, 3, 1, 1, 2, 2, 2, 0, 3, 2, 4, 2, 2, 2, 1, 1, 2, 4, 2, 2, 2, 0, 3, 0, 0, 2, 4, 2, 3, 4, 4, 2, 2, 3, 3, 0, 4, 2, 2, 1, 1, 2, 4, 3, 1, 1, 4, 3, 3, 0, 4, 1, 4, 4, 2, 2, 3, 1, 1, 2, 3, 2, 4, 0, 4, 0, 1, 3, 0, 0, 1, 1, 4, 2, 4, 0, 4, 3, 4, 2, 1, 3, 2, 4, 0, 2, 0, 4, 4, 3, 1, 1, 3, 2, 0, 4, 2, 4, 0, 3, 0, 3, 0, 4, 1, 1, 4, 0, 3, 3, 3, 1, 4, 3, 2, 1, 0, 1, 2, 0, 1, 3, 4, 2, 2, 3, 3, 4, 1, 0, 3, 3, 2, 0, 3, 2, 3, 4, 1, 2, 0, 3, 4, 0, 4, 3, 0, 1, 3, 1, 1, 3, 2, 4, 0, 2, 3, 1, 4, 4, 0, 3, 2, 0, 0, 3, 2, 0, 4, 0, 3, 2, 0, 2, 0, 4, 4, 0, 0, 0, 2, 2, 1, 2, 3, 2, 3, 4, 3, 1, 0, 3, 2, 2, 2, 2, 2, 4, 0, 4, 0, 1, 3, 1, 2, 2, 2, 4, 0, 4, 2, 3, 4, 3, 1, 1, 4, 2, 2, 0, 2, 3, 3, 3, 4, 4, 1, 3, 0, 1, 4, 3, 2, 1, 2, 4, 2, 4, 2, 3, 0, 1, 3, 4, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 3, 0, 2, 1, 4, 3, 4, 0, 2, 4, 1, 2, 4, 3, 3, 1, 3, 0, 2, 1, 1, 4, 1, 2, 3, 3, 4, 4, 0, 0, 0, 3, 3, 0, 3, 0, 0, 4, 0, 0, 0, 1, 4, 2, 0, 4, 1, 0, 4, 3, 1, 3, 0, 0, 1, 1, 3, 1, 3, 3, 2, 4, 2, 0, 3, 0, 1, 4, 1, 1, 4, 0, 3, 0, 3, 3, 0, 0, 2, 2, 1, 0, 1, 0, 2, 4, 2, 4, 2, 3, 3, 3, 3, 2]
pubkeycol1211 = [2, 1, 2, 1, 2, 0, 0, 3, 4, 1, 0, 4, 4, 4, 1, 1, 0, 3, 1, 2, 2, 0, 0, 2, 0, 4, 2, 0, 2, 0, 3, 2, 4, 1, 2, 3, 2, 0, 3, 0, 0, 0, 4, 0, 0, 2, 4, 1, 2, 4, 1, 2, 2, 3, 3, 0, 4, 4, 0, 1, 0, 1, 3, 3, 3, 0, 3, 1, 2, 4, 1, 2, 4, 4, 1, 3, 4, 0, 3, 1, 2, 3, 1, 1, 4, 4, 2, 4, 1, 4, 4, 4, 1, 2, 0, 2, 2, 4, 1, 1, 0, 3, 3, 0, 2, 3, 2, 3, 0, 3, 1, 3, 1, 1, 0, 0, 4, 4, 2, 4, 3, 0, 0, 2, 0, 4, 0, 0, 2, 4, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 4, 4, 4, 4, 2, 2, 1, 2, 1, 0, 2, 1, 1, 4, 0, 4, 0, 4, 4, 4, 2, 2, 1, 2, 1, 1, 1, 4, 3, 3, 0, 0, 4, 1, 1, 4, 0, 4, 0, 0, 3, 4, 4, 1, 3, 1, 4, 4, 2, 3, 2, 2, 2, 1, 4, 2, 4, 3, 0, 3, 2, 3, 0, 4, 4, 0, 4, 3, 4, 0, 4, 2, 4, 0, 3, 4, 4, 4, 4, 1, 3, 0, 0, 1, 0, 4, 2, 0, 2, 0, 4, 4, 0, 0, 4, 4, 1, 4, 0, 4, 0, 0, 0, 3, 4, 1, 1, 1, 2, 2, 0, 0, 3, 4, 1, 4, 1, 2, 0, 2, 2, 0, 0, 3, 2, 4, 1, 0, 0, 3, 4, 1, 0, 2, 4, 2, 3, 2, 4, 4, 4, 3, 3, 4, 2, 1, 0, 4, 2, 1, 2, 4, 2, 3, 1, 2, 2, 0, 0, 3, 0, 1, 0, 1, 3, 0, 0, 1, 4, 2, 0, 0, 2, 0, 0, 1, 2, 0, 4, 1, 1, 3, 3, 0, 4, 0, 4, 1, 2, 1, 2, 4, 1, 1, 3, 2, 4, 4, 0, 0, 2, 0, 4, 1, 4, 1, 0, 2, 3, 2, 0, 4, 3, 0, 0, 2, 2, 3, 1, 0, 2, 4, 3, 3, 1, 0, 2, 0, 4, 1, 3, 1, 1, 0, 3, 3, 0, 2, 4, 2, 1, 4, 0, 3, 4, 1, 4, 4, 1, 2, 0, 2, 2, 3, 3, 0, 3, 4, 4, 4, 4, 2, 1, 3, 3, 3, 2, 4, 4, 4, 3, 2, 3, 0, 4, 0, 1, 4, 1, 1, 1, 4, 1, 0, 4, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 3, 1, 4, 1, 3, 1, 1, 2, 3, 4, 4, 0, 2, 2, 2, 2, 1, 4, 0, 0, 1, 3, 0, 0, 4, 0, 3, 1, 3, 0, 3, 3, 4, 1, 0, 4, 2, 3, 3, 2, 4, 2, 4, 0, 2, 2, 3, 3, 3, 2, 1, 2, 3, 3, 2, 0, 1, 2, 4, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 4]
pubkeycol1212 = [3, 0, 1, 0, 3, 1, 4, 0, 3, 4, 1, 4, 4, 0, 2, 3, 3, 3, 4, 0, 0, 1, 2, 3, 1, 2, 4, 2, 4, 1, 3, 4, 1, 0, 4, 4, 2, 2, 3, 2, 2, 3, 1, 4, 4, 3, 3, 0, 2, 1, 1, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 3, 4, 3, 2, 0, 2, 2, 2, 1, 4, 2, 2, 1, 4, 2, 3, 3, 0, 2, 3, 4, 1, 3, 2, 3, 2, 4, 4, 2, 0, 3, 2, 0, 1, 1, 4, 3, 0, 1, 3, 4, 4, 4, 0, 0, 1, 0, 0, 3, 1, 4, 3, 0, 3, 0, 3, 1, 1, 3, 2, 2, 1, 0, 2, 2, 3, 1, 2, 2, 1, 2, 4, 1, 3, 3, 2, 1, 2, 2, 1, 2, 2, 1, 4, 3, 3, 3, 1, 3, 1, 2, 1, 3, 1, 3, 2, 0, 4, 0, 2, 2, 4, 1, 3, 3, 2, 2, 0, 3, 3, 2, 3, 0, 2, 1, 0, 2, 0, 1, 2, 3, 3, 2, 3, 0, 3, 0, 0, 1, 4, 0, 3, 2, 3, 2, 0, 1, 4, 4, 4, 4, 0, 1, 0, 4, 4, 4, 1, 0, 3, 2, 1, 0, 0, 4, 2, 1, 4, 2, 3, 2, 2, 3, 0, 3, 2, 0, 2, 3, 2, 4, 3, 0, 0, 3, 3, 3, 1, 2, 1, 0, 4, 4, 4, 3, 3, 2, 4, 3, 4, 3, 3, 0, 1, 4, 1, 4, 4, 2, 2, 1, 1, 3, 4, 3, 3, 2, 4, 0, 1, 2, 3, 3, 3, 0, 0, 4, 2, 1, 1, 4, 2, 1, 0, 1, 2, 1, 3, 4, 4, 3, 2, 4, 2, 0, 4, 0, 0, 0, 2, 1, 1, 0, 3, 0, 1, 0, 2, 3, 4, 0, 0, 4, 3, 4, 4, 3, 4, 0, 0, 2, 0, 4, 4, 4, 0, 4, 0, 4, 4, 2, 4, 2, 3, 0, 3, 2, 2, 2, 3, 0, 2, 4, 3, 2, 4, 0, 4, 2, 0, 0, 0, 2, 2, 4, 2, 2, 2, 0, 3, 0, 2, 0, 0, 3, 0, 2, 3, 0, 1, 0, 0, 1, 3, 2, 4, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 3, 2, 3, 3, 2, 4, 2, 1, 0, 0, 3, 2, 1, 1, 1, 1, 2, 1, 3, 1, 4, 0, 1, 2, 3, 1, 1, 3, 1, 4, 0, 1, 1, 2, 3, 4, 0, 3, 0, 2, 1, 4, 3, 2, 0, 2, 4, 0, 1, 0, 4, 1, 0, 1, 2, 2, 3, 3, 2, 2, 0, 0, 3, 3, 2, 2, 2, 2, 3, 4, 1, 1, 4, 1, 2, 0, 0, 0, 2, 2, 2, 3, 3, 2, 1, 4, 0, 2, 1, 0, 1, 2, 1, 2, 0, 3, 1, 4, 2, 2, 1, 0, 4, 3, 2, 4, 1, 3, 4, 2, 4, 0, 1, 1, 1, 1, 1]
pubkeycol1213 = [1, 2, 1, 3, 3, 3, 1, 3, 4, 0, 3, 4, 4, 0, 4, 0, 0, 4, 4, 4, 1, 0, 0, 4, 2, 1, 2, 2, 1, 4, 3, 0, 1, 4, 4, 3, 0, 4, 2, 2, 4, 2, 2, 3, 1, 3, 4, 0, 4, 4, 3, 1, 3, 3, 3, 0, 2, 0, 4, 0, 2, 0, 3, 2, 2, 3, 0, 4, 2, 1, 0, 3, 3, 2, 2, 3, 2, 1, 3, 2, 1, 1, 3, 3, 1, 0, 1, 0, 1, 2, 4, 4, 2, 0, 3, 3, 2, 1, 2, 0, 4, 1, 4, 0, 0, 0, 4, 1, 3, 2, 1, 2, 1, 1, 2, 3, 1, 3, 0, 4, 4, 1, 4, 4, 3, 3, 0, 1, 4, 0, 2, 0, 4, 0, 2, 2, 0, 1, 2, 1, 3, 4, 4, 2, 2, 3, 4, 3, 0, 1, 0, 3, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 4, 0, 4, 3, 3, 3, 1, 0, 3, 4, 1, 1, 0, 3, 1, 1, 1, 2, 0, 2, 1, 3, 3, 4, 3, 2, 2, 3, 2, 1, 4, 2, 2, 0, 1, 3, 0, 2, 2, 2, 3, 1, 1, 3, 2, 3, 2, 1, 3, 4, 4, 4, 0, 4, 4, 4, 2, 4, 4, 3, 1, 0, 0, 2, 3, 3, 1, 3, 1, 0, 0, 1, 1, 2, 1, 4, 1, 4, 0, 3, 1, 4, 2, 2, 0, 4, 1, 1, 1, 2, 1, 3, 3, 4, 1, 4, 0, 4, 1, 3, 4, 1, 3, 0, 2, 3, 3, 2, 4, 2, 4, 0, 1, 1, 0, 2, 4, 0, 0, 0, 3, 1, 0, 3, 3, 3, 1, 4, 4, 4, 3, 2, 2, 1, 0, 3, 2, 4, 1, 0, 1, 1, 3, 2, 2, 4, 4, 2, 0, 2, 1, 0, 4, 1, 3, 3, 2, 2, 0, 0, 3, 0, 3, 4, 1, 0, 3, 3, 4, 3, 2, 4, 4, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 4, 2, 2, 4, 0, 2, 4, 0, 2, 4, 0, 4, 3, 3, 3, 4, 2, 4, 0, 0, 2, 0, 4, 2, 4, 3, 4, 2, 0, 1, 2, 0, 3, 1, 0, 4, 4, 1, 2, 1, 2, 4, 2, 1, 4, 2, 4, 2, 1, 0, 1, 1, 2, 4, 2, 2, 4, 4, 3, 2, 2, 2, 4, 4, 3, 0, 3, 2, 3, 1, 3, 1, 1, 0, 3, 1, 1, 2, 1, 4, 3, 4, 1, 1, 4, 2, 4, 4, 2, 0, 3, 1, 4, 1, 1, 4, 4, 4, 3, 3, 3, 0, 1, 4, 1, 0, 4, 4, 3, 2, 2, 1, 3, 1, 3, 1, 3, 2, 1, 3, 2, 2, 0, 3, 3, 1, 0, 4, 2, 2, 3, 0, 1, 3, 2, 1, 4, 0, 1, 3, 3, 0, 0, 4, 2, 0, 0, 3, 1, 3, 2, 2, 0]
pubkeycol1214 = [3, 3, 2, 0, 4, 2, 3, 3, 4, 4, 3, 4, 0, 4, 4, 1, 1, 2, 0, 2, 3, 3, 4, 3, 2, 0, 3, 0, 1, 2, 2, 2, 0, 1, 2, 1, 3, 4, 1, 2, 4, 1, 3, 0, 0, 3, 0, 1, 3, 2, 2, 3, 4, 1, 1, 0, 4, 4, 2, 2, 4, 3, 1, 1, 0, 0, 2, 4, 2, 2, 1, 3, 0, 2, 3, 3, 1, 1, 4, 3, 4, 1, 0, 4, 0, 3, 2, 3, 4, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 4, 4, 2, 4, 1, 1, 0, 0, 3, 0, 0, 0, 1, 1, 0, 0, 3, 0, 3, 3, 0, 0, 4, 3, 4, 4, 4, 4, 2, 3, 0, 2, 0, 4, 1, 4, 4, 0, 4, 4, 0, 3, 3, 0, 1, 1, 1, 3, 1, 3, 2, 4, 4, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 4, 0, 1, 0, 4, 3, 3, 2, 4, 1, 2, 0, 2, 0, 4, 0, 2, 4, 4, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 4, 2, 2, 4, 0, 0, 0, 1, 4, 3, 1, 1, 2, 2, 3, 3, 0, 0, 1, 0, 0, 0, 4, 0, 1, 0, 0, 1, 3, 1, 3, 2, 3, 1, 3, 3, 2, 2, 2, 2, 4, 3, 3, 2, 1, 1, 0, 3, 3, 0, 3, 4, 0, 0, 3, 3, 3, 1, 4, 2, 1, 4, 2, 0, 4, 4, 0, 4, 2, 0, 2, 2, 1, 2, 0, 1, 3, 2, 0, 2, 2, 4, 1, 1, 3, 1, 3, 2, 2, 2, 3, 0, 3, 3, 1, 4, 4, 2, 4, 2, 2, 1, 3, 4, 3, 0, 2, 3, 3, 2, 3, 1, 2, 1, 0, 3, 2, 4, 2, 4, 0, 1, 3, 0, 1, 4, 3, 0, 4, 2, 2, 4, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 3, 3, 3, 1, 3, 2, 3, 4, 4, 0, 2, 2, 0, 3, 1, 2, 3, 0, 0, 4, 2, 1, 1, 3, 0, 2, 4, 1, 1, 3, 1, 2, 3, 4, 2, 0, 0, 4, 3, 0, 2, 1, 2, 1, 1, 2, 0, 4, 3, 4, 0, 0, 1, 1, 0, 1, 1, 4, 0, 1, 4, 2, 4, 3, 1, 2, 4, 2, 2, 1, 0, 1, 2, 2, 3, 0, 4, 3, 0, 4, 2, 3, 1, 1, 3, 0, 1, 0, 1, 1, 1, 3, 2, 0, 3, 1, 4, 0, 1, 1, 0, 3, 4, 2, 4, 3, 3, 0, 2, 1, 1, 3, 4, 1, 0, 2, 2, 4, 0, 4, 4, 1, 0, 0, 1, 3, 4, 0, 2, 0, 0, 0, 3, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 4, 2, 2, 3, 2, 3, 1, 3, 2, 3, 3, 0, 1, 2, 3, 2, 0]
pubkeycol1215 = [2, 0, 1, 3, 3, 4, 0, 0, 3, 1, 4, 4, 1, 3, 0, 0, 3, 4, 3, 4, 2, 2, 1, 4, 0, 1, 0, 3, 0, 3, 1, 2, 3, 3, 3, 2, 0, 0, 4, 3, 4, 3, 4, 0, 1, 1, 1, 2, 4, 2, 0, 2, 1, 1, 4, 0, 4, 0, 0, 4, 1, 1, 4, 4, 3, 0, 3, 2, 4, 3, 0, 3, 1, 4, 4, 2, 3, 3, 4, 3, 0, 0, 4, 3, 2, 4, 1, 4, 0, 2, 3, 4, 0, 0, 0, 0, 4, 0, 1, 4, 2, 3, 1, 3, 0, 4, 4, 2, 4, 0, 1, 1, 4, 0, 1, 2, 2, 0, 2, 0, 0, 4, 1, 1, 2, 3, 2, 1, 1, 2, 0, 3, 3, 4, 1, 1, 1, 4, 3, 4, 3, 4, 1, 0, 1, 1, 4, 2, 1, 4, 4, 3, 1, 3, 3, 3, 2, 1, 4, 0, 1, 1, 3, 0, 3, 1, 2, 2, 0, 2, 1, 4, 0, 2, 3, 3, 0, 2, 0, 1, 4, 1, 3, 4, 1, 2, 0, 4, 3, 2, 0, 0, 3, 2, 1, 1, 4, 2, 4, 1, 4, 3, 3, 2, 2, 2, 2, 1, 4, 2, 2, 2, 2, 0, 0, 4, 2, 2, 2, 2, 0, 3, 4, 1, 0, 1, 0, 2, 2, 4, 4, 1, 1, 3, 1, 2, 1, 2, 4, 1, 3, 3, 1, 2, 2, 1, 2, 2, 4, 2, 1, 1, 0, 4, 3, 0, 4, 0, 2, 1, 1, 4, 0, 0, 3, 3, 0, 4, 2, 0, 2, 3, 1, 0, 0, 3, 2, 4, 3, 2, 2, 1, 2, 0, 0, 2, 4, 0, 4, 3, 3, 3, 0, 2, 1, 2, 1, 0, 3, 4, 1, 1, 0, 3, 1, 1, 4, 4, 3, 2, 0, 3, 2, 0, 3, 1, 1, 0, 1, 2, 1, 0, 1, 4, 3, 2, 2, 1, 0, 0, 1, 1, 3, 1, 3, 1, 1, 3, 4, 3, 3, 0, 1, 0, 3, 3, 2, 1, 3, 2, 4, 4, 4, 4, 2, 0, 4, 1, 4, 0, 4, 1, 2, 3, 4, 0, 2, 2, 4, 3, 3, 3, 3, 2, 3, 0, 3, 4, 1, 2, 4, 3, 2, 1, 4, 2, 3, 4, 3, 1, 4, 1, 0, 4, 4, 1, 1, 2, 3, 4, 0, 2, 1, 1, 4, 3, 2, 2, 0, 0, 1, 0, 1, 3, 4, 2, 2, 2, 2, 1, 1, 2, 4, 2, 1, 2, 4, 2, 1, 4, 4, 3, 3, 1, 2, 1, 3, 1, 3, 4, 0, 1, 2, 4, 0, 1, 1, 3, 4, 1, 4, 3, 2, 4, 4, 0, 0, 2, 2, 1, 3, 0, 3, 4, 4, 0, 2, 1, 0, 0, 2, 4, 3, 3, 2, 3, 0, 4, 0, 0, 1, 2, 1, 4, 1, 4, 4, 3, 2, 1, 2, 0, 3, 3, 3, 4, 1, 0, 1, 4, 3, 1, 4, 4, 1]
pubkeycol1216 = [0, 0, 3, 4, 0, 1, 3, 1, 4, 1, 4, 1, 4, 4, 3, 4, 2, 3, 2, 4, 0, 0, 2, 1, 3, 1, 1, 4, 2, 1, 4, 2, 3, 2, 1, 4, 2, 3, 4, 4, 2, 3, 3, 3, 2, 4, 0, 1, 1, 4, 4, 1, 2, 2, 0, 3, 0, 3, 2, 0, 4, 3, 2, 2, 0, 0, 3, 1, 1, 1, 1, 4, 0, 4, 3, 1, 4, 0, 1, 2, 3, 1, 1, 4, 3, 2, 2, 1, 1, 2, 1, 1, 1, 4, 2, 4, 4, 0, 4, 4, 1, 0, 3, 1, 4, 2, 1, 0, 0, 3, 1, 1, 1, 0, 2, 3, 1, 1, 4, 3, 2, 2, 4, 4, 0, 2, 0, 1, 2, 3, 0, 0, 3, 1, 1, 4, 2, 4, 1, 3, 4, 2, 4, 0, 4, 4, 3, 4, 2, 0, 3, 1, 4, 0, 0, 4, 2, 1, 1, 0, 4, 0, 3, 3, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 3, 3, 0, 3, 0, 0, 0, 1, 2, 4, 1, 4, 2, 4, 4, 4, 0, 4, 1, 1, 3, 0, 4, 4, 4, 3, 2, 4, 1, 2, 1, 4, 4, 4, 1, 3, 2, 4, 4, 2, 0, 3, 3, 2, 2, 4, 4, 2, 3, 3, 1, 1, 4, 4, 0, 3, 3, 2, 1, 4, 3, 1, 4, 2, 0, 0, 4, 0, 4, 2, 2, 2, 0, 1, 2, 0, 0, 2, 4, 3, 0, 0, 3, 1, 4, 3, 0, 2, 0, 2, 2, 3, 2, 1, 0, 3, 0, 2, 3, 0, 2, 4, 4, 0, 1, 4, 3, 4, 2, 3, 3, 3, 2, 1, 3, 4, 0, 1, 2, 1, 4, 4, 2, 0, 1, 2, 3, 3, 0, 1, 3, 1, 1, 1, 1, 0, 4, 3, 2, 0, 0, 0, 2, 0, 4, 4, 3, 4, 3, 3, 2, 0, 0, 4, 4, 0, 2, 0, 3, 0, 2, 0, 4, 1, 4, 1, 2, 2, 1, 3, 2, 0, 4, 0, 3, 4, 1, 2, 2, 3, 0, 3, 2, 3, 3, 3, 3, 0, 2, 3, 2, 2, 0, 1, 4, 0, 2, 2, 4, 3, 4, 3, 4, 0, 4, 3, 1, 2, 0, 4, 0, 0, 4, 2, 2, 1, 3, 4, 2, 0, 3, 2, 4, 3, 1, 1, 4, 1, 3, 2, 1, 0, 1, 2, 4, 1, 3, 1, 1, 2, 3, 4, 0, 3, 0, 0, 4, 4, 0, 0, 1, 4, 4, 1, 3, 1, 4, 0, 3, 0, 3, 4, 2, 1, 0, 0, 4, 0, 4, 1, 3, 3, 0, 2, 0, 2, 3, 0, 2, 3, 2, 3, 0, 1, 1, 3, 2, 1, 3, 1, 2, 0, 3, 2, 3, 3, 4, 1, 4, 4, 4, 0, 0, 2, 2, 3, 1, 0, 0, 1, 3, 1, 1, 2, 3, 1, 3, 0, 3, 0, 3, 3, 3, 4, 3, 4, 1, 4, 4]
pubkeycol1217 = [4, 0, 4, 3, 3, 0, 2, 0, 2, 2, 3, 0, 4, 4, 1, 3, 0, 3, 4, 1, 4, 0, 2, 0, 3, 4, 1, 3, 2, 0, 0, 1, 0, 3, 2, 2, 3, 1, 4, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 4, 0, 4, 1, 3, 0, 3, 0, 2, 4, 3, 2, 1, 0, 1, 0, 1, 3, 1, 3, 4, 0, 4, 1, 0, 4, 0, 3, 2, 3, 4, 0, 4, 3, 0, 3, 0, 4, 2, 4, 3, 3, 0, 0, 3, 1, 1, 2, 1, 4, 2, 1, 3, 0, 1, 0, 1, 3, 3, 1, 2, 1, 0, 3, 0, 4, 0, 0, 3, 1, 4, 3, 4, 0, 3, 0, 3, 0, 1, 0, 3, 0, 2, 2, 4, 0, 3, 4, 0, 1, 4, 4, 0, 2, 2, 3, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 3, 3, 1, 2, 2, 2, 2, 4, 1, 0, 3, 1, 1, 1, 1, 4, 0, 1, 0, 4, 2, 3, 1, 4, 0, 3, 0, 3, 2, 2, 2, 4, 2, 1, 2, 0, 0, 1, 0, 1, 4, 2, 3, 1, 0, 2, 0, 0, 3, 2, 2, 2, 3, 4, 2, 2, 2, 3, 3, 2, 0, 4, 0, 0, 4, 0, 1, 3, 1, 3, 1, 2, 2, 4, 2, 4, 4, 1, 3, 3, 2, 3, 0, 4, 3, 1, 4, 2, 1, 2, 3, 4, 1, 3, 4, 4, 1, 4, 4, 1, 0, 4, 0, 3, 4, 0, 2, 1, 1, 3, 2, 1, 2, 2, 0, 4, 3, 2, 2, 4, 1, 3, 1, 2, 1, 3, 4, 2, 4, 4, 0, 4, 0, 1, 1, 2, 4, 4, 3, 4, 4, 2, 3, 3, 2, 0, 3, 3, 3, 0, 1, 2, 4, 0, 4, 0, 4, 2, 4, 2, 3, 2, 4, 0, 1, 1, 4, 0, 2, 4, 1, 1, 0, 3, 2, 4, 1, 4, 3, 0, 3, 0, 2, 4, 3, 2, 4, 4, 3, 4, 0, 3, 1, 1, 1, 0, 4, 4, 3, 0, 2, 1, 0, 1, 2, 3, 4, 2, 3, 2, 4, 2, 0, 0, 0, 1, 3, 3, 4, 0, 1, 2, 3, 2, 0, 4, 4, 0, 4, 4, 2, 3, 4, 3, 4, 4, 0, 1, 2, 3, 0, 0, 3, 0, 2, 1, 2, 1, 4, 1, 3, 1, 0, 2, 2, 0, 1, 3, 1, 1, 2, 3, 3, 2, 2, 2, 2, 1, 0, 2, 4, 2, 4, 0, 0, 3, 4, 2, 1, 1, 1, 0, 1, 3, 3, 3, 3, 1, 1, 4, 4, 2, 4, 1, 0, 4, 0, 3, 4, 4, 3, 0, 2, 0, 1, 4, 0, 2, 3, 0, 1, 2, 0, 3, 2, 3, 2, 2, 3, 4, 0, 2, 0, 0, 2, 4, 4, 2, 1, 2, 0, 2, 4, 0, 4, 1, 2, 4, 3, 1, 0, 2, 0, 1, 3, 4, 4, 4, 1]
pubkeycol1218 = [4, 4, 2, 0, 0, 2, 0, 0, 2, 4, 2, 4, 0, 3, 3, 0, 1, 0, 2, 0, 0, 3, 4, 0, 1, 4, 4, 0, 3, 2, 1, 1, 0, 0, 3, 0, 3, 0, 2, 1, 0, 1, 4, 3, 0, 4, 0, 0, 0, 0, 1, 2, 3, 0, 1, 2, 1, 3, 1, 1, 1, 2, 0, 3, 4, 1, 0, 2, 2, 1, 2, 0, 1, 3, 4, 4, 0, 1, 2, 3, 3, 3, 4, 4, 2, 4, 0, 0, 0, 3, 0, 0, 2, 0, 4, 2, 3, 3, 0, 0, 3, 3, 1, 3, 4, 3, 4, 2, 0, 4, 2, 4, 1, 4, 3, 3, 3, 1, 1, 3, 0, 0, 0, 3, 1, 4, 2, 2, 3, 2, 2, 2, 0, 4, 3, 4, 1, 3, 1, 2, 3, 1, 4, 1, 0, 2, 3, 3, 1, 1, 4, 4, 4, 1, 0, 2, 1, 2, 2, 3, 2, 1, 3, 4, 1, 3, 0, 3, 3, 0, 2, 2, 0, 2, 4, 4, 1, 1, 1, 2, 0, 0, 1, 4, 0, 4, 4, 3, 4, 1, 0, 2, 0, 0, 3, 2, 1, 2, 4, 0, 4, 4, 0, 4, 3, 4, 1, 2, 0, 1, 0, 2, 3, 2, 0, 4, 1, 2, 1, 3, 0, 3, 0, 4, 0, 2, 1, 3, 3, 0, 1, 2, 3, 0, 0, 3, 0, 1, 0, 1, 1, 1, 2, 1, 0, 3, 0, 2, 0, 3, 3, 4, 4, 3, 3, 0, 4, 2, 0, 3, 3, 2, 1, 1, 1, 3, 4, 3, 1, 0, 4, 1, 3, 3, 2, 3, 4, 3, 4, 4, 2, 3, 2, 3, 4, 0, 3, 3, 0, 3, 2, 3, 0, 4, 2, 2, 3, 3, 3, 0, 4, 2, 1, 0, 1, 2, 3, 4, 1, 4, 3, 4, 4, 1, 2, 1, 4, 1, 2, 2, 4, 0, 0, 1, 4, 3, 1, 3, 1, 1, 1, 3, 1, 4, 2, 2, 0, 1, 2, 1, 0, 3, 0, 1, 2, 2, 4, 2, 2, 1, 1, 1, 0, 4, 1, 3, 1, 2, 4, 3, 0, 3, 3, 1, 1, 0, 3, 1, 4, 3, 4, 0, 1, 3, 3, 2, 0, 4, 1, 2, 0, 3, 4, 0, 3, 4, 0, 3, 3, 2, 0, 1, 2, 4, 4, 1, 4, 0, 2, 4, 0, 1, 1, 3, 2, 2, 3, 3, 2, 1, 0, 1, 2, 2, 2, 0, 3, 3, 4, 2, 2, 2, 3, 3, 2, 2, 2, 1, 3, 3, 3, 3, 2, 1, 4, 1, 1, 3, 2, 4, 0, 2, 1, 3, 1, 4, 2, 0, 2, 1, 4, 0, 2, 2, 4, 1, 0, 0, 2, 4, 3, 0, 3, 3, 2, 4, 4, 2, 0, 4, 3, 3, 0, 3, 4, 0, 1, 3, 3, 3, 2, 3, 2, 3, 3, 4, 3, 2, 4, 3, 3, 2, 1, 2, 1, 2, 0, 0, 2, 2, 3, 3, 4, 2, 0]
pubkeycol1219 = [4, 1, 1, 1, 0, 0, 1, 3, 3, 3, 4, 0, 1, 1, 4, 1, 4, 1, 1, 4, 1, 0, 1, 3, 3, 0, 1, 0, 4, 3, 4, 3, 4, 3, 2, 3, 2, 3, 4, 3, 1, 1, 2, 4, 4, 0, 2, 3, 0, 2, 3, 4, 1, 2, 3, 2, 1, 2, 3, 3, 1, 2, 1, 3, 4, 3, 1, 2, 3, 1, 3, 2, 1, 0, 3, 4, 1, 1, 3, 4, 3, 4, 4, 4, 4, 2, 3, 4, 2, 0, 3, 2, 2, 2, 0, 1, 3, 0, 3, 3, 0, 3, 4, 3, 0, 2, 2, 1, 4, 3, 1, 2, 4, 0, 3, 3, 4, 4, 4, 0, 3, 0, 0, 1, 4, 3, 1, 2, 2, 2, 1, 1, 4, 4, 3, 1, 4, 4, 0, 2, 1, 3, 1, 0, 1, 2, 3, 2, 4, 1, 2, 2, 3, 1, 4, 3, 0, 4, 4, 3, 4, 1, 0, 0, 1, 0, 3, 3, 4, 2, 3, 3, 4, 0, 2, 2, 3, 2, 1, 0, 0, 4, 2, 1, 1, 0, 3, 2, 4, 3, 2, 1, 2, 4, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 4, 0, 2, 0, 0, 4, 2, 1, 0, 0, 3, 4, 1, 4, 2, 3, 1, 2, 4, 2, 1, 4, 4, 2, 2, 0, 0, 3, 3, 3, 1, 4, 1, 1, 3, 0, 4, 1, 3, 4, 4, 1, 2, 2, 3, 0, 1, 3, 1, 4, 2, 0, 2, 3, 0, 4, 3, 2, 2, 2, 3, 4, 3, 2, 3, 3, 3, 4, 4, 3, 3, 0, 0, 3, 2, 4, 0, 3, 1, 2, 2, 3, 0, 2, 2, 3, 0, 2, 4, 1, 1, 4, 0, 0, 1, 1, 0, 4, 3, 1, 0, 4, 4, 3, 1, 0, 2, 3, 0, 2, 0, 3, 3, 1, 2, 3, 4, 3, 1, 1, 2, 1, 0, 0, 4, 3, 3, 3, 1, 2, 1, 2, 4, 4, 4, 3, 1, 1, 1, 4, 1, 0, 3, 0, 1, 4, 4, 3, 2, 3, 3, 1, 1, 0, 1, 4, 2, 1, 2, 3, 4, 0, 2, 3, 3, 4, 2, 2, 2, 2, 3, 0, 3, 3, 1, 2, 4, 1, 1, 1, 4, 2, 0, 2, 4, 4, 0, 3, 1, 2, 0, 3, 2, 3, 1, 1, 3, 3, 0, 2, 0, 1, 1, 1, 2, 1, 0, 3, 1, 4, 3, 0, 0, 2, 1, 0, 3, 2, 0, 0, 0, 1, 3, 0, 3, 2, 4, 4, 4, 2, 1, 3, 0, 4, 4, 1, 3, 0, 3, 2, 3, 1, 2, 1, 2, 2, 4, 2, 2, 4, 1, 1, 2, 4, 4, 0, 2, 0, 3, 4, 3, 3, 3, 1, 4, 4, 1, 0, 1, 2, 0, 4, 0, 1, 2, 4, 3, 2, 2, 2, 0, 0, 0, 2, 1, 1, 3, 2, 3, 0, 4, 1, 3, 4, 3, 1, 3, 1, 2, 4]
pubkeycol1220 = [3, 0, 2, 2, 2, 1, 0, 4, 1, 2, 0, 4, 3, 4, 3, 2, 4, 4, 4, 3, 0, 2, 0, 3, 1, 0, 1, 0, 3, 4, 4, 0, 3, 3, 1, 0, 1, 1, 4, 4, 0, 3, 1, 2, 1, 0, 1, 4, 4, 4, 0, 3, 0, 4, 3, 1, 0, 4, 4, 2, 0, 4, 0, 3, 0, 4, 2, 0, 0, 3, 4, 4, 1, 2, 4, 1, 1, 1, 0, 2, 2, 1, 0, 3, 2, 2, 1, 4, 2, 0, 0, 4, 1, 0, 0, 4, 2, 0, 0, 3, 4, 2, 0, 1, 2, 4, 2, 3, 2, 0, 3, 1, 0, 4, 3, 1, 1, 1, 4, 4, 4, 3, 1, 2, 3, 4, 0, 1, 0, 0, 3, 3, 0, 1, 3, 3, 2, 1, 3, 0, 4, 4, 4, 1, 4, 1, 4, 1, 2, 3, 2, 3, 2, 3, 3, 0, 1, 4, 2, 4, 4, 4, 4, 3, 0, 3, 3, 4, 1, 4, 2, 3, 4, 4, 1, 2, 4, 0, 4, 0, 1, 2, 3, 4, 4, 1, 4, 0, 1, 4, 2, 3, 3, 1, 0, 1, 3, 0, 4, 2, 1, 0, 1, 4, 2, 4, 1, 3, 3, 2, 0, 1, 2, 3, 3, 2, 3, 2, 1, 1, 3, 0, 2, 2, 2, 1, 3, 1, 2, 2, 3, 2, 4, 2, 2, 1, 2, 0, 3, 2, 3, 0, 0, 2, 0, 1, 2, 1, 4, 4, 0, 1, 1, 1, 1, 1, 2, 1, 4, 1, 2, 2, 2, 0, 3, 2, 0, 2, 4, 0, 2, 4, 0, 4, 4, 1, 4, 2, 3, 2, 1, 1, 0, 0, 1, 3, 3, 2, 0, 4, 2, 2, 2, 2, 2, 1, 2, 4, 1, 3, 4, 4, 4, 2, 1, 4, 3, 4, 4, 3, 1, 3, 2, 2, 0, 2, 4, 2, 4, 4, 0, 3, 3, 4, 2, 0, 4, 4, 1, 1, 0, 2, 0, 3, 4, 0, 4, 4, 1, 3, 1, 2, 0, 3, 4, 3, 1, 0, 2, 3, 3, 0, 4, 2, 0, 4, 4, 2, 1, 0, 4, 4, 0, 3, 2, 4, 2, 2, 0, 3, 3, 1, 2, 1, 2, 0, 4, 3, 2, 3, 1, 3, 2, 4, 1, 0, 4, 0, 3, 2, 1, 0, 0, 0, 1, 3, 2, 4, 0, 3, 3, 4, 3, 4, 1, 1, 1, 4, 4, 4, 1, 4, 3, 3, 2, 4, 1, 2, 4, 4, 1, 0, 3, 3, 4, 0, 0, 2, 2, 3, 2, 3, 0, 1, 4, 0, 0, 0, 4, 2, 1, 1, 3, 4, 4, 4, 1, 4, 2, 4, 4, 2, 2, 1, 0, 4, 0, 2, 3, 1, 0, 1, 4, 2, 1, 2, 3, 1, 4, 4, 1, 4, 2, 2, 4, 4, 0, 1, 3, 3, 1, 4, 2, 0, 4, 4, 3, 4, 1, 2, 3, 4, 4, 2, 4, 0, 4, 4, 3, 4, 0, 1, 3, 1, 1]
pubkeycol1221 = [2, 0, 4, 2, 4, 4, 0, 3, 1, 3, 3, 2, 0, 3, 4, 2, 4, 4, 1, 0, 0, 4, 1, 4, 2, 4, 2, 1, 0, 0, 3, 3, 4, 0, 0, 1, 2, 4, 4, 3, 4, 2, 4, 1, 4, 4, 3, 1, 3, 2, 2, 0, 0, 0, 4, 4, 3, 1, 1, 1, 2, 3, 1, 0, 4, 2, 4, 1, 0, 3, 3, 1, 4, 4, 1, 4, 4, 4, 3, 3, 4, 3, 3, 1, 2, 0, 1, 4, 3, 1, 3, 1, 4, 2, 4, 4, 4, 0, 2, 3, 3, 4, 2, 0, 0, 3, 3, 2, 1, 1, 4, 2, 2, 0, 1, 1, 3, 0, 2, 3, 0, 4, 0, 2, 3, 1, 4, 2, 3, 2, 1, 4, 4, 0, 3, 0, 1, 3, 3, 0, 0, 1, 3, 0, 1, 3, 1, 4, 2, 1, 4, 2, 3, 4, 4, 0, 2, 2, 3, 3, 3, 0, 0, 1, 2, 0, 1, 3, 0, 4, 0, 1, 4, 4, 2, 1, 1, 1, 4, 2, 3, 2, 1, 3, 4, 0, 0, 1, 3, 0, 1, 4, 4, 2, 2, 4, 3, 3, 0, 0, 3, 0, 3, 1, 4, 2, 1, 4, 3, 2, 2, 4, 4, 2, 3, 4, 1, 1, 0, 0, 1, 3, 0, 0, 2, 0, 2, 2, 4, 4, 1, 4, 2, 2, 3, 1, 3, 4, 4, 2, 0, 4, 1, 0, 4, 4, 0, 1, 2, 0, 2, 2, 1, 2, 4, 2, 0, 4, 4, 3, 3, 2, 2, 0, 1, 0, 1, 1, 4, 4, 0, 1, 4, 3, 4, 1, 1, 0, 2, 4, 0, 4, 0, 4, 2, 0, 1, 0, 4, 3, 1, 0, 4, 4, 2, 4, 1, 3, 0, 0, 4, 2, 2, 4, 2, 3, 1, 1, 3, 4, 1, 2, 0, 4, 4, 2, 4, 2, 2, 3, 1, 1, 1, 2, 0, 2, 3, 1, 1, 2, 2, 4, 4, 4, 3, 0, 3, 4, 3, 0, 4, 3, 4, 0, 0, 2, 4, 4, 3, 4, 0, 1, 3, 2, 3, 3, 4, 1, 2, 4, 4, 0, 0, 2, 1, 3, 3, 2, 4, 3, 4, 1, 0, 3, 4, 0, 2, 0, 1, 1, 2, 0, 2, 3, 2, 1, 2, 2, 0, 2, 4, 0, 0, 4, 0, 3, 0, 4, 0, 0, 4, 2, 3, 0, 0, 0, 2, 1, 2, 3, 3, 4, 1, 3, 2, 3, 0, 4, 2, 4, 4, 4, 1, 2, 1, 3, 1, 4, 3, 2, 1, 1, 3, 3, 0, 1, 0, 1, 4, 1, 3, 3, 2, 4, 2, 2, 1, 1, 0, 0, 3, 1, 0, 4, 0, 2, 0, 4, 2, 0, 2, 2, 4, 2, 4, 0, 2, 4, 2, 0, 1, 1, 3, 3, 1, 1, 4, 0, 0, 0, 1, 2, 0, 3, 2, 3, 3, 0, 2, 2, 1, 3, 2, 3, 2, 4, 4, 0, 0, 2, 1, 4, 0, 3, 2]
pubkeycol1222 = [3, 1, 4, 2, 0, 3, 3, 4, 4, 0, 1, 0, 4, 0, 2, 2, 4, 3, 2, 4, 1, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 3, 4, 1, 4, 1, 4, 4, 0, 3, 1, 1, 0, 4, 0, 3, 3, 4, 1, 1, 3, 2, 2, 0, 1, 4, 0, 3, 4, 2, 4, 1, 4, 1, 4, 3, 1, 0, 2, 3, 0, 4, 3, 4, 2, 0, 2, 1, 4, 4, 0, 0, 4, 4, 1, 3, 3, 3, 3, 3, 2, 0, 2, 0, 3, 4, 4, 3, 2, 3, 2, 1, 2, 1, 2, 3, 4, 0, 2, 2, 1, 2, 1, 1, 4, 4, 0, 4, 1, 2, 1, 1, 2, 3, 4, 0, 1, 3, 4, 3, 1, 4, 4, 3, 0, 4, 2, 4, 2, 0, 0, 2, 0, 2, 4, 2, 2, 2, 2, 0, 3, 2, 1, 3, 0, 3, 1, 4, 4, 3, 3, 4, 2, 3, 1, 4, 2, 0, 2, 3, 0, 0, 4, 3, 1, 0, 2, 0, 0, 3, 4, 4, 4, 4, 4, 4, 4, 2, 0, 2, 3, 1, 3, 4, 2, 4, 2, 2, 3, 1, 0, 2, 2, 4, 1, 3, 3, 1, 1, 0, 1, 3, 4, 4, 0, 0, 0, 0, 3, 0, 1, 0, 0, 3, 3, 2, 4, 0, 3, 1, 2, 4, 3, 3, 1, 0, 2, 3, 0, 0, 1, 0, 3, 2, 4, 2, 1, 3, 1, 3, 2, 1, 0, 2, 0, 4, 3, 0, 2, 1, 2, 3, 4, 3, 1, 4, 1, 1, 4, 3, 1, 1, 3, 0, 2, 2, 0, 3, 3, 2, 3, 1, 4, 1, 1, 1, 2, 1, 3, 4, 0, 4, 2, 2, 4, 1, 2, 4, 4, 2, 3, 2, 2, 3, 4, 1, 4, 0, 2, 1, 1, 1, 1, 0, 0, 4, 1, 4, 3, 1, 4, 0, 4, 1, 4, 0, 1, 3, 1, 0, 0, 3, 2, 3, 0, 0, 2, 1, 2, 1, 4, 0, 0, 4, 3, 4, 1, 0, 1, 3, 0, 0, 3, 3, 0, 0, 1, 3, 4, 1, 2, 2, 1, 0, 3, 2, 4, 1, 4, 2, 3, 3, 4, 4, 2, 3, 2, 1, 1, 4, 3, 0, 2, 3, 0, 1, 4, 2, 0, 1, 4, 3, 2, 0, 2, 4, 2, 2, 0, 4, 1, 3, 3, 4, 4, 3, 3, 4, 0, 0, 2, 3, 4, 2, 4, 4, 3, 2, 0, 3, 1, 0, 4, 4, 4, 3, 4, 4, 2, 2, 3, 1, 0, 2, 3, 2, 2, 0, 2, 0, 4, 4, 2, 4, 1, 2, 4, 1, 0, 3, 2, 4, 0, 3, 0, 1, 0, 3, 4, 3, 2, 3, 2, 1, 0, 4, 0, 1, 3, 0, 4, 4, 1, 3, 4, 3, 4, 4, 4, 2, 3, 2, 4, 1, 2, 4, 4, 4, 0, 4, 4, 4, 3, 0, 3, 2, 2, 2, 1, 1, 2, 4, 3, 2, 3]
pubkeycol1223 = [2, 1, 1, 4, 4, 3, 1, 2, 4, 0, 2, 1, 2, 4, 2, 2, 4, 4, 4, 2, 4, 4, 4, 2, 0, 4, 0, 3, 4, 4, 4, 2, 0, 1, 4, 1, 2, 1, 0, 3, 3, 1, 4, 2, 1, 2, 4, 4, 0, 0, 2, 1, 2, 0, 0, 3, 2, 0, 2, 1, 4, 1, 4, 4, 4, 4, 2, 2, 4, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 3, 0, 4, 1, 0, 4, 0, 4, 2, 4, 3, 3, 0, 2, 1, 2, 2, 3, 1, 0, 1, 1, 1, 1, 3, 3, 1, 0, 0, 4, 3, 0, 0, 3, 3, 3, 0, 2, 4, 4, 1, 4, 3, 2, 1, 4, 2, 3, 0, 4, 2, 2, 2, 4, 3, 1, 1, 3, 0, 4, 1, 0, 4, 4, 3, 2, 1, 4, 4, 0, 1, 2, 4, 1, 2, 3, 1, 2, 2, 1, 3, 1, 2, 0, 3, 0, 0, 2, 2, 0, 1, 4, 1, 2, 1, 3, 4, 2, 1, 2, 4, 1, 4, 1, 0, 3, 0, 4, 3, 0, 1, 2, 4, 0, 4, 4, 4, 3, 3, 1, 2, 3, 1, 4, 1, 2, 1, 3, 0, 0, 1, 2, 4, 3, 4, 1, 4, 3, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 4, 1, 2, 3, 4, 1, 2, 0, 0, 1, 4, 3, 3, 2, 0, 1, 4, 4, 1, 3, 1, 2, 1, 0, 3, 2, 0, 4, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 3, 1, 1, 3, 1, 0, 4, 0, 4, 3, 3, 2, 0, 0, 0, 1, 1, 2, 0, 3, 2, 0, 1, 4, 0, 4, 2, 3, 1, 2, 4, 4, 4, 1, 2, 0, 4, 0, 1, 3, 2, 4, 3, 0, 3, 1, 2, 0, 1, 3, 4, 1, 0, 0, 4, 2, 4, 2, 0, 3, 3, 0, 0, 2, 1, 4, 3, 4, 4, 0, 4, 1, 2, 0, 3, 4, 4, 4, 2, 1, 1, 0, 0, 0, 1, 3, 1, 0, 2, 0, 4, 1, 2, 0, 4, 4, 2, 3, 4, 1, 3, 0, 4, 3, 4, 4, 0, 0, 1, 0, 4, 1, 4, 1, 1, 1, 2, 4, 3, 3, 1, 3, 2, 0, 1, 3, 2, 3, 2, 0, 3, 3, 0, 4, 2, 2, 1, 0, 4, 3, 3, 0, 4, 3, 1, 0, 4, 3, 0, 0, 2, 1, 4, 2, 4, 3, 0, 1, 4, 1, 0, 2, 1, 2, 1, 4, 2, 0, 1, 0, 2, 1, 3, 3, 3, 3, 3, 0, 0, 4, 0, 4, 3, 0, 3, 0, 1, 1, 1, 1, 2, 0, 4, 1, 1, 0, 2, 0, 0, 3, 3, 2, 0, 2, 1, 2, 1, 4, 1, 2, 2, 3, 2, 2, 2, 4, 0, 4, 0, 1, 4, 3, 0, 2, 0, 2, 0, 1, 4, 0, 0, 3, 4, 2, 3, 4, 3, 2, 2]
pubkeycol1224 = [3, 2, 3, 4, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 3, 2, 0, 1, 1, 3, 4, 0, 1, 4, 2, 1, 3, 3, 0, 2, 3, 2, 2, 4, 0, 3, 0, 1, 0, 0, 4, 1, 4, 2, 3, 2, 2, 0, 1, 4, 0, 1, 2, 4, 4, 4, 1, 2, 4, 0, 1, 1, 3, 1, 4, 1, 1, 2, 2, 4, 3, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 4, 2, 4, 1, 2, 1, 4, 2, 0, 3, 4, 2, 3, 0, 3, 3, 2, 3, 1, 1, 2, 1, 1, 0, 4, 2, 0, 2, 0, 4, 3, 1, 0, 0, 2, 4, 0, 3, 2, 0, 4, 2, 0, 3, 0, 1, 0, 4, 2, 0, 4, 2, 0, 2, 1, 3, 3, 4, 3, 3, 0, 3, 0, 0, 1, 4, 3, 3, 4, 4, 2, 1, 1, 0, 2, 0, 0, 2, 2, 4, 4, 2, 2, 1, 2, 3, 4, 1, 3, 0, 0, 4, 4, 4, 0, 0, 0, 3, 2, 1, 3, 1, 4, 2, 0, 2, 2, 0, 4, 2, 4, 3, 4, 0, 3, 4, 1, 3, 2, 0, 2, 1, 0, 0, 0, 4, 4, 0, 0, 1, 0, 3, 1, 4, 0, 4, 4, 4, 2, 4, 1, 2, 1, 3, 2, 0, 2, 0, 3, 1, 3, 4, 2, 4, 4, 0, 2, 4, 2, 1, 3, 3, 4, 1, 3, 3, 0, 2, 4, 0, 4, 3, 4, 1, 4, 2, 0, 3, 0, 2, 0, 3, 2, 1, 2, 1, 4, 1, 0, 2, 3, 1, 4, 2, 1, 1, 1, 4, 4, 1, 1, 2, 2, 3, 3, 4, 0, 4, 0, 0, 1, 3, 0, 0, 0, 4, 3, 2, 3, 4, 0, 4, 0, 3, 3, 2, 3, 0, 3, 3, 3, 2, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 4, 2, 0, 0, 4, 1, 2, 4, 4, 0, 2, 4, 3, 3, 3, 3, 2, 0, 2, 4, 4, 1, 4, 0, 0, 4, 1, 0, 4, 2, 1, 3, 3, 0, 4, 1, 2, 4, 4, 2, 4, 4, 3, 0, 1, 1, 2, 0, 2, 4, 1, 0, 4, 2, 1, 2, 0, 0, 0, 0, 4, 1, 3, 1, 0, 0, 1, 1, 0, 3, 2, 3, 1, 2, 0, 1, 3, 0, 1, 4, 2, 3, 1, 3, 4, 4, 1, 4, 3, 1, 2, 2, 1, 1, 0, 1, 4, 3, 0, 2, 0, 2, 4, 3, 3, 2, 2, 0, 0, 4, 2, 3, 0, 2, 3, 0, 4, 4, 4, 1, 0, 1, 4, 1, 4, 0, 4, 3, 1, 0, 2, 3, 0, 1, 1, 0, 3, 0, 1, 4, 0, 3, 2, 2, 1, 1, 0, 1, 1, 4, 0, 3, 2, 1, 2, 4, 2, 3, 2, 3, 4, 4, 0, 1, 1, 1, 3, 4, 1, 0, 3, 2, 2, 1, 2, 0, 0, 0, 3, 4]
pubkeycol1225 = [0, 3, 1, 0, 1, 0, 4, 0, 0, 2, 3, 4, 0, 3, 1, 4, 1, 4, 3, 1, 0, 3, 0, 3, 3, 0, 4, 4, 1, 3, 1, 1, 1, 2, 4, 0, 1, 4, 3, 4, 1, 0, 3, 2, 1, 3, 1, 2, 3, 3, 0, 2, 2, 3, 1, 1, 2, 3, 1, 1, 1, 2, 3, 4, 1, 0, 4, 3, 3, 1, 1, 2, 0, 3, 3, 4, 2, 1, 3, 4, 0, 3, 3, 4, 3, 4, 3, 1, 3, 0, 2, 1, 4, 1, 1, 0, 0, 3, 0, 4, 4, 3, 3, 3, 3, 2, 1, 0, 1, 1, 0, 3, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 3, 2, 1, 1, 3, 2, 1, 2, 2, 0, 2, 4, 0, 1, 0, 0, 1, 1, 1, 4, 1, 2, 1, 0, 1, 0, 3, 4, 2, 3, 2, 3, 2, 1, 0, 4, 4, 2, 2, 4, 4, 0, 1, 2, 3, 1, 3, 4, 3, 3, 2, 4, 3, 0, 0, 0, 0, 0, 2, 0, 3, 1, 4, 2, 0, 3, 4, 4, 4, 1, 2, 2, 1, 0, 4, 4, 1, 2, 3, 0, 0, 4, 1, 1, 4, 1, 4, 0, 2, 0, 3, 0, 0, 1, 4, 1, 1, 0, 3, 4, 0, 0, 4, 1, 2, 1, 3, 1, 2, 2, 1, 3, 1, 0, 3, 3, 0, 0, 3, 2, 2, 0, 1, 4, 0, 4, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 4, 3, 2, 4, 3, 4, 1, 1, 3, 3, 2, 0, 4, 0, 0, 0, 3, 0, 1, 1, 0, 1, 0, 0, 3, 2, 1, 2, 4, 1, 4, 1, 3, 0, 1, 4, 1, 0, 1, 4, 0, 0, 0, 1, 3, 2, 1, 0, 0, 4, 2, 1, 1, 4, 3, 3, 1, 1, 4, 4, 0, 2, 1, 1, 4, 1, 0, 0, 4, 1, 4, 1, 0, 2, 0, 2, 4, 4, 1, 0, 2, 4, 0, 0, 2, 0, 1, 2, 0, 4, 0, 2, 4, 4, 3, 1, 0, 0, 4, 1, 2, 4, 3, 0, 4, 3, 3, 3, 3, 0, 2, 4, 0, 1, 3, 4, 2, 0, 2, 0, 3, 2, 2, 2, 3, 4, 4, 0, 1, 1, 1, 1, 0, 4, 1, 3, 0, 0, 2, 1, 3, 4, 2, 3, 4, 2, 2, 0, 0, 3, 4, 2, 2, 2, 2, 1, 1, 1, 3, 0, 3, 4, 3, 4, 2, 0, 1, 0, 3, 1, 2, 4, 2, 0, 4, 3, 2, 0, 1, 0, 1, 4, 4, 4, 0, 0, 4, 1, 2, 0, 1, 1, 3, 4, 3, 1, 0, 4, 1, 4, 4, 1, 0, 0, 0, 1, 3, 2, 2, 1, 1, 4, 3, 0, 2, 1, 3, 0, 0, 1, 4, 0, 4, 0, 0, 0, 2, 4, 4, 2, 2, 0, 0, 4, 2, 2, 0, 4, 1, 1, 1]
pubkeycol1226 = [2, 3, 1, 1, 4, 3, 1, 3, 1, 1, 3, 1, 0, 0, 1, 4, 0, 3, 4, 4, 2, 3, 3, 0, 4, 0, 2, 0, 4, 2, 2, 3, 4, 4, 2, 0, 2, 1, 0, 0, 3, 3, 1, 3, 4, 3, 1, 2, 1, 2, 4, 2, 1, 1, 1, 0, 0, 1, 3, 2, 3, 4, 0, 2, 2, 4, 1, 2, 0, 3, 3, 2, 1, 3, 2, 0, 3, 1, 4, 1, 2, 3, 0, 1, 2, 4, 1, 4, 3, 3, 1, 2, 3, 3, 2, 1, 0, 0, 0, 1, 1, 4, 4, 4, 1, 2, 2, 3, 0, 1, 0, 3, 0, 3, 1, 2, 1, 1, 4, 3, 1, 2, 4, 0, 2, 1, 2, 4, 2, 3, 1, 1, 4, 0, 0, 0, 1, 1, 0, 0, 1, 1, 4, 1, 2, 1, 2, 2, 2, 1, 3, 3, 1, 1, 4, 2, 4, 0, 1, 0, 3, 0, 4, 4, 0, 0, 1, 1, 1, 3, 1, 4, 2, 1, 0, 0, 2, 1, 4, 3, 4, 3, 4, 4, 0, 2, 4, 2, 1, 3, 3, 3, 0, 0, 4, 2, 4, 4, 4, 2, 1, 3, 1, 4, 3, 3, 3, 1, 0, 0, 3, 4, 0, 1, 4, 2, 1, 4, 0, 3, 0, 2, 1, 3, 3, 1, 0, 0, 0, 0, 3, 2, 4, 2, 0, 4, 0, 1, 0, 0, 1, 4, 2, 1, 4, 1, 3, 3, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 4, 4, 3, 0, 1, 3, 1, 1, 0, 2, 0, 0, 4, 4, 0, 1, 1, 4, 4, 0, 0, 4, 1, 0, 3, 4, 2, 3, 4, 3, 0, 0, 0, 2, 1, 1, 1, 0, 3, 0, 2, 4, 4, 1, 0, 4, 1, 1, 4, 4, 0, 3, 1, 1, 0, 2, 4, 1, 3, 2, 0, 3, 3, 0, 2, 0, 1, 3, 1, 1, 4, 2, 0, 4, 1, 0, 2, 1, 1, 2, 3, 0, 4, 2, 1, 1, 0, 0, 4, 0, 4, 2, 0, 2, 3, 0, 2, 3, 4, 4, 4, 4, 1, 2, 3, 1, 3, 3, 2, 2, 3, 1, 0, 3, 4, 0, 1, 4, 2, 4, 3, 0, 4, 0, 0, 1, 4, 4, 0, 0, 0, 1, 3, 2, 4, 0, 3, 1, 4, 3, 0, 3, 4, 0, 1, 0, 2, 0, 4, 4, 3, 4, 2, 4, 3, 0, 0, 2, 1, 1, 3, 2, 4, 4, 4, 2, 1, 4, 3, 0, 3, 3, 2, 2, 4, 0, 0, 3, 0, 1, 3, 3, 0, 0, 2, 3, 0, 4, 2, 0, 1, 0, 4, 3, 1, 0, 2, 1, 0, 4, 2, 3, 3, 1, 0, 1, 0, 0, 1, 4, 2, 4, 0, 2, 3, 4, 2, 1, 1, 3, 4, 3, 1, 0, 2, 2, 3, 1, 3, 3, 4, 2, 1, 0, 1, 0, 3, 1, 2, 1, 1, 2, 2, 4, 1]
pubkeycol1227 = [0, 0, 2, 1, 2, 1, 0, 0, 4, 2, 3, 0, 1, 2, 4, 4, 3, 1, 1, 2, 1, 3, 3, 1, 4, 3, 1, 2, 4, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 4, 4, 0, 0, 4, 1, 1, 4, 3, 2, 4, 3, 3, 3, 2, 1, 3, 2, 0, 0, 2, 4, 2, 0, 3, 2, 3, 1, 4, 3, 3, 4, 1, 4, 2, 0, 4, 0, 4, 3, 4, 3, 3, 2, 3, 3, 0, 2, 4, 2, 4, 0, 4, 2, 2, 2, 2, 0, 4, 2, 2, 3, 3, 3, 2, 3, 0, 2, 3, 3, 0, 3, 1, 0, 0, 2, 4, 1, 3, 1, 3, 4, 2, 4, 4, 3, 1, 3, 1, 1, 1, 3, 0, 1, 2, 1, 1, 4, 1, 0, 1, 2, 4, 0, 0, 4, 3, 3, 0, 0, 4, 3, 4, 2, 3, 0, 2, 3, 4, 2, 4, 2, 2, 4, 0, 3, 3, 2, 4, 0, 0, 0, 4, 3, 0, 1, 4, 0, 1, 2, 2, 3, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 2, 3, 1, 4, 4, 4, 4, 4, 4, 3, 4, 2, 1, 3, 3, 4, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 4, 1, 4, 3, 4, 2, 3, 3, 2, 0, 2, 0, 3, 4, 0, 3, 0, 1, 3, 3, 4, 3, 0, 2, 0, 4, 4, 0, 2, 1, 4, 3, 1, 1, 4, 2, 3, 1, 1, 3, 2, 2, 3, 0, 0, 2, 0, 1, 4, 1, 0, 2, 4, 0, 3, 3, 1, 0, 4, 2, 1, 0, 4, 0, 2, 2, 0, 4, 0, 0, 4, 2, 0, 1, 0, 1, 2, 4, 0, 1, 4, 2, 4, 2, 1, 1, 0, 1, 0, 4, 1, 4, 1, 3, 1, 3, 3, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 4, 2, 4, 0, 0, 3, 1, 3, 1, 2, 1, 1, 2, 2, 3, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 3, 2, 3, 4, 2, 2, 1, 1, 4, 0, 3, 2, 4, 3, 3, 3, 4, 0, 3, 1, 1, 0, 1, 3, 0, 0, 4, 1, 1, 4, 4, 3, 0, 3, 0, 3, 0, 3, 1, 2, 0, 1, 3, 4, 4, 1, 2, 0, 4, 3, 1, 4, 3, 2, 0, 1, 3, 3, 1, 1, 3, 1, 2, 4, 3, 0, 0, 1, 3, 2, 3, 3, 4, 0, 4, 1, 1, 4, 1, 1, 4, 2, 0, 1, 4, 4, 0, 3, 1, 0, 4, 1, 3, 4, 3, 2, 3, 3, 4, 2, 3, 0, 4, 2, 1, 4, 1, 3, 3, 2, 1, 1, 2, 3, 4, 1, 4, 2, 4, 1, 4, 1, 4, 2, 1, 0, 1, 4, 1, 0, 0, 0, 3, 2, 2, 0, 2, 0, 1, 4, 4, 3, 0, 1, 3, 4, 2, 0]
pubkeycol1228 = [4, 2, 2, 2, 4, 2, 0, 0, 0, 2, 3, 0, 2, 3, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 3, 1, 4, 4, 2, 4, 0, 2, 2, 0, 4, 2, 1, 0, 1, 1, 4, 4, 3, 1, 2, 4, 0, 3, 0, 0, 4, 2, 1, 2, 1, 3, 3, 2, 2, 3, 4, 4, 0, 4, 1, 3, 3, 3, 1, 0, 0, 0, 0, 4, 4, 3, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 4, 3, 4, 2, 0, 2, 4, 3, 1, 4, 0, 0, 2, 2, 0, 0, 2, 2, 3, 2, 2, 1, 4, 0, 0, 3, 3, 4, 4, 2, 0, 2, 1, 0, 0, 1, 3, 1, 4, 0, 3, 0, 4, 4, 2, 0, 0, 3, 0, 3, 4, 2, 3, 4, 3, 0, 3, 3, 2, 2, 4, 0, 4, 2, 4, 1, 2, 4, 2, 3, 4, 0, 0, 0, 3, 2, 3, 1, 2, 3, 0, 4, 1, 1, 1, 4, 3, 4, 0, 4, 0, 3, 0, 3, 3, 4, 1, 2, 2, 2, 0, 3, 1, 3, 1, 1, 1, 0, 2, 0, 4, 1, 3, 1, 2, 1, 1, 3, 0, 3, 3, 4, 1, 3, 4, 3, 3, 2, 3, 4, 4, 3, 2, 3, 4, 3, 1, 2, 4, 3, 4, 4, 1, 3, 3, 0, 4, 0, 2, 3, 0, 1, 4, 2, 0, 1, 1, 4, 1, 0, 3, 1, 1, 2, 1, 2, 3, 3, 0, 1, 4, 2, 4, 3, 3, 4, 3, 4, 1, 4, 2, 3, 2, 4, 0, 0, 3, 4, 0, 2, 1, 2, 4, 2, 4, 1, 2, 4, 4, 2, 2, 2, 1, 4, 2, 3, 3, 4, 4, 4, 4, 1, 3, 0, 3, 1, 2, 2, 0, 0, 1, 2, 4, 4, 0, 1, 1, 2, 1, 1, 4, 4, 0, 4, 1, 3, 1, 2, 2, 3, 1, 2, 2, 0, 3, 2, 0, 0, 4, 0, 4, 1, 0, 0, 3, 4, 1, 4, 1, 0, 3, 2, 2, 1, 1, 0, 1, 4, 2, 3, 4, 4, 1, 0, 2, 3, 0, 4, 3, 3, 0, 0, 2, 3, 1, 3, 0, 1, 2, 3, 4, 4, 4, 4, 1, 0, 2, 3, 2, 4, 2, 2, 3, 2, 2, 0, 3, 2, 2, 2, 2, 2, 3, 2, 1, 0, 4, 3, 3, 0, 4, 0, 0, 1, 0, 4, 1, 1, 0, 4, 0, 0, 4, 3, 3, 3, 4, 2, 2, 4, 4, 0, 3, 3, 1, 2, 1, 4, 4, 3, 0, 2, 4, 3, 1, 3, 1, 1, 3, 1, 3, 2, 4, 0, 0, 4, 1, 3, 3, 1, 3, 1, 4, 1, 3, 3, 1, 4, 3, 3, 0, 1, 2, 3, 1, 1, 1, 4, 1, 3, 0, 1, 1, 2, 1, 2, 1, 0, 3, 4, 1, 0, 2, 1, 1, 4, 4, 1, 0, 1, 3, 4, 4]
pubkeycol1229 = [2, 4, 1, 0, 4, 3, 3, 3, 2, 2, 4, 0, 2, 1, 0, 4, 4, 2, 3, 4, 1, 4, 1, 3, 3, 4, 1, 3, 2, 3, 0, 2, 0, 2, 0, 2, 4, 3, 1, 4, 4, 0, 0, 2, 1, 0, 0, 4, 1, 3, 0, 4, 3, 3, 0, 4, 1, 1, 2, 4, 0, 4, 0, 3, 2, 4, 0, 1, 4, 2, 0, 0, 4, 1, 3, 1, 0, 1, 2, 0, 1, 0, 4, 1, 1, 4, 0, 0, 4, 4, 2, 4, 1, 0, 1, 0, 0, 4, 1, 3, 4, 1, 4, 0, 1, 4, 2, 4, 2, 1, 4, 2, 2, 3, 1, 1, 3, 1, 3, 2, 0, 3, 4, 4, 1, 3, 0, 0, 3, 4, 2, 0, 3, 0, 1, 3, 0, 1, 4, 4, 3, 0, 3, 3, 2, 2, 3, 4, 4, 1, 3, 0, 1, 2, 3, 4, 0, 0, 2, 4, 4, 2, 0, 1, 1, 3, 2, 0, 2, 4, 2, 2, 3, 0, 3, 3, 3, 2, 0, 0, 2, 4, 4, 4, 1, 1, 2, 1, 4, 4, 4, 2, 1, 3, 2, 0, 1, 2, 4, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 3, 4, 2, 0, 3, 1, 4, 0, 1, 1, 1, 2, 2, 1, 4, 3, 4, 3, 2, 3, 0, 0, 2, 0, 1, 0, 3, 0, 3, 1, 4, 0, 2, 1, 3, 4, 3, 0, 0, 4, 0, 3, 0, 1, 4, 4, 2, 0, 0, 2, 4, 3, 4, 0, 3, 0, 0, 0, 2, 4, 0, 3, 2, 2, 4, 3, 2, 2, 2, 0, 2, 2, 1, 1, 3, 3, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 3, 3, 1, 0, 4, 1, 1, 0, 2, 0, 3, 2, 0, 3, 2, 4, 2, 4, 2, 3, 2, 4, 4, 2, 2, 1, 4, 0, 0, 0, 4, 0, 2, 1, 4, 3, 0, 0, 1, 0, 4, 4, 2, 1, 1, 3, 4, 3, 3, 1, 1, 1, 0, 2, 2, 4, 0, 0, 0, 2, 3, 3, 2, 4, 0, 1, 2, 0, 3, 3, 4, 3, 1, 4, 1, 4, 1, 1, 0, 3, 3, 3, 2, 4, 1, 0, 4, 3, 4, 2, 0, 3, 3, 3, 1, 4, 0, 1, 1, 3, 3, 3, 2, 4, 1, 1, 3, 4, 3, 1, 0, 0, 3, 2, 2, 1, 4, 0, 2, 1, 1, 3, 0, 0, 0, 1, 2, 0, 1, 3, 1, 3, 0, 3, 4, 3, 4, 2, 4, 0, 2, 4, 4, 3, 3, 1, 0, 0, 2, 4, 0, 3, 1, 4, 4, 1, 4, 1, 1, 4, 2, 3, 0, 2, 2, 4, 4, 0, 2, 2, 1, 2, 2, 1, 1, 3, 3, 0, 4, 3, 3, 0, 2, 2, 2, 3, 3, 2, 2, 3, 4, 4, 0, 0, 1, 4, 3, 2, 1, 0, 1, 4, 2, 1, 3, 3, 4, 0]
pubkeycol1230 = [0, 0, 0, 3, 4, 3, 3, 0, 3, 1, 1, 1, 3, 1, 3, 0, 3, 2, 3, 0, 0, 3, 1, 3, 3, 1, 1, 1, 4, 0, 3, 2, 0, 4, 2, 1, 1, 2, 1, 3, 2, 1, 0, 1, 1, 4, 1, 4, 3, 1, 1, 3, 0, 3, 2, 4, 4, 3, 2, 1, 1, 4, 4, 3, 1, 3, 3, 3, 1, 0, 2, 4, 2, 4, 3, 4, 2, 0, 2, 2, 2, 3, 2, 2, 4, 4, 3, 0, 1, 0, 0, 0, 4, 4, 2, 1, 1, 0, 1, 3, 1, 0, 4, 0, 3, 3, 4, 4, 3, 0, 1, 4, 4, 4, 2, 0, 2, 0, 4, 3, 2, 4, 2, 4, 2, 3, 1, 4, 0, 2, 2, 4, 0, 4, 4, 1, 2, 3, 4, 2, 1, 1, 2, 4, 0, 1, 0, 0, 2, 1, 3, 3, 2, 4, 2, 4, 1, 0, 0, 0, 2, 0, 1, 3, 4, 0, 3, 4, 3, 1, 3, 4, 0, 3, 2, 2, 2, 4, 3, 2, 0, 2, 3, 4, 2, 2, 1, 0, 4, 2, 3, 4, 4, 3, 4, 3, 0, 3, 3, 2, 2, 0, 4, 0, 0, 2, 4, 3, 3, 3, 3, 2, 2, 4, 4, 1, 4, 1, 1, 3, 3, 2, 3, 0, 1, 0, 3, 4, 4, 0, 1, 4, 2, 2, 0, 3, 3, 4, 4, 2, 3, 1, 0, 0, 1, 3, 4, 0, 4, 1, 1, 2, 3, 3, 4, 3, 2, 3, 1, 1, 3, 0, 2, 3, 2, 1, 1, 2, 1, 4, 2, 1, 1, 3, 2, 1, 4, 4, 0, 4, 3, 4, 0, 0, 4, 2, 2, 3, 4, 4, 0, 2, 4, 0, 1, 1, 0, 2, 1, 3, 2, 2, 3, 3, 4, 0, 1, 2, 3, 1, 2, 4, 4, 4, 2, 4, 3, 3, 4, 3, 0, 1, 0, 1, 3, 4, 3, 3, 1, 1, 0, 3, 0, 0, 3, 2, 1, 4, 2, 0, 0, 0, 1, 1, 4, 0, 4, 2, 3, 0, 0, 3, 0, 3, 3, 1, 0, 3, 0, 1, 4, 1, 2, 1, 4, 2, 0, 0, 4, 4, 1, 1, 4, 2, 4, 3, 2, 3, 0, 3, 0, 3, 0, 1, 3, 4, 4, 4, 1, 3, 0, 3, 4, 1, 3, 4, 3, 2, 2, 0, 3, 0, 0, 4, 1, 0, 3, 1, 4, 1, 4, 2, 2, 1, 1, 3, 2, 2, 3, 4, 4, 3, 4, 2, 0, 1, 3, 2, 1, 2, 1, 4, 4, 0, 2, 4, 4, 0, 1, 0, 2, 3, 1, 2, 3, 4, 3, 2, 3, 2, 1, 2, 1, 4, 4, 2, 3, 2, 3, 4, 2, 3, 3, 3, 3, 0, 0, 1, 4, 2, 3, 3, 4, 1, 2, 1, 0, 0, 2, 1, 2, 3, 2, 0, 4, 1, 0, 2, 2, 2, 3, 3, 3, 0, 2, 2, 1, 1, 3, 4, 3, 2, 4, 2, 3]
pubkeycol1231 = [3, 3, 2, 0, 2, 4, 1, 4, 4, 2, 4, 3, 1, 0, 2, 2, 3, 1, 2, 1, 2, 2, 1, 3, 3, 2, 3, 4, 4, 4, 4, 2, 3, 2, 2, 0, 0, 0, 0, 2, 1, 1, 4, 4, 2, 4, 0, 4, 4, 1, 0, 3, 1, 0, 1, 0, 2, 2, 4, 0, 3, 0, 4, 3, 0, 2, 4, 1, 0, 0, 2, 1, 3, 4, 2, 3, 4, 2, 1, 3, 0, 2, 1, 0, 0, 4, 0, 2, 3, 1, 4, 2, 2, 0, 0, 4, 3, 4, 2, 0, 1, 4, 4, 1, 2, 2, 1, 3, 2, 1, 1, 0, 3, 4, 0, 0, 0, 0, 3, 3, 1, 4, 1, 1, 3, 4, 0, 3, 3, 3, 1, 0, 0, 2, 1, 2, 4, 2, 2, 1, 4, 4, 1, 1, 3, 2, 2, 4, 2, 1, 3, 1, 1, 0, 4, 2, 2, 1, 3, 3, 0, 1, 1, 3, 3, 4, 2, 3, 2, 2, 2, 3, 0, 3, 3, 1, 4, 4, 3, 3, 0, 3, 0, 3, 4, 2, 2, 3, 0, 0, 0, 1, 4, 3, 1, 1, 2, 4, 0, 4, 2, 1, 4, 0, 2, 3, 4, 2, 4, 3, 2, 4, 4, 3, 1, 3, 2, 1, 1, 1, 1, 4, 0, 3, 0, 4, 0, 1, 1, 0, 2, 1, 4, 2, 1, 2, 0, 1, 4, 3, 3, 2, 2, 3, 1, 2, 2, 0, 2, 0, 4, 3, 0, 0, 0, 3, 0, 1, 1, 4, 3, 2, 4, 2, 3, 0, 2, 2, 2, 4, 4, 2, 0, 0, 1, 1, 4, 0, 0, 3, 4, 3, 0, 3, 2, 1, 4, 1, 1, 3, 0, 1, 1, 4, 2, 1, 3, 3, 2, 2, 0, 2, 4, 0, 3, 4, 3, 2, 4, 4, 0, 2, 0, 2, 2, 0, 3, 4, 4, 4, 4, 3, 3, 1, 0, 3, 2, 0, 0, 4, 4, 1, 0, 0, 2, 3, 0, 3, 4, 3, 4, 2, 2, 2, 3, 1, 0, 2, 4, 4, 2, 4, 2, 0, 4, 2, 0, 1, 3, 3, 0, 4, 2, 3, 2, 2, 1, 1, 2, 3, 4, 0, 4, 2, 0, 3, 2, 0, 3, 4, 1, 0, 4, 0, 2, 0, 4, 2, 2, 0, 1, 4, 2, 3, 0, 3, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 4, 3, 3, 2, 4, 2, 2, 4, 0, 4, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 3, 3, 2, 2, 2, 0, 4, 2, 1, 3, 1, 2, 3, 1, 0, 4, 0, 0, 3, 4, 3, 0, 4, 0, 2, 2, 3, 1, 0, 3, 0, 2, 0, 4, 1, 2, 3, 1, 1, 0, 4, 1, 4, 1, 3, 1, 1, 1, 1, 1, 2, 3, 2, 4, 4, 0, 1, 2, 3, 2, 3, 1, 2, 4, 2, 1, 2, 2, 4, 2, 2, 1, 4, 3, 0, 2, 0, 1, 1]
pubkeycol1232 = [1, 4, 4, 1, 4, 1, 1, 3, 4, 3, 4, 4, 0, 2, 0, 2, 2, 2, 4, 4, 2, 0, 1, 2, 1, 0, 0, 3, 3, 1, 0, 1, 3, 1, 0, 2, 2, 0, 0, 4, 0, 3, 0, 3, 2, 3, 1, 3, 2, 3, 3, 2, 0, 0, 3, 3, 2, 1, 3, 3, 4, 2, 0, 3, 0, 0, 3, 3, 3, 0, 0, 2, 3, 1, 4, 1, 1, 3, 1, 3, 4, 0, 3, 0, 1, 2, 0, 4, 0, 4, 1, 0, 4, 2, 3, 3, 4, 2, 0, 4, 0, 4, 4, 2, 0, 4, 4, 1, 3, 0, 1, 2, 3, 1, 0, 2, 2, 0, 1, 4, 0, 2, 3, 0, 2, 1, 3, 1, 2, 1, 0, 4, 3, 4, 4, 4, 4, 3, 4, 0, 1, 4, 4, 3, 1, 1, 1, 4, 0, 1, 2, 4, 0, 3, 4, 3, 0, 4, 4, 3, 4, 3, 1, 1, 3, 2, 1, 4, 4, 1, 4, 2, 3, 0, 0, 0, 0, 4, 2, 3, 1, 4, 3, 0, 1, 4, 1, 4, 0, 2, 2, 2, 1, 2, 3, 1, 2, 0, 2, 3, 4, 2, 4, 0, 3, 4, 0, 1, 3, 1, 2, 0, 0, 4, 4, 0, 4, 1, 1, 1, 2, 2, 3, 4, 4, 2, 0, 0, 1, 0, 1, 2, 4, 3, 2, 4, 3, 0, 4, 1, 1, 3, 1, 0, 0, 4, 3, 1, 0, 0, 3, 4, 0, 1, 1, 3, 0, 2, 4, 0, 2, 3, 4, 2, 2, 3, 0, 3, 3, 0, 4, 2, 4, 1, 3, 3, 3, 3, 3, 3, 1, 3, 1, 0, 4, 4, 4, 1, 4, 1, 3, 2, 2, 1, 4, 3, 0, 0, 4, 0, 2, 1, 4, 2, 0, 4, 0, 0, 3, 0, 0, 0, 2, 0, 2, 4, 3, 4, 0, 4, 4, 4, 1, 4, 2, 2, 2, 2, 4, 2, 2, 1, 4, 1, 2, 0, 0, 2, 1, 3, 2, 1, 3, 3, 0, 0, 2, 2, 1, 0, 0, 3, 1, 2, 4, 0, 2, 0, 0, 1, 2, 1, 3, 1, 2, 1, 3, 4, 1, 0, 0, 0, 4, 3, 1, 3, 0, 4, 1, 0, 1, 3, 0, 2, 4, 3, 0, 4, 3, 1, 0, 1, 1, 2, 3, 1, 2, 1, 4, 0, 2, 0, 3, 2, 1, 4, 1, 0, 0, 1, 4, 3, 4, 3, 2, 4, 4, 4, 0, 3, 2, 4, 3, 3, 2, 3, 0, 4, 2, 3, 1, 1, 0, 3, 3, 3, 3, 2, 1, 4, 2, 1, 2, 4, 3, 4, 3, 4, 2, 2, 4, 4, 3, 1, 3, 4, 2, 3, 0, 3, 0, 4, 3, 3, 3, 1, 1, 4, 0, 2, 4, 4, 4, 3, 0, 1, 2, 4, 2, 4, 1, 2, 0, 2, 0, 0, 0, 4, 1, 2, 3, 3, 4, 3, 1, 4, 1, 3, 2, 0, 4, 3, 3, 4, 3]
pubkeycol1233 = [1, 0, 1, 4, 1, 1, 4, 1, 1, 4, 0, 3, 3, 4, 4, 4, 3, 4, 0, 4, 2, 0, 2, 3, 1, 1, 0, 1, 2, 4, 1, 2, 1, 1, 1, 3, 0, 2, 1, 2, 2, 3, 3, 0, 4, 4, 1, 1, 2, 0, 0, 3, 2, 1, 0, 4, 3, 4, 1, 2, 4, 0, 3, 2, 2, 1, 1, 4, 1, 2, 1, 1, 2, 0, 3, 3, 2, 1, 4, 3, 0, 3, 2, 1, 2, 3, 2, 2, 4, 3, 0, 4, 1, 2, 4, 3, 3, 0, 1, 1, 4, 1, 1, 3, 3, 3, 3, 2, 3, 3, 1, 0, 3, 0, 4, 3, 4, 4, 0, 4, 3, 2, 4, 3, 2, 2, 2, 3, 2, 2, 3, 3, 1, 0, 4, 1, 2, 3, 3, 3, 0, 0, 1, 2, 0, 1, 3, 2, 1, 3, 2, 0, 3, 1, 2, 1, 4, 1, 0, 1, 1, 0, 1, 1, 0, 0, 4, 2, 4, 2, 3, 1, 1, 4, 0, 1, 3, 1, 3, 3, 0, 4, 0, 3, 3, 0, 0, 1, 1, 1, 3, 2, 4, 3, 1, 3, 0, 3, 1, 1, 0, 0, 3, 4, 0, 4, 0, 2, 2, 0, 2, 0, 2, 3, 3, 4, 2, 2, 4, 3, 0, 4, 2, 4, 1, 4, 4, 1, 2, 2, 4, 2, 2, 1, 4, 1, 3, 1, 3, 4, 2, 3, 3, 2, 0, 3, 0, 4, 2, 4, 0, 3, 2, 1, 0, 2, 2, 2, 4, 1, 4, 0, 3, 3, 1, 3, 0, 2, 1, 1, 4, 4, 4, 3, 3, 3, 4, 2, 4, 0, 4, 2, 0, 3, 0, 1, 0, 0, 1, 3, 4, 4, 4, 3, 3, 0, 3, 1, 4, 4, 0, 2, 1, 0, 0, 4, 0, 4, 0, 1, 0, 4, 3, 1, 2, 2, 3, 2, 0, 4, 3, 0, 3, 1, 0, 0, 0, 0, 3, 1, 3, 4, 2, 4, 3, 2, 3, 4, 3, 4, 1, 4, 2, 3, 3, 4, 1, 3, 4, 3, 1, 0, 1, 3, 2, 4, 1, 4, 1, 2, 3, 1, 4, 0, 3, 4, 2, 0, 1, 2, 3, 4, 0, 4, 0, 4, 1, 3, 3, 1, 3, 0, 0, 0, 0, 1, 2, 2, 3, 2, 2, 2, 0, 1, 1, 3, 2, 2, 0, 3, 0, 4, 4, 1, 3, 1, 2, 3, 1, 2, 3, 0, 0, 3, 0, 0, 0, 4, 2, 2, 1, 4, 2, 0, 2, 1, 3, 2, 2, 0, 3, 4, 2, 2, 3, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 1, 4, 2, 3, 2, 1, 1, 1, 4, 3, 2, 3, 2, 3, 4, 0, 4, 4, 4, 0, 3, 4, 3, 4, 0, 3, 3, 0, 2, 0, 1, 3, 3, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 4, 4, 1, 4, 2, 2, 2, 2, 0, 0, 4, 0, 1, 3, 4, 0]
pubkeycol1234 = [1, 3, 0, 4, 0, 2, 0, 0, 1, 4, 4, 4, 1, 4, 4, 3, 0, 0, 1, 3, 0, 2, 4, 1, 0, 3, 1, 4, 0, 1, 3, 0, 4, 0, 4, 4, 3, 3, 4, 4, 1, 0, 3, 2, 3, 0, 1, 3, 4, 1, 4, 2, 4, 3, 1, 4, 3, 3, 3, 2, 3, 4, 0, 2, 1, 4, 2, 1, 4, 4, 1, 2, 0, 3, 2, 2, 0, 2, 3, 1, 2, 0, 3, 0, 0, 2, 2, 4, 4, 1, 1, 0, 0, 4, 2, 3, 3, 3, 2, 0, 0, 2, 3, 0, 1, 3, 0, 3, 3, 2, 3, 2, 1, 4, 0, 2, 2, 1, 4, 2, 1, 2, 4, 3, 3, 0, 3, 1, 4, 0, 4, 3, 3, 0, 1, 2, 4, 2, 4, 1, 4, 4, 2, 0, 2, 4, 4, 3, 2, 4, 4, 2, 2, 0, 4, 0, 4, 1, 4, 2, 0, 2, 3, 4, 0, 3, 2, 4, 1, 4, 2, 1, 4, 3, 1, 1, 3, 1, 0, 2, 3, 1, 2, 2, 2, 0, 3, 0, 3, 3, 1, 1, 3, 0, 2, 1, 4, 0, 0, 0, 0, 0, 3, 2, 0, 0, 1, 4, 0, 2, 3, 4, 1, 4, 2, 3, 1, 2, 0, 3, 1, 2, 3, 4, 4, 4, 0, 3, 1, 3, 1, 3, 4, 4, 4, 2, 3, 2, 3, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 4, 0, 2, 0, 3, 2, 1, 0, 0, 1, 0, 0, 0, 3, 1, 1, 2, 2, 2, 3, 0, 3, 4, 0, 3, 4, 3, 0, 4, 4, 0, 1, 0, 2, 0, 0, 3, 4, 1, 3, 1, 3, 1, 4, 3, 1, 0, 2, 4, 1, 2, 1, 1, 1, 0, 3, 1, 0, 4, 4, 4, 1, 4, 3, 4, 4, 2, 3, 0, 4, 0, 0, 2, 4, 3, 2, 4, 2, 4, 4, 3, 0, 3, 4, 0, 1, 2, 4, 0, 1, 3, 1, 2, 4, 3, 4, 0, 4, 1, 3, 1, 3, 0, 2, 1, 1, 2, 3, 4, 1, 4, 4, 3, 4, 1, 2, 0, 4, 4, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 4, 1, 2, 0, 3, 2, 4, 0, 4, 1, 2, 3, 2, 3, 0, 1, 0, 2, 3, 2, 1, 3, 4, 0, 0, 2, 2, 3, 2, 3, 2, 3, 0, 2, 2, 4, 0, 1, 0, 0, 2, 3, 4, 2, 4, 0, 3, 0, 2, 2, 1, 0, 2, 0, 3, 1, 4, 1, 4, 0, 2, 1, 1, 3, 0, 4, 1, 0, 0, 4, 0, 1, 3, 1, 4, 2, 4, 4, 2, 1, 2, 1, 1, 4, 3, 0, 3, 0, 1, 2, 2, 2, 4, 3, 4, 4, 2, 3, 2, 4, 4, 0, 3, 1, 3, 0, 1, 1, 0, 1, 4, 1, 3, 4, 1, 0, 4, 4, 3, 3, 2, 1]
pubkeycol1235 = [0, 1, 3, 4, 4, 4, 3, 1, 1, 2, 3, 4, 3, 3, 2, 0, 0, 1, 0, 4, 2, 2, 4, 2, 3, 2, 0, 2, 4, 1, 0, 3, 4, 3, 2, 1, 4, 3, 3, 1, 2, 1, 4, 2, 0, 4, 4, 3, 2, 4, 2, 4, 1, 0, 3, 2, 1, 0, 1, 3, 0, 4, 4, 3, 1, 0, 4, 2, 1, 4, 1, 2, 3, 4, 3, 0, 0, 0, 0, 2, 1, 2, 0, 4, 3, 3, 2, 2, 2, 4, 2, 3, 4, 2, 4, 3, 2, 4, 3, 4, 1, 4, 4, 2, 4, 3, 3, 3, 3, 3, 2, 4, 2, 0, 1, 3, 1, 0, 1, 0, 3, 3, 4, 0, 2, 0, 0, 4, 2, 4, 2, 2, 2, 4, 2, 0, 4, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 3, 4, 2, 1, 2, 4, 3, 1, 1, 3, 0, 2, 0, 0, 4, 1, 3, 2, 2, 3, 4, 0, 1, 2, 2, 0, 2, 1, 3, 1, 4, 1, 2, 3, 4, 4, 4, 1, 3, 3, 2, 0, 0, 1, 0, 0, 2, 0, 2, 3, 0, 3, 4, 4, 2, 3, 3, 1, 0, 3, 0, 4, 2, 2, 4, 1, 1, 4, 4, 0, 3, 2, 2, 1, 1, 2, 3, 4, 1, 2, 0, 3, 4, 2, 1, 3, 2, 4, 1, 0, 0, 2, 4, 1, 2, 2, 0, 3, 4, 2, 4, 2, 4, 4, 3, 0, 4, 3, 0, 1, 3, 2, 0, 1, 3, 3, 2, 3, 3, 1, 4, 4, 0, 0, 3, 4, 2, 4, 1, 3, 0, 1, 2, 4, 3, 2, 3, 2, 4, 2, 1, 3, 4, 3, 4, 2, 4, 4, 0, 0, 3, 1, 0, 1, 1, 4, 3, 3, 1, 0, 3, 2, 1, 4, 3, 1, 4, 0, 4, 4, 3, 4, 0, 0, 3, 2, 4, 4, 2, 3, 4, 0, 4, 4, 4, 3, 3, 1, 2, 1, 3, 2, 3, 3, 2, 3, 0, 3, 1, 4, 1, 2, 0, 4, 1, 0, 3, 0, 2, 1, 1, 4, 2, 3, 3, 0, 4, 1, 2, 2, 3, 0, 1, 0, 3, 1, 3, 1, 0, 0, 0, 4, 3, 2, 3, 4, 0, 4, 4, 1, 3, 3, 1, 1, 1, 2, 0, 1, 3, 1, 2, 3, 3, 1, 0, 1, 2, 3, 2, 0, 0, 2, 3, 2, 1, 4, 0, 0, 3, 1, 0, 0, 4, 2, 1, 4, 1, 4, 2, 4, 2, 2, 3, 2, 0, 4, 4, 3, 2, 0, 2, 0, 1, 2, 1, 2, 2, 3, 1, 1, 3, 4, 2, 2, 3, 2, 4, 2, 1, 4, 2, 2, 4, 4, 1, 0, 4, 3, 0, 2, 1, 4, 0, 0, 1, 2, 4, 3, 0, 2, 1, 1, 2, 0, 4, 0, 3, 4, 1, 3, 4, 3, 0, 0, 4, 1, 1, 4, 0, 0, 2, 0, 4, 2]
pubkeycol1236 = [0, 1, 3, 4, 0, 3, 3, 4, 2, 2, 3, 2, 4, 4, 4, 4, 0, 3, 2, 3, 2, 3, 3, 1, 3, 4, 3, 2, 2, 4, 3, 3, 1, 1, 0, 4, 3, 3, 2, 4, 4, 3, 3, 3, 0, 2, 0, 3, 4, 0, 3, 2, 4, 2, 4, 4, 0, 2, 0, 3, 0, 2, 0, 3, 0, 0, 2, 1, 2, 0, 0, 0, 2, 3, 0, 2, 1, 1, 4, 4, 2, 0, 2, 4, 0, 2, 0, 1, 1, 0, 3, 0, 3, 3, 1, 0, 1, 4, 3, 0, 2, 1, 3, 1, 3, 2, 2, 4, 3, 1, 0, 1, 4, 2, 3, 0, 0, 2, 3, 0, 1, 2, 4, 1, 3, 1, 0, 0, 4, 3, 3, 4, 4, 3, 4, 0, 2, 4, 2, 4, 4, 1, 1, 1, 0, 0, 2, 1, 4, 4, 3, 1, 0, 4, 2, 3, 1, 2, 1, 2, 1, 2, 0, 1, 4, 2, 4, 4, 0, 0, 1, 1, 0, 1, 3, 3, 1, 1, 0, 3, 3, 1, 4, 1, 4, 2, 2, 1, 4, 4, 3, 1, 1, 4, 3, 1, 3, 1, 3, 2, 1, 4, 0, 4, 2, 1, 1, 4, 2, 0, 1, 0, 3, 0, 4, 1, 0, 1, 4, 2, 1, 0, 2, 1, 3, 3, 4, 0, 1, 0, 2, 3, 1, 0, 4, 2, 0, 0, 3, 0, 0, 0, 1, 4, 3, 3, 2, 1, 0, 1, 2, 1, 0, 0, 3, 0, 2, 3, 2, 1, 4, 4, 4, 1, 3, 0, 2, 2, 2, 0, 3, 2, 4, 4, 4, 0, 3, 0, 1, 3, 1, 4, 1, 2, 2, 1, 1, 2, 1, 2, 3, 4, 0, 4, 3, 2, 2, 2, 4, 1, 1, 4, 3, 2, 0, 3, 2, 2, 4, 4, 4, 4, 4, 3, 0, 4, 4, 2, 3, 1, 3, 1, 2, 2, 1, 4, 4, 0, 2, 3, 3, 0, 3, 1, 1, 2, 3, 3, 4, 1, 4, 4, 3, 3, 4, 1, 0, 2, 4, 2, 0, 3, 1, 4, 1, 4, 4, 2, 1, 2, 2, 3, 3, 2, 2, 2, 0, 3, 4, 4, 2, 0, 4, 1, 2, 0, 3, 4, 4, 0, 1, 2, 1, 4, 3, 3, 2, 1, 2, 3, 4, 2, 1, 2, 2, 0, 4, 0, 0, 4, 2, 4, 2, 2, 0, 3, 4, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 4, 1, 0, 2, 3, 2, 3, 3, 0, 3, 1, 4, 0, 1, 1, 2, 1, 0, 3, 4, 4, 3, 3, 0, 1, 0, 0, 1, 3, 1, 2, 2, 1, 1, 4, 1, 1, 0, 4, 0, 2, 0, 3, 4, 0, 3, 1, 2, 1, 0, 4, 0, 2, 4, 3, 0, 0, 2, 1, 3, 3, 0, 4, 3, 0, 0, 0, 0, 1, 2, 0, 1, 0, 3, 0, 1, 1, 0, 3, 2, 1, 1, 2, 0, 3]
pubkeycol1237 = [4, 4, 3, 4, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 4, 4, 1, 3, 2, 3, 2, 4, 2, 2, 3, 1, 2, 4, 2, 0, 4, 0, 2, 2, 4, 3, 0, 2, 2, 2, 1, 3, 1, 0, 3, 4, 0, 4, 1, 3, 2, 4, 0, 0, 0, 3, 4, 1, 0, 1, 1, 4, 4, 0, 2, 0, 1, 3, 1, 2, 4, 2, 3, 2, 1, 0, 2, 1, 0, 2, 4, 4, 0, 0, 2, 0, 3, 0, 3, 0, 3, 3, 2, 3, 4, 4, 1, 1, 3, 2, 4, 1, 2, 0, 0, 1, 4, 3, 3, 0, 4, 3, 1, 1, 4, 0, 2, 1, 1, 1, 0, 2, 0, 3, 0, 4, 3, 4, 2, 2, 0, 2, 4, 0, 4, 1, 2, 3, 0, 4, 3, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 4, 0, 0, 4, 0, 1, 2, 1, 3, 0, 0, 2, 2, 2, 1, 3, 3, 4, 1, 0, 2, 4, 2, 4, 0, 2, 0, 2, 1, 4, 3, 3, 1, 4, 4, 4, 4, 2, 0, 2, 3, 1, 1, 0, 4, 0, 2, 3, 0, 2, 3, 4, 1, 3, 2, 3, 3, 2, 2, 4, 3, 3, 3, 4, 4, 0, 2, 2, 0, 1, 0, 2, 4, 2, 4, 0, 4, 2, 0, 4, 0, 2, 2, 2, 3, 1, 3, 4, 2, 4, 1, 3, 2, 1, 2, 2, 0, 4, 1, 3, 0, 1, 4, 2, 0, 2, 1, 0, 4, 4, 1, 1, 2, 4, 0, 2, 4, 0, 3, 1, 4, 4, 4, 3, 2, 4, 1, 4, 1, 0, 0, 4, 3, 0, 2, 3, 4, 4, 4, 2, 2, 1, 4, 0, 3, 1, 4, 1, 0, 1, 0, 3, 1, 4, 4, 4, 4, 3, 1, 3, 2, 3, 2, 3, 1, 2, 2, 3, 1, 2, 2, 2, 3, 2, 4, 2, 0, 4, 1, 2, 4, 4, 1, 2, 3, 0, 4, 1, 4, 1, 4, 4, 3, 3, 1, 4, 2, 1, 3, 4, 4, 3, 4, 0, 4, 3, 0, 3, 3, 0, 1, 0, 1, 2, 2, 1, 1, 4, 1, 3, 2, 2, 0, 0, 4, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 4, 1, 4, 2, 4, 1, 1, 4, 3, 1, 1, 4, 4, 0, 1, 4, 3, 0, 2, 3, 2, 2, 3, 0, 4, 3, 2, 3, 1, 4, 4, 0, 1, 0, 0, 3, 0, 2, 1, 3, 4, 1, 4, 2, 0, 2, 1, 0, 3, 3, 0, 1, 2, 4, 0, 0, 0, 4, 1, 1, 4, 3, 0, 1, 3, 0, 2, 1, 3, 3, 2, 1, 2, 4, 3, 3, 4, 0, 2, 3, 3, 2, 2, 2, 3, 0, 3, 0, 0, 0, 0, 2, 1, 3, 1, 3, 1, 4, 3, 4, 2, 2, 3, 0, 2, 2, 1, 2, 2, 0, 2, 4, 0, 3]
pubkeycol1238 = [1, 1, 1, 0, 4, 3, 4, 1, 4, 4, 2, 4, 3, 3, 2, 0, 2, 0, 4, 3, 0, 2, 4, 4, 0, 0, 0, 4, 2, 4, 0, 1, 4, 0, 1, 2, 3, 2, 3, 0, 2, 0, 1, 2, 4, 4, 4, 4, 2, 3, 4, 0, 3, 2, 2, 2, 4, 1, 4, 0, 1, 4, 4, 1, 4, 1, 3, 0, 2, 2, 2, 4, 4, 0, 3, 1, 4, 1, 0, 1, 4, 0, 4, 4, 0, 1, 4, 4, 2, 4, 0, 2, 3, 3, 0, 2, 1, 4, 0, 1, 2, 2, 2, 3, 3, 4, 3, 0, 4, 0, 2, 3, 1, 3, 3, 0, 0, 1, 1, 0, 3, 1, 4, 1, 0, 3, 0, 1, 4, 0, 2, 0, 1, 4, 4, 1, 0, 4, 1, 0, 0, 4, 2, 2, 2, 4, 4, 1, 0, 2, 1, 4, 0, 3, 1, 1, 4, 4, 2, 0, 0, 2, 3, 1, 4, 3, 0, 1, 0, 2, 2, 2, 2, 4, 1, 0, 0, 4, 0, 0, 1, 3, 0, 2, 0, 1, 3, 2, 0, 0, 3, 1, 4, 0, 4, 2, 1, 1, 1, 1, 0, 3, 4, 0, 2, 3, 4, 0, 2, 3, 0, 1, 2, 1, 1, 4, 2, 1, 1, 3, 2, 4, 2, 0, 2, 1, 2, 2, 3, 1, 0, 0, 2, 2, 0, 2, 4, 4, 4, 2, 1, 2, 3, 1, 2, 2, 2, 0, 1, 4, 0, 4, 3, 0, 4, 3, 1, 3, 1, 4, 3, 2, 4, 3, 3, 1, 3, 1, 4, 1, 2, 3, 1, 0, 4, 0, 0, 4, 4, 3, 0, 1, 3, 2, 2, 0, 3, 3, 3, 4, 0, 3, 1, 4, 0, 4, 4, 4, 1, 1, 2, 3, 0, 1, 1, 3, 0, 4, 4, 4, 4, 1, 3, 4, 1, 4, 4, 3, 2, 0, 1, 3, 4, 3, 2, 3, 1, 1, 0, 4, 4, 2, 0, 3, 1, 1, 1, 4, 4, 1, 3, 3, 3, 1, 4, 0, 1, 3, 0, 1, 1, 3, 2, 0, 1, 1, 3, 3, 3, 4, 1, 3, 3, 0, 3, 0, 4, 1, 2, 2, 2, 3, 1, 4, 4, 4, 2, 4, 1, 2, 4, 1, 0, 1, 4, 1, 2, 2, 0, 2, 4, 4, 2, 1, 3, 1, 3, 1, 1, 0, 2, 1, 4, 2, 2, 2, 2, 0, 4, 1, 1, 3, 1, 1, 3, 3, 3, 3, 4, 0, 3, 1, 1, 1, 0, 0, 0, 4, 4, 2, 2, 1, 3, 2, 3, 2, 3, 2, 2, 1, 2, 3, 4, 0, 3, 1, 4, 2, 3, 0, 3, 1, 1, 1, 3, 4, 0, 3, 2, 2, 0, 0, 4, 0, 3, 0, 2, 4, 1, 2, 2, 2, 3, 4, 0, 1, 2, 4, 2, 3, 2, 3, 3, 3, 1, 2, 2, 1, 2, 3, 4, 0, 1, 1, 4, 2, 0, 0, 0, 4, 0, 0, 2, 2, 1]
pubkeycol1239 = [2, 4, 4, 2, 3, 3, 4, 1, 0, 3, 2, 4, 4, 3, 3, 3, 1, 4, 3, 1, 0, 1, 1, 0, 3, 0, 2, 3, 0, 3, 3, 0, 1, 1, 4, 3, 2, 3, 4, 2, 4, 3, 3, 3, 2, 2, 0, 4, 3, 2, 1, 2, 0, 0, 1, 4, 3, 4, 3, 0, 4, 3, 2, 2, 2, 2, 0, 2, 3, 3, 4, 3, 3, 0, 4, 3, 4, 4, 1, 4, 4, 0, 1, 3, 2, 1, 4, 3, 1, 2, 1, 4, 0, 1, 4, 4, 3, 0, 3, 1, 2, 0, 1, 4, 1, 1, 4, 2, 1, 3, 0, 4, 1, 3, 4, 1, 1, 2, 3, 1, 1, 1, 4, 2, 2, 4, 0, 4, 2, 1, 1, 2, 0, 2, 3, 0, 4, 3, 0, 1, 3, 1, 1, 3, 3, 2, 2, 2, 2, 0, 2, 1, 2, 4, 3, 0, 0, 0, 4, 4, 0, 2, 2, 2, 3, 1, 1, 0, 2, 0, 0, 2, 4, 3, 3, 0, 0, 1, 0, 4, 4, 3, 2, 3, 1, 2, 0, 4, 3, 2, 0, 2, 3, 1, 4, 1, 4, 0, 4, 2, 3, 4, 1, 4, 4, 3, 0, 2, 1, 1, 3, 0, 3, 2, 2, 4, 0, 4, 1, 1, 4, 2, 1, 0, 4, 1, 1, 1, 2, 4, 0, 2, 0, 3, 2, 1, 1, 0, 4, 1, 4, 2, 3, 3, 1, 1, 2, 1, 0, 3, 3, 4, 2, 3, 0, 1, 1, 3, 1, 0, 4, 1, 4, 0, 3, 4, 3, 2, 1, 2, 4, 4, 0, 2, 0, 3, 3, 1, 1, 3, 3, 2, 1, 3, 2, 2, 2, 1, 1, 4, 1, 0, 4, 3, 1, 2, 4, 1, 4, 3, 1, 4, 3, 0, 0, 3, 2, 2, 4, 1, 1, 2, 4, 4, 3, 2, 2, 1, 1, 3, 2, 3, 3, 1, 0, 0, 0, 1, 4, 3, 1, 1, 4, 1, 4, 4, 4, 3, 2, 4, 1, 2, 3, 3, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 4, 3, 0, 1, 2, 3, 2, 0, 3, 1, 3, 3, 3, 0, 1, 1, 0, 1, 3, 2, 1, 0, 4, 3, 3, 2, 4, 1, 3, 0, 0, 0, 4, 1, 3, 4, 4, 0, 3, 4, 2, 3, 3, 2, 1, 1, 0, 2, 3, 1, 4, 0, 1, 0, 4, 1, 3, 3, 0, 1, 0, 1, 2, 3, 1, 2, 2, 0, 2, 3, 0, 1, 3, 4, 1, 4, 0, 4, 0, 1, 2, 4, 1, 2, 4, 4, 2, 2, 1, 2, 1, 2, 4, 0, 0, 0, 2, 0, 3, 2, 0, 0, 1, 0, 2, 4, 0, 2, 3, 3, 1, 4, 0, 4, 0, 3, 2, 4, 4, 4, 2, 0, 0, 3, 4, 3, 2, 0, 0, 4, 0, 3, 3, 3, 4, 2, 0, 0, 2, 2, 0, 2, 0, 0, 4, 2]
pubkeycol1240 = [3, 1, 2, 0, 0, 1, 2, 3, 1, 1, 4, 3, 3, 4, 4, 1, 1, 3, 0, 3, 2, 0, 1, 4, 0, 0, 3, 2, 2, 4, 2, 1, 4, 1, 4, 4, 3, 1, 1, 0, 2, 4, 0, 2, 2, 1, 4, 2, 3, 3, 3, 4, 0, 0, 1, 4, 1, 4, 0, 1, 0, 4, 3, 4, 2, 3, 1, 4, 2, 0, 2, 0, 4, 2, 0, 0, 2, 3, 1, 1, 2, 1, 4, 4, 1, 2, 2, 0, 4, 2, 3, 1, 3, 3, 3, 1, 4, 3, 2, 3, 0, 2, 0, 0, 2, 2, 2, 4, 2, 1, 3, 3, 0, 4, 4, 4, 4, 4, 4, 3, 1, 2, 2, 0, 0, 4, 0, 2, 3, 1, 0, 0, 1, 4, 4, 0, 1, 0, 1, 2, 4, 3, 0, 3, 1, 2, 1, 4, 4, 4, 0, 1, 4, 0, 1, 2, 1, 0, 2, 2, 2, 3, 2, 4, 0, 1, 0, 2, 1, 0, 0, 2, 2, 3, 0, 0, 2, 0, 3, 3, 3, 4, 0, 2, 1, 0, 2, 0, 2, 0, 3, 4, 1, 1, 0, 1, 1, 4, 0, 1, 0, 3, 0, 3, 3, 4, 0, 3, 4, 3, 1, 1, 2, 1, 1, 3, 1, 0, 3, 4, 3, 1, 3, 2, 3, 2, 2, 4, 3, 0, 3, 0, 3, 1, 4, 4, 2, 0, 3, 2, 0, 1, 3, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 3, 2, 2, 2, 3, 0, 3, 4, 1, 0, 2, 2, 2, 0, 4, 1, 0, 3, 0, 0, 3, 2, 4, 2, 3, 0, 3, 4, 2, 2, 1, 4, 4, 1, 4, 3, 0, 2, 1, 2, 1, 3, 4, 0, 0, 1, 4, 3, 2, 2, 0, 3, 0, 3, 4, 0, 3, 0, 3, 4, 4, 0, 3, 1, 0, 4, 3, 1, 1, 2, 4, 3, 4, 0, 3, 2, 3, 4, 2, 0, 1, 3, 2, 2, 3, 0, 3, 1, 1, 0, 4, 4, 0, 3, 4, 1, 2, 0, 3, 0, 0, 2, 0, 2, 3, 2, 1, 2, 0, 3, 0, 1, 3, 2, 2, 3, 3, 3, 1, 1, 0, 1, 2, 3, 3, 0, 1, 1, 4, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 4, 0, 3, 3, 3, 0, 2, 3, 1, 4, 1, 4, 0, 0, 4, 4, 4, 2, 1, 2, 2, 1, 3, 3, 0, 3, 3, 0, 4, 4, 2, 4, 1, 0, 3, 4, 0, 4, 0, 2, 2, 4, 3, 2, 3, 3, 1, 3, 3, 0, 1, 2, 0, 2, 4, 2, 0, 3, 3, 0, 2, 4, 1, 4, 3, 1, 4, 3, 0, 2, 1, 4, 4, 1, 4, 0, 3, 3, 0, 0, 4, 0, 4, 0, 0, 2, 1, 2, 4, 1, 1, 1, 1, 0, 2, 3, 4, 4, 4, 0, 1, 4, 4, 4, 1, 0, 2]
pubkeycol1241 = [1, 1, 4, 4, 0, 3, 3, 2, 4, 1, 0, 3, 1, 1, 3, 1, 1, 0, 3, 1, 3, 0, 3, 0, 4, 0, 3, 4, 0, 2, 0, 4, 1, 4, 0, 3, 2, 1, 4, 1, 0, 1, 4, 0, 1, 2, 1, 1, 0, 4, 4, 0, 4, 0, 0, 2, 2, 0, 3, 0, 1, 3, 3, 0, 2, 2, 3, 3, 4, 2, 4, 0, 4, 1, 4, 1, 2, 1, 0, 3, 1, 4, 4, 0, 3, 0, 1, 1, 1, 4, 0, 1, 1, 0, 1, 3, 2, 3, 0, 1, 3, 0, 4, 3, 1, 0, 2, 0, 4, 4, 0, 4, 1, 2, 3, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 3, 3, 1, 0, 2, 0, 2, 2, 3, 4, 3, 1, 4, 1, 0, 3, 2, 1, 3, 0, 4, 4, 3, 1, 1, 4, 4, 2, 0, 3, 3, 1, 3, 0, 1, 1, 2, 4, 1, 4, 1, 2, 1, 1, 1, 3, 0, 1, 1, 4, 1, 0, 2, 4, 2, 3, 0, 3, 3, 4, 0, 4, 0, 0, 2, 0, 2, 1, 3, 4, 1, 0, 0, 2, 4, 1, 2, 2, 4, 0, 1, 3, 4, 2, 0, 1, 1, 2, 0, 4, 2, 1, 0, 0, 2, 2, 4, 0, 0, 4, 1, 4, 0, 3, 4, 0, 2, 4, 3, 0, 2, 2, 1, 2, 2, 0, 3, 3, 1, 2, 3, 4, 0, 2, 2, 3, 1, 1, 4, 1, 3, 3, 1, 2, 4, 0, 0, 2, 3, 2, 3, 0, 4, 3, 1, 4, 4, 0, 4, 0, 3, 1, 0, 4, 2, 1, 0, 4, 1, 0, 0, 3, 3, 2, 0, 2, 1, 1, 3, 3, 0, 2, 0, 4, 0, 3, 0, 4, 2, 1, 2, 2, 0, 3, 4, 3, 3, 3, 0, 2, 4, 0, 4, 2, 4, 2, 4, 3, 3, 3, 1, 1, 4, 2, 4, 0, 4, 4, 3, 4, 0, 0, 0, 4, 4, 0, 3, 3, 2, 0, 2, 3, 1, 1, 2, 1, 0, 3, 4, 4, 4, 4, 2, 4, 0, 4, 4, 1, 3, 0, 2, 0, 2, 0, 2, 0, 3, 2, 0, 4, 4, 1, 2, 4, 1, 0, 0, 3, 4, 2, 3, 4, 0, 2, 0, 3, 1, 0, 2, 1, 4, 2, 0, 2, 1, 1, 3, 3, 1, 0, 0, 1, 4, 0, 3, 0, 0, 2, 3, 4, 1, 2, 2, 1, 0, 1, 1, 3, 1, 2, 3, 0, 3, 0, 0, 2, 1, 3, 4, 4, 3, 0, 1, 0, 4, 1, 0, 4, 0, 4, 1, 4, 4, 4, 1, 3, 3, 3, 2, 0, 2, 4, 2, 4, 4, 2, 2, 1, 1, 2, 3, 0, 0, 0, 4, 4, 2, 3, 2, 0, 3, 1, 0, 1, 2, 3, 2, 4, 3, 3, 2, 3, 2, 3, 1, 1, 1, 4, 0, 4, 0, 0, 4, 1, 3, 2, 1, 2, 0, 2]
pubkeycol1242 = [3, 1, 0, 4, 2, 4, 2, 2, 1, 2, 4, 1, 2, 2, 0, 4, 1, 3, 3, 0, 0, 0, 2, 0, 2, 3, 0, 2, 1, 4, 1, 0, 4, 1, 4, 3, 4, 1, 3, 0, 2, 3, 3, 2, 4, 2, 3, 3, 2, 2, 3, 4, 3, 4, 4, 2, 0, 0, 3, 2, 3, 3, 1, 3, 3, 1, 4, 4, 1, 2, 3, 0, 2, 2, 1, 2, 1, 4, 4, 0, 0, 3, 1, 4, 3, 2, 0, 2, 1, 0, 3, 3, 2, 2, 0, 2, 4, 2, 1, 1, 4, 2, 3, 4, 3, 4, 3, 4, 3, 3, 4, 2, 4, 3, 4, 3, 2, 0, 0, 4, 2, 1, 3, 0, 4, 1, 0, 3, 3, 2, 4, 3, 2, 4, 0, 4, 2, 3, 2, 4, 0, 4, 4, 4, 3, 3, 1, 3, 3, 1, 3, 3, 2, 0, 1, 1, 3, 1, 2, 2, 2, 4, 4, 4, 0, 4, 2, 3, 2, 4, 2, 1, 4, 1, 0, 1, 2, 4, 3, 4, 4, 1, 2, 4, 0, 0, 1, 3, 1, 4, 3, 3, 4, 3, 2, 2, 0, 4, 1, 1, 3, 4, 2, 4, 0, 4, 1, 0, 1, 0, 3, 4, 4, 0, 1, 1, 1, 0, 1, 1, 3, 1, 2, 1, 3, 0, 1, 0, 4, 0, 1, 4, 2, 2, 2, 3, 1, 0, 0, 0, 4, 2, 4, 4, 0, 0, 2, 1, 2, 2, 3, 4, 1, 2, 3, 4, 0, 1, 4, 0, 0, 3, 4, 2, 1, 3, 4, 1, 4, 2, 3, 0, 4, 4, 4, 2, 2, 3, 1, 4, 2, 0, 1, 1, 0, 2, 2, 4, 4, 1, 1, 3, 2, 1, 0, 2, 3, 0, 0, 0, 4, 0, 2, 2, 0, 1, 3, 4, 2, 3, 4, 1, 4, 4, 2, 4, 3, 0, 2, 2, 0, 3, 3, 3, 1, 2, 0, 2, 1, 0, 0, 0, 0, 3, 1, 2, 2, 3, 3, 4, 0, 2, 1, 0, 2, 2, 3, 1, 0, 3, 1, 4, 0, 4, 0, 1, 3, 2, 0, 3, 4, 2, 1, 3, 4, 0, 1, 3, 4, 2, 4, 1, 0, 1, 1, 4, 1, 1, 3, 2, 4, 2, 0, 3, 3, 0, 3, 2, 2, 0, 3, 0, 3, 2, 3, 3, 4, 4, 4, 1, 4, 3, 0, 0, 2, 4, 3, 4, 1, 1, 3, 3, 4, 3, 2, 0, 2, 3, 4, 4, 4, 4, 1, 3, 2, 4, 3, 3, 0, 3, 4, 3, 1, 2, 4, 2, 0, 0, 2, 0, 3, 0, 0, 3, 1, 3, 0, 2, 3, 3, 4, 4, 4, 0, 1, 4, 2, 0, 1, 0, 2, 1, 4, 4, 2, 1, 2, 2, 2, 1, 1, 4, 1, 4, 4, 2, 0, 3, 3, 1, 4, 1, 4, 1, 2, 4, 0, 3, 2, 2, 2, 0, 2, 4, 1, 2, 1, 0, 2, 0, 2, 4, 1, 0, 1]
pubkeycol1243 = [4, 4, 3, 4, 2, 4, 4, 3, 2, 1, 2, 4, 0, 2, 4, 0, 0, 1, 1, 1, 1, 2, 4, 1, 3, 0, 3, 1, 3, 0, 3, 1, 2, 3, 0, 2, 3, 2, 3, 1, 1, 4, 2, 4, 1, 4, 1, 4, 0, 4, 0, 3, 3, 2, 1, 0, 4, 4, 1, 2, 2, 0, 2, 1, 0, 2, 3, 1, 0, 2, 0, 2, 4, 2, 4, 2, 2, 1, 1, 4, 2, 4, 0, 2, 0, 2, 4, 3, 4, 0, 0, 0, 2, 3, 0, 0, 0, 4, 3, 2, 0, 1, 0, 0, 3, 0, 4, 3, 0, 1, 0, 2, 1, 2, 2, 2, 1, 4, 3, 4, 0, 1, 0, 3, 4, 0, 4, 0, 3, 0, 2, 2, 2, 1, 4, 0, 3, 2, 4, 3, 3, 0, 1, 0, 0, 0, 0, 3, 3, 2, 3, 1, 1, 3, 4, 1, 2, 2, 2, 0, 0, 4, 1, 3, 3, 3, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 4, 4, 1, 2, 4, 1, 0, 2, 3, 2, 0, 0, 2, 3, 0, 2, 4, 0, 2, 1, 1, 3, 3, 0, 4, 3, 4, 3, 0, 1, 1, 2, 0, 4, 4, 1, 0, 2, 0, 4, 2, 4, 0, 3, 1, 3, 3, 4, 2, 2, 3, 2, 4, 4, 2, 2, 4, 3, 4, 2, 3, 2, 3, 2, 2, 1, 2, 4, 4, 3, 3, 3, 1, 4, 4, 3, 0, 4, 0, 3, 1, 1, 1, 4, 0, 3, 4, 2, 4, 4, 3, 0, 1, 4, 4, 4, 4, 0, 3, 4, 4, 4, 2, 4, 3, 4, 2, 2, 1, 4, 0, 2, 4, 0, 3, 4, 1, 0, 0, 0, 2, 2, 2, 3, 0, 4, 3, 3, 3, 0, 3, 0, 2, 0, 1, 2, 1, 3, 4, 3, 1, 2, 2, 1, 2, 4, 4, 1, 4, 4, 0, 2, 3, 0, 4, 3, 1, 4, 3, 2, 0, 0, 2, 3, 2, 2, 4, 0, 2, 0, 3, 4, 4, 3, 3, 3, 0, 1, 4, 2, 3, 2, 0, 4, 0, 1, 4, 4, 2, 1, 3, 4, 3, 0, 0, 1, 0, 4, 3, 0, 2, 2, 0, 4, 2, 3, 1, 2, 1, 0, 4, 1, 2, 2, 2, 1, 1, 4, 2, 4, 0, 0, 0, 3, 2, 1, 3, 0, 1, 4, 2, 3, 0, 1, 0, 1, 4, 2, 3, 3, 0, 0, 3, 2, 3, 3, 0, 0, 0, 4, 2, 2, 2, 0, 3, 2, 4, 1, 3, 0, 3, 1, 1, 1, 1, 2, 0, 4, 4, 1, 0, 4, 0, 0, 1, 1, 3, 1, 1, 2, 2, 0, 3, 3, 4, 3, 2, 4, 3, 1, 3, 1, 4, 4, 3, 1, 2, 3, 1, 4, 1, 0, 4, 4, 1, 2, 1, 2, 1, 0, 0, 3, 1, 3, 2, 4, 2, 4, 3, 1, 3, 2, 4, 1, 3, 4, 2, 2]
pubkeycol1244 = [1, 0, 4, 2, 1, 3, 3, 3, 2, 0, 4, 3, 3, 0, 4, 3, 3, 1, 2, 3, 0, 3, 0, 2, 4, 1, 2, 1, 4, 3, 0, 1, 1, 3, 3, 2, 3, 4, 1, 0, 0, 1, 4, 0, 2, 1, 2, 4, 4, 0, 2, 3, 1, 1, 2, 3, 1, 2, 0, 3, 2, 0, 0, 1, 2, 4, 4, 1, 2, 1, 4, 2, 2, 2, 3, 4, 1, 4, 1, 2, 4, 2, 4, 4, 4, 4, 1, 3, 2, 3, 0, 3, 2, 2, 4, 1, 3, 4, 2, 3, 1, 0, 0, 1, 1, 4, 0, 4, 3, 4, 2, 0, 2, 3, 4, 2, 3, 0, 0, 3, 3, 2, 1, 1, 3, 2, 1, 2, 4, 4, 0, 2, 0, 2, 2, 3, 4, 2, 3, 3, 4, 1, 2, 2, 3, 1, 1, 3, 2, 4, 1, 3, 3, 2, 3, 2, 4, 2, 1, 2, 1, 1, 0, 2, 1, 4, 3, 3, 2, 4, 4, 3, 3, 1, 2, 3, 4, 4, 2, 2, 2, 4, 0, 2, 4, 2, 2, 1, 1, 1, 4, 4, 3, 0, 1, 2, 1, 3, 0, 1, 4, 0, 0, 1, 3, 4, 3, 3, 1, 4, 4, 4, 1, 1, 4, 0, 4, 1, 0, 3, 2, 4, 3, 2, 4, 1, 0, 1, 0, 1, 3, 2, 0, 0, 3, 4, 2, 4, 1, 0, 4, 4, 2, 2, 0, 4, 3, 0, 0, 3, 0, 3, 4, 3, 0, 3, 1, 0, 1, 2, 1, 0, 2, 3, 1, 4, 0, 1, 3, 2, 3, 3, 0, 4, 1, 2, 3, 2, 0, 3, 4, 3, 3, 4, 4, 1, 0, 1, 0, 1, 0, 1, 3, 2, 3, 4, 3, 4, 0, 4, 0, 3, 1, 1, 3, 1, 1, 4, 2, 3, 2, 2, 4, 0, 4, 2, 0, 2, 3, 4, 1, 0, 2, 3, 0, 4, 3, 3, 3, 4, 1, 1, 3, 3, 4, 4, 2, 1, 1, 2, 3, 0, 0, 2, 3, 3, 0, 1, 0, 2, 4, 2, 4, 1, 3, 0, 4, 1, 2, 2, 4, 3, 1, 2, 2, 4, 0, 1, 3, 3, 3, 0, 0, 3, 1, 3, 0, 4, 4, 2, 3, 0, 3, 0, 2, 0, 2, 2, 3, 1, 2, 0, 0, 3, 3, 3, 2, 0, 1, 3, 3, 2, 4, 3, 2, 1, 1, 0, 3, 4, 0, 4, 3, 0, 2, 4, 0, 2, 4, 1, 2, 2, 1, 3, 3, 3, 3, 0, 0, 0, 0, 2, 2, 4, 4, 2, 0, 0, 1, 2, 0, 0, 4, 1, 0, 0, 4, 3, 1, 3, 3, 3, 4, 2, 2, 1, 2, 2, 4, 2, 3, 1, 3, 1, 4, 0, 0, 4, 2, 3, 4, 0, 2, 4, 4, 3, 0, 4, 1, 4, 0, 2, 0, 2, 4, 2, 0, 4, 4, 1, 1, 1, 2, 4, 0, 0, 1, 4, 3, 2, 2, 1, 0, 3, 4]
pubkeycol1245 = [3, 2, 1, 1, 0, 1, 3, 2, 2, 4, 1, 4, 4, 4, 2, 4, 2, 3, 2, 1, 3, 2, 3, 3, 1, 1, 3, 4, 0, 4, 3, 1, 2, 0, 2, 2, 1, 0, 0, 3, 0, 0, 4, 1, 0, 1, 4, 3, 2, 0, 4, 0, 0, 4, 0, 0, 3, 1, 1, 3, 2, 0, 1, 4, 3, 3, 1, 1, 0, 4, 0, 2, 2, 0, 0, 2, 0, 0, 3, 3, 0, 0, 2, 3, 3, 4, 4, 4, 4, 1, 1, 3, 1, 3, 4, 4, 4, 0, 1, 4, 0, 4, 3, 1, 3, 2, 4, 3, 3, 2, 1, 2, 3, 4, 1, 1, 1, 0, 4, 4, 1, 4, 2, 2, 3, 4, 1, 1, 3, 3, 2, 1, 3, 3, 4, 4, 4, 4, 4, 1, 1, 3, 3, 3, 2, 1, 3, 2, 4, 4, 4, 3, 3, 0, 4, 3, 3, 3, 0, 0, 3, 4, 3, 2, 2, 1, 3, 4, 0, 0, 1, 1, 0, 3, 2, 0, 0, 3, 2, 3, 3, 3, 1, 4, 4, 1, 3, 1, 4, 0, 4, 1, 2, 2, 0, 2, 3, 1, 2, 3, 1, 2, 4, 3, 4, 2, 1, 0, 2, 4, 2, 4, 1, 3, 4, 2, 1, 4, 1, 3, 4, 4, 3, 0, 4, 2, 2, 0, 3, 4, 0, 2, 4, 2, 0, 1, 3, 3, 3, 4, 4, 3, 1, 1, 2, 1, 1, 0, 1, 4, 3, 0, 3, 3, 0, 2, 0, 0, 3, 2, 2, 1, 4, 0, 0, 1, 1, 1, 2, 2, 4, 1, 1, 2, 4, 4, 2, 4, 0, 0, 2, 4, 3, 1, 2, 3, 1, 3, 1, 1, 1, 4, 4, 4, 2, 0, 4, 2, 3, 3, 4, 1, 3, 2, 1, 2, 0, 2, 4, 4, 0, 1, 1, 3, 1, 3, 3, 4, 1, 0, 0, 4, 0, 1, 2, 4, 2, 3, 0, 3, 1, 3, 0, 0, 1, 0, 0, 2, 2, 4, 2, 3, 2, 1, 4, 1, 4, 0, 4, 1, 2, 2, 3, 4, 2, 2, 0, 4, 0, 3, 1, 4, 0, 2, 0, 2, 3, 3, 0, 4, 2, 0, 4, 2, 0, 3, 1, 1, 2, 4, 4, 1, 1, 4, 2, 0, 2, 2, 3, 3, 3, 2, 3, 2, 1, 2, 0, 1, 3, 3, 3, 2, 2, 0, 4, 4, 0, 3, 2, 4, 0, 3, 2, 1, 1, 0, 3, 1, 2, 2, 1, 1, 1, 0, 3, 4, 1, 3, 4, 2, 3, 2, 1, 4, 0, 0, 4, 3, 2, 4, 4, 2, 2, 0, 4, 2, 3, 0, 4, 2, 0, 4, 0, 2, 3, 2, 2, 3, 3, 3, 3, 0, 4, 4, 4, 4, 2, 1, 2, 3, 2, 0, 4, 4, 4, 0, 0, 4, 0, 0, 1, 3, 0, 0, 3, 1, 1, 4, 1, 0, 3, 0, 3, 0, 2, 0, 2, 4, 3, 0, 4, 1, 3, 0, 4]
pubkeycol1246 = [2, 0, 1, 3, 2, 0, 2, 4, 3, 4, 4, 4, 2, 1, 2, 2, 4, 0, 4, 4, 2, 1, 0, 3, 4, 1, 2, 2, 1, 0, 0, 2, 2, 1, 4, 0, 1, 0, 3, 4, 4, 0, 4, 3, 1, 1, 4, 3, 3, 2, 0, 4, 1, 3, 4, 0, 0, 3, 4, 4, 3, 4, 2, 1, 2, 3, 1, 4, 2, 0, 1, 2, 2, 1, 1, 3, 1, 3, 1, 3, 1, 1, 2, 2, 4, 1, 1, 4, 4, 1, 2, 2, 4, 1, 3, 4, 2, 4, 4, 1, 4, 1, 2, 4, 4, 1, 0, 1, 3, 1, 4, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 2, 2, 3, 0, 4, 2, 4, 2, 4, 1, 0, 1, 0, 1, 4, 3, 1, 4, 1, 2, 2, 3, 3, 1, 4, 2, 3, 3, 4, 1, 0, 3, 0, 2, 4, 2, 3, 3, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 3, 3, 1, 3, 1, 3, 0, 0, 2, 2, 0, 0, 0, 3, 0, 2, 4, 2, 4, 3, 1, 1, 2, 4, 2, 4, 3, 2, 1, 2, 2, 1, 1, 2, 3, 4, 1, 2, 2, 0, 2, 3, 0, 4, 0, 0, 0, 0, 0, 0, 3, 0, 3, 1, 0, 3, 1, 1, 2, 2, 3, 3, 0, 2, 3, 2, 3, 1, 3, 3, 3, 1, 4, 3, 0, 4, 3, 0, 0, 2, 0, 0, 3, 1, 4, 4, 2, 1, 2, 3, 4, 2, 3, 3, 4, 3, 0, 2, 3, 4, 4, 4, 1, 2, 3, 2, 3, 1, 0, 1, 2, 1, 0, 2, 3, 3, 0, 0, 2, 4, 1, 2, 4, 3, 2, 0, 2, 4, 4, 4, 0, 0, 0, 4, 2, 4, 3, 0, 0, 3, 4, 0, 1, 1, 2, 0, 4, 0, 1, 3, 2, 0, 3, 2, 3, 4, 3, 2, 2, 4, 4, 3, 4, 3, 4, 0, 0, 3, 2, 1, 2, 3, 1, 1, 1, 1, 3, 4, 1, 2, 2, 3, 0, 2, 2, 3, 4, 4, 0, 3, 0, 1, 3, 0, 0, 4, 3, 0, 2, 0, 1, 1, 4, 3, 1, 2, 0, 3, 4, 4, 4, 2, 2, 4, 4, 2, 1, 0, 1, 2, 2, 3, 0, 4, 1, 0, 1, 3, 2, 3, 4, 1, 1, 2, 2, 0, 3, 3, 1, 1, 1, 4, 0, 2, 0, 2, 0, 1, 0, 0, 0, 4, 1, 1, 4, 2, 3, 2, 0, 4, 1, 2, 3, 2, 1, 2, 0, 3, 3, 2, 2, 4, 0, 2, 0, 3, 1, 3, 1, 0, 1, 2, 0, 1, 2, 2, 4, 2, 0, 3, 0, 3, 2, 1, 1, 0, 3, 3, 4, 0, 0, 0, 0, 2, 3, 2, 0, 0, 2, 3, 2, 1, 4, 3, 0, 3, 4, 0, 0, 2, 1, 1, 0, 2, 2, 2, 4, 4, 3, 3, 2, 1, 2, 2, 1, 3]
pubkeycol1247 = [0, 2, 0, 3, 3, 4, 4, 0, 4, 2, 0, 1, 1, 3, 3, 1, 4, 3, 3, 1, 2, 3, 0, 2, 1, 0, 2, 4, 0, 0, 2, 3, 2, 3, 4, 1, 1, 4, 3, 3, 0, 0, 1, 0, 4, 3, 4, 3, 0, 3, 3, 0, 1, 0, 4, 3, 4, 4, 3, 1, 0, 1, 0, 1, 0, 2, 1, 3, 1, 0, 3, 2, 0, 2, 3, 3, 2, 1, 4, 4, 1, 2, 3, 4, 4, 2, 1, 3, 3, 3, 0, 2, 3, 3, 0, 2, 2, 2, 1, 4, 2, 2, 3, 2, 3, 0, 4, 1, 1, 2, 2, 4, 4, 0, 1, 3, 4, 2, 1, 0, 4, 4, 1, 0, 0, 3, 0, 0, 2, 4, 4, 4, 2, 2, 1, 4, 4, 3, 3, 0, 0, 3, 2, 0, 2, 1, 2, 3, 4, 1, 3, 4, 0, 1, 1, 3, 4, 4, 1, 2, 4, 1, 3, 2, 3, 0, 3, 0, 4, 0, 0, 4, 3, 2, 1, 1, 3, 0, 0, 2, 4, 0, 0, 2, 0, 2, 1, 3, 1, 0, 4, 0, 1, 4, 4, 1, 4, 4, 3, 1, 4, 0, 2, 2, 4, 3, 3, 1, 2, 2, 1, 1, 3, 4, 4, 2, 4, 3, 2, 1, 1, 3, 4, 1, 4, 0, 3, 3, 0, 4, 2, 0, 0, 0, 0, 1, 2, 3, 4, 3, 0, 3, 4, 2, 1, 1, 3, 0, 0, 4, 4, 3, 0, 0, 3, 4, 4, 0, 1, 4, 1, 1, 0, 4, 2, 2, 1, 2, 0, 1, 3, 2, 4, 4, 1, 0, 4, 0, 3, 2, 3, 2, 2, 2, 1, 2, 4, 3, 2, 2, 1, 2, 0, 2, 2, 4, 1, 2, 1, 4, 0, 3, 2, 3, 2, 0, 2, 4, 3, 3, 0, 4, 3, 4, 3, 3, 4, 3, 1, 3, 4, 2, 2, 1, 3, 2, 4, 2, 3, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 3, 0, 2, 4, 0, 0, 4, 1, 3, 3, 1, 1, 3, 2, 2, 4, 3, 2, 2, 1, 2, 3, 2, 0, 2, 1, 3, 1, 3, 1, 1, 4, 4, 0, 3, 0, 3, 0, 0, 4, 0, 4, 2, 3, 3, 3, 0, 4, 2, 4, 1, 1, 2, 0, 3, 4, 2, 4, 1, 3, 4, 0, 2, 4, 4, 1, 2, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 3, 0, 2, 1, 2, 4, 0, 0, 4, 0, 3, 1, 0, 1, 4, 4, 2, 3, 2, 3, 1, 3, 0, 4, 4, 3, 3, 1, 3, 3, 3, 0, 4, 1, 0, 1, 3, 1, 4, 0, 0, 1, 3, 4, 4, 1, 4, 2, 3, 0, 0, 4, 0, 0, 0, 3, 4, 2, 4, 2, 1, 0, 2, 0, 2, 3, 4, 0, 4, 4, 4, 0, 0, 1, 4, 2, 1, 0, 4, 3, 0, 2, 3, 0, 2, 4, 4, 1, 4]
pubkeycol1248 = [4, 3, 3, 3, 2, 1, 2, 1, 0, 2, 2, 3, 1, 4, 1, 0, 1, 2, 1, 4, 1, 3, 0, 4, 2, 2, 0, 3, 2, 3, 2, 1, 2, 0, 3, 0, 3, 3, 1, 4, 4, 3, 4, 2, 2, 1, 1, 2, 4, 0, 4, 4, 3, 2, 1, 4, 3, 4, 1, 4, 1, 4, 3, 4, 4, 3, 3, 1, 3, 3, 4, 4, 4, 4, 1, 1, 0, 3, 3, 3, 2, 3, 0, 4, 4, 3, 1, 3, 4, 0, 2, 2, 4, 1, 0, 0, 1, 2, 4, 4, 1, 1, 4, 2, 3, 3, 4, 0, 4, 2, 1, 0, 2, 0, 4, 4, 3, 3, 2, 4, 4, 1, 0, 3, 1, 4, 2, 0, 3, 1, 2, 3, 1, 1, 4, 1, 2, 4, 2, 3, 3, 0, 1, 4, 4, 3, 2, 1, 3, 0, 2, 0, 2, 4, 0, 0, 2, 3, 3, 3, 3, 4, 1, 3, 4, 3, 1, 0, 0, 2, 0, 4, 2, 4, 2, 4, 3, 1, 0, 1, 4, 2, 1, 4, 3, 0, 3, 1, 4, 4, 1, 3, 2, 3, 1, 3, 0, 3, 3, 1, 4, 4, 0, 2, 1, 4, 3, 4, 2, 4, 3, 0, 0, 0, 4, 0, 0, 0, 0, 2, 4, 0, 3, 3, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 3, 3, 2, 2, 4, 3, 4, 1, 3, 1, 4, 0, 2, 4, 1, 1, 1, 0, 4, 0, 0, 4, 4, 2, 0, 4, 4, 3, 4, 3, 4, 0, 0, 3, 1, 1, 3, 0, 2, 4, 3, 4, 0, 4, 1, 2, 0, 1, 2, 0, 0, 3, 3, 4, 0, 1, 3, 2, 1, 2, 4, 3, 2, 3, 3, 4, 4, 2, 0, 1, 2, 1, 3, 1, 1, 1, 4, 2, 4, 4, 3, 0, 0, 4, 3, 0, 3, 1, 0, 2, 4, 3, 1, 3, 1, 1, 1, 2, 4, 3, 0, 2, 4, 2, 4, 3, 2, 0, 0, 3, 2, 3, 3, 2, 2, 3, 3, 2, 4, 0, 4, 3, 3, 4, 0, 1, 4, 2, 3, 0, 0, 1, 2, 3, 2, 0, 0, 3, 1, 0, 3, 3, 0, 4, 0, 0, 3, 2, 3, 4, 3, 0, 1, 0, 0, 1, 4, 0, 3, 4, 2, 2, 0, 2, 4, 0, 1, 4, 3, 1, 0, 2, 3, 0, 2, 0, 0, 4, 2, 2, 0, 1, 3, 1, 0, 0, 4, 4, 1, 4, 3, 1, 3, 3, 4, 0, 0, 1, 3, 3, 2, 0, 2, 3, 2, 1, 4, 3, 4, 1, 1, 0, 2, 2, 3, 0, 2, 1, 2, 2, 2, 1, 0, 0, 4, 4, 4, 3, 1, 2, 4, 4, 0, 3, 4, 1, 1, 2, 3, 0, 3, 0, 4, 0, 3, 0, 3, 4, 2, 4, 4, 0, 2, 2, 1, 1, 4, 1, 2, 1, 4, 3, 0, 1, 2, 3, 3, 2, 2, 0]
pubkeycol1249 = [3, 2, 0, 2, 2, 0, 3, 3, 2, 3, 4, 0, 4, 3, 0, 4, 3, 4, 1, 4, 1, 0, 1, 1, 1, 4, 2, 1, 4, 3, 4, 1, 1, 4, 1, 4, 3, 1, 4, 2, 1, 0, 2, 4, 2, 0, 2, 3, 3, 4, 4, 1, 0, 3, 0, 2, 1, 4, 3, 2, 3, 0, 0, 2, 4, 2, 0, 4, 1, 1, 3, 2, 0, 0, 4, 2, 4, 0, 3, 1, 0, 0, 0, 2, 4, 1, 4, 1, 2, 1, 1, 1, 1, 3, 4, 1, 0, 0, 4, 3, 0, 2, 0, 3, 4, 3, 4, 3, 2, 3, 2, 3, 2, 3, 0, 4, 2, 2, 0, 0, 4, 1, 0, 3, 4, 4, 2, 1, 2, 1, 4, 4, 1, 0, 0, 1, 2, 0, 2, 4, 3, 0, 0, 2, 2, 3, 4, 0, 0, 1, 4, 4, 2, 2, 1, 4, 2, 3, 1, 2, 4, 3, 1, 4, 2, 4, 3, 1, 2, 2, 3, 0, 0, 2, 1, 0, 2, 3, 0, 3, 1, 0, 3, 1, 4, 2, 2, 3, 2, 0, 3, 1, 2, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 3, 3, 1, 2, 4, 3, 4, 4, 1, 2, 2, 4, 0, 4, 4, 4, 3, 3, 2, 0, 1, 4, 3, 1, 4, 2, 2, 4, 3, 1, 3, 3, 1, 1, 4, 3, 2, 3, 4, 1, 0, 0, 3, 1, 4, 1, 4, 2, 0, 2, 3, 0, 2, 4, 3, 4, 1, 2, 2, 3, 3, 4, 3, 4, 1, 0, 1, 3, 3, 1, 0, 0, 2, 0, 0, 4, 1, 0, 2, 0, 4, 3, 0, 4, 1, 4, 3, 4, 2, 2, 2, 1, 3, 4, 1, 1, 4, 2, 1, 1, 1, 2, 0, 4, 0, 3, 0, 0, 0, 0, 2, 3, 1, 1, 3, 3, 3, 4, 4, 0, 3, 4, 0, 3, 2, 4, 1, 2, 2, 1, 4, 0, 3, 0, 1, 2, 2, 4, 0, 1, 4, 4, 2, 2, 1, 3, 3, 1, 4, 3, 1, 4, 3, 3, 1, 1, 1, 3, 2, 3, 4, 0, 1, 4, 4, 3, 0, 3, 4, 4, 3, 3, 3, 1, 2, 0, 2, 4, 4, 2, 2, 4, 4, 1, 3, 2, 3, 0, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 0, 4, 0, 0, 2, 4, 2, 2, 1, 1, 0, 4, 1, 4, 4, 4, 3, 4, 3, 0, 4, 0, 4, 4, 2, 3, 1, 2, 0, 1, 4, 0, 1, 3, 0, 2, 3, 3, 1, 1, 4, 2, 3, 3, 0, 2, 4, 1, 2, 2, 0, 0, 1, 2, 0, 3, 3, 4, 1, 4, 2, 4, 4, 2, 3, 1, 1, 1, 0, 1, 1, 2, 2, 3, 4, 3, 0, 3, 1, 1, 3, 3, 4, 0, 0, 1, 3, 3, 2, 4, 1, 1, 2, 2, 0, 3, 4, 2, 1, 4, 2, 4, 4, 1]
pubkeycol1250 = [1, 3, 0, 4, 3, 4, 3, 2, 3, 3, 1, 1, 3, 3, 4, 4, 3, 4, 4, 1, 4, 3, 0, 3, 4, 4, 0, 0, 2, 3, 4, 0, 3, 2, 2, 4, 4, 2, 0, 2, 0, 2, 1, 1, 3, 2, 1, 4, 3, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 4, 2, 3, 0, 2, 0, 3, 1, 3, 0, 2, 3, 1, 4, 3, 2, 3, 2, 3, 4, 0, 2, 2, 0, 3, 4, 0, 4, 4, 0, 0, 4, 3, 0, 4, 3, 4, 1, 4, 3, 4, 3, 1, 2, 4, 3, 4, 2, 2, 2, 4, 1, 4, 4, 0, 2, 2, 2, 4, 1, 2, 0, 3, 0, 0, 4, 3, 2, 4, 3, 4, 0, 2, 3, 1, 4, 0, 2, 4, 2, 2, 4, 1, 3, 4, 4, 2, 4, 3, 1, 4, 0, 2, 4, 4, 2, 2, 2, 0, 1, 2, 2, 3, 3, 1, 2, 3, 4, 1, 4, 0, 1, 0, 1, 0, 3, 0, 0, 3, 1, 0, 2, 1, 4, 2, 4, 2, 1, 0, 0, 0, 4, 4, 0, 1, 0, 3, 4, 0, 3, 0, 1, 3, 3, 0, 0, 4, 0, 2, 4, 2, 0, 4, 0, 1, 0, 1, 2, 4, 4, 1, 1, 4, 4, 0, 4, 4, 3, 2, 4, 4, 1, 4, 4, 1, 3, 1, 1, 1, 0, 4, 2, 1, 1, 0, 3, 2, 4, 2, 3, 0, 2, 1, 4, 0, 1, 0, 1, 3, 4, 4, 4, 1, 1, 3, 2, 0, 3, 2, 2, 4, 0, 2, 0, 3, 1, 0, 1, 2, 4, 0, 3, 2, 1, 1, 0, 2, 2, 3, 2, 0, 0, 4, 1, 4, 2, 4, 3, 2, 2, 1, 1, 3, 0, 0, 3, 2, 4, 4, 4, 2, 2, 2, 1, 1, 2, 0, 1, 3, 4, 3, 3, 2, 1, 4, 1, 3, 3, 3, 0, 0, 0, 3, 1, 0, 0, 0, 0, 4, 4, 1, 4, 2, 1, 0, 3, 3, 1, 1, 4, 4, 0, 1, 2, 2, 1, 4, 2, 3, 3, 4, 4, 0, 3, 2, 1, 0, 1, 3, 3, 0, 0, 1, 4, 3, 2, 2, 1, 2, 3, 1, 3, 1, 4, 4, 4, 1, 3, 3, 3, 2, 1, 4, 2, 3, 1, 1, 3, 4, 0, 3, 0, 1, 0, 4, 1, 0, 2, 4, 2, 4, 2, 2, 1, 0, 4, 0, 1, 1, 1, 1, 3, 1, 1, 3, 1, 2, 1, 4, 3, 1, 1, 4, 4, 1, 0, 2, 2, 3, 3, 3, 2, 4, 1, 1, 0, 4, 1, 1, 0, 1, 3, 2, 2, 1, 2, 3, 3, 2, 1, 3, 4, 0, 3, 1, 2, 0, 0, 3, 2, 4, 2, 0, 2, 0, 3, 4, 2, 1, 0, 1, 2, 0, 3, 1, 3, 3, 4, 2, 2, 4, 4, 4, 4, 0, 1, 2, 0, 0, 3, 4, 1, 3, 2, 4, 1]
pubkeycol1251 = [3, 3, 3, 0, 3, 2, 2, 1, 1, 4, 0, 0, 4, 4, 4, 4, 2, 0, 4, 4, 3, 3, 4, 2, 0, 3, 3, 2, 0, 0, 2, 1, 2, 0, 1, 3, 0, 1, 1, 3, 1, 1, 1, 0, 0, 0, 3, 2, 3, 4, 0, 1, 3, 0, 1, 4, 0, 4, 2, 2, 4, 0, 0, 3, 1, 0, 4, 4, 2, 2, 2, 2, 4, 1, 2, 2, 0, 4, 4, 0, 4, 0, 3, 2, 4, 0, 3, 2, 1, 4, 3, 1, 0, 2, 3, 0, 4, 2, 1, 1, 1, 2, 3, 2, 4, 0, 4, 3, 2, 4, 0, 3, 4, 1, 2, 2, 1, 3, 3, 0, 1, 3, 0, 0, 3, 4, 0, 4, 3, 2, 2, 3, 1, 2, 1, 4, 1, 4, 4, 1, 3, 3, 1, 4, 4, 3, 3, 3, 0, 0, 4, 4, 3, 3, 2, 3, 0, 0, 1, 3, 1, 3, 2, 4, 4, 1, 3, 0, 4, 3, 0, 4, 3, 4, 3, 3, 3, 1, 4, 1, 1, 2, 1, 0, 2, 2, 4, 1, 4, 1, 4, 4, 0, 3, 3, 1, 1, 0, 2, 1, 2, 4, 2, 3, 1, 0, 4, 4, 0, 0, 3, 1, 3, 0, 3, 2, 4, 0, 3, 4, 0, 1, 0, 0, 2, 3, 2, 4, 2, 0, 4, 1, 0, 3, 0, 2, 0, 3, 0, 0, 2, 3, 1, 0, 4, 4, 4, 0, 3, 0, 4, 2, 4, 0, 2, 0, 1, 3, 0, 2, 0, 0, 4, 1, 2, 3, 0, 1, 4, 3, 0, 3, 2, 4, 2, 1, 2, 2, 4, 3, 0, 1, 2, 0, 0, 2, 3, 4, 1, 0, 2, 2, 1, 0, 0, 3, 1, 0, 4, 4, 0, 4, 0, 0, 1, 0, 4, 4, 4, 0, 2, 4, 4, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 3, 4, 1, 2, 3, 4, 3, 1, 2, 3, 1, 2, 0, 0, 4, 4, 0, 0, 3, 0, 3, 1, 3, 3, 3, 0, 3, 2, 0, 0, 1, 3, 2, 4, 4, 3, 2, 0, 4, 3, 1, 0, 1, 3, 1, 0, 2, 4, 1, 1, 0, 2, 2, 4, 1, 4, 0, 2, 2, 0, 2, 3, 4, 0, 1, 4, 1, 0, 3, 0, 4, 2, 4, 4, 0, 4, 4, 4, 1, 4, 2, 1, 2, 4, 0, 3, 4, 1, 2, 4, 4, 4, 4, 0, 4, 1, 2, 1, 0, 0, 0, 3, 3, 0, 2, 1, 0, 2, 2, 1, 4, 2, 1, 0, 4, 0, 3, 1, 2, 1, 4, 1, 1, 2, 3, 2, 4, 1, 3, 4, 2, 3, 3, 1, 4, 2, 1, 3, 2, 2, 0, 1, 1, 0, 4, 2, 0, 4, 2, 2, 1, 2, 4, 2, 1, 0, 0, 1, 3, 1, 2, 4, 4, 2, 0, 4, 1, 2, 4, 3, 0, 4, 4, 3, 4, 1, 1, 3, 3, 4, 1, 3]
pubkeycol1252 = [4, 2, 1, 0, 4, 1, 2, 3, 0, 3, 4, 0, 1, 2, 1, 0, 3, 2, 2, 4, 1, 4, 4, 3, 2, 4, 0, 2, 1, 0, 1, 0, 1, 1, 4, 4, 3, 4, 1, 3, 1, 3, 4, 0, 3, 0, 2, 1, 4, 2, 1, 3, 0, 0, 4, 2, 4, 1, 1, 1, 1, 2, 0, 3, 0, 0, 1, 1, 3, 2, 4, 4, 4, 4, 2, 1, 2, 4, 3, 4, 4, 3, 0, 3, 1, 0, 4, 1, 2, 0, 1, 0, 4, 2, 2, 0, 0, 3, 2, 4, 2, 1, 3, 2, 0, 0, 0, 0, 0, 4, 1, 4, 3, 0, 4, 3, 3, 3, 3, 1, 3, 0, 4, 2, 3, 2, 3, 1, 1, 0, 1, 2, 0, 4, 0, 2, 2, 4, 2, 3, 0, 1, 0, 2, 4, 4, 0, 4, 4, 4, 0, 2, 3, 3, 4, 3, 0, 4, 0, 0, 1, 4, 1, 4, 0, 1, 1, 4, 0, 4, 3, 1, 2, 3, 2, 0, 4, 1, 2, 3, 1, 0, 1, 2, 3, 1, 2, 0, 4, 4, 1, 4, 1, 1, 4, 1, 2, 0, 2, 4, 2, 3, 1, 1, 0, 2, 1, 3, 2, 4, 3, 3, 2, 2, 3, 2, 3, 0, 3, 4, 1, 2, 0, 1, 2, 0, 3, 0, 1, 0, 0, 0, 0, 2, 0, 4, 1, 3, 4, 1, 4, 1, 3, 2, 3, 2, 0, 2, 4, 4, 4, 3, 0, 0, 3, 2, 1, 4, 4, 1, 2, 2, 3, 4, 0, 3, 1, 0, 1, 1, 0, 4, 1, 1, 0, 1, 3, 1, 1, 3, 3, 3, 2, 0, 3, 4, 1, 0, 1, 1, 3, 3, 2, 3, 3, 0, 3, 3, 4, 0, 3, 0, 1, 3, 3, 2, 4, 2, 4, 2, 0, 0, 1, 2, 4, 1, 4, 0, 4, 4, 2, 4, 3, 0, 1, 2, 3, 0, 4, 1, 2, 0, 1, 3, 1, 2, 1, 4, 3, 3, 1, 3, 3, 3, 0, 2, 2, 4, 2, 3, 2, 2, 1, 2, 0, 0, 3, 4, 2, 0, 2, 2, 0, 2, 3, 1, 0, 1, 4, 1, 1, 3, 0, 0, 3, 4, 4, 0, 0, 4, 0, 1, 1, 3, 2, 3, 1, 3, 4, 0, 2, 2, 2, 1, 3, 2, 1, 2, 0, 2, 2, 1, 4, 0, 2, 0, 2, 4, 0, 4, 4, 3, 1, 4, 1, 0, 1, 2, 4, 3, 4, 4, 2, 2, 2, 3, 0, 3, 0, 0, 1, 0, 2, 3, 0, 0, 0, 4, 0, 2, 2, 0, 3, 1, 1, 1, 2, 1, 1, 2, 0, 3, 1, 4, 1, 1, 1, 1, 0, 4, 3, 1, 0, 3, 3, 2, 4, 4, 4, 0, 3, 2, 4, 3, 1, 1, 2, 3, 3, 2, 3, 0, 0, 1, 4, 0, 2, 1, 4, 3, 4, 2, 4, 4, 2, 4, 1, 3, 0, 2, 1, 4, 1, 2, 4]
pubkeycol1253 = [0, 4, 3, 0, 0, 4, 2, 2, 1, 4, 4, 1, 0, 4, 2, 4, 2, 3, 2, 4, 1, 3, 2, 0, 3, 4, 4, 4, 1, 0, 2, 4, 2, 4, 3, 1, 3, 2, 0, 1, 4, 0, 3, 2, 4, 0, 2, 1, 3, 1, 1, 0, 0, 3, 4, 2, 4, 3, 3, 3, 2, 3, 0, 2, 4, 3, 3, 1, 3, 0, 3, 2, 1, 0, 3, 1, 4, 3, 4, 0, 1, 1, 3, 2, 1, 2, 3, 3, 0, 2, 4, 3, 4, 1, 4, 3, 3, 3, 2, 4, 1, 2, 2, 1, 0, 4, 3, 4, 0, 3, 4, 4, 4, 1, 3, 4, 1, 4, 0, 3, 0, 4, 2, 2, 0, 2, 4, 3, 2, 3, 4, 3, 3, 1, 0, 2, 1, 0, 4, 3, 0, 4, 3, 4, 0, 0, 1, 4, 0, 2, 1, 3, 3, 3, 2, 3, 2, 4, 4, 4, 3, 1, 3, 1, 2, 1, 4, 1, 3, 3, 0, 3, 3, 2, 1, 2, 0, 3, 1, 0, 4, 0, 0, 4, 0, 3, 0, 1, 1, 3, 1, 0, 3, 4, 2, 3, 2, 4, 1, 0, 0, 0, 4, 3, 1, 3, 3, 3, 3, 0, 1, 3, 1, 4, 4, 3, 1, 4, 1, 1, 1, 3, 3, 4, 3, 1, 1, 3, 0, 0, 2, 3, 1, 2, 1, 0, 3, 0, 2, 0, 3, 0, 2, 4, 2, 3, 1, 4, 3, 2, 3, 4, 3, 1, 2, 1, 4, 3, 1, 4, 3, 2, 3, 0, 0, 3, 1, 3, 2, 1, 3, 3, 4, 3, 0, 2, 0, 0, 1, 1, 0, 3, 1, 1, 3, 1, 3, 3, 4, 3, 0, 0, 4, 0, 4, 1, 0, 3, 4, 3, 1, 3, 4, 4, 2, 2, 3, 2, 1, 3, 2, 0, 3, 0, 3, 3, 3, 0, 0, 2, 3, 0, 4, 0, 1, 0, 3, 2, 1, 3, 0, 2, 3, 0, 2, 0, 1, 4, 0, 2, 2, 2, 4, 4, 2, 2, 4, 2, 4, 2, 3, 1, 3, 3, 2, 0, 0, 1, 2, 3, 1, 3, 3, 2, 2, 1, 0, 4, 4, 2, 1, 3, 0, 1, 4, 1, 2, 4, 2, 3, 2, 3, 2, 4, 2, 3, 0, 1, 3, 0, 3, 1, 0, 4, 2, 4, 1, 3, 3, 0, 0, 2, 2, 4, 3, 1, 4, 4, 3, 1, 2, 4, 0, 4, 4, 1, 4, 1, 1, 2, 0, 0, 2, 1, 4, 2, 0, 1, 3, 1, 0, 3, 1, 0, 4, 1, 2, 3, 4, 1, 0, 0, 4, 3, 3, 2, 3, 4, 4, 1, 4, 0, 2, 2, 4, 1, 4, 4, 0, 2, 0, 4, 3, 0, 2, 2, 0, 1, 1, 2, 3, 1, 4, 3, 3, 1, 0, 4, 0, 3, 3, 0, 0, 0, 0, 1, 2, 4, 0, 2, 0, 2, 0, 0, 1, 2, 1, 3, 4, 3, 2, 0, 3, 2, 1]
pubkeycol1254 = [1, 0, 1, 0, 2, 3, 4, 1, 0, 4, 3, 4, 3, 3, 2, 0, 3, 1, 1, 2, 2, 1, 0, 0, 1, 4, 3, 4, 0, 4, 2, 3, 2, 4, 1, 0, 1, 2, 4, 4, 2, 2, 2, 2, 4, 0, 4, 0, 1, 0, 3, 1, 0, 4, 0, 0, 1, 2, 1, 0, 2, 3, 2, 0, 3, 1, 3, 4, 3, 3, 3, 4, 2, 1, 1, 1, 4, 0, 0, 1, 4, 3, 3, 2, 2, 1, 2, 4, 4, 2, 1, 3, 4, 3, 4, 0, 3, 2, 4, 0, 1, 3, 0, 1, 2, 4, 2, 4, 3, 1, 2, 2, 0, 2, 4, 2, 2, 2, 0, 0, 4, 4, 0, 0, 3, 4, 4, 2, 4, 2, 2, 3, 2, 0, 4, 0, 4, 4, 2, 0, 4, 3, 3, 4, 2, 3, 0, 0, 3, 0, 0, 4, 3, 0, 2, 3, 2, 4, 0, 3, 4, 0, 4, 1, 4, 3, 4, 4, 3, 0, 0, 4, 0, 1, 3, 1, 1, 4, 4, 3, 1, 2, 4, 2, 4, 3, 2, 1, 4, 4, 3, 0, 0, 0, 2, 3, 3, 4, 4, 0, 1, 4, 2, 3, 1, 4, 0, 0, 4, 2, 3, 2, 2, 3, 4, 3, 4, 3, 0, 0, 2, 3, 2, 2, 2, 4, 1, 3, 0, 4, 3, 0, 0, 4, 1, 1, 4, 1, 2, 4, 2, 4, 3, 0, 0, 0, 4, 1, 1, 3, 2, 2, 1, 2, 0, 0, 3, 3, 4, 3, 1, 4, 2, 1, 0, 1, 2, 3, 4, 3, 2, 0, 0, 1, 4, 2, 0, 2, 3, 2, 2, 2, 0, 2, 1, 4, 1, 1, 0, 4, 4, 1, 0, 1, 0, 0, 3, 4, 2, 0, 2, 4, 4, 1, 2, 4, 2, 3, 1, 0, 1, 2, 1, 2, 3, 3, 2, 0, 1, 0, 4, 3, 0, 3, 1, 3, 0, 2, 0, 4, 2, 3, 4, 2, 2, 2, 1, 0, 3, 3, 4, 2, 2, 3, 3, 0, 1, 2, 0, 0, 4, 3, 1, 2, 2, 2, 1, 0, 0, 0, 0, 3, 3, 0, 0, 2, 3, 2, 4, 3, 2, 3, 3, 3, 3, 1, 4, 2, 0, 2, 2, 0, 0, 0, 3, 3, 1, 2, 0, 2, 1, 1, 4, 4, 0, 0, 4, 2, 3, 1, 4, 2, 3, 1, 3, 2, 3, 4, 3, 2, 3, 1, 0, 3, 1, 0, 3, 4, 2, 3, 2, 4, 4, 4, 4, 4, 0, 3, 1, 1, 4, 2, 4, 1, 3, 0, 3, 2, 4, 4, 4, 0, 1, 3, 3, 3, 3, 0, 3, 4, 3, 3, 2, 4, 4, 3, 3, 2, 3, 3, 0, 0, 2, 1, 2, 4, 3, 1, 2, 1, 0, 1, 4, 2, 4, 0, 3, 1, 2, 1, 3, 2, 1, 2, 0, 0, 3, 2, 3, 3, 3, 0, 2, 1, 4, 2, 1, 3, 1, 4, 0, 1, 0, 1, 4]
pubkeycol1255 = [0, 3, 4, 1, 0, 2, 4, 2, 4, 2, 2, 4, 2, 4, 3, 2, 3, 4, 2, 2, 0, 4, 1, 4, 1, 2, 2, 4, 4, 4, 2, 1, 0, 4, 0, 2, 1, 3, 4, 2, 0, 3, 3, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 4, 1, 4, 4, 0, 1, 2, 0, 2, 1, 0, 1, 4, 0, 3, 0, 4, 4, 3, 3, 1, 3, 2, 0, 3, 2, 4, 4, 1, 2, 4, 0, 4, 0, 2, 3, 0, 4, 3, 0, 3, 2, 1, 0, 0, 0, 3, 4, 4, 1, 1, 0, 0, 1, 3, 4, 4, 2, 0, 4, 3, 0, 3, 0, 0, 2, 3, 3, 0, 1, 2, 4, 1, 1, 0, 0, 0, 1, 0, 3, 2, 3, 3, 3, 4, 1, 0, 4, 2, 4, 1, 1, 1, 0, 1, 1, 0, 3, 4, 0, 1, 4, 4, 1, 1, 2, 4, 2, 0, 3, 1, 4, 3, 4, 3, 0, 0, 1, 3, 2, 3, 4, 2, 2, 3, 3, 4, 1, 0, 0, 3, 2, 2, 1, 1, 3, 4, 3, 4, 0, 0, 4, 1, 1, 4, 0, 2, 1, 2, 3, 1, 3, 0, 2, 2, 4, 2, 4, 1, 1, 1, 2, 3, 1, 4, 3, 4, 3, 0, 0, 1, 4, 4, 3, 4, 2, 2, 2, 2, 2, 0, 4, 3, 3, 3, 0, 3, 3, 4, 1, 0, 0, 4, 1, 4, 3, 1, 4, 4, 4, 3, 3, 3, 0, 3, 2, 1, 0, 4, 4, 2, 2, 0, 0, 2, 4, 2, 3, 0, 3, 4, 0, 0, 2, 1, 1, 3, 1, 3, 0, 3, 3, 1, 0, 4, 1, 1, 4, 2, 1, 3, 4, 4, 2, 0, 2, 3, 3, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 4, 1, 3, 0, 0, 0, 0, 3, 1, 3, 1, 2, 3, 2, 4, 0, 0, 2, 0, 2, 1, 3, 4, 3, 2, 3, 1, 4, 1, 4, 1, 1, 4, 2, 4, 2, 0, 1, 0, 1, 4, 1, 0, 1, 3, 0, 0, 2, 2, 3, 0, 3, 3, 0, 2, 1, 4, 2, 0, 1, 3, 0, 0, 4, 3, 4, 2, 0, 3, 1, 3, 0, 0, 0, 3, 4, 2, 0, 3, 3, 0, 0, 2, 1, 0, 3, 4, 2, 1, 0, 1, 2, 2, 3, 1, 1, 2, 4, 1, 2, 2, 0, 1, 0, 1, 3, 1, 3, 0, 2, 1, 0, 4, 0, 3, 2, 4, 4, 1, 2, 2, 4, 3, 3, 4, 1, 0, 4, 2, 0, 1, 0, 4, 1, 2, 4, 2, 3, 3, 1, 2, 2, 2, 4, 1, 0, 0, 1, 1, 3, 2, 3, 4, 1, 4, 2, 0, 1, 1, 3, 2, 2, 2, 1, 1, 4, 2, 4, 4, 2, 1, 3, 0, 0, 2, 2, 2, 3, 3, 1, 3, 1, 1, 0, 3, 2]
pubkeycol1256 = [1, 1, 4, 0, 4, 2, 3, 1, 2, 4, 0, 3, 0, 3, 0, 0, 3, 1, 4, 3, 2, 1, 1, 3, 0, 2, 0, 1, 2, 4, 1, 4, 3, 1, 1, 0, 0, 3, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 3, 0, 1, 3, 1, 4, 4, 4, 3, 1, 2, 1, 0, 0, 4, 1, 3, 0, 1, 3, 1, 2, 2, 3, 0, 1, 2, 3, 2, 3, 3, 2, 0, 1, 4, 0, 1, 1, 3, 0, 2, 2, 3, 4, 0, 0, 4, 0, 1, 2, 1, 3, 3, 0, 0, 3, 2, 1, 3, 1, 1, 0, 3, 2, 2, 4, 4, 1, 1, 3, 2, 3, 4, 1, 2, 4, 4, 1, 0, 4, 1, 1, 4, 2, 4, 0, 3, 2, 4, 0, 3, 2, 0, 1, 1, 0, 4, 1, 2, 0, 4, 0, 3, 3, 1, 1, 0, 1, 2, 3, 0, 2, 0, 1, 4, 2, 4, 3, 3, 0, 4, 2, 2, 2, 4, 1, 3, 2, 0, 3, 1, 2, 4, 4, 2, 1, 4, 0, 4, 0, 2, 3, 1, 3, 1, 2, 1, 3, 2, 1, 1, 4, 2, 3, 2, 3, 4, 3, 0, 3, 3, 1, 1, 4, 4, 3, 1, 0, 1, 3, 3, 2, 2, 0, 2, 4, 0, 1, 4, 1, 2, 0, 4, 0, 2, 2, 1, 1, 4, 4, 0, 2, 0, 0, 1, 3, 0, 4, 0, 0, 0, 4, 0, 3, 3, 0, 1, 3, 3, 0, 2, 4, 1, 1, 4, 3, 4, 1, 1, 4, 0, 1, 4, 4, 1, 3, 3, 4, 3, 3, 1, 2, 0, 2, 2, 3, 3, 1, 4, 4, 4, 0, 3, 0, 2, 2, 1, 3, 1, 3, 3, 3, 4, 3, 4, 2, 4, 1, 4, 0, 2, 4, 1, 3, 0, 4, 3, 4, 1, 0, 3, 2, 1, 4, 0, 3, 1, 3, 0, 3, 3, 3, 2, 0, 0, 3, 0, 0, 4, 0, 3, 4, 0, 3, 4, 1, 3, 4, 1, 3, 4, 3, 2, 4, 1, 2, 0, 0, 3, 2, 4, 4, 4, 0, 2, 1, 2, 2, 0, 1, 0, 0, 4, 2, 4, 4, 4, 4, 1, 1, 2, 1, 3, 0, 0, 2, 1, 3, 0, 1, 4, 2, 2, 1, 0, 4, 2, 0, 4, 3, 2, 2, 3, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 4, 3, 2, 2, 1, 4, 4, 0, 1, 0, 4, 4, 2, 1, 1, 1, 3, 0, 3, 3, 3, 2, 2, 4, 1, 4, 2, 4, 2, 0, 0, 1, 0, 3, 0, 0, 4, 0, 4, 4, 3, 1, 0, 2, 4, 1, 1, 2, 1, 4, 3, 1, 4, 3, 2, 2, 1, 0, 4, 3, 1, 0, 4, 2, 0, 3, 0, 1, 2, 3, 3, 1, 2, 3, 2, 4, 1, 3, 3, 1, 4, 3, 1, 0, 2, 3, 2, 3, 4, 2]
pubkeycol1257 = [3, 4, 0, 1, 0, 0, 4, 1, 0, 2, 0, 3, 2, 0, 2, 3, 3, 4, 3, 1, 2, 4, 2, 4, 3, 1, 4, 0, 1, 0, 1, 2, 3, 3, 0, 2, 1, 3, 4, 3, 1, 3, 2, 0, 1, 0, 2, 3, 0, 2, 0, 1, 4, 2, 4, 3, 1, 3, 0, 3, 2, 3, 1, 3, 0, 1, 1, 4, 2, 3, 3, 3, 3, 1, 2, 4, 3, 3, 1, 3, 0, 0, 4, 3, 3, 4, 3, 0, 4, 0, 2, 4, 2, 0, 1, 4, 0, 3, 2, 4, 0, 0, 0, 0, 2, 3, 4, 4, 4, 1, 3, 4, 4, 2, 4, 3, 0, 0, 2, 0, 2, 4, 4, 2, 4, 1, 1, 0, 4, 3, 3, 1, 3, 4, 0, 0, 1, 2, 4, 3, 0, 0, 0, 3, 4, 1, 3, 0, 4, 4, 0, 2, 2, 0, 4, 4, 2, 3, 0, 1, 4, 4, 3, 2, 4, 1, 3, 0, 3, 1, 2, 1, 3, 3, 1, 0, 1, 3, 0, 1, 2, 3, 3, 2, 4, 0, 1, 2, 2, 3, 2, 0, 2, 4, 3, 4, 1, 3, 1, 4, 1, 1, 3, 3, 4, 4, 4, 0, 4, 1, 1, 4, 1, 2, 0, 3, 0, 0, 3, 4, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 3, 2, 2, 4, 2, 2, 3, 3, 4, 2, 3, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 3, 1, 3, 4, 0, 1, 4, 3, 1, 3, 1, 4, 2, 1, 4, 0, 4, 0, 4, 1, 0, 3, 2, 3, 0, 1, 3, 0, 0, 4, 4, 3, 1, 3, 2, 2, 2, 2, 2, 4, 2, 0, 1, 2, 3, 3, 3, 3, 4, 1, 4, 3, 4, 1, 0, 2, 3, 1, 2, 2, 0, 0, 4, 3, 2, 3, 0, 4, 0, 2, 1, 2, 4, 1, 0, 1, 1, 2, 0, 2, 3, 4, 1, 1, 3, 4, 4, 3, 0, 2, 4, 0, 1, 1, 0, 3, 3, 3, 1, 1, 1, 3, 0, 3, 3, 0, 0, 0, 2, 3, 4, 2, 0, 2, 2, 0, 0, 1, 3, 0, 1, 1, 0, 3, 2, 2, 0, 3, 1, 1, 3, 2, 4, 1, 4, 1, 3, 2, 0, 1, 4, 1, 1, 4, 3, 1, 0, 4, 2, 1, 1, 2, 4, 3, 1, 2, 0, 4, 2, 2, 2, 2, 1, 2, 2, 0, 1, 3, 4, 3, 1, 3, 0, 2, 1, 4, 1, 4, 0, 2, 2, 4, 2, 2, 1, 4, 2, 3, 1, 0, 3, 1, 4, 2, 3, 2, 4, 0, 3, 4, 2, 1, 1, 1, 3, 4, 3, 0, 2, 1, 3, 0, 4, 4, 3, 1, 1, 1, 0, 3, 1, 3, 1, 1, 2, 2, 0, 0, 1, 3, 3, 2, 3, 1, 1, 0, 4, 0, 3, 3]
pubkeycol1258 = [0, 1, 4, 4, 1, 2, 1, 2, 0, 4, 3, 0, 3, 2, 4, 4, 3, 2, 3, 0, 4, 3, 1, 3, 3, 3, 4, 4, 2, 4, 3, 3, 1, 0, 3, 2, 3, 3, 4, 1, 2, 4, 2, 3, 2, 4, 2, 2, 2, 0, 0, 1, 3, 4, 4, 3, 3, 4, 1, 4, 3, 4, 3, 2, 4, 2, 4, 0, 1, 4, 4, 2, 3, 0, 0, 1, 4, 3, 4, 1, 2, 3, 0, 4, 2, 2, 0, 0, 1, 4, 0, 3, 2, 3, 0, 2, 4, 2, 0, 0, 4, 3, 4, 1, 2, 3, 4, 3, 3, 4, 0, 4, 1, 3, 3, 1, 2, 0, 4, 3, 4, 1, 1, 1, 0, 4, 0, 4, 2, 0, 4, 3, 3, 2, 0, 3, 4, 1, 4, 2, 3, 4, 0, 1, 0, 2, 3, 0, 1, 2, 3, 2, 2, 4, 3, 0, 0, 0, 4, 2, 2, 1, 3, 3, 1, 3, 2, 3, 0, 0, 1, 4, 3, 4, 0, 0, 3, 4, 0, 3, 1, 1, 4, 2, 0, 4, 3, 1, 3, 2, 4, 1, 0, 3, 1, 4, 4, 3, 4, 1, 0, 0, 2, 2, 4, 0, 3, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 4, 0, 3, 1, 0, 1, 3, 0, 0, 3, 4, 3, 0, 1, 1, 0, 1, 1, 3, 0, 4, 1, 0, 2, 2, 4, 0, 2, 4, 4, 3, 3, 2, 1, 4, 0, 2, 4, 4, 0, 3, 3, 4, 3, 1, 2, 1, 2, 1, 2, 4, 2, 4, 0, 4, 1, 3, 0, 0, 1, 4, 0, 4, 4, 2, 0, 1, 3, 3, 0, 0, 3, 2, 4, 4, 4, 4, 2, 2, 1, 4, 3, 4, 0, 3, 4, 3, 0, 3, 4, 4, 2, 2, 2, 2, 0, 2, 3, 2, 2, 2, 4, 3, 4, 3, 3, 0, 4, 2, 2, 4, 0, 4, 2, 1, 2, 2, 2, 4, 4, 3, 2, 1, 0, 3, 3, 3, 3, 2, 4, 1, 1, 1, 0, 4, 4, 4, 0, 1, 0, 3, 2, 4, 0, 0, 0, 0, 1, 3, 4, 1, 3, 4, 0, 1, 0, 2, 2, 4, 1, 2, 0, 2, 4, 3, 4, 1, 0, 2, 1, 1, 1, 3, 1, 3, 1, 1, 3, 1, 0, 0, 1, 3, 0, 3, 3, 3, 1, 1, 4, 3, 1, 3, 2, 0, 2, 3, 1, 1, 0, 4, 4, 1, 0, 2, 1, 0, 3, 2, 2, 1, 4, 0, 2, 2, 3, 4, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 3, 1, 3, 0, 1, 0, 2, 4, 1, 0, 0, 3, 2, 3, 3, 0, 2, 2, 0, 1, 0, 3, 0, 3, 0, 0, 4, 3, 2, 0, 0, 2, 1, 0, 1, 0, 4, 2, 2, 2, 4, 1, 1, 4, 4, 1, 1, 2, 2, 1, 0, 2, 3, 3, 2, 3, 2]
pubkeycol1259 = [0, 2, 3, 2, 2, 2, 1, 2, 1, 0, 0, 4, 4, 2, 1, 4, 2, 4, 1, 3, 3, 0, 0, 1, 2, 2, 2, 4, 3, 3, 1, 4, 3, 2, 3, 2, 1, 2, 0, 0, 0, 1, 4, 2, 2, 1, 4, 1, 4, 1, 0, 4, 2, 3, 2, 4, 0, 0, 0, 4, 1, 4, 2, 3, 0, 3, 3, 2, 2, 0, 4, 4, 3, 4, 3, 3, 2, 2, 3, 3, 0, 1, 2, 2, 3, 2, 1, 0, 4, 0, 2, 4, 4, 1, 3, 1, 2, 0, 2, 0, 0, 3, 1, 1, 1, 2, 0, 1, 3, 2, 1, 4, 2, 3, 1, 4, 2, 1, 0, 1, 4, 0, 4, 2, 2, 0, 1, 2, 3, 2, 4, 3, 1, 3, 0, 2, 0, 3, 0, 2, 3, 2, 4, 4, 1, 1, 1, 0, 1, 1, 2, 1, 3, 3, 4, 4, 0, 4, 0, 0, 2, 0, 0, 1, 2, 4, 1, 0, 2, 2, 4, 2, 4, 3, 2, 3, 1, 2, 4, 2, 3, 1, 4, 4, 3, 0, 1, 2, 1, 3, 4, 0, 3, 0, 2, 1, 0, 3, 3, 1, 1, 2, 1, 4, 0, 4, 3, 3, 4, 4, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 3, 2, 2, 2, 1, 3, 1, 0, 1, 3, 4, 4, 3, 1, 2, 0, 4, 3, 2, 3, 1, 4, 2, 1, 0, 0, 0, 4, 4, 2, 3, 2, 1, 1, 3, 1, 1, 2, 0, 4, 0, 0, 1, 3, 1, 2, 0, 4, 2, 4, 4, 1, 0, 0, 1, 2, 3, 4, 1, 2, 3, 0, 4, 2, 1, 4, 2, 1, 2, 1, 4, 0, 0, 0, 4, 0, 1, 0, 0, 3, 0, 1, 0, 1, 4, 4, 0, 4, 3, 0, 3, 3, 0, 2, 3, 4, 3, 4, 4, 2, 0, 0, 0, 1, 2, 1, 0, 4, 2, 2, 4, 4, 3, 2, 1, 1, 1, 0, 2, 4, 2, 0, 2, 3, 3, 3, 3, 4, 1, 4, 4, 2, 4, 3, 0, 2, 1, 3, 4, 4, 2, 0, 2, 1, 1, 1, 3, 3, 3, 4, 4, 2, 0, 4, 3, 2, 2, 1, 1, 4, 0, 4, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 4, 0, 0, 4, 4, 0, 3, 4, 0, 2, 0, 0, 4, 2, 0, 0, 0, 3, 3, 0, 1, 2, 3, 4, 2, 2, 0, 2, 2, 2, 4, 2, 4, 0, 1, 4, 2, 4, 0, 1, 2, 4, 0, 2, 1, 0, 4, 1, 2, 4, 3, 1, 0, 1, 3, 4, 3, 1, 0, 0, 3, 4, 3, 3, 3, 4, 3, 0, 1, 2, 3, 2, 2, 1, 1, 1, 3, 1, 3, 4, 4, 2, 1, 1, 3, 0, 2, 1, 4, 1, 3, 0, 2, 3, 0, 1, 0, 1, 0, 4, 1, 3, 4, 3, 0, 4, 0, 0, 4, 2, 3, 2]
pubkeycol1260 = [1, 1, 0, 2, 3, 1, 3, 0, 0, 2, 4, 0, 4, 4, 1, 3, 2, 2, 2, 2, 0, 1, 3, 1, 3, 0, 4, 4, 1, 3, 2, 2, 4, 3, 2, 3, 2, 1, 4, 0, 0, 4, 4, 0, 3, 4, 2, 3, 0, 2, 2, 4, 1, 4, 3, 1, 4, 0, 1, 0, 2, 4, 0, 0, 0, 1, 4, 0, 4, 0, 1, 2, 3, 0, 1, 3, 2, 3, 4, 1, 4, 4, 1, 4, 0, 0, 2, 3, 2, 3, 4, 4, 2, 0, 3, 0, 2, 1, 3, 0, 3, 1, 0, 4, 1, 0, 1, 0, 2, 3, 0, 4, 3, 0, 3, 0, 3, 1, 1, 4, 3, 0, 2, 2, 3, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 4, 4, 4, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 4, 3, 1, 4, 2, 3, 1, 2, 3, 3, 1, 1, 3, 1, 2, 1, 0, 0, 4, 1, 3, 1, 1, 3, 0, 4, 4, 2, 3, 1, 3, 3, 3, 1, 2, 2, 0, 4, 0, 4, 3, 3, 1, 1, 3, 0, 3, 1, 3, 2, 0, 0, 2, 2, 4, 2, 4, 1, 3, 4, 0, 3, 2, 0, 1, 4, 0, 4, 4, 2, 2, 4, 2, 0, 1, 3, 1, 4, 4, 3, 1, 3, 4, 1, 2, 4, 2, 2, 4, 1, 1, 3, 1, 1, 1, 1, 2, 2, 0, 3, 0, 4, 1, 0, 3, 1, 2, 1, 0, 4, 4, 1, 2, 3, 1, 2, 1, 3, 2, 1, 1, 2, 3, 2, 3, 1, 0, 2, 2, 0, 3, 4, 4, 3, 4, 4, 4, 4, 4, 1, 0, 2, 4, 3, 0, 0, 1, 2, 3, 4, 2, 4, 2, 3, 3, 2, 2, 2, 1, 3, 2, 4, 2, 0, 4, 1, 2, 4, 0, 1, 3, 4, 0, 4, 0, 0, 3, 3, 3, 1, 1, 4, 2, 3, 1, 3, 2, 4, 1, 1, 3, 2, 0, 4, 1, 1, 4, 3, 2, 4, 2, 0, 4, 2, 0, 2, 1, 0, 0, 2, 1, 4, 1, 4, 3, 2, 2, 3, 3, 3, 2, 3, 3, 0, 3, 4, 2, 3, 1, 2, 0, 2, 3, 2, 2, 0, 1, 0, 2, 4, 2, 1, 2, 2, 0, 3, 0, 3, 1, 4, 0, 3, 1, 3, 3, 4, 2, 1, 4, 4, 0, 3, 4, 1, 4, 4, 1, 4, 1, 2, 2, 3, 2, 0, 2, 2, 2, 3, 1, 3, 1, 3, 2, 4, 1, 3, 0, 3, 3, 3, 0, 4, 4, 3, 4, 4, 1, 0, 1, 0, 0, 3, 1, 0, 0, 2, 1, 4, 0, 3, 2, 4, 4, 2, 0, 3, 0, 0, 0, 3, 1, 4, 0, 0, 4, 3, 2, 3, 4, 2, 3, 0, 0, 0, 4, 0, 4, 0, 0, 2, 1, 4, 1, 0, 3, 1, 1, 1, 1, 4, 3, 2, 4, 3]
pubkeycol1261 = [1, 1, 3, 4, 3, 0, 2, 0, 0, 2, 3, 2, 0, 0, 0, 1, 2, 4, 4, 0, 4, 3, 4, 2, 3, 3, 0, 1, 1, 2, 4, 2, 3, 3, 1, 3, 2, 3, 1, 3, 1, 0, 1, 1, 4, 1, 2, 4, 0, 4, 3, 2, 4, 0, 2, 1, 4, 1, 3, 1, 1, 0, 1, 2, 2, 0, 1, 4, 2, 4, 3, 1, 4, 1, 4, 0, 4, 2, 0, 1, 4, 0, 2, 3, 3, 4, 2, 4, 4, 2, 0, 3, 4, 2, 3, 3, 1, 2, 4, 3, 3, 1, 3, 3, 1, 4, 0, 0, 4, 2, 2, 1, 0, 2, 2, 2, 2, 4, 0, 0, 1, 2, 4, 3, 3, 4, 3, 1, 3, 1, 4, 4, 0, 2, 3, 1, 0, 4, 2, 2, 3, 4, 1, 4, 1, 3, 1, 2, 0, 2, 3, 2, 1, 3, 0, 4, 2, 1, 3, 1, 4, 3, 1, 2, 3, 4, 3, 0, 1, 2, 4, 0, 2, 4, 0, 3, 0, 3, 3, 1, 2, 0, 2, 1, 4, 4, 0, 3, 4, 4, 0, 4, 0, 1, 2, 1, 2, 1, 3, 3, 1, 2, 3, 3, 4, 1, 0, 3, 4, 1, 1, 3, 3, 4, 0, 0, 3, 4, 0, 0, 2, 4, 0, 1, 1, 4, 2, 3, 1, 2, 1, 3, 0, 0, 4, 1, 0, 3, 0, 1, 4, 0, 3, 4, 3, 3, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 4, 3, 2, 0, 1, 2, 2, 0, 0, 4, 0, 4, 3, 3, 4, 3, 0, 0, 2, 1, 0, 0, 4, 4, 2, 0, 3, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 3, 4, 3, 1, 2, 4, 3, 0, 2, 0, 3, 0, 4, 4, 2, 1, 4, 1, 1, 4, 3, 2, 0, 2, 2, 0, 2, 1, 3, 4, 3, 2, 1, 0, 3, 4, 0, 3, 0, 4, 4, 4, 4, 3, 0, 4, 3, 0, 3, 1, 3, 2, 4, 2, 0, 1, 1, 2, 1, 3, 3, 3, 1, 2, 2, 3, 2, 0, 2, 2, 3, 4, 1, 3, 3, 1, 0, 4, 3, 2, 3, 4, 2, 4, 1, 4, 1, 2, 3, 1, 3, 2, 3, 1, 1, 1, 4, 1, 3, 0, 2, 0, 3, 3, 4, 0, 2, 4, 0, 2, 3, 0, 4, 2, 2, 3, 3, 0, 0, 0, 4, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 4, 2, 3, 2, 4, 3, 0, 0, 3, 3, 2, 1, 2, 0, 2, 2, 1, 2, 4, 4, 1, 0, 3, 4, 0, 4, 4, 2, 3, 3, 0, 1, 4, 4, 1, 1, 0, 0, 0, 3, 2, 4, 4, 1, 1, 4, 0, 3, 4, 3, 0, 2, 2, 0, 3, 0, 3, 3, 1, 4, 0, 1, 0, 3, 2, 1, 0, 1, 0, 2, 0, 1, 2, 4, 1, 0, 3, 0]
pubkeycol1262 = [2, 4, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 4, 0, 4, 2, 4, 4, 4, 4, 3, 0, 1, 0, 4, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 4, 4, 1, 4, 0, 1, 1, 0, 3, 2, 1, 3, 0, 2, 4, 0, 1, 2, 3, 1, 3, 1, 4, 4, 0, 0, 3, 4, 1, 4, 4, 3, 0, 1, 1, 3, 0, 1, 2, 1, 0, 2, 2, 3, 1, 0, 3, 1, 2, 2, 3, 2, 3, 2, 4, 4, 0, 0, 1, 4, 1, 1, 3, 4, 0, 1, 4, 1, 3, 2, 3, 1, 2, 3, 4, 2, 3, 0, 3, 4, 2, 4, 3, 0, 4, 4, 4, 3, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 4, 0, 3, 3, 3, 1, 2, 3, 1, 0, 3, 3, 1, 0, 3, 1, 4, 0, 2, 4, 1, 4, 3, 1, 2, 2, 4, 1, 4, 1, 3, 1, 2, 4, 2, 4, 4, 1, 4, 4, 1, 0, 3, 2, 2, 1, 2, 3, 1, 1, 1, 4, 1, 4, 3, 0, 2, 1, 3, 4, 3, 2, 0, 1, 0, 2, 2, 0, 4, 4, 4, 4, 2, 2, 3, 2, 0, 2, 2, 4, 1, 2, 2, 0, 0, 3, 3, 1, 4, 0, 2, 0, 1, 3, 0, 2, 4, 1, 1, 3, 2, 0, 2, 3, 1, 3, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 4, 1, 3, 3, 4, 2, 1, 4, 1, 0, 2, 2, 0, 0, 4, 4, 3, 2, 0, 0, 1, 2, 2, 0, 1, 3, 0, 2, 2, 4, 0, 3, 1, 0, 3, 4, 1, 3, 0, 0, 1, 4, 3, 2, 4, 3, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 4, 2, 1, 2, 3, 1, 1, 4, 1, 3, 2, 4, 4, 1, 2, 1, 1, 4, 2, 4, 4, 2, 3, 4, 0, 3, 3, 0, 2, 1, 1, 3, 0, 1, 1, 4, 2, 4, 2, 1, 1, 3, 4, 3, 4, 1, 3, 0, 0, 1, 1, 0, 2, 4, 0, 3, 3, 0, 4, 3, 2, 0, 2, 1, 2, 0, 3, 4, 3, 1, 3, 3, 1, 0, 0, 4, 4, 4, 0, 1, 4, 4, 1, 0, 0, 1, 1, 0, 3, 3, 0, 1, 3, 4, 3, 4, 4, 0, 2, 1, 3, 4, 4, 4, 0, 0, 3, 4, 3, 2, 3, 1, 0, 1, 1, 2, 1, 1, 4, 4, 3, 3, 1, 4, 2, 3, 4, 1, 2, 0, 4, 2, 3, 0, 1, 0, 2, 4, 2, 1, 4, 0, 3, 1, 3, 1, 4, 2, 2, 0, 0, 0, 0, 4, 3, 3, 3, 4, 1, 1, 3, 3, 1, 3, 4, 2, 1, 1, 1, 3, 3, 2, 3, 3, 2, 1, 3, 0, 1, 1, 2, 4]
pubkeycol1263 = [3, 3, 4, 0, 0, 3, 1, 4, 2, 1, 2, 0, 1, 4, 3, 1, 2, 0, 0, 4, 4, 0, 2, 3, 0, 3, 4, 3, 0, 1, 4, 2, 0, 0, 0, 2, 2, 1, 0, 2, 4, 4, 0, 4, 1, 1, 1, 0, 0, 2, 1, 3, 3, 3, 4, 1, 0, 1, 1, 3, 1, 4, 3, 4, 3, 2, 2, 4, 4, 2, 2, 0, 1, 1, 3, 1, 0, 1, 1, 4, 2, 4, 2, 0, 3, 2, 0, 1, 4, 4, 1, 3, 4, 1, 4, 3, 4, 0, 3, 2, 4, 3, 3, 3, 4, 2, 3, 2, 0, 1, 1, 0, 0, 3, 0, 1, 4, 4, 1, 4, 2, 2, 4, 0, 0, 1, 1, 2, 3, 3, 3, 0, 4, 2, 4, 3, 3, 0, 1, 3, 2, 3, 4, 3, 4, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 3, 0, 3, 0, 0, 3, 3, 3, 1, 2, 0, 0, 4, 3, 4, 2, 4, 0, 3, 3, 0, 1, 0, 0, 3, 1, 4, 3, 1, 1, 2, 0, 1, 0, 1, 1, 2, 3, 2, 0, 1, 4, 1, 3, 1, 2, 2, 0, 1, 0, 4, 3, 2, 4, 2, 2, 4, 1, 3, 3, 4, 3, 3, 2, 4, 3, 4, 1, 3, 3, 4, 0, 0, 2, 3, 3, 3, 4, 2, 1, 3, 4, 1, 4, 3, 2, 4, 0, 4, 0, 0, 4, 1, 1, 2, 1, 3, 1, 0, 4, 1, 3, 2, 2, 2, 1, 4, 3, 0, 2, 4, 1, 4, 3, 4, 1, 1, 0, 1, 4, 2, 1, 1, 0, 0, 3, 3, 0, 0, 4, 2, 2, 1, 0, 3, 1, 1, 1, 3, 1, 2, 0, 1, 2, 1, 3, 2, 2, 1, 4, 0, 3, 3, 4, 3, 1, 4, 1, 4, 0, 4, 4, 1, 1, 2, 1, 4, 4, 3, 3, 1, 3, 2, 0, 3, 0, 2, 4, 1, 4, 2, 1, 4, 2, 3, 0, 4, 3, 3, 4, 1, 3, 0, 2, 4, 0, 3, 1, 2, 0, 2, 4, 3, 1, 2, 0, 4, 1, 2, 4, 3, 1, 3, 1, 2, 3, 3, 1, 4, 2, 2, 4, 1, 3, 0, 2, 2, 3, 1, 2, 3, 2, 1, 1, 4, 0, 4, 2, 4, 1, 4, 1, 1, 1, 3, 1, 1, 1, 4, 1, 1, 3, 2, 2, 1, 1, 0, 0, 1, 4, 4, 3, 4, 4, 1, 4, 4, 4, 4, 1, 0, 0, 2, 3, 1, 3, 0, 4, 2, 2, 1, 4, 0, 0, 0, 1, 2, 1, 2, 3, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 3, 2, 4, 3, 1, 1, 1, 0, 1, 2, 3, 2, 3, 1, 3, 0, 4, 2, 0, 1, 3, 4, 0, 2, 3, 0, 4, 0, 0, 2, 3, 2, 3, 3, 0, 3, 1, 4, 4, 1, 0, 1, 0, 2, 4, 2, 1, 2, 2]
pubkeycol1264 = [2, 3, 1, 3, 2, 1, 1, 4, 1, 3, 0, 4, 0, 4, 4, 4, 2, 3, 1, 4, 0, 4, 2, 4, 1, 2, 1, 3, 3, 0, 3, 3, 0, 2, 0, 0, 1, 0, 4, 0, 3, 3, 1, 1, 1, 2, 3, 1, 4, 1, 4, 1, 0, 0, 4, 0, 3, 0, 0, 0, 4, 0, 2, 2, 3, 4, 4, 3, 1, 3, 3, 1, 4, 3, 4, 2, 3, 4, 1, 3, 0, 3, 2, 2, 4, 3, 1, 0, 0, 4, 2, 4, 0, 4, 0, 0, 2, 0, 3, 4, 1, 4, 4, 0, 1, 2, 3, 1, 2, 3, 2, 1, 3, 4, 3, 0, 2, 2, 0, 3, 0, 3, 3, 4, 2, 3, 4, 4, 3, 1, 1, 2, 2, 2, 0, 3, 1, 2, 1, 4, 1, 1, 2, 4, 3, 3, 0, 3, 4, 0, 1, 0, 1, 0, 2, 4, 1, 2, 3, 0, 3, 0, 2, 0, 3, 4, 0, 3, 1, 2, 2, 0, 4, 4, 0, 4, 0, 4, 3, 4, 4, 4, 1, 4, 4, 4, 1, 3, 0, 1, 1, 3, 3, 2, 0, 3, 4, 1, 0, 1, 1, 1, 2, 1, 4, 1, 0, 4, 4, 0, 0, 4, 2, 4, 4, 0, 3, 3, 2, 2, 1, 1, 1, 1, 1, 2, 1, 3, 0, 0, 0, 3, 0, 4, 3, 0, 2, 1, 0, 2, 0, 0, 1, 3, 0, 3, 1, 1, 0, 0, 4, 1, 1, 3, 3, 3, 3, 2, 1, 4, 0, 2, 4, 0, 4, 4, 2, 4, 3, 4, 3, 3, 4, 0, 2, 3, 4, 2, 3, 2, 0, 1, 1, 2, 4, 2, 2, 4, 4, 1, 0, 1, 1, 3, 4, 3, 1, 1, 4, 0, 0, 4, 0, 2, 0, 3, 3, 2, 1, 2, 1, 1, 4, 3, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 3, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 3, 1, 4, 0, 2, 4, 0, 4, 1, 4, 1, 3, 2, 4, 3, 4, 2, 0, 2, 1, 4, 3, 4, 0, 1, 2, 4, 1, 0, 1, 1, 4, 0, 3, 0, 2, 2, 3, 2, 0, 3, 0, 3, 0, 0, 2, 1, 4, 2, 1, 4, 1, 1, 3, 0, 0, 1, 4, 4, 2, 2, 4, 3, 2, 1, 3, 4, 3, 0, 2, 0, 0, 2, 4, 3, 0, 2, 2, 2, 4, 4, 1, 1, 4, 0, 3, 3, 4, 3, 3, 3, 2, 2, 4, 1, 3, 3, 3, 4, 3, 3, 1, 2, 2, 3, 0, 3, 0, 4, 4, 2, 3, 0, 0, 3, 1, 4, 2, 2, 1, 1, 4, 2, 2, 0, 2, 4, 3, 2, 3, 3, 2, 3, 3, 2, 2, 3, 2, 2, 2, 2, 4, 4, 3, 1, 4, 4, 3, 3, 4, 0, 1, 0, 4, 4, 4, 1, 1, 4, 3, 0, 4, 3, 0, 3, 4, 4, 4, 0, 2]
pubkeycol1265 = [1, 4, 0, 2, 0, 4, 1, 2, 1, 4, 3, 2, 2, 3, 4, 1, 2, 3, 2, 4, 0, 2, 0, 4, 1, 0, 4, 3, 1, 1, 2, 0, 0, 4, 4, 1, 4, 0, 0, 3, 0, 3, 1, 2, 1, 4, 3, 0, 2, 0, 1, 0, 2, 0, 1, 3, 2, 4, 4, 3, 3, 0, 0, 4, 3, 4, 2, 3, 3, 0, 4, 4, 0, 4, 0, 3, 2, 2, 2, 0, 2, 4, 0, 4, 4, 3, 2, 1, 0, 2, 4, 2, 0, 2, 2, 3, 2, 3, 4, 0, 1, 3, 0, 2, 3, 2, 0, 4, 3, 1, 3, 1, 1, 4, 1, 2, 0, 4, 0, 2, 1, 3, 0, 2, 2, 1, 0, 1, 1, 0, 3, 1, 3, 3, 4, 4, 1, 3, 4, 1, 1, 4, 4, 1, 1, 4, 3, 2, 3, 2, 1, 2, 2, 1, 1, 2, 0, 2, 3, 4, 4, 1, 2, 2, 3, 0, 2, 0, 3, 2, 1, 1, 0, 2, 2, 2, 3, 3, 4, 1, 1, 3, 4, 4, 2, 3, 0, 4, 4, 3, 2, 1, 1, 4, 1, 0, 3, 1, 0, 1, 2, 0, 3, 2, 3, 4, 2, 2, 1, 2, 1, 2, 4, 0, 1, 2, 2, 0, 3, 3, 3, 1, 2, 2, 0, 1, 0, 4, 4, 3, 0, 1, 0, 1, 4, 0, 3, 0, 3, 1, 2, 1, 0, 0, 3, 0, 2, 3, 4, 1, 3, 1, 1, 0, 1, 3, 0, 3, 2, 3, 0, 3, 0, 2, 4, 3, 4, 2, 4, 3, 0, 0, 2, 2, 1, 3, 3, 0, 0, 3, 2, 4, 3, 2, 4, 4, 2, 2, 3, 4, 1, 0, 0, 1, 0, 0, 0, 2, 0, 4, 3, 0, 4, 3, 3, 4, 0, 0, 4, 0, 4, 4, 4, 3, 0, 3, 4, 0, 0, 4, 1, 1, 4, 3, 3, 4, 2, 1, 3, 4, 3, 1, 1, 0, 3, 1, 4, 1, 2, 2, 1, 3, 4, 0, 2, 4, 1, 3, 3, 3, 4, 0, 3, 1, 1, 0, 0, 4, 4, 2, 3, 2, 2, 3, 3, 0, 2, 4, 0, 1, 3, 4, 1, 1, 4, 0, 4, 0, 0, 4, 4, 0, 2, 2, 1, 1, 1, 2, 3, 0, 4, 4, 1, 1, 3, 1, 3, 2, 0, 0, 1, 1, 4, 1, 4, 2, 4, 1, 3, 2, 3, 1, 3, 4, 4, 3, 2, 4, 3, 4, 2, 1, 4, 3, 1, 3, 3, 1, 1, 4, 2, 2, 2, 1, 1, 4, 4, 3, 4, 3, 0, 0, 4, 3, 4, 4, 4, 2, 4, 0, 3, 3, 2, 1, 4, 0, 0, 4, 3, 1, 4, 3, 2, 0, 2, 3, 2, 2, 0, 0, 1, 1, 4, 0, 3, 1, 3, 4, 0, 4, 1, 4, 0, 1, 2, 4, 2, 2, 0, 4, 1, 3, 1, 3, 2, 2, 2, 2, 4, 0, 0, 3, 2, 0, 2]
pubkeycol1266 = [4, 2, 0, 0, 0, 0, 0, 4, 2, 3, 4, 0, 0, 0, 0, 2, 3, 2, 0, 2, 1, 0, 3, 1, 1, 4, 1, 0, 0, 1, 4, 4, 0, 3, 0, 2, 3, 1, 0, 4, 4, 0, 3, 1, 2, 3, 0, 4, 3, 1, 4, 4, 0, 4, 4, 2, 4, 3, 2, 1, 3, 1, 1, 0, 4, 1, 1, 2, 2, 0, 4, 3, 1, 4, 2, 1, 1, 4, 0, 3, 2, 1, 1, 0, 2, 4, 3, 2, 2, 0, 4, 3, 4, 0, 1, 0, 0, 0, 4, 4, 1, 3, 1, 4, 4, 0, 0, 1, 1, 3, 0, 3, 2, 2, 0, 4, 0, 0, 4, 4, 3, 2, 0, 0, 1, 0, 1, 4, 2, 0, 0, 2, 1, 4, 4, 0, 2, 0, 3, 0, 3, 1, 2, 1, 2, 4, 0, 2, 4, 1, 0, 1, 1, 3, 3, 1, 0, 3, 3, 4, 3, 4, 3, 3, 4, 2, 4, 3, 1, 3, 2, 1, 3, 1, 2, 1, 3, 1, 2, 2, 0, 2, 4, 1, 4, 4, 4, 3, 2, 2, 3, 3, 2, 4, 4, 4, 1, 4, 1, 3, 2, 4, 2, 3, 1, 4, 1, 2, 0, 3, 4, 3, 1, 3, 1, 3, 3, 4, 4, 0, 4, 2, 4, 4, 1, 2, 1, 3, 0, 1, 2, 4, 1, 1, 3, 4, 0, 0, 3, 3, 3, 3, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 3, 3, 0, 4, 0, 4, 0, 4, 2, 3, 0, 4, 3, 2, 1, 2, 0, 4, 0, 2, 2, 1, 0, 3, 1, 3, 1, 1, 0, 1, 4, 4, 3, 4, 3, 3, 3, 2, 3, 4, 4, 0, 2, 3, 3, 1, 1, 3, 4, 4, 0, 1, 1, 1, 2, 4, 0, 2, 3, 3, 3, 1, 2, 1, 4, 2, 2, 0, 2, 4, 1, 4, 4, 2, 2, 0, 2, 4, 4, 2, 3, 4, 3, 4, 3, 1, 0, 2, 4, 0, 3, 4, 3, 3, 0, 2, 2, 2, 3, 3, 4, 1, 1, 4, 3, 2, 0, 0, 4, 0, 3, 4, 3, 4, 4, 1, 4, 3, 1, 2, 2, 0, 1, 0, 0, 3, 0, 4, 3, 3, 4, 3, 4, 4, 3, 2, 3, 0, 3, 3, 2, 4, 0, 3, 3, 2, 4, 3, 0, 4, 2, 4, 0, 0, 4, 2, 1, 3, 0, 1, 1, 2, 0, 1, 3, 1, 3, 0, 1, 4, 4, 4, 3, 3, 1, 0, 2, 0, 0, 4, 0, 2, 1, 1, 3, 2, 4, 0, 3, 3, 2, 1, 4, 4, 3, 3, 1, 4, 0, 2, 3, 0, 2, 3, 2, 0, 0, 4, 4, 3, 3, 2, 0, 3, 1, 0, 3, 4, 1, 3, 2, 4, 0, 2, 2, 1, 0, 3, 4, 0, 4, 1, 1, 3, 4, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 4, 4, 4, 0, 3, 0]
pubkeycol1267 = [1, 2, 1, 2, 2, 2, 4, 2, 0, 0, 0, 0, 2, 1, 0, 3, 1, 0, 2, 4, 4, 0, 2, 4, 4, 1, 0, 4, 0, 4, 2, 0, 3, 3, 0, 2, 4, 3, 2, 4, 2, 4, 1, 3, 0, 0, 1, 2, 0, 1, 3, 3, 2, 1, 3, 2, 4, 2, 3, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 4, 1, 1, 4, 2, 2, 2, 2, 4, 1, 3, 4, 1, 2, 1, 4, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 4, 0, 1, 4, 2, 1, 1, 3, 1, 3, 4, 0, 2, 2, 2, 4, 3, 2, 1, 0, 3, 3, 2, 2, 4, 2, 2, 2, 4, 1, 2, 1, 1, 1, 4, 0, 4, 2, 0, 0, 2, 4, 1, 1, 2, 2, 0, 4, 0, 0, 3, 0, 3, 3, 0, 3, 2, 3, 2, 3, 2, 0, 4, 4, 0, 2, 4, 1, 0, 2, 4, 0, 3, 0, 0, 4, 4, 1, 2, 1, 1, 1, 2, 4, 0, 4, 2, 0, 1, 3, 0, 4, 1, 1, 3, 4, 4, 0, 0, 3, 1, 4, 2, 4, 4, 1, 1, 0, 1, 3, 3, 2, 1, 1, 3, 0, 3, 4, 3, 1, 4, 2, 0, 0, 2, 3, 1, 4, 4, 3, 1, 0, 2, 3, 4, 2, 4, 3, 1, 2, 4, 1, 3, 2, 2, 0, 4, 3, 2, 2, 0, 0, 3, 3, 1, 4, 3, 4, 4, 0, 3, 2, 4, 1, 2, 4, 0, 2, 1, 2, 0, 1, 0, 1, 4, 4, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 3, 2, 3, 1, 1, 2, 1, 4, 1, 1, 2, 4, 2, 0, 4, 0, 2, 2, 4, 0, 3, 1, 4, 1, 3, 3, 4, 2, 1, 3, 1, 4, 1, 3, 3, 3, 1, 2, 0, 2, 4, 2, 3, 1, 2, 1, 0, 1, 2, 4, 4, 0, 4, 2, 3, 2, 3, 2, 1, 2, 1, 0, 1, 3, 0, 4, 2, 1, 0, 0, 3, 3, 1, 3, 3, 4, 2, 2, 1, 0, 2, 0, 1, 4, 1, 3, 3, 2, 3, 3, 3, 1, 4, 1, 2, 3, 1, 2, 1, 2, 0, 0, 1, 4, 0, 1, 0, 4, 4, 3, 1, 0, 0, 4, 4, 4, 4, 0, 2, 0, 1, 1, 4, 4, 4, 1, 2, 2, 0, 1, 4, 3, 3, 3, 2, 3, 1, 0, 0, 4, 1, 1, 2, 2, 4, 4, 3, 3, 4, 4, 2, 4, 0, 3, 1, 1, 2, 0, 1, 1, 3, 0, 4, 0, 0, 3, 2, 4, 3, 3, 2, 4, 4, 3, 3, 3, 3, 0, 0, 3, 1, 4, 3, 4, 2, 4, 1, 4, 1, 4, 3, 2, 1, 4, 0, 0, 2, 4, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 3, 3, 4, 3, 1, 4, 2, 1, 3, 2, 2, 1, 2]
pubkeycol1268 = [4, 1, 1, 2, 4, 2, 0, 3, 3, 2, 1, 0, 3, 2, 0, 0, 2, 3, 1, 3, 4, 2, 1, 4, 0, 0, 2, 3, 3, 0, 2, 0, 3, 1, 1, 0, 0, 3, 4, 3, 4, 3, 4, 0, 3, 0, 3, 0, 1, 0, 3, 3, 0, 2, 1, 2, 2, 4, 4, 4, 1, 0, 1, 2, 2, 1, 3, 2, 3, 0, 2, 2, 2, 0, 2, 4, 1, 1, 1, 0, 4, 0, 3, 3, 2, 1, 3, 0, 2, 0, 4, 3, 3, 1, 1, 0, 3, 4, 3, 3, 0, 4, 1, 3, 0, 2, 2, 1, 1, 1, 3, 2, 2, 2, 2, 1, 4, 0, 0, 2, 1, 1, 4, 3, 4, 2, 1, 3, 1, 3, 0, 4, 2, 2, 2, 4, 3, 0, 3, 2, 4, 0, 0, 2, 4, 3, 4, 0, 1, 1, 2, 1, 2, 1, 3, 0, 2, 2, 3, 4, 2, 3, 4, 4, 3, 1, 0, 4, 3, 0, 3, 1, 0, 3, 3, 2, 4, 4, 1, 2, 3, 4, 3, 1, 2, 1, 4, 3, 2, 1, 2, 2, 3, 3, 2, 3, 2, 0, 2, 1, 3, 4, 2, 1, 1, 2, 3, 2, 4, 1, 1, 1, 0, 0, 3, 4, 1, 4, 1, 2, 4, 4, 2, 2, 4, 1, 3, 2, 2, 0, 3, 2, 3, 2, 3, 1, 0, 1, 0, 3, 1, 2, 0, 0, 2, 3, 2, 0, 2, 4, 2, 0, 0, 3, 3, 2, 4, 0, 2, 2, 2, 2, 1, 1, 4, 4, 4, 3, 0, 2, 2, 3, 1, 4, 3, 3, 0, 4, 0, 1, 1, 1, 3, 4, 0, 0, 2, 4, 3, 2, 1, 0, 4, 1, 0, 3, 2, 4, 1, 3, 3, 2, 3, 3, 1, 3, 3, 0, 3, 0, 0, 2, 2, 0, 1, 1, 1, 0, 3, 1, 0, 2, 4, 1, 1, 1, 1, 1, 2, 4, 1, 3, 3, 1, 4, 4, 4, 2, 4, 4, 1, 3, 1, 1, 0, 0, 4, 1, 3, 2, 0, 1, 2, 2, 4, 2, 2, 4, 2, 4, 4, 1, 0, 2, 3, 4, 1, 0, 2, 1, 2, 1, 3, 1, 1, 1, 0, 4, 1, 0, 4, 4, 1, 1, 3, 1, 2, 2, 3, 4, 3, 4, 0, 4, 2, 1, 3, 1, 4, 2, 3, 1, 0, 3, 0, 2, 4, 3, 3, 2, 1, 4, 3, 4, 3, 3, 2, 4, 4, 0, 1, 2, 2, 4, 4, 4, 0, 0, 3, 4, 1, 2, 0, 3, 3, 0, 3, 2, 4, 3, 4, 0, 2, 4, 0, 2, 0, 0, 2, 3, 4, 0, 2, 1, 3, 1, 3, 1, 2, 3, 1, 2, 3, 3, 2, 1, 1, 0, 0, 3, 1, 0, 1, 3, 1, 2, 4, 3, 4, 4, 3, 0, 4, 0, 0, 1, 4, 0, 0, 4, 3, 4, 0, 2, 0, 2, 0, 3, 3, 2, 3, 4, 3, 0, 1]
pubkeycol1269 = [1, 1, 3, 0, 1, 0, 4, 1, 4, 3, 0, 3, 2, 0, 2, 3, 1, 1, 2, 3, 2, 1, 2, 4, 2, 2, 2, 0, 4, 4, 4, 4, 3, 0, 4, 2, 1, 4, 0, 2, 0, 0, 1, 0, 2, 2, 4, 1, 4, 2, 3, 2, 1, 0, 0, 0, 4, 2, 1, 4, 2, 2, 3, 2, 1, 0, 4, 4, 3, 4, 0, 1, 2, 2, 1, 0, 2, 4, 4, 1, 4, 3, 2, 3, 3, 2, 3, 0, 0, 3, 4, 1, 2, 1, 0, 1, 3, 2, 1, 1, 4, 4, 1, 0, 1, 3, 3, 0, 2, 3, 3, 4, 0, 1, 1, 1, 1, 2, 3, 0, 0, 4, 4, 2, 2, 2, 4, 1, 4, 0, 1, 1, 4, 3, 0, 2, 3, 1, 2, 2, 3, 2, 3, 1, 0, 1, 4, 2, 2, 3, 0, 0, 3, 3, 1, 1, 2, 1, 1, 2, 4, 0, 0, 2, 1, 2, 3, 2, 3, 2, 0, 3, 4, 0, 3, 3, 3, 3, 4, 2, 0, 0, 3, 3, 0, 0, 2, 0, 3, 4, 0, 0, 3, 2, 0, 2, 3, 4, 4, 2, 1, 0, 2, 2, 3, 2, 3, 0, 3, 3, 1, 1, 2, 1, 4, 0, 2, 1, 4, 2, 3, 0, 4, 4, 0, 4, 4, 3, 3, 2, 1, 1, 3, 4, 2, 1, 1, 0, 4, 2, 3, 3, 4, 3, 1, 4, 0, 3, 3, 4, 2, 4, 0, 2, 4, 0, 3, 2, 0, 1, 0, 1, 4, 3, 3, 3, 2, 1, 2, 0, 0, 2, 1, 1, 4, 2, 0, 2, 2, 1, 2, 0, 1, 3, 3, 4, 1, 2, 0, 0, 4, 3, 0, 3, 3, 2, 2, 1, 0, 0, 3, 4, 2, 3, 3, 4, 3, 4, 2, 2, 1, 3, 1, 1, 4, 2, 4, 0, 2, 1, 4, 4, 1, 0, 0, 3, 0, 0, 0, 2, 2, 3, 0, 0, 0, 1, 1, 3, 2, 4, 3, 3, 0, 1, 1, 0, 1, 2, 2, 3, 1, 2, 1, 4, 4, 2, 4, 3, 0, 1, 2, 1, 0, 4, 0, 1, 1, 4, 3, 1, 4, 3, 2, 1, 1, 4, 2, 1, 3, 4, 1, 3, 3, 1, 4, 2, 4, 0, 3, 0, 0, 1, 4, 2, 0, 3, 1, 2, 0, 2, 4, 4, 1, 0, 4, 1, 2, 3, 1, 3, 4, 4, 2, 3, 4, 3, 2, 3, 2, 0, 4, 4, 0, 3, 4, 0, 4, 2, 0, 4, 2, 3, 1, 3, 4, 0, 4, 1, 0, 2, 1, 2, 1, 1, 1, 0, 4, 1, 0, 1, 0, 2, 2, 1, 0, 3, 1, 1, 0, 3, 0, 1, 0, 2, 3, 4, 2, 3, 2, 1, 2, 3, 1, 3, 4, 3, 0, 2, 1, 3, 2, 4, 0, 3, 4, 2, 1, 2, 4, 1, 2, 1, 4, 4, 0, 0, 4, 2, 1, 4, 3, 2, 3, 4, 2]
pubkeycol1270 = [2, 1, 4, 2, 2, 1, 1, 4, 1, 3, 2, 4, 4, 0, 3, 0, 0, 0, 0, 0, 1, 3, 4, 0, 3, 4, 3, 2, 4, 4, 2, 1, 1, 1, 1, 4, 1, 0, 0, 4, 1, 3, 4, 0, 0, 2, 2, 2, 2, 4, 0, 4, 0, 2, 3, 1, 3, 1, 1, 4, 2, 4, 1, 2, 0, 0, 1, 3, 2, 0, 4, 3, 3, 1, 0, 1, 0, 0, 0, 0, 3, 4, 2, 2, 2, 3, 4, 3, 2, 0, 3, 2, 3, 2, 4, 3, 2, 2, 0, 4, 1, 3, 1, 1, 0, 2, 2, 0, 0, 0, 3, 3, 4, 3, 0, 4, 0, 2, 4, 4, 3, 2, 0, 1, 1, 4, 3, 2, 0, 4, 3, 2, 1, 2, 0, 0, 0, 4, 3, 3, 0, 1, 4, 3, 0, 1, 0, 1, 3, 0, 0, 4, 2, 2, 4, 3, 1, 0, 0, 2, 3, 1, 4, 3, 2, 3, 4, 2, 4, 2, 0, 4, 0, 0, 4, 3, 3, 2, 3, 3, 2, 4, 2, 3, 4, 2, 2, 0, 1, 4, 4, 0, 2, 1, 2, 4, 4, 2, 1, 2, 0, 0, 4, 3, 2, 1, 0, 0, 0, 4, 3, 1, 3, 3, 1, 2, 3, 2, 4, 2, 1, 2, 1, 1, 0, 1, 2, 1, 4, 2, 1, 0, 3, 4, 2, 4, 1, 2, 1, 3, 0, 4, 1, 4, 1, 3, 2, 2, 4, 2, 2, 1, 0, 3, 4, 2, 2, 4, 4, 0, 3, 3, 1, 0, 1, 3, 3, 1, 2, 0, 3, 0, 0, 3, 4, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 3, 0, 1, 4, 3, 1, 0, 3, 0, 3, 3, 4, 1, 2, 2, 0, 3, 1, 3, 2, 4, 2, 3, 0, 1, 3, 1, 4, 2, 2, 2, 1, 2, 3, 2, 0, 0, 3, 0, 2, 2, 1, 2, 2, 0, 4, 0, 1, 0, 1, 4, 1, 4, 4, 1, 3, 1, 1, 0, 4, 1, 4, 0, 4, 3, 3, 0, 4, 0, 0, 4, 1, 2, 2, 4, 0, 0, 1, 2, 3, 2, 4, 0, 4, 1, 2, 1, 2, 0, 4, 0, 2, 4, 0, 3, 4, 0, 4, 3, 0, 3, 1, 2, 1, 1, 3, 1, 0, 0, 3, 0, 2, 0, 1, 4, 0, 4, 0, 1, 0, 1, 0, 4, 2, 1, 1, 4, 3, 4, 2, 2, 1, 2, 0, 4, 1, 0, 3, 0, 4, 3, 3, 0, 4, 3, 2, 3, 1, 1, 0, 0, 0, 0, 3, 1, 1, 3, 2, 2, 2, 0, 1, 0, 4, 0, 4, 2, 1, 4, 1, 0, 0, 2, 0, 1, 2, 2, 3, 0, 0, 0, 0, 4, 1, 1, 4, 1, 3, 3, 3, 4, 0, 1, 0, 1, 1, 1, 3, 4, 4, 4, 3, 4, 3, 0, 3, 2, 3, 3, 2, 4, 4, 2, 0, 4, 4, 1, 0]
pubkeycol1271 = [1, 3, 3, 3, 4, 3, 3, 4, 4, 2, 0, 4, 0, 0, 4, 4, 0, 3, 2, 4, 2, 3, 1, 2, 0, 1, 2, 4, 2, 2, 2, 2, 4, 0, 1, 2, 1, 1, 0, 3, 3, 0, 3, 4, 2, 3, 3, 0, 2, 1, 2, 2, 4, 4, 0, 3, 2, 1, 0, 2, 4, 3, 3, 2, 0, 2, 0, 3, 3, 3, 3, 1, 3, 1, 2, 4, 4, 0, 0, 4, 1, 2, 3, 1, 4, 0, 3, 2, 0, 1, 2, 2, 3, 1, 2, 4, 2, 4, 1, 0, 1, 4, 4, 1, 4, 1, 0, 2, 0, 0, 4, 1, 2, 3, 2, 0, 4, 3, 3, 2, 0, 1, 0, 1, 2, 0, 4, 2, 1, 1, 3, 4, 1, 3, 1, 2, 4, 4, 1, 0, 0, 4, 1, 2, 0, 0, 2, 4, 4, 1, 1, 0, 0, 1, 4, 3, 1, 3, 3, 0, 4, 4, 4, 1, 3, 1, 3, 3, 4, 1, 3, 2, 4, 0, 0, 4, 1, 3, 4, 0, 0, 1, 1, 4, 4, 1, 3, 2, 4, 3, 0, 1, 3, 2, 3, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 3, 2, 2, 1, 1, 2, 1, 1, 1, 4, 2, 0, 3, 4, 3, 4, 0, 2, 4, 4, 4, 2, 3, 4, 0, 0, 0, 4, 3, 4, 1, 1, 4, 0, 0, 1, 3, 4, 1, 4, 0, 2, 3, 4, 1, 1, 0, 1, 4, 2, 1, 4, 3, 1, 1, 0, 4, 2, 1, 0, 1, 2, 3, 0, 0, 0, 1, 4, 2, 4, 1, 3, 2, 1, 3, 1, 1, 1, 2, 1, 0, 3, 0, 2, 3, 0, 4, 1, 0, 4, 4, 0, 4, 4, 4, 4, 3, 3, 4, 0, 2, 2, 1, 1, 0, 3, 0, 0, 1, 0, 4, 0, 0, 0, 4, 2, 3, 1, 2, 1, 2, 4, 4, 4, 3, 1, 4, 0, 2, 1, 4, 4, 4, 2, 2, 4, 2, 2, 1, 3, 3, 4, 2, 4, 1, 0, 0, 2, 0, 2, 0, 3, 2, 4, 0, 3, 2, 2, 4, 0, 2, 1, 3, 2, 3, 4, 2, 2, 4, 0, 3, 4, 2, 4, 3, 1, 3, 2, 4, 0, 1, 1, 0, 2, 0, 0, 3, 4, 1, 4, 1, 1, 4, 2, 3, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 3, 4, 4, 0, 0, 4, 4, 4, 3, 1, 0, 1, 1, 2, 4, 0, 4, 3, 4, 2, 2, 1, 3, 1, 3, 3, 0, 4, 0, 3, 0, 1, 0, 0, 3, 0, 1, 4, 3, 4, 4, 3, 3, 3, 4, 3, 1, 0, 4, 3, 4, 3, 3, 0, 2, 4, 1, 2, 3, 4, 3, 3, 4, 0, 2, 1, 4, 3, 0, 0, 2, 0, 3, 3, 0, 0, 4, 4, 4, 2, 2, 4, 0, 3, 3, 0, 4, 1, 4, 3, 4, 2, 4, 0]
pubkeycol1272 = [2, 1, 2, 3, 4, 4, 4, 2, 3, 0, 1, 1, 1, 0, 3, 0, 1, 0, 3, 2, 3, 2, 3, 2, 0, 3, 0, 2, 0, 4, 3, 0, 3, 0, 2, 2, 2, 4, 1, 0, 1, 4, 2, 4, 1, 0, 2, 4, 3, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 4, 0, 0, 1, 1, 2, 4, 3, 4, 3, 1, 3, 1, 2, 2, 2, 0, 4, 1, 1, 0, 4, 0, 4, 4, 3, 3, 0, 0, 1, 1, 1, 2, 0, 3, 1, 2, 2, 0, 3, 2, 1, 0, 4, 1, 4, 1, 4, 1, 2, 2, 0, 0, 2, 4, 0, 1, 2, 3, 2, 1, 1, 0, 3, 1, 4, 2, 4, 1, 1, 0, 4, 4, 3, 3, 3, 2, 1, 4, 1, 2, 3, 1, 1, 2, 1, 1, 3, 4, 3, 2, 2, 4, 3, 1, 0, 0, 4, 1, 4, 2, 1, 2, 0, 2, 3, 4, 1, 1, 3, 0, 4, 0, 1, 4, 2, 4, 1, 2, 2, 2, 1, 4, 0, 3, 0, 0, 2, 4, 0, 3, 0, 2, 0, 4, 4, 1, 4, 2, 1, 0, 1, 1, 2, 0, 4, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 3, 4, 1, 3, 2, 0, 1, 3, 3, 2, 1, 0, 0, 2, 3, 0, 0, 3, 3, 1, 4, 2, 3, 2, 1, 1, 1, 2, 0, 1, 0, 3, 0, 4, 3, 3, 4, 2, 2, 2, 0, 1, 3, 1, 3, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 3, 1, 1, 0, 2, 3, 0, 2, 3, 4, 2, 1, 0, 1, 4, 0, 3, 4, 2, 3, 1, 4, 1, 2, 2, 1, 3, 1, 0, 4, 4, 0, 0, 3, 0, 0, 0, 2, 0, 1, 3, 1, 1, 2, 1, 0, 3, 4, 0, 0, 0, 0, 4, 2, 0, 1, 1, 0, 3, 0, 3, 4, 1, 4, 2, 0, 0, 0, 2, 3, 0, 3, 0, 2, 3, 0, 1, 3, 4, 4, 3, 0, 0, 4, 4, 0, 3, 1, 4, 4, 3, 0, 4, 2, 4, 2, 4, 4, 0, 1, 1, 0, 1, 4, 1, 0, 0, 3, 2, 2, 1, 0, 1, 1, 2, 0, 2, 3, 1, 0, 3, 4, 4, 3, 0, 2, 0, 1, 4, 3, 0, 3, 3, 4, 2, 4, 3, 4, 4, 4, 1, 4, 1, 0, 0, 3, 3, 2, 3, 3, 3, 2, 2, 0, 4, 0, 0, 3, 2, 0, 2, 4, 4, 0, 2, 3, 1, 3, 2, 2, 3, 2, 2, 4, 2, 4, 1, 1, 4, 0, 3, 3, 1, 2, 2, 2, 3, 1, 3, 0, 1, 2, 0, 4, 0, 3, 0, 3, 3, 0, 3, 1, 3, 3, 1, 4, 2, 1, 2, 4, 3, 4, 0, 2, 4, 0, 0, 1, 0, 1, 2, 1, 1, 4, 0, 4, 1, 0, 0, 0, 3]
pubkeycol1273 = [4, 2, 3, 0, 3, 1, 3, 2, 2, 0, 0, 4, 3, 3, 1, 1, 4, 0, 4, 2, 4, 2, 3, 1, 2, 1, 1, 4, 4, 0, 2, 0, 1, 2, 3, 1, 0, 4, 0, 3, 3, 0, 3, 1, 0, 3, 0, 1, 1, 0, 0, 1, 4, 0, 4, 3, 3, 4, 0, 3, 0, 0, 1, 2, 3, 4, 0, 4, 2, 0, 2, 4, 0, 3, 2, 4, 4, 3, 0, 2, 1, 1, 2, 2, 1, 3, 1, 2, 1, 0, 0, 1, 0, 4, 0, 2, 3, 3, 1, 2, 3, 0, 3, 0, 1, 4, 3, 4, 4, 0, 2, 0, 3, 1, 3, 1, 0, 2, 1, 3, 0, 0, 1, 0, 4, 2, 2, 4, 4, 0, 0, 4, 3, 3, 1, 0, 2, 0, 3, 1, 2, 3, 4, 1, 3, 4, 1, 4, 2, 1, 2, 4, 3, 4, 3, 3, 3, 0, 3, 2, 1, 0, 0, 1, 3, 0, 3, 1, 0, 3, 2, 4, 2, 2, 3, 0, 0, 4, 3, 3, 3, 1, 4, 0, 1, 2, 3, 3, 1, 4, 1, 2, 1, 3, 3, 4, 2, 0, 3, 0, 3, 0, 0, 1, 0, 2, 4, 1, 1, 4, 3, 1, 3, 1, 3, 2, 4, 0, 1, 2, 3, 0, 3, 0, 0, 3, 1, 1, 3, 3, 0, 1, 2, 2, 4, 1, 2, 1, 2, 1, 1, 4, 4, 3, 4, 1, 4, 4, 0, 1, 3, 3, 3, 4, 4, 1, 0, 1, 0, 2, 0, 3, 1, 0, 3, 1, 2, 2, 0, 1, 4, 4, 0, 2, 4, 1, 4, 4, 4, 1, 1, 4, 4, 0, 4, 0, 0, 1, 1, 0, 4, 3, 2, 1, 0, 3, 4, 1, 2, 1, 1, 2, 3, 2, 2, 0, 0, 0, 0, 4, 0, 3, 4, 4, 4, 1, 0, 1, 3, 2, 4, 1, 1, 1, 2, 1, 4, 1, 0, 1, 4, 1, 3, 4, 2, 0, 0, 3, 3, 1, 3, 4, 2, 1, 2, 4, 4, 4, 4, 3, 4, 4, 4, 2, 2, 0, 4, 3, 0, 0, 3, 3, 0, 4, 4, 4, 2, 3, 4, 4, 1, 2, 2, 4, 2, 3, 1, 0, 0, 3, 1, 0, 0, 4, 1, 4, 3, 3, 4, 3, 0, 0, 2, 0, 0, 3, 3, 3, 3, 4, 4, 4, 4, 2, 0, 3, 3, 1, 3, 2, 1, 0, 3, 4, 3, 2, 3, 3, 3, 4, 3, 1, 0, 4, 4, 3, 4, 1, 1, 1, 0, 3, 0, 1, 2, 1, 4, 1, 4, 4, 1, 3, 0, 2, 4, 3, 0, 1, 0, 0, 1, 2, 4, 1, 3, 0, 2, 0, 1, 4, 1, 1, 0, 3, 3, 0, 2, 4, 4, 2, 3, 2, 4, 2, 0, 0, 4, 4, 0, 0, 0, 2, 1, 2, 4, 1, 4, 2, 1, 3, 3, 4, 1, 4, 2, 3, 3, 3, 0, 0, 3, 3, 4, 4, 0]
pubkeycol1274 = [4, 2, 1, 1, 4, 1, 1, 1, 1, 0, 2, 2, 2, 4, 4, 1, 4, 2, 4, 0, 1, 0, 3, 4, 1, 1, 4, 2, 0, 3, 2, 2, 4, 1, 3, 1, 4, 0, 4, 0, 2, 1, 1, 4, 0, 1, 0, 0, 2, 0, 3, 3, 1, 1, 1, 1, 4, 2, 3, 1, 1, 2, 1, 0, 4, 1, 1, 4, 0, 1, 3, 3, 4, 0, 3, 1, 4, 1, 1, 0, 2, 1, 3, 2, 0, 3, 0, 1, 3, 0, 0, 4, 3, 1, 3, 0, 4, 3, 3, 3, 3, 1, 1, 0, 3, 4, 2, 2, 0, 4, 0, 4, 3, 4, 1, 1, 3, 3, 2, 1, 1, 2, 3, 1, 2, 3, 4, 2, 2, 0, 4, 0, 3, 1, 1, 0, 1, 4, 3, 2, 4, 3, 1, 2, 4, 4, 1, 3, 1, 4, 3, 1, 2, 2, 4, 3, 0, 0, 1, 4, 4, 3, 3, 4, 2, 3, 1, 3, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 3, 1, 3, 1, 3, 1, 4, 3, 1, 4, 3, 0, 1, 4, 2, 1, 1, 1, 2, 4, 0, 4, 0, 3, 1, 1, 0, 0, 0, 2, 3, 2, 1, 4, 2, 3, 3, 3, 0, 4, 1, 3, 4, 0, 0, 3, 4, 2, 2, 0, 1, 3, 0, 4, 4, 0, 0, 4, 3, 1, 1, 4, 4, 3, 1, 4, 3, 1, 4, 0, 4, 2, 4, 4, 2, 3, 4, 0, 3, 1, 2, 3, 3, 2, 4, 0, 3, 4, 4, 1, 3, 3, 1, 4, 0, 1, 0, 2, 0, 3, 3, 1, 1, 4, 4, 0, 2, 4, 0, 2, 2, 3, 0, 0, 1, 4, 4, 4, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 3, 1, 1, 2, 0, 2, 3, 2, 3, 0, 0, 0, 2, 1, 4, 3, 0, 4, 3, 4, 2, 4, 3, 0, 1, 4, 2, 3, 2, 4, 3, 1, 4, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 0, 4, 4, 1, 0, 2, 0, 2, 4, 0, 4, 1, 4, 3, 4, 4, 0, 3, 1, 1, 0, 3, 3, 3, 1, 4, 4, 0, 2, 0, 1, 3, 3, 2, 3, 0, 2, 4, 2, 0, 4, 2, 3, 3, 2, 0, 0, 4, 2, 0, 0, 0, 1, 1, 0, 4, 1, 4, 2, 2, 1, 3, 0, 0, 2, 4, 4, 0, 4, 2, 4, 1, 3, 4, 4, 0, 1, 3, 0, 2, 1, 2, 4, 3, 2, 3, 3, 0, 3, 0, 4, 3, 0, 2, 3, 1, 4, 1, 0, 0, 1, 4, 2, 3, 3, 3, 1, 3, 1, 1, 3, 4, 4, 3, 4, 2, 2, 3, 1, 1, 0, 3, 2, 4, 3, 1, 3, 3, 4, 3, 4, 4, 1, 1, 1, 1, 1, 0, 2, 3, 3, 0, 2, 2, 2, 4, 4, 0]
pubkeycol1275 = [1, 2, 4, 2, 4, 4, 3, 3, 1, 3, 2, 1, 2, 3, 4, 1, 4, 1, 0, 1, 2, 2, 0, 0, 0, 3, 1, 2, 1, 4, 2, 1, 1, 4, 2, 3, 3, 3, 0, 0, 3, 3, 4, 0, 0, 1, 1, 0, 3, 1, 3, 4, 0, 4, 2, 1, 2, 1, 2, 3, 1, 0, 4, 4, 2, 4, 0, 4, 1, 2, 4, 4, 4, 1, 3, 2, 3, 0, 2, 3, 1, 0, 0, 1, 2, 2, 2, 4, 3, 0, 4, 2, 1, 4, 4, 3, 1, 2, 2, 4, 2, 2, 3, 3, 1, 2, 4, 3, 1, 1, 1, 1, 3, 4, 1, 2, 1, 4, 4, 3, 1, 2, 0, 2, 1, 1, 2, 4, 1, 1, 1, 4, 4, 1, 0, 1, 0, 0, 2, 4, 2, 0, 4, 3, 0, 1, 4, 2, 1, 4, 4, 0, 1, 3, 4, 1, 2, 1, 0, 4, 4, 4, 1, 1, 0, 4, 3, 2, 3, 2, 4, 2, 1, 4, 2, 0, 2, 2, 3, 2, 2, 1, 1, 1, 3, 0, 3, 1, 1, 3, 4, 0, 4, 4, 0, 0, 3, 0, 0, 1, 2, 4, 4, 0, 3, 0, 4, 0, 4, 2, 1, 0, 4, 2, 4, 1, 2, 1, 2, 3, 4, 2, 0, 1, 0, 0, 4, 4, 1, 3, 3, 2, 4, 2, 4, 2, 0, 4, 0, 3, 0, 1, 2, 3, 4, 4, 3, 4, 3, 4, 4, 1, 1, 0, 3, 2, 2, 2, 4, 3, 1, 2, 4, 1, 2, 1, 0, 0, 3, 3, 2, 2, 2, 4, 0, 1, 4, 0, 2, 0, 1, 4, 2, 1, 3, 1, 3, 4, 1, 3, 4, 0, 4, 0, 3, 0, 2, 4, 1, 1, 2, 4, 4, 3, 1, 0, 3, 3, 3, 2, 0, 4, 4, 2, 0, 4, 2, 3, 0, 1, 3, 4, 2, 2, 0, 1, 3, 1, 0, 1, 0, 4, 0, 1, 2, 0, 0, 2, 3, 4, 2, 4, 1, 0, 4, 0, 0, 2, 1, 0, 1, 0, 4, 1, 4, 3, 1, 1, 2, 0, 3, 2, 3, 1, 3, 3, 0, 1, 2, 0, 3, 2, 2, 1, 0, 2, 4, 4, 4, 3, 2, 2, 4, 4, 2, 3, 1, 2, 3, 4, 0, 2, 4, 3, 0, 0, 4, 4, 0, 0, 4, 3, 2, 1, 2, 0, 2, 1, 0, 3, 4, 1, 3, 2, 1, 3, 1, 0, 1, 4, 4, 0, 3, 0, 3, 1, 3, 1, 4, 3, 2, 2, 3, 0, 2, 4, 4, 4, 2, 0, 2, 4, 3, 1, 0, 1, 0, 3, 0, 3, 1, 3, 3, 2, 0, 3, 1, 3, 0, 3, 2, 3, 4, 1, 2, 3, 3, 2, 3, 3, 3, 4, 2, 0, 4, 3, 2, 2, 3, 0, 1, 4, 2, 0, 3, 1, 1, 1, 3, 1, 0, 2, 1, 0, 1, 1, 4, 2, 2, 3, 4, 3, 3, 3, 3]
pubkeycol1276 = [1, 0, 4, 3, 4, 4, 2, 4, 3, 1, 3, 4, 3, 2, 2, 4, 4, 2, 0, 4, 3, 2, 2, 2, 0, 4, 2, 1, 3, 1, 0, 2, 2, 0, 2, 1, 2, 1, 4, 2, 3, 4, 0, 2, 3, 2, 2, 3, 4, 4, 3, 3, 1, 2, 1, 2, 1, 3, 3, 1, 2, 0, 0, 0, 0, 2, 4, 0, 1, 3, 3, 3, 1, 3, 3, 3, 4, 0, 0, 2, 0, 3, 4, 4, 1, 0, 4, 2, 2, 2, 3, 2, 4, 0, 0, 4, 4, 1, 2, 1, 3, 0, 2, 4, 4, 0, 0, 0, 3, 4, 2, 4, 2, 0, 3, 1, 2, 2, 0, 0, 2, 3, 3, 0, 4, 4, 3, 2, 4, 2, 4, 4, 3, 3, 0, 2, 4, 1, 2, 1, 2, 2, 0, 2, 3, 1, 2, 4, 4, 3, 3, 2, 0, 2, 2, 3, 1, 2, 1, 2, 4, 1, 2, 1, 2, 4, 0, 3, 3, 3, 1, 2, 1, 4, 1, 1, 1, 1, 2, 1, 2, 3, 0, 4, 2, 4, 3, 1, 4, 4, 4, 2, 3, 0, 2, 0, 0, 1, 0, 3, 0, 3, 3, 4, 2, 3, 1, 3, 1, 2, 0, 2, 3, 1, 4, 0, 0, 2, 0, 1, 0, 4, 4, 1, 3, 4, 4, 4, 0, 2, 0, 3, 3, 1, 4, 0, 4, 0, 3, 3, 1, 2, 1, 3, 4, 1, 2, 3, 0, 3, 0, 1, 0, 4, 4, 3, 0, 2, 0, 3, 4, 0, 4, 2, 1, 0, 0, 0, 4, 2, 3, 3, 2, 2, 1, 0, 2, 4, 1, 3, 0, 2, 4, 4, 4, 0, 3, 2, 1, 0, 2, 4, 2, 1, 3, 4, 1, 0, 2, 4, 1, 1, 4, 1, 0, 1, 0, 2, 4, 3, 1, 2, 2, 0, 0, 3, 3, 2, 1, 4, 3, 0, 1, 2, 4, 2, 0, 3, 2, 3, 0, 2, 2, 2, 0, 3, 2, 1, 1, 3, 2, 4, 3, 2, 2, 1, 2, 2, 3, 3, 3, 0, 1, 4, 1, 3, 4, 0, 4, 1, 1, 1, 4, 2, 2, 2, 2, 4, 3, 4, 2, 2, 1, 0, 2, 0, 0, 2, 2, 4, 4, 0, 2, 0, 4, 3, 1, 1, 4, 0, 0, 3, 0, 0, 1, 4, 4, 3, 3, 0, 3, 1, 1, 4, 4, 2, 0, 4, 1, 1, 3, 0, 2, 4, 2, 4, 3, 0, 4, 3, 2, 0, 4, 3, 3, 1, 4, 2, 1, 3, 3, 1, 1, 1, 4, 4, 0, 4, 2, 1, 1, 3, 0, 4, 1, 2, 3, 1, 1, 1, 2, 0, 4, 4, 4, 3, 2, 3, 3, 2, 3, 1, 4, 3, 3, 2, 0, 0, 3, 0, 2, 2, 3, 3, 1, 3, 4, 1, 4, 4, 2, 2, 0, 1, 2, 4, 4, 4, 4, 2, 3, 1, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 4, 2, 1]
pubkeycol1277 = [3, 1, 2, 2, 2, 1, 2, 1, 4, 4, 0, 3, 1, 3, 4, 3, 2, 3, 3, 1, 3, 3, 4, 2, 2, 1, 0, 0, 1, 1, 1, 2, 3, 3, 2, 1, 3, 2, 2, 2, 3, 0, 3, 0, 4, 3, 0, 3, 2, 3, 2, 4, 3, 4, 2, 0, 2, 0, 0, 4, 0, 1, 1, 0, 1, 0, 3, 2, 1, 2, 0, 3, 3, 3, 2, 3, 3, 1, 4, 2, 0, 3, 2, 1, 4, 0, 2, 1, 2, 2, 3, 2, 1, 0, 4, 3, 1, 0, 4, 1, 3, 2, 2, 2, 2, 2, 4, 4, 2, 0, 2, 3, 2, 4, 3, 2, 3, 3, 3, 1, 2, 2, 1, 1, 3, 4, 1, 2, 1, 2, 2, 1, 4, 1, 4, 4, 1, 3, 0, 1, 3, 2, 0, 1, 2, 1, 4, 0, 0, 4, 1, 1, 1, 1, 2, 3, 1, 1, 3, 2, 1, 3, 3, 1, 0, 1, 2, 1, 1, 1, 0, 0, 3, 2, 2, 2, 3, 0, 2, 3, 1, 3, 0, 4, 0, 3, 1, 2, 0, 3, 3, 1, 1, 0, 4, 4, 0, 4, 0, 1, 4, 1, 2, 1, 3, 2, 1, 0, 0, 2, 4, 4, 0, 0, 0, 0, 4, 2, 4, 1, 4, 3, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 4, 2, 0, 4, 1, 4, 1, 3, 2, 2, 0, 4, 1, 1, 1, 0, 2, 1, 3, 3, 3, 0, 0, 2, 1, 1, 2, 3, 2, 2, 3, 0, 1, 0, 3, 4, 2, 1, 2, 3, 3, 4, 2, 2, 4, 0, 2, 3, 2, 2, 4, 4, 1, 3, 2, 1, 2, 2, 0, 1, 0, 1, 3, 2, 0, 2, 1, 1, 2, 0, 1, 2, 4, 1, 4, 3, 3, 4, 0, 3, 3, 2, 4, 1, 3, 1, 2, 2, 4, 0, 4, 2, 2, 4, 1, 4, 1, 3, 3, 0, 0, 2, 4, 2, 3, 2, 3, 3, 2, 1, 0, 2, 3, 2, 4, 3, 3, 3, 4, 4, 3, 3, 2, 0, 1, 4, 1, 3, 4, 0, 2, 2, 3, 0, 3, 4, 2, 4, 3, 0, 2, 2, 2, 4, 2, 2, 4, 3, 4, 4, 4, 0, 2, 0, 1, 3, 4, 0, 4, 4, 4, 3, 4, 1, 2, 2, 1, 3, 4, 1, 2, 1, 3, 2, 0, 2, 1, 2, 1, 0, 2, 4, 3, 2, 1, 3, 0, 4, 1, 3, 3, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 3, 4, 2, 1, 3, 1, 1, 2, 1, 3, 3, 4, 4, 0, 4, 0, 4, 4, 1, 4, 1, 2, 3, 1, 3, 2, 4, 3, 1, 2, 1, 3, 1, 0, 2, 0, 4, 1, 4, 2, 0, 4, 1, 0, 4, 3, 4, 2, 2, 2, 2, 4, 4, 2, 3, 3, 4, 4, 2, 1, 3, 0, 0, 2, 4, 2, 2, 2, 4, 4, 3]
pubkeycol1278 = [1, 2, 3, 4, 1, 0, 1, 1, 1, 1, 4, 2, 1, 3, 2, 3, 2, 2, 3, 3, 2, 4, 2, 2, 2, 2, 3, 4, 0, 2, 2, 4, 1, 2, 2, 4, 4, 2, 0, 1, 2, 3, 3, 2, 2, 4, 3, 3, 2, 0, 4, 2, 2, 4, 3, 4, 4, 1, 4, 2, 4, 0, 3, 2, 1, 1, 2, 4, 3, 2, 2, 2, 1, 2, 0, 0, 4, 2, 2, 4, 1, 3, 4, 2, 1, 4, 1, 0, 3, 2, 4, 1, 0, 0, 1, 0, 4, 3, 4, 1, 3, 1, 0, 3, 1, 3, 0, 3, 3, 2, 2, 2, 1, 1, 3, 1, 3, 4, 2, 1, 4, 1, 3, 3, 4, 2, 4, 3, 2, 4, 0, 1, 3, 1, 4, 0, 2, 1, 2, 4, 3, 0, 4, 3, 1, 4, 1, 3, 1, 3, 1, 1, 4, 2, 0, 1, 3, 0, 3, 4, 4, 0, 2, 1, 3, 0, 2, 2, 2, 2, 4, 4, 0, 4, 0, 2, 1, 4, 0, 3, 0, 3, 1, 4, 3, 0, 3, 1, 3, 3, 0, 1, 1, 2, 3, 2, 2, 1, 1, 4, 0, 0, 0, 0, 1, 2, 3, 0, 4, 0, 1, 0, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 1, 1, 2, 1, 3, 1, 3, 0, 1, 2, 2, 0, 0, 2, 4, 0, 3, 2, 4, 3, 4, 3, 1, 4, 2, 3, 2, 0, 0, 2, 1, 3, 1, 4, 2, 3, 3, 4, 0, 4, 2, 3, 1, 4, 2, 2, 1, 3, 4, 1, 4, 3, 0, 2, 3, 1, 3, 0, 1, 1, 3, 2, 0, 0, 3, 4, 3, 1, 1, 0, 3, 2, 2, 3, 2, 1, 0, 2, 2, 1, 0, 0, 4, 1, 4, 4, 2, 2, 4, 2, 1, 0, 1, 4, 4, 4, 4, 4, 0, 3, 2, 0, 4, 3, 2, 4, 4, 2, 1, 2, 3, 1, 3, 2, 1, 0, 2, 0, 0, 4, 2, 3, 3, 0, 0, 2, 3, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 3, 0, 1, 3, 0, 4, 4, 1, 4, 3, 2, 1, 0, 0, 2, 1, 3, 0, 4, 2, 3, 1, 0, 3, 1, 3, 4, 0, 0, 3, 3, 2, 3, 0, 4, 1, 3, 4, 4, 0, 4, 0, 4, 3, 2, 2, 2, 1, 4, 0, 3, 3, 3, 3, 3, 0, 3, 4, 3, 1, 0, 2, 2, 2, 4, 0, 1, 3, 3, 0, 0, 4, 2, 4, 1, 0, 3, 0, 2, 0, 3, 3, 2, 1, 3, 1, 4, 1, 1, 0, 0, 3, 1, 0, 2, 2, 3, 3, 2, 2, 1, 0, 2, 4, 2, 3, 0, 3, 0, 1, 4, 0, 1, 2, 1, 1, 2, 2, 3, 2, 2, 4, 0, 0, 3, 2, 4, 4, 1, 0, 3, 4, 3, 1, 0, 0, 1, 3, 1, 2, 0, 0, 0, 1]
pubkeycol1279 = [3, 4, 1, 4, 2, 2, 4, 2, 4, 1, 0, 3, 3, 2, 4, 2, 0, 4, 0, 2, 0, 3, 0, 4, 3, 2, 2, 4, 4, 4, 3, 2, 0, 1, 1, 3, 4, 4, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 4, 2, 3, 0, 1, 3, 2, 2, 0, 3, 1, 2, 3, 2, 1, 2, 0, 2, 0, 1, 4, 2, 4, 0, 2, 2, 0, 2, 0, 0, 3, 3, 2, 1, 2, 4, 1, 2, 4, 1, 1, 0, 3, 1, 2, 2, 4, 1, 4, 1, 0, 1, 1, 1, 3, 4, 4, 0, 1, 0, 3, 4, 2, 0, 0, 0, 3, 2, 3, 1, 4, 1, 1, 4, 2, 4, 3, 3, 2, 3, 4, 4, 0, 4, 1, 1, 2, 4, 1, 0, 2, 2, 3, 2, 1, 3, 0, 3, 3, 1, 4, 2, 0, 3, 4, 1, 1, 4, 1, 3, 0, 3, 3, 2, 0, 1, 0, 0, 2, 0, 2, 1, 3, 4, 3, 3, 3, 1, 1, 1, 1, 4, 4, 3, 2, 0, 3, 3, 2, 4, 1, 4, 3, 4, 4, 4, 1, 0, 4, 1, 0, 0, 2, 3, 4, 1, 1, 0, 2, 2, 3, 1, 0, 3, 4, 2, 3, 3, 4, 1, 0, 2, 3, 2, 0, 3, 2, 1, 0, 3, 4, 2, 3, 1, 4, 3, 3, 1, 4, 2, 1, 1, 1, 2, 3, 4, 0, 2, 2, 4, 0, 4, 1, 4, 1, 4, 2, 2, 4, 3, 1, 2, 2, 1, 3, 1, 4, 1, 0, 1, 0, 3, 1, 3, 3, 0, 4, 4, 4, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 3, 1, 0, 0, 1, 1, 4, 2, 0, 0, 4, 4, 3, 0, 1, 1, 2, 0, 1, 2, 2, 4, 0, 3, 4, 3, 3, 0, 1, 4, 3, 0, 3, 1, 0, 4, 0, 0, 1, 1, 4, 3, 0, 0, 1, 4, 1, 3, 4, 2, 3, 2, 0, 0, 4, 1, 0, 4, 4, 0, 2, 2, 1, 1, 4, 1, 2, 2, 2, 3, 3, 2, 2, 3, 2, 2, 4, 4, 0, 2, 3, 0, 3, 4, 1, 0, 4, 2, 2, 3, 0, 1, 2, 4, 3, 0, 1, 3, 4, 1, 2, 1, 1, 1, 0, 1, 1, 3, 1, 1, 0, 1, 2, 0, 0, 2, 1, 4, 0, 2, 0, 1, 1, 3, 2, 3, 1, 1, 1, 4, 3, 4, 0, 2, 3, 4, 1, 4, 2, 3, 2, 3, 2, 4, 3, 4, 0, 4, 1, 0, 4, 1, 1, 1, 1, 1, 3, 3, 3, 2, 3, 0, 2, 0, 4, 2, 4, 1, 4, 2, 3, 1, 0, 2, 0, 4, 4, 1, 0, 2, 2, 1, 3, 2, 2, 3, 0, 0, 1, 1, 3, 0, 3, 1, 4, 3, 1, 4, 0, 2, 3, 2, 4, 2, 4, 4, 0, 3, 4, 4, 3, 0, 4, 3, 0, 4, 2, 3]
pubkeycol1280 = [2, 0, 0, 3, 3, 0, 3, 1, 4, 2, 0, 0, 2, 1, 1, 2, 3, 4, 3, 2, 0, 4, 1, 1, 4, 1, 4, 0, 2, 3, 3, 3, 4, 2, 1, 0, 2, 0, 2, 2, 3, 0, 0, 4, 0, 0, 3, 0, 2, 4, 1, 4, 4, 0, 4, 4, 2, 4, 3, 2, 0, 4, 4, 0, 2, 2, 1, 0, 2, 4, 0, 2, 4, 0, 3, 4, 3, 1, 3, 2, 3, 0, 0, 2, 0, 4, 2, 1, 4, 4, 3, 3, 0, 1, 3, 2, 1, 4, 0, 3, 2, 0, 0, 4, 3, 3, 2, 0, 0, 4, 0, 4, 0, 4, 3, 3, 1, 1, 0, 0, 1, 4, 0, 1, 1, 1, 1, 2, 3, 3, 0, 2, 4, 3, 3, 4, 3, 0, 1, 2, 4, 3, 2, 1, 3, 0, 2, 0, 3, 4, 4, 2, 1, 1, 0, 3, 2, 3, 1, 4, 1, 2, 0, 3, 0, 3, 3, 2, 0, 1, 2, 4, 0, 4, 1, 2, 3, 4, 4, 4, 4, 2, 2, 0, 1, 0, 0, 1, 0, 4, 0, 4, 0, 2, 3, 2, 4, 4, 1, 2, 2, 2, 1, 1, 1, 0, 3, 3, 0, 3, 4, 2, 2, 1, 2, 0, 1, 1, 4, 3, 4, 3, 0, 2, 0, 3, 0, 4, 1, 3, 1, 3, 0, 0, 0, 3, 0, 2, 2, 4, 1, 4, 0, 3, 1, 0, 4, 4, 4, 0, 1, 1, 3, 4, 1, 3, 2, 4, 0, 3, 2, 1, 2, 4, 1, 2, 1, 3, 1, 3, 4, 0, 3, 2, 2, 2, 0, 3, 4, 1, 0, 4, 4, 2, 4, 0, 4, 4, 3, 4, 0, 4, 4, 2, 3, 3, 4, 1, 1, 0, 0, 0, 3, 0, 2, 4, 4, 3, 2, 0, 2, 4, 1, 3, 4, 2, 4, 1, 4, 2, 0, 4, 1, 4, 1, 4, 1, 3, 4, 4, 1, 0, 0, 4, 0, 3, 4, 2, 3, 2, 3, 2, 1, 3, 4, 2, 2, 4, 4, 3, 4, 3, 3, 3, 3, 4, 1, 4, 4, 0, 4, 2, 1, 0, 4, 2, 0, 4, 3, 1, 0, 0, 3, 3, 2, 1, 4, 2, 2, 4, 0, 4, 1, 3, 4, 0, 3, 2, 2, 3, 0, 0, 2, 0, 4, 4, 4, 2, 1, 4, 4, 3, 2, 2, 0, 2, 0, 0, 1, 1, 4, 2, 1, 0, 1, 3, 0, 0, 1, 0, 3, 1, 0, 3, 1, 0, 2, 1, 2, 4, 0, 2, 1, 0, 4, 1, 0, 1, 2, 3, 2, 4, 4, 1, 4, 2, 3, 0, 3, 4, 2, 1, 4, 1, 2, 2, 3, 0, 4, 3, 3, 4, 1, 2, 2, 3, 4, 2, 4, 1, 1, 1, 1, 2, 1, 0, 3, 4, 2, 2, 3, 0, 0, 3, 1, 0, 4, 4, 2, 3, 1, 3, 2, 2, 2, 0, 4, 0, 4, 0, 3, 0, 4, 4, 2]
pubkeycol1281 = [3, 4, 2, 1, 4, 0, 4, 0, 4, 1, 3, 1, 3, 3, 1, 4, 4, 1, 4, 3, 3, 0, 4, 1, 0, 2, 1, 1, 3, 2, 1, 1, 2, 4, 0, 3, 1, 1, 4, 1, 3, 1, 3, 3, 0, 4, 0, 0, 1, 3, 1, 4, 4, 2, 1, 1, 3, 3, 4, 2, 3, 0, 4, 0, 2, 0, 3, 0, 2, 2, 4, 4, 1, 2, 1, 2, 3, 3, 1, 2, 0, 1, 1, 4, 4, 2, 2, 0, 3, 4, 4, 3, 3, 0, 3, 3, 1, 1, 4, 2, 3, 2, 0, 2, 0, 2, 1, 2, 0, 1, 3, 4, 4, 3, 1, 3, 2, 4, 1, 2, 0, 4, 3, 3, 4, 4, 3, 1, 3, 2, 4, 3, 0, 0, 1, 3, 4, 0, 0, 3, 4, 1, 0, 1, 4, 0, 3, 3, 1, 3, 4, 0, 0, 1, 1, 2, 0, 2, 3, 0, 2, 3, 1, 0, 1, 1, 1, 4, 0, 0, 3, 1, 0, 1, 3, 3, 1, 4, 2, 3, 4, 0, 3, 1, 1, 4, 4, 4, 2, 1, 4, 2, 1, 4, 4, 0, 2, 0, 3, 0, 4, 0, 3, 0, 1, 3, 0, 4, 1, 2, 4, 1, 2, 0, 1, 2, 2, 2, 3, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 4, 4, 1, 0, 3, 4, 2, 4, 4, 1, 4, 1, 1, 1, 2, 3, 4, 1, 1, 4, 2, 2, 4, 1, 1, 3, 0, 2, 1, 1, 1, 2, 0, 4, 1, 3, 2, 2, 0, 2, 1, 0, 1, 0, 1, 3, 3, 2, 0, 1, 0, 4, 0, 3, 4, 3, 0, 3, 2, 1, 0, 4, 2, 3, 3, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 3, 3, 3, 3, 4, 4, 0, 4, 0, 2, 1, 3, 2, 3, 3, 3, 0, 1, 2, 4, 1, 4, 1, 1, 0, 2, 4, 4, 3, 0, 3, 3, 1, 3, 1, 3, 2, 3, 3, 2, 0, 2, 0, 3, 4, 0, 2, 3, 2, 3, 4, 4, 1, 4, 3, 1, 2, 0, 4, 1, 1, 4, 4, 1, 1, 4, 0, 3, 0, 1, 4, 2, 0, 0, 1, 3, 3, 2, 4, 3, 1, 4, 4, 3, 3, 3, 4, 1, 1, 0, 2, 3, 4, 3, 2, 2, 0, 4, 2, 1, 3, 4, 3, 2, 2, 4, 3, 0, 0, 2, 3, 4, 3, 2, 3, 1, 3, 4, 0, 1, 2, 3, 0, 0, 3, 2, 4, 2, 3, 1, 1, 2, 4, 1, 0, 4, 0, 0, 0, 3, 0, 0, 1, 3, 3, 1, 4, 4, 3, 1, 0, 0, 4, 4, 4, 4, 0, 2, 4, 2, 4, 0, 4, 4, 4, 4, 4, 1, 0, 4, 3, 1, 1, 0, 0, 2, 3, 0, 2, 4, 4, 2, 2, 2, 0, 3, 2, 4, 2, 1, 4, 1, 0, 2, 2, 0, 0, 2, 3, 2, 4]
pubkeycol1282 = [0, 1, 3, 1, 3, 1, 3, 4, 3, 3, 0, 3, 1, 4, 1, 4, 1, 3, 4, 3, 4, 1, 2, 2, 2, 0, 0, 2, 1, 4, 2, 0, 2, 2, 1, 1, 2, 4, 3, 0, 1, 2, 1, 2, 2, 4, 1, 2, 4, 1, 4, 1, 4, 1, 3, 3, 4, 1, 0, 0, 3, 4, 3, 2, 2, 1, 4, 1, 3, 3, 0, 4, 0, 4, 2, 4, 4, 0, 1, 1, 2, 1, 3, 2, 3, 2, 1, 0, 3, 1, 4, 2, 2, 4, 2, 4, 3, 3, 4, 0, 3, 2, 3, 1, 4, 1, 1, 3, 4, 1, 2, 3, 2, 1, 3, 4, 4, 1, 1, 2, 1, 0, 3, 1, 0, 2, 1, 2, 4, 1, 4, 3, 1, 0, 2, 3, 0, 1, 4, 1, 2, 1, 3, 0, 1, 1, 3, 1, 0, 0, 4, 2, 2, 3, 4, 4, 3, 2, 2, 4, 0, 3, 2, 1, 3, 1, 2, 1, 4, 2, 2, 1, 4, 2, 2, 4, 4, 4, 4, 2, 4, 3, 4, 0, 0, 4, 0, 1, 0, 2, 0, 3, 2, 1, 4, 1, 0, 2, 2, 1, 4, 3, 1, 2, 3, 1, 3, 4, 2, 2, 2, 4, 4, 1, 1, 0, 2, 2, 3, 3, 2, 3, 1, 1, 3, 0, 1, 2, 2, 3, 3, 0, 3, 0, 2, 4, 2, 4, 2, 2, 2, 3, 2, 4, 4, 0, 3, 3, 4, 4, 4, 1, 1, 4, 0, 4, 4, 1, 2, 0, 2, 0, 0, 2, 4, 2, 4, 1, 0, 1, 3, 2, 3, 2, 0, 3, 3, 2, 2, 1, 3, 3, 1, 0, 3, 3, 2, 0, 0, 4, 1, 0, 0, 3, 2, 1, 4, 2, 4, 1, 0, 0, 2, 3, 2, 3, 4, 3, 0, 4, 1, 3, 0, 2, 1, 1, 1, 0, 2, 2, 3, 1, 0, 3, 4, 3, 1, 1, 3, 0, 0, 1, 3, 1, 0, 3, 0, 1, 3, 2, 2, 4, 3, 4, 3, 2, 0, 1, 3, 2, 3, 1, 2, 4, 1, 0, 4, 0, 1, 0, 4, 3, 0, 2, 3, 2, 2, 4, 4, 2, 3, 2, 2, 1, 4, 2, 3, 2, 1, 2, 1, 4, 4, 3, 4, 4, 2, 3, 1, 3, 4, 4, 0, 4, 2, 4, 0, 0, 4, 2, 0, 0, 2, 3, 2, 0, 0, 0, 0, 3, 1, 3, 3, 3, 2, 3, 0, 4, 3, 3, 2, 0, 3, 1, 0, 4, 0, 3, 0, 4, 1, 0, 4, 0, 4, 4, 3, 1, 3, 0, 3, 0, 3, 1, 4, 0, 4, 2, 4, 1, 1, 4, 4, 3, 4, 0, 0, 1, 3, 4, 3, 3, 1, 3, 1, 4, 4, 0, 2, 0, 1, 4, 3, 2, 3, 2, 0, 0, 0, 2, 4, 3, 1, 2, 3, 4, 0, 0, 0, 3, 1, 3, 3, 1, 4, 0, 2, 1, 0, 0, 4, 2, 3, 4, 2]
pubkeycol1283 = [0, 1, 4, 3, 0, 1, 4, 1, 0, 4, 3, 2, 0, 0, 3, 2, 0, 2, 4, 2, 2, 3, 1, 3, 1, 3, 3, 2, 2, 2, 2, 3, 0, 0, 2, 1, 0, 3, 4, 0, 0, 3, 4, 3, 1, 3, 3, 2, 2, 1, 2, 3, 0, 2, 0, 2, 2, 2, 3, 1, 0, 3, 3, 2, 3, 4, 2, 4, 0, 4, 4, 2, 1, 0, 3, 3, 1, 2, 4, 4, 1, 3, 3, 4, 3, 2, 0, 3, 1, 4, 3, 3, 0, 3, 2, 2, 3, 1, 3, 2, 2, 2, 0, 3, 2, 4, 4, 3, 1, 1, 1, 3, 3, 0, 0, 2, 3, 2, 0, 1, 3, 1, 0, 0, 0, 2, 3, 2, 2, 3, 0, 2, 3, 0, 2, 1, 2, 2, 0, 1, 0, 3, 2, 0, 4, 2, 2, 0, 3, 0, 3, 1, 0, 2, 4, 0, 3, 1, 4, 2, 1, 4, 0, 1, 4, 4, 4, 4, 3, 2, 4, 0, 4, 0, 4, 1, 1, 1, 4, 4, 1, 4, 3, 0, 0, 4, 4, 0, 2, 0, 3, 1, 4, 4, 2, 3, 3, 0, 2, 3, 4, 3, 3, 1, 3, 0, 3, 1, 3, 4, 1, 0, 0, 3, 4, 1, 3, 0, 3, 1, 3, 3, 0, 2, 0, 3, 1, 1, 0, 1, 2, 4, 2, 3, 0, 2, 2, 3, 3, 3, 2, 1, 3, 1, 2, 4, 4, 0, 0, 2, 0, 4, 0, 3, 4, 3, 2, 3, 1, 3, 3, 2, 0, 1, 2, 2, 3, 0, 3, 3, 0, 4, 2, 0, 2, 1, 1, 4, 0, 0, 1, 1, 1, 1, 2, 4, 1, 2, 0, 0, 1, 3, 2, 0, 0, 0, 4, 3, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 4, 1, 3, 2, 0, 1, 0, 1, 3, 1, 3, 3, 2, 0, 1, 2, 3, 2, 4, 0, 1, 3, 4, 3, 0, 1, 0, 4, 2, 4, 1, 1, 3, 2, 4, 1, 3, 2, 0, 1, 1, 0, 0, 4, 2, 4, 2, 4, 3, 1, 4, 2, 3, 4, 4, 1, 4, 2, 4, 3, 1, 4, 1, 1, 1, 3, 2, 3, 3, 3, 1, 0, 2, 4, 4, 2, 0, 0, 2, 3, 1, 1, 4, 1, 2, 3, 0, 2, 1, 1, 0, 0, 4, 2, 4, 3, 2, 3, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 4, 1, 0, 3, 4, 3, 0, 4, 1, 0, 1, 4, 4, 3, 1, 2, 2, 3, 2, 0, 1, 2, 2, 0, 4, 4, 3, 0, 1, 0, 4, 0, 0, 0, 4, 4, 2, 4, 0, 1, 3, 2, 0, 2, 2, 1, 4, 4, 4, 2, 1, 3, 2, 1, 4, 0, 2, 1, 0, 1, 2, 0, 4, 3, 0, 1, 0, 3, 3, 0, 1, 0, 1, 3, 3, 0, 4, 4, 1, 3, 2, 4, 0, 0, 2, 4, 1, 4, 4]
pubkeycol1284 = [4, 2, 3, 0, 0, 4, 2, 3, 1, 0, 4, 0, 0, 4, 1, 3, 1, 0, 1, 2, 4, 4, 4, 3, 4, 1, 3, 4, 0, 4, 0, 4, 2, 1, 3, 2, 1, 0, 0, 4, 1, 0, 2, 2, 2, 1, 3, 3, 3, 1, 1, 0, 3, 2, 3, 2, 3, 0, 3, 4, 2, 4, 2, 2, 0, 2, 4, 4, 0, 4, 0, 0, 4, 4, 1, 4, 2, 3, 0, 2, 4, 2, 1, 1, 4, 4, 2, 0, 2, 2, 3, 4, 2, 0, 2, 0, 4, 0, 4, 0, 2, 0, 4, 4, 4, 4, 1, 2, 4, 3, 0, 0, 0, 0, 1, 2, 0, 2, 3, 2, 3, 0, 2, 0, 0, 3, 1, 4, 2, 2, 2, 4, 4, 4, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 3, 3, 4, 3, 4, 0, 1, 3, 2, 1, 1, 0, 3, 3, 1, 4, 2, 1, 2, 1, 0, 3, 0, 2, 0, 3, 4, 1, 1, 3, 4, 3, 3, 0, 2, 3, 3, 4, 0, 1, 4, 3, 3, 4, 3, 4, 3, 3, 1, 4, 2, 1, 3, 3, 2, 3, 1, 3, 3, 1, 4, 2, 3, 4, 3, 1, 0, 4, 1, 4, 1, 4, 4, 4, 3, 1, 3, 2, 3, 2, 0, 1, 1, 3, 1, 2, 2, 1, 4, 2, 1, 4, 1, 0, 4, 1, 2, 0, 0, 1, 3, 2, 1, 4, 3, 3, 4, 4, 2, 1, 1, 2, 0, 4, 2, 4, 0, 1, 3, 1, 0, 3, 3, 4, 1, 1, 0, 1, 2, 0, 1, 3, 3, 1, 2, 4, 3, 4, 2, 4, 4, 4, 4, 1, 0, 4, 1, 2, 3, 0, 4, 1, 2, 0, 3, 1, 2, 1, 4, 4, 3, 3, 1, 3, 2, 1, 1, 4, 3, 4, 1, 2, 3, 4, 3, 1, 2, 1, 1, 3, 1, 0, 4, 4, 4, 4, 1, 3, 2, 0, 4, 2, 1, 3, 4, 2, 3, 1, 4, 2, 3, 0, 3, 1, 3, 2, 0, 4, 0, 2, 3, 0, 3, 2, 4, 2, 0, 2, 3, 1, 3, 3, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 4, 0, 1, 1, 0, 0, 1, 3, 0, 1, 4, 1, 3, 0, 1, 0, 1, 0, 4, 4, 2, 2, 0, 2, 3, 3, 1, 2, 2, 4, 2, 2, 0, 1, 2, 3, 3, 0, 3, 4, 1, 0, 3, 4, 4, 3, 1, 0, 1, 3, 0, 2, 1, 3, 4, 1, 1, 2, 3, 3, 1, 4, 2, 0, 4, 1, 4, 0, 1, 1, 2, 4, 2, 0, 3, 1, 4, 2, 2, 4, 2, 3, 1, 3, 2, 2, 4, 3, 3, 2, 4, 1, 4, 0, 1, 4, 0, 4, 0, 3, 0, 0, 1, 2, 3, 1, 2, 1, 0, 4, 4, 3, 2, 3, 0, 1, 2, 2, 1, 1, 3, 0, 1, 3, 2, 4, 2, 0, 3]
pubkeycol1285 = [2, 4, 0, 3, 0, 2, 1, 3, 4, 4, 4, 1, 2, 3, 1, 2, 0, 4, 4, 0, 4, 0, 3, 1, 3, 0, 4, 3, 4, 4, 4, 4, 1, 3, 3, 4, 0, 3, 1, 4, 1, 4, 2, 0, 0, 0, 3, 3, 4, 4, 2, 1, 3, 3, 2, 4, 2, 4, 4, 3, 3, 2, 2, 3, 4, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 3, 1, 4, 0, 4, 4, 1, 4, 0, 1, 3, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 4, 4, 2, 4, 2, 1, 2, 4, 1, 3, 4, 0, 4, 3, 0, 0, 1, 4, 4, 0, 3, 3, 4, 2, 3, 4, 0, 4, 3, 2, 3, 1, 4, 0, 3, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 3, 4, 3, 2, 3, 0, 0, 1, 1, 3, 3, 4, 1, 0, 4, 3, 0, 2, 4, 4, 3, 3, 0, 4, 1, 2, 1, 2, 0, 2, 2, 2, 3, 0, 3, 1, 3, 2, 4, 0, 2, 1, 0, 1, 0, 2, 3, 0, 1, 4, 4, 0, 2, 0, 3, 4, 1, 1, 2, 1, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 4, 3, 4, 4, 2, 3, 0, 2, 0, 3, 3, 0, 4, 1, 2, 3, 0, 0, 2, 1, 4, 1, 3, 4, 0, 4, 3, 0, 4, 4, 2, 0, 3, 4, 0, 2, 1, 0, 3, 4, 0, 2, 3, 0, 1, 1, 4, 3, 4, 3, 4, 2, 2, 3, 1, 1, 1, 0, 3, 0, 2, 3, 3, 0, 1, 3, 4, 3, 2, 2, 3, 4, 4, 4, 0, 0, 0, 3, 3, 4, 3, 1, 2, 1, 0, 3, 3, 2, 3, 3, 4, 0, 1, 0, 4, 4, 4, 2, 2, 4, 4, 3, 1, 2, 2, 4, 1, 3, 4, 4, 3, 2, 1, 1, 2, 3, 1, 2, 1, 2, 4, 2, 3, 4, 4, 2, 4, 3, 0, 4, 4, 4, 2, 0, 0, 1, 3, 1, 3, 2, 3, 2, 2, 4, 1, 0, 1, 0, 4, 4, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 4, 2, 1, 1, 3, 1, 4, 2, 0, 3, 1, 2, 0, 3, 0, 4, 2, 1, 2, 0, 1, 4, 2, 0, 0, 4, 3, 4, 0, 2, 0, 4, 3, 0, 2, 1, 0, 4, 2, 1, 0, 3, 4, 3, 1, 0, 0, 2, 1, 2, 0, 4, 0, 2, 0, 0, 0, 1, 0, 0, 0, 4, 4, 2, 1, 0, 2, 4, 0, 0, 3, 2, 3, 0, 1, 0, 0, 2, 3, 2, 0, 1, 0, 4, 0, 2, 1, 3, 2, 0, 3, 0, 2, 0, 3, 0, 2, 0, 4, 0, 2, 0, 3, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 4, 2, 1, 3, 1, 0, 1, 0, 4, 0, 0, 1, 4, 3, 3, 1, 2, 2, 0]
pubkeycol1286 = [2, 4, 3, 3, 0, 4, 4, 0, 3, 2, 4, 0, 0, 3, 4, 3, 1, 4, 3, 0, 4, 3, 4, 1, 0, 2, 2, 4, 0, 0, 0, 1, 4, 3, 0, 0, 1, 2, 3, 4, 4, 1, 4, 4, 4, 4, 2, 4, 1, 2, 3, 3, 1, 3, 0, 4, 1, 4, 2, 3, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 3, 4, 2, 4, 1, 1, 2, 2, 0, 3, 4, 0, 1, 2, 1, 1, 1, 4, 4, 2, 1, 0, 2, 2, 4, 0, 0, 1, 3, 0, 0, 2, 4, 0, 2, 4, 1, 4, 4, 3, 1, 3, 2, 1, 4, 1, 0, 1, 3, 4, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 4, 1, 0, 0, 2, 4, 2, 0, 4, 2, 1, 3, 3, 0, 3, 2, 3, 4, 2, 1, 3, 3, 3, 4, 0, 1, 0, 4, 3, 4, 2, 0, 3, 3, 2, 0, 2, 3, 1, 2, 4, 4, 0, 3, 1, 1, 1, 4, 1, 4, 0, 0, 3, 2, 2, 3, 1, 4, 1, 4, 3, 3, 4, 4, 2, 1, 2, 1, 3, 3, 4, 2, 4, 2, 1, 2, 3, 4, 0, 2, 1, 1, 0, 3, 1, 0, 4, 4, 3, 3, 2, 2, 2, 0, 3, 1, 4, 1, 3, 0, 0, 2, 3, 3, 1, 0, 1, 4, 1, 2, 0, 2, 2, 0, 0, 2, 2, 3, 2, 2, 3, 3, 4, 4, 0, 0, 4, 3, 4, 3, 4, 1, 1, 0, 4, 1, 4, 4, 2, 3, 3, 1, 2, 3, 0, 0, 0, 2, 1, 0, 3, 4, 2, 2, 0, 0, 3, 2, 3, 4, 1, 4, 0, 3, 1, 4, 3, 4, 4, 2, 2, 1, 3, 2, 1, 1, 3, 1, 1, 0, 4, 2, 3, 3, 2, 0, 1, 4, 3, 0, 1, 0, 1, 3, 3, 2, 3, 2, 3, 1, 3, 3, 0, 1, 0, 2, 2, 3, 3, 3, 1, 2, 3, 1, 4, 2, 2, 0, 2, 4, 1, 2, 4, 3, 0, 0, 4, 3, 0, 4, 2, 1, 1, 3, 4, 3, 4, 3, 4, 3, 3, 1, 1, 1, 2, 2, 3, 4, 0, 3, 4, 3, 2, 4, 0, 2, 4, 3, 4, 0, 0, 3, 3, 0, 2, 2, 0, 3, 0, 1, 1, 1, 4, 3, 3, 3, 1, 2, 0, 4, 1, 2, 3, 4, 4, 4, 4, 3, 4, 2, 4, 1, 1, 4, 2, 1, 1, 4, 4, 1, 3, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 3, 1, 4, 0, 1, 0, 1, 0, 4, 1, 4, 4, 3, 4, 3, 2, 0, 4, 3, 3, 0, 1, 0, 3, 4, 4, 4, 0, 4, 3, 2, 1, 4, 3, 4, 2, 0, 4, 0, 0, 0, 2, 3, 3, 1, 0, 0, 3, 0, 0, 3, 0, 1, 0, 1, 1, 1, 1, 4]
pubkeycol1287 = [0, 2, 4, 1, 2, 4, 0, 1, 1, 0, 3, 3, 0, 4, 3, 2, 3, 4, 2, 1, 0, 1, 0, 1, 4, 2, 3, 1, 3, 0, 4, 3, 3, 1, 1, 0, 4, 3, 3, 2, 1, 0, 0, 3, 3, 0, 3, 3, 2, 0, 2, 0, 1, 1, 4, 1, 0, 4, 4, 4, 0, 3, 3, 3, 4, 0, 3, 1, 3, 4, 1, 1, 4, 4, 3, 0, 2, 3, 0, 3, 2, 3, 1, 0, 1, 3, 4, 0, 2, 2, 2, 3, 0, 1, 3, 3, 3, 4, 1, 4, 2, 1, 3, 3, 4, 1, 0, 3, 3, 2, 3, 4, 3, 2, 0, 3, 2, 0, 0, 4, 2, 4, 1, 2, 0, 0, 2, 4, 3, 4, 4, 3, 0, 2, 1, 3, 2, 3, 0, 3, 2, 1, 4, 1, 3, 1, 2, 4, 0, 0, 2, 0, 1, 4, 1, 4, 3, 2, 3, 3, 1, 1, 1, 1, 3, 1, 3, 2, 0, 1, 3, 4, 3, 4, 4, 1, 3, 3, 0, 3, 4, 3, 1, 0, 0, 4, 4, 1, 2, 2, 4, 4, 1, 2, 3, 1, 1, 1, 3, 0, 1, 0, 2, 3, 4, 4, 1, 4, 1, 2, 4, 0, 3, 1, 0, 2, 2, 3, 1, 3, 4, 2, 3, 3, 1, 3, 4, 3, 0, 4, 4, 3, 1, 2, 0, 0, 3, 0, 1, 3, 2, 0, 3, 0, 0, 4, 2, 1, 4, 2, 3, 0, 0, 4, 0, 3, 3, 2, 4, 3, 0, 4, 1, 3, 2, 3, 4, 0, 2, 3, 1, 3, 4, 3, 4, 1, 2, 0, 2, 2, 4, 2, 2, 0, 3, 3, 0, 0, 2, 1, 3, 0, 1, 3, 0, 1, 4, 2, 1, 2, 0, 4, 1, 2, 0, 4, 3, 4, 3, 2, 0, 4, 3, 0, 3, 3, 4, 1, 4, 4, 4, 3, 0, 4, 2, 2, 2, 1, 1, 1, 2, 3, 4, 0, 0, 2, 3, 4, 1, 1, 1, 0, 2, 3, 1, 1, 2, 4, 1, 2, 4, 4, 0, 1, 2, 0, 1, 1, 4, 1, 4, 4, 1, 0, 1, 3, 4, 4, 3, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 4, 4, 3, 3, 4, 1, 2, 2, 4, 0, 4, 1, 4, 1, 4, 4, 0, 0, 2, 4, 1, 0, 4, 1, 2, 1, 0, 1, 1, 3, 4, 0, 0, 1, 3, 0, 3, 3, 1, 3, 1, 3, 3, 4, 2, 4, 3, 4, 1, 0, 1, 2, 0, 1, 3, 3, 1, 2, 0, 3, 2, 1, 0, 4, 3, 4, 0, 2, 4, 0, 3, 0, 0, 3, 2, 4, 3, 0, 0, 0, 2, 1, 4, 3, 4, 3, 2, 0, 4, 3, 3, 1, 1, 4, 1, 4, 1, 2, 4, 0, 1, 0, 1, 3, 1, 1, 1, 3, 0, 3, 1, 3, 3, 3, 0, 1, 3, 0, 3, 3, 4, 3, 0, 4]
pubkeycol1288 = [4, 1, 1, 3, 4, 2, 1, 3, 4, 0, 3, 0, 0, 1, 1, 4, 1, 2, 2, 1, 4, 0, 4, 3, 3, 3, 3, 4, 0, 2, 1, 2, 0, 0, 3, 3, 0, 1, 0, 4, 4, 3, 0, 3, 4, 1, 2, 2, 1, 3, 4, 0, 3, 1, 4, 2, 4, 3, 2, 2, 4, 2, 2, 0, 0, 3, 3, 4, 1, 2, 2, 1, 3, 3, 4, 4, 2, 0, 0, 2, 1, 2, 2, 2, 3, 4, 3, 2, 2, 3, 2, 3, 4, 2, 3, 2, 2, 2, 4, 4, 2, 2, 3, 0, 2, 3, 4, 1, 3, 2, 4, 2, 0, 1, 1, 3, 0, 0, 0, 4, 1, 0, 3, 1, 1, 4, 2, 3, 2, 3, 2, 0, 3, 0, 0, 4, 0, 0, 4, 1, 0, 2, 2, 1, 1, 1, 0, 3, 1, 3, 4, 0, 2, 2, 1, 1, 3, 0, 3, 1, 3, 2, 2, 3, 0, 4, 2, 4, 2, 1, 3, 4, 1, 2, 3, 0, 3, 3, 1, 0, 1, 4, 4, 4, 1, 4, 0, 3, 1, 3, 2, 2, 4, 0, 3, 2, 3, 4, 1, 4, 3, 4, 1, 2, 0, 2, 0, 1, 2, 2, 2, 3, 1, 2, 4, 0, 3, 3, 1, 0, 0, 4, 2, 3, 3, 3, 1, 3, 1, 1, 4, 4, 2, 2, 4, 0, 1, 3, 3, 2, 3, 3, 3, 3, 3, 4, 2, 4, 0, 4, 4, 3, 1, 4, 3, 4, 2, 4, 3, 0, 2, 3, 2, 3, 1, 2, 0, 1, 2, 3, 2, 1, 3, 0, 3, 0, 0, 3, 3, 2, 1, 3, 3, 4, 4, 4, 4, 4, 1, 0, 3, 4, 2, 2, 1, 0, 3, 2, 0, 0, 2, 1, 3, 3, 4, 4, 2, 2, 0, 4, 3, 2, 3, 4, 3, 0, 4, 0, 4, 3, 4, 2, 3, 1, 0, 0, 3, 1, 2, 1, 2, 0, 4, 4, 2, 1, 3, 3, 0, 3, 0, 3, 1, 2, 1, 2, 3, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 3, 0, 1, 3, 1, 1, 1, 1, 1, 2, 2, 0, 3, 3, 4, 1, 4, 1, 1, 3, 4, 1, 2, 0, 2, 3, 1, 0, 3, 2, 4, 3, 1, 4, 4, 3, 0, 3, 4, 2, 1, 1, 1, 3, 0, 3, 3, 3, 4, 3, 4, 1, 1, 1, 4, 2, 2, 3, 3, 4, 2, 0, 4, 4, 1, 3, 2, 1, 2, 2, 1, 2, 4, 3, 3, 1, 4, 1, 3, 3, 3, 4, 2, 2, 0, 4, 4, 3, 2, 0, 4, 0, 4, 1, 2, 2, 2, 3, 1, 3, 1, 1, 3, 2, 2, 2, 4, 3, 0, 2, 0, 0, 3, 0, 1, 1, 4, 4, 1, 0, 2, 1, 2, 1, 1, 1, 1, 3, 0, 2, 3, 1, 3, 4, 3, 2, 2, 4, 2, 1, 0, 3, 1, 4, 2, 1, 0, 1]
pubkeycol1289 = [3, 2, 3, 4, 2, 2, 0, 2, 2, 1, 3, 4, 2, 1, 0, 0, 3, 1, 2, 4, 1, 0, 3, 0, 4, 3, 2, 2, 2, 4, 0, 1, 4, 1, 4, 1, 1, 0, 1, 2, 3, 2, 3, 1, 0, 0, 2, 3, 2, 0, 3, 2, 1, 3, 0, 2, 1, 1, 4, 3, 0, 0, 1, 0, 2, 2, 4, 3, 2, 2, 0, 3, 4, 4, 3, 0, 3, 2, 2, 0, 2, 1, 3, 3, 1, 2, 4, 3, 4, 0, 1, 0, 3, 4, 3, 0, 0, 3, 3, 0, 1, 3, 1, 4, 2, 1, 4, 3, 1, 4, 4, 2, 2, 3, 3, 0, 4, 1, 0, 4, 0, 4, 4, 3, 3, 2, 0, 4, 3, 0, 3, 4, 4, 2, 1, 2, 3, 2, 3, 1, 3, 4, 0, 1, 4, 1, 2, 4, 2, 1, 3, 4, 4, 3, 2, 4, 4, 4, 1, 4, 3, 4, 3, 1, 1, 1, 2, 1, 2, 2, 1, 4, 1, 0, 2, 0, 0, 4, 0, 0, 0, 2, 4, 2, 4, 4, 0, 3, 3, 1, 1, 2, 4, 2, 1, 1, 1, 4, 1, 1, 0, 1, 0, 2, 0, 1, 2, 4, 2, 0, 2, 0, 2, 0, 1, 3, 1, 2, 3, 2, 1, 3, 2, 2, 4, 2, 0, 3, 1, 3, 2, 3, 1, 4, 1, 1, 1, 3, 3, 0, 1, 4, 4, 4, 4, 2, 3, 4, 4, 1, 2, 3, 0, 2, 2, 3, 4, 4, 1, 3, 2, 3, 4, 1, 3, 4, 4, 3, 2, 4, 0, 2, 1, 2, 3, 4, 2, 4, 2, 3, 3, 4, 4, 3, 3, 4, 1, 2, 0, 1, 1, 2, 0, 4, 1, 1, 4, 2, 2, 3, 4, 4, 1, 1, 0, 2, 1, 4, 0, 0, 2, 4, 0, 3, 1, 1, 0, 3, 4, 3, 4, 3, 4, 2, 2, 3, 1, 1, 4, 1, 2, 3, 1, 2, 3, 4, 3, 2, 2, 0, 0, 2, 2, 4, 1, 2, 4, 1, 2, 1, 3, 3, 2, 0, 4, 3, 0, 1, 3, 0, 3, 3, 0, 0, 3, 4, 4, 3, 0, 4, 3, 3, 2, 3, 3, 3, 1, 0, 2, 2, 1, 4, 0, 4, 2, 1, 1, 3, 3, 1, 1, 3, 0, 1, 0, 4, 0, 2, 1, 1, 2, 3, 3, 1, 0, 4, 3, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 3, 3, 2, 4, 3, 1, 0, 0, 3, 3, 2, 0, 1, 4, 2, 3, 4, 2, 3, 3, 2, 0, 1, 3, 1, 3, 4, 2, 0, 3, 4, 1, 2, 0, 3, 4, 0, 3, 3, 2, 2, 4, 2, 4, 1, 0, 0, 1, 0, 4, 3, 2, 0, 3, 3, 4, 2, 4, 1, 2, 3, 3, 0, 4, 4, 0, 4, 2, 1, 2, 0, 4, 0, 4, 3, 4, 1, 3, 0, 2, 1, 0, 0, 3, 1, 0]
pubkeycol1290 = [3, 2, 4, 0, 4, 2, 2, 2, 1, 2, 4, 3, 3, 3, 1, 2, 1, 3, 1, 4, 3, 2, 1, 0, 1, 4, 3, 2, 4, 2, 4, 4, 3, 2, 3, 4, 1, 1, 0, 1, 2, 2, 3, 0, 2, 1, 3, 1, 1, 3, 4, 0, 4, 4, 1, 3, 3, 0, 4, 2, 4, 1, 3, 3, 2, 4, 2, 3, 1, 0, 0, 4, 0, 4, 1, 3, 4, 3, 4, 2, 1, 3, 3, 0, 2, 1, 0, 2, 3, 1, 3, 3, 4, 4, 3, 0, 0, 2, 1, 3, 0, 2, 1, 4, 3, 2, 3, 4, 2, 0, 4, 1, 4, 0, 1, 1, 1, 0, 0, 2, 0, 4, 0, 3, 1, 3, 3, 2, 0, 2, 2, 2, 4, 0, 0, 3, 3, 3, 4, 1, 1, 2, 1, 0, 1, 3, 4, 2, 4, 0, 0, 3, 1, 0, 2, 4, 0, 0, 2, 1, 4, 4, 4, 2, 0, 2, 3, 4, 1, 1, 2, 2, 1, 4, 0, 2, 1, 0, 2, 2, 4, 3, 2, 4, 3, 3, 4, 2, 4, 1, 0, 2, 4, 0, 3, 0, 3, 4, 4, 0, 2, 1, 3, 4, 4, 0, 1, 4, 1, 3, 2, 3, 1, 0, 2, 2, 3, 2, 1, 4, 4, 3, 0, 1, 1, 2, 1, 4, 1, 1, 0, 2, 3, 4, 1, 2, 2, 1, 2, 4, 4, 0, 2, 2, 2, 3, 2, 3, 2, 4, 4, 0, 1, 3, 1, 4, 4, 1, 3, 0, 3, 1, 0, 1, 0, 4, 4, 0, 2, 3, 0, 2, 0, 4, 4, 3, 0, 1, 0, 2, 1, 1, 1, 3, 4, 3, 1, 4, 1, 1, 1, 4, 4, 1, 4, 3, 2, 1, 2, 4, 3, 2, 4, 3, 4, 4, 4, 1, 4, 3, 0, 4, 0, 2, 4, 3, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 3, 1, 1, 3, 1, 3, 4, 2, 3, 3, 4, 4, 4, 1, 4, 1, 0, 2, 3, 4, 3, 1, 0, 3, 0, 4, 0, 3, 2, 4, 2, 4, 2, 1, 1, 3, 1, 2, 2, 1, 4, 3, 0, 4, 2, 0, 4, 2, 3, 1, 3, 0, 4, 3, 4, 3, 2, 2, 2, 1, 3, 4, 4, 1, 0, 3, 0, 3, 3, 0, 1, 4, 4, 2, 0, 4, 3, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 3, 3, 3, 3, 0, 3, 3, 3, 0, 4, 2, 2, 2, 3, 1, 2, 4, 3, 1, 4, 2, 4, 3, 0, 4, 1, 2, 3, 0, 2, 4, 4, 4, 1, 3, 0, 0, 1, 0, 4, 4, 4, 1, 1, 4, 3, 1, 4, 1, 4, 1, 0, 3, 2, 0, 2, 2, 1, 1, 4, 4, 2, 4, 2, 2, 0, 1, 2, 0, 0, 4, 0, 0, 4, 2, 1, 3, 0, 2, 1, 4, 4, 3, 3, 4, 1]
pubkeycol1291 = [0, 3, 1, 4, 0, 3, 3, 3, 2, 4, 0, 2, 2, 1, 2, 4, 2, 1, 4, 4, 3, 2, 4, 3, 1, 1, 3, 4, 3, 3, 4, 3, 3, 4, 0, 3, 1, 4, 1, 4, 0, 1, 4, 0, 1, 1, 0, 0, 0, 4, 0, 3, 0, 0, 0, 1, 1, 2, 4, 4, 1, 3, 1, 2, 3, 0, 3, 1, 1, 4, 2, 1, 4, 4, 1, 2, 1, 0, 1, 3, 4, 1, 2, 1, 2, 4, 0, 0, 4, 0, 3, 4, 1, 4, 4, 1, 4, 2, 3, 2, 0, 2, 3, 0, 1, 3, 2, 3, 1, 0, 2, 0, 3, 2, 3, 4, 2, 0, 4, 0, 4, 3, 4, 2, 2, 3, 3, 2, 0, 4, 3, 3, 0, 0, 1, 3, 3, 2, 0, 3, 0, 3, 4, 3, 4, 4, 4, 3, 1, 2, 1, 0, 0, 3, 0, 4, 1, 0, 1, 1, 0, 3, 4, 4, 3, 0, 3, 4, 4, 4, 2, 3, 1, 1, 1, 2, 4, 1, 3, 1, 0, 0, 2, 3, 3, 4, 0, 0, 4, 3, 2, 2, 2, 0, 0, 3, 2, 2, 2, 1, 2, 1, 2, 0, 3, 3, 1, 1, 2, 4, 1, 1, 4, 4, 3, 3, 1, 2, 1, 4, 2, 2, 0, 4, 4, 2, 2, 3, 1, 2, 4, 1, 3, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 3, 4, 2, 3, 4, 3, 2, 4, 4, 1, 2, 2, 1, 4, 4, 1, 4, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 3, 1, 2, 4, 0, 2, 3, 0, 0, 3, 4, 4, 4, 4, 1, 4, 1, 4, 4, 3, 4, 2, 1, 3, 3, 2, 4, 0, 2, 0, 2, 4, 0, 4, 3, 1, 0, 0, 2, 2, 4, 3, 4, 0, 3, 1, 2, 2, 0, 2, 0, 2, 1, 4, 1, 3, 4, 4, 3, 1, 1, 2, 3, 2, 3, 4, 1, 3, 1, 3, 2, 2, 3, 4, 3, 4, 2, 1, 3, 3, 3, 3, 1, 0, 2, 3, 4, 0, 2, 1, 2, 2, 1, 3, 4, 4, 3, 3, 2, 1, 2, 0, 1, 0, 3, 3, 3, 4, 4, 0, 3, 3, 4, 2, 0, 2, 1, 3, 3, 2, 1, 3, 4, 2, 1, 3, 1, 3, 0, 2, 4, 0, 1, 4, 1, 3, 3, 3, 4, 3, 4, 1, 1, 3, 2, 3, 1, 3, 1, 1, 0, 1, 2, 4, 4, 2, 4, 1, 1, 3, 1, 1, 3, 3, 3, 4, 0, 0, 2, 1, 3, 3, 4, 3, 2, 1, 0, 3, 4, 1, 4, 2, 1, 3, 0, 3, 0, 1, 4, 2, 3, 4, 0, 2, 1, 2, 0, 4, 0, 1, 1, 1, 0, 4, 2, 1, 3, 0, 4, 0, 2, 1, 2, 2, 3, 2, 1, 3, 4, 4, 0, 4, 2, 1, 3, 2, 3, 2, 0, 1, 0, 2, 3, 2]
pubkeycol1292 = [4, 2, 4, 3, 3, 0, 4, 1, 3, 1, 3, 3, 4, 4, 2, 4, 4, 1, 3, 1, 4, 3, 2, 4, 2, 2, 3, 3, 2, 4, 1, 4, 0, 2, 1, 0, 2, 2, 3, 4, 4, 1, 2, 2, 4, 0, 0, 3, 2, 1, 3, 3, 4, 0, 1, 1, 3, 2, 1, 1, 3, 2, 0, 3, 3, 4, 3, 3, 3, 4, 0, 0, 3, 4, 0, 2, 2, 3, 3, 4, 0, 4, 1, 4, 0, 0, 0, 3, 0, 1, 4, 3, 2, 1, 1, 3, 3, 0, 3, 1, 4, 4, 1, 3, 2, 2, 2, 1, 0, 1, 4, 3, 3, 3, 3, 3, 2, 4, 0, 0, 2, 1, 0, 4, 1, 0, 0, 2, 3, 2, 1, 1, 4, 1, 3, 4, 3, 4, 2, 1, 1, 4, 0, 0, 3, 1, 3, 2, 1, 2, 2, 3, 1, 2, 4, 1, 2, 2, 3, 1, 3, 0, 0, 0, 3, 2, 1, 3, 0, 0, 3, 1, 2, 1, 0, 1, 2, 1, 0, 4, 2, 4, 3, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 4, 4, 3, 4, 2, 3, 1, 0, 1, 3, 4, 2, 3, 2, 1, 0, 3, 4, 4, 3, 0, 4, 3, 0, 3, 3, 4, 0, 1, 3, 3, 3, 0, 3, 4, 0, 4, 3, 0, 0, 3, 3, 2, 2, 0, 2, 4, 2, 3, 2, 1, 2, 2, 4, 3, 3, 2, 4, 0, 0, 0, 2, 1, 3, 3, 3, 0, 3, 2, 2, 2, 0, 4, 2, 1, 1, 1, 0, 4, 2, 4, 0, 3, 2, 4, 4, 1, 2, 0, 4, 0, 3, 2, 3, 1, 0, 4, 2, 0, 3, 0, 2, 3, 3, 1, 1, 4, 4, 2, 1, 0, 3, 3, 3, 1, 2, 2, 4, 0, 3, 2, 1, 2, 1, 2, 3, 3, 0, 0, 4, 4, 0, 1, 0, 0, 0, 3, 2, 2, 3, 1, 1, 3, 3, 4, 2, 4, 0, 4, 0, 4, 0, 4, 2, 1, 0, 4, 1, 2, 0, 2, 4, 1, 1, 3, 0, 0, 2, 0, 0, 0, 0, 2, 4, 2, 0, 0, 3, 0, 3, 0, 3, 3, 1, 4, 1, 2, 4, 2, 0, 2, 1, 1, 2, 1, 4, 1, 1, 3, 2, 4, 2, 3, 2, 1, 1, 3, 4, 3, 2, 3, 3, 3, 2, 3, 0, 3, 2, 1, 2, 3, 4, 4, 3, 2, 4, 2, 0, 4, 4, 1, 1, 0, 3, 0, 0, 2, 3, 1, 1, 1, 2, 3, 4, 3, 4, 2, 2, 2, 1, 4, 1, 4, 2, 1, 2, 0, 2, 4, 3, 0, 4, 2, 1, 0, 4, 1, 1, 4, 1, 1, 2, 2, 1, 1, 1, 2, 3, 0, 4, 0, 1, 1, 3, 4, 0, 2, 4, 1, 0, 1, 2, 4, 4, 2, 0, 0, 4, 4, 3, 4, 4, 2, 1, 1, 4, 0, 4, 1, 0, 3, 3]
pubkeycol1293 = [0, 2, 0, 1, 0, 1, 3, 3, 0, 3, 1, 3, 3, 2, 3, 0, 1, 4, 2, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 2, 0, 2, 1, 3, 4, 2, 2, 0, 3, 2, 2, 4, 0, 4, 4, 4, 0, 3, 1, 1, 1, 1, 2, 4, 3, 4, 0, 1, 2, 3, 1, 4, 1, 0, 2, 3, 4, 4, 1, 4, 0, 3, 0, 0, 3, 2, 1, 1, 0, 2, 2, 4, 1, 1, 0, 3, 4, 0, 2, 4, 3, 0, 4, 4, 0, 3, 3, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 4, 0, 3, 2, 4, 3, 3, 1, 2, 2, 4, 3, 3, 0, 0, 4, 0, 1, 0, 1, 4, 3, 1, 3, 0, 1, 0, 4, 2, 4, 1, 0, 2, 1, 0, 4, 4, 3, 3, 1, 1, 2, 1, 2, 2, 4, 0, 1, 4, 0, 4, 3, 4, 1, 0, 4, 1, 3, 0, 4, 0, 2, 4, 4, 2, 2, 1, 1, 4, 4, 1, 3, 2, 3, 4, 2, 0, 1, 4, 1, 4, 3, 4, 0, 4, 2, 4, 1, 1, 3, 3, 3, 3, 3, 3, 4, 1, 2, 3, 0, 2, 4, 0, 3, 3, 4, 4, 3, 3, 0, 4, 0, 2, 4, 4, 3, 4, 0, 2, 1, 0, 0, 0, 2, 3, 3, 1, 1, 0, 2, 0, 0, 3, 4, 0, 0, 4, 1, 4, 4, 3, 3, 0, 2, 1, 4, 1, 4, 3, 3, 2, 2, 0, 2, 1, 4, 1, 4, 3, 2, 2, 1, 1, 2, 0, 1, 1, 3, 3, 0, 2, 1, 0, 1, 3, 0, 4, 3, 2, 4, 0, 4, 3, 3, 2, 3, 4, 3, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 4, 2, 0, 0, 0, 1, 0, 4, 3, 1, 1, 0, 2, 1, 3, 3, 1, 2, 1, 1, 2, 2, 2, 0, 4, 0, 3, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 4, 0, 1, 4, 3, 4, 0, 1, 0, 1, 2, 0, 1, 0, 0, 3, 0, 1, 0, 2, 3, 4, 0, 3, 1, 2, 2, 3, 0, 4, 0, 1, 2, 4, 0, 1, 2, 1, 0, 4, 0, 1, 4, 0, 4, 1, 3, 4, 0, 2, 2, 1, 3, 0, 2, 0, 0, 4, 1, 2, 4, 1, 2, 4, 2, 0, 1, 1, 4, 1, 4, 3, 0, 3, 2, 4, 4, 4, 2, 3, 1, 0, 2, 0, 3, 0, 1, 1, 2, 3, 2, 1, 3, 2, 3, 4, 4, 3, 4, 3, 3, 4, 4, 4, 1, 2, 2, 1, 4, 0, 1, 1, 0, 2, 3, 0, 2, 0, 2, 2, 1, 3, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 3, 1, 2, 3, 1, 2, 0, 0, 0, 0, 4, 2, 1, 1, 1, 1, 1, 3, 3, 4, 0, 0, 1, 3, 3, 1, 1]
pubkeycol1294 = [0, 2, 3, 4, 0, 1, 0, 4, 2, 4, 0, 4, 3, 0, 2, 1, 3, 0, 1, 3, 3, 3, 0, 0, 3, 4, 4, 4, 2, 2, 1, 1, 4, 0, 3, 2, 2, 1, 3, 3, 1, 3, 3, 4, 0, 0, 3, 2, 3, 2, 0, 0, 0, 4, 4, 0, 0, 2, 2, 1, 2, 0, 3, 4, 1, 1, 2, 3, 4, 1, 1, 4, 3, 3, 0, 1, 2, 4, 4, 1, 4, 3, 2, 0, 3, 1, 4, 2, 3, 4, 2, 3, 2, 4, 2, 3, 1, 1, 0, 3, 4, 1, 1, 0, 4, 1, 4, 0, 0, 0, 2, 2, 1, 2, 0, 1, 3, 2, 0, 4, 4, 3, 2, 0, 3, 4, 3, 4, 3, 0, 1, 1, 2, 3, 2, 0, 3, 4, 1, 2, 2, 4, 0, 1, 2, 0, 0, 0, 1, 4, 0, 2, 4, 4, 3, 1, 2, 3, 4, 2, 1, 3, 1, 0, 0, 0, 3, 1, 4, 2, 1, 2, 2, 4, 2, 0, 4, 3, 0, 3, 2, 4, 0, 1, 2, 2, 3, 0, 1, 4, 4, 2, 4, 1, 4, 3, 3, 2, 1, 1, 4, 2, 2, 1, 0, 3, 2, 4, 3, 3, 0, 3, 1, 4, 1, 3, 3, 4, 4, 0, 4, 0, 4, 2, 2, 1, 2, 1, 4, 0, 1, 0, 2, 2, 4, 2, 2, 3, 2, 3, 1, 0, 3, 0, 4, 3, 4, 3, 0, 0, 4, 4, 2, 4, 4, 1, 1, 2, 2, 0, 0, 0, 2, 3, 3, 4, 3, 4, 0, 0, 0, 3, 3, 1, 1, 2, 4, 4, 4, 2, 0, 0, 3, 4, 3, 4, 2, 0, 1, 2, 1, 0, 3, 3, 1, 1, 2, 1, 0, 4, 0, 2, 3, 4, 0, 2, 4, 4, 3, 3, 3, 1, 0, 4, 2, 3, 1, 1, 0, 2, 3, 4, 0, 3, 2, 4, 2, 2, 2, 0, 0, 0, 1, 3, 4, 3, 0, 1, 2, 0, 2, 3, 1, 1, 1, 3, 2, 0, 2, 2, 2, 4, 0, 0, 4, 3, 1, 3, 3, 3, 2, 2, 3, 3, 4, 4, 0, 2, 4, 0, 3, 2, 3, 3, 2, 4, 2, 1, 1, 1, 4, 4, 2, 1, 2, 1, 1, 3, 4, 3, 0, 0, 1, 1, 3, 4, 2, 0, 3, 3, 4, 2, 1, 4, 3, 3, 0, 4, 4, 2, 4, 3, 2, 2, 0, 1, 3, 4, 2, 3, 4, 0, 2, 3, 1, 4, 0, 2, 1, 3, 4, 0, 3, 1, 1, 4, 2, 4, 4, 2, 0, 4, 4, 3, 1, 1, 0, 2, 1, 2, 2, 4, 0, 0, 2, 0, 3, 0, 0, 0, 4, 4, 4, 4, 0, 1, 1, 3, 2, 2, 3, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 4, 0, 2, 4, 4, 2, 0, 3, 0, 4, 2, 1, 2, 1, 4, 1, 2, 0, 1, 2, 2, 0]
pubkeycol1295 = [4, 0, 3, 0, 0, 0, 4, 3, 2, 0, 3, 3, 0, 0, 3, 3, 2, 2, 1, 4, 3, 4, 4, 0, 4, 4, 4, 0, 3, 2, 4, 2, 3, 2, 3, 3, 1, 4, 4, 0, 0, 3, 2, 4, 2, 4, 1, 0, 2, 2, 4, 3, 2, 4, 0, 3, 1, 0, 4, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 4, 2, 1, 4, 4, 3, 2, 3, 3, 0, 1, 2, 3, 2, 0, 1, 4, 2, 3, 1, 4, 2, 2, 1, 1, 3, 3, 1, 4, 1, 1, 2, 1, 1, 0, 2, 0, 4, 4, 2, 1, 4, 3, 0, 3, 2, 4, 0, 2, 1, 4, 3, 4, 0, 2, 4, 1, 0, 0, 3, 4, 2, 4, 4, 0, 0, 3, 4, 4, 3, 2, 3, 4, 2, 2, 1, 2, 0, 1, 4, 3, 1, 4, 3, 3, 2, 3, 1, 4, 4, 3, 3, 4, 1, 1, 2, 3, 3, 0, 4, 1, 0, 1, 4, 2, 2, 0, 1, 1, 1, 3, 1, 1, 4, 1, 2, 3, 2, 4, 1, 1, 2, 4, 0, 4, 2, 3, 3, 2, 4, 3, 4, 1, 3, 1, 0, 3, 3, 3, 4, 0, 3, 3, 4, 0, 3, 1, 3, 2, 3, 1, 0, 0, 0, 1, 4, 1, 1, 1, 1, 3, 1, 1, 0, 2, 0, 3, 4, 3, 2, 4, 3, 0, 0, 4, 2, 2, 1, 1, 2, 1, 3, 0, 0, 1, 3, 4, 1, 4, 0, 1, 4, 4, 4, 0, 4, 4, 3, 4, 1, 1, 1, 0, 1, 0, 2, 1, 1, 4, 2, 0, 3, 2, 3, 1, 0, 4, 0, 3, 0, 2, 2, 0, 2, 4, 1, 1, 4, 2, 3, 0, 2, 0, 4, 4, 0, 4, 3, 2, 2, 4, 1, 1, 4, 1, 1, 0, 1, 0, 3, 4, 1, 4, 1, 1, 4, 0, 1, 2, 0, 1, 3, 4, 3, 1, 1, 3, 0, 1, 3, 2, 1, 3, 3, 0, 1, 3, 3, 0, 4, 2, 1, 4, 0, 1, 0, 3, 1, 3, 4, 1, 0, 3, 4, 1, 2, 1, 1, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 4, 0, 2, 0, 4, 4, 1, 2, 0, 4, 3, 2, 1, 2, 3, 0, 4, 4, 3, 3, 1, 0, 2, 3, 0, 0, 1, 3, 3, 2, 0, 0, 1, 0, 0, 4, 1, 2, 1, 1, 3, 4, 0, 3, 4, 0, 0, 3, 0, 2, 2, 3, 3, 4, 3, 0, 2, 2, 4, 4, 0, 4, 1, 4, 2, 1, 2, 2, 4, 1, 2, 1, 1, 3, 0, 1, 0, 3, 2, 0, 1, 2, 2, 1, 4, 3, 2, 3, 0, 2, 1, 2, 4, 2, 1, 4, 2, 3, 0, 1, 2, 2, 4, 2, 0, 0, 1, 2, 2, 2, 1, 0]
pubkeycol1296 = [1, 0, 3, 1, 0, 4, 0, 1, 2, 1, 2, 4, 1, 0, 4, 2, 1, 0, 2, 2, 3, 2, 3, 0, 2, 4, 3, 1, 0, 3, 2, 0, 3, 3, 1, 3, 0, 3, 3, 1, 4, 0, 3, 2, 3, 2, 0, 3, 3, 1, 4, 2, 0, 4, 0, 0, 3, 4, 3, 0, 4, 1, 0, 4, 1, 2, 0, 3, 4, 2, 1, 0, 1, 1, 0, 0, 3, 3, 0, 3, 1, 0, 4, 4, 1, 2, 3, 0, 2, 0, 2, 4, 0, 2, 0, 2, 4, 1, 0, 0, 2, 3, 1, 4, 4, 1, 4, 2, 2, 2, 2, 4, 4, 3, 2, 4, 4, 1, 4, 1, 0, 2, 0, 2, 1, 1, 0, 4, 0, 2, 1, 1, 1, 2, 2, 0, 3, 4, 2, 4, 1, 2, 3, 4, 2, 2, 4, 3, 3, 3, 0, 3, 0, 3, 3, 4, 0, 2, 3, 3, 3, 2, 0, 0, 2, 3, 0, 3, 4, 3, 1, 4, 2, 4, 1, 2, 3, 4, 0, 0, 0, 1, 3, 1, 1, 3, 2, 0, 2, 4, 0, 4, 3, 0, 2, 1, 2, 3, 0, 4, 0, 4, 4, 2, 4, 4, 2, 3, 1, 3, 4, 0, 0, 1, 2, 3, 0, 4, 2, 3, 3, 1, 0, 0, 3, 1, 1, 2, 3, 1, 4, 0, 1, 4, 4, 3, 4, 4, 0, 1, 2, 2, 0, 0, 1, 2, 4, 4, 1, 4, 1, 0, 0, 2, 1, 0, 4, 1, 1, 1, 3, 3, 0, 1, 4, 3, 4, 3, 4, 0, 1, 1, 2, 0, 0, 3, 0, 1, 4, 2, 1, 4, 3, 0, 0, 3, 1, 3, 1, 3, 3, 1, 4, 2, 2, 0, 2, 4, 0, 1, 1, 1, 3, 3, 3, 1, 2, 1, 4, 1, 1, 2, 4, 4, 4, 2, 4, 2, 3, 3, 3, 0, 1, 0, 4, 4, 1, 4, 1, 0, 2, 1, 1, 1, 4, 4, 0, 0, 2, 0, 4, 2, 4, 1, 0, 3, 1, 0, 3, 0, 1, 1, 0, 1, 3, 2, 4, 2, 3, 2, 4, 0, 0, 1, 1, 0, 1, 4, 0, 1, 2, 4, 2, 2, 0, 1, 3, 1, 4, 0, 4, 2, 3, 3, 4, 2, 4, 4, 3, 4, 1, 3, 2, 0, 1, 1, 1, 2, 4, 3, 4, 0, 4, 1, 1, 2, 0, 1, 4, 4, 4, 2, 0, 1, 1, 3, 2, 4, 0, 0, 1, 1, 0, 4, 4, 0, 0, 1, 4, 2, 0, 1, 4, 0, 4, 0, 0, 2, 2, 4, 2, 4, 4, 1, 1, 3, 1, 0, 3, 3, 3, 2, 2, 0, 2, 1, 4, 3, 3, 1, 0, 2, 1, 2, 1, 0, 1, 4, 2, 2, 3, 0, 3, 1, 0, 3, 3, 1, 3, 2, 1, 1, 3, 0, 0, 3, 1, 1, 0, 3, 4, 1, 3, 4, 4, 4, 4, 3, 0, 4, 0, 0, 4, 0, 3]
pubkeycol1297 = [1, 1, 3, 4, 4, 0, 3, 4, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 4, 1, 0, 2, 1, 3, 2, 0, 0, 2, 3, 0, 3, 2, 2, 4, 2, 4, 2, 4, 2, 0, 4, 3, 3, 1, 2, 2, 0, 4, 1, 2, 1, 4, 3, 2, 0, 2, 0, 3, 4, 3, 2, 4, 2, 3, 1, 1, 0, 1, 4, 1, 4, 4, 2, 1, 4, 1, 2, 0, 2, 0, 4, 1, 3, 0, 3, 4, 2, 4, 2, 3, 1, 3, 1, 2, 4, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 4, 1, 0, 3, 1, 1, 4, 4, 4, 0, 2, 4, 1, 3, 4, 3, 1, 1, 3, 0, 2, 3, 4, 3, 3, 1, 3, 1, 0, 1, 4, 3, 3, 1, 1, 1, 0, 2, 2, 4, 1, 0, 1, 2, 4, 0, 2, 1, 1, 2, 3, 4, 2, 2, 1, 4, 0, 4, 2, 0, 0, 2, 0, 4, 4, 2, 3, 4, 1, 0, 2, 0, 0, 1, 0, 2, 2, 4, 4, 2, 3, 1, 3, 2, 0, 2, 3, 3, 0, 3, 2, 2, 3, 0, 4, 1, 2, 0, 4, 4, 4, 1, 1, 1, 2, 3, 2, 3, 2, 3, 4, 4, 3, 2, 3, 4, 1, 0, 2, 4, 0, 0, 4, 2, 0, 0, 4, 2, 2, 4, 0, 4, 3, 0, 2, 4, 3, 1, 0, 1, 4, 1, 4, 1, 1, 4, 3, 0, 4, 3, 1, 1, 4, 4, 2, 1, 0, 4, 1, 0, 2, 4, 1, 1, 1, 0, 2, 2, 3, 4, 2, 4, 2, 3, 2, 0, 4, 4, 4, 1, 4, 0, 2, 3, 0, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 0, 1, 1, 2, 3, 3, 1, 3, 2, 3, 1, 1, 0, 0, 0, 0, 1, 1, 3, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 3, 2, 2, 3, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 3, 1, 0, 0, 3, 0, 3, 2, 4, 3, 2, 3, 3, 0, 3, 1, 4, 1, 4, 1, 2, 3, 0, 0, 3, 4, 0, 1, 3, 2, 3, 4, 2, 3, 0, 2, 4, 1, 1, 4, 0, 4, 3, 1, 4, 4, 3, 2, 2, 3, 0, 2, 0, 2, 1, 0, 4, 2, 2, 3, 0, 4, 1, 3, 1, 1, 4, 3, 2, 4, 4, 3, 3, 3, 4, 3, 4, 0, 1, 2, 2, 3, 0, 2, 3, 4, 2, 3, 1, 4, 1, 0, 0, 3, 4, 3, 2, 0, 4, 3, 4, 0, 0, 1, 3, 2, 0, 1, 4, 0, 3, 1, 4, 1, 4, 3, 0, 4, 0, 1, 3, 3, 3, 1, 3, 0, 1, 3, 2, 4, 4, 2, 2, 3, 4, 0, 3, 1, 3, 4, 4, 2, 1, 1, 2, 1, 2, 0, 3, 3, 2, 3, 2, 0, 0, 4, 0, 2, 4, 0]
pubkeycol1298 = [1, 2, 4, 1, 3, 1, 2, 3, 0, 2, 1, 3, 4, 1, 2, 2, 2, 4, 1, 2, 1, 1, 2, 0, 1, 3, 2, 4, 4, 4, 2, 4, 3, 1, 3, 3, 2, 0, 4, 0, 1, 2, 0, 0, 1, 0, 1, 0, 3, 0, 3, 1, 1, 3, 3, 0, 0, 2, 1, 3, 2, 1, 4, 2, 0, 2, 4, 4, 0, 0, 2, 0, 1, 2, 2, 4, 4, 1, 4, 2, 4, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 0, 4, 1, 4, 1, 4, 4, 4, 4, 3, 4, 3, 4, 4, 1, 3, 4, 1, 1, 1, 2, 0, 4, 2, 1, 0, 0, 4, 1, 2, 4, 0, 2, 0, 2, 4, 0, 2, 0, 2, 2, 4, 3, 2, 1, 0, 0, 4, 2, 2, 2, 3, 1, 0, 4, 1, 4, 3, 1, 2, 4, 2, 1, 0, 1, 1, 0, 3, 4, 4, 4, 2, 4, 2, 2, 0, 2, 2, 2, 2, 1, 2, 3, 2, 2, 1, 1, 0, 1, 4, 1, 3, 2, 4, 3, 2, 1, 3, 4, 2, 2, 3, 2, 2, 4, 3, 3, 1, 2, 0, 4, 3, 2, 1, 2, 3, 3, 2, 1, 4, 3, 4, 3, 0, 1, 3, 3, 0, 2, 3, 4, 1, 0, 3, 3, 2, 3, 1, 2, 0, 3, 2, 0, 4, 3, 3, 1, 0, 3, 0, 4, 4, 0, 3, 2, 4, 4, 0, 2, 4, 1, 1, 4, 0, 1, 3, 3, 1, 0, 3, 2, 0, 4, 2, 4, 3, 0, 3, 0, 0, 4, 2, 2, 4, 2, 4, 1, 1, 0, 3, 4, 4, 1, 4, 2, 0, 4, 1, 4, 2, 2, 0, 0, 1, 0, 4, 0, 3, 3, 1, 3, 2, 2, 4, 2, 3, 2, 2, 0, 4, 0, 4, 1, 3, 3, 3, 1, 3, 2, 1, 3, 2, 3, 2, 2, 0, 2, 2, 0, 2, 3, 3, 2, 4, 1, 4, 4, 3, 4, 3, 3, 2, 2, 0, 0, 4, 2, 3, 1, 1, 1, 0, 4, 3, 4, 2, 0, 2, 3, 1, 3, 3, 4, 2, 1, 3, 1, 4, 1, 3, 0, 2, 3, 2, 2, 1, 1, 2, 3, 4, 2, 0, 3, 3, 0, 3, 2, 1, 4, 1, 3, 4, 0, 0, 2, 0, 3, 2, 2, 2, 1, 3, 3, 4, 1, 0, 1, 2, 2, 4, 1, 2, 1, 2, 2, 2, 2, 2, 4, 1, 4, 3, 1, 0, 0, 0, 4, 4, 3, 4, 1, 2, 2, 3, 2, 2, 2, 1, 3, 4, 0, 1, 4, 4, 3, 3, 2, 3, 2, 4, 2, 3, 0, 0, 4, 4, 4, 4, 4, 0, 1, 4, 0, 2, 4, 1, 3, 4, 4, 1, 4, 0, 4, 2, 2, 4, 0, 0, 4, 2, 3, 2, 2, 1, 3, 0, 4, 0, 2, 0, 4, 0, 3, 3, 3, 3, 0, 2, 2, 0, 0, 1, 3, 2]
pubkeycol1299 = [4, 2, 1, 1, 2, 3, 3, 0, 4, 2, 2, 3, 0, 3, 1, 4, 1, 2, 4, 3, 1, 1, 4, 3, 0, 2, 2, 4, 2, 3, 2, 2, 1, 0, 3, 4, 1, 1, 2, 3, 0, 2, 4, 1, 2, 4, 2, 4, 1, 1, 3, 3, 1, 3, 0, 2, 0, 3, 1, 0, 1, 0, 2, 0, 3, 3, 4, 4, 3, 0, 3, 3, 4, 4, 2, 1, 0, 1, 1, 4, 4, 3, 1, 1, 4, 3, 1, 0, 4, 3, 1, 3, 3, 0, 2, 3, 4, 4, 4, 2, 2, 1, 2, 2, 0, 2, 4, 3, 0, 4, 4, 4, 4, 2, 0, 1, 2, 1, 2, 2, 0, 4, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 1, 3, 0, 3, 4, 3, 2, 4, 1, 1, 1, 4, 4, 3, 0, 0, 1, 2, 1, 2, 0, 1, 4, 3, 3, 3, 4, 3, 1, 0, 2, 1, 4, 2, 1, 3, 2, 3, 2, 1, 0, 4, 1, 0, 0, 0, 4, 4, 4, 2, 4, 3, 0, 4, 1, 0, 4, 0, 1, 3, 4, 1, 2, 3, 0, 4, 0, 1, 0, 4, 1, 3, 1, 3, 3, 3, 0, 3, 4, 0, 3, 0, 3, 4, 3, 1, 0, 1, 4, 1, 3, 1, 3, 2, 3, 4, 0, 1, 0, 1, 4, 4, 2, 3, 3, 1, 0, 4, 2, 3, 0, 1, 2, 2, 0, 0, 1, 0, 3, 0, 0, 4, 0, 2, 3, 1, 1, 3, 4, 4, 2, 1, 1, 0, 4, 2, 2, 1, 0, 4, 1, 0, 4, 1, 2, 0, 2, 1, 4, 0, 4, 4, 1, 4, 1, 0, 2, 2, 2, 4, 0, 1, 0, 2, 4, 1, 4, 3, 2, 0, 3, 1, 0, 2, 4, 3, 1, 1, 3, 0, 4, 4, 2, 3, 2, 2, 4, 3, 2, 2, 2, 1, 2, 2, 2, 3, 3, 4, 2, 1, 0, 4, 2, 2, 4, 1, 2, 4, 0, 2, 4, 1, 3, 2, 2, 0, 2, 1, 4, 0, 4, 1, 3, 4, 0, 4, 4, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 3, 3, 0, 0, 2, 2, 0, 0, 2, 4, 0, 3, 0, 4, 2, 0, 1, 2, 3, 4, 0, 1, 2, 3, 3, 2, 0, 3, 1, 1, 0, 1, 3, 0, 3, 3, 4, 3, 4, 1, 4, 3, 1, 1, 2, 2, 0, 4, 3, 4, 2, 1, 0, 0, 1, 4, 0, 1, 4, 2, 1, 1, 2, 4, 2, 1, 1, 4, 1, 0, 4, 2, 1, 3, 1, 3, 2, 4, 1, 0, 3, 0, 3, 0, 2, 0, 0, 2, 4, 0, 3, 0, 3, 2, 1, 1, 3, 0, 1, 4, 4, 0, 1, 3, 3, 1, 1, 1, 1, 2, 1, 3, 2, 1, 2, 1, 0, 4, 3, 4, 3, 1, 1, 3, 1, 0, 2, 1, 4]
pubkeycol1300 = [4, 1, 3, 4, 4, 0, 4, 0, 2, 3, 2, 1, 3, 3, 1, 1, 1, 4, 4, 2, 3, 2, 3, 3, 4, 3, 0, 2, 3, 0, 3, 0, 3, 1, 0, 4, 1, 1, 4, 4, 2, 0, 0, 3, 1, 0, 1, 3, 0, 3, 2, 2, 4, 3, 3, 4, 0, 4, 3, 1, 2, 2, 1, 0, 0, 2, 4, 2, 1, 3, 3, 4, 3, 1, 3, 0, 1, 2, 4, 1, 2, 3, 2, 4, 3, 4, 4, 4, 3, 0, 1, 0, 0, 4, 1, 0, 2, 0, 0, 0, 3, 1, 1, 0, 3, 0, 4, 1, 3, 4, 4, 3, 4, 0, 1, 4, 3, 1, 0, 4, 0, 4, 1, 2, 1, 0, 0, 1, 4, 4, 4, 2, 2, 2, 4, 2, 3, 4, 1, 1, 2, 0, 3, 4, 0, 0, 0, 2, 2, 4, 0, 0, 2, 1, 2, 3, 2, 1, 4, 3, 3, 4, 1, 3, 2, 4, 0, 4, 4, 0, 0, 1, 2, 0, 1, 3, 3, 1, 2, 1, 2, 0, 2, 2, 0, 3, 4, 0, 4, 4, 1, 3, 0, 4, 4, 4, 4, 2, 3, 2, 3, 4, 2, 2, 3, 3, 4, 1, 1, 4, 3, 4, 4, 3, 4, 0, 3, 1, 3, 0, 2, 4, 3, 2, 3, 3, 4, 4, 3, 0, 2, 1, 3, 1, 4, 0, 3, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 4, 2, 3, 0, 2, 0, 3, 2, 0, 0, 0, 0, 1, 3, 0, 1, 4, 4, 1, 3, 2, 1, 1, 2, 2, 0, 4, 0, 0, 1, 2, 4, 1, 2, 0, 2, 4, 3, 4, 0, 1, 1, 0, 4, 0, 3, 0, 4, 3, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 3, 1, 4, 3, 3, 4, 4, 2, 0, 2, 0, 2, 1, 0, 4, 1, 1, 2, 1, 1, 3, 2, 0, 2, 0, 2, 1, 0, 4, 1, 4, 4, 2, 1, 1, 0, 0, 1, 2, 3, 1, 2, 1, 4, 4, 2, 0, 3, 4, 4, 0, 1, 2, 1, 2, 3, 1, 3, 1, 3, 3, 4, 0, 2, 3, 1, 0, 3, 4, 1, 3, 1, 3, 4, 2, 3, 1, 2, 2, 1, 2, 2, 3, 2, 4, 0, 0, 0, 0, 0, 2, 4, 0, 1, 3, 3, 0, 4, 1, 1, 3, 4, 3, 4, 3, 4, 0, 1, 0, 3, 0, 4, 2, 4, 3, 0, 1, 4, 0, 2, 0, 1, 4, 2, 3, 0, 3, 4, 3, 4, 1, 4, 4, 1, 2, 4, 3, 1, 0, 2, 3, 0, 3, 2, 1, 0, 2, 3, 3, 3, 2, 3, 4, 4, 0, 4, 3, 0, 1, 1, 1, 1, 4, 2, 4, 4, 4, 4, 2, 3, 0, 3, 3, 4, 4, 4, 0, 4, 1, 2, 0, 1, 1, 0, 2, 4, 2]
pubkeycol1301 = [1, 0, 3, 0, 2, 3, 4, 0, 2, 4, 2, 1, 4, 0, 2, 1, 1, 3, 3, 4, 1, 2, 3, 0, 3, 4, 3, 2, 3, 2, 0, 0, 3, 0, 0, 4, 3, 0, 1, 3, 2, 3, 1, 2, 2, 3, 1, 0, 1, 1, 0, 1, 1, 1, 2, 4, 3, 4, 2, 3, 4, 3, 0, 0, 2, 4, 2, 2, 3, 4, 1, 3, 0, 1, 2, 1, 1, 3, 3, 2, 1, 2, 0, 1, 4, 4, 4, 3, 1, 2, 4, 3, 1, 1, 3, 1, 4, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 4, 3, 0, 1, 1, 0, 2, 3, 2, 4, 3, 4, 0, 1, 0, 3, 2, 4, 3, 1, 4, 4, 4, 0, 1, 4, 4, 2, 4, 4, 3, 4, 3, 0, 1, 0, 4, 4, 3, 3, 0, 0, 3, 2, 3, 2, 3, 0, 1, 0, 1, 3, 3, 0, 1, 2, 1, 0, 2, 2, 3, 0, 0, 3, 0, 4, 0, 0, 2, 1, 0, 3, 3, 3, 4, 4, 0, 1, 3, 4, 3, 4, 3, 2, 0, 2, 4, 0, 3, 3, 1, 4, 4, 4, 1, 3, 2, 3, 1, 4, 1, 2, 1, 1, 4, 1, 4, 0, 3, 1, 3, 1, 1, 3, 0, 2, 4, 3, 2, 3, 3, 0, 1, 4, 3, 4, 1, 0, 0, 0, 3, 3, 1, 2, 1, 1, 1, 1, 3, 0, 1, 1, 1, 2, 0, 4, 1, 4, 2, 4, 1, 0, 1, 3, 4, 4, 0, 4, 3, 4, 3, 1, 4, 1, 1, 0, 4, 0, 0, 2, 3, 0, 2, 2, 1, 1, 2, 0, 2, 3, 4, 0, 0, 0, 3, 2, 2, 2, 2, 4, 2, 3, 2, 2, 1, 2, 2, 3, 1, 4, 0, 4, 1, 4, 0, 4, 3, 0, 0, 0, 3, 2, 2, 0, 3, 1, 3, 4, 3, 2, 3, 1, 4, 4, 3, 3, 4, 0, 4, 2, 0, 0, 1, 2, 4, 1, 3, 1, 1, 1, 0, 4, 0, 2, 1, 1, 4, 3, 1, 1, 1, 2, 0, 3, 4, 4, 4, 3, 0, 2, 0, 0, 1, 1, 0, 4, 2, 1, 3, 1, 0, 3, 4, 0, 4, 2, 4, 2, 2, 2, 4, 2, 4, 3, 4, 0, 3, 3, 4, 3, 4, 2, 4, 1, 3, 4, 1, 1, 4, 3, 2, 2, 3, 0, 3, 2, 2, 4, 4, 3, 4, 4, 2, 2, 2, 1, 4, 0, 0, 2, 1, 2, 1, 4, 2, 4, 2, 2, 2, 2, 0, 0, 2, 4, 3, 3, 1, 3, 3, 2, 3, 0, 0, 3, 2, 4, 4, 2, 3, 4, 1, 1, 1, 0, 3, 2, 2, 0, 4, 0, 0, 2, 4, 0, 4, 1, 4, 2, 2, 3, 2, 1, 3, 2, 0, 4, 1, 3, 2, 2, 1, 4, 4, 0, 4, 4, 3, 4, 2, 1, 3, 1, 2, 2, 1, 0, 0, 4]
pubkeycol1302 = [2, 4, 4, 0, 2, 1, 2, 0, 3, 2, 4, 2, 1, 4, 2, 3, 3, 0, 4, 1, 3, 4, 3, 2, 0, 4, 1, 0, 4, 1, 0, 4, 3, 4, 4, 2, 4, 1, 2, 0, 0, 2, 3, 3, 2, 3, 2, 2, 0, 3, 2, 1, 2, 4, 0, 4, 3, 4, 1, 3, 1, 0, 0, 2, 4, 4, 1, 0, 2, 0, 1, 4, 4, 0, 2, 1, 2, 1, 4, 4, 1, 2, 0, 3, 0, 4, 3, 1, 3, 1, 4, 3, 2, 4, 0, 3, 0, 4, 0, 4, 1, 2, 1, 0, 0, 1, 0, 3, 2, 0, 0, 1, 0, 4, 3, 2, 2, 3, 4, 3, 4, 3, 4, 3, 3, 2, 3, 1, 0, 0, 0, 0, 4, 3, 3, 3, 1, 1, 2, 1, 2, 4, 0, 3, 0, 1, 4, 0, 0, 0, 2, 4, 1, 0, 0, 2, 0, 3, 4, 1, 0, 3, 1, 0, 4, 2, 3, 3, 3, 2, 1, 4, 2, 4, 1, 0, 3, 4, 1, 0, 2, 0, 0, 0, 0, 3, 4, 1, 1, 4, 2, 4, 4, 4, 2, 2, 3, 4, 0, 4, 4, 0, 3, 1, 2, 0, 0, 3, 1, 3, 0, 2, 2, 4, 2, 4, 3, 1, 2, 4, 4, 4, 4, 0, 4, 0, 1, 0, 2, 0, 2, 3, 1, 2, 4, 1, 3, 0, 1, 2, 2, 2, 0, 4, 2, 1, 2, 3, 2, 2, 3, 2, 2, 2, 2, 1, 3, 3, 4, 3, 2, 4, 4, 0, 4, 4, 1, 0, 4, 2, 4, 1, 0, 0, 1, 1, 2, 0, 4, 2, 4, 1, 3, 2, 4, 2, 3, 0, 0, 0, 4, 2, 4, 2, 4, 3, 3, 4, 2, 0, 3, 2, 3, 3, 2, 1, 2, 2, 1, 1, 0, 4, 1, 0, 1, 0, 1, 4, 0, 3, 1, 3, 1, 4, 2, 4, 0, 3, 0, 1, 0, 1, 0, 4, 3, 0, 3, 2, 2, 0, 0, 1, 3, 0, 3, 2, 3, 4, 3, 3, 2, 4, 4, 3, 2, 3, 1, 4, 4, 4, 1, 2, 4, 4, 3, 4, 2, 1, 2, 4, 3, 3, 3, 0, 3, 4, 2, 2, 4, 2, 1, 0, 4, 1, 4, 4, 0, 2, 1, 1, 2, 4, 4, 1, 0, 3, 3, 3, 1, 4, 2, 3, 0, 3, 2, 2, 0, 3, 1, 3, 1, 3, 3, 1, 2, 2, 0, 4, 3, 3, 1, 3, 4, 1, 1, 3, 1, 3, 1, 1, 2, 3, 0, 0, 0, 0, 0, 3, 1, 2, 0, 2, 3, 3, 3, 0, 0, 2, 0, 2, 4, 1, 2, 2, 1, 3, 0, 1, 4, 3, 4, 0, 1, 2, 3, 1, 1, 0, 2, 1, 0, 4, 3, 3, 2, 2, 2, 4, 1, 1, 0, 4, 3, 2, 0, 2, 1, 2, 3, 2, 4, 2, 3, 3, 1, 3, 0, 4, 3, 4, 4, 3, 2, 3, 0]
pubkeycol1303 = [1, 4, 2, 4, 2, 1, 2, 1, 0, 1, 2, 3, 4, 3, 1, 0, 0, 1, 2, 0, 3, 4, 0, 3, 4, 3, 1, 2, 1, 0, 4, 1, 1, 1, 1, 0, 1, 2, 0, 3, 0, 3, 3, 1, 1, 3, 1, 0, 1, 1, 1, 3, 1, 0, 0, 0, 1, 1, 0, 1, 1, 4, 3, 0, 3, 2, 0, 2, 4, 4, 3, 3, 3, 1, 3, 3, 4, 0, 3, 2, 3, 1, 1, 2, 1, 4, 1, 4, 0, 4, 4, 2, 4, 4, 2, 4, 0, 4, 4, 4, 4, 2, 1, 0, 3, 0, 3, 0, 4, 4, 1, 0, 2, 0, 3, 3, 1, 4, 0, 3, 1, 2, 1, 0, 3, 3, 0, 1, 1, 3, 2, 0, 1, 1, 0, 2, 0, 1, 4, 1, 2, 0, 1, 0, 2, 4, 3, 3, 0, 2, 0, 0, 1, 3, 1, 0, 2, 1, 3, 4, 0, 2, 4, 4, 2, 1, 2, 0, 1, 2, 0, 4, 1, 1, 1, 0, 2, 1, 1, 3, 4, 2, 4, 2, 2, 3, 0, 3, 2, 0, 3, 0, 0, 4, 0, 3, 3, 2, 0, 4, 3, 4, 3, 0, 1, 3, 0, 3, 3, 3, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 4, 4, 3, 4, 4, 2, 2, 3, 0, 0, 1, 1, 0, 3, 4, 0, 1, 3, 4, 1, 3, 0, 4, 3, 4, 1, 4, 1, 4, 0, 1, 2, 0, 1, 2, 2, 4, 4, 3, 4, 1, 2, 1, 1, 0, 4, 3, 3, 0, 1, 4, 2, 4, 1, 3, 1, 4, 4, 0, 3, 2, 2, 4, 4, 3, 3, 4, 0, 1, 2, 4, 1, 0, 2, 2, 0, 3, 3, 1, 2, 4, 4, 4, 0, 1, 3, 2, 4, 2, 0, 1, 2, 2, 4, 4, 1, 1, 2, 1, 0, 4, 2, 4, 3, 2, 0, 4, 4, 4, 1, 4, 1, 3, 0, 0, 4, 0, 1, 2, 1, 3, 3, 2, 2, 0, 4, 1, 1, 0, 2, 2, 1, 3, 2, 0, 2, 2, 4, 0, 3, 2, 1, 0, 4, 3, 3, 1, 2, 4, 0, 4, 4, 2, 1, 3, 2, 0, 4, 1, 4, 1, 0, 0, 4, 2, 0, 1, 0, 2, 0, 3, 0, 2, 4, 2, 1, 2, 0, 3, 2, 0, 3, 4, 1, 3, 0, 4, 0, 2, 3, 3, 2, 3, 4, 2, 3, 4, 0, 3, 2, 0, 1, 3, 0, 4, 4, 3, 1, 2, 4, 3, 4, 0, 4, 4, 2, 4, 1, 0, 0, 3, 2, 3, 4, 0, 2, 2, 0, 3, 3, 0, 3, 3, 0, 1, 4, 1, 4, 2, 4, 1, 4, 1, 0, 1, 2, 1, 4, 2, 4, 3, 1, 0, 4, 2, 1, 3, 2, 2, 2, 4, 3, 2, 1, 4, 0, 1, 4, 0, 0, 1, 3, 0, 3, 0, 1, 1, 3, 0, 2, 3, 2, 0, 1, 2]
pubkeycol1304 = [4, 3, 2, 3, 3, 4, 4, 4, 1, 2, 2, 2, 0, 0, 0, 2, 2, 4, 2, 2, 0, 3, 1, 3, 0, 0, 2, 1, 1, 0, 1, 2, 3, 1, 0, 1, 0, 4, 1, 2, 2, 1, 1, 2, 1, 1, 4, 0, 3, 0, 2, 2, 1, 2, 4, 0, 3, 0, 2, 2, 1, 1, 2, 0, 4, 3, 3, 2, 2, 3, 1, 0, 4, 2, 2, 0, 0, 0, 4, 2, 0, 2, 1, 2, 1, 4, 3, 0, 1, 1, 3, 4, 4, 4, 3, 2, 3, 0, 3, 1, 2, 1, 4, 0, 3, 0, 4, 2, 0, 0, 1, 1, 0, 4, 3, 2, 1, 2, 3, 0, 4, 1, 4, 1, 3, 3, 3, 1, 0, 1, 1, 3, 4, 4, 0, 3, 0, 3, 3, 0, 1, 4, 0, 4, 0, 4, 1, 0, 0, 3, 3, 4, 4, 0, 2, 2, 0, 3, 4, 4, 3, 3, 2, 1, 2, 2, 4, 1, 4, 2, 0, 4, 3, 4, 0, 4, 2, 3, 2, 3, 4, 2, 2, 3, 0, 0, 4, 0, 4, 4, 1, 2, 2, 1, 0, 3, 1, 4, 2, 0, 1, 2, 1, 1, 3, 2, 3, 4, 2, 4, 2, 0, 1, 4, 4, 3, 1, 3, 3, 3, 2, 4, 1, 0, 1, 0, 2, 2, 1, 4, 0, 2, 4, 4, 0, 3, 3, 3, 2, 2, 1, 1, 0, 2, 2, 1, 4, 1, 4, 0, 0, 2, 3, 0, 2, 4, 2, 3, 3, 0, 4, 2, 3, 4, 1, 3, 3, 0, 0, 2, 3, 4, 0, 0, 0, 1, 1, 0, 3, 2, 3, 4, 1, 2, 4, 4, 0, 1, 4, 4, 3, 4, 3, 0, 1, 0, 3, 2, 3, 1, 2, 4, 3, 3, 3, 4, 2, 0, 2, 4, 0, 1, 1, 4, 0, 0, 4, 4, 0, 4, 3, 4, 4, 0, 0, 2, 3, 2, 2, 0, 3, 0, 1, 2, 1, 2, 4, 3, 2, 1, 2, 1, 4, 1, 1, 2, 2, 1, 3, 0, 1, 4, 1, 4, 0, 3, 4, 2, 4, 0, 0, 0, 3, 0, 2, 4, 1, 2, 0, 2, 2, 0, 3, 0, 2, 1, 3, 2, 1, 0, 2, 4, 1, 1, 1, 4, 3, 3, 3, 1, 3, 0, 3, 0, 4, 2, 3, 2, 1, 4, 4, 1, 4, 1, 1, 3, 3, 0, 3, 1, 3, 3, 3, 2, 1, 2, 4, 4, 1, 4, 4, 2, 2, 1, 4, 0, 3, 1, 2, 4, 1, 0, 2, 4, 4, 0, 0, 2, 4, 2, 0, 1, 2, 4, 1, 2, 1, 4, 4, 0, 0, 4, 3, 0, 3, 2, 0, 2, 1, 2, 1, 3, 3, 2, 0, 1, 1, 4, 4, 4, 3, 4, 4, 1, 3, 0, 1, 2, 0, 3, 3, 4, 3, 0, 1, 1, 2, 0, 1, 4, 2, 2, 2, 2, 1, 4, 3, 1, 4, 3, 3, 1, 2, 1, 0]
pubkeycol1305 = [0, 4, 4, 2, 0, 2, 2, 2, 0, 1, 1, 4, 1, 2, 4, 4, 2, 0, 2, 2, 2, 4, 3, 0, 1, 0, 2, 1, 4, 3, 1, 3, 4, 2, 3, 1, 4, 0, 0, 3, 3, 1, 3, 2, 4, 1, 1, 0, 0, 3, 4, 1, 0, 4, 4, 0, 4, 4, 2, 1, 4, 1, 2, 1, 3, 0, 2, 2, 0, 4, 3, 2, 2, 3, 1, 3, 4, 4, 3, 4, 4, 0, 3, 3, 3, 2, 3, 4, 3, 1, 1, 1, 3, 3, 2, 4, 4, 3, 2, 4, 2, 2, 3, 0, 1, 3, 2, 2, 3, 1, 4, 3, 2, 2, 3, 4, 0, 0, 4, 1, 4, 0, 1, 4, 0, 3, 1, 3, 3, 0, 4, 2, 2, 4, 2, 2, 2, 2, 3, 0, 3, 2, 2, 4, 3, 1, 2, 4, 1, 4, 1, 4, 4, 1, 1, 1, 4, 2, 2, 3, 1, 1, 4, 0, 1, 4, 0, 0, 0, 2, 4, 0, 4, 1, 3, 0, 4, 2, 0, 2, 4, 1, 2, 2, 0, 4, 1, 2, 2, 1, 3, 4, 2, 3, 2, 0, 1, 0, 2, 0, 4, 0, 0, 1, 1, 1, 3, 0, 3, 1, 3, 4, 0, 3, 4, 2, 1, 2, 1, 3, 3, 0, 0, 2, 0, 2, 0, 3, 1, 4, 0, 2, 3, 0, 4, 0, 1, 2, 4, 3, 1, 1, 2, 1, 0, 0, 3, 3, 4, 4, 1, 3, 0, 2, 0, 2, 1, 2, 2, 3, 4, 4, 1, 3, 1, 4, 2, 3, 2, 0, 1, 1, 3, 3, 2, 4, 1, 4, 0, 1, 4, 2, 2, 1, 3, 3, 0, 3, 2, 2, 3, 4, 1, 0, 0, 4, 4, 3, 3, 1, 0, 0, 3, 0, 0, 3, 2, 2, 0, 2, 1, 4, 4, 1, 4, 2, 1, 3, 0, 4, 0, 2, 2, 4, 0, 0, 4, 1, 0, 3, 1, 0, 3, 1, 3, 3, 0, 0, 0, 3, 1, 0, 2, 1, 3, 2, 3, 0, 1, 3, 1, 3, 4, 2, 4, 1, 4, 4, 2, 2, 2, 1, 0, 0, 4, 0, 1, 3, 1, 2, 1, 3, 3, 0, 0, 3, 2, 1, 1, 3, 0, 1, 2, 0, 1, 2, 0, 2, 3, 0, 4, 0, 2, 4, 4, 1, 2, 1, 1, 4, 0, 3, 1, 3, 1, 0, 2, 1, 0, 2, 3, 4, 1, 0, 3, 0, 3, 4, 3, 4, 4, 3, 1, 2, 1, 4, 3, 1, 2, 2, 4, 3, 0, 3, 1, 0, 1, 3, 2, 3, 4, 0, 1, 0, 0, 3, 0, 3, 1, 3, 2, 4, 4, 4, 2, 0, 2, 1, 4, 3, 2, 1, 4, 3, 1, 0, 4, 2, 3, 4, 1, 3, 3, 2, 2, 2, 3, 4, 2, 3, 1, 4, 3, 2, 2, 3, 4, 2, 2, 2, 3, 1, 4, 2, 1, 1, 1, 2, 4, 3, 2, 0, 4, 3, 0]
pubkeycol1306 = [0, 1, 0, 0, 3, 2, 3, 3, 1, 2, 3, 0, 1, 1, 3, 0, 0, 3, 0, 4, 2, 4, 2, 2, 1, 3, 1, 0, 1, 1, 2, 3, 1, 3, 4, 4, 4, 2, 2, 2, 2, 2, 1, 1, 3, 2, 3, 3, 4, 3, 2, 2, 4, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 3, 2, 4, 3, 1, 2, 1, 1, 3, 1, 0, 1, 3, 4, 1, 4, 1, 2, 0, 3, 1, 4, 0, 1, 4, 4, 1, 1, 1, 3, 1, 0, 3, 0, 3, 1, 4, 0, 1, 4, 0, 3, 2, 2, 2, 4, 4, 4, 0, 1, 1, 2, 1, 0, 2, 3, 4, 0, 0, 4, 0, 2, 1, 4, 1, 2, 4, 0, 3, 3, 4, 2, 2, 2, 2, 2, 2, 1, 3, 3, 4, 0, 3, 1, 1, 3, 4, 1, 4, 0, 4, 1, 1, 2, 2, 3, 0, 1, 1, 2, 3, 2, 3, 4, 3, 3, 4, 1, 3, 4, 1, 0, 4, 4, 1, 1, 3, 0, 0, 4, 4, 4, 4, 3, 4, 0, 1, 2, 1, 3, 1, 3, 1, 1, 3, 3, 4, 2, 2, 4, 2, 2, 2, 3, 0, 1, 2, 0, 0, 2, 3, 3, 0, 0, 0, 1, 3, 3, 2, 3, 0, 0, 4, 0, 0, 2, 2, 1, 3, 0, 0, 2, 1, 0, 4, 0, 2, 1, 3, 3, 1, 4, 0, 1, 2, 3, 4, 4, 4, 3, 0, 4, 2, 4, 1, 1, 2, 2, 0, 2, 0, 3, 3, 4, 2, 0, 0, 3, 2, 3, 2, 1, 3, 3, 4, 4, 4, 0, 1, 1, 3, 0, 2, 2, 1, 0, 4, 3, 3, 1, 2, 4, 2, 2, 1, 0, 1, 2, 1, 3, 3, 2, 0, 4, 4, 0, 2, 1, 3, 3, 0, 3, 2, 3, 2, 1, 3, 1, 4, 2, 0, 3, 1, 3, 0, 1, 3, 3, 2, 3, 0, 4, 2, 2, 1, 4, 1, 1, 4, 2, 1, 3, 2, 2, 1, 3, 3, 3, 0, 3, 3, 0, 3, 2, 1, 2, 4, 1, 1, 1, 4, 0, 1, 1, 0, 0, 1, 1, 1, 2, 4, 0, 0, 0, 3, 2, 3, 3, 0, 3, 1, 2, 0, 4, 1, 3, 3, 0, 3, 1, 3, 0, 4, 1, 0, 0, 0, 4, 2, 1, 2, 0, 1, 1, 2, 3, 4, 0, 4, 0, 0, 0, 4, 1, 4, 3, 2, 0, 4, 4, 1, 0, 3, 1, 0, 2, 3, 0, 0, 2, 4, 1, 3, 3, 1, 4, 0, 0, 2, 0, 1, 1, 0, 1, 4, 0, 2, 4, 0, 1, 1, 2, 2, 4, 3, 1, 3, 4, 3, 1, 0, 3, 0, 1, 1, 0, 3, 4, 2, 2, 2, 4, 0, 3, 0, 1, 4, 4, 4, 4, 2, 3, 3, 3, 3, 2, 0, 0, 4, 3, 0, 1, 3, 0, 2, 1, 0, 4, 2, 2, 1]
pubkeycol1307 = [3, 1, 4, 1, 0, 1, 0, 3, 0, 0, 1, 2, 1, 1, 3, 1, 2, 3, 0, 2, 2, 0, 4, 0, 1, 3, 3, 0, 0, 2, 3, 1, 2, 3, 2, 4, 4, 4, 3, 2, 1, 4, 2, 0, 1, 3, 0, 1, 1, 2, 3, 1, 0, 1, 3, 2, 4, 2, 3, 4, 0, 4, 4, 3, 1, 0, 2, 0, 1, 2, 4, 1, 2, 2, 1, 1, 4, 2, 1, 4, 4, 2, 1, 2, 4, 0, 0, 2, 0, 0, 3, 2, 1, 4, 3, 3, 0, 2, 4, 0, 0, 2, 4, 0, 0, 1, 3, 2, 1, 0, 3, 1, 3, 4, 1, 1, 4, 0, 0, 1, 1, 4, 3, 0, 1, 3, 3, 3, 1, 0, 4, 2, 4, 2, 1, 4, 4, 3, 4, 2, 3, 4, 0, 4, 3, 2, 4, 3, 3, 0, 3, 3, 1, 3, 4, 0, 0, 4, 0, 4, 0, 1, 4, 1, 2, 4, 4, 0, 0, 4, 2, 4, 0, 2, 0, 4, 4, 1, 0, 4, 2, 2, 3, 1, 0, 4, 0, 3, 0, 2, 3, 4, 4, 4, 3, 3, 1, 4, 1, 0, 1, 0, 2, 1, 2, 0, 4, 3, 4, 3, 4, 4, 3, 1, 4, 0, 4, 3, 2, 4, 2, 2, 4, 2, 4, 1, 0, 2, 1, 0, 2, 2, 0, 4, 2, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 3, 2, 2, 1, 3, 2, 0, 4, 2, 1, 4, 4, 4, 4, 3, 3, 4, 1, 4, 0, 2, 4, 1, 4, 4, 0, 1, 4, 1, 0, 4, 3, 3, 0, 3, 4, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 4, 3, 1, 3, 1, 0, 0, 1, 2, 1, 4, 2, 4, 3, 2, 3, 3, 4, 0, 2, 0, 3, 1, 1, 3, 1, 3, 0, 3, 1, 1, 4, 1, 0, 2, 3, 2, 4, 4, 0, 4, 2, 1, 0, 0, 3, 4, 2, 0, 1, 3, 4, 4, 1, 1, 2, 2, 0, 1, 2, 0, 4, 4, 2, 2, 3, 4, 4, 3, 2, 0, 0, 3, 1, 0, 2, 1, 4, 0, 4, 3, 3, 4, 2, 1, 2, 2, 0, 1, 2, 4, 4, 0, 1, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 0, 0, 4, 3, 0, 0, 2, 3, 2, 2, 4, 4, 2, 1, 4, 2, 0, 3, 0, 3, 3, 2, 3, 4, 4, 3, 2, 2, 3, 0, 2, 1, 3, 4, 3, 4, 2, 4, 0, 1, 4, 0, 3, 2, 0, 0, 0, 1, 0, 1, 2, 4, 3, 0, 2, 3, 3, 3, 1, 1, 2, 0, 4, 1, 0, 0, 1, 1, 3, 4, 4, 4, 1, 0, 3, 0, 2, 1, 2, 0, 4, 3, 1, 4, 0, 4, 4, 3, 4, 2, 4, 4, 3, 0, 0, 1, 0, 2, 1, 4, 2, 4, 2, 3, 1, 2, 4]
pubkeycol1308 = [2, 3, 2, 2, 0, 1, 1, 3, 1, 1, 1, 2, 3, 1, 2, 3, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 4, 3, 1, 0, 4, 2, 2, 3, 3, 3, 4, 1, 0, 4, 0, 0, 1, 0, 3, 3, 1, 1, 2, 1, 3, 3, 4, 4, 2, 2, 0, 1, 4, 3, 4, 4, 1, 2, 3, 2, 1, 1, 4, 3, 2, 1, 2, 2, 4, 2, 2, 1, 3, 0, 0, 4, 4, 0, 1, 0, 3, 0, 0, 4, 3, 2, 1, 0, 0, 3, 3, 3, 4, 1, 4, 0, 2, 2, 1, 2, 0, 0, 3, 1, 4, 3, 2, 2, 0, 2, 0, 1, 0, 2, 4, 0, 1, 1, 4, 0, 0, 4, 3, 3, 0, 3, 0, 4, 0, 2, 2, 3, 4, 4, 1, 3, 4, 1, 0, 2, 3, 0, 4, 0, 3, 0, 2, 0, 0, 3, 1, 4, 2, 1, 3, 4, 4, 2, 2, 3, 4, 3, 0, 1, 1, 1, 1, 3, 3, 0, 4, 3, 2, 3, 3, 1, 3, 4, 2, 3, 1, 1, 3, 4, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 4, 4, 1, 0, 0, 0, 1, 3, 2, 3, 3, 4, 1, 2, 2, 4, 3, 1, 3, 0, 2, 4, 2, 0, 2, 0, 2, 2, 2, 2, 3, 2, 4, 1, 0, 2, 1, 3, 2, 2, 2, 0, 3, 2, 4, 3, 3, 0, 2, 4, 0, 2, 1, 0, 1, 1, 3, 0, 4, 3, 0, 0, 4, 4, 1, 3, 1, 2, 1, 4, 3, 0, 2, 3, 0, 0, 0, 1, 2, 0, 3, 3, 3, 3, 0, 0, 0, 2, 4, 1, 0, 1, 0, 1, 3, 0, 1, 2, 1, 0, 4, 0, 2, 4, 2, 0, 0, 2, 0, 3, 1, 0, 2, 0, 3, 2, 0, 3, 0, 2, 1, 3, 4, 2, 1, 2, 2, 4, 0, 2, 3, 4, 3, 1, 1, 1, 1, 2, 3, 1, 1, 0, 1, 3, 0, 1, 1, 4, 3, 4, 0, 0, 3, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 3, 3, 0, 3, 3, 3, 4, 2, 2, 4, 4, 3, 0, 1, 2, 3, 3, 0, 4, 2, 3, 0, 4, 0, 3, 2, 3, 2, 4, 1, 2, 1, 0, 4, 3, 0, 2, 1, 2, 0, 4, 4, 1, 2, 2, 3, 1, 1, 2, 4, 2, 1, 3, 1, 0, 2, 3, 2, 4, 4, 4, 4, 3, 3, 4, 1, 4, 0, 2, 4, 2, 0, 2, 4, 1, 4, 4, 1, 3, 3, 3, 2, 1, 1, 0, 3, 1, 4, 4, 0, 4, 0, 0, 1, 3, 0, 4, 2, 3, 1, 2, 0, 4, 3, 3, 1, 3, 0, 2, 0, 1, 1, 4, 4, 0, 3, 3, 4, 3, 0, 2, 1, 2, 2, 4, 2, 2, 0, 0, 2, 4, 4, 3, 1, 4, 1, 3, 3, 3, 2, 1]
pubkeycol1309 = [2, 2, 3, 1, 4, 2, 4, 1, 0, 3, 3, 2, 0, 3, 0, 1, 3, 2, 2, 1, 4, 1, 4, 1, 1, 2, 1, 1, 1, 3, 1, 0, 4, 2, 4, 3, 2, 2, 4, 3, 1, 2, 3, 4, 1, 3, 1, 1, 3, 0, 4, 0, 2, 1, 2, 2, 1, 2, 0, 3, 2, 0, 4, 0, 2, 1, 1, 2, 3, 1, 3, 2, 4, 4, 2, 3, 2, 2, 2, 4, 3, 3, 2, 2, 3, 4, 0, 2, 1, 4, 3, 1, 0, 2, 0, 2, 2, 4, 3, 2, 1, 1, 2, 1, 4, 0, 2, 4, 0, 4, 3, 0, 0, 0, 3, 3, 4, 1, 4, 4, 3, 0, 2, 3, 2, 0, 0, 3, 0, 0, 1, 3, 1, 2, 1, 4, 0, 2, 2, 0, 4, 4, 0, 2, 2, 4, 1, 4, 2, 3, 1, 2, 1, 4, 2, 3, 0, 4, 4, 1, 0, 1, 0, 0, 3, 1, 2, 0, 0, 3, 4, 3, 3, 0, 4, 1, 0, 4, 4, 0, 1, 0, 4, 4, 0, 1, 1, 1, 3, 3, 0, 1, 3, 3, 2, 1, 4, 2, 0, 2, 2, 1, 3, 2, 3, 0, 0, 1, 3, 3, 1, 0, 4, 2, 3, 0, 3, 1, 0, 4, 4, 4, 4, 3, 3, 0, 0, 4, 4, 1, 0, 3, 0, 3, 3, 2, 0, 4, 3, 3, 4, 4, 4, 1, 4, 0, 2, 3, 1, 1, 2, 3, 4, 1, 1, 2, 0, 3, 0, 1, 2, 2, 3, 2, 2, 1, 0, 2, 3, 3, 2, 2, 4, 2, 2, 2, 3, 4, 0, 3, 4, 1, 1, 0, 0, 4, 0, 3, 4, 1, 4, 0, 3, 1, 3, 2, 2, 2, 3, 3, 2, 2, 3, 0, 2, 4, 3, 3, 4, 2, 0, 1, 3, 0, 0, 1, 4, 2, 3, 3, 3, 0, 4, 4, 2, 3, 1, 1, 2, 1, 2, 2, 3, 1, 2, 3, 2, 4, 3, 4, 0, 3, 2, 4, 0, 3, 0, 2, 3, 0, 3, 3, 4, 4, 3, 0, 4, 3, 3, 2, 4, 4, 0, 4, 2, 1, 3, 3, 2, 3, 4, 1, 1, 3, 0, 4, 4, 1, 0, 3, 3, 4, 4, 4, 0, 2, 0, 3, 3, 2, 3, 2, 4, 0, 1, 2, 2, 3, 4, 4, 3, 3, 1, 2, 4, 1, 1, 1, 3, 4, 1, 4, 1, 4, 1, 3, 1, 0, 0, 2, 1, 3, 0, 4, 0, 1, 0, 3, 2, 3, 3, 1, 1, 2, 4, 4, 1, 3, 2, 0, 0, 2, 0, 4, 4, 0, 0, 2, 3, 0, 4, 2, 2, 3, 4, 3, 0, 1, 4, 0, 4, 2, 2, 4, 4, 2, 0, 0, 2, 1, 0, 3, 4, 1, 3, 0, 4, 1, 3, 0, 2, 1, 4, 4, 2, 2, 4, 4, 0, 4, 4, 2, 1, 1, 3, 4, 1, 2, 1, 4, 2, 4, 2, 0, 1]
pubkeycol1310 = [0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 3, 2, 1, 3, 4, 0, 1, 2, 2, 3, 1, 0, 0, 4, 4, 2, 0, 3, 2, 1, 3, 4, 4, 4, 2, 0, 4, 0, 4, 0, 1, 0, 0, 3, 0, 4, 0, 1, 2, 4, 1, 2, 0, 3, 1, 2, 3, 1, 2, 1, 3, 0, 3, 1, 1, 0, 3, 2, 1, 2, 3, 4, 2, 0, 2, 1, 0, 3, 4, 2, 4, 0, 3, 3, 1, 1, 2, 0, 2, 0, 2, 2, 1, 3, 1, 3, 0, 1, 4, 4, 1, 1, 4, 2, 0, 3, 3, 3, 4, 3, 1, 1, 4, 1, 1, 3, 1, 4, 4, 2, 4, 0, 3, 0, 1, 1, 3, 3, 4, 1, 0, 3, 3, 1, 0, 3, 1, 0, 1, 2, 1, 2, 1, 4, 0, 0, 2, 1, 1, 3, 1, 3, 3, 1, 1, 3, 3, 4, 4, 4, 0, 2, 1, 4, 0, 3, 0, 2, 0, 0, 0, 4, 1, 2, 3, 3, 0, 1, 2, 2, 0, 3, 0, 1, 3, 2, 3, 2, 2, 0, 1, 3, 3, 3, 2, 2, 3, 3, 4, 4, 3, 2, 2, 3, 2, 4, 2, 3, 2, 1, 4, 1, 2, 0, 1, 2, 4, 2, 4, 2, 1, 4, 2, 0, 3, 2, 2, 4, 1, 2, 3, 0, 2, 0, 0, 1, 4, 2, 4, 0, 1, 0, 0, 4, 4, 3, 3, 0, 2, 1, 0, 3, 1, 0, 0, 4, 0, 3, 4, 4, 3, 4, 3, 2, 3, 3, 4, 1, 4, 0, 4, 2, 0, 4, 3, 1, 4, 2, 0, 2, 2, 3, 3, 2, 3, 1, 3, 4, 4, 2, 4, 3, 3, 2, 3, 1, 0, 4, 0, 0, 4, 2, 3, 2, 1, 2, 3, 2, 4, 0, 1, 3, 1, 0, 1, 4, 2, 3, 2, 0, 2, 1, 2, 4, 1, 4, 2, 0, 3, 0, 3, 0, 0, 1, 3, 4, 0, 2, 1, 3, 3, 2, 4, 4, 3, 0, 4, 4, 2, 2, 0, 0, 1, 2, 0, 1, 2, 3, 3, 2, 3, 4, 3, 2, 2, 1, 3, 1, 4, 1, 0, 1, 4, 2, 1, 2, 4, 4, 3, 2, 0, 4, 3, 1, 2, 1, 1, 0, 2, 1, 3, 0, 3, 0, 2, 0, 0, 0, 4, 2, 0, 4, 4, 3, 3, 4, 4, 0, 4, 3, 4, 2, 1, 2, 3, 1, 0, 1, 3, 3, 0, 0, 1, 1, 1, 2, 1, 1, 3, 4, 2, 3, 4, 2, 0, 1, 2, 3, 2, 0, 0, 3, 2, 3, 1, 4, 0, 4, 2, 3, 0, 3, 1, 0, 4, 0, 1, 1, 4, 1, 3, 4, 3, 1, 0, 2, 4, 4, 0, 4, 4, 1, 2, 1, 2, 0, 4, 2, 4, 2, 0, 0, 0, 4, 2, 4, 0, 0, 1, 3, 4, 4, 3, 0, 3, 1, 4, 1, 3, 0, 3, 4, 4, 0, 3]
pubkeycol1311 = [2, 1, 2, 2, 4, 3, 4, 0, 2, 3, 4, 0, 4, 0, 4, 4, 0, 2, 4, 3, 4, 4, 4, 3, 3, 2, 1, 0, 1, 2, 0, 2, 4, 4, 2, 2, 2, 4, 1, 0, 0, 4, 2, 2, 4, 3, 2, 0, 3, 1, 4, 4, 3, 1, 0, 4, 2, 2, 0, 4, 3, 4, 0, 0, 2, 4, 4, 3, 0, 2, 3, 2, 1, 3, 4, 0, 1, 4, 2, 2, 1, 0, 1, 4, 4, 1, 3, 3, 1, 3, 2, 2, 4, 4, 3, 3, 0, 3, 0, 0, 2, 1, 2, 4, 4, 3, 0, 1, 0, 0, 2, 2, 2, 0, 4, 0, 0, 4, 1, 1, 3, 0, 4, 3, 3, 0, 3, 0, 4, 3, 3, 3, 2, 1, 4, 0, 0, 2, 0, 2, 3, 1, 3, 3, 1, 2, 1, 0, 1, 3, 4, 1, 2, 0, 1, 0, 4, 4, 3, 1, 1, 1, 0, 2, 4, 3, 2, 4, 3, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 4, 2, 2, 4, 4, 3, 0, 0, 2, 4, 1, 1, 3, 0, 2, 4, 0, 1, 0, 2, 3, 3, 4, 3, 0, 1, 3, 2, 0, 3, 2, 0, 2, 2, 2, 1, 3, 1, 3, 2, 2, 1, 3, 4, 4, 3, 2, 2, 0, 4, 0, 1, 3, 3, 0, 3, 2, 3, 1, 3, 0, 0, 3, 1, 4, 1, 3, 3, 1, 2, 2, 3, 2, 1, 2, 1, 1, 4, 2, 0, 1, 0, 2, 4, 4, 0, 1, 3, 1, 1, 3, 2, 4, 4, 4, 4, 1, 0, 4, 4, 1, 1, 4, 3, 1, 1, 3, 1, 0, 0, 3, 2, 2, 4, 1, 0, 1, 0, 2, 4, 2, 1, 0, 3, 0, 2, 1, 1, 2, 1, 4, 4, 1, 4, 2, 4, 0, 2, 0, 2, 0, 3, 4, 0, 2, 2, 4, 0, 0, 4, 1, 3, 2, 4, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 3, 3, 0, 0, 1, 3, 2, 0, 2, 0, 2, 0, 2, 4, 0, 0, 1, 0, 2, 1, 2, 1, 3, 4, 0, 3, 4, 2, 3, 4, 4, 0, 1, 4, 2, 2, 1, 4, 1, 1, 2, 1, 0, 1, 1, 0, 1, 3, 4, 1, 4, 2, 1, 3, 0, 2, 2, 3, 3, 2, 1, 0, 2, 2, 2, 3, 4, 4, 4, 3, 1, 0, 1, 3, 1, 1, 1, 4, 1, 0, 1, 1, 1, 3, 1, 2, 0, 1, 0, 2, 0, 4, 3, 2, 1, 1, 1, 0, 0, 1, 0, 3, 4, 3, 0, 2, 1, 3, 3, 4, 3, 0, 2, 2, 4, 4, 1, 4, 4, 0, 3, 2, 1, 3, 1, 4, 0, 2, 1, 1, 1, 0, 2, 3, 1, 2, 0, 2, 2, 4, 1, 3, 4, 2, 0, 2, 1, 1, 3, 2, 4, 0, 1, 1, 2, 0, 2, 0, 3, 0, 2]
pubkeycol1312 = [0, 4, 4, 0, 4, 3, 1, 1, 1, 3, 1, 4, 0, 4, 0, 4, 2, 4, 2, 2, 0, 0, 3, 4, 2, 4, 1, 1, 0, 2, 3, 1, 1, 1, 3, 1, 2, 1, 1, 3, 4, 2, 1, 0, 1, 1, 4, 1, 0, 2, 4, 4, 1, 4, 4, 1, 4, 0, 2, 4, 1, 4, 0, 4, 2, 4, 4, 2, 2, 3, 4, 2, 3, 3, 4, 3, 4, 1, 3, 1, 0, 2, 0, 2, 2, 0, 4, 4, 2, 4, 4, 4, 2, 2, 4, 3, 1, 3, 0, 4, 1, 4, 4, 4, 4, 4, 0, 4, 1, 1, 0, 0, 4, 0, 4, 3, 1, 1, 2, 4, 2, 3, 3, 3, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 3, 2, 3, 1, 1, 4, 0, 0, 0, 0, 0, 3, 1, 0, 3, 3, 1, 0, 1, 0, 1, 4, 1, 0, 4, 4, 1, 1, 3, 2, 4, 4, 3, 1, 1, 4, 2, 4, 1, 4, 1, 4, 4, 3, 4, 0, 1, 0, 1, 1, 1, 2, 1, 2, 3, 2, 2, 2, 0, 3, 4, 3, 4, 3, 4, 0, 0, 1, 1, 1, 1, 0, 3, 4, 3, 2, 2, 2, 4, 3, 1, 4, 3, 2, 3, 2, 4, 3, 1, 4, 4, 4, 2, 3, 0, 3, 4, 0, 3, 1, 2, 3, 4, 3, 3, 0, 0, 0, 0, 0, 4, 1, 1, 4, 3, 2, 4, 2, 1, 4, 1, 3, 3, 0, 2, 4, 4, 4, 1, 4, 2, 4, 4, 0, 0, 0, 2, 1, 2, 1, 3, 0, 0, 3, 4, 0, 0, 2, 4, 3, 2, 4, 4, 3, 0, 2, 3, 3, 3, 0, 0, 1, 3, 4, 4, 0, 4, 2, 2, 2, 1, 3, 0, 4, 4, 0, 0, 1, 4, 3, 1, 2, 1, 0, 0, 3, 2, 4, 1, 1, 3, 3, 3, 3, 1, 0, 2, 3, 2, 3, 4, 3, 0, 2, 4, 3, 0, 0, 3, 3, 4, 0, 1, 1, 1, 3, 4, 3, 3, 4, 4, 3, 2, 1, 3, 3, 0, 0, 0, 2, 3, 0, 0, 4, 2, 2, 4, 1, 1, 4, 1, 3, 3, 1, 3, 3, 4, 2, 0, 4, 1, 4, 3, 3, 2, 4, 3, 3, 1, 3, 3, 1, 0, 3, 4, 0, 4, 2, 0, 3, 3, 4, 3, 4, 4, 0, 1, 3, 4, 3, 3, 1, 1, 1, 3, 4, 1, 0, 0, 4, 0, 4, 4, 1, 3, 4, 1, 1, 2, 1, 2, 2, 4, 2, 2, 2, 2, 3, 2, 1, 3, 2, 0, 3, 1, 0, 0, 1, 3, 4, 2, 3, 3, 4, 1, 4, 3, 2, 3, 2, 0, 4, 3, 4, 2, 4, 1, 4, 0, 1, 1, 2, 0, 2, 1, 2, 4, 1, 1, 1, 0, 1, 2, 0, 4, 4, 0, 2, 4, 1, 4, 1, 0, 3, 2, 1, 0, 1, 1, 0, 3]
pubkeycol1313 = [2, 4, 1, 3, 3, 2, 2, 2, 2, 4, 0, 0, 0, 4, 2, 0, 0, 3, 2, 1, 1, 2, 1, 3, 4, 1, 2, 4, 0, 0, 2, 0, 3, 2, 2, 4, 0, 2, 4, 2, 2, 1, 2, 4, 1, 4, 2, 0, 1, 4, 2, 1, 1, 0, 3, 1, 4, 0, 1, 2, 3, 4, 4, 2, 2, 3, 0, 1, 1, 1, 0, 3, 3, 1, 3, 1, 0, 2, 1, 0, 2, 1, 0, 1, 4, 2, 2, 1, 2, 4, 3, 4, 0, 2, 3, 1, 2, 3, 3, 0, 3, 3, 3, 4, 0, 4, 1, 0, 0, 0, 3, 4, 4, 4, 1, 4, 1, 0, 0, 2, 4, 2, 4, 0, 0, 0, 4, 0, 3, 1, 4, 1, 0, 3, 2, 0, 3, 2, 1, 4, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 4, 4, 0, 2, 1, 0, 4, 3, 3, 4, 3, 2, 3, 1, 3, 4, 3, 2, 0, 1, 4, 4, 0, 1, 2, 3, 1, 2, 0, 4, 0, 2, 3, 1, 0, 1, 2, 0, 0, 1, 0, 1, 3, 0, 4, 1, 1, 0, 1, 3, 4, 4, 4, 0, 3, 2, 2, 2, 0, 2, 1, 2, 3, 3, 3, 3, 4, 1, 2, 1, 3, 3, 3, 2, 0, 3, 0, 3, 4, 0, 0, 3, 1, 3, 0, 0, 2, 3, 1, 4, 1, 0, 0, 2, 3, 4, 2, 2, 3, 4, 2, 1, 0, 2, 0, 3, 4, 0, 1, 4, 0, 3, 0, 4, 1, 1, 2, 1, 0, 3, 2, 4, 0, 2, 2, 4, 1, 0, 2, 4, 0, 3, 0, 1, 0, 1, 2, 0, 3, 1, 1, 3, 3, 0, 4, 2, 1, 4, 2, 1, 2, 3, 2, 2, 0, 2, 3, 4, 2, 0, 1, 4, 3, 2, 1, 3, 1, 2, 2, 4, 4, 3, 2, 4, 3, 1, 1, 3, 1, 3, 3, 3, 0, 1, 4, 1, 4, 1, 0, 2, 3, 1, 0, 4, 1, 3, 1, 1, 4, 4, 1, 0, 3, 3, 3, 2, 2, 3, 4, 2, 4, 0, 2, 0, 1, 3, 2, 4, 2, 2, 3, 2, 3, 0, 1, 1, 0, 2, 3, 1, 0, 4, 1, 1, 2, 2, 1, 4, 3, 2, 3, 0, 0, 2, 2, 3, 0, 1, 2, 3, 3, 4, 0, 0, 3, 4, 1, 1, 1, 3, 0, 2, 2, 3, 0, 4, 4, 1, 0, 2, 1, 2, 1, 3, 1, 3, 3, 1, 3, 0, 4, 1, 1, 1, 0, 3, 0, 2, 1, 3, 2, 4, 1, 3, 0, 4, 2, 4, 2, 2, 4, 4, 3, 4, 0, 1, 3, 1, 4, 1, 0, 0, 4, 0, 1, 0, 2, 3, 4, 4, 1, 1, 3, 1, 3, 4, 1, 0, 1, 1, 2, 3, 3, 2, 3, 3, 3, 3, 4, 1, 0, 4, 0, 2, 0, 4, 4, 1, 0, 2, 4, 4, 4, 2]
pubkeycol1314 = [0, 1, 2, 4, 4, 2, 0, 2, 2, 0, 4, 1, 4, 0, 1, 4, 0, 3, 4, 0, 2, 4, 3, 2, 3, 2, 0, 1, 2, 1, 2, 3, 3, 2, 2, 1, 3, 2, 1, 1, 2, 2, 4, 1, 3, 0, 2, 2, 1, 4, 0, 1, 2, 2, 4, 3, 4, 1, 1, 1, 4, 4, 2, 4, 3, 2, 2, 4, 2, 4, 1, 0, 3, 0, 0, 2, 4, 4, 2, 4, 1, 3, 4, 1, 4, 2, 1, 4, 0, 0, 0, 4, 3, 3, 0, 2, 2, 2, 2, 2, 4, 4, 3, 1, 2, 3, 0, 2, 3, 2, 3, 1, 3, 3, 0, 2, 0, 4, 0, 3, 1, 2, 0, 1, 1, 3, 3, 1, 4, 3, 1, 4, 0, 3, 4, 4, 0, 3, 2, 3, 2, 4, 0, 3, 2, 1, 1, 4, 2, 3, 0, 4, 3, 1, 2, 3, 3, 4, 3, 3, 4, 0, 2, 2, 1, 0, 4, 0, 3, 1, 2, 0, 3, 1, 2, 2, 0, 3, 1, 3, 4, 4, 0, 2, 4, 3, 4, 1, 1, 2, 0, 3, 1, 2, 0, 2, 1, 2, 2, 3, 1, 1, 3, 1, 2, 2, 3, 0, 2, 2, 3, 0, 4, 3, 2, 1, 3, 3, 2, 4, 2, 0, 4, 1, 4, 3, 3, 0, 3, 2, 0, 0, 0, 2, 0, 3, 0, 1, 4, 1, 4, 2, 0, 4, 4, 2, 1, 2, 0, 2, 4, 2, 1, 2, 4, 3, 4, 1, 1, 2, 3, 1, 4, 4, 2, 4, 3, 1, 2, 2, 2, 2, 3, 4, 2, 2, 3, 1, 4, 3, 1, 1, 4, 0, 4, 2, 1, 1, 1, 2, 4, 1, 0, 0, 0, 0, 2, 1, 3, 4, 2, 1, 3, 3, 2, 0, 4, 2, 3, 2, 0, 1, 1, 2, 3, 2, 0, 2, 2, 4, 0, 0, 2, 3, 0, 0, 4, 3, 4, 3, 4, 0, 2, 1, 4, 4, 4, 1, 3, 1, 2, 3, 3, 4, 0, 0, 4, 2, 1, 4, 0, 4, 3, 2, 2, 1, 1, 1, 3, 1, 1, 2, 2, 1, 0, 1, 0, 0, 3, 2, 2, 1, 2, 0, 1, 0, 0, 3, 2, 1, 4, 2, 2, 3, 4, 3, 0, 2, 0, 4, 2, 1, 3, 2, 2, 0, 2, 4, 4, 3, 2, 3, 0, 2, 0, 3, 2, 0, 1, 4, 0, 1, 3, 4, 2, 3, 0, 4, 0, 0, 3, 4, 1, 2, 1, 1, 3, 0, 1, 0, 1, 0, 3, 1, 0, 0, 2, 3, 2, 1, 2, 1, 2, 0, 0, 0, 0, 3, 0, 0, 3, 2, 3, 2, 4, 3, 1, 0, 0, 1, 0, 1, 4, 0, 3, 3, 4, 1, 2, 2, 3, 4, 4, 1, 0, 1, 1, 4, 2, 4, 1, 2, 3, 3, 1, 2, 4, 4, 0, 1, 3, 4, 4, 3, 4, 0, 3, 0, 2, 3, 1, 1, 3, 3, 3]
pubkeycol1315 = [1, 4, 4, 3, 1, 1, 4, 0, 1, 4, 2, 3, 1, 3, 3, 0, 2, 3, 3, 3, 0, 3, 4, 4, 2, 0, 0, 4, 1, 2, 1, 0, 3, 1, 3, 0, 4, 3, 1, 0, 4, 1, 0, 3, 0, 4, 1, 1, 0, 1, 2, 1, 1, 4, 3, 0, 1, 2, 0, 4, 4, 2, 0, 3, 3, 0, 1, 0, 0, 3, 1, 0, 1, 4, 1, 0, 1, 1, 0, 1, 4, 2, 1, 0, 0, 0, 0, 2, 1, 3, 2, 4, 3, 4, 4, 2, 2, 2, 3, 3, 2, 4, 2, 3, 2, 3, 2, 1, 2, 1, 1, 0, 4, 2, 2, 4, 0, 2, 1, 0, 4, 3, 3, 1, 0, 1, 2, 2, 3, 4, 4, 1, 0, 2, 2, 2, 3, 4, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 3, 4, 4, 3, 2, 3, 0, 3, 0, 4, 4, 1, 3, 3, 3, 1, 4, 2, 0, 2, 0, 2, 2, 3, 0, 1, 0, 3, 3, 1, 4, 1, 4, 1, 1, 0, 4, 0, 1, 4, 2, 2, 0, 0, 3, 1, 4, 3, 1, 2, 4, 1, 3, 1, 2, 0, 0, 3, 2, 3, 0, 3, 0, 1, 4, 3, 3, 1, 4, 4, 2, 2, 0, 3, 2, 3, 3, 0, 4, 4, 4, 3, 0, 2, 2, 3, 4, 0, 2, 0, 0, 0, 3, 4, 2, 1, 2, 2, 1, 2, 1, 0, 4, 4, 1, 2, 4, 0, 2, 4, 3, 3, 2, 2, 1, 0, 3, 3, 1, 1, 0, 0, 4, 0, 2, 4, 1, 1, 3, 1, 2, 1, 3, 0, 0, 3, 1, 3, 4, 2, 1, 0, 3, 4, 1, 4, 2, 4, 1, 3, 2, 3, 0, 4, 4, 1, 3, 0, 2, 0, 3, 4, 0, 4, 1, 3, 4, 4, 0, 1, 0, 1, 4, 0, 4, 4, 3, 4, 2, 4, 0, 2, 3, 4, 1, 3, 4, 0, 0, 1, 1, 1, 4, 2, 3, 0, 0, 1, 3, 2, 1, 1, 3, 1, 1, 3, 0, 2, 0, 3, 2, 4, 3, 4, 1, 0, 0, 3, 3, 0, 1, 3, 0, 2, 0, 0, 2, 1, 4, 3, 3, 1, 2, 3, 4, 2, 0, 0, 3, 3, 2, 1, 2, 0, 1, 3, 1, 2, 0, 2, 1, 4, 0, 2, 0, 2, 2, 4, 2, 1, 3, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 3, 0, 3, 4, 1, 2, 1, 2, 1, 3, 2, 4, 3, 4, 4, 2, 0, 3, 4, 0, 2, 3, 3, 2, 4, 4, 4, 2, 4, 4, 2, 4, 3, 4, 4, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 3, 1, 1, 2, 3, 0, 2, 2, 4, 1, 4, 1, 0, 0, 2, 2, 0, 2, 1, 0, 3, 3, 3, 2, 3, 3, 4, 0, 2, 3, 1, 4, 1, 3, 0, 3]
pubkeycol1316 = [1, 2, 2, 2, 4, 3, 2, 1, 0, 2, 2, 0, 2, 1, 3, 4, 2, 4, 4, 4, 1, 3, 0, 1, 2, 0, 3, 4, 1, 1, 1, 4, 4, 4, 3, 2, 2, 0, 2, 0, 2, 0, 1, 0, 4, 2, 1, 4, 1, 1, 3, 1, 0, 4, 3, 1, 1, 4, 0, 1, 3, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 3, 4, 2, 0, 1, 4, 4, 0, 2, 4, 1, 0, 0, 3, 4, 1, 1, 1, 0, 1, 3, 1, 1, 0, 4, 3, 3, 2, 3, 1, 0, 1, 2, 2, 4, 3, 4, 2, 2, 1, 0, 3, 4, 2, 0, 2, 2, 3, 4, 2, 3, 0, 3, 4, 4, 1, 2, 3, 2, 4, 1, 0, 0, 2, 2, 1, 1, 0, 4, 0, 4, 4, 1, 4, 2, 1, 2, 2, 0, 0, 2, 1, 0, 4, 0, 1, 2, 3, 1, 4, 3, 3, 3, 2, 2, 3, 2, 0, 4, 4, 0, 0, 2, 1, 2, 3, 1, 1, 1, 4, 4, 3, 2, 2, 0, 3, 1, 4, 0, 1, 4, 4, 3, 2, 2, 2, 3, 1, 4, 0, 0, 2, 0, 2, 1, 2, 4, 1, 4, 2, 0, 3, 4, 0, 1, 1, 1, 1, 4, 1, 3, 4, 0, 1, 0, 4, 3, 2, 0, 0, 2, 2, 0, 4, 1, 3, 2, 4, 0, 3, 0, 0, 1, 0, 1, 4, 4, 4, 0, 1, 0, 0, 2, 0, 3, 0, 4, 1, 1, 2, 1, 0, 3, 4, 0, 3, 0, 1, 2, 3, 1, 4, 1, 4, 3, 4, 1, 3, 0, 3, 2, 3, 3, 1, 0, 1, 2, 0, 0, 1, 3, 4, 4, 3, 4, 2, 1, 4, 4, 2, 1, 0, 0, 2, 1, 0, 3, 3, 2, 3, 1, 1, 0, 2, 4, 1, 2, 1, 1, 4, 0, 1, 4, 0, 4, 0, 2, 0, 1, 0, 3, 1, 1, 0, 2, 0, 2, 1, 4, 4, 3, 0, 1, 3, 2, 2, 4, 0, 0, 0, 4, 3, 1, 4, 2, 0, 1, 2, 4, 0, 4, 4, 1, 1, 4, 3, 3, 4, 2, 2, 4, 2, 2, 4, 4, 3, 0, 3, 4, 4, 0, 2, 0, 2, 4, 0, 3, 2, 2, 3, 3, 4, 4, 4, 3, 2, 0, 1, 2, 0, 3, 3, 2, 0, 4, 1, 1, 2, 0, 3, 2, 1, 1, 0, 0, 4, 2, 1, 2, 3, 0, 2, 0, 1, 0, 2, 2, 3, 4, 2, 3, 1, 1, 0, 0, 1, 3, 1, 1, 3, 0, 1, 3, 3, 3, 0, 1, 0, 2, 4, 0, 1, 3, 0, 3, 4, 1, 4, 1, 4, 3, 0, 3, 2, 0, 0, 2, 1, 1, 2, 3, 2, 0, 2, 3, 2, 1, 2, 2, 1, 3, 1, 0, 2, 2, 4, 3, 4, 4, 3, 3, 2, 3, 2, 1, 3, 2, 0, 3, 3]
pubkeycol1317 = [1, 2, 4, 1, 0, 1, 3, 0, 0, 4, 1, 4, 3, 4, 0, 3, 1, 0, 1, 0, 3, 1, 0, 3, 2, 3, 3, 1, 0, 4, 4, 0, 2, 0, 3, 3, 4, 0, 3, 0, 4, 3, 1, 2, 0, 0, 3, 4, 1, 3, 0, 3, 2, 1, 1, 4, 0, 4, 0, 0, 1, 1, 3, 0, 3, 0, 1, 2, 3, 3, 4, 3, 4, 2, 1, 1, 3, 4, 0, 4, 2, 0, 1, 0, 2, 4, 0, 2, 0, 4, 2, 4, 1, 0, 1, 3, 2, 0, 1, 0, 3, 2, 3, 1, 4, 3, 4, 2, 2, 3, 4, 0, 2, 1, 0, 3, 2, 0, 4, 3, 1, 3, 4, 0, 2, 0, 4, 0, 3, 0, 1, 3, 0, 0, 2, 0, 0, 1, 1, 4, 2, 2, 2, 2, 2, 4, 3, 4, 0, 2, 1, 3, 4, 2, 0, 0, 3, 4, 4, 1, 3, 2, 1, 3, 3, 4, 1, 3, 4, 1, 3, 1, 0, 3, 1, 0, 0, 0, 0, 4, 3, 3, 3, 0, 1, 4, 4, 2, 0, 1, 2, 2, 3, 2, 3, 2, 3, 4, 2, 2, 1, 3, 1, 1, 2, 1, 3, 2, 0, 4, 4, 0, 4, 3, 2, 1, 3, 0, 2, 2, 2, 2, 1, 0, 4, 2, 0, 4, 2, 4, 1, 3, 3, 1, 4, 1, 1, 2, 4, 3, 3, 4, 0, 0, 2, 3, 0, 1, 2, 0, 0, 2, 1, 4, 0, 1, 1, 3, 0, 1, 4, 4, 2, 2, 1, 1, 0, 1, 2, 3, 3, 1, 4, 4, 4, 3, 1, 3, 2, 1, 4, 2, 0, 0, 4, 3, 1, 1, 1, 2, 3, 2, 0, 4, 3, 0, 1, 3, 2, 0, 1, 4, 1, 3, 2, 4, 3, 1, 3, 3, 0, 3, 2, 1, 4, 0, 1, 1, 0, 1, 0, 3, 4, 0, 2, 0, 3, 4, 3, 0, 0, 0, 2, 1, 0, 1, 3, 3, 0, 1, 3, 0, 2, 2, 0, 3, 0, 4, 1, 1, 1, 2, 3, 0, 2, 1, 2, 2, 2, 2, 4, 2, 3, 0, 4, 1, 2, 0, 1, 0, 3, 0, 3, 3, 4, 3, 1, 3, 3, 3, 0, 2, 2, 1, 1, 3, 4, 4, 3, 2, 4, 1, 3, 1, 1, 2, 2, 1, 1, 2, 1, 4, 3, 3, 4, 0, 1, 2, 3, 4, 0, 1, 3, 3, 4, 0, 3, 0, 4, 3, 3, 1, 1, 3, 4, 1, 1, 0, 4, 3, 1, 4, 1, 2, 2, 0, 2, 4, 0, 4, 2, 4, 0, 0, 3, 3, 4, 0, 0, 4, 1, 0, 2, 3, 1, 2, 4, 3, 3, 4, 1, 0, 2, 2, 2, 3, 1, 2, 1, 4, 1, 1, 1, 2, 3, 3, 2, 1, 1, 4, 0, 1, 2, 2, 3, 2, 1, 4, 3, 0, 0, 4, 0, 1, 0, 0, 4, 1, 3, 2, 2, 2, 2, 1, 1]
pubkeycol1318 = [2, 1, 4, 3, 0, 4, 4, 4, 4, 3, 3, 1, 3, 1, 2, 4, 3, 2, 1, 2, 0, 0, 3, 4, 2, 3, 1, 2, 2, 3, 1, 0, 3, 3, 4, 0, 0, 1, 3, 1, 2, 0, 3, 2, 2, 1, 0, 2, 4, 2, 1, 2, 0, 1, 4, 1, 3, 3, 0, 0, 2, 4, 3, 1, 2, 1, 0, 1, 3, 3, 1, 4, 0, 1, 4, 3, 1, 1, 4, 1, 2, 1, 3, 2, 4, 2, 4, 4, 4, 1, 3, 1, 0, 3, 0, 4, 2, 2, 3, 1, 0, 3, 2, 3, 4, 0, 4, 4, 2, 0, 4, 0, 4, 0, 3, 2, 3, 1, 4, 2, 1, 0, 3, 3, 4, 2, 3, 4, 2, 2, 0, 0, 2, 1, 3, 1, 3, 1, 1, 2, 3, 2, 0, 2, 0, 3, 2, 0, 4, 0, 2, 0, 3, 4, 4, 1, 1, 3, 4, 1, 0, 3, 0, 1, 3, 3, 3, 1, 3, 1, 2, 2, 2, 0, 2, 4, 4, 3, 0, 3, 2, 4, 0, 3, 3, 0, 4, 2, 3, 1, 0, 0, 3, 2, 1, 0, 2, 3, 2, 2, 2, 3, 2, 3, 1, 2, 3, 2, 1, 0, 2, 4, 0, 3, 0, 0, 2, 0, 4, 2, 1, 2, 0, 1, 0, 4, 2, 2, 4, 4, 0, 1, 1, 2, 4, 4, 4, 2, 3, 4, 0, 1, 4, 2, 2, 2, 2, 4, 3, 3, 1, 2, 3, 3, 3, 2, 1, 0, 3, 2, 1, 1, 4, 0, 0, 0, 1, 1, 4, 3, 2, 0, 0, 2, 0, 1, 3, 3, 4, 4, 3, 1, 1, 4, 0, 2, 2, 0, 1, 4, 4, 1, 1, 0, 1, 3, 3, 3, 1, 1, 2, 0, 2, 1, 4, 0, 0, 1, 2, 4, 2, 1, 2, 3, 0, 0, 4, 0, 2, 0, 2, 3, 2, 1, 4, 2, 1, 1, 1, 4, 4, 3, 4, 0, 2, 0, 0, 1, 1, 0, 4, 1, 4, 4, 1, 2, 0, 4, 0, 4, 2, 0, 3, 0, 0, 3, 2, 3, 1, 4, 1, 0, 0, 4, 1, 0, 4, 0, 1, 0, 2, 4, 0, 4, 4, 1, 4, 3, 4, 4, 1, 2, 4, 4, 1, 3, 2, 0, 2, 2, 2, 2, 0, 4, 0, 4, 2, 3, 3, 2, 3, 4, 2, 0, 0, 1, 4, 2, 2, 3, 0, 3, 1, 3, 4, 3, 0, 3, 2, 3, 1, 4, 2, 2, 0, 1, 1, 3, 0, 0, 1, 1, 4, 2, 1, 4, 3, 3, 1, 0, 4, 4, 1, 3, 3, 1, 3, 2, 0, 3, 2, 2, 3, 2, 0, 1, 0, 3, 3, 2, 1, 3, 3, 1, 3, 0, 1, 4, 1, 2, 4, 2, 3, 0, 4, 0, 2, 2, 1, 3, 2, 1, 1, 3, 4, 2, 0, 3, 1, 3, 4, 3, 4, 4, 4, 4, 3, 3, 0, 3, 3, 2, 4, 3, 1]
pubkeycol1319 = [2, 4, 2, 3, 4, 0, 3, 4, 4, 3, 2, 2, 1, 2, 4, 4, 1, 0, 2, 2, 3, 4, 0, 2, 1, 3, 2, 1, 3, 1, 3, 2, 0, 4, 3, 1, 0, 4, 4, 3, 3, 2, 3, 3, 2, 3, 0, 2, 0, 0, 0, 3, 4, 4, 3, 2, 2, 3, 1, 0, 2, 3, 1, 4, 3, 0, 0, 1, 1, 0, 3, 4, 3, 4, 3, 3, 2, 1, 2, 1, 3, 2, 4, 0, 3, 4, 0, 1, 1, 3, 4, 4, 4, 2, 4, 0, 4, 4, 0, 0, 4, 4, 3, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 4, 3, 3, 3, 1, 4, 2, 1, 0, 2, 4, 0, 4, 0, 2, 1, 0, 4, 4, 2, 3, 4, 3, 2, 4, 1, 1, 3, 0, 2, 2, 4, 4, 1, 2, 4, 3, 4, 4, 0, 3, 0, 4, 4, 2, 3, 0, 4, 3, 4, 1, 2, 0, 4, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 3, 0, 1, 2, 3, 1, 1, 1, 4, 1, 1, 2, 1, 3, 4, 4, 0, 0, 3, 2, 4, 4, 0, 4, 3, 4, 2, 2, 4, 2, 4, 1, 2, 1, 2, 1, 2, 1, 0, 2, 4, 0, 0, 4, 3, 2, 0, 3, 4, 2, 4, 1, 0, 1, 0, 3, 4, 1, 2, 3, 2, 3, 3, 0, 1, 2, 2, 1, 4, 2, 3, 4, 3, 3, 0, 2, 2, 0, 3, 0, 0, 1, 2, 0, 4, 1, 4, 2, 3, 3, 2, 1, 4, 0, 4, 2, 2, 0, 4, 2, 2, 2, 1, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 3, 2, 2, 3, 3, 4, 2, 0, 2, 2, 2, 2, 3, 2, 2, 2, 4, 4, 1, 0, 3, 2, 1, 0, 0, 1, 2, 4, 1, 3, 0, 2, 3, 3, 3, 0, 0, 4, 0, 3, 4, 4, 3, 0, 0, 3, 2, 0, 1, 1, 3, 4, 0, 0, 2, 3, 1, 2, 1, 1, 3, 1, 4, 0, 3, 4, 0, 0, 1, 3, 2, 1, 2, 4, 4, 3, 0, 4, 2, 1, 2, 0, 3, 0, 0, 2, 3, 0, 4, 4, 0, 2, 2, 3, 2, 1, 0, 0, 4, 2, 1, 2, 2, 4, 4, 2, 1, 2, 4, 3, 0, 2, 1, 1, 2, 1, 3, 2, 2, 2, 1, 1, 3, 0, 0, 4, 1, 4, 1, 0, 1, 0, 4, 0, 4, 2, 1, 2, 0, 2, 4, 3, 3, 2, 4, 4, 2, 4, 4, 3, 0, 3, 0, 2, 1, 0, 2, 1, 2, 3, 4, 1, 2, 3, 4, 2, 4, 4, 3, 4, 2, 3, 2, 0, 3, 2, 3, 2, 1, 0, 2, 1, 2, 4, 1, 3, 3, 0, 0, 4, 1, 3, 2, 4, 0, 3, 1, 1, 3, 4, 0, 2, 0, 4, 3, 1, 3, 4, 4, 1, 3, 3, 2]
pubkeycol1320 = [4, 3, 4, 3, 2, 2, 2, 0, 3, 1, 1, 0, 0, 1, 2, 3, 1, 2, 2, 4, 0, 0, 0, 4, 3, 0, 2, 3, 2, 1, 3, 2, 4, 4, 1, 4, 3, 3, 3, 4, 1, 2, 1, 3, 1, 3, 3, 0, 0, 4, 0, 4, 3, 4, 3, 2, 3, 2, 3, 1, 4, 3, 3, 1, 2, 3, 0, 0, 2, 0, 1, 0, 0, 3, 1, 3, 4, 0, 2, 3, 4, 0, 4, 4, 2, 3, 2, 1, 1, 2, 1, 3, 3, 0, 3, 1, 1, 1, 3, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 4, 4, 1, 3, 0, 2, 1, 3, 0, 2, 1, 3, 4, 1, 1, 0, 4, 2, 3, 2, 2, 4, 0, 4, 4, 0, 2, 1, 0, 3, 4, 0, 0, 4, 1, 2, 0, 0, 2, 3, 0, 1, 4, 3, 2, 3, 2, 2, 4, 4, 4, 4, 4, 3, 1, 0, 2, 1, 2, 4, 4, 1, 1, 2, 2, 4, 4, 3, 4, 0, 3, 3, 2, 2, 4, 2, 3, 3, 4, 1, 4, 0, 3, 1, 3, 4, 4, 4, 4, 2, 4, 2, 4, 3, 1, 4, 4, 1, 2, 3, 1, 1, 0, 3, 3, 1, 0, 0, 2, 4, 4, 0, 2, 4, 0, 4, 4, 0, 2, 4, 3, 4, 4, 2, 3, 4, 3, 1, 1, 1, 4, 1, 1, 3, 1, 0, 3, 2, 2, 0, 4, 3, 4, 1, 1, 2, 4, 4, 2, 2, 0, 1, 0, 4, 3, 2, 3, 4, 3, 0, 0, 2, 0, 0, 0, 0, 1, 3, 1, 1, 3, 3, 1, 1, 3, 3, 4, 1, 4, 3, 2, 0, 4, 1, 0, 4, 4, 1, 2, 1, 2, 3, 3, 2, 0, 1, 1, 4, 2, 3, 2, 3, 4, 1, 2, 4, 4, 0, 1, 3, 2, 2, 0, 3, 3, 1, 2, 1, 4, 4, 1, 3, 1, 1, 0, 0, 0, 4, 3, 1, 0, 2, 4, 1, 3, 0, 3, 4, 2, 2, 3, 3, 2, 2, 2, 4, 2, 2, 1, 1, 3, 0, 4, 2, 4, 0, 3, 0, 2, 1, 3, 1, 3, 1, 3, 2, 4, 3, 4, 1, 2, 4, 3, 3, 3, 0, 1, 2, 3, 0, 3, 2, 2, 1, 3, 0, 4, 1, 3, 0, 2, 3, 2, 1, 3, 1, 0, 1, 1, 1, 4, 2, 4, 4, 1, 2, 3, 0, 0, 1, 4, 1, 3, 1, 0, 2, 2, 1, 4, 1, 4, 2, 4, 4, 0, 3, 4, 1, 3, 4, 1, 1, 2, 4, 2, 2, 4, 3, 1, 4, 0, 2, 2, 0, 4, 3, 1, 1, 1, 2, 0, 3, 0, 0, 0, 0, 0, 1, 1, 4, 0, 4, 0, 2, 3, 1, 2, 2, 2, 4, 1, 3, 2, 0, 0, 3, 2, 0, 3, 4, 3, 2, 0, 4, 0, 3, 1, 4, 4, 3, 3, 1, 3, 1, 1]
pubkeycol1321 = [4, 2, 3, 0, 2, 1, 4, 2, 4, 2, 2, 2, 2, 0, 3, 1, 1, 2, 4, 4, 2, 2, 1, 2, 3, 2, 0, 1, 1, 2, 1, 3, 3, 3, 4, 3, 4, 3, 0, 0, 0, 1, 1, 4, 1, 2, 3, 1, 2, 2, 4, 4, 0, 2, 1, 4, 3, 3, 2, 0, 0, 0, 4, 2, 2, 1, 4, 3, 0, 0, 0, 4, 4, 3, 0, 2, 1, 0, 4, 2, 3, 2, 0, 1, 4, 3, 1, 2, 3, 1, 0, 0, 3, 2, 1, 4, 3, 3, 4, 4, 3, 1, 0, 2, 0, 2, 1, 1, 3, 3, 1, 1, 3, 4, 4, 2, 0, 3, 1, 1, 3, 0, 1, 1, 0, 2, 2, 4, 4, 2, 1, 3, 1, 1, 4, 0, 4, 0, 4, 0, 0, 1, 4, 1, 2, 3, 0, 0, 3, 2, 1, 3, 0, 2, 3, 2, 0, 2, 3, 4, 2, 2, 0, 3, 2, 2, 2, 4, 1, 3, 2, 0, 1, 1, 2, 3, 2, 1, 0, 2, 2, 4, 2, 3, 4, 3, 1, 3, 0, 3, 4, 0, 3, 1, 3, 1, 4, 0, 0, 1, 0, 0, 2, 4, 3, 2, 0, 3, 4, 1, 4, 1, 3, 4, 2, 2, 4, 1, 0, 2, 1, 4, 0, 3, 4, 0, 0, 3, 0, 4, 1, 3, 4, 1, 0, 1, 0, 1, 0, 0, 2, 4, 4, 3, 0, 2, 0, 1, 0, 3, 2, 0, 3, 3, 4, 1, 1, 1, 4, 3, 1, 4, 2, 1, 0, 1, 3, 4, 1, 0, 3, 2, 4, 0, 2, 1, 0, 4, 3, 0, 1, 0, 3, 3, 2, 0, 3, 0, 3, 3, 1, 3, 1, 4, 3, 2, 1, 2, 2, 0, 0, 3, 3, 4, 2, 2, 2, 4, 2, 3, 2, 3, 4, 3, 1, 1, 1, 2, 2, 4, 4, 1, 0, 2, 3, 0, 0, 1, 3, 4, 0, 4, 4, 4, 0, 0, 3, 4, 0, 1, 4, 3, 3, 0, 1, 1, 4, 0, 2, 2, 3, 1, 0, 3, 3, 1, 0, 2, 1, 3, 3, 1, 4, 2, 3, 4, 2, 0, 0, 0, 4, 0, 1, 3, 1, 3, 0, 1, 2, 3, 3, 2, 4, 4, 0, 4, 2, 1, 0, 2, 2, 2, 2, 4, 0, 4, 4, 2, 4, 2, 0, 0, 2, 3, 0, 0, 1, 4, 3, 0, 1, 1, 2, 2, 1, 4, 4, 2, 3, 2, 3, 1, 4, 3, 2, 1, 3, 4, 3, 4, 3, 0, 0, 3, 1, 2, 3, 3, 3, 1, 2, 0, 4, 1, 4, 4, 0, 0, 0, 0, 0, 4, 2, 2, 1, 2, 2, 3, 3, 1, 2, 4, 3, 1, 0, 1, 1, 0, 4, 2, 1, 3, 4, 3, 2, 0, 0, 3, 3, 2, 0, 4, 0, 0, 3, 3, 3, 3, 0, 1, 3, 3, 3, 2, 0, 3, 0, 4, 1, 0, 0, 2, 3, 1, 0]
pubkeycol1322 = [2, 4, 3, 3, 0, 3, 0, 3, 0, 1, 3, 0, 3, 1, 0, 2, 3, 4, 0, 2, 2, 2, 0, 2, 4, 3, 0, 3, 0, 4, 1, 4, 4, 2, 2, 3, 2, 2, 3, 1, 1, 2, 2, 0, 1, 2, 3, 4, 2, 3, 4, 0, 4, 3, 2, 4, 0, 2, 2, 3, 0, 2, 1, 1, 2, 3, 2, 2, 3, 4, 4, 1, 0, 4, 2, 0, 0, 3, 1, 1, 2, 0, 0, 3, 3, 2, 3, 0, 0, 2, 2, 4, 3, 4, 2, 2, 4, 2, 3, 2, 0, 2, 0, 1, 0, 1, 4, 2, 2, 1, 4, 1, 0, 3, 1, 3, 3, 1, 0, 2, 0, 0, 1, 1, 1, 4, 1, 1, 4, 1, 1, 2, 4, 0, 0, 4, 0, 4, 0, 3, 4, 4, 1, 4, 1, 2, 1, 4, 2, 2, 4, 0, 4, 2, 4, 3, 3, 4, 0, 1, 2, 2, 3, 2, 2, 4, 3, 2, 1, 1, 3, 1, 3, 2, 2, 2, 3, 3, 1, 1, 2, 2, 1, 4, 2, 4, 4, 2, 3, 0, 2, 4, 2, 3, 4, 2, 1, 3, 1, 1, 0, 4, 0, 4, 2, 2, 2, 3, 4, 1, 1, 4, 0, 3, 3, 3, 3, 1, 4, 4, 4, 4, 1, 2, 3, 1, 4, 0, 2, 4, 0, 4, 4, 2, 1, 4, 3, 4, 3, 2, 2, 4, 0, 4, 2, 4, 0, 2, 0, 3, 1, 2, 4, 2, 0, 0, 0, 1, 1, 1, 1, 1, 4, 0, 1, 0, 0, 3, 2, 0, 3, 4, 4, 2, 4, 3, 4, 0, 1, 4, 4, 3, 1, 0, 2, 1, 1, 0, 0, 4, 3, 2, 4, 1, 0, 4, 1, 1, 2, 2, 1, 2, 4, 3, 3, 1, 0, 2, 1, 3, 0, 0, 1, 1, 2, 1, 4, 0, 1, 1, 2, 3, 2, 1, 3, 4, 1, 0, 4, 1, 3, 0, 3, 2, 3, 4, 3, 0, 2, 3, 3, 4, 3, 4, 2, 3, 2, 3, 1, 1, 1, 1, 2, 3, 4, 2, 0, 1, 2, 4, 0, 1, 0, 3, 3, 0, 4, 2, 4, 1, 0, 0, 0, 4, 3, 1, 4, 0, 1, 4, 1, 0, 4, 0, 1, 1, 3, 0, 0, 3, 0, 3, 1, 1, 1, 3, 1, 0, 0, 3, 2, 0, 2, 2, 3, 3, 1, 0, 2, 2, 2, 4, 1, 1, 2, 0, 4, 0, 0, 2, 4, 3, 1, 3, 4, 4, 2, 2, 0, 3, 1, 2, 2, 2, 4, 4, 2, 2, 2, 2, 3, 2, 1, 1, 2, 3, 2, 4, 1, 2, 1, 2, 3, 0, 3, 3, 4, 0, 3, 3, 4, 2, 2, 2, 0, 3, 0, 4, 4, 0, 4, 1, 4, 4, 1, 3, 0, 1, 2, 4, 0, 4, 1, 1, 2, 3, 1, 4, 2, 2, 1, 0, 4, 1, 0, 2, 4, 1, 1, 2, 1, 3, 1, 0, 0]
pubkeycol1323 = [3, 3, 1, 4, 3, 2, 3, 1, 1, 2, 4, 0, 0, 2, 2, 4, 1, 0, 0, 0, 0, 4, 2, 1, 4, 3, 2, 2, 1, 4, 4, 1, 4, 4, 3, 0, 3, 4, 1, 0, 1, 2, 0, 0, 4, 1, 2, 1, 0, 4, 3, 0, 3, 0, 2, 3, 4, 0, 3, 4, 4, 2, 4, 3, 3, 3, 1, 0, 3, 1, 3, 1, 2, 0, 2, 3, 1, 1, 4, 4, 4, 3, 1, 1, 2, 2, 3, 3, 1, 0, 1, 4, 3, 0, 3, 1, 0, 1, 3, 1, 2, 0, 4, 2, 4, 2, 4, 0, 1, 3, 2, 2, 4, 4, 0, 1, 4, 2, 4, 3, 3, 1, 0, 0, 3, 0, 0, 2, 2, 3, 4, 2, 2, 0, 1, 2, 1, 4, 3, 4, 2, 4, 1, 0, 3, 2, 3, 4, 2, 4, 0, 3, 1, 3, 3, 1, 3, 0, 1, 0, 4, 2, 3, 3, 2, 4, 2, 1, 1, 4, 3, 3, 0, 1, 2, 4, 0, 2, 3, 2, 2, 1, 1, 3, 2, 1, 4, 2, 1, 1, 3, 0, 0, 2, 2, 0, 3, 0, 0, 0, 3, 0, 2, 3, 0, 3, 0, 1, 3, 0, 3, 4, 4, 3, 1, 3, 3, 1, 4, 4, 4, 3, 4, 4, 4, 2, 3, 3, 2, 3, 0, 2, 0, 2, 4, 3, 3, 4, 2, 4, 3, 3, 1, 2, 0, 3, 3, 4, 0, 0, 3, 1, 4, 4, 1, 4, 4, 2, 3, 3, 4, 2, 4, 2, 3, 0, 0, 4, 1, 3, 3, 2, 0, 1, 3, 1, 1, 3, 1, 1, 3, 0, 2, 1, 0, 3, 0, 0, 1, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 4, 2, 1, 1, 0, 0, 2, 2, 4, 0, 0, 2, 4, 3, 2, 1, 4, 4, 1, 0, 2, 3, 1, 1, 1, 4, 4, 2, 0, 3, 4, 1, 3, 2, 3, 4, 1, 4, 3, 3, 4, 3, 4, 4, 3, 1, 0, 3, 0, 4, 4, 2, 4, 1, 3, 2, 3, 2, 0, 2, 2, 1, 1, 3, 3, 1, 2, 1, 1, 3, 0, 2, 2, 3, 4, 3, 0, 2, 1, 1, 2, 4, 4, 4, 3, 1, 1, 4, 3, 4, 3, 0, 3, 2, 2, 2, 2, 3, 0, 3, 1, 4, 2, 4, 4, 4, 1, 1, 0, 4, 2, 4, 4, 0, 4, 3, 1, 4, 3, 3, 1, 3, 1, 4, 0, 1, 4, 3, 0, 1, 4, 4, 3, 1, 0, 3, 4, 3, 0, 3, 2, 0, 0, 2, 3, 4, 4, 2, 1, 1, 1, 1, 3, 0, 4, 1, 1, 2, 0, 3, 4, 3, 3, 3, 0, 2, 1, 3, 0, 3, 0, 0, 4, 4, 4, 3, 1, 4, 2, 3, 1, 3, 3, 2, 3, 0, 3, 3, 2, 4, 1, 4, 4, 0, 4, 0, 4, 1, 3, 3, 3, 4, 3, 1, 1, 2]
pubkeycol1324 = [3, 0, 4, 1, 1, 3, 4, 1, 4, 1, 0, 4, 1, 1, 0, 0, 4, 4, 4, 3, 3, 4, 2, 2, 3, 4, 2, 4, 1, 0, 3, 0, 2, 1, 1, 0, 4, 2, 3, 0, 1, 3, 4, 1, 4, 1, 3, 2, 4, 2, 0, 2, 3, 0, 3, 3, 2, 3, 1, 3, 0, 1, 4, 1, 4, 0, 1, 1, 4, 2, 1, 0, 4, 1, 0, 1, 0, 4, 3, 3, 3, 1, 2, 0, 1, 1, 1, 1, 3, 0, 2, 0, 4, 0, 2, 3, 3, 0, 3, 0, 3, 4, 3, 3, 2, 2, 0, 4, 3, 0, 4, 3, 2, 2, 1, 3, 2, 4, 2, 4, 3, 2, 4, 2, 4, 3, 4, 2, 3, 3, 1, 3, 0, 0, 2, 3, 3, 2, 3, 0, 0, 4, 1, 2, 4, 3, 0, 4, 4, 0, 0, 0, 1, 2, 2, 3, 1, 0, 0, 3, 4, 3, 4, 4, 0, 2, 2, 0, 0, 2, 1, 0, 4, 1, 1, 4, 1, 2, 0, 0, 0, 1, 2, 1, 3, 4, 1, 2, 0, 4, 2, 3, 2, 0, 3, 4, 2, 2, 1, 1, 3, 1, 1, 2, 4, 0, 4, 2, 0, 4, 4, 1, 2, 2, 1, 4, 1, 2, 1, 0, 4, 1, 2, 1, 4, 4, 1, 1, 0, 0, 4, 1, 0, 3, 0, 0, 4, 1, 0, 4, 2, 3, 2, 3, 3, 1, 4, 1, 4, 1, 4, 0, 3, 3, 0, 0, 1, 4, 1, 3, 0, 1, 2, 3, 0, 2, 4, 2, 0, 1, 2, 0, 3, 4, 1, 3, 3, 2, 2, 3, 4, 2, 1, 4, 2, 2, 0, 1, 2, 4, 4, 0, 0, 2, 2, 4, 3, 3, 2, 4, 4, 3, 0, 2, 3, 4, 3, 1, 3, 4, 4, 0, 4, 2, 3, 2, 0, 4, 1, 0, 1, 0, 3, 1, 1, 0, 1, 3, 2, 2, 2, 3, 0, 4, 4, 2, 4, 1, 3, 2, 0, 4, 1, 4, 2, 2, 1, 4, 0, 4, 0, 1, 4, 1, 1, 3, 1, 2, 4, 3, 1, 3, 2, 0, 2, 3, 1, 3, 2, 0, 4, 0, 1, 1, 3, 0, 2, 0, 3, 3, 0, 3, 4, 2, 0, 3, 0, 2, 2, 1, 3, 3, 0, 0, 1, 0, 0, 2, 2, 0, 0, 4, 0, 0, 2, 1, 1, 3, 0, 3, 0, 0, 4, 2, 3, 0, 2, 0, 2, 0, 1, 4, 4, 0, 4, 2, 2, 2, 0, 3, 3, 4, 4, 0, 0, 0, 4, 1, 0, 2, 0, 1, 0, 2, 1, 4, 2, 2, 0, 4, 4, 0, 3, 2, 4, 1, 4, 2, 3, 1, 3, 2, 3, 0, 1, 4, 4, 1, 3, 2, 4, 0, 4, 3, 0, 1, 1, 4, 4, 0, 1, 2, 4, 2, 2, 4, 4, 4, 1, 4, 2, 0, 4, 4, 1, 0, 1, 2, 3, 1, 4, 1, 3, 2, 1]
pubkeycol1325 = [4, 4, 0, 2, 1, 0, 0, 0, 3, 3, 1, 0, 1, 4, 1, 1, 3, 2, 0, 0, 2, 1, 3, 0, 3, 4, 3, 1, 3, 0, 1, 1, 1, 3, 2, 3, 0, 0, 1, 0, 2, 4, 2, 4, 4, 4, 1, 1, 2, 4, 2, 2, 4, 1, 0, 4, 0, 3, 3, 3, 4, 1, 2, 2, 0, 0, 4, 0, 3, 3, 3, 3, 3, 2, 3, 2, 0, 2, 4, 0, 3, 1, 2, 3, 0, 4, 4, 0, 1, 4, 0, 4, 2, 2, 1, 4, 4, 1, 3, 1, 0, 4, 1, 2, 2, 2, 3, 1, 4, 0, 4, 1, 4, 3, 2, 2, 4, 2, 2, 2, 0, 0, 4, 4, 0, 0, 2, 1, 4, 3, 0, 0, 3, 2, 1, 1, 3, 2, 0, 4, 3, 3, 4, 4, 0, 1, 2, 2, 1, 2, 4, 1, 2, 2, 0, 0, 1, 2, 1, 3, 2, 2, 3, 1, 3, 1, 0, 1, 0, 2, 2, 3, 2, 0, 0, 3, 2, 3, 4, 2, 3, 0, 3, 0, 3, 4, 4, 4, 3, 0, 1, 0, 4, 0, 1, 3, 1, 2, 0, 2, 4, 0, 1, 4, 1, 1, 3, 4, 1, 2, 0, 1, 0, 1, 2, 0, 0, 4, 4, 2, 0, 2, 2, 1, 0, 4, 4, 4, 4, 3, 0, 4, 3, 0, 2, 1, 2, 2, 4, 1, 2, 4, 0, 4, 0, 3, 0, 2, 0, 4, 0, 2, 3, 1, 2, 1, 1, 4, 3, 0, 2, 2, 4, 3, 4, 0, 0, 2, 0, 2, 0, 4, 4, 0, 3, 3, 1, 2, 4, 3, 1, 2, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 3, 4, 4, 3, 1, 4, 4, 4, 4, 2, 0, 3, 0, 0, 3, 3, 1, 2, 2, 0, 0, 2, 4, 0, 1, 3, 4, 1, 4, 1, 2, 4, 3, 1, 0, 2, 1, 4, 0, 0, 1, 2, 3, 3, 0, 4, 3, 1, 4, 4, 2, 1, 1, 2, 2, 3, 1, 4, 2, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 2, 3, 1, 1, 3, 4, 2, 4, 2, 2, 2, 4, 4, 0, 1, 3, 3, 4, 1, 4, 4, 1, 0, 3, 1, 1, 4, 0, 2, 0, 0, 4, 4, 4, 1, 4, 2, 3, 4, 4, 3, 3, 3, 1, 3, 0, 0, 1, 2, 2, 1, 4, 2, 3, 0, 0, 3, 3, 3, 4, 1, 1, 4, 1, 3, 0, 0, 4, 2, 2, 0, 0, 0, 4, 0, 2, 3, 3, 4, 4, 2, 3, 3, 2, 3, 4, 3, 3, 3, 4, 2, 4, 4, 0, 1, 3, 2, 1, 0, 0, 0, 1, 1, 0, 0, 4, 1, 1, 3, 1, 2, 4, 2, 2, 4, 0, 0, 2, 4, 1, 2, 1, 1, 0, 4, 0, 0, 3, 2, 2, 0, 3, 3, 4, 2, 2, 1, 4, 0, 0, 3, 4, 4]
pubkeycol1326 = [4, 0, 3, 2, 1, 3, 3, 0, 4, 2, 1, 2, 0, 4, 0, 1, 1, 4, 0, 0, 4, 3, 0, 2, 3, 3, 0, 3, 1, 0, 3, 3, 1, 3, 4, 3, 1, 0, 0, 1, 0, 4, 2, 0, 0, 4, 3, 2, 1, 2, 0, 4, 3, 4, 0, 3, 4, 0, 2, 4, 1, 2, 2, 4, 1, 0, 0, 1, 2, 0, 3, 1, 3, 0, 4, 3, 2, 0, 0, 3, 4, 0, 1, 3, 1, 2, 3, 2, 3, 4, 4, 0, 1, 1, 2, 1, 1, 1, 2, 2, 4, 4, 2, 3, 4, 4, 0, 4, 0, 3, 4, 0, 0, 2, 1, 2, 3, 2, 2, 4, 2, 1, 1, 0, 4, 3, 0, 0, 0, 1, 4, 2, 3, 2, 4, 4, 2, 1, 4, 0, 2, 4, 3, 1, 0, 4, 1, 2, 2, 4, 2, 2, 4, 0, 4, 2, 4, 4, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 3, 4, 2, 3, 0, 2, 2, 1, 1, 2, 3, 1, 4, 3, 2, 0, 1, 1, 2, 0, 2, 2, 2, 3, 2, 3, 1, 2, 3, 3, 1, 2, 1, 3, 1, 2, 1, 0, 4, 4, 2, 1, 0, 3, 0, 0, 2, 4, 1, 4, 1, 0, 0, 2, 0, 4, 2, 1, 3, 4, 0, 3, 0, 1, 4, 0, 2, 2, 4, 4, 3, 0, 3, 0, 3, 0, 2, 3, 1, 4, 0, 1, 4, 1, 3, 3, 2, 3, 0, 2, 3, 2, 0, 4, 0, 4, 4, 4, 1, 1, 0, 3, 4, 1, 4, 0, 1, 2, 2, 0, 1, 4, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 4, 3, 2, 4, 0, 3, 3, 4, 2, 1, 4, 1, 3, 2, 4, 0, 2, 0, 2, 3, 3, 2, 1, 1, 3, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 3, 1, 2, 0, 3, 0, 1, 0, 2, 0, 2, 0, 3, 1, 2, 0, 4, 4, 2, 3, 4, 2, 4, 2, 2, 0, 1, 4, 3, 2, 4, 2, 1, 1, 1, 2, 1, 1, 1, 4, 3, 0, 3, 4, 1, 4, 0, 0, 1, 2, 1, 4, 2, 3, 4, 0, 1, 0, 1, 3, 0, 0, 3, 1, 0, 4, 3, 2, 2, 4, 1, 3, 3, 2, 1, 2, 3, 4, 0, 3, 3, 4, 1, 3, 0, 4, 1, 0, 2, 2, 2, 4, 2, 3, 4, 0, 0, 4, 2, 3, 4, 2, 3, 2, 0, 4, 4, 3, 0, 1, 2, 2, 1, 0, 4, 0, 4, 3, 4, 2, 0, 4, 4, 2, 4, 2, 2, 1, 4, 2, 2, 0, 4, 1, 3, 0, 4, 0, 1, 0, 1, 2, 3, 1, 0, 4, 4, 2, 2, 0, 4, 3, 3, 4, 1, 4, 3, 1, 4, 3, 2, 2, 1, 2, 1, 3, 3, 1, 0, 2, 3, 3, 0]
pubkeycol1327 = [2, 3, 1, 1, 0, 3, 4, 3, 2, 1, 0, 2, 3, 2, 4, 4, 3, 1, 4, 3, 1, 2, 2, 2, 4, 3, 1, 3, 1, 1, 3, 0, 2, 1, 2, 1, 2, 4, 2, 1, 0, 4, 2, 2, 4, 4, 4, 3, 3, 1, 2, 4, 3, 2, 3, 2, 4, 0, 4, 1, 3, 4, 3, 2, 0, 4, 4, 2, 2, 0, 4, 3, 3, 1, 3, 4, 1, 1, 2, 4, 4, 2, 4, 4, 1, 2, 1, 2, 0, 2, 4, 3, 0, 4, 4, 2, 0, 3, 4, 4, 1, 3, 4, 2, 1, 0, 4, 2, 1, 3, 1, 4, 1, 4, 1, 4, 2, 2, 0, 3, 2, 1, 0, 3, 1, 0, 2, 4, 1, 2, 1, 1, 4, 3, 0, 2, 4, 4, 3, 3, 2, 0, 0, 3, 0, 0, 2, 4, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 3, 1, 0, 3, 1, 4, 2, 0, 4, 4, 1, 4, 3, 1, 0, 4, 4, 1, 2, 3, 0, 1, 3, 1, 1, 3, 3, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 4, 2, 3, 1, 1, 2, 4, 0, 1, 3, 1, 3, 4, 3, 1, 1, 3, 4, 4, 4, 1, 3, 0, 4, 2, 4, 1, 2, 0, 3, 3, 3, 2, 4, 3, 0, 3, 2, 0, 4, 1, 1, 0, 3, 3, 0, 3, 0, 4, 0, 0, 3, 3, 3, 0, 1, 0, 4, 2, 1, 1, 4, 4, 2, 2, 2, 3, 4, 0, 3, 1, 3, 0, 2, 3, 0, 0, 1, 0, 1, 2, 1, 0, 1, 4, 2, 3, 1, 0, 0, 4, 4, 3, 3, 0, 2, 1, 3, 4, 2, 1, 3, 1, 3, 4, 2, 2, 4, 2, 4, 0, 0, 4, 4, 0, 3, 3, 3, 4, 4, 2, 1, 1, 3, 0, 4, 4, 2, 4, 4, 1, 1, 4, 3, 2, 1, 2, 3, 0, 1, 0, 3, 4, 2, 1, 4, 0, 1, 0, 2, 4, 2, 2, 4, 3, 4, 0, 4, 4, 2, 0, 4, 0, 2, 1, 3, 2, 2, 1, 1, 3, 3, 4, 0, 4, 0, 3, 1, 3, 2, 1, 2, 2, 3, 3, 4, 2, 3, 1, 3, 1, 4, 2, 3, 2, 1, 0, 4, 1, 1, 3, 4, 1, 3, 3, 0, 3, 0, 4, 1, 0, 1, 0, 4, 4, 4, 2, 4, 4, 1, 3, 2, 2, 2, 4, 4, 4, 3, 4, 2, 1, 0, 4, 3, 3, 2, 0, 4, 1, 3, 0, 4, 3, 0, 4, 2, 2, 4, 2, 1, 2, 3, 2, 1, 3, 0, 1, 1, 2, 0, 2, 1, 2, 4, 4, 2, 4, 3, 3, 2, 2, 3, 2, 2, 3, 0, 2, 3, 2, 0, 1, 3, 3, 1, 2, 4, 3, 2, 1, 3, 3, 1, 0, 2, 2, 2, 3, 4, 4, 1, 0, 4, 2, 0, 3, 0, 1, 3, 4, 4]
pubkeycol1328 = [1, 1, 4, 4, 2, 3, 2, 1, 3, 3, 2, 0, 4, 0, 2, 1, 3, 2, 2, 3, 1, 2, 1, 1, 0, 1, 2, 0, 4, 3, 4, 4, 2, 4, 1, 1, 2, 4, 0, 0, 4, 1, 4, 4, 1, 1, 4, 0, 1, 3, 3, 2, 0, 0, 4, 0, 0, 0, 3, 4, 0, 3, 2, 3, 3, 4, 3, 1, 0, 3, 1, 4, 1, 1, 2, 0, 4, 2, 1, 2, 4, 0, 0, 0, 4, 1, 1, 0, 3, 4, 1, 1, 2, 1, 3, 1, 2, 1, 4, 0, 0, 4, 0, 1, 1, 1, 4, 2, 2, 3, 3, 4, 4, 1, 4, 3, 0, 1, 3, 2, 3, 3, 3, 2, 3, 3, 4, 0, 0, 2, 0, 3, 4, 3, 3, 1, 3, 1, 1, 0, 2, 4, 3, 2, 3, 1, 0, 2, 0, 2, 4, 2, 1, 1, 2, 3, 0, 2, 1, 0, 2, 4, 1, 3, 4, 3, 4, 3, 1, 2, 4, 0, 2, 4, 4, 1, 2, 3, 3, 0, 4, 1, 1, 4, 3, 0, 2, 1, 4, 0, 3, 0, 1, 1, 2, 1, 2, 0, 0, 3, 0, 3, 2, 2, 0, 1, 3, 2, 1, 2, 4, 0, 4, 2, 3, 3, 3, 4, 4, 4, 3, 1, 4, 2, 4, 3, 3, 2, 4, 1, 2, 4, 0, 1, 1, 0, 3, 1, 1, 3, 1, 2, 4, 0, 0, 2, 2, 3, 3, 3, 0, 3, 0, 3, 1, 3, 0, 0, 2, 0, 4, 2, 0, 0, 2, 3, 1, 4, 1, 1, 1, 3, 0, 0, 4, 1, 0, 1, 4, 3, 3, 1, 4, 4, 0, 3, 4, 1, 2, 3, 2, 0, 2, 3, 1, 3, 0, 1, 4, 1, 0, 4, 2, 1, 4, 0, 3, 0, 0, 2, 3, 0, 1, 2, 2, 3, 1, 0, 1, 4, 3, 4, 4, 4, 1, 2, 2, 0, 3, 1, 2, 2, 2, 0, 0, 1, 2, 1, 4, 4, 4, 3, 2, 0, 2, 0, 0, 4, 4, 2, 4, 4, 2, 4, 3, 4, 3, 2, 0, 3, 3, 2, 1, 0, 0, 4, 0, 0, 0, 0, 2, 3, 3, 1, 0, 0, 3, 3, 2, 4, 0, 3, 1, 0, 1, 4, 1, 0, 2, 3, 1, 4, 1, 4, 2, 2, 4, 0, 1, 0, 2, 2, 3, 1, 0, 0, 0, 0, 4, 1, 1, 3, 1, 4, 1, 0, 4, 2, 4, 2, 1, 2, 1, 1, 2, 4, 2, 3, 4, 1, 3, 1, 4, 0, 0, 1, 0, 4, 3, 3, 3, 4, 4, 1, 0, 4, 1, 0, 3, 1, 1, 3, 4, 0, 0, 1, 0, 4, 0, 3, 0, 4, 3, 3, 0, 4, 4, 4, 0, 4, 0, 1, 0, 2, 1, 3, 0, 4, 1, 1, 0, 1, 1, 3, 0, 4, 0, 2, 4, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 4, 1, 3, 0, 2]
pubkeycol1329 = [3, 3, 2, 3, 2, 3, 1, 4, 3, 2, 2, 3, 1, 0, 1, 2, 4, 0, 3, 1, 1, 0, 0, 0, 3, 3, 4, 3, 1, 0, 1, 3, 4, 1, 2, 2, 4, 4, 0, 4, 4, 1, 0, 2, 2, 3, 4, 1, 0, 3, 2, 3, 1, 2, 2, 3, 0, 1, 3, 1, 4, 4, 1, 4, 4, 1, 1, 4, 4, 4, 2, 1, 0, 2, 0, 2, 0, 2, 1, 4, 2, 4, 0, 2, 4, 3, 2, 3, 2, 1, 0, 2, 3, 0, 1, 1, 1, 4, 1, 4, 4, 1, 2, 0, 4, 2, 4, 0, 2, 2, 4, 0, 1, 2, 2, 3, 1, 1, 1, 0, 4, 2, 1, 0, 4, 0, 4, 3, 4, 1, 1, 0, 0, 3, 3, 3, 1, 3, 3, 4, 3, 4, 3, 3, 2, 3, 4, 1, 2, 2, 1, 4, 4, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 3, 2, 4, 1, 0, 2, 1, 2, 2, 1, 2, 4, 1, 0, 4, 3, 1, 4, 4, 1, 3, 0, 1, 2, 2, 0, 3, 1, 1, 3, 1, 0, 3, 3, 2, 1, 4, 1, 4, 1, 0, 0, 2, 1, 4, 4, 0, 0, 2, 3, 4, 1, 0, 3, 4, 4, 4, 1, 3, 1, 4, 4, 2, 3, 1, 0, 2, 1, 1, 4, 1, 4, 2, 1, 3, 1, 2, 4, 4, 3, 3, 2, 0, 1, 0, 3, 1, 4, 2, 2, 1, 2, 3, 3, 1, 0, 3, 0, 3, 1, 3, 3, 1, 0, 4, 3, 2, 0, 1, 1, 0, 4, 0, 4, 1, 4, 4, 2, 3, 4, 4, 3, 1, 1, 3, 4, 2, 1, 4, 4, 3, 1, 3, 4, 1, 3, 3, 4, 3, 4, 3, 2, 3, 2, 0, 1, 1, 4, 4, 0, 4, 3, 1, 4, 2, 0, 3, 1, 1, 2, 1, 3, 1, 2, 3, 4, 0, 3, 2, 2, 4, 2, 2, 4, 4, 4, 0, 2, 4, 4, 4, 0, 1, 4, 2, 3, 0, 2, 1, 4, 0, 1, 4, 4, 1, 4, 1, 3, 2, 3, 1, 3, 3, 0, 1, 2, 4, 2, 1, 0, 4, 0, 3, 0, 0, 2, 0, 0, 1, 2, 4, 3, 2, 2, 2, 2, 0, 2, 3, 0, 1, 0, 3, 0, 1, 1, 4, 0, 0, 2, 4, 2, 4, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 4, 3, 1, 4, 0, 1, 0, 2, 2, 0, 4, 2, 1, 1, 4, 4, 4, 3, 3, 2, 3, 2, 4, 4, 0, 2, 0, 0, 3, 2, 0, 3, 3, 2, 1, 3, 0, 0, 4, 4, 1, 2, 0, 4, 0, 0, 4, 3, 0, 1, 3, 4, 1, 3, 2, 4, 0, 2, 4, 3, 4, 1, 1, 2, 1, 1, 1, 0, 3, 2, 3, 4, 4, 2, 2, 2, 2, 1, 0, 4, 0, 2]
pubkeycol1330 = [0, 3, 2, 1, 4, 1, 3, 0, 1, 0, 0, 4, 4, 4, 2, 1, 4, 0, 4, 3, 3, 4, 1, 3, 4, 4, 3, 2, 2, 0, 4, 3, 0, 4, 4, 1, 1, 4, 4, 2, 0, 4, 2, 0, 1, 4, 4, 2, 0, 2, 2, 2, 3, 2, 0, 0, 4, 4, 0, 0, 2, 2, 2, 2, 0, 3, 2, 0, 3, 4, 0, 0, 4, 2, 0, 0, 2, 1, 1, 3, 3, 1, 2, 2, 0, 2, 0, 2, 3, 4, 1, 4, 3, 2, 3, 0, 1, 3, 1, 1, 0, 1, 0, 4, 3, 1, 4, 4, 0, 4, 4, 0, 2, 0, 0, 4, 3, 2, 4, 0, 4, 1, 0, 3, 0, 4, 3, 2, 4, 4, 4, 2, 2, 3, 2, 3, 2, 2, 2, 3, 2, 0, 0, 1, 0, 0, 0, 2, 3, 1, 0, 3, 4, 2, 1, 0, 2, 0, 3, 1, 4, 0, 3, 0, 3, 2, 0, 4, 3, 4, 1, 1, 3, 3, 0, 3, 0, 0, 0, 4, 3, 4, 4, 3, 4, 1, 0, 4, 4, 2, 3, 3, 0, 3, 3, 4, 3, 2, 1, 3, 3, 1, 2, 1, 2, 2, 3, 0, 2, 2, 0, 4, 2, 3, 3, 0, 4, 0, 1, 1, 3, 3, 1, 1, 3, 3, 4, 4, 4, 1, 0, 0, 3, 1, 4, 2, 1, 3, 4, 0, 1, 1, 4, 1, 0, 3, 1, 0, 0, 1, 4, 3, 1, 0, 0, 4, 3, 0, 4, 1, 3, 0, 1, 2, 0, 3, 4, 4, 1, 0, 4, 0, 0, 2, 3, 0, 3, 1, 4, 0, 1, 1, 0, 0, 2, 0, 4, 2, 4, 3, 3, 3, 1, 4, 3, 2, 1, 1, 0, 0, 2, 4, 0, 4, 0, 2, 2, 2, 1, 0, 4, 2, 0, 0, 1, 0, 1, 1, 3, 0, 2, 1, 3, 0, 2, 2, 1, 3, 3, 2, 3, 0, 1, 2, 0, 4, 3, 3, 2, 1, 2, 0, 3, 2, 2, 4, 4, 2, 4, 2, 4, 4, 1, 1, 2, 3, 3, 1, 2, 0, 4, 3, 4, 3, 4, 4, 1, 0, 2, 3, 1, 0, 3, 3, 0, 1, 4, 2, 2, 2, 1, 4, 3, 4, 3, 2, 3, 3, 3, 0, 2, 2, 0, 3, 4, 1, 0, 0, 3, 3, 3, 4, 2, 4, 3, 1, 4, 2, 2, 0, 0, 3, 4, 3, 2, 4, 3, 1, 2, 0, 2, 1, 2, 3, 1, 4, 0, 2, 3, 2, 1, 1, 1, 1, 3, 3, 0, 0, 2, 1, 1, 2, 0, 1, 4, 3, 0, 3, 4, 2, 4, 3, 3, 3, 1, 0, 4, 4, 2, 4, 0, 1, 1, 4, 0, 3, 1, 1, 0, 4, 3, 3, 0, 2, 2, 0, 4, 3, 2, 4, 3, 3, 4, 3, 2, 4, 2, 3, 3, 0, 0, 1, 4, 4, 1, 0, 3, 4, 2, 1, 2, 3, 2, 4, 0]
pubkeycol1331 = [0, 4, 0, 2, 2, 3, 1, 1, 3, 1, 4, 4, 0, 4, 4, 2, 2, 2, 4, 3, 4, 1, 1, 1, 3, 4, 3, 2, 0, 0, 3, 3, 3, 0, 0, 2, 3, 4, 4, 0, 3, 1, 0, 4, 3, 4, 2, 0, 4, 0, 0, 2, 3, 2, 3, 0, 1, 0, 2, 1, 2, 3, 2, 2, 0, 0, 0, 0, 0, 4, 4, 1, 0, 0, 0, 3, 3, 4, 2, 3, 1, 4, 2, 2, 1, 4, 3, 0, 1, 3, 2, 1, 0, 0, 2, 1, 3, 3, 2, 4, 1, 4, 3, 3, 0, 1, 3, 0, 4, 2, 3, 1, 1, 1, 4, 2, 0, 2, 2, 3, 3, 3, 4, 4, 3, 0, 0, 0, 2, 1, 2, 4, 4, 3, 1, 4, 1, 3, 1, 3, 3, 4, 1, 2, 2, 0, 2, 4, 4, 4, 1, 3, 4, 4, 1, 0, 0, 4, 2, 4, 0, 1, 1, 4, 2, 2, 4, 3, 4, 0, 4, 2, 3, 0, 1, 1, 3, 3, 3, 1, 0, 4, 0, 4, 1, 4, 3, 3, 2, 0, 4, 2, 1, 2, 3, 4, 1, 3, 3, 2, 1, 3, 0, 2, 1, 2, 0, 0, 1, 4, 0, 2, 2, 1, 4, 0, 4, 3, 2, 3, 3, 3, 4, 1, 0, 0, 3, 1, 2, 2, 2, 2, 4, 4, 0, 4, 3, 1, 1, 1, 0, 2, 1, 2, 3, 1, 1, 0, 3, 1, 3, 2, 0, 2, 1, 3, 0, 4, 1, 0, 3, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 3, 1, 1, 1, 4, 1, 4, 2, 1, 3, 0, 2, 3, 4, 4, 2, 1, 2, 3, 4, 4, 1, 2, 0, 2, 0, 2, 1, 0, 1, 3, 3, 1, 0, 2, 3, 3, 0, 4, 4, 4, 2, 3, 4, 2, 3, 4, 1, 3, 4, 4, 4, 4, 3, 4, 4, 2, 1, 3, 1, 1, 0, 1, 2, 2, 3, 3, 0, 3, 3, 3, 0, 0, 1, 3, 0, 0, 2, 4, 3, 0, 0, 1, 1, 3, 2, 2, 1, 4, 0, 0, 2, 4, 3, 1, 1, 1, 2, 0, 3, 3, 3, 3, 2, 4, 3, 1, 1, 3, 4, 1, 0, 0, 3, 1, 0, 3, 2, 0, 1, 3, 4, 1, 1, 0, 3, 0, 3, 0, 0, 3, 4, 4, 3, 3, 1, 1, 2, 0, 2, 3, 1, 1, 3, 3, 3, 1, 3, 3, 2, 1, 1, 2, 2, 2, 4, 3, 4, 4, 1, 3, 3, 3, 3, 2, 2, 1, 4, 2, 3, 2, 4, 1, 4, 2, 1, 0, 1, 0, 2, 4, 4, 2, 1, 1, 3, 4, 0, 0, 3, 4, 2, 3, 4, 2, 4, 3, 0, 4, 4, 4, 0, 1, 3, 2, 0, 1, 3, 2, 3, 1, 1, 1, 4, 0, 4, 3, 3, 0, 2, 1, 2, 1, 4, 1, 2, 2, 3, 3, 4, 3, 1, 2, 0]
pubkeycol1332 = [0, 0, 2, 3, 3, 2, 3, 1, 1, 2, 0, 1, 3, 0, 2, 1, 1, 4, 3, 3, 0, 4, 2, 3, 2, 3, 3, 1, 2, 2, 1, 0, 0, 0, 4, 3, 2, 4, 4, 0, 0, 4, 3, 1, 0, 0, 1, 4, 4, 1, 4, 4, 1, 1, 1, 4, 0, 4, 2, 1, 2, 4, 2, 0, 0, 1, 2, 4, 2, 2, 2, 2, 3, 1, 0, 0, 3, 3, 1, 1, 4, 0, 1, 4, 0, 3, 3, 3, 3, 0, 0, 4, 3, 1, 3, 0, 4, 0, 0, 3, 2, 2, 4, 1, 2, 0, 2, 0, 4, 0, 0, 0, 3, 2, 4, 0, 1, 0, 4, 1, 0, 4, 4, 2, 4, 0, 2, 4, 2, 4, 3, 2, 4, 4, 0, 4, 4, 4, 0, 3, 0, 2, 4, 2, 0, 0, 3, 2, 1, 0, 1, 2, 0, 0, 1, 4, 1, 1, 0, 2, 4, 4, 4, 1, 4, 0, 1, 2, 2, 3, 3, 0, 1, 1, 3, 0, 4, 2, 2, 4, 0, 1, 0, 2, 0, 3, 3, 2, 3, 4, 2, 4, 2, 2, 0, 3, 0, 1, 3, 1, 3, 0, 0, 4, 2, 4, 1, 0, 3, 2, 1, 0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 3, 4, 2, 4, 1, 4, 4, 2, 0, 0, 2, 2, 2, 3, 1, 1, 2, 2, 1, 3, 0, 0, 4, 2, 1, 1, 1, 2, 3, 2, 3, 3, 2, 0, 0, 0, 1, 3, 2, 0, 0, 3, 3, 2, 3, 1, 4, 0, 4, 1, 3, 3, 0, 4, 0, 4, 0, 4, 4, 2, 4, 3, 1, 4, 2, 0, 0, 3, 0, 3, 4, 4, 0, 0, 1, 2, 0, 4, 3, 3, 4, 4, 2, 0, 3, 1, 4, 4, 4, 0, 4, 3, 4, 4, 3, 1, 2, 2, 2, 3, 3, 2, 0, 1, 0, 4, 4, 1, 1, 2, 0, 1, 1, 4, 4, 0, 2, 3, 2, 3, 3, 4, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 4, 0, 4, 1, 0, 0, 2, 4, 1, 1, 0, 4, 1, 3, 0, 2, 1, 4, 4, 0, 0, 3, 0, 2, 4, 0, 1, 0, 3, 3, 3, 0, 4, 1, 0, 3, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 0, 4, 1, 2, 3, 2, 4, 0, 1, 0, 1, 0, 4, 0, 0, 1, 4, 1, 4, 3, 0, 1, 4, 1, 0, 1, 4, 3, 0, 1, 0, 3, 0, 0, 3, 4, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 4, 2, 3, 0, 2, 1, 0, 0, 0, 1, 0, 4, 3, 0, 0, 1, 1, 3, 0, 1, 1, 3, 4, 4, 0, 2, 3, 1, 0, 1, 1, 4, 0, 1, 4, 1, 3, 4, 3, 4, 4, 0, 2, 1, 0, 1, 1, 0, 1, 3, 0, 0, 0, 1, 3, 1, 3]
pubkeycol1333 = [2, 4, 3, 3, 3, 0, 2, 4, 4, 1, 0, 4, 2, 3, 2, 1, 2, 1, 0, 0, 1, 4, 2, 2, 3, 4, 0, 4, 1, 1, 4, 0, 2, 1, 1, 2, 1, 2, 4, 0, 1, 3, 0, 3, 0, 2, 3, 3, 3, 4, 2, 2, 1, 2, 2, 1, 1, 1, 4, 1, 1, 2, 4, 1, 3, 3, 0, 2, 4, 2, 0, 1, 3, 3, 4, 0, 1, 2, 4, 0, 3, 2, 2, 1, 3, 3, 3, 0, 2, 3, 3, 3, 3, 0, 4, 0, 3, 4, 2, 4, 2, 0, 0, 1, 4, 2, 1, 1, 4, 4, 2, 1, 2, 0, 2, 2, 3, 4, 4, 3, 3, 4, 1, 2, 2, 3, 4, 0, 4, 0, 3, 4, 3, 1, 2, 0, 4, 3, 3, 4, 2, 4, 4, 4, 0, 2, 3, 0, 0, 4, 2, 4, 4, 3, 3, 4, 2, 4, 1, 4, 2, 2, 2, 0, 2, 3, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 3, 0, 2, 1, 3, 0, 3, 2, 4, 1, 3, 2, 2, 1, 1, 0, 1, 2, 1, 2, 4, 4, 2, 4, 1, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2, 1, 3, 1, 4, 1, 1, 2, 4, 4, 3, 0, 1, 3, 2, 2, 1, 1, 4, 4, 2, 1, 4, 2, 0, 1, 1, 2, 1, 3, 3, 0, 0, 4, 3, 0, 2, 2, 2, 2, 4, 4, 0, 1, 3, 4, 4, 0, 2, 0, 3, 3, 4, 1, 4, 0, 2, 0, 4, 3, 2, 0, 2, 3, 3, 4, 2, 0, 0, 2, 2, 2, 1, 1, 3, 4, 4, 0, 0, 2, 4, 2, 0, 0, 4, 3, 0, 2, 4, 0, 2, 0, 1, 3, 3, 0, 1, 1, 1, 0, 3, 3, 3, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 3, 1, 0, 1, 1, 0, 1, 2, 1, 4, 2, 1, 4, 2, 2, 1, 0, 3, 2, 0, 3, 2, 4, 0, 2, 2, 3, 3, 0, 0, 0, 2, 1, 4, 2, 3, 2, 2, 2, 0, 2, 2, 2, 3, 3, 4, 0, 0, 2, 2, 0, 3, 0, 0, 2, 4, 0, 4, 2, 3, 3, 2, 0, 1, 4, 4, 3, 4, 4, 1, 0, 1, 0, 4, 0, 1, 1, 0, 4, 4, 4, 1, 4, 0, 1, 4, 2, 2, 3, 4, 1, 4, 0, 1, 0, 4, 0, 0, 0, 0, 0, 0, 2, 3, 3, 4, 0, 4, 1, 3, 3, 4, 0, 3, 1, 1, 0, 0, 3, 3, 1, 2, 1, 3, 4, 4, 2, 1, 1, 3, 2, 1, 1, 1, 0, 1, 2, 1, 3, 1, 1, 1, 1, 0, 1, 3, 3, 0, 3, 0, 2, 3, 1, 4, 4, 3, 1, 1, 4, 4, 3, 1, 3, 2, 3, 1, 3, 0, 3, 2, 0, 4, 3, 0, 2, 0, 3, 0, 1, 1, 3]
pubkeycol1334 = [2, 3, 3, 3, 3, 0, 2, 4, 4, 0, 1, 0, 3, 2, 2, 1, 4, 1, 4, 2, 3, 0, 0, 3, 1, 3, 2, 3, 4, 4, 2, 4, 2, 1, 0, 3, 0, 0, 1, 4, 1, 2, 2, 1, 1, 1, 3, 2, 2, 0, 2, 2, 3, 2, 2, 0, 2, 0, 4, 4, 1, 1, 3, 1, 4, 0, 1, 0, 4, 3, 4, 4, 0, 4, 4, 4, 0, 0, 1, 3, 1, 3, 2, 2, 3, 2, 4, 1, 3, 1, 1, 2, 0, 3, 2, 1, 0, 2, 1, 4, 2, 1, 3, 4, 1, 4, 0, 1, 4, 2, 2, 2, 4, 4, 3, 3, 2, 3, 1, 1, 0, 1, 3, 2, 2, 0, 3, 0, 3, 3, 2, 2, 4, 0, 2, 0, 3, 3, 1, 2, 1, 0, 0, 1, 4, 3, 3, 0, 4, 3, 0, 2, 3, 1, 2, 0, 3, 1, 2, 0, 0, 2, 0, 1, 3, 2, 2, 3, 0, 0, 3, 4, 2, 1, 1, 2, 4, 4, 2, 3, 4, 0, 1, 1, 4, 2, 0, 1, 3, 0, 2, 1, 4, 2, 4, 1, 0, 0, 2, 1, 3, 4, 4, 3, 2, 3, 4, 1, 3, 1, 0, 2, 3, 0, 1, 1, 2, 3, 2, 0, 1, 2, 0, 4, 4, 1, 3, 4, 4, 4, 1, 4, 2, 3, 3, 4, 4, 3, 0, 4, 1, 3, 2, 4, 1, 4, 4, 1, 2, 2, 0, 4, 4, 1, 4, 4, 1, 0, 1, 0, 2, 2, 4, 2, 2, 1, 1, 0, 2, 2, 0, 3, 3, 3, 4, 0, 4, 4, 4, 3, 2, 1, 1, 2, 0, 0, 3, 3, 4, 0, 0, 2, 0, 3, 0, 4, 3, 2, 2, 0, 2, 4, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 3, 2, 1, 3, 0, 2, 2, 1, 0, 3, 4, 4, 1, 1, 0, 2, 4, 4, 4, 1, 3, 3, 3, 3, 3, 1, 4, 4, 1, 3, 0, 1, 3, 1, 1, 0, 2, 4, 0, 3, 4, 2, 4, 0, 2, 1, 4, 3, 1, 2, 2, 4, 4, 2, 2, 1, 3, 3, 3, 0, 3, 1, 2, 1, 3, 3, 3, 4, 2, 2, 1, 1, 2, 3, 1, 3, 3, 2, 4, 1, 1, 4, 1, 3, 3, 0, 0, 1, 0, 1, 4, 1, 0, 4, 4, 1, 0, 4, 0, 2, 2, 2, 1, 2, 2, 3, 2, 3, 2, 4, 3, 4, 0, 1, 2, 1, 4, 0, 0, 1, 2, 4, 3, 4, 4, 4, 4, 0, 3, 2, 4, 3, 0, 2, 4, 1, 4, 4, 4, 4, 1, 3, 3, 4, 0, 3, 4, 3, 0, 1, 1, 4, 0, 4, 1, 1, 4, 2, 1, 0, 4, 3, 3, 0, 3, 1, 1, 2, 4, 1, 2, 3, 3, 3, 4, 2, 2, 3, 2, 3, 4, 4, 3, 2, 2, 1, 1, 2, 1, 3, 3, 0]
pubkeycol1335 = [3, 2, 0, 0, 1, 0, 2, 3, 4, 0, 3, 1, 4, 1, 2, 0, 4, 4, 3, 0, 0, 0, 1, 0, 2, 3, 3, 0, 0, 1, 4, 3, 2, 1, 2, 4, 3, 2, 3, 0, 1, 3, 2, 1, 0, 2, 0, 2, 0, 3, 4, 1, 3, 4, 4, 0, 2, 4, 3, 4, 0, 3, 2, 1, 4, 1, 1, 0, 2, 2, 4, 2, 1, 3, 1, 4, 3, 2, 3, 4, 3, 4, 0, 4, 3, 2, 1, 1, 2, 0, 3, 2, 3, 3, 3, 0, 2, 4, 4, 3, 1, 1, 4, 0, 3, 0, 0, 4, 0, 2, 4, 2, 4, 4, 3, 3, 0, 1, 1, 0, 1, 2, 4, 4, 0, 2, 4, 0, 1, 2, 2, 2, 3, 1, 4, 1, 0, 0, 0, 1, 3, 2, 2, 2, 1, 3, 0, 3, 2, 0, 4, 2, 2, 2, 4, 2, 0, 0, 1, 0, 3, 3, 3, 3, 4, 1, 3, 3, 2, 3, 0, 2, 3, 3, 4, 4, 2, 0, 4, 2, 3, 2, 2, 4, 2, 3, 2, 2, 0, 0, 1, 1, 1, 4, 2, 1, 1, 4, 2, 1, 0, 4, 2, 4, 3, 3, 4, 0, 4, 2, 1, 1, 1, 1, 4, 1, 3, 1, 4, 2, 1, 0, 0, 2, 1, 4, 1, 2, 2, 4, 1, 3, 0, 2, 0, 1, 0, 4, 1, 4, 3, 0, 3, 2, 2, 0, 0, 4, 4, 1, 2, 2, 4, 2, 2, 0, 1, 2, 3, 3, 4, 3, 1, 3, 1, 2, 2, 3, 4, 4, 0, 4, 0, 2, 2, 1, 2, 3, 3, 0, 4, 0, 3, 2, 3, 3, 4, 3, 1, 0, 3, 1, 0, 4, 2, 3, 4, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 4, 4, 4, 4, 0, 0, 2, 3, 2, 1, 3, 3, 1, 1, 4, 3, 0, 4, 3, 2, 1, 2, 2, 0, 3, 3, 0, 0, 3, 3, 4, 2, 4, 1, 3, 2, 2, 3, 3, 1, 0, 1, 3, 1, 2, 1, 0, 2, 1, 3, 3, 2, 0, 0, 4, 4, 4, 3, 0, 2, 4, 2, 3, 2, 2, 2, 2, 0, 4, 2, 0, 4, 4, 0, 1, 2, 2, 0, 0, 4, 0, 1, 2, 1, 0, 2, 2, 1, 3, 4, 2, 3, 0, 4, 4, 0, 3, 1, 2, 2, 4, 2, 3, 4, 3, 3, 0, 4, 3, 3, 1, 1, 3, 0, 4, 3, 4, 4, 2, 1, 2, 0, 4, 3, 2, 1, 1, 4, 4, 4, 1, 0, 2, 2, 1, 2, 1, 4, 1, 2, 2, 0, 4, 1, 1, 3, 2, 2, 0, 4, 3, 2, 3, 1, 4, 2, 3, 3, 0, 3, 2, 4, 4, 1, 0, 3, 0, 2, 3, 0, 2, 3, 2, 1, 0, 4, 4, 3, 0, 3, 4, 1, 3, 3, 1, 3, 3, 4, 1, 0, 1, 3, 1, 4, 4, 1, 1, 0]
pubkeycol1336 = [4, 3, 0, 2, 4, 1, 1, 3, 4, 0, 2, 0, 3, 4, 4, 4, 4, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 3, 4, 2, 4, 2, 2, 4, 1, 0, 4, 0, 4, 3, 1, 0, 1, 0, 3, 4, 1, 1, 2, 1, 1, 4, 4, 1, 4, 2, 0, 0, 4, 1, 2, 3, 0, 0, 4, 4, 0, 4, 0, 3, 3, 0, 0, 0, 1, 4, 1, 4, 0, 3, 4, 0, 4, 3, 0, 4, 3, 4, 2, 0, 1, 2, 2, 0, 3, 3, 1, 0, 1, 0, 3, 3, 1, 1, 4, 0, 1, 3, 4, 4, 2, 3, 4, 0, 2, 1, 4, 0, 0, 3, 4, 3, 4, 0, 3, 2, 2, 1, 0, 1, 3, 0, 3, 4, 1, 2, 4, 2, 4, 0, 4, 1, 3, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 3, 3, 1, 3, 4, 0, 2, 1, 4, 2, 2, 2, 3, 2, 3, 1, 4, 4, 0, 4, 3, 2, 2, 3, 2, 0, 3, 2, 0, 1, 2, 3, 4, 0, 3, 3, 0, 4, 3, 3, 0, 4, 1, 3, 3, 4, 4, 3, 4, 3, 1, 4, 0, 3, 1, 2, 4, 2, 3, 2, 2, 4, 0, 3, 4, 2, 0, 1, 0, 2, 0, 1, 1, 2, 3, 0, 2, 4, 1, 0, 3, 0, 1, 2, 0, 3, 0, 4, 2, 2, 4, 4, 3, 1, 0, 4, 0, 4, 4, 3, 3, 2, 2, 2, 0, 3, 4, 1, 1, 2, 3, 3, 0, 0, 2, 0, 4, 0, 1, 2, 3, 2, 4, 2, 4, 2, 3, 4, 0, 0, 2, 4, 3, 1, 3, 2, 1, 1, 2, 3, 4, 0, 1, 0, 0, 2, 0, 2, 3, 1, 0, 2, 1, 0, 2, 1, 2, 4, 3, 3, 1, 4, 0, 0, 4, 0, 2, 0, 4, 4, 2, 2, 2, 2, 3, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 3, 0, 1, 3, 1, 4, 3, 1, 3, 4, 2, 1, 4, 2, 0, 2, 1, 3, 1, 2, 0, 3, 1, 2, 0, 2, 4, 3, 0, 2, 1, 4, 2, 0, 1, 4, 1, 1, 3, 4, 0, 2, 0, 0, 3, 1, 0, 2, 2, 0, 2, 4, 4, 2, 1, 0, 1, 2, 4, 3, 2, 4, 4, 0, 2, 3, 0, 3, 0, 2, 1, 2, 2, 3, 0, 3, 1, 0, 2, 2, 1, 2, 2, 3, 3, 3, 1, 1, 1, 1, 1, 1, 3, 0, 4, 0, 3, 2, 3, 2, 0, 4, 4, 4, 2, 3, 4, 3, 4, 2, 4, 3, 4, 1, 2, 4, 0, 3, 0, 1, 2, 0, 2, 4, 0, 1, 1, 1, 0, 0, 4, 3, 2, 3, 4, 4, 0, 1, 1, 4, 0, 4, 1, 1, 2, 2, 1, 0, 3, 3, 3, 4, 0, 1, 4, 1, 1, 3, 2, 1]
pubkeycol1337 = [4, 3, 3, 4, 3, 3, 0, 3, 2, 0, 3, 0, 2, 4, 1, 3, 0, 2, 0, 1, 4, 3, 1, 0, 2, 2, 4, 1, 1, 0, 4, 1, 1, 1, 3, 2, 3, 4, 4, 2, 4, 1, 0, 4, 4, 4, 2, 2, 3, 4, 3, 1, 0, 1, 3, 3, 3, 3, 4, 3, 4, 0, 0, 0, 0, 0, 0, 2, 3, 1, 4, 4, 0, 4, 4, 0, 1, 3, 4, 2, 1, 1, 4, 2, 1, 4, 1, 2, 1, 2, 0, 0, 4, 3, 3, 2, 3, 4, 3, 0, 3, 4, 1, 0, 3, 4, 0, 1, 0, 3, 0, 1, 0, 4, 3, 0, 4, 3, 0, 2, 3, 3, 1, 1, 3, 0, 0, 3, 0, 3, 1, 2, 4, 2, 0, 3, 0, 2, 1, 1, 4, 4, 4, 3, 3, 0, 0, 2, 3, 3, 3, 0, 4, 2, 1, 1, 0, 1, 1, 0, 2, 4, 2, 0, 3, 3, 3, 1, 1, 0, 0, 2, 0, 4, 4, 1, 0, 4, 2, 4, 3, 1, 2, 4, 4, 1, 2, 3, 0, 3, 4, 0, 2, 4, 3, 1, 3, 2, 1, 1, 0, 2, 0, 2, 2, 1, 4, 0, 4, 2, 4, 0, 2, 0, 1, 4, 0, 4, 0, 2, 3, 0, 0, 2, 3, 3, 1, 1, 2, 3, 2, 1, 2, 0, 4, 1, 0, 3, 2, 2, 2, 1, 3, 3, 0, 4, 4, 1, 2, 0, 3, 2, 2, 3, 1, 4, 1, 0, 2, 4, 0, 4, 4, 3, 3, 3, 1, 3, 1, 0, 0, 0, 1, 1, 3, 0, 4, 0, 2, 3, 0, 3, 2, 2, 0, 0, 1, 2, 3, 1, 4, 0, 0, 2, 3, 3, 2, 0, 3, 3, 4, 1, 0, 1, 1, 2, 4, 2, 1, 0, 0, 3, 0, 1, 3, 1, 0, 3, 1, 1, 4, 2, 4, 4, 4, 2, 1, 0, 0, 0, 1, 2, 2, 4, 0, 1, 0, 2, 3, 1, 2, 1, 4, 4, 2, 0, 2, 3, 3, 0, 0, 1, 0, 4, 0, 3, 4, 0, 1, 2, 0, 1, 3, 4, 3, 3, 2, 3, 0, 1, 1, 4, 0, 4, 4, 3, 3, 3, 4, 0, 1, 1, 4, 3, 4, 0, 0, 2, 0, 0, 2, 4, 3, 3, 1, 4, 4, 1, 2, 4, 2, 0, 0, 0, 1, 4, 4, 3, 2, 4, 0, 0, 3, 0, 2, 2, 1, 1, 1, 1, 4, 0, 0, 2, 3, 4, 3, 3, 3, 0, 4, 1, 1, 1, 0, 2, 4, 0, 2, 1, 1, 0, 3, 2, 1, 2, 3, 4, 1, 4, 2, 2, 4, 3, 3, 0, 4, 3, 4, 2, 4, 1, 0, 2, 1, 3, 0, 4, 3, 1, 3, 1, 4, 0, 2, 2, 3, 2, 2, 0, 2, 1, 3, 2, 4, 2, 4, 1, 4, 2, 4, 1, 1, 3, 2, 3, 1, 3, 1, 1, 1, 1, 2, 2, 3]
pubkeycol1338 = [1, 4, 1, 0, 4, 4, 2, 3, 4, 0, 1, 2, 2, 4, 4, 3, 4, 1, 3, 2, 0, 4, 0, 3, 0, 0, 4, 1, 0, 4, 4, 1, 0, 3, 2, 0, 0, 3, 0, 2, 3, 3, 3, 3, 3, 1, 4, 0, 3, 4, 3, 4, 1, 0, 0, 3, 1, 1, 4, 3, 1, 4, 2, 3, 0, 0, 0, 2, 0, 0, 3, 1, 3, 1, 0, 2, 2, 1, 4, 1, 1, 0, 0, 3, 4, 1, 4, 4, 0, 0, 0, 3, 2, 1, 2, 2, 4, 1, 3, 0, 2, 0, 3, 2, 0, 0, 2, 3, 2, 2, 2, 4, 4, 4, 4, 1, 0, 1, 3, 3, 0, 2, 1, 0, 0, 3, 2, 4, 0, 3, 0, 1, 3, 1, 4, 3, 4, 3, 0, 0, 1, 1, 4, 2, 3, 1, 4, 3, 0, 4, 3, 3, 2, 4, 4, 2, 1, 2, 2, 4, 1, 3, 2, 2, 1, 1, 2, 2, 3, 1, 4, 3, 0, 1, 1, 2, 3, 4, 2, 2, 0, 0, 4, 3, 0, 0, 2, 2, 4, 1, 0, 3, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 4, 1, 1, 3, 0, 4, 3, 0, 4, 0, 2, 4, 4, 2, 2, 2, 3, 3, 1, 4, 0, 3, 0, 1, 4, 3, 2, 1, 4, 1, 1, 1, 0, 0, 4, 3, 1, 2, 2, 0, 1, 0, 1, 0, 1, 3, 0, 1, 4, 2, 1, 0, 1, 0, 4, 3, 2, 4, 0, 2, 4, 2, 1, 3, 0, 1, 4, 4, 0, 1, 2, 4, 3, 2, 1, 1, 4, 1, 2, 0, 1, 3, 2, 1, 0, 1, 4, 2, 1, 2, 3, 4, 4, 1, 2, 3, 1, 0, 3, 1, 0, 4, 2, 3, 1, 2, 0, 3, 3, 2, 2, 0, 4, 0, 0, 0, 2, 1, 3, 0, 2, 3, 1, 4, 2, 1, 1, 0, 0, 4, 1, 3, 1, 1, 0, 4, 2, 4, 0, 3, 1, 1, 3, 3, 1, 3, 0, 1, 4, 2, 0, 2, 0, 3, 1, 2, 4, 3, 3, 4, 1, 3, 3, 1, 1, 0, 2, 1, 1, 0, 2, 4, 2, 2, 1, 3, 3, 1, 2, 3, 0, 1, 4, 2, 1, 1, 4, 1, 2, 3, 3, 2, 3, 0, 4, 3, 4, 1, 4, 0, 2, 3, 2, 2, 3, 4, 0, 1, 3, 2, 3, 0, 0, 0, 3, 0, 0, 0, 4, 4, 0, 4, 2, 2, 2, 4, 4, 4, 2, 2, 4, 3, 3, 1, 1, 0, 3, 2, 2, 4, 2, 2, 4, 3, 0, 0, 2, 4, 0, 2, 2, 2, 4, 3, 4, 2, 2, 1, 2, 4, 3, 0, 2, 1, 0, 2, 4, 0, 4, 2, 0, 1, 4, 2, 1, 3, 3, 4, 3, 4, 3, 1, 3, 2, 1, 4, 0, 0, 0, 1, 3, 1, 0, 3, 1, 2, 4, 0, 0, 4, 4, 3, 0]
pubkeycol1339 = [3, 1, 4, 1, 4, 0, 2, 1, 1, 3, 4, 0, 3, 0, 1, 2, 2, 1, 3, 3, 2, 1, 2, 3, 0, 1, 1, 2, 2, 3, 2, 0, 3, 3, 3, 0, 1, 2, 1, 0, 0, 2, 4, 0, 0, 1, 3, 0, 4, 1, 4, 0, 0, 3, 1, 1, 0, 2, 1, 3, 2, 3, 1, 1, 3, 3, 2, 2, 1, 4, 3, 4, 3, 4, 0, 4, 4, 4, 3, 3, 2, 3, 0, 0, 1, 3, 0, 3, 4, 1, 4, 2, 3, 0, 2, 1, 2, 1, 3, 4, 4, 4, 3, 1, 2, 4, 0, 4, 2, 4, 4, 2, 4, 1, 1, 2, 3, 3, 4, 1, 3, 2, 2, 0, 2, 0, 4, 3, 1, 2, 3, 2, 2, 1, 1, 1, 0, 0, 2, 3, 0, 3, 0, 1, 0, 2, 3, 2, 2, 1, 1, 4, 0, 2, 0, 1, 0, 1, 3, 3, 2, 2, 1, 1, 2, 3, 0, 4, 3, 0, 4, 0, 4, 3, 4, 4, 4, 3, 0, 0, 0, 1, 1, 4, 0, 3, 0, 4, 3, 0, 1, 2, 3, 3, 3, 4, 4, 1, 0, 1, 3, 1, 2, 2, 4, 2, 2, 3, 1, 4, 2, 0, 3, 2, 1, 4, 2, 3, 4, 0, 4, 4, 4, 3, 0, 1, 3, 0, 4, 4, 0, 2, 2, 0, 4, 0, 3, 2, 0, 3, 0, 0, 2, 0, 4, 2, 0, 2, 3, 2, 4, 3, 2, 2, 0, 0, 2, 3, 2, 1, 4, 0, 1, 3, 1, 0, 3, 4, 3, 4, 1, 1, 2, 0, 0, 1, 4, 0, 0, 3, 2, 1, 3, 1, 2, 1, 4, 1, 1, 1, 0, 4, 3, 4, 1, 3, 2, 2, 1, 2, 0, 2, 2, 1, 4, 3, 3, 1, 4, 4, 2, 1, 0, 1, 1, 4, 0, 1, 0, 0, 1, 2, 3, 3, 4, 3, 4, 0, 1, 2, 3, 2, 0, 4, 3, 1, 0, 1, 3, 0, 1, 2, 0, 1, 1, 2, 4, 1, 3, 0, 4, 0, 1, 1, 3, 4, 3, 0, 1, 3, 2, 1, 2, 2, 1, 4, 1, 2, 3, 4, 4, 2, 3, 4, 3, 2, 2, 0, 3, 4, 0, 3, 2, 1, 2, 2, 3, 1, 1, 2, 0, 0, 1, 4, 2, 2, 2, 0, 0, 4, 2, 2, 4, 3, 4, 4, 1, 1, 2, 0, 0, 0, 0, 3, 2, 4, 3, 4, 2, 0, 3, 3, 2, 0, 0, 2, 4, 2, 4, 3, 3, 1, 1, 4, 2, 3, 1, 4, 0, 2, 4, 4, 4, 3, 3, 1, 1, 4, 1, 1, 1, 3, 4, 2, 3, 0, 4, 3, 4, 1, 2, 3, 0, 3, 2, 2, 1, 3, 4, 2, 3, 2, 3, 1, 2, 4, 1, 1, 0, 3, 0, 1, 4, 2, 2, 1, 2, 0, 4, 3, 1, 0, 3, 1, 4, 0, 1, 0, 4, 2, 2, 4, 4, 1, 2]
pubkeycol1340 = [4, 4, 0, 1, 1, 4, 1, 1, 2, 1, 2, 2, 2, 2, 0, 3, 1, 4, 4, 2, 0, 4, 1, 2, 3, 0, 4, 0, 1, 2, 1, 3, 2, 2, 3, 0, 2, 4, 2, 4, 3, 2, 4, 1, 1, 3, 3, 1, 4, 2, 4, 3, 0, 4, 1, 2, 3, 3, 1, 4, 3, 3, 1, 4, 0, 3, 4, 1, 4, 2, 0, 1, 1, 0, 4, 4, 4, 1, 0, 2, 3, 1, 4, 4, 0, 0, 4, 4, 1, 3, 2, 4, 1, 0, 2, 2, 3, 1, 3, 1, 1, 0, 3, 4, 4, 3, 3, 1, 1, 4, 2, 0, 2, 3, 1, 4, 4, 1, 1, 3, 4, 2, 1, 1, 0, 1, 4, 0, 1, 1, 0, 0, 2, 0, 1, 3, 1, 1, 1, 1, 0, 3, 3, 0, 1, 2, 3, 4, 0, 0, 4, 2, 3, 2, 3, 0, 4, 0, 4, 1, 4, 1, 1, 4, 4, 3, 0, 4, 4, 0, 2, 0, 0, 0, 4, 4, 2, 3, 3, 2, 4, 3, 1, 1, 2, 3, 3, 0, 0, 3, 1, 4, 2, 0, 1, 1, 2, 3, 2, 4, 1, 4, 1, 3, 0, 1, 3, 1, 2, 2, 1, 4, 1, 0, 1, 1, 4, 4, 4, 1, 4, 2, 4, 3, 4, 1, 4, 3, 4, 4, 4, 4, 0, 3, 3, 0, 4, 4, 2, 1, 0, 2, 2, 1, 4, 0, 3, 2, 4, 4, 2, 3, 0, 1, 0, 4, 4, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 3, 3, 3, 3, 2, 3, 2, 2, 3, 0, 0, 1, 4, 4, 0, 1, 3, 3, 0, 1, 0, 2, 1, 4, 2, 1, 0, 0, 4, 3, 1, 4, 3, 2, 2, 3, 1, 1, 4, 1, 2, 4, 3, 2, 0, 4, 2, 3, 2, 3, 3, 3, 0, 4, 0, 2, 3, 4, 1, 1, 1, 2, 3, 4, 0, 3, 3, 4, 3, 3, 4, 4, 4, 2, 4, 0, 4, 1, 2, 1, 4, 4, 2, 2, 0, 3, 1, 0, 4, 4, 4, 3, 4, 2, 0, 2, 4, 1, 4, 1, 0, 4, 4, 2, 2, 2, 0, 3, 4, 3, 3, 4, 2, 1, 0, 2, 3, 0, 2, 1, 1, 3, 0, 2, 1, 2, 2, 1, 3, 1, 0, 0, 2, 1, 3, 0, 3, 1, 1, 1, 0, 2, 4, 4, 3, 4, 0, 4, 2, 1, 4, 2, 3, 0, 0, 2, 2, 2, 0, 2, 2, 0, 3, 4, 2, 0, 2, 2, 2, 1, 4, 0, 3, 2, 4, 3, 4, 1, 4, 0, 3, 4, 1, 1, 3, 1, 3, 2, 2, 0, 1, 4, 4, 3, 3, 1, 3, 1, 1, 4, 3, 2, 2, 2, 1, 4, 0, 1, 2, 4, 1, 4, 3, 4, 3, 3, 0, 1, 4, 3, 0, 1, 4, 3, 2, 0, 0, 0, 4, 1, 4, 2, 4, 2, 3, 0, 4]
pubkeycol1341 = [0, 4, 4, 1, 0, 4, 4, 0, 0, 1, 2, 1, 2, 0, 2, 0, 4, 0, 3, 2, 1, 0, 4, 0, 0, 1, 0, 3, 0, 3, 4, 1, 4, 0, 3, 2, 0, 4, 2, 1, 2, 4, 1, 2, 2, 3, 3, 3, 4, 1, 4, 0, 1, 0, 3, 2, 4, 1, 3, 1, 1, 2, 1, 4, 0, 0, 3, 3, 3, 1, 4, 4, 0, 2, 2, 0, 1, 1, 1, 3, 1, 4, 3, 4, 1, 0, 1, 1, 1, 2, 1, 3, 2, 2, 0, 2, 4, 0, 3, 4, 3, 1, 4, 4, 2, 2, 4, 3, 2, 1, 1, 2, 0, 0, 0, 4, 1, 2, 2, 0, 3, 2, 2, 0, 4, 2, 1, 2, 0, 4, 3, 0, 0, 4, 1, 2, 2, 4, 4, 2, 3, 3, 2, 3, 2, 0, 3, 1, 2, 4, 2, 0, 2, 2, 4, 0, 3, 3, 2, 3, 2, 4, 3, 3, 3, 0, 2, 1, 0, 1, 1, 4, 2, 2, 3, 4, 0, 4, 1, 4, 0, 1, 2, 1, 4, 1, 1, 2, 4, 0, 1, 4, 0, 3, 2, 0, 1, 2, 1, 4, 1, 4, 4, 3, 0, 3, 4, 0, 1, 1, 0, 4, 2, 0, 4, 1, 2, 3, 2, 3, 4, 1, 3, 1, 4, 1, 3, 3, 4, 4, 2, 0, 3, 1, 0, 4, 0, 4, 0, 2, 0, 4, 0, 2, 0, 0, 0, 3, 3, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 4, 1, 4, 1, 4, 2, 4, 2, 4, 0, 0, 3, 2, 4, 3, 0, 0, 2, 3, 3, 2, 2, 2, 3, 2, 4, 4, 1, 3, 2, 4, 4, 3, 1, 2, 2, 3, 4, 2, 0, 4, 2, 3, 0, 1, 3, 4, 0, 2, 0, 0, 2, 0, 0, 4, 3, 2, 4, 0, 1, 4, 0, 2, 1, 3, 4, 4, 4, 4, 3, 4, 0, 1, 0, 3, 2, 3, 1, 0, 3, 2, 4, 4, 0, 1, 3, 4, 2, 2, 4, 3, 3, 1, 0, 4, 2, 3, 0, 2, 3, 2, 3, 4, 0, 0, 4, 0, 2, 3, 0, 3, 4, 3, 2, 3, 2, 3, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 4, 2, 0, 3, 2, 4, 3, 0, 1, 0, 3, 2, 1, 2, 2, 3, 4, 4, 4, 4, 4, 1, 4, 0, 2, 2, 2, 4, 4, 4, 2, 4, 2, 1, 0, 4, 2, 2, 1, 4, 3, 2, 0, 0, 1, 2, 2, 2, 1, 2, 4, 3, 1, 1, 4, 1, 1, 0, 2, 4, 0, 3, 3, 2, 4, 3, 4, 0, 4, 1, 3, 3, 2, 2, 2, 2, 3, 0, 0, 0, 2, 3, 1, 0, 3, 0, 3, 1, 2, 0, 4, 1, 3, 4, 1, 3, 4, 1, 3, 2, 4, 3, 4, 0, 0, 0, 4, 2, 1, 0, 4, 2, 2, 3, 1]
pubkeycol1342 = [0, 0, 3, 0, 1, 4, 2, 1, 3, 0, 3, 2, 4, 0, 0, 1, 0, 4, 1, 3, 4, 3, 0, 1, 1, 4, 2, 0, 2, 2, 3, 3, 2, 3, 0, 0, 3, 1, 4, 4, 0, 4, 1, 1, 3, 2, 3, 4, 1, 1, 4, 0, 1, 1, 0, 1, 3, 3, 0, 3, 2, 0, 3, 3, 4, 2, 0, 4, 2, 3, 2, 0, 4, 3, 3, 0, 2, 3, 4, 0, 3, 3, 4, 2, 0, 4, 2, 4, 2, 4, 1, 3, 4, 1, 2, 1, 0, 3, 0, 4, 1, 3, 4, 4, 1, 1, 4, 1, 3, 2, 1, 2, 0, 2, 3, 0, 2, 4, 3, 2, 3, 2, 0, 3, 1, 2, 2, 0, 2, 2, 3, 1, 3, 0, 0, 3, 1, 4, 1, 3, 3, 1, 0, 0, 1, 2, 0, 1, 4, 3, 2, 4, 3, 3, 4, 1, 3, 1, 3, 0, 2, 3, 0, 0, 0, 1, 0, 0, 0, 1, 0, 3, 0, 3, 4, 4, 0, 0, 4, 1, 2, 2, 1, 0, 0, 1, 4, 0, 1, 1, 1, 2, 1, 0, 3, 1, 4, 0, 3, 4, 1, 4, 4, 3, 2, 4, 1, 2, 2, 4, 3, 2, 4, 0, 1, 3, 1, 2, 1, 4, 4, 0, 1, 2, 3, 2, 4, 1, 4, 0, 4, 1, 4, 2, 1, 4, 0, 4, 3, 2, 0, 0, 4, 3, 4, 3, 3, 0, 1, 3, 1, 2, 3, 3, 1, 0, 1, 0, 1, 2, 1, 0, 4, 4, 1, 3, 3, 1, 4, 3, 0, 1, 1, 2, 2, 3, 2, 2, 1, 3, 3, 2, 4, 1, 4, 0, 3, 2, 1, 4, 1, 0, 4, 4, 3, 3, 4, 0, 4, 2, 0, 3, 3, 3, 0, 4, 0, 1, 0, 2, 0, 0, 0, 0, 4, 2, 4, 4, 0, 2, 0, 3, 4, 0, 1, 0, 0, 0, 2, 1, 3, 3, 4, 0, 3, 4, 4, 2, 1, 0, 3, 1, 2, 2, 1, 3, 0, 0, 1, 3, 4, 0, 2, 0, 2, 2, 3, 3, 1, 3, 2, 1, 3, 1, 2, 2, 0, 1, 2, 3, 4, 1, 2, 4, 2, 3, 4, 2, 2, 0, 1, 1, 0, 4, 0, 4, 1, 0, 4, 3, 4, 0, 1, 4, 4, 1, 3, 1, 2, 3, 2, 0, 2, 1, 3, 4, 0, 3, 4, 4, 4, 1, 3, 4, 2, 4, 2, 2, 4, 0, 0, 1, 3, 4, 0, 3, 2, 0, 3, 4, 0, 3, 2, 0, 2, 2, 2, 3, 3, 0, 1, 4, 3, 2, 1, 1, 0, 3, 1, 2, 1, 1, 2, 0, 0, 2, 4, 4, 4, 2, 3, 2, 0, 3, 4, 1, 4, 1, 2, 2, 3, 1, 1, 2, 1, 3, 0, 1, 1, 1, 2, 2, 1, 1, 4, 0, 0, 1, 3, 0, 2, 1, 1, 1, 0, 3, 1, 2, 4, 4, 1, 2, 3, 1, 0]
pubkeycol1343 = [3, 4, 1, 4, 3, 0, 0, 1, 0, 2, 2, 0, 0, 4, 0, 0, 1, 4, 2, 4, 3, 1, 2, 2, 4, 2, 3, 1, 3, 0, 2, 0, 4, 2, 1, 0, 0, 3, 3, 2, 4, 4, 3, 1, 2, 2, 0, 2, 4, 1, 3, 1, 2, 2, 4, 1, 1, 2, 1, 2, 3, 1, 3, 4, 2, 1, 4, 2, 0, 4, 3, 2, 4, 3, 1, 4, 3, 2, 0, 2, 3, 0, 4, 2, 0, 3, 0, 3, 3, 4, 4, 2, 1, 4, 3, 2, 2, 4, 1, 4, 1, 1, 1, 4, 1, 2, 4, 0, 3, 1, 0, 0, 0, 0, 1, 2, 1, 4, 1, 2, 1, 4, 2, 1, 3, 4, 2, 2, 2, 2, 4, 2, 3, 4, 1, 4, 1, 0, 1, 0, 4, 0, 0, 4, 0, 1, 0, 2, 0, 4, 0, 1, 1, 1, 3, 1, 4, 1, 4, 3, 2, 3, 0, 1, 3, 2, 1, 4, 2, 3, 3, 2, 3, 0, 0, 1, 3, 2, 0, 0, 3, 1, 3, 3, 3, 4, 1, 3, 1, 3, 3, 0, 3, 2, 4, 2, 2, 2, 1, 2, 2, 2, 4, 4, 0, 4, 2, 0, 4, 1, 3, 0, 2, 4, 4, 2, 0, 3, 2, 4, 0, 1, 1, 1, 1, 3, 3, 3, 1, 2, 0, 3, 0, 4, 4, 4, 0, 1, 1, 2, 0, 4, 3, 3, 4, 4, 4, 4, 3, 3, 1, 1, 3, 1, 2, 3, 4, 0, 0, 2, 1, 4, 1, 0, 1, 0, 2, 1, 4, 4, 0, 4, 2, 3, 2, 1, 1, 4, 4, 0, 2, 2, 4, 3, 4, 2, 3, 2, 0, 4, 0, 2, 0, 4, 4, 3, 4, 3, 4, 1, 2, 2, 3, 2, 0, 2, 1, 0, 0, 3, 4, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 3, 3, 2, 3, 4, 2, 0, 1, 0, 1, 1, 4, 3, 4, 0, 1, 2, 2, 1, 1, 2, 3, 1, 2, 3, 3, 2, 3, 2, 2, 1, 0, 0, 4, 1, 3, 4, 4, 2, 1, 2, 4, 0, 3, 3, 2, 1, 2, 0, 4, 4, 4, 1, 4, 3, 4, 1, 4, 3, 1, 4, 3, 1, 0, 4, 3, 2, 1, 2, 3, 1, 3, 3, 4, 4, 3, 4, 2, 4, 2, 3, 4, 3, 3, 4, 0, 0, 0, 2, 1, 4, 3, 3, 3, 2, 2, 3, 2, 2, 2, 0, 0, 0, 3, 1, 4, 3, 2, 1, 0, 3, 1, 0, 1, 2, 3, 0, 3, 4, 4, 0, 4, 4, 0, 2, 0, 1, 2, 3, 4, 4, 1, 3, 3, 4, 1, 2, 2, 2, 2, 2, 4, 3, 1, 4, 2, 0, 3, 3, 3, 4, 1, 3, 3, 3, 3, 1, 3, 4, 2, 4, 3, 4, 2, 3, 1, 1, 1, 3, 1, 1, 4, 3, 4, 2, 3, 0, 0, 2, 2, 2]
pubkeycol1344 = [2, 4, 2, 2, 0, 3, 1, 1, 2, 2, 2, 4, 3, 2, 1, 1, 4, 2, 3, 4, 0, 3, 4, 0, 2, 0, 2, 3, 1, 0, 1, 0, 1, 3, 3, 4, 4, 3, 2, 0, 1, 4, 4, 3, 2, 0, 3, 4, 4, 0, 1, 4, 1, 1, 0, 1, 2, 4, 1, 0, 0, 4, 0, 1, 4, 2, 1, 4, 1, 2, 2, 3, 1, 2, 3, 3, 1, 0, 0, 4, 3, 4, 3, 3, 2, 4, 2, 3, 1, 0, 1, 3, 4, 3, 0, 1, 0, 4, 1, 2, 4, 3, 1, 4, 2, 1, 0, 3, 4, 4, 3, 4, 4, 4, 1, 0, 2, 1, 2, 0, 4, 1, 3, 0, 3, 2, 4, 3, 3, 4, 0, 3, 1, 1, 0, 4, 4, 0, 2, 4, 0, 4, 2, 0, 3, 2, 3, 3, 1, 2, 0, 1, 1, 0, 4, 1, 3, 2, 0, 3, 0, 0, 4, 2, 4, 3, 2, 2, 3, 4, 2, 2, 4, 3, 1, 2, 1, 1, 4, 2, 0, 1, 1, 2, 3, 3, 4, 3, 1, 3, 4, 1, 3, 2, 0, 2, 1, 0, 4, 3, 0, 2, 1, 2, 4, 1, 4, 2, 1, 4, 0, 4, 4, 1, 4, 1, 1, 4, 2, 3, 2, 3, 1, 2, 4, 0, 1, 4, 4, 3, 3, 2, 1, 4, 0, 3, 4, 2, 0, 3, 4, 3, 1, 2, 3, 2, 4, 3, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 2, 3, 4, 0, 3, 2, 1, 1, 4, 0, 1, 2, 2, 3, 3, 3, 2, 0, 3, 0, 4, 2, 2, 1, 2, 3, 2, 1, 3, 3, 2, 3, 3, 0, 3, 0, 2, 0, 0, 3, 0, 4, 1, 3, 4, 1, 0, 0, 2, 3, 1, 1, 3, 1, 4, 0, 1, 1, 0, 0, 3, 2, 0, 0, 4, 0, 2, 4, 2, 3, 4, 4, 2, 4, 3, 2, 1, 1, 4, 0, 2, 1, 3, 1, 2, 2, 1, 0, 1, 2, 4, 1, 1, 0, 2, 2, 0, 2, 3, 3, 4, 2, 2, 1, 4, 2, 0, 0, 4, 0, 4, 4, 1, 2, 0, 2, 2, 3, 4, 0, 2, 4, 2, 3, 2, 2, 0, 2, 1, 4, 1, 2, 2, 2, 2, 1, 1, 3, 0, 4, 2, 0, 3, 1, 0, 4, 3, 3, 2, 4, 3, 4, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 3, 3, 2, 0, 1, 2, 0, 2, 1, 1, 4, 2, 3, 4, 4, 2, 2, 4, 1, 1, 3, 1, 3, 2, 3, 4, 1, 0, 2, 1, 3, 3, 0, 1, 2, 0, 4, 4, 2, 1, 0, 1, 1, 2, 4, 0, 4, 3, 1, 1, 1, 4, 2, 4, 4, 4, 3, 3, 0, 2, 2, 4, 1, 2, 0, 4, 2, 1, 2, 0, 1, 0, 4, 0, 2, 1, 3, 4, 4, 4, 1]
pubkeycol1345 = [3, 2, 0, 2, 4, 2, 3, 1, 1, 0, 2, 4, 4, 0, 0, 3, 2, 4, 2, 4, 2, 4, 1, 2, 0, 4, 4, 3, 1, 1, 3, 2, 3, 4, 2, 1, 1, 1, 4, 4, 3, 0, 1, 1, 1, 3, 4, 0, 0, 4, 3, 4, 0, 4, 3, 0, 1, 1, 0, 1, 3, 1, 1, 0, 0, 0, 4, 4, 0, 4, 3, 2, 1, 0, 2, 4, 4, 4, 0, 1, 2, 4, 0, 0, 1, 3, 4, 3, 0, 3, 3, 4, 2, 2, 1, 1, 1, 0, 1, 4, 3, 4, 2, 1, 3, 1, 3, 4, 0, 1, 2, 2, 4, 1, 2, 4, 4, 4, 1, 3, 2, 1, 2, 1, 0, 4, 3, 1, 2, 2, 3, 4, 3, 0, 1, 4, 0, 0, 0, 3, 4, 1, 2, 2, 4, 2, 3, 2, 1, 1, 2, 4, 0, 4, 2, 2, 3, 4, 4, 2, 1, 2, 4, 1, 3, 0, 1, 0, 4, 0, 3, 3, 0, 2, 3, 3, 4, 3, 4, 2, 1, 1, 0, 2, 1, 4, 0, 0, 0, 0, 1, 0, 4, 0, 0, 1, 2, 0, 4, 4, 0, 3, 1, 0, 2, 1, 2, 1, 3, 3, 2, 1, 4, 3, 0, 1, 1, 1, 2, 3, 3, 0, 4, 3, 2, 1, 0, 1, 1, 2, 3, 3, 2, 3, 0, 3, 4, 0, 0, 2, 0, 3, 0, 1, 0, 4, 1, 2, 3, 0, 2, 1, 2, 1, 2, 2, 2, 3, 2, 4, 4, 3, 1, 3, 2, 4, 0, 3, 4, 1, 2, 0, 1, 3, 1, 0, 4, 0, 0, 4, 3, 1, 3, 1, 3, 4, 3, 0, 2, 0, 1, 2, 3, 2, 3, 2, 1, 1, 1, 4, 4, 3, 0, 3, 3, 2, 4, 3, 3, 4, 0, 0, 1, 2, 2, 2, 4, 2, 3, 3, 3, 4, 1, 1, 0, 3, 1, 3, 3, 3, 3, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 4, 1, 4, 0, 0, 4, 2, 1, 0, 0, 1, 3, 4, 3, 4, 0, 3, 2, 2, 0, 3, 1, 4, 4, 3, 4, 1, 1, 2, 1, 4, 3, 1, 1, 3, 0, 3, 0, 3, 1, 4, 1, 3, 2, 2, 4, 3, 4, 2, 4, 2, 1, 2, 1, 2, 3, 0, 2, 4, 4, 2, 2, 1, 3, 1, 4, 4, 0, 1, 3, 4, 4, 0, 4, 1, 4, 4, 0, 3, 1, 2, 4, 1, 1, 2, 0, 1, 0, 3, 4, 1, 4, 1, 3, 2, 0, 3, 0, 3, 3, 2, 3, 4, 3, 1, 4, 1, 0, 1, 1, 0, 4, 4, 2, 2, 0, 2, 2, 1, 3, 2, 3, 4, 4, 1, 4, 2, 4, 2, 3, 1, 4, 4, 2, 3, 3, 4, 2, 0, 2, 4, 0, 0, 0, 3, 4, 4, 0, 1, 0, 0, 0, 4, 3, 2, 3, 2, 1, 4, 0, 4, 3, 0, 1]
pubkeycol1346 = [1, 4, 3, 0, 3, 1, 3, 3, 1, 1, 3, 4, 4, 4, 3, 3, 1, 2, 1, 3, 2, 0, 0, 4, 4, 4, 2, 0, 2, 4, 1, 4, 3, 1, 0, 4, 0, 0, 2, 3, 0, 3, 3, 4, 4, 3, 4, 0, 3, 1, 0, 0, 4, 3, 4, 3, 1, 4, 2, 0, 2, 2, 4, 4, 2, 3, 3, 2, 4, 1, 4, 1, 0, 4, 3, 4, 0, 0, 2, 2, 1, 1, 3, 4, 0, 1, 4, 0, 1, 0, 1, 0, 0, 2, 3, 0, 4, 1, 1, 3, 1, 2, 4, 4, 0, 2, 0, 3, 0, 2, 4, 2, 0, 2, 2, 2, 2, 2, 0, 4, 1, 4, 2, 3, 4, 4, 3, 0, 3, 0, 1, 1, 4, 4, 2, 2, 2, 2, 0, 3, 4, 2, 1, 2, 0, 2, 2, 4, 4, 3, 2, 0, 1, 2, 0, 1, 1, 2, 0, 3, 0, 3, 1, 4, 0, 2, 3, 2, 2, 2, 3, 2, 3, 4, 0, 3, 4, 1, 0, 1, 4, 2, 2, 2, 2, 0, 1, 4, 1, 4, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 4, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 4, 3, 4, 4, 4, 3, 4, 1, 1, 4, 3, 2, 2, 3, 2, 2, 1, 4, 0, 4, 0, 1, 1, 0, 4, 4, 3, 1, 1, 0, 1, 4, 2, 3, 3, 1, 4, 2, 4, 4, 4, 4, 0, 2, 2, 1, 0, 0, 2, 4, 0, 0, 4, 0, 0, 2, 4, 4, 1, 3, 2, 4, 1, 2, 1, 3, 4, 2, 4, 2, 3, 1, 0, 3, 0, 1, 0, 1, 2, 1, 2, 3, 3, 2, 2, 4, 0, 4, 3, 2, 1, 4, 0, 0, 1, 1, 2, 4, 4, 1, 2, 1, 4, 1, 1, 1, 2, 1, 1, 0, 0, 4, 4, 1, 2, 2, 3, 1, 3, 3, 4, 2, 4, 3, 1, 3, 2, 2, 4, 3, 4, 0, 0, 0, 3, 4, 0, 2, 3, 0, 3, 3, 4, 1, 3, 3, 4, 3, 3, 2, 2, 4, 3, 1, 1, 2, 0, 2, 0, 4, 4, 3, 3, 4, 4, 4, 1, 1, 2, 3, 4, 2, 0, 4, 0, 4, 0, 3, 1, 4, 4, 0, 1, 4, 0, 2, 2, 3, 1, 4, 3, 3, 3, 2, 3, 4, 3, 1, 3, 4, 2, 2, 0, 4, 0, 4, 4, 2, 1, 4, 2, 3, 2, 2, 4, 0, 2, 2, 1, 2, 1, 1, 3, 1, 2, 1, 0, 0, 0, 0, 2, 3, 1, 3, 4, 0, 0, 1, 2, 2, 2, 1, 0, 4, 4, 0, 4, 2, 1, 0, 4, 0, 3, 1, 4, 1, 0, 4, 1, 2, 1, 4, 4, 2, 3, 4, 2, 4, 1, 2, 1, 1, 3, 1, 4, 0, 4, 2, 4, 0, 2, 1, 2, 1, 0, 2, 3, 0]
pubkeycol1347 = [2, 2, 4, 1, 2, 3, 0, 2, 3, 4, 3, 0, 0, 1, 1, 4, 4, 1, 3, 3, 1, 2, 2, 2, 2, 3, 3, 3, 1, 4, 1, 4, 1, 0, 4, 2, 4, 4, 1, 3, 1, 3, 0, 4, 1, 4, 0, 0, 4, 4, 4, 2, 1, 3, 0, 4, 3, 3, 2, 1, 2, 1, 3, 4, 2, 4, 3, 4, 4, 3, 1, 2, 1, 3, 3, 1, 0, 0, 0, 3, 3, 1, 1, 2, 2, 2, 2, 0, 4, 2, 2, 3, 2, 3, 2, 1, 0, 1, 4, 0, 3, 2, 3, 1, 4, 0, 2, 0, 4, 0, 4, 1, 4, 4, 1, 4, 1, 4, 0, 2, 4, 3, 2, 0, 3, 4, 1, 1, 2, 4, 1, 3, 0, 4, 1, 4, 1, 2, 3, 3, 0, 2, 1, 0, 2, 0, 1, 3, 0, 0, 2, 1, 1, 4, 3, 2, 0, 3, 4, 0, 2, 2, 1, 2, 3, 4, 4, 0, 1, 3, 4, 4, 3, 4, 3, 0, 4, 3, 1, 1, 3, 4, 0, 0, 1, 1, 1, 0, 4, 3, 1, 4, 2, 3, 3, 2, 4, 2, 4, 2, 2, 3, 1, 4, 2, 2, 3, 0, 1, 2, 2, 3, 3, 3, 2, 0, 1, 2, 3, 2, 2, 4, 2, 3, 1, 3, 1, 4, 3, 4, 3, 3, 1, 2, 1, 4, 1, 2, 4, 4, 1, 0, 4, 3, 4, 3, 2, 1, 0, 1, 4, 4, 3, 2, 0, 0, 1, 4, 1, 1, 0, 0, 2, 3, 2, 3, 2, 4, 0, 4, 4, 3, 3, 2, 3, 0, 4, 3, 1, 1, 0, 2, 4, 2, 0, 1, 3, 4, 1, 1, 0, 2, 3, 1, 3, 3, 3, 3, 2, 2, 2, 2, 0, 4, 0, 0, 0, 4, 4, 0, 1, 4, 0, 0, 2, 2, 1, 1, 3, 2, 2, 4, 1, 2, 1, 3, 1, 4, 0, 2, 1, 4, 4, 1, 3, 0, 4, 0, 4, 4, 1, 3, 1, 3, 0, 3, 4, 2, 1, 4, 3, 0, 2, 2, 1, 4, 2, 1, 3, 0, 3, 4, 2, 0, 3, 0, 3, 2, 1, 0, 3, 4, 0, 1, 2, 2, 0, 2, 1, 4, 4, 4, 1, 4, 4, 4, 1, 1, 4, 2, 3, 1, 3, 3, 2, 3, 3, 0, 0, 0, 0, 3, 3, 1, 3, 1, 1, 1, 2, 1, 3, 2, 2, 2, 4, 2, 3, 4, 4, 0, 3, 3, 2, 1, 4, 3, 4, 1, 4, 1, 1, 2, 3, 3, 3, 2, 1, 1, 3, 0, 0, 3, 0, 3, 4, 2, 3, 3, 2, 4, 0, 3, 0, 0, 4, 1, 4, 1, 4, 1, 1, 2, 3, 4, 1, 1, 3, 3, 4, 1, 3, 2, 2, 3, 4, 2, 3, 4, 1, 1, 3, 3, 1, 3, 1, 2, 4, 3, 3, 0, 4, 3, 1, 4, 2, 4, 1, 3, 1, 0, 4, 2, 1, 3, 1]
pubkeycol1348 = [0, 3, 1, 0, 2, 2, 1, 3, 1, 0, 2, 2, 1, 1, 2, 1, 4, 3, 0, 0, 2, 2, 4, 0, 4, 1, 1, 0, 1, 4, 1, 0, 2, 3, 0, 2, 4, 4, 2, 2, 2, 3, 4, 0, 4, 1, 3, 4, 1, 0, 1, 2, 3, 1, 1, 1, 0, 4, 0, 4, 3, 2, 1, 0, 0, 4, 4, 1, 0, 0, 4, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 0, 3, 2, 4, 4, 4, 0, 1, 2, 2, 1, 4, 0, 1, 3, 4, 4, 0, 1, 2, 4, 0, 3, 2, 2, 0, 0, 4, 0, 0, 2, 1, 1, 4, 2, 4, 3, 1, 4, 1, 1, 2, 3, 0, 4, 4, 3, 4, 0, 0, 0, 2, 2, 0, 4, 0, 1, 1, 2, 0, 0, 1, 3, 3, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 4, 3, 1, 2, 2, 1, 0, 3, 1, 3, 3, 3, 4, 3, 1, 1, 2, 2, 2, 2, 1, 4, 2, 2, 0, 3, 0, 4, 4, 2, 1, 4, 0, 1, 2, 4, 3, 1, 2, 1, 1, 4, 3, 4, 1, 2, 4, 0, 2, 4, 0, 0, 3, 1, 1, 4, 3, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 3, 4, 3, 0, 0, 0, 1, 1, 4, 2, 0, 0, 2, 1, 0, 3, 0, 4, 1, 2, 3, 4, 1, 3, 0, 1, 1, 2, 1, 1, 0, 0, 3, 4, 3, 3, 1, 0, 2, 2, 0, 0, 4, 3, 4, 3, 3, 2, 2, 4, 4, 0, 3, 2, 2, 0, 3, 4, 4, 3, 2, 3, 0, 4, 4, 4, 4, 1, 0, 2, 0, 1, 1, 2, 0, 3, 1, 3, 3, 4, 3, 1, 2, 0, 0, 2, 4, 1, 3, 4, 3, 2, 2, 1, 1, 3, 4, 2, 0, 1, 3, 3, 3, 2, 4, 3, 0, 2, 1, 4, 1, 1, 4, 0, 1, 0, 2, 3, 4, 3, 2, 1, 4, 4, 2, 0, 2, 0, 1, 3, 3, 4, 4, 2, 3, 1, 2, 0, 4, 3, 4, 0, 3, 4, 4, 2, 4, 3, 3, 3, 4, 3, 2, 2, 4, 1, 1, 3, 2, 1, 1, 1, 2, 0, 0, 4, 3, 1, 1, 2, 3, 0, 4, 1, 2, 2, 2, 4, 4, 2, 0, 3, 4, 1, 3, 4, 4, 2, 3, 3, 2, 3, 2, 2, 4, 3, 4, 0, 1, 0, 0, 3, 2, 3, 1, 3, 4, 2, 0, 1, 0, 3, 3, 2, 0, 4, 2, 4, 1, 4, 2, 2, 1, 1, 2, 1, 3, 0, 2, 0, 4, 1, 3, 4, 2, 3, 0, 2, 0, 0, 4, 2, 3, 4, 3, 1, 3, 0, 0, 4, 0, 1, 4, 1, 3, 3, 0, 1, 1, 4, 1, 3, 4, 4, 0, 0, 4, 1, 4, 1, 1, 1, 3, 1, 0, 3, 4, 3, 3, 2]
pubkeycol1349 = [1, 4, 0, 2, 3, 3, 1, 0, 3, 4, 1, 2, 1, 2, 3, 4, 3, 1, 2, 0, 4, 0, 3, 1, 1, 1, 0, 3, 1, 2, 4, 1, 0, 0, 2, 1, 4, 0, 0, 0, 4, 1, 2, 3, 2, 1, 3, 2, 1, 4, 0, 4, 4, 3, 3, 2, 3, 2, 0, 4, 2, 0, 0, 4, 3, 3, 1, 4, 0, 0, 2, 4, 2, 3, 1, 2, 2, 3, 2, 0, 4, 2, 1, 4, 2, 2, 2, 2, 1, 2, 4, 0, 3, 4, 0, 2, 3, 0, 3, 1, 2, 0, 1, 4, 2, 2, 3, 2, 4, 1, 4, 4, 1, 0, 1, 4, 3, 4, 2, 3, 2, 4, 3, 0, 3, 0, 0, 0, 2, 0, 1, 2, 3, 2, 1, 3, 1, 1, 1, 2, 2, 4, 2, 4, 3, 2, 2, 1, 3, 0, 1, 1, 4, 2, 4, 3, 2, 2, 1, 0, 2, 4, 3, 0, 3, 0, 0, 3, 1, 1, 4, 1, 1, 4, 1, 4, 3, 2, 2, 0, 2, 2, 4, 0, 3, 1, 1, 4, 3, 4, 3, 3, 3, 0, 1, 2, 2, 4, 3, 4, 3, 0, 4, 2, 3, 0, 1, 3, 0, 4, 4, 2, 4, 1, 4, 0, 3, 4, 0, 3, 4, 1, 3, 3, 0, 3, 1, 4, 0, 2, 0, 3, 0, 2, 3, 0, 3, 3, 3, 3, 3, 0, 2, 0, 3, 3, 3, 0, 0, 0, 1, 2, 0, 4, 4, 4, 3, 1, 1, 4, 2, 1, 1, 2, 3, 0, 3, 4, 4, 0, 2, 2, 3, 3, 2, 2, 2, 4, 1, 0, 3, 2, 1, 4, 3, 3, 0, 0, 3, 3, 4, 3, 3, 2, 1, 3, 4, 1, 3, 1, 1, 1, 2, 1, 0, 3, 2, 1, 1, 1, 0, 0, 1, 2, 0, 3, 3, 2, 1, 4, 0, 0, 2, 4, 1, 4, 1, 2, 2, 4, 1, 2, 1, 3, 4, 1, 0, 4, 3, 4, 3, 2, 1, 3, 3, 4, 4, 0, 2, 3, 3, 2, 4, 2, 0, 3, 0, 1, 0, 1, 3, 1, 4, 0, 0, 4, 2, 4, 3, 0, 2, 3, 4, 4, 1, 2, 4, 4, 1, 0, 1, 1, 1, 1, 2, 1, 4, 2, 2, 1, 1, 1, 4, 0, 4, 1, 1, 3, 4, 4, 1, 4, 1, 4, 2, 4, 2, 1, 3, 4, 2, 1, 0, 2, 2, 2, 4, 2, 2, 4, 4, 4, 2, 4, 1, 1, 0, 4, 1, 3, 0, 0, 1, 1, 1, 3, 4, 3, 4, 1, 2, 3, 4, 2, 1, 0, 3, 3, 4, 3, 0, 4, 2, 0, 3, 0, 4, 0, 1, 0, 1, 2, 2, 2, 4, 2, 3, 2, 3, 2, 4, 3, 4, 3, 0, 1, 3, 3, 3, 1, 1, 2, 2, 2, 2, 3, 4, 3, 0, 2, 2, 3, 0, 1, 2, 2, 2, 3, 0, 4, 1, 4, 2, 2, 2]
pubkeycol1350 = [2, 4, 0, 2, 4, 2, 3, 4, 3, 3, 2, 3, 0, 4, 2, 2, 0, 3, 2, 0, 1, 0, 1, 0, 3, 2, 4, 3, 1, 1, 3, 0, 2, 2, 3, 4, 1, 1, 3, 1, 1, 4, 4, 2, 1, 1, 1, 0, 2, 1, 4, 4, 0, 1, 2, 3, 4, 1, 3, 1, 1, 3, 4, 2, 1, 1, 2, 0, 3, 4, 3, 4, 0, 3, 2, 0, 3, 4, 3, 0, 3, 1, 0, 2, 0, 3, 0, 1, 4, 0, 3, 1, 4, 2, 2, 2, 0, 2, 4, 3, 3, 2, 0, 0, 3, 3, 3, 3, 1, 1, 4, 3, 2, 4, 2, 2, 4, 2, 1, 1, 4, 0, 0, 0, 1, 0, 0, 2, 1, 2, 3, 2, 4, 4, 1, 2, 3, 4, 0, 3, 4, 3, 1, 3, 2, 1, 2, 3, 3, 1, 2, 3, 0, 0, 3, 4, 0, 1, 1, 1, 3, 1, 2, 0, 4, 1, 0, 1, 3, 2, 4, 1, 3, 1, 0, 3, 4, 0, 0, 4, 3, 2, 4, 3, 0, 3, 4, 1, 2, 3, 2, 4, 1, 4, 0, 3, 0, 1, 4, 3, 4, 2, 2, 0, 3, 4, 2, 3, 2, 0, 0, 0, 4, 2, 1, 0, 2, 4, 0, 0, 0, 3, 3, 3, 1, 1, 0, 0, 3, 1, 1, 1, 1, 3, 0, 0, 3, 0, 0, 3, 2, 0, 4, 4, 4, 3, 3, 3, 1, 1, 0, 4, 4, 2, 2, 3, 2, 3, 2, 4, 0, 3, 4, 1, 2, 3, 2, 4, 3, 1, 3, 4, 4, 0, 3, 0, 4, 4, 4, 2, 2, 3, 1, 1, 4, 4, 4, 2, 4, 3, 2, 0, 4, 0, 4, 3, 2, 4, 1, 1, 0, 2, 4, 2, 2, 2, 2, 3, 3, 2, 1, 3, 1, 3, 2, 1, 0, 4, 0, 1, 4, 2, 3, 2, 2, 0, 2, 1, 2, 2, 4, 1, 3, 4, 0, 0, 4, 2, 2, 3, 3, 1, 0, 2, 3, 2, 0, 0, 2, 2, 4, 1, 4, 4, 2, 3, 4, 4, 3, 4, 4, 4, 0, 2, 4, 2, 1, 3, 0, 0, 2, 0, 0, 0, 0, 2, 3, 1, 4, 0, 0, 1, 2, 0, 2, 2, 1, 2, 4, 1, 2, 0, 4, 1, 2, 0, 2, 3, 0, 0, 0, 1, 0, 1, 3, 2, 4, 3, 1, 1, 2, 3, 3, 3, 3, 3, 2, 3, 4, 3, 2, 2, 1, 3, 0, 1, 2, 0, 4, 1, 3, 2, 4, 2, 1, 3, 3, 1, 1, 4, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 4, 1, 4, 2, 0, 3, 3, 3, 0, 4, 4, 0, 2, 1, 1, 2, 0, 2, 4, 0, 1, 1, 0, 2, 1, 2, 2, 1, 3, 4, 2, 2, 3, 3, 4, 1, 1, 3, 1, 0, 2, 3, 2, 2, 2, 2, 3, 3, 1, 1, 4, 1, 0, 4]
pubkeycol1351 = [2, 3, 0, 1, 3, 0, 3, 2, 2, 1, 0, 0, 4, 2, 0, 0, 1, 1, 2, 4, 2, 2, 3, 1, 2, 0, 4, 0, 2, 3, 3, 0, 1, 1, 3, 1, 0, 2, 0, 1, 3, 1, 3, 0, 3, 0, 3, 3, 1, 2, 4, 3, 2, 2, 1, 0, 3, 2, 0, 4, 1, 3, 4, 3, 3, 3, 0, 4, 4, 3, 1, 0, 2, 3, 1, 1, 3, 4, 4, 3, 4, 3, 1, 4, 2, 2, 3, 1, 3, 1, 3, 0, 3, 4, 3, 2, 2, 1, 1, 0, 3, 1, 4, 2, 1, 2, 3, 1, 1, 1, 2, 2, 2, 0, 2, 4, 1, 2, 3, 1, 1, 4, 3, 4, 2, 2, 3, 4, 1, 2, 3, 2, 3, 4, 1, 3, 2, 0, 1, 2, 3, 0, 0, 2, 3, 4, 3, 0, 4, 4, 1, 1, 1, 1, 3, 3, 3, 2, 1, 3, 3, 3, 1, 1, 2, 1, 0, 0, 3, 2, 2, 2, 0, 2, 0, 3, 0, 4, 4, 4, 1, 2, 4, 4, 1, 0, 1, 0, 2, 1, 0, 4, 2, 4, 0, 4, 1, 0, 4, 1, 1, 2, 4, 2, 3, 2, 2, 0, 4, 0, 4, 3, 1, 4, 3, 1, 3, 1, 1, 4, 2, 0, 2, 2, 4, 4, 0, 3, 2, 3, 4, 0, 3, 4, 4, 4, 3, 1, 1, 4, 0, 2, 2, 4, 0, 3, 1, 3, 2, 3, 0, 0, 3, 1, 2, 4, 1, 3, 0, 3, 0, 2, 3, 4, 4, 2, 1, 4, 1, 2, 0, 2, 3, 4, 1, 1, 4, 4, 4, 4, 4, 3, 3, 0, 4, 0, 1, 3, 3, 0, 4, 0, 2, 1, 1, 1, 4, 4, 4, 0, 4, 0, 4, 2, 2, 2, 1, 3, 0, 0, 0, 3, 1, 1, 4, 2, 2, 4, 2, 3, 4, 1, 1, 4, 4, 4, 4, 1, 2, 1, 3, 4, 0, 1, 3, 3, 0, 3, 1, 3, 4, 4, 1, 2, 1, 3, 2, 2, 4, 4, 3, 4, 3, 2, 2, 1, 1, 1, 4, 0, 4, 4, 0, 2, 2, 1, 1, 1, 1, 1, 4, 2, 2, 2, 0, 0, 2, 1, 4, 3, 2, 2, 1, 4, 0, 2, 3, 4, 3, 4, 0, 4, 2, 4, 2, 3, 2, 0, 4, 0, 3, 1, 4, 0, 1, 1, 4, 0, 1, 3, 4, 3, 0, 3, 3, 1, 3, 2, 0, 3, 2, 2, 1, 3, 0, 3, 2, 3, 1, 1, 3, 1, 3, 1, 2, 4, 2, 1, 0, 3, 2, 1, 4, 2, 2, 1, 0, 4, 2, 1, 2, 3, 1, 1, 0, 3, 4, 1, 4, 2, 2, 0, 1, 0, 3, 1, 2, 1, 2, 0, 4, 3, 3, 2, 3, 1, 1, 0, 2, 1, 1, 1, 4, 1, 0, 1, 0, 1, 1, 0, 0, 4, 4, 4, 4, 2, 0, 3, 0, 0, 2, 1, 4, 1, 0]
pubkeycol1352 = [3, 2, 0, 2, 1, 1, 3, 4, 3, 0, 1, 3, 4, 1, 2, 0, 1, 4, 4, 0, 1, 3, 3, 4, 3, 1, 1, 2, 3, 1, 2, 2, 3, 4, 3, 0, 4, 2, 4, 2, 2, 2, 3, 0, 4, 0, 3, 1, 4, 2, 1, 2, 0, 2, 0, 3, 1, 1, 4, 1, 3, 1, 1, 4, 4, 1, 0, 4, 4, 1, 4, 1, 3, 4, 1, 0, 2, 2, 1, 2, 3, 0, 1, 0, 0, 1, 0, 3, 4, 1, 1, 2, 2, 3, 1, 1, 4, 0, 0, 4, 2, 3, 0, 1, 4, 2, 2, 0, 2, 1, 4, 4, 2, 3, 1, 4, 0, 2, 4, 4, 3, 1, 1, 2, 0, 2, 4, 2, 2, 0, 1, 1, 2, 3, 3, 1, 1, 2, 1, 0, 0, 0, 1, 3, 1, 3, 4, 4, 0, 0, 1, 4, 1, 3, 2, 4, 2, 0, 3, 3, 3, 1, 2, 3, 3, 1, 1, 3, 2, 1, 4, 0, 4, 1, 1, 1, 3, 1, 3, 4, 0, 0, 4, 2, 3, 0, 3, 0, 4, 4, 4, 3, 3, 3, 3, 1, 3, 1, 2, 2, 2, 3, 3, 4, 0, 0, 2, 3, 1, 0, 3, 2, 2, 1, 1, 2, 4, 0, 2, 4, 2, 4, 3, 4, 2, 4, 0, 0, 2, 0, 1, 2, 0, 3, 4, 4, 4, 3, 4, 0, 1, 3, 1, 4, 3, 2, 3, 0, 3, 1, 1, 2, 2, 1, 3, 2, 3, 3, 2, 0, 4, 0, 3, 4, 2, 3, 4, 2, 1, 4, 3, 3, 3, 1, 1, 0, 2, 2, 3, 4, 2, 0, 4, 4, 4, 1, 0, 2, 2, 2, 3, 4, 2, 3, 1, 3, 2, 1, 0, 1, 0, 1, 1, 3, 1, 4, 2, 1, 4, 2, 4, 1, 3, 1, 0, 2, 2, 1, 1, 0, 2, 4, 1, 3, 1, 3, 3, 0, 2, 3, 0, 4, 1, 0, 0, 0, 4, 4, 3, 4, 1, 4, 3, 0, 3, 0, 4, 2, 1, 1, 2, 3, 3, 4, 1, 1, 3, 2, 0, 3, 1, 0, 2, 4, 0, 3, 2, 4, 1, 0, 3, 1, 2, 4, 0, 0, 1, 4, 0, 4, 1, 1, 4, 3, 2, 0, 0, 0, 2, 2, 4, 2, 1, 4, 1, 0, 1, 4, 1, 3, 3, 4, 0, 3, 0, 4, 2, 1, 4, 2, 0, 2, 4, 3, 1, 1, 2, 0, 0, 4, 1, 3, 3, 4, 3, 2, 0, 2, 0, 3, 0, 1, 0, 1, 3, 0, 0, 0, 0, 3, 4, 0, 3, 3, 1, 2, 1, 3, 1, 1, 3, 0, 4, 3, 1, 3, 0, 2, 0, 3, 3, 0, 0, 1, 3, 1, 3, 2, 0, 4, 3, 4, 0, 0, 3, 2, 3, 3, 1, 3, 3, 0, 2, 2, 1, 4, 2, 2, 2, 4, 0, 3, 2, 4, 3, 0, 3, 0, 4, 2, 0, 0, 2, 2, 3]
pubkeycol1353 = [3, 2, 2, 0, 1, 2, 1, 2, 3, 3, 1, 1, 2, 1, 0, 3, 1, 4, 3, 1, 0, 2, 2, 3, 1, 3, 2, 4, 4, 0, 3, 4, 1, 1, 2, 4, 3, 2, 1, 0, 4, 1, 3, 0, 3, 0, 0, 4, 4, 2, 0, 4, 3, 3, 4, 1, 2, 3, 4, 0, 0, 1, 1, 3, 1, 0, 2, 2, 3, 1, 1, 0, 4, 4, 2, 2, 1, 3, 4, 4, 2, 2, 2, 4, 3, 1, 4, 1, 1, 0, 2, 2, 1, 0, 4, 1, 3, 0, 0, 0, 0, 2, 4, 0, 1, 1, 4, 4, 0, 2, 2, 0, 1, 4, 3, 4, 2, 1, 2, 1, 3, 0, 2, 3, 3, 1, 3, 1, 2, 1, 0, 1, 4, 3, 4, 3, 0, 0, 4, 1, 0, 1, 1, 1, 2, 2, 0, 4, 4, 1, 3, 2, 0, 2, 2, 1, 3, 3, 2, 2, 4, 4, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 0, 3, 2, 4, 3, 4, 3, 2, 4, 3, 4, 3, 0, 3, 3, 4, 1, 2, 0, 2, 2, 1, 0, 2, 3, 3, 0, 1, 2, 4, 0, 1, 3, 0, 3, 3, 1, 2, 2, 2, 1, 1, 0, 2, 1, 4, 0, 0, 2, 2, 0, 3, 3, 0, 3, 2, 3, 2, 1, 2, 0, 3, 2, 0, 3, 4, 4, 1, 0, 4, 0, 4, 1, 2, 3, 0, 1, 1, 0, 2, 4, 4, 4, 1, 0, 0, 1, 2, 4, 2, 1, 2, 4, 1, 2, 0, 4, 3, 4, 3, 4, 4, 1, 0, 4, 2, 2, 4, 4, 0, 0, 1, 1, 3, 1, 1, 2, 0, 3, 2, 0, 1, 3, 0, 2, 1, 2, 3, 2, 1, 0, 4, 0, 1, 0, 1, 0, 2, 1, 3, 2, 1, 1, 2, 2, 0, 3, 3, 2, 2, 0, 2, 4, 4, 1, 1, 1, 2, 0, 2, 4, 2, 3, 3, 0, 1, 4, 2, 1, 3, 4, 0, 2, 2, 3, 3, 4, 3, 3, 1, 4, 1, 3, 1, 0, 1, 1, 1, 3, 4, 0, 0, 3, 4, 3, 4, 2, 3, 3, 0, 0, 2, 1, 4, 1, 0, 0, 3, 1, 3, 4, 1, 1, 2, 3, 4, 1, 1, 3, 1, 0, 0, 3, 4, 0, 3, 0, 1, 3, 2, 0, 0, 4, 1, 3, 3, 2, 1, 2, 0, 2, 2, 2, 4, 4, 4, 3, 4, 0, 1, 3, 4, 2, 2, 3, 0, 1, 0, 1, 0, 4, 2, 2, 2, 4, 0, 0, 3, 3, 3, 0, 2, 0, 4, 3, 3, 4, 0, 3, 1, 2, 4, 1, 0, 0, 1, 1, 3, 3, 3, 4, 0, 0, 0, 4, 0, 4, 1, 2, 0, 0, 1, 0, 3, 3, 1, 1, 3, 4, 3, 4, 1, 2, 1, 4, 0, 3, 3, 4, 1, 0, 0, 3, 4, 2, 3, 0, 2, 4, 4, 4, 4, 1]
pubkeycol1354 = [0, 2, 4, 4, 2, 4, 1, 2, 4, 0, 4, 2, 3, 0, 0, 3, 2, 4, 3, 2, 0, 1, 3, 1, 4, 0, 0, 2, 2, 2, 4, 1, 3, 4, 2, 1, 3, 4, 4, 2, 4, 1, 0, 0, 1, 0, 1, 2, 4, 2, 2, 4, 1, 3, 3, 3, 3, 2, 0, 1, 2, 1, 1, 4, 2, 4, 1, 0, 0, 0, 2, 3, 1, 4, 3, 3, 4, 2, 1, 1, 4, 3, 1, 0, 3, 2, 0, 1, 3, 4, 0, 4, 0, 4, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 4, 1, 3, 0, 1, 1, 1, 3, 1, 3, 4, 4, 3, 4, 3, 2, 4, 3, 1, 1, 1, 0, 3, 4, 3, 1, 4, 3, 1, 0, 2, 1, 4, 0, 1, 2, 0, 2, 4, 4, 4, 0, 1, 4, 3, 2, 3, 2, 2, 3, 3, 2, 2, 2, 2, 0, 3, 0, 4, 4, 0, 0, 2, 2, 1, 4, 3, 2, 2, 1, 1, 0, 2, 0, 3, 3, 4, 2, 1, 2, 1, 2, 2, 3, 3, 4, 4, 2, 2, 0, 4, 4, 1, 1, 2, 4, 2, 0, 1, 2, 3, 2, 2, 0, 3, 4, 2, 4, 2, 4, 4, 3, 3, 0, 3, 4, 1, 1, 0, 4, 1, 3, 4, 3, 2, 4, 4, 1, 3, 2, 4, 4, 3, 2, 4, 2, 2, 1, 4, 3, 2, 2, 2, 2, 4, 1, 1, 4, 1, 3, 0, 3, 4, 0, 4, 1, 2, 3, 0, 0, 3, 1, 1, 0, 2, 2, 2, 2, 4, 4, 4, 0, 2, 4, 4, 3, 2, 3, 1, 1, 3, 3, 2, 0, 1, 0, 3, 0, 1, 2, 3, 2, 2, 4, 3, 3, 2, 0, 0, 0, 0, 2, 0, 4, 1, 2, 0, 3, 4, 1, 1, 0, 4, 1, 4, 2, 4, 0, 2, 0, 4, 4, 0, 4, 4, 2, 4, 2, 3, 3, 2, 0, 0, 1, 0, 1, 0, 3, 0, 0, 4, 2, 2, 4, 2, 0, 0, 3, 4, 0, 0, 2, 0, 1, 1, 3, 2, 3, 1, 4, 1, 0, 0, 0, 1, 4, 1, 0, 1, 0, 4, 2, 3, 3, 0, 0, 1, 4, 0, 4, 1, 0, 1, 0, 1, 4, 4, 0, 1, 4, 4, 1, 3, 1, 0, 3, 1, 1, 3, 3, 0, 0, 3, 3, 0, 1, 2, 2, 3, 3, 3, 0, 0, 2, 3, 1, 1, 2, 4, 1, 0, 2, 1, 2, 2, 2, 2, 1, 4, 1, 3, 2, 1, 3, 2, 2, 0, 2, 3, 2, 0, 1, 1, 2, 0, 4, 2, 2, 1, 2, 0, 0, 4, 3, 0, 1, 4, 4, 2, 4, 1, 3, 0, 4, 3, 0, 3, 1, 0, 4, 1, 4, 0, 2, 0, 2, 3, 0, 0, 2, 0, 1, 1, 4, 2, 3, 4, 2, 4, 2, 1, 4, 1, 3, 2, 0, 1, 3, 2, 4, 2]
pubkeycol1355 = [4, 0, 4, 2, 4, 3, 4, 3, 1, 0, 0, 3, 0, 3, 4, 3, 2, 3, 2, 1, 1, 3, 3, 2, 1, 3, 4, 0, 0, 4, 3, 4, 2, 3, 3, 0, 1, 4, 0, 4, 1, 1, 4, 2, 0, 0, 0, 4, 2, 0, 4, 3, 4, 2, 3, 0, 0, 2, 3, 2, 4, 4, 0, 0, 2, 3, 2, 0, 0, 1, 3, 3, 2, 4, 2, 0, 1, 2, 3, 1, 0, 3, 2, 2, 0, 2, 1, 1, 1, 3, 1, 3, 4, 3, 0, 0, 3, 2, 3, 0, 4, 1, 3, 4, 1, 2, 0, 4, 4, 2, 2, 1, 4, 2, 4, 1, 2, 1, 2, 0, 1, 2, 3, 1, 0, 2, 2, 1, 3, 4, 0, 4, 4, 3, 3, 1, 0, 3, 3, 2, 0, 4, 2, 1, 2, 3, 2, 4, 0, 3, 1, 1, 4, 1, 1, 1, 3, 3, 1, 4, 4, 0, 0, 4, 1, 2, 4, 3, 1, 3, 0, 0, 2, 3, 4, 2, 2, 4, 1, 0, 0, 4, 3, 1, 3, 3, 4, 1, 4, 0, 3, 2, 3, 3, 0, 0, 1, 0, 0, 0, 3, 2, 3, 3, 1, 0, 3, 0, 2, 1, 3, 1, 0, 0, 0, 2, 2, 1, 1, 0, 3, 2, 2, 3, 1, 2, 2, 3, 1, 1, 4, 0, 0, 0, 3, 3, 3, 1, 0, 3, 0, 0, 0, 4, 1, 3, 4, 2, 3, 1, 4, 3, 4, 0, 0, 1, 1, 3, 1, 2, 3, 2, 0, 4, 0, 3, 3, 3, 2, 0, 0, 0, 0, 4, 0, 2, 4, 4, 4, 2, 0, 0, 4, 2, 3, 3, 0, 2, 3, 2, 3, 2, 1, 3, 0, 3, 0, 2, 2, 2, 1, 3, 0, 0, 2, 2, 2, 3, 1, 2, 3, 1, 1, 2, 2, 2, 4, 0, 1, 2, 3, 0, 2, 3, 4, 0, 1, 2, 0, 2, 3, 0, 2, 0, 0, 4, 4, 1, 0, 1, 3, 3, 3, 0, 1, 3, 3, 3, 4, 2, 3, 4, 0, 2, 4, 4, 0, 4, 3, 4, 3, 3, 4, 0, 3, 2, 0, 2, 2, 0, 0, 1, 3, 0, 4, 2, 0, 3, 4, 1, 2, 3, 4, 1, 4, 3, 2, 1, 4, 3, 2, 1, 2, 3, 3, 3, 2, 2, 0, 3, 2, 0, 2, 4, 0, 3, 1, 2, 1, 4, 3, 0, 0, 1, 3, 3, 1, 0, 3, 4, 1, 3, 1, 4, 2, 0, 0, 1, 2, 2, 0, 4, 0, 4, 3, 2, 3, 1, 2, 0, 3, 0, 1, 0, 4, 1, 4, 1, 4, 1, 4, 4, 0, 4, 3, 1, 4, 1, 0, 1, 3, 4, 4, 2, 1, 0, 1, 1, 0, 4, 0, 4, 1, 0, 3, 3, 3, 0, 0, 2, 0, 0, 2, 4, 0, 2, 1, 4, 0, 3, 0, 4, 4, 3, 1, 4, 0, 3, 3, 4, 4, 2, 4, 4, 0]
pubkeycol1356 = [2, 1, 1, 3, 0, 0, 2, 0, 3, 4, 1, 0, 1, 2, 0, 2, 0, 0, 1, 3, 4, 2, 3, 1, 1, 4, 2, 4, 3, 1, 1, 0, 1, 1, 0, 4, 1, 4, 1, 1, 2, 1, 3, 2, 4, 2, 0, 0, 1, 1, 0, 4, 1, 0, 3, 3, 4, 2, 1, 3, 3, 2, 3, 3, 4, 1, 3, 1, 1, 4, 2, 2, 2, 4, 1, 4, 0, 4, 0, 3, 0, 3, 1, 2, 2, 3, 1, 0, 2, 0, 2, 1, 4, 3, 0, 4, 0, 3, 4, 3, 0, 4, 4, 0, 4, 1, 4, 3, 4, 1, 2, 2, 1, 0, 3, 1, 2, 2, 2, 4, 4, 0, 2, 3, 3, 1, 0, 0, 4, 3, 4, 2, 4, 1, 1, 3, 4, 2, 3, 4, 0, 0, 1, 4, 4, 0, 2, 3, 3, 1, 3, 2, 2, 2, 2, 2, 1, 4, 2, 4, 2, 4, 1, 3, 0, 0, 3, 4, 4, 2, 0, 1, 0, 2, 2, 2, 3, 2, 0, 0, 2, 0, 3, 2, 1, 4, 4, 3, 4, 1, 3, 0, 2, 0, 1, 1, 2, 3, 4, 2, 4, 1, 2, 3, 1, 2, 1, 0, 0, 0, 4, 2, 3, 3, 3, 1, 2, 2, 0, 2, 1, 3, 2, 4, 1, 1, 4, 1, 0, 3, 4, 4, 1, 4, 4, 2, 1, 2, 0, 3, 4, 0, 4, 4, 4, 0, 1, 4, 2, 1, 2, 2, 0, 3, 1, 0, 3, 2, 0, 2, 3, 2, 0, 1, 3, 1, 2, 0, 4, 1, 4, 4, 0, 2, 2, 3, 1, 3, 0, 3, 4, 0, 0, 2, 2, 4, 4, 0, 3, 0, 2, 3, 3, 1, 4, 4, 1, 2, 0, 3, 4, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 4, 4, 4, 2, 1, 0, 0, 2, 1, 2, 3, 2, 0, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 4, 3, 0, 1, 4, 1, 3, 1, 4, 0, 2, 3, 3, 1, 1, 4, 0, 4, 1, 2, 1, 1, 3, 1, 1, 2, 3, 4, 1, 3, 3, 3, 4, 4, 4, 4, 0, 4, 2, 3, 4, 0, 0, 3, 1, 0, 2, 1, 4, 2, 3, 3, 2, 4, 2, 2, 3, 4, 0, 1, 3, 4, 3, 4, 4, 2, 2, 0, 0, 4, 0, 3, 0, 4, 2, 3, 3, 4, 1, 4, 1, 2, 0, 3, 4, 2, 1, 0, 2, 4, 1, 2, 1, 2, 0, 1, 2, 1, 3, 2, 0, 4, 0, 4, 3, 0, 4, 4, 1, 3, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 3, 4, 1, 1, 2, 0, 0, 1, 2, 2, 4, 1, 0, 3, 3, 4, 2, 1, 4, 1, 4, 0, 0, 1, 2, 2, 2, 0, 1, 3, 2, 0, 1, 3, 3, 1, 2, 0, 4, 3, 3, 2, 1, 3, 3, 3, 4, 1]
pubkeycol1357 = [1, 2, 1, 0, 4, 1, 4, 4, 4, 1, 3, 1, 0, 3, 4, 4, 3, 4, 1, 2, 4, 2, 0, 1, 4, 3, 0, 2, 1, 4, 1, 3, 0, 1, 0, 3, 0, 1, 2, 1, 2, 1, 3, 2, 1, 4, 4, 1, 1, 3, 4, 4, 0, 0, 2, 0, 1, 2, 0, 4, 4, 0, 3, 1, 4, 2, 3, 1, 3, 2, 3, 0, 2, 0, 1, 0, 1, 2, 4, 0, 3, 4, 1, 3, 0, 3, 4, 1, 4, 2, 3, 0, 2, 2, 2, 1, 1, 0, 3, 1, 4, 1, 0, 2, 4, 2, 0, 2, 3, 1, 4, 0, 3, 0, 2, 3, 3, 1, 1, 1, 2, 0, 3, 3, 1, 1, 0, 1, 3, 1, 1, 0, 1, 4, 3, 2, 4, 4, 3, 2, 4, 2, 1, 2, 0, 1, 0, 0, 2, 2, 3, 1, 3, 3, 2, 2, 1, 0, 2, 2, 1, 2, 3, 2, 3, 2, 1, 3, 3, 1, 4, 3, 3, 2, 4, 1, 3, 4, 4, 0, 0, 0, 2, 0, 4, 0, 4, 2, 4, 4, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 2, 1, 4, 0, 0, 2, 4, 2, 3, 2, 1, 3, 4, 2, 1, 4, 2, 2, 0, 1, 3, 0, 0, 0, 2, 0, 4, 3, 2, 3, 1, 3, 3, 2, 2, 4, 1, 3, 2, 3, 1, 3, 0, 1, 1, 2, 4, 2, 1, 4, 0, 0, 3, 4, 0, 2, 1, 2, 3, 3, 2, 3, 0, 0, 2, 3, 2, 4, 3, 0, 4, 4, 4, 0, 1, 2, 0, 3, 1, 2, 1, 0, 0, 3, 1, 3, 1, 2, 3, 3, 3, 4, 2, 2, 2, 1, 2, 0, 2, 4, 1, 2, 0, 4, 3, 4, 0, 3, 0, 2, 4, 1, 1, 2, 1, 2, 4, 4, 3, 2, 4, 4, 2, 2, 1, 0, 3, 2, 3, 3, 2, 3, 1, 2, 3, 4, 2, 4, 3, 1, 1, 0, 4, 4, 4, 1, 3, 4, 1, 0, 0, 4, 2, 1, 0, 1, 0, 3, 2, 0, 4, 1, 2, 2, 0, 4, 1, 0, 3, 1, 0, 3, 3, 3, 2, 4, 3, 4, 4, 4, 0, 3, 2, 4, 3, 0, 1, 0, 3, 0, 1, 4, 0, 3, 1, 4, 1, 3, 4, 4, 1, 2, 3, 2, 0, 4, 4, 0, 4, 1, 3, 4, 2, 3, 0, 0, 0, 1, 2, 4, 0, 2, 4, 2, 2, 0, 0, 3, 3, 0, 0, 2, 0, 3, 4, 4, 1, 1, 4, 2, 0, 2, 2, 4, 2, 4, 3, 4, 2, 1, 3, 2, 2, 1, 2, 2, 0, 3, 1, 2, 0, 4, 4, 3, 2, 1, 4, 2, 0, 4, 2, 4, 0, 1, 2, 0, 3, 2, 0, 1, 0, 0, 4, 4, 0, 1, 3, 0, 3, 1, 4, 4, 2, 0, 4, 4, 2, 0, 0, 4, 4, 0, 2, 4, 4]
pubkeycol1358 = [0, 2, 1, 1, 0, 3, 3, 4, 0, 3, 2, 0, 4, 4, 0, 4, 3, 2, 1, 1, 1, 1, 3, 3, 4, 0, 2, 1, 4, 1, 2, 4, 4, 3, 1, 2, 0, 1, 3, 0, 1, 3, 1, 2, 0, 3, 4, 3, 3, 3, 4, 3, 4, 3, 1, 4, 3, 0, 4, 3, 1, 1, 3, 0, 2, 1, 4, 4, 2, 0, 2, 4, 2, 2, 0, 0, 3, 3, 0, 0, 4, 3, 1, 1, 0, 2, 1, 3, 1, 0, 4, 0, 4, 0, 1, 2, 2, 0, 1, 0, 0, 4, 0, 4, 1, 1, 3, 2, 0, 3, 4, 0, 0, 3, 0, 3, 3, 1, 0, 3, 1, 1, 3, 2, 2, 0, 1, 2, 1, 2, 4, 2, 4, 1, 3, 1, 0, 3, 2, 4, 1, 4, 3, 3, 4, 1, 0, 4, 2, 4, 4, 0, 0, 0, 3, 0, 3, 2, 0, 4, 4, 1, 2, 2, 3, 2, 1, 4, 4, 3, 1, 1, 3, 3, 2, 0, 4, 2, 0, 3, 4, 2, 0, 0, 2, 4, 2, 3, 0, 2, 4, 0, 2, 0, 3, 3, 2, 0, 4, 0, 0, 3, 4, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 4, 1, 3, 2, 2, 4, 0, 4, 2, 3, 4, 0, 1, 0, 0, 0, 2, 2, 4, 2, 4, 3, 2, 2, 3, 0, 0, 1, 4, 2, 0, 2, 0, 2, 0, 2, 2, 3, 3, 2, 3, 1, 4, 0, 1, 0, 3, 3, 3, 3, 2, 3, 1, 4, 4, 3, 0, 4, 0, 3, 4, 1, 3, 0, 4, 2, 0, 0, 2, 4, 4, 4, 0, 1, 2, 4, 1, 2, 1, 3, 2, 3, 1, 3, 2, 2, 4, 0, 2, 0, 3, 1, 1, 3, 4, 2, 2, 4, 0, 1, 2, 2, 0, 4, 2, 3, 0, 1, 2, 0, 1, 0, 3, 3, 3, 3, 4, 2, 3, 3, 1, 3, 1, 4, 3, 2, 2, 2, 4, 2, 1, 4, 3, 2, 1, 4, 4, 2, 0, 1, 4, 4, 0, 2, 1, 4, 4, 2, 0, 4, 4, 3, 3, 3, 4, 0, 0, 0, 0, 4, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 3, 2, 3, 4, 1, 0, 3, 2, 1, 1, 1, 1, 4, 2, 0, 2, 4, 4, 2, 0, 1, 1, 1, 2, 3, 4, 0, 4, 0, 4, 4, 4, 1, 1, 1, 1, 3, 3, 4, 1, 3, 3, 0, 0, 1, 2, 2, 1, 2, 3, 0, 4, 3, 0, 0, 4, 4, 4, 0, 0, 3, 2, 4, 0, 1, 4, 4, 1, 4, 2, 1, 2, 1, 1, 4, 2, 3, 1, 1, 0, 4, 1, 0, 0, 4, 0, 0, 4, 3, 1, 4, 0, 2, 3, 0, 4, 3, 2, 0, 2, 4, 4, 4, 0, 3, 0, 4, 3, 2, 1, 2, 2, 0, 1, 0, 4, 1, 3, 0]
pubkeycol1359 = [3, 2, 0, 4, 1, 1, 4, 4, 3, 3, 0, 1, 2, 4, 2, 0, 0, 0, 4, 1, 3, 0, 3, 4, 4, 2, 4, 2, 2, 3, 0, 1, 2, 2, 1, 4, 2, 0, 2, 0, 3, 4, 2, 2, 2, 3, 4, 3, 3, 3, 3, 1, 4, 0, 1, 3, 2, 1, 1, 0, 4, 0, 1, 3, 2, 3, 0, 4, 0, 3, 4, 2, 2, 2, 4, 0, 2, 2, 1, 2, 0, 2, 2, 3, 2, 3, 3, 4, 1, 1, 4, 3, 1, 4, 2, 2, 1, 1, 4, 3, 4, 1, 0, 1, 3, 3, 1, 3, 4, 2, 0, 4, 3, 3, 2, 2, 1, 2, 2, 3, 3, 3, 1, 2, 4, 0, 3, 4, 2, 3, 1, 4, 1, 0, 1, 1, 1, 0, 2, 3, 0, 3, 4, 3, 2, 2, 4, 1, 4, 4, 2, 4, 4, 0, 4, 0, 4, 0, 0, 2, 0, 4, 2, 3, 1, 0, 0, 2, 0, 1, 4, 0, 3, 2, 3, 3, 3, 4, 0, 0, 2, 2, 1, 2, 1, 4, 1, 3, 4, 4, 4, 4, 0, 3, 4, 4, 4, 3, 2, 2, 2, 0, 3, 2, 4, 4, 0, 4, 3, 2, 2, 2, 2, 4, 2, 1, 4, 0, 3, 4, 1, 0, 2, 3, 3, 1, 3, 2, 1, 2, 0, 0, 2, 4, 4, 2, 2, 3, 4, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 3, 0, 1, 0, 2, 1, 3, 3, 2, 1, 1, 2, 2, 0, 3, 2, 4, 1, 1, 0, 2, 3, 4, 1, 4, 1, 0, 3, 2, 3, 3, 4, 4, 4, 2, 2, 0, 2, 2, 3, 4, 4, 2, 0, 4, 4, 3, 2, 2, 0, 2, 4, 2, 0, 1, 2, 2, 2, 2, 2, 3, 3, 2, 2, 1, 0, 1, 1, 1, 0, 1, 3, 3, 1, 2, 1, 2, 4, 1, 4, 4, 3, 3, 2, 2, 0, 3, 0, 1, 2, 3, 4, 4, 0, 1, 4, 3, 0, 2, 0, 4, 3, 0, 1, 2, 1, 0, 2, 2, 3, 3, 2, 4, 1, 3, 1, 3, 2, 1, 0, 0, 3, 0, 2, 0, 3, 0, 2, 1, 2, 1, 3, 0, 0, 3, 3, 2, 2, 0, 2, 3, 4, 3, 1, 4, 0, 1, 4, 1, 1, 2, 4, 1, 0, 0, 2, 0, 0, 3, 4, 1, 4, 1, 1, 4, 4, 0, 0, 3, 2, 4, 3, 0, 1, 2, 1, 3, 2, 3, 3, 4, 1, 2, 2, 1, 4, 0, 2, 1, 2, 0, 1, 1, 3, 4, 1, 0, 4, 3, 0, 2, 2, 1, 0, 0, 3, 3, 0, 2, 3, 3, 4, 2, 1, 0, 4, 4, 4, 1, 2, 0, 3, 4, 1, 2, 2, 0, 2, 3, 3, 4, 2, 2, 2, 3, 2, 3, 4, 1, 3, 2, 3, 4, 3, 4, 4, 3, 2, 4, 2, 4, 1, 1, 3, 1]
pubkeycol1360 = [2, 0, 2, 4, 4, 1, 3, 0, 1, 4, 3, 2, 0, 0, 1, 2, 0, 1, 1, 4, 2, 1, 0, 0, 2, 1, 4, 0, 4, 1, 0, 4, 2, 4, 0, 0, 1, 3, 0, 0, 4, 1, 2, 4, 4, 3, 4, 2, 4, 2, 3, 4, 3, 0, 4, 0, 3, 2, 0, 3, 1, 1, 3, 4, 4, 3, 1, 0, 4, 2, 2, 4, 2, 2, 2, 4, 4, 1, 3, 0, 4, 3, 4, 4, 1, 4, 2, 1, 3, 0, 1, 3, 0, 3, 3, 0, 2, 3, 3, 0, 2, 2, 0, 4, 4, 4, 4, 3, 1, 2, 1, 3, 3, 0, 1, 1, 0, 3, 2, 2, 4, 3, 2, 1, 0, 3, 3, 0, 1, 0, 4, 4, 1, 3, 4, 2, 1, 0, 4, 4, 4, 3, 0, 1, 2, 0, 0, 4, 4, 0, 2, 1, 0, 3, 4, 4, 0, 4, 3, 2, 3, 3, 1, 1, 2, 4, 3, 4, 4, 3, 0, 0, 1, 0, 3, 0, 0, 1, 4, 0, 3, 0, 2, 3, 0, 0, 1, 4, 1, 1, 0, 0, 4, 1, 3, 3, 1, 3, 2, 2, 4, 3, 4, 3, 1, 4, 2, 0, 0, 0, 0, 4, 1, 1, 1, 3, 2, 0, 1, 1, 3, 3, 0, 0, 2, 2, 1, 1, 4, 2, 0, 3, 0, 4, 2, 4, 2, 4, 0, 0, 0, 1, 3, 3, 3, 2, 4, 2, 4, 2, 2, 0, 4, 0, 0, 0, 1, 3, 4, 1, 2, 4, 2, 0, 2, 4, 3, 3, 0, 3, 1, 2, 0, 3, 2, 2, 3, 4, 4, 2, 2, 2, 2, 1, 4, 4, 1, 2, 0, 2, 0, 0, 3, 0, 4, 0, 2, 4, 2, 4, 4, 3, 1, 4, 2, 2, 4, 1, 2, 1, 2, 4, 2, 1, 0, 4, 1, 0, 4, 4, 4, 2, 3, 4, 2, 2, 1, 2, 1, 0, 4, 0, 4, 4, 4, 2, 1, 1, 0, 4, 1, 2, 0, 4, 4, 2, 1, 4, 0, 3, 4, 3, 3, 4, 1, 2, 3, 4, 0, 2, 0, 4, 1, 2, 0, 2, 4, 3, 1, 4, 4, 4, 1, 0, 1, 0, 3, 0, 3, 3, 2, 4, 4, 0, 2, 1, 2, 2, 1, 2, 1, 4, 3, 3, 0, 3, 2, 0, 3, 3, 2, 4, 0, 3, 1, 2, 0, 4, 1, 2, 1, 0, 3, 1, 4, 0, 1, 4, 3, 0, 1, 4, 4, 2, 4, 2, 0, 4, 1, 3, 3, 0, 0, 4, 4, 1, 4, 4, 2, 2, 4, 3, 1, 2, 3, 4, 1, 3, 3, 4, 3, 4, 4, 0, 1, 4, 4, 0, 0, 0, 1, 2, 3, 3, 2, 4, 1, 1, 0, 2, 0, 1, 1, 4, 1, 4, 0, 2, 4, 0, 4, 2, 1, 4, 3, 1, 4, 0, 4, 0, 0, 3, 1, 4, 4, 4, 4, 4, 1, 4, 2, 2, 2, 1, 0]
pubkeycol1361 = [3, 2, 3, 1, 0, 4, 4, 4, 2, 3, 2, 3, 2, 2, 2, 3, 0, 4, 4, 4, 1, 3, 1, 4, 1, 4, 3, 0, 0, 3, 1, 1, 3, 2, 4, 2, 2, 4, 0, 0, 4, 2, 2, 3, 0, 0, 0, 3, 2, 0, 4, 4, 1, 1, 4, 4, 4, 0, 2, 2, 2, 2, 4, 1, 3, 0, 4, 1, 1, 3, 3, 2, 0, 1, 0, 2, 0, 4, 2, 2, 1, 2, 1, 2, 4, 0, 3, 3, 3, 2, 2, 0, 0, 4, 2, 3, 3, 0, 0, 2, 2, 4, 0, 0, 2, 3, 3, 4, 2, 0, 4, 1, 1, 0, 3, 3, 4, 0, 1, 3, 2, 2, 2, 4, 2, 0, 4, 1, 3, 4, 3, 0, 1, 1, 3, 1, 1, 1, 3, 0, 0, 2, 4, 4, 3, 3, 1, 4, 1, 3, 3, 4, 3, 1, 1, 0, 4, 4, 1, 1, 0, 2, 0, 1, 2, 0, 0, 3, 4, 0, 1, 0, 2, 4, 4, 2, 3, 4, 0, 2, 1, 4, 1, 2, 4, 3, 0, 1, 4, 3, 4, 2, 2, 4, 0, 1, 3, 4, 3, 0, 0, 0, 1, 3, 2, 3, 0, 3, 0, 4, 4, 4, 4, 2, 2, 2, 3, 4, 3, 2, 0, 1, 3, 2, 4, 2, 0, 2, 4, 1, 2, 0, 1, 3, 1, 2, 4, 3, 0, 0, 3, 3, 1, 3, 0, 0, 2, 0, 0, 3, 3, 4, 2, 2, 3, 2, 4, 4, 3, 2, 3, 0, 0, 2, 2, 1, 4, 3, 3, 4, 0, 1, 0, 0, 3, 2, 4, 1, 2, 2, 4, 0, 3, 1, 0, 3, 1, 2, 4, 0, 2, 3, 2, 3, 2, 2, 3, 0, 4, 4, 0, 3, 1, 0, 0, 4, 3, 2, 4, 1, 1, 2, 3, 0, 1, 3, 0, 3, 0, 1, 4, 1, 2, 4, 1, 2, 1, 0, 0, 4, 3, 1, 2, 0, 0, 3, 1, 3, 0, 2, 3, 0, 1, 4, 3, 2, 3, 2, 2, 4, 1, 3, 4, 0, 2, 0, 1, 2, 4, 3, 4, 1, 3, 3, 3, 3, 3, 0, 3, 4, 4, 2, 3, 1, 2, 2, 4, 0, 3, 3, 4, 2, 0, 1, 1, 1, 2, 1, 1, 4, 0, 2, 1, 4, 2, 1, 0, 0, 4, 1, 4, 0, 2, 4, 1, 0, 2, 2, 3, 0, 3, 4, 4, 0, 4, 2, 3, 2, 4, 2, 3, 4, 3, 1, 0, 4, 0, 3, 4, 1, 4, 2, 2, 4, 2, 2, 3, 1, 0, 4, 4, 4, 4, 3, 3, 0, 3, 0, 0, 0, 2, 0, 3, 3, 2, 3, 4, 1, 1, 2, 1, 3, 2, 0, 2, 3, 1, 3, 1, 2, 1, 3, 0, 0, 2, 2, 0, 0, 2, 2, 3, 1, 1, 2, 1, 3, 3, 2, 2, 3, 3, 0, 3, 2, 0, 0, 4, 1, 2, 4, 1, 0, 1, 2, 1]
pubkeycol1362 = [1, 2, 0, 1, 1, 4, 1, 2, 0, 2, 0, 1, 2, 1, 0, 4, 4, 2, 0, 0, 3, 3, 1, 1, 0, 1, 0, 4, 3, 1, 4, 3, 3, 1, 2, 0, 1, 4, 1, 1, 4, 0, 4, 4, 0, 0, 3, 2, 1, 0, 0, 0, 1, 3, 0, 3, 1, 1, 0, 2, 4, 3, 3, 1, 2, 3, 2, 0, 1, 3, 0, 3, 1, 0, 4, 0, 2, 0, 2, 4, 1, 0, 3, 4, 4, 0, 1, 0, 3, 2, 2, 3, 2, 2, 3, 0, 0, 4, 3, 2, 2, 1, 3, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 3, 3, 0, 3, 3, 0, 2, 1, 1, 4, 0, 3, 0, 0, 2, 3, 1, 2, 0, 3, 3, 4, 3, 0, 4, 0, 2, 1, 1, 3, 2, 0, 0, 4, 3, 1, 0, 2, 1, 2, 3, 3, 0, 2, 4, 4, 3, 1, 2, 0, 4, 4, 0, 4, 1, 4, 3, 1, 3, 0, 1, 0, 2, 0, 0, 1, 1, 3, 1, 3, 0, 3, 3, 1, 1, 4, 2, 3, 3, 1, 0, 2, 3, 3, 4, 0, 1, 0, 2, 0, 3, 0, 4, 3, 3, 2, 2, 2, 0, 3, 3, 1, 2, 1, 4, 3, 2, 3, 3, 0, 0, 4, 1, 4, 0, 1, 4, 3, 0, 3, 1, 1, 1, 4, 4, 4, 0, 3, 2, 1, 4, 1, 0, 3, 0, 1, 2, 3, 0, 1, 2, 4, 0, 4, 0, 1, 0, 4, 2, 2, 3, 2, 1, 4, 0, 3, 2, 2, 3, 0, 3, 4, 1, 4, 0, 3, 2, 3, 4, 0, 0, 0, 3, 1, 4, 3, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 3, 4, 3, 0, 4, 1, 0, 2, 1, 0, 0, 2, 2, 2, 3, 0, 3, 2, 3, 0, 1, 4, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 3, 0, 4, 3, 2, 2, 2, 3, 3, 3, 3, 2, 4, 0, 4, 3, 0, 2, 0, 2, 0, 4, 2, 0, 4, 0, 2, 4, 2, 4, 4, 0, 2, 4, 2, 3, 0, 1, 1, 2, 3, 3, 2, 2, 3, 1, 0, 3, 1, 0, 2, 2, 4, 1, 1, 2, 3, 1, 1, 0, 0, 1, 3, 2, 1, 0, 2, 3, 4, 3, 3, 0, 1, 3, 1, 0, 2, 3, 0, 2, 0, 4, 2, 2, 0, 0, 3, 2, 4, 4, 0, 2, 3, 1, 2, 3, 2, 4, 0, 3, 2, 3, 2, 1, 2, 0, 1, 0, 2, 1, 3, 0, 1, 2, 1, 4, 2, 1, 1, 0, 1, 1, 4, 4, 3, 3, 0, 4, 4, 0, 1, 3, 1, 3, 0, 1, 1, 4, 3, 3, 0, 3, 3, 4, 4, 1, 1, 4, 2, 3, 2, 2, 3, 1, 2, 0, 3, 4, 2, 3, 4, 4, 3, 3, 4, 4]
pubkeycol1363 = [1, 1, 3, 1, 0, 2, 4, 4, 4, 0, 3, 1, 1, 0, 4, 2, 2, 3, 3, 3, 0, 3, 3, 3, 0, 1, 4, 2, 3, 2, 3, 2, 2, 4, 2, 1, 1, 4, 1, 1, 4, 1, 1, 3, 4, 4, 0, 3, 3, 2, 0, 2, 1, 3, 4, 3, 3, 1, 0, 3, 4, 3, 1, 3, 4, 3, 2, 2, 1, 3, 4, 4, 0, 1, 0, 3, 3, 0, 3, 4, 1, 1, 1, 0, 2, 1, 4, 0, 2, 3, 1, 0, 1, 4, 1, 2, 2, 3, 2, 0, 2, 4, 4, 0, 3, 3, 2, 1, 3, 4, 3, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 3, 2, 0, 4, 0, 2, 4, 2, 1, 1, 1, 3, 4, 0, 0, 1, 3, 3, 1, 1, 1, 0, 4, 4, 4, 1, 2, 0, 0, 4, 2, 4, 1, 0, 3, 1, 3, 0, 0, 4, 1, 1, 3, 0, 3, 3, 3, 2, 1, 2, 3, 1, 0, 4, 4, 4, 1, 1, 2, 4, 2, 2, 2, 2, 2, 1, 4, 4, 2, 4, 3, 3, 4, 0, 4, 0, 2, 4, 2, 2, 0, 4, 0, 2, 3, 4, 3, 4, 0, 2, 1, 2, 1, 4, 4, 4, 4, 4, 2, 1, 0, 0, 2, 2, 4, 2, 3, 2, 2, 2, 0, 0, 4, 3, 2, 1, 0, 0, 1, 4, 4, 4, 3, 1, 1, 2, 1, 4, 0, 3, 0, 3, 0, 2, 2, 3, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 0, 4, 2, 4, 2, 3, 4, 0, 3, 1, 4, 3, 1, 4, 3, 4, 2, 1, 4, 2, 1, 1, 1, 4, 0, 0, 2, 0, 0, 0, 3, 4, 2, 1, 0, 1, 1, 4, 4, 1, 2, 3, 2, 3, 1, 1, 3, 3, 2, 4, 3, 2, 2, 2, 4, 4, 0, 1, 1, 1, 0, 1, 3, 4, 3, 2, 3, 4, 4, 4, 3, 1, 0, 1, 0, 0, 1, 0, 4, 3, 2, 4, 2, 4, 0, 0, 4, 4, 3, 2, 2, 4, 4, 3, 3, 0, 1, 4, 1, 2, 4, 0, 2, 3, 0, 1, 2, 1, 1, 2, 3, 3, 3, 1, 3, 1, 4, 1, 0, 1, 3, 0, 2, 1, 2, 4, 1, 4, 2, 1, 1, 2, 2, 0, 4, 4, 4, 0, 4, 0, 1, 4, 4, 0, 3, 0, 3, 3, 0, 0, 2, 4, 0, 4, 3, 1, 1, 3, 0, 4, 0, 0, 1, 4, 1, 1, 1, 1, 4, 4, 0, 4, 1, 2, 0, 1, 3, 1, 1, 4, 1, 3, 0, 1, 4, 3, 0, 4, 1, 4, 0, 3, 3, 0, 0, 4, 3, 1, 2, 0, 3, 1, 0, 3, 3, 2, 3, 4, 3, 4, 4, 2, 2, 4, 0, 0, 1, 0, 2, 1, 4, 1, 2, 1, 4, 3, 2, 1, 1, 0, 1, 0, 0, 1, 1, 4, 0]
pubkeycol1364 = [0, 0, 1, 0, 4, 0, 4, 1, 0, 1, 4, 4, 2, 3, 0, 0, 0, 1, 2, 4, 4, 1, 4, 0, 4, 2, 1, 1, 2, 3, 2, 0, 2, 3, 2, 0, 1, 2, 1, 1, 2, 3, 1, 2, 4, 0, 3, 0, 2, 3, 1, 1, 4, 0, 1, 3, 4, 1, 1, 3, 4, 3, 0, 0, 1, 2, 4, 1, 2, 2, 2, 1, 4, 1, 1, 0, 0, 1, 4, 3, 1, 1, 2, 2, 1, 0, 2, 1, 3, 1, 1, 3, 3, 3, 1, 0, 2, 0, 4, 4, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 4, 3, 1, 4, 4, 3, 0, 3, 1, 2, 2, 0, 0, 4, 4, 2, 2, 2, 0, 1, 3, 3, 0, 2, 2, 4, 2, 2, 1, 3, 1, 1, 0, 1, 1, 2, 3, 1, 2, 0, 3, 4, 3, 4, 3, 1, 0, 3, 2, 2, 0, 4, 2, 4, 3, 2, 0, 3, 4, 0, 4, 1, 3, 1, 1, 3, 4, 1, 0, 2, 4, 3, 3, 2, 0, 2, 2, 0, 2, 3, 3, 4, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 4, 3, 0, 3, 2, 4, 2, 0, 4, 3, 4, 3, 0, 4, 4, 1, 2, 0, 0, 0, 4, 1, 3, 0, 0, 2, 3, 4, 3, 1, 2, 3, 1, 1, 2, 2, 3, 1, 4, 0, 3, 2, 0, 1, 4, 1, 1, 0, 3, 1, 2, 3, 0, 4, 3, 3, 1, 2, 4, 2, 3, 0, 0, 1, 3, 0, 3, 2, 1, 1, 4, 4, 1, 2, 3, 4, 2, 3, 0, 4, 1, 4, 3, 2, 1, 0, 0, 2, 3, 3, 1, 0, 0, 1, 3, 3, 0, 0, 2, 4, 0, 2, 0, 0, 2, 3, 0, 2, 4, 3, 0, 4, 2, 0, 3, 2, 2, 1, 4, 1, 2, 3, 0, 2, 4, 1, 2, 3, 2, 0, 0, 3, 2, 3, 3, 3, 0, 4, 4, 4, 0, 0, 2, 1, 1, 1, 4, 1, 2, 3, 0, 2, 4, 0, 3, 1, 1, 0, 1, 0, 0, 0, 0, 2, 4, 3, 3, 0, 3, 1, 4, 4, 4, 1, 2, 4, 2, 2, 1, 1, 3, 3, 0, 2, 0, 0, 3, 1, 3, 4, 3, 0, 1, 1, 1, 3, 4, 4, 0, 2, 3, 2, 1, 2, 3, 1, 0, 2, 4, 0, 1, 3, 1, 3, 4, 3, 0, 0, 3, 2, 2, 3, 3, 4, 1, 4, 3, 4, 4, 0, 0, 3, 4, 1, 4, 0, 4, 3, 2, 2, 1, 1, 4, 3, 1, 1, 4, 3, 4, 4, 2, 3, 4, 3, 3, 0, 3, 4, 2, 4, 0, 4, 0, 1, 4, 0, 2, 3, 2, 3, 3, 1, 4, 2, 1, 0, 3, 3, 2, 4, 4, 4, 3, 0, 1, 3, 2, 3, 2, 0, 3, 2, 1, 0, 4, 0, 1, 4, 1, 2]
pubkeycol1365 = [3, 0, 0, 4, 0, 3, 1, 1, 3, 0, 4, 2, 4, 3, 2, 2, 1, 1, 3, 1, 3, 0, 4, 3, 0, 2, 0, 2, 0, 2, 1, 3, 1, 3, 3, 1, 4, 3, 3, 2, 3, 0, 0, 2, 0, 1, 4, 0, 2, 0, 4, 4, 3, 1, 3, 4, 0, 2, 4, 2, 0, 4, 2, 1, 2, 2, 1, 2, 2, 1, 0, 4, 3, 0, 2, 1, 4, 3, 2, 2, 2, 3, 4, 3, 1, 1, 4, 3, 3, 2, 0, 1, 4, 1, 0, 2, 4, 1, 0, 4, 2, 3, 2, 0, 1, 2, 3, 0, 4, 4, 4, 4, 3, 2, 4, 4, 0, 1, 3, 1, 2, 4, 3, 1, 0, 4, 2, 3, 1, 4, 4, 4, 2, 1, 0, 2, 4, 0, 0, 1, 0, 3, 2, 1, 4, 1, 0, 0, 4, 2, 3, 4, 2, 4, 1, 4, 2, 1, 0, 4, 2, 4, 2, 4, 0, 4, 4, 4, 0, 3, 3, 4, 1, 0, 1, 1, 0, 4, 4, 1, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 2, 3, 0, 4, 0, 3, 4, 0, 4, 2, 1, 4, 3, 0, 0, 3, 4, 0, 0, 2, 0, 4, 4, 2, 2, 2, 0, 3, 2, 4, 1, 0, 1, 2, 4, 0, 1, 3, 4, 4, 1, 4, 4, 2, 3, 1, 4, 2, 4, 1, 3, 1, 1, 4, 0, 1, 0, 2, 3, 2, 4, 0, 0, 2, 4, 1, 0, 2, 4, 4, 0, 3, 4, 0, 4, 3, 2, 4, 1, 4, 3, 3, 4, 3, 0, 3, 3, 3, 0, 4, 0, 2, 1, 0, 4, 0, 2, 4, 1, 1, 0, 0, 3, 0, 4, 3, 2, 3, 4, 0, 1, 0, 1, 0, 3, 2, 4, 2, 2, 1, 0, 4, 1, 3, 2, 2, 2, 3, 1, 1, 1, 0, 2, 4, 0, 3, 2, 1, 2, 3, 4, 3, 0, 4, 2, 0, 1, 2, 2, 1, 4, 3, 1, 4, 2, 4, 3, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 3, 3, 0, 1, 2, 4, 0, 3, 0, 1, 4, 4, 2, 0, 1, 0, 2, 1, 3, 0, 4, 2, 1, 4, 0, 2, 0, 4, 4, 1, 2, 2, 1, 0, 2, 3, 3, 0, 2, 4, 1, 3, 0, 1, 1, 3, 2, 0, 3, 4, 3, 0, 1, 3, 3, 3, 3, 3, 1, 1, 2, 2, 4, 1, 3, 1, 0, 2, 4, 0, 1, 1, 4, 2, 2, 4, 2, 2, 0, 1, 4, 3, 2, 3, 4, 1, 2, 3, 0, 3, 0, 4, 3, 4, 4, 3, 1, 1, 1, 0, 2, 2, 2, 2, 4, 1, 2, 3, 0, 2, 2, 2, 2, 4, 0, 4, 0, 3, 1, 0, 3, 2, 3, 4, 1, 3, 2, 3, 0, 2, 3, 4, 1, 2, 4, 2, 2, 3, 1, 1, 1, 4, 3, 3, 4, 0, 0]
pubkeycol1366 = [4, 3, 4, 3, 0, 0, 1, 0, 1, 3, 4, 1, 4, 3, 4, 0, 4, 1, 1, 4, 0, 0, 2, 3, 4, 4, 3, 4, 1, 3, 2, 3, 3, 1, 3, 4, 1, 4, 4, 3, 2, 4, 0, 3, 0, 4, 2, 0, 1, 4, 0, 4, 3, 3, 0, 2, 4, 2, 1, 0, 1, 3, 4, 4, 1, 4, 4, 1, 4, 1, 2, 1, 1, 0, 3, 1, 3, 4, 3, 2, 4, 1, 0, 2, 0, 2, 2, 3, 3, 0, 3, 0, 4, 0, 3, 1, 4, 1, 3, 3, 4, 0, 3, 0, 1, 1, 2, 3, 0, 0, 4, 4, 2, 2, 0, 1, 4, 2, 0, 0, 3, 1, 3, 4, 3, 3, 4, 1, 2, 0, 0, 2, 4, 2, 2, 0, 2, 0, 4, 2, 2, 4, 4, 0, 1, 0, 3, 3, 3, 4, 3, 3, 4, 1, 2, 2, 0, 3, 0, 2, 3, 0, 0, 2, 1, 2, 0, 3, 0, 2, 1, 3, 3, 0, 1, 4, 0, 3, 2, 2, 4, 2, 2, 0, 1, 0, 3, 1, 1, 3, 0, 4, 3, 1, 0, 2, 3, 3, 0, 4, 0, 1, 2, 3, 0, 4, 1, 0, 1, 2, 1, 1, 3, 4, 3, 1, 2, 0, 1, 1, 3, 4, 3, 1, 4, 1, 3, 4, 1, 3, 0, 1, 4, 4, 0, 1, 2, 0, 4, 2, 0, 4, 1, 0, 1, 0, 1, 3, 3, 0, 4, 4, 2, 1, 1, 1, 2, 3, 0, 4, 1, 1, 3, 0, 4, 0, 1, 1, 1, 2, 4, 1, 1, 4, 0, 4, 4, 2, 0, 0, 0, 0, 3, 3, 4, 4, 4, 4, 1, 1, 1, 3, 3, 4, 2, 3, 4, 1, 4, 4, 4, 2, 3, 0, 4, 0, 1, 3, 2, 4, 4, 1, 0, 3, 2, 4, 3, 1, 1, 1, 4, 3, 3, 3, 4, 0, 1, 0, 4, 0, 3, 3, 3, 4, 0, 0, 4, 3, 0, 1, 0, 1, 2, 4, 0, 0, 2, 2, 4, 1, 4, 4, 4, 4, 2, 1, 4, 0, 1, 3, 2, 0, 0, 2, 0, 3, 4, 4, 1, 1, 3, 4, 0, 2, 1, 2, 2, 3, 2, 3, 1, 3, 3, 1, 3, 2, 1, 4, 2, 0, 1, 2, 1, 4, 1, 4, 1, 0, 4, 2, 4, 2, 0, 2, 1, 3, 1, 4, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 4, 1, 1, 0, 3, 3, 1, 3, 2, 4, 2, 3, 2, 4, 2, 1, 0, 3, 4, 2, 1, 3, 2, 1, 2, 3, 3, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 3, 4, 4, 3, 3, 2, 4, 1, 4, 2, 2, 1, 3, 3, 1, 0, 0, 0, 3, 2, 0, 3, 0, 0, 0, 3, 2, 1, 1, 0, 1, 3, 0, 4, 0, 3, 2, 3, 0, 0, 0, 0, 3, 2, 3, 0, 4, 1, 1]
pubkeycol1367 = [4, 0, 2, 3, 3, 2, 4, 4, 0, 2, 1, 2, 1, 2, 2, 3, 1, 3, 4, 1, 0, 4, 4, 0, 1, 2, 0, 3, 0, 2, 3, 2, 2, 4, 3, 1, 4, 2, 1, 2, 4, 4, 0, 4, 1, 3, 1, 0, 3, 4, 0, 2, 0, 3, 1, 3, 1, 2, 4, 2, 4, 4, 3, 3, 4, 2, 4, 2, 4, 1, 3, 3, 0, 2, 0, 3, 2, 0, 0, 2, 4, 0, 4, 4, 2, 1, 2, 2, 4, 1, 4, 3, 0, 3, 3, 1, 3, 0, 2, 0, 3, 0, 2, 4, 0, 1, 0, 1, 0, 2, 3, 2, 3, 4, 2, 2, 2, 3, 0, 3, 1, 4, 2, 2, 1, 2, 4, 3, 2, 1, 0, 1, 1, 3, 3, 2, 0, 4, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 3, 3, 0, 0, 3, 3, 2, 2, 4, 2, 2, 2, 4, 1, 2, 1, 3, 4, 2, 0, 4, 3, 0, 4, 3, 0, 0, 0, 3, 3, 0, 4, 0, 3, 2, 4, 0, 2, 2, 4, 3, 0, 3, 1, 0, 4, 4, 3, 4, 2, 1, 4, 1, 3, 0, 0, 1, 2, 1, 3, 3, 3, 2, 0, 2, 1, 1, 0, 4, 3, 1, 3, 2, 2, 3, 3, 2, 2, 2, 0, 4, 0, 3, 1, 2, 1, 3, 4, 1, 2, 2, 3, 4, 3, 1, 0, 2, 3, 3, 2, 1, 3, 3, 4, 0, 2, 0, 0, 2, 2, 0, 2, 4, 3, 4, 2, 4, 4, 1, 1, 0, 3, 3, 1, 1, 2, 4, 4, 1, 0, 2, 0, 3, 4, 3, 2, 2, 4, 1, 0, 3, 0, 2, 1, 3, 0, 0, 0, 3, 1, 2, 3, 3, 2, 3, 0, 2, 2, 1, 4, 1, 0, 0, 4, 3, 1, 0, 4, 2, 1, 2, 3, 2, 1, 1, 1, 0, 0, 1, 3, 1, 1, 2, 2, 0, 4, 2, 2, 3, 2, 1, 0, 2, 1, 3, 1, 0, 1, 3, 0, 4, 4, 1, 4, 2, 3, 4, 4, 4, 3, 2, 0, 1, 3, 2, 0, 1, 0, 4, 2, 2, 2, 3, 2, 2, 4, 4, 0, 2, 0, 4, 2, 3, 4, 4, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 3, 4, 2, 4, 0, 4, 0, 3, 1, 1, 4, 2, 3, 0, 2, 0, 1, 3, 2, 2, 2, 4, 0, 2, 0, 4, 3, 0, 0, 0, 1, 2, 1, 4, 1, 0, 2, 4, 1, 2, 0, 1, 3, 4, 4, 0, 0, 3, 1, 0, 2, 3, 0, 2, 4, 1, 4, 2, 4, 2, 2, 3, 2, 1, 0, 2, 1, 4, 4, 3, 1, 3, 3, 4, 1, 0, 4, 0, 4, 2, 3, 4, 2, 2, 4, 0, 1, 3, 3, 4, 2, 1, 0, 1, 0, 0, 3, 3, 0, 2, 4, 1, 1, 4, 1, 0]
pubkeycol1368 = [4, 1, 0, 0, 2, 3, 2, 1, 2, 1, 1, 3, 1, 4, 2, 1, 2, 0, 4, 2, 3, 4, 0, 1, 2, 4, 2, 4, 2, 0, 2, 2, 0, 4, 1, 0, 1, 0, 4, 1, 2, 2, 0, 2, 3, 4, 0, 1, 3, 1, 3, 0, 3, 2, 2, 2, 2, 2, 0, 4, 0, 4, 4, 0, 3, 2, 0, 0, 4, 4, 0, 4, 0, 0, 1, 0, 1, 0, 1, 1, 4, 4, 0, 2, 2, 1, 1, 4, 1, 3, 2, 3, 1, 0, 4, 4, 0, 4, 0, 1, 2, 3, 3, 4, 2, 3, 1, 1, 2, 4, 3, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 4, 4, 0, 2, 0, 2, 0, 0, 4, 2, 4, 2, 3, 2, 0, 2, 4, 4, 1, 1, 2, 4, 1, 4, 2, 1, 0, 0, 1, 4, 0, 1, 3, 1, 3, 2, 4, 4, 3, 4, 3, 0, 0, 1, 0, 4, 4, 4, 0, 2, 3, 1, 3, 0, 0, 0, 3, 2, 3, 3, 0, 4, 0, 1, 0, 0, 3, 3, 4, 2, 2, 4, 1, 4, 2, 1, 3, 3, 2, 1, 1, 2, 2, 3, 4, 3, 3, 3, 0, 2, 0, 4, 0, 3, 4, 1, 4, 4, 2, 0, 3, 0, 4, 0, 1, 2, 4, 2, 4, 4, 4, 1, 3, 0, 3, 0, 2, 0, 1, 4, 3, 1, 2, 4, 2, 3, 4, 3, 1, 1, 2, 3, 1, 0, 1, 3, 2, 3, 3, 0, 2, 1, 1, 2, 3, 4, 3, 1, 1, 2, 4, 1, 1, 0, 2, 2, 4, 3, 1, 0, 0, 2, 4, 1, 2, 2, 3, 4, 2, 2, 1, 4, 0, 3, 1, 0, 2, 0, 2, 0, 2, 4, 3, 0, 1, 4, 2, 2, 2, 3, 0, 4, 0, 0, 0, 0, 2, 3, 0, 4, 0, 1, 3, 1, 4, 0, 0, 4, 2, 3, 1, 0, 2, 3, 0, 1, 0, 4, 0, 1, 4, 1, 0, 4, 0, 2, 2, 3, 3, 0, 2, 0, 1, 0, 1, 1, 4, 2, 0, 4, 0, 4, 0, 0, 0, 0, 4, 3, 1, 2, 0, 4, 0, 2, 3, 2, 3, 4, 2, 4, 3, 1, 4, 4, 1, 4, 4, 4, 0, 1, 1, 0, 4, 1, 1, 2, 4, 1, 2, 2, 0, 1, 3, 0, 0, 1, 2, 2, 1, 0, 3, 3, 3, 1, 0, 1, 0, 3, 1, 0, 3, 4, 4, 3, 4, 3, 3, 4, 3, 4, 3, 4, 1, 2, 0, 4, 2, 1, 2, 4, 4, 1, 0, 0, 1, 0, 2, 1, 4, 0, 1, 3, 1, 3, 2, 1, 1, 0, 3, 4, 2, 2, 4, 0, 4, 0, 3, 4, 2, 4, 1, 0, 1, 4, 4, 1, 1, 2, 2, 4, 2, 2, 3, 4, 1, 2, 2, 3, 1, 4, 1, 3, 1, 2, 3, 3, 4, 1, 1, 3, 4, 4, 3, 1]
pubkeycol1369 = [0, 4, 2, 4, 2, 3, 0, 2, 2, 4, 0, 0, 4, 2, 4, 2, 3, 4, 0, 1, 2, 2, 4, 2, 0, 2, 1, 1, 0, 4, 2, 1, 0, 1, 0, 3, 4, 0, 4, 4, 1, 2, 4, 4, 1, 1, 4, 2, 2, 0, 0, 0, 2, 4, 2, 0, 3, 2, 1, 2, 3, 0, 3, 2, 1, 1, 1, 1, 1, 3, 2, 4, 1, 0, 0, 2, 0, 3, 0, 3, 2, 0, 2, 2, 3, 1, 3, 3, 0, 0, 3, 3, 4, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 3, 4, 0, 3, 1, 1, 0, 0, 1, 3, 2, 2, 0, 2, 0, 2, 4, 2, 1, 1, 1, 3, 4, 1, 0, 0, 1, 0, 1, 2, 4, 3, 4, 4, 1, 1, 1, 4, 4, 0, 0, 3, 2, 1, 2, 0, 0, 3, 3, 3, 2, 4, 0, 0, 2, 2, 1, 1, 4, 3, 2, 1, 0, 2, 3, 1, 0, 0, 2, 2, 4, 3, 0, 0, 3, 3, 1, 3, 3, 0, 3, 4, 1, 4, 2, 1, 1, 3, 2, 4, 3, 1, 0, 0, 1, 3, 4, 4, 1, 0, 1, 1, 4, 2, 1, 2, 3, 3, 4, 0, 4, 3, 0, 4, 4, 2, 1, 1, 2, 4, 0, 2, 4, 0, 4, 1, 4, 2, 1, 2, 4, 4, 3, 3, 0, 3, 2, 1, 4, 2, 1, 4, 4, 4, 4, 3, 4, 2, 3, 1, 3, 3, 2, 4, 3, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 4, 3, 1, 3, 2, 3, 1, 1, 0, 0, 0, 3, 4, 0, 4, 1, 0, 0, 4, 2, 0, 2, 1, 1, 4, 1, 3, 1, 2, 1, 2, 0, 3, 1, 3, 0, 0, 4, 0, 2, 3, 3, 4, 0, 3, 2, 3, 4, 1, 2, 1, 2, 4, 4, 1, 4, 4, 2, 3, 0, 1, 4, 2, 2, 4, 2, 4, 3, 3, 2, 1, 2, 0, 2, 4, 0, 2, 0, 3, 1, 3, 3, 2, 1, 3, 3, 1, 4, 2, 3, 2, 4, 2, 0, 3, 1, 3, 2, 4, 4, 3, 3, 3, 2, 1, 3, 3, 0, 0, 2, 4, 2, 4, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 3, 4, 0, 1, 0, 1, 4, 4, 1, 3, 2, 1, 2, 3, 2, 4, 0, 3, 1, 4, 4, 3, 3, 0, 2, 0, 3, 0, 3, 3, 0, 0, 1, 2, 0, 2, 2, 2, 1, 4, 3, 2, 2, 1, 3, 2, 3, 0, 1, 0, 1, 0, 2, 1, 2, 2, 3, 4, 2, 4, 2, 3, 3, 4, 0, 3, 0, 3, 0, 2, 2, 4, 0, 4, 3, 3, 4, 0, 3, 2, 0, 3, 0, 1, 3, 2, 4, 3, 4, 0, 0, 0, 2, 0, 0, 4, 4, 3, 0, 2, 1, 0, 1, 1, 3, 2, 3, 2, 2, 1, 4, 0]
pubkeycol1370 = [4, 4, 0, 3, 0, 1, 0, 2, 0, 4, 1, 1, 4, 3, 1, 1, 2, 1, 4, 4, 1, 0, 0, 4, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 1, 3, 2, 0, 0, 4, 3, 2, 0, 3, 0, 4, 3, 1, 3, 4, 2, 4, 4, 4, 2, 4, 3, 0, 1, 3, 1, 1, 0, 3, 1, 0, 2, 1, 4, 0, 0, 4, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 3, 3, 3, 2, 0, 1, 1, 4, 2, 2, 4, 1, 1, 3, 4, 3, 4, 0, 3, 2, 4, 2, 1, 0, 4, 1, 0, 4, 0, 0, 2, 1, 0, 2, 2, 3, 0, 2, 3, 4, 4, 4, 4, 0, 2, 3, 2, 0, 2, 1, 1, 2, 2, 1, 3, 4, 4, 0, 1, 1, 0, 3, 4, 0, 0, 2, 0, 0, 2, 3, 3, 2, 4, 3, 4, 2, 3, 0, 2, 3, 1, 2, 1, 0, 3, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 3, 2, 1, 2, 0, 0, 0, 4, 0, 2, 2, 4, 1, 4, 3, 4, 1, 4, 2, 2, 3, 3, 0, 2, 0, 3, 3, 4, 0, 3, 1, 1, 0, 2, 0, 0, 2, 2, 0, 4, 3, 2, 0, 2, 3, 4, 4, 3, 0, 3, 0, 1, 3, 4, 2, 2, 2, 3, 0, 3, 2, 4, 0, 2, 2, 4, 0, 1, 3, 0, 2, 4, 4, 3, 0, 2, 0, 0, 0, 2, 4, 4, 2, 1, 3, 4, 0, 4, 1, 2, 3, 0, 0, 2, 1, 4, 2, 0, 2, 3, 0, 2, 3, 1, 0, 4, 3, 0, 4, 3, 2, 1, 4, 0, 3, 4, 4, 1, 3, 0, 3, 0, 3, 2, 3, 4, 1, 2, 1, 0, 1, 2, 3, 3, 0, 3, 3, 3, 1, 2, 1, 3, 0, 4, 4, 4, 0, 3, 0, 2, 1, 1, 4, 3, 1, 4, 3, 3, 4, 3, 1, 2, 2, 2, 2, 4, 0, 4, 2, 3, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 3, 4, 4, 0, 3, 2, 4, 2, 3, 4, 3, 0, 2, 2, 1, 0, 2, 0, 0, 3, 2, 1, 0, 2, 3, 2, 1, 0, 0, 4, 1, 3, 3, 3, 3, 0, 0, 1, 1, 0, 1, 4, 0, 1, 3, 1, 3, 2, 2, 3, 1, 1, 4, 2, 2, 1, 2, 4, 1, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 2, 4, 3, 4, 1, 3, 2, 4, 4, 2, 0, 1, 2, 3, 1, 2, 4, 4, 4, 4, 3, 2, 4, 4, 1, 0, 3, 1, 2, 1, 0, 3, 3, 4, 3, 3, 4, 0, 1, 1, 0, 1, 4, 2, 1, 0, 2, 3, 1, 2, 0, 2, 4, 3, 1, 4, 2, 2, 0, 2, 4, 4, 1, 2, 4, 1, 1, 3, 0, 1, 1, 4, 0, 1, 1, 4]
pubkeycol1371 = [4, 3, 2, 4, 0, 3, 2, 2, 1, 2, 0, 2, 2, 0, 4, 1, 1, 3, 0, 2, 1, 0, 3, 0, 4, 3, 1, 1, 0, 2, 1, 1, 2, 1, 3, 1, 2, 0, 2, 4, 2, 2, 2, 2, 2, 1, 3, 4, 2, 2, 4, 4, 2, 2, 3, 4, 4, 2, 3, 1, 0, 0, 4, 2, 3, 0, 0, 4, 2, 0, 4, 1, 3, 1, 1, 1, 3, 0, 3, 4, 2, 2, 0, 3, 3, 0, 0, 4, 4, 0, 0, 4, 4, 0, 2, 4, 3, 0, 4, 4, 3, 4, 4, 1, 1, 0, 1, 1, 2, 4, 0, 1, 4, 3, 2, 2, 1, 3, 1, 2, 4, 4, 4, 2, 0, 1, 2, 0, 2, 1, 2, 1, 4, 2, 3, 2, 1, 2, 4, 3, 4, 1, 0, 3, 0, 2, 3, 3, 4, 3, 1, 0, 3, 0, 4, 1, 0, 2, 3, 4, 0, 2, 2, 1, 2, 2, 0, 0, 3, 1, 0, 0, 2, 2, 1, 3, 3, 2, 3, 2, 3, 1, 0, 0, 2, 0, 1, 3, 2, 3, 4, 3, 1, 0, 1, 4, 3, 1, 1, 4, 4, 3, 3, 1, 3, 3, 2, 2, 3, 4, 3, 2, 1, 0, 1, 0, 2, 2, 0, 2, 4, 0, 1, 4, 1, 0, 4, 1, 1, 1, 1, 4, 4, 2, 4, 3, 3, 3, 2, 1, 4, 2, 1, 4, 1, 0, 3, 1, 4, 3, 4, 1, 3, 2, 2, 1, 0, 2, 3, 3, 2, 1, 2, 1, 2, 1, 1, 2, 3, 0, 2, 0, 4, 0, 1, 1, 0, 1, 4, 1, 2, 3, 4, 3, 2, 3, 2, 0, 4, 2, 1, 4, 1, 0, 1, 0, 1, 4, 0, 2, 4, 0, 0, 3, 0, 3, 1, 1, 1, 2, 0, 2, 4, 0, 4, 0, 0, 0, 0, 2, 2, 3, 4, 2, 3, 0, 0, 2, 0, 1, 3, 0, 0, 4, 2, 4, 2, 0, 2, 1, 3, 2, 4, 4, 3, 1, 2, 3, 0, 2, 3, 1, 1, 2, 4, 4, 1, 3, 3, 1, 3, 4, 2, 1, 0, 2, 0, 0, 4, 0, 4, 4, 2, 4, 0, 3, 0, 4, 0, 4, 0, 4, 0, 4, 2, 4, 4, 0, 2, 3, 2, 0, 4, 3, 3, 4, 4, 3, 1, 0, 3, 0, 3, 4, 3, 2, 2, 4, 3, 4, 0, 4, 4, 4, 2, 2, 0, 0, 0, 2, 0, 4, 3, 1, 1, 4, 0, 4, 2, 1, 4, 3, 1, 2, 3, 1, 1, 3, 4, 4, 4, 2, 4, 3, 3, 0, 2, 0, 4, 4, 2, 2, 2, 0, 0, 0, 2, 4, 0, 3, 0, 4, 4, 1, 1, 4, 1, 2, 4, 2, 0, 0, 0, 2, 3, 1, 2, 4, 4, 1, 4, 4, 2, 2, 1, 4, 0, 2, 2, 1, 4, 2, 0, 4, 4, 0, 1, 4, 1, 4, 2, 0, 2, 3, 2]
pubkeycol1372 = [1, 1, 1, 4, 3, 3, 1, 2, 3, 4, 3, 0, 0, 2, 0, 0, 4, 0, 2, 3, 1, 1, 0, 3, 0, 0, 0, 1, 4, 2, 2, 0, 3, 4, 2, 2, 3, 3, 3, 3, 4, 0, 1, 0, 4, 4, 1, 2, 1, 1, 1, 1, 2, 2, 4, 3, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 3, 4, 2, 0, 4, 2, 0, 3, 4, 1, 1, 1, 2, 1, 3, 3, 0, 2, 2, 1, 4, 0, 0, 3, 3, 0, 4, 0, 1, 2, 0, 3, 4, 3, 2, 3, 3, 4, 1, 4, 0, 2, 0, 1, 1, 3, 3, 3, 0, 1, 1, 1, 2, 1, 2, 1, 2, 4, 0, 2, 0, 2, 3, 3, 4, 4, 4, 4, 2, 0, 2, 2, 3, 0, 2, 3, 0, 3, 0, 4, 4, 3, 0, 3, 3, 3, 0, 0, 4, 4, 3, 3, 1, 2, 1, 3, 3, 0, 3, 2, 4, 3, 1, 3, 4, 3, 4, 3, 0, 0, 0, 4, 1, 3, 0, 2, 4, 1, 1, 4, 1, 3, 1, 2, 3, 4, 4, 4, 2, 0, 4, 0, 4, 1, 4, 3, 2, 3, 0, 2, 4, 4, 1, 1, 1, 4, 4, 1, 4, 1, 0, 3, 4, 2, 2, 1, 1, 4, 3, 1, 3, 2, 0, 3, 2, 1, 4, 2, 2, 0, 3, 4, 0, 2, 1, 4, 3, 2, 1, 2, 3, 0, 0, 4, 1, 4, 1, 0, 3, 3, 1, 4, 2, 2, 1, 2, 3, 1, 1, 1, 0, 4, 3, 4, 1, 3, 3, 1, 1, 2, 1, 4, 1, 0, 2, 4, 3, 3, 1, 4, 2, 2, 3, 0, 3, 0, 0, 1, 1, 1, 4, 2, 1, 4, 1, 0, 0, 3, 0, 1, 3, 4, 3, 4, 1, 3, 0, 2, 0, 4, 1, 3, 2, 4, 1, 0, 1, 3, 1, 3, 4, 3, 3, 3, 1, 0, 4, 1, 3, 4, 4, 4, 4, 3, 3, 0, 1, 3, 4, 0, 2, 2, 3, 1, 3, 0, 1, 0, 2, 1, 1, 3, 0, 3, 0, 3, 4, 1, 1, 1, 3, 1, 3, 2, 0, 1, 1, 4, 3, 0, 2, 1, 1, 0, 4, 1, 4, 2, 1, 1, 2, 0, 1, 0, 2, 4, 1, 3, 2, 4, 3, 4, 3, 4, 2, 4, 0, 1, 0, 1, 3, 2, 2, 4, 2, 4, 4, 2, 1, 4, 0, 3, 0, 3, 4, 2, 3, 0, 3, 3, 2, 4, 1, 1, 4, 0, 3, 0, 4, 3, 3, 1, 1, 3, 1, 2, 0, 2, 0, 0, 1, 0, 3, 1, 0, 2, 0, 0, 3, 1, 4, 4, 3, 2, 3, 2, 1, 4, 3, 3, 4, 2, 0, 3, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 4, 4, 2, 2, 4, 0, 4, 0, 0, 0, 3, 4, 1, 3, 0, 1, 3, 3, 1, 1, 3, 2, 1, 2]
pubkeycol1373 = [3, 0, 4, 4, 1, 1, 0, 2, 4, 0, 2, 4, 3, 4, 0, 2, 0, 1, 4, 3, 2, 2, 1, 4, 4, 0, 0, 1, 1, 1, 4, 1, 3, 2, 4, 1, 4, 3, 0, 4, 4, 0, 1, 0, 4, 0, 3, 0, 4, 0, 1, 4, 2, 2, 2, 2, 1, 4, 2, 4, 1, 4, 1, 3, 4, 2, 2, 0, 0, 4, 1, 1, 2, 0, 3, 2, 1, 2, 3, 0, 0, 2, 0, 2, 3, 4, 3, 3, 4, 4, 2, 1, 2, 3, 2, 1, 0, 1, 2, 1, 1, 0, 0, 4, 0, 3, 1, 0, 1, 1, 1, 4, 1, 2, 1, 4, 0, 3, 2, 2, 4, 4, 4, 4, 1, 1, 2, 1, 1, 4, 0, 1, 2, 0, 4, 2, 3, 1, 3, 1, 0, 4, 4, 1, 4, 3, 4, 1, 4, 4, 4, 0, 3, 2, 4, 2, 0, 0, 1, 0, 1, 2, 4, 4, 0, 3, 3, 4, 1, 1, 1, 3, 3, 1, 4, 4, 4, 0, 0, 4, 1, 4, 2, 3, 1, 3, 3, 1, 4, 1, 1, 1, 4, 4, 4, 0, 1, 1, 0, 3, 2, 1, 4, 0, 3, 4, 4, 4, 3, 1, 0, 3, 0, 2, 3, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 3, 4, 4, 2, 1, 3, 1, 1, 0, 3, 0, 4, 0, 4, 3, 4, 3, 3, 4, 4, 4, 1, 0, 0, 2, 3, 1, 1, 1, 0, 2, 0, 4, 3, 1, 4, 1, 4, 4, 1, 3, 0, 2, 1, 1, 3, 4, 4, 4, 0, 3, 1, 4, 1, 2, 3, 4, 1, 3, 3, 1, 4, 4, 3, 1, 0, 3, 3, 4, 1, 1, 2, 1, 1, 2, 0, 3, 1, 2, 3, 4, 4, 0, 2, 1, 4, 4, 1, 4, 3, 4, 2, 3, 3, 4, 3, 1, 4, 0, 2, 4, 0, 1, 2, 3, 3, 0, 2, 4, 0, 0, 1, 1, 4, 3, 3, 2, 4, 3, 2, 0, 1, 1, 4, 2, 0, 4, 3, 3, 2, 4, 2, 4, 1, 2, 2, 4, 0, 0, 4, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 4, 3, 1, 2, 0, 0, 4, 0, 0, 3, 2, 4, 0, 4, 2, 1, 4, 1, 2, 3, 2, 0, 2, 3, 2, 1, 2, 0, 4, 1, 1, 2, 2, 1, 2, 0, 3, 0, 1, 0, 4, 4, 0, 3, 1, 4, 1, 0, 0, 3, 3, 0, 2, 2, 0, 1, 4, 0, 3, 1, 1, 3, 2, 0, 3, 0, 1, 3, 2, 4, 4, 1, 1, 0, 2, 0, 2, 0, 2, 3, 0, 4, 3, 3, 2, 2, 2, 2, 1, 2, 4, 2, 1, 4, 3, 4, 2, 2, 2, 3, 4, 3, 2, 2, 0, 1, 4, 2, 4, 1, 3, 4, 4, 3, 0, 0, 0, 2, 3, 4, 1, 3, 4, 2, 2, 1, 0, 3, 1, 4]
pubkeycol1374 = [2, 1, 0, 3, 2, 0, 2, 1, 3, 3, 1, 2, 0, 2, 2, 0, 2, 4, 4, 3, 4, 1, 1, 2, 1, 3, 4, 1, 4, 1, 3, 1, 0, 3, 0, 4, 2, 2, 2, 2, 1, 4, 3, 1, 3, 1, 1, 3, 1, 3, 2, 0, 2, 1, 3, 0, 1, 1, 4, 3, 3, 2, 0, 3, 3, 2, 0, 4, 2, 3, 2, 1, 1, 2, 1, 0, 4, 3, 1, 2, 0, 0, 2, 4, 1, 3, 1, 3, 4, 2, 1, 0, 3, 4, 3, 1, 1, 0, 1, 2, 3, 0, 1, 4, 0, 2, 4, 2, 0, 3, 2, 4, 4, 3, 2, 0, 3, 3, 2, 4, 0, 1, 2, 3, 2, 0, 1, 1, 2, 2, 1, 3, 4, 0, 2, 3, 4, 4, 0, 4, 4, 4, 1, 0, 2, 1, 1, 0, 0, 0, 3, 3, 1, 3, 4, 3, 1, 0, 1, 4, 2, 2, 0, 3, 2, 2, 3, 2, 0, 2, 4, 2, 2, 3, 1, 1, 3, 3, 3, 3, 3, 4, 2, 2, 4, 0, 1, 3, 0, 3, 2, 1, 0, 2, 4, 1, 4, 0, 3, 1, 4, 0, 2, 4, 4, 0, 3, 0, 2, 2, 3, 3, 3, 2, 1, 4, 3, 4, 2, 1, 1, 3, 2, 4, 1, 2, 4, 4, 2, 1, 3, 3, 4, 0, 0, 0, 1, 3, 2, 2, 4, 1, 4, 3, 0, 1, 2, 2, 4, 3, 0, 3, 1, 4, 2, 0, 0, 4, 0, 4, 1, 0, 3, 3, 2, 0, 3, 2, 2, 4, 3, 3, 1, 2, 4, 4, 2, 3, 1, 2, 3, 3, 4, 4, 1, 2, 1, 1, 4, 1, 2, 1, 3, 2, 2, 1, 0, 2, 4, 1, 1, 0, 1, 1, 3, 3, 4, 2, 2, 1, 2, 3, 2, 3, 0, 3, 0, 1, 4, 0, 0, 4, 1, 1, 3, 0, 4, 2, 4, 0, 1, 2, 2, 3, 4, 2, 2, 4, 0, 4, 3, 3, 3, 0, 1, 2, 4, 4, 0, 0, 1, 2, 3, 1, 1, 0, 0, 4, 4, 4, 2, 2, 4, 2, 4, 4, 2, 2, 4, 1, 4, 1, 1, 0, 3, 3, 4, 3, 2, 0, 2, 0, 1, 2, 2, 4, 1, 3, 2, 3, 4, 0, 4, 1, 4, 2, 4, 1, 0, 3, 3, 0, 3, 2, 2, 3, 4, 2, 3, 3, 4, 2, 0, 2, 2, 4, 1, 1, 1, 2, 2, 3, 3, 3, 3, 0, 0, 1, 4, 2, 4, 1, 1, 2, 4, 1, 0, 4, 1, 0, 3, 2, 4, 1, 3, 0, 3, 1, 3, 2, 3, 1, 3, 4, 1, 4, 0, 4, 4, 3, 1, 1, 1, 4, 1, 0, 4, 1, 3, 0, 2, 3, 4, 4, 3, 2, 0, 0, 0, 1, 3, 2, 2, 4, 0, 4, 0, 1, 1, 4, 3, 3, 2, 1, 1, 4, 1, 1, 2, 4, 0, 0, 2, 4, 4]
pubkeycol1375 = [0, 3, 1, 3, 3, 1, 1, 3, 3, 1, 1, 1, 0, 1, 0, 2, 2, 2, 4, 3, 2, 4, 3, 3, 3, 1, 1, 4, 0, 3, 0, 1, 1, 2, 0, 2, 2, 3, 0, 3, 4, 2, 2, 4, 0, 2, 4, 4, 2, 4, 3, 1, 1, 2, 4, 0, 4, 3, 1, 1, 0, 1, 2, 0, 4, 4, 1, 1, 2, 3, 1, 3, 3, 4, 4, 4, 1, 3, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 4, 3, 4, 3, 3, 3, 2, 2, 2, 3, 1, 4, 1, 0, 3, 1, 0, 2, 1, 0, 3, 1, 4, 2, 3, 3, 1, 2, 4, 3, 1, 4, 3, 1, 4, 2, 4, 3, 0, 3, 1, 4, 3, 3, 1, 2, 3, 0, 4, 3, 1, 4, 1, 3, 2, 1, 0, 4, 1, 2, 0, 0, 4, 0, 3, 2, 0, 2, 2, 3, 0, 4, 2, 2, 1, 4, 3, 0, 0, 3, 3, 4, 4, 0, 3, 0, 2, 0, 4, 0, 1, 4, 3, 0, 2, 0, 0, 2, 0, 3, 1, 4, 0, 1, 3, 2, 1, 2, 1, 1, 4, 1, 1, 0, 4, 2, 3, 0, 4, 4, 3, 1, 4, 0, 4, 3, 3, 3, 1, 3, 1, 0, 3, 0, 2, 4, 3, 4, 3, 4, 0, 0, 0, 3, 4, 3, 1, 2, 0, 4, 2, 1, 4, 3, 1, 4, 3, 1, 0, 1, 1, 2, 2, 0, 0, 3, 2, 1, 4, 2, 4, 0, 0, 1, 4, 2, 3, 1, 4, 0, 1, 4, 3, 1, 3, 1, 2, 1, 0, 4, 1, 3, 2, 1, 1, 3, 4, 2, 1, 2, 4, 0, 1, 2, 4, 0, 3, 1, 0, 1, 4, 4, 1, 1, 3, 2, 3, 2, 1, 0, 4, 3, 0, 3, 2, 3, 4, 0, 4, 0, 4, 0, 4, 2, 1, 3, 2, 2, 4, 3, 4, 3, 4, 1, 3, 3, 1, 3, 3, 1, 1, 3, 1, 2, 4, 0, 2, 4, 0, 2, 4, 3, 3, 4, 0, 2, 3, 0, 1, 2, 4, 2, 4, 3, 1, 3, 1, 2, 0, 4, 3, 2, 2, 4, 4, 4, 0, 0, 2, 1, 2, 1, 1, 3, 0, 4, 4, 3, 1, 1, 4, 2, 4, 1, 4, 3, 2, 0, 4, 1, 0, 1, 4, 3, 2, 3, 1, 2, 4, 0, 3, 1, 4, 3, 0, 4, 1, 4, 3, 2, 1, 3, 1, 0, 4, 0, 2, 4, 1, 4, 2, 0, 1, 4, 2, 2, 3, 0, 2, 2, 0, 2, 4, 0, 2, 2, 0, 2, 2, 2, 3, 1, 3, 3, 4, 4, 0, 3, 0, 0, 3, 3, 2, 2, 0, 1, 0, 2, 4, 3, 4, 2, 3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 4, 2, 0, 2, 0, 1, 0, 4, 0, 3, 4, 1, 3, 0, 3, 2, 1, 2, 2, 3, 0, 2, 1, 4, 3]
pubkeycol1376 = [1, 4, 0, 2, 0, 4, 4, 1, 4, 1, 3, 2, 2, 0, 2, 4, 1, 3, 0, 4, 0, 1, 3, 1, 4, 4, 3, 1, 4, 3, 3, 1, 3, 3, 2, 0, 4, 0, 2, 3, 0, 1, 4, 4, 2, 4, 3, 2, 2, 4, 4, 2, 0, 1, 1, 0, 0, 2, 3, 4, 0, 0, 0, 2, 1, 1, 2, 4, 3, 4, 0, 0, 3, 0, 2, 0, 2, 4, 0, 3, 0, 3, 2, 1, 2, 4, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 4, 2, 1, 3, 2, 3, 1, 3, 2, 3, 4, 0, 2, 4, 4, 4, 4, 1, 0, 3, 1, 1, 2, 4, 1, 3, 0, 0, 2, 2, 0, 0, 3, 1, 3, 4, 4, 3, 1, 4, 3, 3, 3, 1, 0, 1, 3, 2, 4, 3, 1, 4, 3, 0, 1, 4, 0, 4, 1, 0, 3, 2, 4, 4, 0, 3, 3, 4, 1, 1, 4, 3, 1, 0, 0, 0, 4, 4, 1, 1, 3, 2, 0, 0, 0, 0, 3, 3, 4, 0, 3, 2, 1, 4, 4, 4, 3, 3, 4, 4, 3, 3, 2, 4, 3, 4, 2, 1, 1, 3, 1, 4, 3, 3, 0, 4, 0, 3, 1, 0, 2, 2, 1, 2, 2, 3, 4, 4, 3, 1, 1, 3, 3, 2, 0, 2, 1, 1, 4, 4, 3, 0, 2, 0, 2, 4, 4, 2, 2, 0, 1, 2, 0, 1, 0, 3, 2, 0, 0, 4, 3, 3, 2, 3, 1, 1, 4, 2, 3, 3, 2, 3, 0, 3, 3, 2, 0, 1, 0, 1, 4, 3, 4, 4, 3, 4, 4, 0, 2, 2, 4, 2, 4, 2, 1, 2, 2, 4, 0, 0, 0, 2, 1, 3, 1, 3, 2, 0, 1, 0, 1, 1, 2, 2, 4, 1, 0, 2, 4, 1, 2, 1, 4, 0, 4, 3, 4, 1, 4, 1, 2, 2, 2, 2, 3, 4, 3, 4, 0, 3, 4, 3, 1, 0, 2, 0, 1, 1, 3, 0, 1, 4, 2, 1, 1, 0, 2, 0, 1, 3, 0, 0, 0, 4, 4, 0, 0, 3, 1, 3, 1, 0, 1, 2, 1, 1, 1, 4, 4, 0, 1, 2, 4, 1, 2, 3, 0, 3, 4, 1, 0, 1, 0, 4, 2, 1, 2, 3, 3, 1, 1, 3, 3, 3, 0, 0, 3, 2, 0, 3, 4, 3, 1, 1, 4, 3, 3, 1, 1, 4, 2, 0, 3, 1, 0, 1, 0, 2, 2, 2, 3, 0, 2, 0, 3, 3, 2, 1, 3, 2, 1, 2, 0, 0, 4, 4, 1, 3, 1, 2, 1, 1, 3, 0, 4, 1, 1, 4, 1, 4, 0, 1, 0, 2, 2, 0, 1, 2, 2, 4, 3, 4, 3, 4, 0, 1, 2, 1, 2, 4, 0, 3, 1, 4, 4, 1, 0, 1, 3, 4, 4, 0, 2, 4, 2, 1, 0, 4, 1, 4, 3, 2, 3, 3, 0, 3, 2, 3]
pubkeycol1377 = [1, 4, 1, 2, 4, 2, 2, 3, 2, 2, 0, 0, 3, 4, 2, 1, 4, 1, 0, 4, 4, 2, 3, 0, 1, 0, 3, 2, 3, 0, 3, 1, 0, 0, 1, 3, 3, 2, 0, 1, 4, 2, 1, 2, 3, 1, 2, 0, 4, 3, 4, 4, 1, 3, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 4, 3, 4, 2, 2, 0, 0, 1, 3, 0, 1, 4, 4, 3, 4, 2, 0, 1, 1, 0, 0, 2, 0, 4, 1, 3, 3, 0, 4, 0, 1, 4, 3, 2, 0, 4, 4, 3, 0, 0, 0, 4, 4, 3, 1, 1, 2, 2, 1, 0, 3, 1, 4, 1, 3, 1, 4, 2, 4, 0, 2, 1, 1, 0, 2, 0, 0, 0, 3, 3, 0, 1, 1, 2, 3, 4, 0, 4, 3, 4, 2, 4, 1, 3, 2, 1, 1, 1, 2, 4, 2, 0, 0, 1, 3, 4, 1, 4, 1, 4, 2, 3, 1, 4, 1, 0, 2, 3, 1, 1, 3, 3, 0, 0, 2, 0, 4, 1, 3, 3, 3, 1, 2, 3, 2, 4, 0, 1, 4, 4, 3, 4, 1, 4, 1, 2, 4, 3, 2, 0, 3, 4, 4, 4, 4, 3, 4, 0, 3, 3, 3, 0, 1, 2, 2, 0, 3, 3, 4, 1, 3, 1, 0, 2, 4, 0, 1, 3, 3, 0, 2, 0, 4, 3, 4, 3, 3, 4, 3, 4, 1, 0, 2, 3, 2, 0, 1, 1, 0, 2, 0, 4, 0, 2, 1, 2, 3, 1, 3, 1, 3, 4, 3, 1, 1, 3, 2, 4, 2, 3, 3, 4, 2, 2, 3, 0, 3, 3, 2, 3, 4, 2, 1, 2, 2, 2, 4, 2, 4, 3, 4, 2, 3, 3, 2, 2, 2, 0, 1, 1, 3, 4, 1, 4, 1, 1, 3, 3, 4, 3, 1, 1, 2, 2, 1, 1, 1, 2, 1, 4, 0, 0, 0, 2, 3, 2, 4, 3, 2, 1, 4, 3, 1, 0, 1, 2, 0, 2, 4, 1, 0, 1, 2, 3, 3, 0, 4, 4, 4, 3, 0, 4, 0, 3, 1, 1, 1, 1, 4, 4, 4, 4, 3, 1, 3, 2, 3, 4, 2, 2, 1, 1, 3, 1, 0, 2, 1, 1, 2, 0, 1, 2, 4, 0, 4, 1, 1, 2, 4, 0, 3, 4, 2, 3, 0, 3, 2, 4, 2, 2, 4, 4, 2, 4, 4, 4, 3, 4, 4, 0, 0, 3, 2, 1, 2, 0, 0, 0, 1, 1, 1, 3, 3, 1, 2, 0, 4, 0, 3, 2, 1, 4, 2, 4, 0, 0, 1, 3, 0, 3, 2, 0, 2, 1, 2, 4, 2, 0, 0, 1, 0, 3, 1, 1, 4, 2, 1, 2, 3, 0, 4, 3, 0, 1, 0, 3, 2, 3, 3, 4, 0, 3, 1, 4, 0, 1, 4, 3, 2, 4, 4, 0, 3, 0, 0, 3, 3, 1, 1, 1, 0, 2, 0, 2, 3, 1, 1, 2, 3, 3]
pubkeycol1378 = [3, 2, 4, 1, 2, 1, 1, 2, 2, 2, 4, 1, 0, 2, 1, 1, 1, 4, 1, 0, 2, 4, 1, 3, 1, 3, 0, 2, 0, 1, 2, 4, 4, 3, 0, 1, 0, 0, 1, 3, 4, 4, 3, 1, 4, 1, 4, 0, 3, 0, 4, 0, 1, 0, 2, 4, 0, 1, 2, 4, 0, 0, 3, 3, 0, 4, 0, 4, 3, 2, 3, 3, 3, 4, 3, 4, 2, 4, 4, 4, 4, 2, 1, 0, 3, 3, 3, 0, 1, 2, 2, 1, 0, 4, 4, 0, 0, 3, 0, 0, 3, 4, 4, 1, 0, 1, 4, 0, 1, 3, 0, 1, 2, 1, 4, 1, 0, 1, 2, 4, 3, 1, 1, 3, 1, 0, 1, 3, 2, 1, 1, 0, 0, 3, 1, 3, 3, 2, 2, 0, 2, 2, 4, 0, 4, 3, 3, 3, 0, 4, 1, 2, 3, 2, 0, 3, 4, 4, 3, 1, 4, 2, 3, 4, 3, 2, 4, 0, 0, 0, 4, 4, 0, 4, 4, 3, 3, 1, 0, 4, 1, 0, 4, 0, 4, 3, 1, 3, 2, 0, 0, 4, 0, 4, 1, 0, 2, 1, 2, 0, 3, 4, 1, 0, 3, 4, 1, 0, 3, 1, 0, 3, 2, 2, 0, 1, 1, 0, 2, 3, 0, 0, 0, 2, 2, 0, 0, 3, 1, 3, 0, 3, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 4, 2, 2, 1, 3, 3, 2, 2, 2, 0, 3, 3, 1, 1, 0, 2, 2, 4, 2, 2, 0, 2, 3, 4, 0, 1, 4, 4, 0, 0, 1, 3, 3, 1, 0, 2, 1, 0, 4, 2, 0, 2, 1, 4, 0, 2, 4, 2, 4, 2, 1, 2, 4, 3, 3, 4, 1, 3, 3, 0, 1, 2, 0, 4, 1, 2, 1, 3, 2, 3, 4, 1, 2, 1, 4, 4, 0, 3, 0, 3, 1, 2, 2, 3, 1, 4, 4, 3, 4, 4, 2, 1, 0, 2, 1, 4, 3, 3, 4, 2, 3, 4, 1, 2, 3, 1, 3, 2, 3, 2, 0, 4, 0, 4, 4, 3, 2, 3, 2, 2, 4, 3, 4, 0, 2, 3, 0, 2, 1, 0, 0, 3, 1, 3, 3, 1, 0, 4, 3, 3, 1, 3, 3, 4, 2, 4, 4, 4, 2, 0, 0, 3, 3, 2, 0, 3, 0, 1, 0, 2, 3, 2, 0, 1, 0, 2, 4, 2, 4, 2, 3, 1, 3, 4, 3, 3, 3, 1, 0, 1, 2, 0, 4, 3, 0, 3, 4, 4, 1, 3, 0, 1, 1, 0, 3, 0, 2, 2, 2, 2, 3, 3, 1, 2, 3, 1, 0, 4, 1, 3, 3, 1, 2, 2, 4, 2, 0, 1, 0, 3, 3, 0, 0, 1, 1, 1, 4, 2, 2, 0, 4, 1, 4, 0, 4, 0, 2, 2, 1, 4, 4, 3, 0, 0, 4, 2, 4, 4, 2, 0, 1, 2, 1, 0, 3, 2, 3, 2, 0, 0, 0, 0, 3]
pubkeycol1379 = [2, 0, 4, 3, 3, 4, 0, 0, 1, 4, 0, 1, 2, 1, 4, 4, 3, 2, 0, 0, 1, 2, 3, 1, 4, 4, 2, 2, 2, 1, 1, 1, 2, 1, 3, 3, 2, 1, 1, 0, 3, 3, 3, 3, 0, 4, 4, 2, 4, 0, 3, 0, 0, 3, 0, 0, 4, 3, 3, 4, 1, 1, 0, 2, 4, 0, 1, 2, 2, 1, 3, 0, 3, 2, 2, 1, 2, 1, 4, 2, 1, 3, 3, 0, 1, 0, 2, 4, 2, 0, 2, 0, 0, 3, 2, 3, 3, 2, 1, 2, 4, 1, 1, 2, 0, 4, 2, 3, 1, 0, 4, 3, 1, 0, 0, 4, 2, 1, 4, 3, 0, 1, 1, 0, 1, 4, 0, 1, 2, 0, 0, 2, 0, 3, 3, 3, 4, 0, 0, 0, 0, 3, 2, 1, 4, 2, 1, 1, 0, 4, 0, 1, 4, 4, 3, 3, 1, 2, 0, 0, 2, 0, 0, 2, 2, 3, 1, 4, 0, 0, 3, 3, 3, 1, 2, 0, 4, 4, 3, 3, 0, 3, 2, 0, 4, 1, 1, 3, 4, 0, 4, 2, 1, 3, 3, 3, 4, 3, 4, 3, 4, 3, 2, 0, 3, 1, 2, 4, 0, 0, 1, 2, 0, 4, 4, 3, 1, 2, 3, 0, 4, 2, 1, 3, 4, 0, 3, 3, 0, 3, 4, 2, 3, 3, 2, 3, 4, 4, 0, 0, 2, 1, 3, 1, 2, 3, 1, 0, 3, 1, 3, 0, 4, 3, 0, 3, 3, 3, 4, 2, 3, 3, 1, 1, 4, 3, 0, 2, 2, 2, 4, 4, 4, 0, 3, 1, 0, 0, 4, 2, 0, 3, 2, 2, 0, 2, 2, 3, 0, 1, 2, 3, 3, 1, 0, 4, 3, 3, 3, 3, 1, 0, 0, 0, 2, 2, 3, 1, 1, 1, 2, 4, 4, 4, 1, 2, 0, 3, 2, 4, 2, 1, 3, 2, 3, 0, 1, 2, 4, 0, 1, 0, 0, 1, 1, 2, 2, 1, 4, 3, 0, 3, 0, 0, 1, 0, 4, 0, 2, 1, 1, 0, 1, 4, 4, 1, 0, 3, 1, 2, 3, 2, 2, 3, 0, 2, 0, 0, 1, 2, 3, 0, 2, 3, 4, 4, 2, 4, 2, 3, 3, 0, 2, 1, 2, 1, 4, 4, 0, 4, 4, 3, 0, 3, 1, 3, 1, 3, 4, 1, 1, 3, 2, 0, 2, 1, 3, 0, 2, 2, 4, 4, 2, 2, 1, 4, 2, 0, 4, 4, 2, 1, 3, 3, 1, 3, 1, 0, 3, 2, 2, 1, 3, 1, 1, 1, 2, 3, 2, 0, 0, 3, 3, 3, 4, 2, 1, 3, 1, 0, 1, 2, 3, 3, 4, 0, 0, 2, 3, 2, 2, 1, 4, 4, 0, 3, 3, 4, 0, 0, 2, 4, 3, 4, 3, 1, 3, 3, 0, 4, 3, 0, 2, 3, 3, 2, 1, 4, 0, 1, 4, 2, 3, 4, 3, 4, 2, 4, 3, 3, 0, 2, 1, 4, 0]
pubkeycol1380 = [0, 0, 0, 4, 4, 1, 4, 2, 3, 0, 4, 0, 1, 3, 2, 4, 1, 0, 2, 2, 2, 3, 2, 2, 4, 3, 1, 1, 3, 4, 4, 2, 2, 4, 1, 3, 2, 2, 0, 1, 4, 3, 1, 2, 0, 4, 2, 4, 3, 0, 2, 4, 2, 4, 2, 0, 2, 1, 3, 4, 0, 4, 0, 2, 4, 1, 4, 0, 4, 0, 3, 3, 0, 3, 1, 0, 4, 1, 4, 2, 4, 2, 3, 4, 4, 3, 0, 0, 2, 0, 4, 3, 2, 0, 2, 2, 2, 1, 4, 1, 0, 1, 3, 4, 4, 2, 1, 2, 3, 0, 4, 0, 4, 2, 1, 0, 4, 0, 1, 2, 3, 4, 1, 0, 1, 1, 2, 3, 4, 3, 0, 0, 0, 2, 2, 4, 4, 0, 2, 2, 4, 4, 2, 4, 4, 3, 2, 4, 4, 4, 2, 1, 4, 0, 4, 4, 2, 0, 3, 2, 2, 2, 2, 1, 3, 2, 0, 3, 2, 3, 4, 1, 4, 1, 4, 4, 4, 0, 3, 2, 2, 2, 2, 3, 4, 4, 2, 3, 0, 2, 3, 1, 2, 0, 0, 4, 2, 0, 1, 4, 1, 4, 4, 3, 3, 1, 2, 4, 2, 1, 1, 0, 1, 1, 0, 2, 1, 4, 0, 4, 1, 4, 2, 0, 1, 0, 3, 1, 4, 0, 0, 3, 1, 1, 2, 2, 1, 2, 4, 2, 0, 4, 4, 3, 2, 2, 2, 4, 4, 0, 2, 1, 3, 3, 0, 0, 1, 0, 1, 1, 4, 1, 1, 3, 1, 3, 3, 2, 4, 0, 4, 2, 1, 4, 4, 2, 0, 0, 3, 0, 1, 4, 3, 0, 1, 2, 2, 0, 0, 2, 4, 2, 3, 1, 0, 1, 4, 2, 2, 0, 3, 0, 4, 2, 0, 0, 1, 4, 2, 2, 3, 4, 4, 0, 3, 3, 3, 2, 0, 3, 3, 1, 4, 2, 2, 0, 3, 4, 1, 3, 3, 4, 0, 2, 4, 2, 4, 2, 0, 4, 2, 1, 4, 0, 1, 1, 1, 1, 4, 0, 4, 1, 1, 0, 1, 4, 0, 2, 0, 4, 0, 3, 3, 4, 4, 2, 1, 4, 2, 0, 1, 1, 4, 0, 2, 2, 4, 3, 3, 1, 2, 0, 3, 1, 0, 4, 2, 4, 1, 0, 0, 1, 1, 4, 4, 1, 4, 0, 2, 3, 1, 1, 0, 4, 2, 0, 0, 2, 2, 1, 0, 2, 3, 4, 0, 1, 2, 2, 4, 0, 0, 4, 1, 0, 0, 4, 0, 3, 0, 0, 0, 0, 3, 2, 4, 2, 0, 2, 3, 1, 3, 2, 4, 3, 3, 3, 2, 4, 1, 4, 4, 3, 2, 4, 2, 0, 2, 1, 4, 4, 2, 3, 0, 1, 4, 1, 4, 0, 3, 2, 4, 4, 3, 0, 3, 0, 1, 1, 0, 3, 1, 2, 2, 1, 4, 3, 2, 3, 4, 2, 0, 0, 2, 2, 1, 0, 0, 4, 4, 3, 0, 1, 3, 1, 1]
pubkeycol1381 = [2, 0, 3, 0, 4, 0, 2, 4, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 4, 1, 0, 4, 1, 3, 2, 1, 4, 0, 0, 4, 4, 3, 4, 1, 4, 2, 0, 1, 3, 3, 1, 2, 3, 3, 4, 4, 1, 1, 0, 1, 2, 2, 3, 4, 4, 4, 3, 2, 1, 2, 3, 2, 3, 2, 0, 2, 2, 3, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 4, 1, 0, 1, 4, 2, 0, 0, 4, 1, 2, 2, 2, 1, 2, 1, 3, 3, 0, 2, 2, 2, 2, 4, 1, 1, 0, 4, 3, 0, 2, 3, 1, 3, 1, 4, 4, 3, 0, 1, 0, 2, 1, 4, 4, 3, 1, 2, 3, 3, 1, 3, 1, 2, 4, 4, 2, 1, 0, 3, 1, 3, 3, 4, 2, 1, 4, 2, 0, 3, 2, 1, 1, 2, 3, 0, 1, 2, 3, 2, 4, 1, 0, 1, 4, 4, 2, 0, 2, 0, 0, 4, 4, 3, 2, 4, 3, 1, 0, 4, 1, 3, 3, 3, 4, 4, 0, 2, 2, 1, 2, 2, 4, 1, 3, 4, 4, 3, 3, 2, 0, 0, 0, 3, 2, 3, 3, 0, 1, 0, 4, 3, 4, 3, 1, 1, 4, 0, 2, 1, 4, 0, 4, 4, 1, 3, 0, 3, 1, 4, 4, 1, 4, 1, 4, 1, 1, 1, 3, 4, 2, 0, 1, 2, 1, 0, 4, 4, 2, 4, 2, 4, 1, 3, 1, 2, 1, 4, 0, 2, 1, 1, 4, 1, 3, 1, 3, 1, 2, 1, 2, 2, 3, 0, 2, 4, 2, 4, 3, 2, 0, 3, 0, 2, 2, 4, 1, 3, 1, 4, 4, 0, 1, 4, 3, 3, 2, 1, 4, 4, 1, 2, 2, 0, 4, 1, 1, 0, 1, 4, 4, 0, 2, 1, 0, 3, 1, 4, 0, 4, 4, 3, 4, 3, 4, 0, 2, 1, 0, 0, 0, 2, 2, 0, 3, 1, 1, 2, 2, 1, 3, 4, 3, 4, 1, 2, 1, 2, 4, 0, 1, 3, 2, 3, 2, 0, 3, 3, 3, 1, 3, 1, 0, 3, 2, 3, 2, 2, 0, 1, 0, 1, 0, 1, 3, 3, 4, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 3, 4, 0, 1, 0, 4, 1, 2, 0, 3, 2, 0, 0, 1, 1, 1, 0, 2, 1, 4, 0, 4, 1, 0, 0, 3, 0, 2, 0, 1, 0, 3, 3, 3, 1, 0, 2, 3, 0, 4, 1, 3, 4, 4, 2, 2, 4, 0, 4, 0, 1, 3, 1, 4, 2, 2, 3, 2, 4, 4, 2, 3, 0, 4, 1, 0, 2, 4, 4, 0, 1, 3, 2, 0, 1, 2, 2, 2, 4, 1, 0, 3, 2, 0, 0, 1, 3, 4, 2, 2, 2, 4, 3, 4, 0, 3, 3, 2, 4, 2, 0, 4, 3, 0, 4, 2, 4, 4, 3, 1, 0, 3, 2, 1, 4, 2, 4, 2]
pubkeycol1382 = [4, 2, 3, 2, 2, 1, 2, 2, 4, 3, 0, 4, 1, 4, 0, 1, 4, 4, 1, 0, 0, 2, 4, 1, 2, 2, 4, 1, 1, 3, 3, 1, 0, 3, 3, 2, 3, 3, 4, 2, 2, 3, 0, 0, 4, 1, 4, 3, 4, 4, 1, 4, 0, 2, 4, 2, 2, 0, 2, 2, 0, 1, 1, 3, 2, 0, 3, 3, 2, 3, 0, 3, 4, 3, 3, 1, 3, 2, 3, 4, 4, 2, 1, 4, 1, 0, 3, 2, 3, 0, 4, 0, 0, 4, 4, 2, 3, 3, 3, 3, 4, 0, 4, 4, 2, 1, 0, 1, 1, 2, 1, 1, 4, 3, 1, 3, 1, 2, 4, 4, 2, 2, 1, 4, 0, 1, 3, 4, 2, 0, 3, 2, 3, 0, 2, 4, 0, 3, 2, 3, 2, 1, 0, 0, 1, 0, 4, 3, 0, 1, 0, 2, 3, 4, 1, 2, 4, 4, 1, 0, 0, 2, 1, 1, 1, 3, 1, 1, 4, 3, 4, 4, 1, 0, 2, 2, 2, 1, 1, 1, 4, 2, 1, 1, 2, 4, 0, 1, 1, 0, 3, 1, 4, 3, 1, 2, 1, 0, 4, 4, 3, 1, 0, 2, 4, 3, 1, 4, 0, 2, 1, 4, 0, 4, 1, 1, 4, 1, 3, 0, 0, 0, 3, 0, 3, 4, 4, 2, 4, 1, 3, 3, 3, 4, 2, 2, 1, 4, 3, 4, 1, 1, 2, 0, 2, 4, 3, 3, 1, 0, 2, 2, 3, 1, 4, 2, 3, 2, 2, 0, 1, 1, 4, 3, 3, 0, 4, 1, 1, 4, 0, 3, 4, 2, 0, 0, 0, 0, 3, 2, 0, 0, 2, 1, 2, 3, 0, 0, 0, 2, 2, 4, 1, 0, 0, 0, 3, 0, 0, 3, 2, 2, 2, 3, 3, 0, 4, 4, 0, 1, 0, 4, 0, 1, 4, 2, 4, 0, 2, 1, 3, 2, 1, 1, 1, 3, 1, 4, 0, 2, 0, 1, 4, 3, 0, 0, 3, 1, 0, 3, 0, 0, 2, 3, 0, 1, 2, 2, 4, 0, 2, 0, 2, 2, 2, 3, 0, 0, 1, 0, 2, 1, 0, 0, 3, 0, 1, 1, 0, 2, 3, 0, 1, 3, 1, 1, 2, 0, 0, 4, 0, 3, 3, 0, 4, 1, 4, 1, 0, 0, 2, 0, 4, 2, 4, 1, 1, 4, 1, 3, 4, 1, 4, 1, 2, 4, 3, 1, 4, 3, 2, 4, 4, 0, 2, 0, 3, 3, 2, 3, 1, 4, 0, 3, 3, 1, 4, 3, 2, 3, 0, 4, 3, 0, 4, 3, 2, 2, 2, 4, 1, 1, 2, 3, 3, 0, 1, 4, 0, 2, 2, 2, 0, 4, 4, 1, 4, 2, 1, 1, 2, 4, 4, 4, 1, 4, 3, 0, 4, 2, 4, 0, 1, 3, 3, 0, 4, 0, 2, 3, 4, 4, 3, 4, 4, 0, 1, 1, 0, 4, 4, 0, 1, 0, 3, 4, 1, 0, 1, 0, 1, 3, 0, 2, 4]
pubkeycol1383 = [0, 0, 3, 1, 4, 1, 2, 1, 0, 4, 0, 4, 1, 0, 3, 3, 4, 0, 3, 2, 4, 4, 2, 1, 0, 4, 4, 0, 1, 1, 1, 0, 1, 0, 4, 1, 3, 2, 3, 2, 0, 0, 3, 3, 2, 2, 0, 1, 4, 3, 1, 1, 3, 3, 0, 3, 2, 2, 0, 3, 4, 4, 4, 4, 0, 4, 1, 2, 4, 2, 4, 2, 2, 3, 1, 4, 4, 4, 1, 0, 4, 3, 1, 3, 1, 2, 1, 1, 1, 4, 4, 3, 1, 0, 3, 0, 3, 0, 1, 1, 4, 2, 0, 1, 4, 0, 4, 4, 4, 3, 4, 1, 3, 0, 2, 4, 3, 2, 1, 3, 0, 0, 0, 2, 2, 0, 4, 3, 4, 1, 4, 2, 0, 0, 1, 3, 0, 4, 2, 1, 3, 4, 3, 2, 4, 3, 3, 0, 2, 3, 2, 0, 4, 3, 0, 3, 1, 1, 0, 4, 3, 1, 2, 0, 3, 4, 4, 0, 1, 1, 0, 4, 0, 3, 3, 1, 1, 2, 1, 3, 0, 2, 3, 2, 3, 3, 1, 3, 3, 2, 1, 4, 4, 1, 3, 1, 4, 4, 0, 1, 1, 2, 1, 0, 3, 4, 4, 3, 4, 3, 2, 2, 3, 0, 1, 2, 0, 2, 3, 4, 2, 1, 3, 1, 0, 1, 2, 0, 2, 2, 2, 1, 4, 0, 3, 2, 3, 3, 4, 4, 2, 1, 3, 3, 2, 1, 1, 0, 3, 0, 0, 3, 3, 1, 2, 0, 0, 1, 2, 3, 0, 2, 0, 3, 1, 3, 4, 1, 2, 3, 4, 0, 1, 1, 3, 2, 3, 3, 1, 1, 3, 2, 1, 4, 1, 2, 0, 4, 1, 3, 1, 0, 2, 0, 4, 3, 2, 2, 1, 4, 3, 2, 4, 0, 3, 3, 4, 1, 3, 2, 0, 3, 2, 1, 0, 3, 4, 4, 0, 1, 4, 4, 0, 2, 4, 3, 4, 0, 2, 0, 2, 0, 0, 4, 4, 0, 2, 2, 3, 4, 2, 0, 3, 1, 0, 1, 0, 3, 3, 4, 3, 4, 1, 3, 2, 4, 1, 1, 3, 4, 0, 2, 1, 0, 3, 1, 4, 3, 3, 0, 4, 0, 4, 1, 1, 2, 4, 3, 4, 3, 0, 4, 1, 4, 0, 1, 4, 0, 3, 4, 3, 3, 3, 0, 3, 0, 4, 0, 2, 2, 2, 1, 4, 3, 2, 4, 1, 1, 1, 3, 1, 3, 4, 2, 1, 4, 3, 2, 2, 2, 0, 2, 2, 3, 0, 1, 2, 1, 4, 3, 3, 4, 2, 2, 3, 3, 2, 2, 4, 1, 4, 4, 0, 2, 3, 4, 0, 3, 3, 1, 4, 4, 4, 4, 1, 4, 0, 0, 3, 0, 4, 4, 3, 4, 4, 0, 0, 2, 3, 1, 4, 0, 0, 0, 1, 4, 0, 1, 1, 2, 0, 2, 1, 3, 4, 2, 3, 0, 1, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 4, 4, 0, 1, 4, 4]
pubkeycol1384 = [0, 3, 4, 2, 1, 3, 4, 4, 4, 4, 0, 3, 2, 3, 4, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 3, 2, 0, 3, 1, 4, 3, 4, 2, 2, 4, 1, 0, 3, 3, 2, 0, 2, 1, 3, 3, 3, 3, 2, 1, 4, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 4, 4, 3, 3, 3, 3, 3, 1, 2, 2, 3, 0, 1, 4, 1, 0, 1, 2, 2, 1, 0, 4, 3, 1, 1, 4, 0, 1, 4, 4, 1, 2, 1, 4, 4, 4, 2, 3, 1, 0, 4, 2, 2, 3, 4, 2, 0, 4, 0, 2, 4, 1, 2, 4, 4, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 4, 2, 2, 3, 2, 1, 1, 1, 4, 1, 1, 0, 1, 4, 1, 2, 4, 0, 4, 4, 0, 1, 2, 4, 1, 0, 3, 2, 4, 4, 1, 2, 3, 4, 3, 2, 2, 1, 4, 1, 1, 3, 0, 1, 3, 3, 4, 2, 0, 3, 3, 2, 4, 2, 2, 4, 0, 1, 1, 4, 1, 4, 1, 2, 1, 1, 4, 4, 1, 4, 3, 4, 4, 1, 1, 2, 3, 3, 2, 0, 0, 1, 3, 3, 1, 4, 2, 2, 0, 0, 4, 4, 2, 0, 2, 2, 2, 2, 0, 4, 4, 2, 3, 4, 1, 4, 4, 0, 4, 0, 1, 0, 1, 3, 3, 0, 0, 0, 0, 3, 1, 2, 1, 3, 0, 0, 1, 0, 3, 0, 0, 0, 0, 1, 1, 0, 4, 3, 4, 2, 1, 2, 0, 0, 3, 1, 2, 2, 3, 4, 4, 2, 4, 3, 3, 4, 2, 2, 1, 0, 4, 4, 0, 1, 0, 2, 4, 0, 2, 3, 2, 3, 2, 2, 4, 4, 3, 1, 4, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 4, 4, 2, 3, 0, 0, 4, 0, 1, 1, 0, 1, 2, 2, 1, 4, 4, 0, 4, 2, 0, 1, 1, 4, 3, 2, 3, 1, 2, 0, 4, 3, 0, 3, 2, 4, 2, 3, 4, 3, 4, 3, 0, 0, 2, 2, 2, 1, 0, 0, 0, 3, 0, 1, 2, 1, 4, 2, 4, 3, 3, 0, 1, 1, 0, 3, 0, 2, 3, 4, 4, 4, 3, 0, 2, 1, 1, 1, 2, 0, 4, 0, 4, 3, 2, 1, 1, 1, 3, 0, 0, 0, 4, 4, 3, 2, 3, 3, 0, 2, 0, 3, 3, 4, 0, 2, 4, 4, 2, 3, 1, 2, 4, 3, 2, 1, 4, 1, 3, 2, 4, 2, 1, 3, 3, 1, 2, 4, 1, 1, 1, 4, 0, 4, 1, 2, 4, 0, 0, 3, 0, 0, 3, 1, 1, 2, 0, 1, 3, 3, 0, 4, 0, 0, 2, 2, 0, 4, 4, 2, 0, 0, 1, 3, 3, 0, 4, 3, 0, 0, 0, 1, 2, 0, 2, 4, 4, 2, 0, 4, 2]
pubkeycol1385 = [3, 1, 2, 1, 2, 3, 2, 3, 1, 1, 0, 1, 3, 3, 4, 0, 2, 4, 1, 0, 2, 2, 4, 2, 4, 1, 2, 3, 4, 4, 1, 0, 4, 2, 4, 1, 4, 3, 2, 1, 0, 1, 3, 0, 4, 1, 0, 3, 0, 1, 4, 0, 3, 3, 2, 4, 0, 1, 4, 3, 0, 1, 2, 2, 3, 3, 0, 1, 3, 1, 2, 1, 1, 0, 0, 4, 3, 3, 1, 2, 3, 3, 4, 4, 4, 0, 4, 0, 0, 3, 0, 3, 0, 4, 3, 0, 0, 1, 0, 0, 1, 1, 4, 4, 2, 0, 3, 2, 2, 4, 0, 0, 2, 0, 3, 4, 1, 1, 3, 1, 2, 1, 1, 1, 2, 0, 4, 0, 2, 1, 0, 0, 0, 0, 3, 3, 4, 1, 2, 0, 0, 1, 4, 3, 4, 0, 3, 4, 4, 1, 2, 2, 3, 0, 3, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 4, 4, 0, 4, 3, 0, 1, 2, 1, 0, 4, 4, 0, 0, 0, 1, 4, 4, 0, 3, 4, 3, 3, 0, 1, 0, 3, 1, 1, 1, 1, 3, 3, 3, 3, 0, 3, 3, 1, 3, 1, 2, 0, 4, 4, 1, 0, 4, 3, 1, 4, 1, 0, 2, 4, 4, 1, 1, 3, 4, 3, 0, 4, 4, 4, 0, 1, 2, 0, 4, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 4, 2, 4, 0, 2, 1, 4, 4, 0, 2, 2, 1, 4, 4, 4, 1, 3, 1, 1, 1, 4, 3, 4, 3, 3, 3, 1, 3, 4, 4, 3, 3, 2, 1, 0, 0, 2, 2, 2, 3, 2, 4, 3, 0, 0, 3, 1, 4, 3, 1, 2, 2, 0, 1, 1, 3, 0, 4, 4, 1, 3, 2, 4, 4, 3, 0, 1, 0, 1, 1, 4, 3, 2, 1, 3, 0, 1, 3, 4, 2, 1, 3, 4, 1, 1, 3, 4, 3, 1, 4, 4, 2, 2, 2, 4, 1, 1, 1, 1, 4, 1, 1, 1, 4, 2, 1, 0, 3, 0, 1, 3, 2, 1, 0, 4, 4, 1, 1, 1, 0, 3, 0, 0, 0, 2, 1, 1, 3, 3, 3, 4, 4, 3, 1, 0, 0, 4, 0, 0, 2, 4, 0, 2, 1, 0, 3, 4, 2, 3, 3, 2, 1, 4, 3, 1, 4, 4, 1, 0, 3, 1, 0, 0, 4, 0, 4, 3, 3, 2, 2, 4, 2, 0, 3, 2, 2, 3, 4, 0, 2, 4, 3, 3, 0, 2, 4, 4, 0, 3, 4, 4, 3, 3, 0, 1, 3, 1, 4, 2, 2, 2, 2, 4, 1, 2, 0, 1, 4, 3, 0, 4, 0, 1, 1, 3, 4, 3, 4, 0, 4, 2, 2, 2, 0, 1, 1, 0, 1, 4, 0, 1, 0, 1, 3, 4, 1, 1, 3, 3, 3, 2, 1, 0, 3, 2, 4, 3, 3, 4, 1, 0, 3, 2, 2, 3, 3, 0]
pubkeycol1386 = [4, 0, 1, 4, 4, 2, 1, 0, 2, 3, 0, 0, 0, 2, 1, 0, 0, 2, 4, 0, 4, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 3, 1, 3, 2, 1, 3, 3, 2, 2, 4, 2, 0, 4, 2, 4, 2, 4, 0, 4, 3, 3, 0, 2, 2, 0, 3, 0, 3, 0, 1, 2, 3, 4, 1, 2, 2, 2, 2, 2, 0, 0, 1, 3, 4, 4, 1, 0, 3, 4, 3, 0, 0, 4, 1, 1, 0, 1, 1, 4, 4, 3, 0, 2, 3, 0, 4, 0, 1, 4, 4, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 4, 3, 4, 1, 4, 1, 4, 2, 1, 4, 4, 3, 2, 4, 3, 3, 2, 1, 3, 1, 4, 4, 1, 0, 4, 1, 1, 1, 4, 3, 2, 3, 1, 2, 2, 4, 3, 0, 1, 2, 1, 3, 0, 1, 2, 1, 2, 2, 3, 1, 2, 4, 0, 0, 2, 2, 4, 4, 4, 4, 4, 4, 1, 1, 4, 1, 1, 1, 4, 0, 0, 3, 0, 2, 3, 4, 2, 3, 1, 1, 1, 0, 0, 2, 1, 3, 4, 0, 4, 0, 3, 0, 0, 1, 3, 4, 2, 2, 0, 0, 0, 0, 0, 2, 0, 3, 3, 4, 1, 3, 4, 3, 4, 3, 1, 3, 4, 0, 3, 1, 4, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 3, 4, 3, 3, 3, 2, 0, 3, 4, 1, 0, 3, 3, 0, 4, 4, 3, 2, 3, 2, 3, 2, 4, 3, 2, 4, 3, 1, 2, 0, 2, 1, 1, 1, 0, 1, 4, 3, 1, 2, 3, 0, 0, 3, 4, 2, 0, 3, 2, 0, 2, 2, 0, 0, 3, 2, 3, 1, 2, 4, 2, 4, 2, 0, 4, 2, 3, 3, 0, 3, 1, 1, 2, 0, 2, 3, 4, 3, 0, 4, 1, 2, 0, 2, 0, 4, 2, 1, 4, 1, 0, 3, 1, 0, 3, 4, 3, 3, 1, 0, 2, 1, 3, 2, 1, 4, 2, 3, 4, 4, 1, 2, 4, 0, 0, 2, 0, 4, 4, 2, 0, 0, 3, 2, 4, 1, 3, 1, 0, 3, 0, 4, 2, 4, 0, 3, 0, 1, 2, 0, 3, 4, 2, 4, 4, 1, 2, 0, 1, 4, 0, 3, 4, 1, 2, 0, 1, 1, 2, 2, 4, 1, 4, 1, 1, 2, 3, 1, 0, 2, 4, 4, 4, 3, 4, 3, 4, 4, 0, 0, 3, 4, 0, 4, 0, 2, 1, 4, 2, 2, 4, 0, 2, 2, 1, 4, 4, 1, 2, 2, 0, 1, 4, 4, 0, 4, 3, 1, 2, 1, 2, 1, 3, 1, 3, 3, 0, 2, 3, 1, 4, 3, 0, 3, 3, 4, 3, 0, 1, 0, 4, 4, 4, 1, 2, 2, 4, 4, 0, 0, 4, 0, 3, 2, 1, 4, 0, 3, 4, 4, 3, 3, 1, 4, 4, 2, 1]
pubkeycol1387 = [4, 1, 4, 1, 0, 2, 3, 0, 3, 0, 4, 2, 4, 2, 0, 1, 4, 0, 0, 4, 2, 4, 0, 3, 0, 3, 4, 0, 0, 3, 0, 4, 0, 1, 1, 0, 4, 3, 0, 2, 4, 4, 2, 4, 1, 4, 0, 1, 3, 2, 4, 1, 0, 0, 0, 2, 3, 0, 3, 1, 3, 4, 3, 3, 2, 2, 1, 0, 1, 0, 1, 1, 3, 3, 3, 0, 2, 2, 4, 2, 2, 2, 4, 2, 4, 1, 2, 1, 0, 3, 1, 1, 1, 4, 1, 1, 3, 1, 3, 4, 1, 4, 2, 1, 2, 3, 1, 3, 0, 3, 3, 4, 1, 4, 4, 1, 1, 3, 1, 0, 4, 2, 1, 1, 4, 0, 1, 1, 0, 4, 3, 1, 3, 4, 4, 0, 0, 1, 4, 2, 0, 4, 3, 2, 1, 3, 2, 0, 2, 2, 0, 0, 4, 4, 4, 4, 0, 1, 2, 3, 3, 4, 1, 3, 1, 0, 2, 4, 1, 1, 4, 3, 2, 1, 3, 2, 2, 4, 3, 2, 2, 4, 1, 4, 0, 2, 2, 3, 2, 1, 0, 2, 4, 1, 2, 4, 4, 2, 4, 4, 4, 2, 4, 4, 1, 1, 0, 0, 4, 4, 3, 0, 4, 0, 0, 0, 4, 4, 0, 4, 2, 3, 1, 0, 2, 0, 3, 4, 2, 4, 4, 3, 3, 4, 2, 3, 2, 4, 4, 0, 0, 2, 4, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 4, 2, 0, 2, 2, 1, 1, 1, 2, 1, 3, 1, 4, 3, 4, 1, 4, 3, 0, 0, 1, 2, 4, 2, 4, 0, 3, 3, 1, 2, 4, 4, 3, 1, 3, 3, 1, 1, 3, 3, 4, 0, 2, 3, 0, 1, 0, 1, 1, 3, 3, 2, 1, 0, 0, 3, 3, 1, 4, 3, 4, 4, 3, 3, 2, 4, 3, 3, 1, 1, 1, 2, 2, 1, 2, 4, 3, 3, 1, 0, 0, 4, 1, 1, 1, 0, 2, 0, 0, 4, 3, 3, 0, 0, 1, 0, 2, 1, 0, 4, 1, 2, 2, 1, 0, 4, 0, 1, 1, 2, 3, 0, 2, 4, 4, 3, 1, 1, 4, 0, 3, 3, 1, 1, 1, 4, 1, 4, 4, 2, 4, 0, 2, 3, 2, 1, 2, 2, 1, 3, 3, 4, 1, 3, 0, 0, 3, 0, 0, 0, 0, 2, 2, 4, 1, 1, 0, 0, 2, 2, 1, 0, 3, 2, 0, 3, 0, 2, 0, 2, 4, 0, 3, 3, 0, 3, 3, 1, 4, 3, 2, 1, 3, 0, 0, 1, 3, 4, 3, 0, 3, 4, 2, 1, 2, 2, 1, 4, 1, 1, 4, 1, 3, 1, 3, 3, 4, 3, 2, 3, 2, 1, 4, 4, 2, 3, 2, 3, 0, 3, 3, 1, 1, 0, 3, 4, 0, 4, 3, 4, 3, 0, 3, 4, 4, 2, 0, 3, 3, 3, 2, 3, 4, 0, 2, 0, 3, 2, 2, 0, 0]
pubkeycol1388 = [1, 4, 1, 3, 4, 2, 4, 4, 3, 4, 2, 4, 3, 2, 0, 3, 0, 0, 0, 3, 3, 2, 4, 3, 3, 4, 1, 2, 2, 4, 4, 4, 4, 3, 3, 4, 1, 0, 0, 1, 3, 3, 0, 4, 2, 4, 0, 0, 4, 0, 0, 2, 3, 1, 1, 2, 0, 4, 0, 3, 2, 2, 3, 0, 2, 1, 1, 1, 4, 1, 4, 3, 2, 3, 4, 2, 2, 0, 3, 4, 3, 4, 1, 2, 4, 2, 4, 3, 2, 4, 0, 0, 2, 1, 2, 2, 2, 3, 1, 1, 0, 1, 3, 1, 2, 0, 3, 1, 1, 0, 4, 4, 2, 4, 4, 0, 3, 0, 4, 1, 4, 0, 0, 4, 4, 0, 3, 4, 4, 1, 2, 4, 4, 1, 1, 3, 0, 4, 0, 2, 1, 2, 3, 2, 0, 4, 1, 4, 0, 2, 3, 3, 4, 0, 1, 0, 1, 0, 4, 1, 0, 4, 4, 3, 3, 3, 0, 2, 2, 4, 0, 4, 4, 2, 2, 3, 1, 3, 3, 1, 4, 1, 4, 4, 0, 3, 1, 4, 3, 0, 3, 4, 0, 4, 4, 1, 4, 0, 1, 1, 4, 4, 4, 0, 0, 2, 2, 2, 2, 2, 3, 1, 3, 3, 4, 2, 1, 1, 4, 3, 1, 1, 1, 1, 3, 0, 3, 2, 3, 3, 1, 2, 3, 3, 1, 0, 1, 2, 0, 2, 3, 1, 0, 2, 0, 0, 4, 3, 0, 0, 2, 3, 4, 4, 0, 0, 4, 1, 0, 3, 2, 2, 1, 4, 1, 2, 4, 4, 1, 0, 1, 3, 4, 4, 1, 1, 3, 3, 0, 1, 2, 4, 3, 4, 0, 1, 3, 2, 3, 1, 0, 0, 2, 2, 4, 2, 0, 2, 1, 1, 2, 4, 3, 3, 1, 3, 0, 3, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 4, 2, 1, 0, 2, 2, 2, 4, 4, 4, 3, 1, 4, 0, 4, 4, 2, 0, 2, 0, 2, 0, 3, 3, 3, 4, 4, 2, 3, 1, 2, 1, 0, 2, 1, 0, 1, 0, 3, 1, 0, 1, 1, 2, 4, 4, 1, 4, 0, 2, 1, 2, 1, 2, 0, 4, 4, 3, 0, 4, 2, 3, 4, 0, 4, 0, 2, 3, 0, 2, 0, 1, 1, 4, 3, 1, 3, 2, 4, 1, 0, 4, 2, 1, 0, 0, 4, 4, 0, 2, 1, 2, 3, 3, 3, 2, 4, 1, 3, 2, 0, 0, 3, 3, 3, 3, 1, 2, 2, 0, 3, 0, 3, 4, 3, 3, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 3, 0, 4, 4, 1, 2, 2, 0, 4, 1, 1, 1, 3, 4, 1, 4, 2, 4, 4, 3, 0, 3, 1, 2, 0, 1, 2, 1, 0, 2, 3, 4, 3, 1, 3, 2, 4, 1, 3, 3, 0, 2, 1, 1, 2, 4, 1, 0, 2, 0, 0, 2, 1, 3]
pubkeycol1389 = [2, 2, 4, 3, 2, 2, 1, 0, 3, 4, 3, 0, 0, 4, 1, 3, 2, 2, 0, 3, 2, 4, 3, 3, 1, 2, 2, 4, 1, 3, 0, 3, 2, 2, 2, 0, 0, 3, 1, 0, 0, 3, 3, 4, 1, 4, 4, 3, 3, 3, 0, 4, 3, 2, 4, 0, 2, 3, 0, 4, 3, 3, 2, 0, 1, 4, 3, 4, 3, 2, 1, 4, 0, 1, 0, 0, 2, 2, 4, 1, 3, 4, 4, 3, 2, 1, 3, 2, 1, 3, 0, 3, 2, 4, 3, 1, 3, 2, 4, 3, 4, 3, 0, 1, 0, 1, 2, 3, 4, 0, 3, 0, 1, 3, 3, 1, 2, 0, 0, 2, 3, 1, 1, 1, 2, 0, 1, 1, 3, 2, 0, 2, 0, 1, 2, 2, 4, 2, 3, 2, 0, 2, 1, 2, 2, 3, 2, 2, 3, 1, 3, 0, 0, 4, 0, 2, 1, 2, 1, 2, 1, 0, 0, 3, 2, 0, 1, 3, 3, 2, 2, 3, 0, 3, 3, 4, 3, 4, 4, 2, 4, 0, 1, 2, 3, 0, 1, 4, 2, 2, 3, 3, 1, 3, 4, 2, 3, 4, 1, 1, 2, 3, 3, 4, 0, 1, 1, 1, 0, 4, 4, 3, 3, 1, 0, 0, 4, 0, 3, 0, 3, 3, 2, 2, 4, 3, 2, 0, 2, 3, 1, 1, 2, 1, 0, 3, 4, 3, 3, 3, 2, 4, 4, 0, 2, 2, 0, 1, 2, 0, 2, 0, 3, 1, 1, 3, 1, 4, 1, 2, 1, 4, 3, 2, 2, 4, 4, 4, 2, 0, 4, 1, 2, 3, 3, 0, 0, 1, 4, 1, 4, 2, 3, 0, 2, 1, 4, 1, 2, 1, 3, 3, 2, 1, 1, 3, 4, 2, 3, 1, 3, 1, 4, 2, 1, 2, 2, 4, 2, 3, 2, 0, 1, 1, 0, 0, 2, 0, 0, 4, 2, 2, 0, 0, 4, 1, 2, 1, 4, 1, 4, 1, 4, 4, 2, 4, 4, 4, 3, 2, 3, 0, 4, 1, 0, 4, 4, 4, 1, 1, 4, 4, 3, 1, 4, 3, 0, 2, 4, 0, 0, 2, 4, 0, 3, 2, 0, 1, 4, 1, 0, 3, 2, 2, 0, 3, 4, 2, 2, 0, 2, 1, 0, 4, 2, 0, 0, 2, 0, 0, 0, 4, 3, 4, 0, 0, 2, 0, 4, 0, 1, 4, 3, 3, 3, 1, 3, 3, 2, 2, 4, 0, 3, 4, 4, 2, 4, 1, 3, 0, 2, 3, 4, 4, 4, 1, 0, 0, 2, 2, 3, 4, 1, 1, 0, 1, 4, 0, 3, 3, 3, 0, 3, 2, 3, 1, 1, 2, 0, 1, 1, 4, 0, 4, 0, 0, 3, 3, 4, 1, 0, 4, 3, 0, 3, 2, 0, 4, 2, 4, 4, 3, 2, 3, 3, 0, 4, 2, 3, 1, 0, 3, 4, 1, 1, 2, 2, 3, 4, 0, 4, 0, 4, 3, 1, 1, 3, 4, 2, 2, 0, 0, 2, 0, 1]
pubkeycol1390 = [0, 2, 3, 0, 4, 3, 3, 4, 0, 0, 4, 4, 0, 0, 0, 2, 2, 4, 3, 4, 3, 4, 4, 1, 1, 3, 1, 1, 3, 0, 4, 0, 4, 1, 3, 2, 0, 3, 2, 0, 0, 3, 2, 2, 1, 1, 2, 1, 1, 2, 2, 4, 0, 0, 3, 1, 4, 0, 3, 1, 2, 4, 3, 2, 3, 3, 2, 1, 0, 4, 1, 0, 0, 2, 1, 1, 3, 1, 1, 4, 4, 0, 4, 1, 1, 2, 3, 0, 1, 3, 2, 3, 0, 0, 0, 3, 0, 3, 3, 0, 2, 3, 0, 2, 4, 0, 1, 3, 4, 4, 0, 3, 1, 0, 4, 3, 1, 4, 1, 1, 1, 1, 1, 3, 2, 4, 4, 0, 0, 2, 2, 0, 4, 4, 0, 4, 3, 4, 1, 3, 4, 4, 3, 3, 3, 2, 4, 2, 1, 1, 3, 1, 1, 0, 1, 2, 1, 4, 3, 0, 3, 3, 4, 4, 4, 4, 4, 1, 3, 2, 3, 0, 1, 2, 0, 0, 0, 1, 4, 1, 3, 0, 4, 3, 0, 0, 2, 0, 4, 2, 4, 1, 2, 4, 4, 4, 4, 0, 2, 2, 2, 1, 2, 2, 4, 3, 0, 2, 2, 2, 0, 1, 3, 1, 1, 4, 3, 0, 3, 1, 2, 4, 2, 3, 3, 0, 4, 2, 3, 4, 2, 4, 3, 0, 3, 4, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 4, 3, 1, 4, 0, 3, 4, 0, 1, 4, 2, 3, 2, 2, 0, 2, 0, 0, 1, 3, 1, 2, 3, 2, 0, 0, 0, 1, 3, 1, 3, 1, 0, 3, 1, 1, 1, 4, 4, 1, 2, 1, 2, 1, 3, 2, 1, 3, 1, 1, 1, 4, 3, 3, 1, 4, 4, 4, 4, 2, 0, 0, 0, 2, 3, 1, 0, 1, 1, 0, 4, 1, 2, 2, 0, 0, 3, 1, 0, 0, 1, 1, 1, 0, 1, 4, 4, 4, 0, 0, 2, 1, 0, 1, 2, 4, 0, 4, 3, 3, 0, 0, 4, 2, 0, 0, 4, 2, 1, 0, 1, 3, 3, 2, 3, 3, 1, 1, 1, 3, 4, 0, 2, 0, 0, 3, 2, 1, 1, 4, 2, 3, 2, 0, 1, 1, 3, 3, 2, 4, 2, 1, 2, 2, 1, 3, 3, 0, 3, 0, 3, 1, 0, 3, 3, 2, 0, 3, 0, 0, 1, 3, 2, 0, 4, 0, 1, 3, 3, 2, 3, 1, 0, 3, 2, 3, 2, 1, 2, 1, 0, 3, 3, 2, 0, 4, 4, 0, 3, 1, 3, 0, 4, 4, 2, 2, 3, 1, 3, 2, 0, 3, 2, 2, 4, 0, 2, 2, 3, 0, 0, 2, 1, 1, 1, 3, 4, 2, 3, 1, 3, 0, 3, 3, 2, 0, 0, 1, 1, 2, 4, 2, 3, 0, 3, 0, 2, 3, 4, 1, 4, 2, 3, 3, 4, 4, 1, 4, 3, 2, 2, 0, 3, 3, 2, 0, 0]
pubkeycol1391 = [2, 0, 2, 3, 2, 3, 2, 1, 3, 3, 3, 3, 0, 2, 1, 3, 0, 0, 3, 3, 3, 2, 0, 0, 0, 1, 3, 1, 3, 2, 4, 0, 2, 0, 2, 4, 4, 1, 3, 1, 2, 3, 0, 1, 4, 3, 4, 3, 0, 4, 2, 1, 1, 2, 3, 3, 0, 0, 0, 2, 2, 4, 4, 2, 3, 4, 3, 2, 4, 2, 2, 3, 4, 2, 3, 1, 2, 3, 1, 3, 1, 1, 3, 2, 2, 4, 2, 1, 1, 3, 3, 4, 0, 4, 0, 1, 4, 0, 1, 1, 4, 4, 0, 0, 2, 4, 2, 3, 4, 1, 4, 2, 0, 4, 4, 1, 0, 0, 4, 3, 3, 3, 4, 0, 3, 3, 2, 4, 4, 0, 3, 4, 2, 1, 3, 2, 2, 4, 3, 3, 2, 0, 0, 3, 4, 1, 2, 4, 4, 1, 0, 3, 0, 4, 2, 2, 1, 0, 1, 2, 4, 0, 4, 1, 2, 1, 4, 2, 2, 4, 1, 3, 0, 2, 4, 4, 3, 2, 0, 1, 0, 3, 2, 0, 0, 1, 3, 2, 0, 4, 3, 4, 0, 2, 4, 4, 2, 0, 4, 3, 3, 2, 0, 0, 1, 3, 0, 1, 2, 0, 1, 3, 3, 0, 2, 2, 0, 3, 0, 1, 3, 0, 1, 1, 0, 2, 1, 4, 1, 0, 4, 2, 2, 4, 3, 1, 4, 3, 3, 3, 3, 4, 3, 4, 2, 4, 3, 2, 2, 1, 2, 4, 0, 0, 3, 1, 2, 4, 4, 2, 4, 0, 2, 0, 2, 4, 3, 1, 3, 1, 1, 4, 4, 3, 4, 0, 3, 1, 1, 0, 1, 2, 4, 0, 0, 4, 3, 3, 4, 3, 2, 0, 4, 0, 1, 2, 1, 3, 1, 4, 0, 0, 4, 0, 0, 1, 0, 2, 3, 0, 2, 0, 3, 0, 2, 2, 1, 3, 4, 1, 4, 2, 2, 4, 0, 2, 1, 2, 3, 2, 1, 2, 4, 2, 0, 1, 3, 4, 3, 0, 1, 1, 0, 0, 0, 4, 2, 0, 4, 3, 4, 0, 2, 0, 0, 2, 3, 1, 3, 0, 1, 0, 1, 4, 2, 3, 3, 4, 1, 1, 0, 0, 4, 2, 1, 0, 1, 4, 4, 0, 1, 2, 0, 0, 4, 4, 3, 2, 0, 2, 3, 0, 4, 0, 2, 0, 2, 1, 3, 4, 2, 2, 2, 1, 3, 1, 1, 3, 3, 2, 3, 1, 4, 1, 4, 1, 1, 1, 2, 0, 3, 1, 4, 2, 3, 3, 3, 1, 3, 2, 3, 1, 1, 2, 4, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 3, 2, 0, 4, 1, 2, 2, 1, 3, 1, 2, 1, 1, 1, 0, 4, 2, 3, 4, 0, 2, 4, 1, 4, 3, 3, 2, 2, 2, 3, 2, 1, 2, 3, 1, 0, 4, 1, 4, 1, 1, 4, 2, 3, 0, 4, 0, 1, 1, 3, 2, 1, 1, 0, 2, 2, 0, 0, 0, 3]
pubkeycol1392 = [2, 2, 3, 2, 3, 3, 3, 3, 0, 0, 4, 3, 2, 0, 4, 4, 3, 0, 1, 3, 4, 4, 2, 2, 3, 1, 0, 2, 1, 0, 3, 3, 4, 4, 4, 1, 2, 2, 2, 1, 2, 0, 4, 0, 0, 3, 2, 2, 3, 3, 4, 1, 3, 4, 0, 3, 0, 1, 4, 3, 1, 1, 2, 2, 2, 4, 0, 0, 4, 0, 0, 2, 2, 4, 3, 0, 3, 1, 4, 3, 2, 0, 4, 3, 4, 4, 1, 2, 4, 0, 0, 2, 1, 4, 4, 2, 1, 2, 4, 2, 3, 2, 1, 0, 4, 3, 0, 1, 2, 3, 3, 1, 0, 2, 2, 4, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 4, 4, 2, 0, 3, 1, 4, 4, 4, 0, 1, 1, 0, 1, 2, 1, 1, 4, 1, 1, 4, 4, 4, 2, 0, 2, 2, 1, 2, 4, 2, 4, 2, 0, 2, 4, 3, 1, 4, 0, 0, 1, 3, 2, 0, 1, 0, 1, 1, 1, 3, 1, 4, 3, 0, 4, 0, 3, 0, 2, 3, 2, 1, 2, 4, 4, 4, 2, 0, 4, 4, 2, 1, 3, 2, 0, 2, 0, 0, 1, 0, 3, 3, 0, 0, 0, 1, 2, 3, 1, 2, 1, 3, 4, 3, 4, 4, 1, 3, 0, 3, 0, 4, 2, 4, 2, 4, 2, 4, 0, 2, 2, 3, 1, 3, 2, 1, 2, 0, 0, 1, 0, 0, 1, 4, 2, 2, 0, 0, 1, 0, 3, 0, 3, 3, 3, 2, 2, 4, 4, 0, 2, 3, 2, 1, 4, 4, 0, 4, 1, 3, 1, 3, 2, 4, 2, 1, 0, 0, 2, 1, 0, 3, 4, 1, 0, 3, 1, 3, 2, 1, 3, 0, 3, 4, 4, 3, 0, 0, 4, 4, 4, 2, 4, 2, 4, 3, 4, 3, 3, 3, 4, 4, 0, 3, 3, 1, 0, 4, 4, 1, 4, 0, 0, 3, 3, 2, 3, 0, 4, 4, 2, 0, 2, 4, 4, 0, 2, 1, 3, 1, 1, 2, 4, 1, 0, 1, 4, 4, 1, 2, 4, 4, 4, 4, 0, 1, 1, 0, 3, 0, 1, 1, 1, 3, 0, 1, 3, 0, 0, 1, 2, 3, 3, 4, 3, 1, 1, 3, 4, 3, 0, 2, 4, 1, 0, 0, 3, 3, 4, 2, 1, 0, 4, 2, 0, 2, 2, 2, 2, 2, 0, 2, 4, 4, 2, 2, 3, 0, 1, 0, 2, 2, 0, 3, 2, 4, 3, 3, 4, 2, 4, 3, 3, 4, 1, 0, 4, 0, 2, 4, 2, 2, 1, 0, 1, 4, 3, 3, 0, 2, 2, 4, 4, 1, 4, 1, 3, 2, 2, 2, 2, 1, 1, 3, 2, 3, 2, 3, 4, 1, 2, 0, 1, 0, 0, 4, 4, 2, 3, 0, 1, 4, 3, 3, 0, 4, 3, 2, 1, 1, 4, 1, 0, 4, 4, 3, 3, 3, 0, 3, 1, 0, 0, 0, 0, 4, 1]
pubkeycol1393 = [1, 3, 0, 2, 0, 1, 1, 2, 2, 4, 1, 2, 0, 1, 3, 2, 0, 1, 3, 1, 2, 4, 0, 4, 0, 3, 2, 1, 4, 0, 1, 1, 1, 4, 1, 3, 4, 1, 2, 1, 3, 1, 0, 3, 3, 1, 1, 2, 0, 4, 3, 2, 3, 1, 1, 4, 2, 0, 3, 3, 1, 0, 2, 0, 1, 1, 4, 0, 2, 1, 2, 4, 0, 4, 3, 0, 1, 3, 2, 4, 1, 2, 2, 2, 3, 2, 2, 0, 4, 3, 1, 2, 2, 2, 3, 1, 1, 1, 3, 1, 3, 1, 1, 0, 3, 1, 0, 0, 0, 0, 0, 4, 3, 3, 1, 2, 1, 4, 3, 2, 1, 2, 0, 2, 3, 3, 0, 4, 3, 2, 4, 1, 4, 4, 2, 2, 2, 3, 0, 2, 3, 1, 0, 0, 4, 2, 1, 4, 1, 1, 3, 3, 4, 0, 2, 2, 1, 3, 4, 2, 1, 0, 2, 0, 3, 4, 1, 3, 4, 2, 2, 1, 1, 1, 4, 0, 0, 1, 3, 1, 1, 2, 0, 3, 2, 2, 2, 3, 0, 0, 1, 4, 2, 2, 1, 0, 2, 3, 4, 3, 1, 0, 1, 1, 4, 1, 4, 3, 0, 1, 3, 0, 0, 0, 0, 4, 2, 0, 0, 0, 4, 4, 0, 1, 4, 4, 0, 4, 4, 1, 4, 3, 3, 4, 0, 2, 1, 2, 3, 3, 0, 0, 3, 3, 2, 0, 3, 0, 1, 2, 2, 1, 2, 4, 1, 0, 0, 4, 4, 3, 2, 4, 3, 2, 0, 1, 2, 1, 4, 3, 2, 4, 4, 3, 3, 0, 4, 1, 1, 1, 0, 2, 2, 4, 1, 0, 2, 4, 3, 3, 4, 4, 1, 2, 3, 1, 0, 2, 1, 1, 4, 4, 2, 3, 0, 4, 0, 2, 4, 2, 1, 1, 0, 3, 0, 4, 2, 3, 3, 0, 3, 2, 2, 3, 2, 4, 1, 0, 1, 4, 0, 2, 4, 1, 3, 0, 4, 1, 3, 0, 0, 1, 4, 3, 4, 0, 2, 0, 0, 3, 2, 0, 4, 0, 0, 2, 4, 0, 0, 1, 1, 3, 3, 1, 3, 4, 1, 0, 2, 0, 2, 3, 0, 1, 3, 2, 2, 1, 2, 3, 1, 0, 0, 3, 2, 4, 2, 3, 0, 2, 1, 3, 3, 0, 2, 4, 4, 2, 3, 4, 3, 3, 3, 2, 4, 0, 0, 2, 4, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 3, 0, 0, 4, 0, 1, 3, 0, 2, 0, 1, 4, 3, 4, 2, 3, 2, 3, 2, 3, 3, 4, 0, 1, 1, 3, 2, 3, 1, 3, 2, 3, 1, 3, 3, 0, 4, 3, 3, 1, 0, 3, 2, 3, 0, 0, 1, 0, 4, 1, 4, 3, 0, 0, 3, 4, 3, 2, 1, 4, 3, 0, 3, 0, 2, 3, 3, 2, 4, 3, 0, 1, 4, 2, 3, 4, 3, 2, 4, 4, 3, 2, 1, 0]
pubkeycol1394 = [4, 4, 4, 0, 1, 0, 0, 4, 3, 1, 3, 2, 2, 0, 3, 0, 2, 1, 0, 4, 2, 2, 2, 4, 2, 0, 4, 1, 1, 3, 0, 4, 1, 1, 3, 3, 1, 1, 2, 0, 3, 0, 0, 1, 1, 0, 1, 0, 4, 3, 3, 4, 2, 0, 3, 3, 0, 3, 2, 2, 1, 2, 2, 0, 2, 4, 2, 2, 3, 2, 4, 1, 1, 1, 0, 4, 3, 2, 4, 4, 0, 0, 0, 4, 4, 0, 2, 2, 0, 0, 4, 3, 0, 2, 1, 0, 4, 4, 0, 2, 0, 1, 1, 4, 3, 3, 0, 4, 4, 3, 4, 2, 0, 0, 3, 1, 2, 4, 2, 4, 1, 2, 0, 1, 3, 4, 3, 3, 3, 2, 2, 0, 0, 4, 4, 2, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 2, 2, 0, 1, 3, 0, 4, 2, 1, 2, 4, 4, 3, 2, 2, 1, 0, 2, 3, 3, 3, 2, 2, 4, 4, 2, 2, 2, 2, 2, 3, 2, 4, 2, 2, 3, 3, 0, 1, 2, 2, 0, 4, 0, 3, 2, 3, 3, 0, 0, 0, 3, 0, 2, 4, 2, 0, 4, 0, 4, 1, 4, 2, 1, 3, 0, 2, 4, 2, 1, 3, 0, 0, 0, 0, 0, 3, 4, 4, 3, 4, 4, 4, 0, 3, 0, 3, 0, 4, 3, 3, 2, 4, 1, 2, 0, 1, 1, 1, 4, 4, 3, 1, 0, 0, 0, 4, 2, 2, 1, 3, 2, 3, 2, 4, 0, 0, 2, 0, 1, 0, 4, 3, 3, 4, 0, 0, 0, 2, 4, 2, 4, 3, 3, 4, 1, 3, 1, 2, 3, 1, 2, 0, 2, 0, 3, 3, 4, 4, 4, 2, 0, 3, 3, 2, 4, 3, 2, 3, 1, 2, 1, 3, 2, 0, 0, 1, 3, 2, 3, 2, 0, 1, 3, 3, 1, 4, 1, 0, 0, 4, 1, 4, 3, 3, 0, 4, 2, 3, 0, 4, 0, 3, 0, 0, 4, 4, 3, 2, 3, 4, 4, 3, 2, 0, 3, 2, 4, 2, 2, 3, 4, 3, 1, 1, 2, 2, 1, 2, 3, 3, 0, 0, 3, 2, 0, 1, 3, 1, 1, 1, 2, 3, 1, 3, 3, 3, 3, 2, 4, 4, 1, 3, 4, 4, 2, 0, 3, 4, 2, 2, 1, 2, 3, 3, 3, 1, 4, 3, 2, 3, 4, 2, 1, 3, 1, 1, 1, 1, 3, 2, 3, 1, 0, 0, 3, 3, 2, 3, 2, 1, 4, 2, 4, 0, 0, 3, 4, 1, 1, 4, 3, 1, 4, 1, 2, 3, 1, 3, 0, 3, 1, 1, 1, 1, 2, 3, 1, 1, 2, 0, 2, 3, 0, 4, 4, 1, 2, 2, 2, 3, 0, 0, 2, 3, 4, 3, 3, 0, 1, 1, 0, 1, 0, 2, 4, 1, 1, 3, 0, 2, 4, 3, 4, 2, 1, 3, 3, 4, 4, 2, 2, 3, 0, 2, 3, 3]
pubkeycol1395 = [4, 1, 4, 3, 0, 1, 0, 3, 2, 0, 3, 0, 3, 1, 0, 1, 0, 4, 1, 0, 0, 2, 2, 2, 3, 2, 4, 0, 0, 1, 1, 1, 1, 4, 3, 2, 3, 1, 0, 1, 4, 0, 3, 0, 0, 1, 4, 1, 3, 1, 4, 1, 0, 0, 0, 0, 0, 2, 3, 1, 3, 1, 1, 3, 1, 0, 1, 1, 4, 3, 0, 0, 2, 2, 1, 0, 0, 2, 4, 2, 3, 3, 2, 2, 4, 2, 1, 4, 0, 2, 1, 1, 4, 0, 3, 4, 2, 1, 4, 2, 4, 2, 2, 3, 3, 0, 0, 3, 0, 4, 0, 2, 4, 3, 3, 3, 2, 2, 2, 1, 4, 1, 0, 3, 1, 3, 2, 1, 3, 2, 3, 4, 1, 2, 4, 1, 2, 0, 4, 0, 3, 2, 3, 2, 0, 3, 1, 2, 0, 4, 4, 0, 2, 1, 4, 3, 1, 0, 2, 1, 0, 3, 2, 1, 0, 0, 4, 1, 3, 3, 0, 0, 1, 1, 3, 2, 2, 1, 0, 4, 2, 1, 2, 0, 0, 0, 2, 0, 3, 3, 1, 2, 1, 3, 0, 2, 3, 2, 0, 4, 1, 0, 2, 2, 3, 3, 0, 3, 0, 3, 1, 0, 2, 1, 4, 4, 1, 2, 1, 2, 1, 2, 3, 4, 1, 0, 4, 0, 1, 4, 3, 4, 1, 0, 2, 2, 0, 0, 1, 2, 2, 4, 0, 0, 2, 3, 2, 0, 3, 0, 0, 2, 4, 1, 2, 4, 2, 4, 0, 0, 1, 0, 2, 4, 2, 4, 3, 1, 1, 4, 3, 1, 2, 0, 1, 1, 4, 4, 0, 1, 0, 1, 2, 2, 3, 2, 4, 3, 4, 4, 2, 2, 0, 1, 3, 0, 0, 2, 2, 3, 0, 0, 4, 2, 2, 3, 4, 2, 0, 4, 4, 0, 0, 4, 1, 2, 3, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 3, 4, 4, 1, 1, 2, 3, 1, 2, 2, 3, 2, 4, 4, 4, 1, 3, 2, 0, 3, 3, 0, 0, 1, 4, 1, 0, 0, 3, 0, 2, 4, 2, 3, 3, 2, 1, 1, 2, 4, 2, 1, 0, 3, 0, 2, 0, 0, 2, 3, 4, 2, 2, 4, 0, 4, 3, 4, 0, 4, 2, 4, 0, 4, 4, 2, 4, 0, 2, 0, 0, 3, 3, 4, 3, 3, 4, 2, 1, 4, 3, 3, 4, 1, 2, 4, 2, 2, 1, 1, 1, 0, 1, 3, 3, 0, 4, 4, 4, 1, 1, 2, 3, 0, 0, 2, 3, 2, 0, 0, 3, 4, 4, 4, 1, 2, 1, 1, 0, 4, 1, 1, 2, 3, 3, 2, 2, 0, 2, 1, 4, 4, 3, 1, 1, 3, 3, 1, 0, 2, 3, 1, 4, 2, 2, 3, 4, 2, 3, 2, 2, 2, 3, 3, 0, 0, 4, 2, 4, 3, 0, 4, 0, 0, 3, 2, 2, 3, 3, 3, 2, 4, 0, 2, 3, 4, 3]
pubkeycol1396 = [3, 4, 2, 0, 3, 4, 3, 3, 1, 3, 3, 3, 4, 0, 1, 1, 3, 4, 2, 0, 1, 4, 2, 0, 3, 1, 1, 4, 4, 3, 4, 4, 3, 1, 1, 2, 2, 3, 0, 1, 4, 4, 4, 4, 0, 1, 3, 4, 1, 2, 0, 0, 1, 0, 4, 0, 1, 4, 1, 2, 2, 4, 1, 0, 0, 4, 2, 1, 2, 4, 0, 3, 2, 1, 2, 1, 3, 4, 0, 2, 0, 4, 4, 0, 3, 3, 1, 2, 3, 2, 2, 3, 4, 2, 0, 3, 0, 1, 3, 1, 2, 1, 0, 4, 3, 3, 2, 0, 3, 1, 1, 1, 3, 1, 0, 4, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 1, 0, 4, 4, 4, 2, 3, 0, 3, 4, 2, 3, 2, 4, 0, 3, 2, 2, 2, 0, 2, 0, 1, 4, 0, 3, 4, 1, 1, 2, 3, 3, 2, 2, 3, 1, 2, 3, 0, 1, 1, 1, 1, 3, 0, 1, 2, 4, 2, 1, 0, 4, 2, 1, 3, 0, 4, 2, 4, 4, 4, 2, 0, 1, 2, 2, 2, 0, 0, 4, 0, 2, 4, 3, 2, 2, 0, 3, 3, 3, 3, 3, 0, 0, 2, 1, 1, 3, 3, 1, 0, 2, 2, 2, 2, 2, 1, 4, 3, 1, 3, 0, 4, 2, 4, 4, 1, 3, 1, 4, 4, 2, 2, 2, 3, 2, 3, 0, 0, 0, 2, 3, 1, 4, 4, 4, 4, 1, 4, 1, 4, 4, 2, 0, 4, 1, 0, 3, 4, 2, 1, 2, 0, 4, 0, 1, 2, 4, 4, 4, 0, 0, 0, 3, 0, 1, 1, 4, 1, 0, 1, 1, 4, 3, 2, 0, 0, 4, 1, 2, 2, 1, 0, 2, 4, 1, 1, 0, 3, 0, 2, 3, 4, 4, 2, 0, 2, 2, 0, 0, 4, 4, 3, 2, 3, 4, 2, 1, 1, 4, 1, 0, 0, 2, 4, 0, 3, 2, 2, 2, 1, 4, 0, 1, 4, 0, 2, 2, 2, 1, 3, 2, 4, 2, 3, 1, 0, 3, 4, 3, 0, 2, 2, 0, 1, 0, 2, 4, 2, 0, 3, 4, 4, 1, 4, 2, 2, 4, 2, 1, 2, 2, 2, 2, 2, 4, 1, 3, 2, 1, 3, 3, 1, 0, 3, 2, 2, 3, 2, 4, 4, 4, 3, 3, 4, 4, 2, 4, 4, 0, 1, 4, 0, 0, 4, 4, 4, 3, 1, 1, 1, 0, 4, 0, 0, 1, 3, 0, 3, 2, 2, 0, 3, 2, 3, 1, 2, 4, 1, 3, 1, 3, 0, 0, 3, 3, 1, 1, 4, 3, 3, 0, 1, 4, 4, 0, 4, 3, 4, 1, 1, 3, 1, 3, 3, 2, 2, 3, 0, 2, 3, 1, 2, 2, 2, 4, 0, 4, 4, 3, 1, 4, 3, 3, 2, 0, 0, 4, 1, 3, 1, 4, 1, 3, 4, 2, 0, 0, 0, 3, 2, 0, 4, 0, 2, 4, 2, 4, 4]
pubkeycol1397 = [4, 2, 3, 4, 1, 2, 0, 3, 4, 2, 0, 0, 4, 3, 1, 0, 1, 1, 2, 3, 3, 0, 4, 0, 0, 0, 3, 2, 0, 4, 2, 4, 3, 2, 4, 3, 4, 2, 3, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 4, 0, 3, 1, 4, 4, 4, 4, 4, 0, 2, 2, 4, 0, 0, 1, 1, 4, 4, 3, 0, 2, 1, 3, 0, 4, 2, 0, 0, 2, 3, 2, 0, 1, 3, 1, 0, 4, 4, 1, 0, 2, 4, 0, 2, 4, 0, 0, 1, 2, 1, 2, 2, 3, 1, 0, 2, 0, 4, 0, 1, 0, 0, 0, 0, 4, 2, 4, 4, 0, 2, 1, 1, 1, 3, 2, 2, 0, 4, 0, 4, 0, 3, 4, 4, 3, 2, 1, 4, 3, 2, 0, 2, 2, 4, 2, 1, 0, 1, 0, 2, 3, 0, 1, 0, 4, 0, 3, 4, 4, 3, 1, 0, 3, 3, 2, 2, 4, 3, 3, 1, 4, 2, 1, 0, 1, 4, 1, 1, 4, 0, 2, 1, 0, 2, 1, 4, 3, 0, 3, 2, 3, 2, 4, 3, 2, 2, 2, 2, 2, 4, 0, 1, 1, 4, 3, 1, 3, 1, 0, 3, 2, 2, 0, 3, 4, 2, 0, 0, 1, 3, 0, 3, 1, 4, 4, 1, 1, 1, 1, 4, 3, 0, 1, 1, 0, 3, 3, 2, 4, 3, 1, 3, 3, 2, 0, 1, 2, 3, 2, 1, 3, 0, 1, 3, 2, 0, 2, 3, 2, 3, 0, 1, 0, 3, 2, 0, 2, 2, 3, 1, 0, 1, 2, 1, 2, 3, 1, 0, 0, 0, 1, 3, 2, 2, 4, 4, 4, 1, 1, 0, 3, 1, 1, 1, 0, 4, 4, 4, 0, 4, 1, 0, 4, 1, 3, 2, 2, 0, 1, 1, 3, 1, 1, 0, 1, 4, 2, 2, 0, 3, 2, 4, 3, 2, 4, 1, 3, 3, 2, 4, 0, 0, 2, 2, 1, 1, 4, 4, 3, 1, 1, 2, 0, 3, 0, 0, 4, 1, 0, 1, 0, 3, 4, 1, 1, 3, 4, 3, 0, 1, 2, 2, 4, 4, 1, 0, 4, 1, 4, 2, 1, 1, 1, 3, 4, 1, 0, 3, 1, 3, 4, 0, 0, 1, 3, 2, 4, 3, 3, 4, 0, 0, 4, 4, 2, 0, 4, 4, 0, 3, 1, 0, 0, 4, 2, 1, 4, 4, 1, 3, 2, 3, 1, 3, 0, 2, 0, 4, 3, 1, 3, 1, 4, 4, 1, 3, 4, 2, 3, 1, 3, 0, 3, 2, 0, 4, 3, 3, 1, 0, 4, 1, 2, 1, 3, 1, 4, 1, 0, 0, 2, 1, 2, 0, 2, 4, 2, 4, 3, 4, 0, 0, 3, 2, 1, 1, 3, 0, 4, 0, 2, 0, 2, 3, 4, 3, 4, 4, 0, 2, 3, 3, 4, 0, 3, 1, 2, 1, 2, 4, 2, 2, 4, 2, 4, 4, 1]
pubkeycol1398 = [0, 0, 2, 3, 1, 4, 4, 2, 1, 4, 2, 2, 0, 1, 0, 1, 3, 1, 3, 1, 2, 1, 4, 2, 0, 2, 4, 4, 3, 2, 4, 1, 4, 3, 1, 1, 3, 0, 0, 1, 1, 4, 2, 2, 1, 1, 1, 3, 2, 3, 0, 4, 1, 2, 2, 2, 4, 2, 0, 3, 0, 3, 2, 2, 0, 2, 3, 4, 0, 1, 2, 1, 2, 4, 0, 1, 4, 3, 3, 3, 2, 0, 3, 2, 4, 2, 2, 2, 3, 0, 1, 3, 3, 2, 1, 0, 0, 1, 0, 1, 4, 4, 3, 0, 2, 4, 4, 0, 2, 3, 1, 3, 4, 1, 0, 0, 0, 4, 0, 4, 1, 2, 0, 2, 4, 2, 4, 3, 3, 4, 0, 0, 4, 1, 0, 4, 4, 1, 3, 0, 2, 3, 2, 1, 0, 2, 4, 1, 1, 2, 1, 3, 0, 0, 0, 3, 0, 4, 4, 3, 4, 3, 1, 2, 4, 3, 3, 0, 2, 2, 0, 0, 1, 0, 4, 0, 3, 1, 1, 0, 0, 4, 0, 3, 4, 0, 3, 4, 2, 4, 1, 0, 1, 2, 0, 4, 0, 0, 4, 4, 4, 1, 4, 3, 2, 3, 1, 2, 4, 1, 4, 4, 3, 0, 2, 0, 0, 3, 3, 0, 0, 3, 2, 4, 1, 2, 0, 0, 2, 1, 3, 4, 0, 4, 2, 1, 0, 2, 2, 0, 2, 3, 0, 1, 2, 2, 2, 4, 1, 4, 1, 0, 0, 2, 3, 3, 4, 4, 2, 1, 3, 0, 4, 1, 1, 3, 4, 0, 3, 3, 1, 3, 3, 3, 0, 3, 1, 3, 3, 1, 1, 4, 0, 4, 2, 3, 2, 3, 3, 2, 4, 3, 0, 0, 3, 1, 1, 0, 2, 2, 4, 4, 4, 1, 1, 2, 0, 1, 0, 0, 0, 2, 4, 3, 0, 3, 4, 4, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 1, 3, 0, 2, 0, 2, 2, 1, 0, 1, 2, 3, 0, 4, 3, 3, 4, 0, 4, 1, 3, 2, 3, 2, 4, 3, 2, 3, 1, 1, 2, 0, 1, 3, 4, 3, 2, 2, 0, 3, 3, 4, 0, 0, 0, 1, 4, 0, 2, 1, 2, 2, 0, 0, 0, 1, 4, 3, 1, 4, 1, 0, 3, 2, 2, 3, 0, 2, 3, 2, 2, 4, 0, 1, 3, 1, 2, 1, 0, 4, 3, 3, 2, 1, 4, 4, 1, 4, 4, 3, 4, 3, 4, 0, 2, 3, 4, 3, 2, 2, 0, 1, 2, 0, 1, 3, 3, 2, 1, 3, 4, 2, 3, 0, 3, 3, 1, 2, 2, 4, 1, 3, 4, 4, 0, 1, 3, 1, 3, 3, 0, 1, 1, 1, 0, 3, 1, 0, 2, 2, 1, 3, 3, 0, 3, 3, 2, 1, 4, 0, 0, 2, 4, 3, 4, 3, 0, 0, 0, 3, 0, 2, 2, 3, 3, 3, 0, 3, 3, 2, 0, 4, 3, 1, 4]
pubkeycol1399 = [2, 3, 4, 0, 3, 1, 1, 3, 0, 1, 0, 4, 1, 4, 0, 2, 0, 0, 0, 3, 3, 1, 1, 2, 0, 4, 1, 1, 1, 4, 2, 3, 2, 2, 2, 2, 3, 4, 3, 0, 4, 2, 3, 3, 0, 3, 1, 2, 4, 1, 1, 2, 4, 1, 2, 0, 4, 2, 4, 3, 1, 0, 0, 0, 0, 1, 2, 3, 1, 0, 4, 4, 3, 2, 0, 4, 2, 2, 0, 1, 2, 3, 3, 3, 0, 2, 0, 2, 3, 2, 2, 4, 0, 3, 3, 1, 0, 3, 3, 1, 1, 4, 3, 4, 0, 4, 3, 0, 3, 2, 4, 1, 2, 4, 3, 1, 1, 4, 1, 4, 0, 3, 0, 1, 0, 3, 1, 3, 0, 0, 3, 3, 4, 1, 0, 4, 3, 3, 0, 0, 1, 4, 4, 1, 0, 0, 4, 3, 3, 0, 1, 0, 1, 2, 3, 0, 3, 4, 4, 4, 4, 2, 2, 4, 3, 2, 2, 1, 0, 3, 4, 1, 4, 3, 1, 1, 2, 0, 2, 4, 3, 4, 3, 0, 1, 0, 2, 4, 2, 1, 1, 4, 4, 0, 1, 1, 4, 3, 1, 0, 2, 0, 3, 0, 2, 2, 1, 1, 2, 2, 3, 3, 1, 1, 2, 2, 3, 3, 4, 0, 0, 1, 2, 2, 0, 3, 4, 0, 2, 0, 4, 3, 1, 0, 0, 1, 2, 3, 3, 0, 4, 1, 4, 3, 1, 0, 4, 3, 2, 1, 4, 4, 4, 1, 2, 4, 1, 1, 3, 1, 3, 2, 0, 2, 2, 1, 2, 3, 0, 0, 3, 0, 0, 2, 1, 4, 3, 2, 3, 2, 3, 1, 2, 1, 1, 4, 2, 1, 4, 3, 1, 3, 4, 0, 2, 1, 0, 4, 4, 2, 0, 1, 0, 2, 2, 4, 0, 0, 1, 4, 2, 2, 2, 3, 0, 4, 0, 0, 3, 4, 1, 4, 1, 2, 3, 3, 4, 4, 4, 4, 2, 0, 0, 2, 0, 4, 2, 2, 2, 3, 1, 1, 0, 4, 1, 1, 0, 3, 4, 1, 2, 0, 0, 1, 4, 4, 2, 3, 0, 0, 0, 1, 3, 0, 4, 0, 1, 4, 1, 1, 3, 1, 0, 2, 0, 3, 3, 2, 0, 4, 4, 1, 2, 3, 4, 4, 0, 4, 3, 0, 0, 4, 4, 3, 3, 2, 0, 3, 0, 4, 1, 2, 0, 1, 2, 3, 1, 4, 1, 4, 3, 2, 2, 4, 1, 1, 4, 1, 1, 4, 4, 1, 0, 1, 3, 1, 0, 4, 3, 2, 1, 0, 4, 2, 1, 2, 0, 2, 4, 1, 2, 3, 4, 3, 0, 4, 3, 2, 2, 3, 1, 1, 3, 1, 1, 0, 4, 4, 2, 4, 3, 0, 0, 2, 0, 0, 4, 2, 4, 3, 4, 4, 2, 0, 0, 0, 2, 3, 3, 3, 4, 0, 3, 2, 0, 2, 3, 1, 1, 2, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 3, 1]
pubkeycol1400 = [1, 3, 1, 0, 4, 2, 4, 3, 1, 2, 3, 1, 2, 0, 2, 0, 0, 4, 0, 0, 1, 3, 4, 2, 3, 4, 0, 2, 1, 1, 2, 4, 4, 3, 2, 4, 0, 2, 2, 4, 1, 2, 0, 3, 3, 2, 1, 2, 2, 0, 3, 2, 2, 3, 0, 2, 1, 3, 2, 2, 3, 1, 4, 4, 1, 4, 2, 4, 4, 4, 0, 3, 0, 3, 0, 3, 2, 1, 0, 4, 1, 1, 1, 4, 3, 2, 0, 4, 3, 1, 4, 4, 4, 1, 0, 3, 4, 1, 4, 2, 4, 3, 0, 0, 4, 1, 0, 4, 4, 4, 3, 2, 2, 2, 1, 4, 0, 4, 3, 0, 2, 4, 4, 1, 1, 4, 1, 3, 3, 2, 4, 4, 4, 4, 1, 3, 1, 4, 0, 1, 1, 4, 4, 4, 4, 0, 1, 4, 2, 0, 0, 2, 3, 4, 4, 1, 0, 0, 0, 2, 2, 0, 1, 2, 3, 0, 4, 4, 2, 3, 4, 1, 0, 0, 2, 1, 0, 1, 0, 1, 4, 4, 2, 4, 2, 0, 4, 1, 4, 2, 1, 2, 1, 3, 3, 1, 1, 0, 3, 1, 2, 0, 4, 3, 3, 2, 0, 1, 2, 3, 2, 1, 4, 1, 0, 4, 4, 4, 4, 1, 0, 1, 1, 4, 0, 1, 0, 2, 2, 2, 3, 4, 3, 0, 0, 2, 2, 3, 2, 4, 2, 1, 0, 3, 2, 3, 4, 2, 2, 1, 2, 2, 3, 4, 1, 3, 3, 4, 3, 0, 4, 1, 3, 3, 2, 4, 3, 2, 4, 1, 4, 3, 0, 4, 4, 4, 1, 2, 4, 4, 0, 2, 4, 2, 2, 3, 0, 1, 4, 1, 2, 0, 1, 3, 2, 4, 2, 4, 4, 1, 1, 1, 2, 4, 2, 0, 0, 4, 2, 0, 3, 1, 2, 1, 2, 1, 1, 1, 2, 0, 3, 1, 2, 1, 2, 0, 1, 2, 2, 3, 0, 1, 3, 0, 2, 0, 4, 3, 1, 4, 3, 1, 1, 0, 0, 4, 1, 2, 0, 0, 4, 3, 2, 0, 2, 1, 3, 2, 1, 4, 3, 2, 0, 4, 4, 4, 1, 3, 1, 1, 4, 0, 4, 0, 3, 3, 1, 2, 0, 2, 4, 3, 1, 3, 1, 3, 3, 1, 1, 4, 0, 2, 3, 3, 3, 3, 3, 1, 4, 1, 4, 1, 4, 4, 4, 3, 3, 2, 0, 3, 3, 2, 1, 0, 2, 3, 2, 1, 3, 3, 4, 0, 2, 3, 0, 4, 1, 3, 1, 4, 1, 0, 4, 4, 1, 0, 1, 4, 4, 1, 2, 2, 2, 1, 1, 2, 4, 0, 4, 2, 0, 0, 0, 3, 4, 2, 3, 2, 2, 4, 0, 0, 2, 4, 1, 1, 1, 3, 4, 2, 3, 2, 3, 3, 2, 3, 4, 3, 0, 2, 3, 3, 3, 2, 1, 2, 2, 2, 2, 4, 1, 3, 2, 1, 2, 4, 4, 1, 3, 1, 4, 2, 2, 2, 0]
pubkeycol1401 = [1, 3, 3, 1, 3, 0, 2, 2, 2, 3, 2, 2, 0, 0, 4, 4, 2, 4, 4, 0, 1, 0, 3, 4, 4, 1, 4, 3, 2, 3, 4, 1, 4, 0, 1, 4, 4, 4, 2, 3, 4, 4, 2, 0, 0, 2, 0, 1, 3, 0, 2, 4, 0, 2, 2, 3, 0, 1, 0, 4, 4, 0, 4, 2, 1, 3, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 4, 2, 4, 4, 3, 3, 0, 4, 1, 4, 1, 3, 2, 1, 0, 0, 1, 3, 4, 1, 0, 3, 4, 2, 0, 1, 0, 3, 3, 4, 2, 3, 4, 4, 4, 1, 0, 2, 4, 0, 0, 4, 0, 1, 0, 4, 1, 3, 4, 3, 4, 3, 2, 0, 2, 1, 0, 3, 0, 0, 4, 1, 3, 0, 2, 2, 4, 1, 3, 2, 2, 4, 0, 3, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 4, 4, 3, 3, 1, 0, 0, 1, 4, 2, 1, 1, 0, 1, 1, 4, 0, 0, 3, 4, 4, 4, 0, 3, 4, 4, 1, 2, 2, 3, 4, 0, 3, 3, 0, 3, 3, 0, 2, 4, 2, 1, 0, 4, 3, 4, 0, 4, 0, 1, 3, 1, 0, 2, 3, 2, 3, 2, 2, 1, 4, 2, 3, 1, 2, 0, 2, 0, 0, 0, 4, 2, 1, 3, 4, 1, 4, 4, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 3, 3, 2, 2, 3, 4, 4, 1, 3, 2, 4, 4, 3, 4, 0, 1, 1, 2, 3, 4, 2, 4, 2, 3, 2, 1, 0, 2, 3, 3, 3, 1, 1, 0, 1, 4, 3, 0, 0, 2, 4, 3, 0, 2, 2, 3, 0, 4, 0, 1, 0, 0, 4, 3, 0, 2, 3, 3, 0, 2, 2, 0, 2, 4, 1, 1, 0, 4, 3, 4, 4, 1, 1, 1, 0, 4, 4, 1, 0, 1, 4, 2, 3, 3, 0, 1, 2, 0, 3, 4, 1, 2, 1, 2, 3, 4, 0, 3, 0, 4, 0, 4, 0, 4, 3, 3, 4, 0, 0, 1, 1, 0, 4, 2, 0, 0, 4, 4, 2, 0, 1, 2, 0, 3, 0, 2, 1, 2, 1, 3, 0, 0, 2, 1, 4, 0, 4, 0, 2, 3, 1, 3, 1, 1, 3, 0, 3, 0, 2, 0, 3, 2, 3, 0, 2, 0, 0, 2, 0, 3, 2, 2, 0, 4, 0, 0, 0, 1, 1, 3, 2, 2, 4, 4, 2, 1, 1, 3, 3, 2, 2, 4, 4, 4, 4, 1, 0, 4, 1, 2, 1, 4, 2, 0, 3, 4, 0, 2, 0, 4, 2, 3, 3, 3, 0, 1, 3, 4, 4, 1, 1, 0, 3, 0, 2, 2, 4, 2, 3, 1, 2, 2, 2, 3, 4, 3, 0, 0, 2, 2, 3, 2, 3, 2, 3, 1, 0, 0, 3, 3, 3, 3, 1, 2, 0, 0, 3, 0, 0, 2, 3]
pubkeycol1402 = [0, 3, 4, 3, 4, 3, 1, 4, 1, 1, 4, 3, 1, 0, 2, 2, 3, 4, 1, 2, 3, 3, 2, 1, 4, 2, 2, 1, 0, 4, 1, 4, 2, 0, 4, 2, 4, 4, 4, 2, 0, 2, 0, 3, 3, 2, 0, 2, 4, 1, 1, 3, 2, 0, 1, 3, 1, 4, 2, 2, 4, 2, 1, 3, 2, 3, 0, 4, 0, 1, 0, 4, 4, 1, 2, 1, 1, 2, 1, 0, 3, 4, 1, 0, 2, 1, 0, 4, 0, 0, 1, 0, 4, 3, 3, 2, 4, 4, 4, 2, 1, 4, 2, 4, 1, 0, 4, 2, 4, 1, 4, 0, 3, 3, 2, 2, 0, 1, 2, 1, 3, 4, 3, 1, 3, 2, 1, 4, 3, 4, 3, 1, 1, 1, 2, 2, 0, 0, 4, 1, 3, 2, 1, 3, 3, 2, 3, 0, 2, 1, 4, 4, 2, 2, 2, 0, 3, 1, 1, 1, 2, 1, 0, 2, 4, 4, 1, 4, 2, 1, 4, 2, 0, 4, 4, 3, 0, 2, 1, 1, 0, 1, 4, 1, 4, 0, 0, 0, 2, 4, 0, 3, 0, 1, 2, 2, 4, 1, 3, 4, 4, 0, 0, 2, 1, 4, 2, 4, 0, 3, 4, 4, 3, 4, 4, 2, 3, 1, 0, 3, 4, 4, 3, 4, 3, 0, 2, 4, 4, 2, 4, 2, 2, 3, 3, 4, 3, 0, 4, 4, 2, 0, 2, 2, 4, 2, 2, 2, 2, 1, 1, 4, 4, 0, 3, 2, 4, 2, 4, 1, 1, 2, 4, 0, 0, 4, 3, 3, 1, 3, 2, 0, 4, 1, 4, 4, 2, 4, 1, 4, 0, 1, 0, 0, 4, 3, 1, 2, 1, 1, 3, 3, 3, 2, 3, 4, 2, 4, 3, 4, 3, 0, 1, 0, 3, 1, 1, 3, 3, 2, 3, 0, 4, 1, 2, 2, 4, 2, 3, 4, 2, 3, 3, 4, 4, 4, 0, 4, 3, 4, 4, 3, 3, 2, 1, 0, 4, 4, 1, 0, 0, 3, 4, 0, 3, 0, 0, 4, 3, 0, 4, 1, 3, 2, 0, 3, 2, 4, 3, 3, 0, 3, 0, 3, 0, 2, 2, 1, 2, 1, 0, 2, 4, 0, 3, 4, 4, 4, 4, 0, 0, 1, 4, 2, 4, 0, 1, 0, 0, 0, 1, 4, 3, 0, 3, 1, 4, 1, 3, 0, 3, 3, 0, 2, 3, 4, 4, 2, 4, 1, 1, 1, 2, 2, 0, 4, 3, 3, 3, 1, 1, 4, 0, 3, 0, 0, 1, 0, 3, 4, 1, 4, 4, 0, 2, 4, 3, 3, 2, 0, 4, 0, 2, 3, 1, 3, 0, 1, 1, 1, 2, 1, 4, 2, 3, 2, 1, 0, 4, 0, 3, 0, 2, 0, 1, 0, 3, 1, 4, 3, 2, 1, 3, 1, 0, 0, 2, 0, 2, 0, 0, 2, 3, 3, 2, 0, 2, 0, 2, 3, 3, 3, 1, 4, 2, 0, 4, 1, 2, 3, 0, 1, 4, 2, 0]
pubkeycol1403 = [4, 4, 0, 1, 0, 4, 4, 1, 0, 4, 0, 3, 4, 2, 0, 0, 3, 1, 2, 0, 2, 0, 2, 4, 4, 4, 4, 4, 2, 4, 0, 1, 4, 3, 2, 3, 3, 3, 0, 3, 1, 0, 2, 2, 3, 1, 4, 3, 3, 4, 0, 4, 4, 3, 3, 0, 1, 4, 4, 2, 4, 0, 4, 0, 2, 0, 3, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 4, 2, 0, 3, 2, 3, 0, 1, 4, 0, 4, 2, 4, 4, 0, 2, 3, 1, 1, 3, 2, 2, 2, 3, 3, 4, 2, 4, 1, 3, 0, 4, 3, 4, 1, 3, 1, 4, 2, 4, 0, 0, 1, 0, 3, 0, 4, 3, 4, 1, 4, 3, 3, 2, 0, 3, 0, 4, 0, 4, 1, 1, 1, 4, 3, 0, 4, 4, 0, 2, 1, 3, 0, 0, 1, 2, 2, 1, 2, 4, 3, 0, 0, 1, 1, 1, 0, 0, 3, 2, 0, 3, 4, 0, 0, 1, 1, 1, 2, 0, 3, 4, 1, 1, 2, 4, 0, 4, 3, 2, 2, 0, 1, 3, 1, 0, 3, 0, 2, 4, 3, 2, 4, 4, 4, 3, 1, 2, 1, 3, 4, 1, 1, 2, 1, 1, 3, 1, 0, 4, 0, 2, 4, 3, 1, 2, 0, 3, 3, 4, 4, 2, 1, 4, 0, 1, 0, 0, 0, 0, 0, 3, 1, 2, 1, 2, 0, 2, 4, 2, 2, 3, 1, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 3, 0, 3, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 3, 4, 0, 4, 3, 4, 3, 1, 2, 2, 2, 2, 2, 2, 4, 2, 3, 0, 4, 3, 1, 2, 4, 4, 4, 4, 4, 1, 4, 4, 3, 4, 3, 4, 4, 1, 3, 4, 2, 3, 1, 0, 0, 4, 0, 2, 2, 2, 1, 2, 1, 4, 2, 3, 4, 1, 0, 0, 1, 0, 0, 3, 1, 2, 2, 4, 0, 2, 2, 0, 2, 4, 3, 0, 0, 1, 2, 2, 1, 3, 1, 0, 0, 4, 4, 4, 1, 1, 1, 0, 4, 3, 2, 2, 0, 0, 0, 2, 0, 2, 3, 0, 0, 3, 4, 1, 2, 0, 0, 1, 2, 2, 4, 2, 4, 3, 3, 1, 2, 2, 1, 4, 0, 4, 1, 0, 3, 1, 3, 4, 4, 0, 0, 1, 4, 4, 2, 0, 3, 3, 1, 2, 1, 2, 3, 4, 3, 2, 2, 2, 4, 2, 3, 2, 2, 2, 0, 2, 3, 0, 2, 0, 0, 2, 4, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 4, 2, 3, 0, 3, 2, 4, 2, 3, 2, 2, 0, 0, 0, 2, 3, 3, 4, 4, 4, 2, 0, 0, 1, 2, 0, 3, 0, 2, 0, 1, 0, 3, 2, 1, 0, 1, 1, 0, 4, 2, 0, 1, 1, 0, 4, 2, 0, 2, 2, 1, 2]
pubkeycol1404 = [0, 1, 0, 1, 1, 0, 1, 3, 0, 4, 2, 1, 1, 1, 1, 2, 4, 4, 0, 0, 1, 3, 4, 0, 2, 3, 1, 1, 4, 1, 2, 2, 2, 0, 4, 0, 1, 2, 3, 4, 0, 3, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 4, 1, 0, 2, 0, 4, 4, 1, 4, 0, 0, 1, 4, 1, 3, 2, 4, 3, 0, 0, 2, 1, 3, 2, 0, 3, 1, 1, 0, 0, 0, 4, 4, 0, 4, 2, 0, 3, 4, 2, 0, 0, 2, 3, 3, 0, 2, 1, 0, 1, 2, 4, 0, 2, 1, 4, 0, 3, 0, 3, 2, 3, 1, 4, 3, 0, 1, 2, 4, 4, 2, 1, 4, 2, 2, 2, 2, 4, 2, 0, 2, 1, 1, 0, 0, 2, 4, 4, 0, 4, 3, 4, 2, 0, 3, 3, 4, 1, 2, 0, 1, 2, 4, 0, 1, 0, 0, 0, 2, 4, 1, 0, 4, 1, 0, 0, 2, 3, 3, 3, 2, 0, 4, 3, 2, 3, 0, 0, 3, 3, 3, 1, 4, 1, 4, 1, 4, 4, 4, 3, 2, 3, 0, 1, 4, 4, 2, 1, 4, 1, 2, 1, 1, 3, 4, 1, 2, 4, 4, 3, 3, 4, 1, 3, 1, 0, 4, 0, 0, 0, 1, 2, 0, 4, 2, 1, 4, 0, 0, 3, 3, 0, 2, 2, 3, 4, 4, 4, 4, 1, 0, 4, 2, 3, 4, 2, 2, 2, 4, 3, 3, 0, 4, 2, 1, 2, 4, 0, 4, 4, 0, 1, 0, 3, 4, 3, 3, 0, 2, 3, 0, 1, 0, 3, 2, 1, 3, 3, 1, 1, 3, 0, 1, 3, 4, 2, 2, 0, 2, 2, 1, 3, 2, 2, 2, 2, 4, 1, 2, 4, 0, 4, 3, 1, 4, 1, 3, 4, 1, 1, 2, 4, 1, 3, 4, 4, 4, 2, 0, 1, 1, 0, 1, 3, 1, 2, 2, 3, 2, 0, 1, 2, 2, 0, 0, 4, 1, 3, 4, 1, 0, 0, 3, 1, 2, 0, 2, 3, 1, 4, 0, 3, 4, 0, 2, 2, 4, 4, 3, 2, 1, 4, 1, 2, 3, 3, 3, 1, 3, 3, 4, 3, 4, 1, 4, 0, 2, 3, 4, 2, 3, 0, 1, 1, 0, 3, 3, 0, 0, 0, 4, 0, 1, 2, 2, 1, 1, 4, 4, 3, 4, 1, 0, 4, 3, 2, 0, 4, 3, 0, 1, 4, 0, 4, 4, 3, 2, 2, 2, 4, 0, 3, 2, 4, 4, 1, 1, 1, 2, 0, 2, 4, 0, 2, 0, 4, 4, 3, 1, 3, 2, 2, 3, 1, 0, 2, 1, 2, 4, 4, 2, 0, 2, 4, 1, 1, 3, 4, 3, 4, 3, 4, 0, 3, 2, 4, 4, 2, 1, 4, 0, 3, 2, 4, 1, 4, 1, 4, 0, 3, 0, 4, 4, 1, 1, 0, 1, 4, 0, 1, 1, 0, 0, 2, 4, 4, 0, 4, 4, 4, 0, 4, 2]
pubkeycol1405 = [2, 4, 0, 4, 4, 1, 2, 0, 4, 4, 4, 1, 0, 3, 0, 2, 3, 2, 1, 4, 3, 2, 4, 3, 0, 2, 2, 2, 3, 0, 4, 2, 1, 2, 2, 0, 0, 0, 3, 3, 1, 1, 2, 0, 3, 4, 2, 0, 3, 2, 4, 3, 4, 0, 4, 4, 2, 3, 0, 4, 1, 0, 3, 1, 0, 3, 2, 0, 3, 4, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 3, 0, 1, 4, 2, 3, 1, 3, 1, 4, 1, 3, 1, 2, 3, 1, 4, 2, 0, 4, 1, 0, 3, 3, 1, 1, 2, 0, 1, 1, 4, 3, 0, 3, 1, 3, 3, 3, 4, 4, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 3, 0, 2, 2, 1, 3, 2, 2, 3, 2, 4, 2, 2, 3, 2, 2, 3, 1, 1, 4, 0, 3, 3, 1, 1, 3, 4, 0, 4, 4, 4, 3, 3, 4, 2, 1, 4, 1, 2, 3, 4, 0, 3, 0, 4, 1, 4, 3, 4, 0, 0, 2, 3, 3, 0, 0, 2, 2, 2, 2, 0, 4, 1, 0, 1, 0, 4, 2, 1, 3, 1, 4, 3, 0, 0, 4, 2, 2, 2, 0, 0, 4, 2, 2, 3, 2, 1, 2, 4, 0, 3, 4, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 4, 2, 1, 3, 2, 1, 1, 0, 2, 3, 1, 3, 1, 1, 1, 0, 1, 0, 4, 3, 0, 0, 3, 4, 4, 1, 3, 4, 4, 1, 0, 4, 4, 2, 3, 3, 3, 1, 3, 0, 0, 2, 3, 4, 1, 3, 4, 4, 3, 1, 0, 2, 0, 4, 1, 3, 3, 3, 2, 0, 2, 2, 0, 4, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 4, 0, 2, 2, 1, 3, 4, 4, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 3, 2, 3, 4, 0, 4, 4, 3, 3, 3, 2, 1, 3, 4, 4, 2, 0, 1, 4, 3, 2, 3, 3, 3, 4, 0, 2, 4, 1, 2, 1, 1, 3, 0, 1, 1, 4, 2, 3, 1, 4, 1, 3, 0, 0, 2, 3, 2, 0, 2, 3, 3, 0, 3, 3, 0, 1, 0, 4, 2, 0, 3, 0, 3, 1, 0, 1, 4, 4, 3, 0, 0, 1, 3, 2, 4, 2, 1, 2, 4, 4, 1, 2, 3, 2, 4, 3, 4, 2, 3, 0, 3, 1, 4, 4, 1, 3, 1, 1, 3, 4, 3, 1, 2, 3, 3, 4, 0, 0, 2, 3, 3, 1, 3, 3, 2, 2, 1, 3, 3, 2, 2, 0, 1, 3, 4, 1, 4, 1, 3, 1, 1, 4, 3, 4, 1, 1, 4, 3, 4, 3, 2, 1, 2, 3, 1, 2, 0, 0, 1, 2, 1, 1, 3, 0, 3, 0, 2, 4, 3, 2, 3, 0, 0, 4, 2, 3, 0, 3, 2, 1, 2, 4, 1, 3, 1]
pubkeycol1406 = [2, 3, 2, 0, 0, 2, 0, 3, 3, 0, 3, 0, 3, 2, 2, 3, 3, 3, 3, 3, 1, 3, 0, 4, 0, 2, 3, 3, 3, 3, 3, 3, 1, 0, 3, 0, 0, 3, 1, 4, 2, 4, 0, 1, 3, 4, 4, 4, 1, 0, 0, 4, 3, 0, 2, 3, 0, 0, 2, 1, 1, 4, 1, 2, 3, 0, 3, 4, 3, 3, 2, 4, 3, 2, 0, 0, 2, 0, 2, 0, 1, 4, 0, 3, 3, 2, 4, 1, 4, 4, 4, 2, 0, 4, 3, 2, 1, 2, 1, 3, 0, 1, 4, 0, 2, 4, 0, 3, 2, 0, 3, 3, 4, 2, 1, 3, 0, 3, 4, 3, 3, 4, 2, 0, 4, 0, 2, 4, 1, 2, 0, 2, 2, 0, 2, 3, 0, 2, 1, 2, 2, 3, 3, 1, 0, 2, 4, 1, 1, 1, 4, 2, 3, 3, 1, 1, 0, 2, 1, 1, 4, 3, 1, 0, 1, 1, 0, 0, 0, 1, 3, 3, 3, 1, 1, 3, 2, 2, 4, 4, 4, 2, 2, 0, 2, 1, 2, 3, 0, 2, 3, 3, 4, 0, 1, 4, 1, 0, 3, 3, 1, 3, 0, 4, 1, 4, 1, 3, 4, 1, 1, 4, 3, 2, 4, 0, 3, 2, 2, 0, 2, 2, 1, 2, 3, 1, 1, 1, 4, 1, 1, 3, 4, 4, 2, 4, 3, 1, 3, 2, 0, 1, 2, 2, 1, 1, 4, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 4, 3, 2, 3, 0, 3, 4, 2, 2, 0, 0, 0, 2, 4, 2, 4, 0, 4, 0, 3, 4, 1, 3, 0, 4, 3, 0, 4, 1, 3, 0, 2, 2, 4, 0, 4, 0, 1, 0, 0, 4, 3, 2, 0, 2, 4, 2, 3, 4, 4, 0, 3, 2, 4, 2, 2, 1, 4, 1, 2, 0, 0, 2, 0, 4, 2, 2, 3, 0, 3, 2, 0, 2, 4, 2, 1, 1, 1, 4, 3, 2, 3, 2, 0, 4, 0, 1, 0, 4, 4, 3, 0, 2, 1, 0, 4, 3, 2, 1, 0, 2, 3, 0, 1, 1, 0, 4, 0, 0, 3, 0, 2, 1, 2, 2, 3, 1, 4, 2, 1, 2, 0, 0, 4, 2, 3, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 4, 1, 0, 3, 3, 2, 2, 1, 1, 2, 2, 4, 0, 3, 1, 1, 4, 3, 3, 4, 4, 3, 4, 2, 2, 2, 3, 4, 2, 4, 1, 0, 0, 2, 3, 2, 0, 2, 3, 2, 2, 2, 4, 2, 3, 0, 1, 3, 1, 0, 0, 0, 2, 1, 4, 1, 1, 0, 4, 2, 4, 0, 2, 3, 2, 0, 4, 4, 4, 3, 4, 2, 3, 2, 4, 1, 0, 4, 2, 2, 4, 0, 0, 2, 1, 3, 1, 1, 2, 3, 4, 2, 1, 3, 3, 2, 0, 0, 0, 3, 2, 2, 4, 3, 1, 2, 0, 1, 1, 1, 4, 2]
pubkeycol1407 = [1, 1, 0, 4, 1, 3, 0, 1, 3, 4, 0, 4, 1, 1, 2, 0, 1, 3, 3, 1, 3, 2, 0, 0, 1, 3, 3, 3, 3, 1, 0, 3, 1, 3, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 4, 4, 4, 4, 0, 0, 1, 1, 0, 1, 2, 2, 4, 4, 3, 3, 0, 1, 0, 3, 4, 0, 0, 3, 0, 4, 4, 4, 3, 3, 0, 0, 2, 2, 2, 3, 1, 1, 0, 1, 4, 1, 2, 0, 2, 3, 4, 3, 1, 3, 1, 0, 3, 0, 4, 3, 2, 4, 3, 0, 3, 3, 2, 1, 4, 0, 0, 2, 1, 2, 3, 3, 1, 0, 2, 4, 2, 1, 2, 0, 3, 2, 4, 1, 4, 3, 1, 0, 3, 0, 4, 0, 0, 3, 1, 2, 3, 2, 1, 4, 0, 2, 1, 1, 1, 3, 4, 3, 3, 4, 2, 3, 2, 0, 4, 1, 2, 3, 3, 3, 0, 1, 4, 2, 3, 0, 4, 0, 2, 3, 0, 1, 0, 2, 4, 2, 4, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 4, 1, 3, 2, 0, 2, 1, 4, 4, 3, 0, 0, 4, 2, 1, 2, 2, 3, 4, 1, 2, 0, 3, 2, 2, 0, 0, 0, 1, 2, 4, 3, 4, 3, 4, 3, 3, 4, 0, 3, 1, 1, 2, 3, 1, 3, 1, 4, 3, 2, 2, 2, 0, 4, 4, 3, 4, 4, 1, 2, 2, 4, 3, 3, 1, 1, 1, 3, 3, 3, 0, 0, 0, 3, 4, 4, 0, 3, 1, 2, 4, 4, 3, 3, 3, 4, 3, 1, 0, 4, 3, 2, 3, 4, 4, 2, 0, 4, 2, 0, 0, 1, 2, 3, 4, 3, 0, 0, 3, 4, 2, 3, 0, 1, 3, 4, 1, 3, 0, 4, 4, 2, 3, 4, 1, 2, 4, 1, 1, 1, 1, 3, 1, 4, 2, 3, 4, 3, 1, 3, 3, 3, 0, 2, 4, 4, 1, 3, 1, 3, 4, 4, 2, 1, 1, 1, 2, 2, 1, 3, 1, 2, 1, 4, 2, 4, 0, 0, 1, 0, 0, 2, 0, 1, 2, 3, 0, 0, 4, 2, 1, 4, 0, 3, 1, 0, 4, 0, 4, 1, 1, 3, 2, 1, 4, 0, 4, 4, 1, 1, 2, 1, 2, 2, 3, 4, 2, 2, 3, 0, 1, 0, 3, 4, 3, 1, 0, 1, 1, 4, 3, 1, 4, 3, 1, 2, 3, 2, 3, 4, 2, 0, 4, 0, 1, 2, 1, 4, 1, 4, 0, 4, 4, 0, 3, 4, 3, 3, 0, 4, 4, 0, 0, 4, 3, 3, 3, 0, 1, 3, 2, 4, 1, 1, 4, 1, 0, 3, 4, 0, 0, 2, 0, 3, 3, 4, 3, 3, 3, 3, 1, 0, 2, 2, 2, 0, 2, 0, 2, 3, 4, 3, 2, 2, 3, 3, 2, 1, 1, 2, 1, 2, 1, 3, 0, 0, 0, 3, 1, 3, 4, 4, 1]
pubkeycol1408 = [2, 1, 1, 2, 1, 3, 3, 0, 2, 2, 2, 3, 0, 3, 1, 4, 0, 3, 2, 1, 0, 2, 1, 4, 3, 0, 2, 0, 2, 3, 2, 1, 2, 2, 0, 1, 3, 2, 2, 1, 0, 2, 1, 0, 1, 3, 1, 4, 0, 2, 0, 3, 2, 1, 4, 3, 2, 3, 1, 2, 4, 1, 2, 4, 4, 4, 2, 1, 2, 4, 3, 4, 0, 4, 2, 3, 4, 2, 4, 0, 2, 3, 4, 2, 2, 4, 1, 0, 0, 4, 4, 0, 3, 0, 3, 4, 1, 4, 1, 0, 3, 1, 2, 2, 3, 3, 3, 4, 0, 0, 0, 4, 0, 1, 1, 2, 3, 1, 2, 0, 3, 1, 0, 0, 2, 2, 0, 1, 4, 0, 1, 3, 3, 4, 3, 1, 3, 4, 2, 3, 2, 4, 1, 1, 0, 0, 1, 2, 1, 0, 4, 3, 1, 3, 3, 0, 3, 4, 0, 2, 2, 0, 4, 4, 2, 4, 0, 3, 3, 2, 4, 2, 2, 4, 2, 0, 4, 2, 2, 3, 0, 4, 1, 2, 2, 0, 0, 4, 3, 3, 1, 4, 2, 1, 3, 1, 0, 3, 2, 1, 1, 3, 4, 3, 3, 2, 3, 4, 0, 4, 3, 4, 3, 3, 0, 4, 0, 1, 3, 3, 2, 0, 0, 2, 2, 4, 3, 0, 2, 0, 2, 3, 4, 3, 4, 2, 3, 1, 0, 4, 0, 0, 3, 1, 1, 3, 2, 0, 4, 4, 0, 4, 2, 2, 2, 2, 3, 2, 0, 0, 3, 1, 2, 0, 1, 1, 3, 3, 4, 3, 0, 4, 2, 1, 4, 3, 3, 3, 0, 1, 4, 2, 3, 3, 4, 3, 2, 1, 3, 1, 3, 2, 0, 4, 4, 1, 1, 2, 4, 3, 3, 1, 4, 3, 2, 1, 1, 1, 3, 3, 2, 0, 3, 1, 2, 2, 0, 2, 1, 4, 0, 2, 1, 2, 3, 3, 4, 0, 0, 3, 3, 3, 4, 0, 0, 0, 0, 3, 1, 4, 0, 3, 4, 2, 0, 4, 4, 2, 1, 1, 3, 0, 0, 0, 3, 3, 3, 2, 0, 3, 0, 3, 1, 1, 0, 2, 2, 1, 4, 1, 2, 3, 1, 3, 1, 4, 3, 3, 4, 3, 3, 0, 0, 4, 2, 3, 1, 0, 4, 0, 1, 1, 3, 3, 3, 2, 2, 0, 4, 1, 3, 3, 3, 4, 1, 4, 1, 4, 3, 0, 1, 2, 2, 0, 1, 1, 2, 0, 4, 4, 1, 4, 1, 0, 2, 4, 0, 4, 2, 0, 3, 3, 4, 2, 4, 2, 1, 3, 2, 4, 0, 2, 2, 4, 3, 3, 4, 4, 0, 4, 3, 0, 4, 4, 3, 0, 4, 2, 4, 2, 2, 2, 1, 2, 1, 4, 1, 3, 4, 3, 4, 0, 2, 1, 0, 1, 1, 4, 2, 0, 1, 4, 3, 1, 3, 0, 1, 3, 1, 0, 0, 3, 0, 4, 3, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2]
pubkeycol1409 = [3, 3, 4, 1, 0, 2, 0, 0, 0, 0, 4, 4, 3, 3, 2, 3, 0, 4, 1, 4, 2, 0, 1, 1, 0, 4, 3, 0, 4, 2, 2, 2, 2, 3, 3, 4, 0, 4, 0, 3, 2, 1, 4, 1, 4, 4, 0, 3, 3, 3, 0, 0, 3, 0, 2, 0, 3, 1, 4, 2, 0, 4, 0, 2, 0, 0, 0, 0, 3, 0, 4, 0, 0, 1, 3, 0, 3, 0, 3, 4, 3, 2, 0, 0, 4, 3, 2, 2, 3, 0, 0, 2, 3, 0, 3, 3, 1, 4, 3, 2, 1, 4, 2, 4, 1, 3, 3, 2, 2, 1, 2, 4, 2, 0, 0, 4, 0, 1, 2, 4, 4, 3, 0, 1, 4, 1, 4, 0, 3, 3, 2, 1, 4, 1, 1, 4, 4, 0, 4, 0, 0, 0, 4, 1, 3, 3, 3, 3, 1, 1, 4, 0, 1, 3, 1, 1, 3, 2, 0, 3, 1, 1, 0, 2, 4, 3, 3, 2, 0, 4, 1, 2, 0, 3, 4, 4, 2, 3, 1, 3, 3, 2, 4, 1, 0, 3, 3, 1, 1, 2, 4, 0, 2, 2, 4, 4, 1, 3, 0, 1, 3, 2, 4, 4, 4, 0, 3, 1, 3, 3, 1, 2, 0, 4, 1, 2, 0, 2, 1, 0, 4, 4, 2, 4, 3, 1, 3, 0, 1, 3, 3, 2, 0, 2, 1, 3, 0, 0, 1, 0, 1, 3, 1, 0, 4, 4, 0, 0, 2, 2, 4, 0, 4, 2, 2, 3, 4, 2, 3, 1, 1, 3, 1, 4, 4, 4, 2, 4, 2, 2, 2, 1, 3, 0, 1, 2, 2, 4, 4, 2, 2, 3, 3, 3, 1, 1, 2, 3, 0, 2, 4, 3, 2, 0, 2, 3, 3, 2, 3, 2, 1, 2, 1, 4, 0, 0, 1, 3, 4, 2, 0, 2, 0, 4, 2, 3, 2, 4, 0, 4, 4, 3, 0, 0, 0, 1, 2, 1, 3, 2, 0, 4, 4, 3, 1, 0, 2, 3, 1, 2, 3, 0, 3, 4, 1, 4, 3, 4, 2, 1, 0, 4, 3, 4, 3, 3, 0, 3, 1, 0, 3, 2, 4, 4, 3, 1, 0, 0, 0, 2, 0, 0, 0, 3, 3, 3, 4, 4, 1, 3, 0, 1, 1, 2, 3, 3, 3, 3, 1, 3, 0, 2, 1, 2, 2, 1, 3, 4, 1, 4, 2, 2, 1, 1, 4, 0, 3, 3, 4, 3, 1, 1, 3, 3, 3, 1, 1, 3, 2, 3, 3, 0, 1, 2, 0, 3, 1, 1, 0, 0, 0, 4, 0, 4, 0, 0, 2, 4, 1, 3, 0, 0, 1, 2, 1, 2, 2, 0, 1, 4, 1, 0, 4, 3, 4, 3, 2, 2, 0, 4, 2, 3, 2, 3, 3, 0, 1, 4, 2, 1, 3, 3, 3, 3, 2, 0, 3, 3, 2, 2, 0, 3, 0, 2, 3, 0, 2, 0, 3, 3, 2, 4, 2, 3, 4, 0, 3, 0, 1, 3, 0, 1, 4, 3, 0]
pubkeycol1410 = [2, 4, 4, 3, 2, 2, 1, 4, 4, 4, 0, 0, 4, 2, 1, 1, 0, 4, 2, 3, 3, 3, 1, 3, 0, 1, 3, 0, 4, 1, 1, 4, 2, 0, 1, 4, 2, 4, 3, 0, 2, 2, 4, 0, 2, 4, 2, 1, 3, 4, 4, 4, 3, 0, 4, 3, 1, 4, 0, 2, 2, 3, 3, 3, 4, 3, 4, 3, 2, 3, 1, 3, 3, 2, 0, 0, 1, 4, 4, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 4, 4, 1, 1, 2, 4, 4, 2, 3, 0, 3, 0, 4, 4, 1, 2, 3, 1, 4, 1, 0, 1, 3, 2, 1, 2, 4, 1, 1, 2, 2, 2, 2, 1, 4, 2, 2, 0, 4, 3, 3, 0, 2, 3, 0, 2, 2, 1, 2, 4, 2, 0, 4, 3, 4, 4, 1, 3, 1, 1, 4, 1, 0, 2, 4, 0, 1, 4, 4, 4, 3, 1, 1, 4, 3, 1, 2, 4, 2, 0, 4, 3, 0, 1, 4, 1, 3, 4, 4, 2, 2, 0, 0, 0, 2, 4, 0, 0, 3, 4, 2, 2, 0, 4, 4, 1, 3, 4, 2, 3, 0, 2, 2, 1, 2, 1, 2, 3, 2, 1, 3, 2, 2, 0, 4, 1, 2, 4, 1, 1, 3, 4, 4, 2, 3, 1, 3, 0, 0, 1, 2, 3, 2, 0, 3, 0, 0, 4, 1, 3, 3, 3, 2, 1, 3, 4, 0, 4, 1, 2, 1, 1, 3, 2, 2, 1, 1, 3, 4, 1, 3, 4, 1, 2, 3, 3, 3, 4, 4, 1, 4, 0, 2, 3, 0, 2, 0, 2, 4, 1, 3, 4, 1, 0, 0, 4, 2, 4, 1, 2, 4, 3, 2, 0, 3, 4, 1, 2, 1, 2, 2, 4, 0, 4, 1, 2, 4, 2, 1, 4, 0, 3, 4, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 3, 4, 0, 4, 0, 3, 3, 3, 4, 0, 1, 4, 4, 0, 2, 4, 2, 4, 1, 2, 0, 4, 3, 4, 1, 1, 0, 0, 3, 3, 1, 2, 1, 1, 2, 3, 1, 4, 2, 1, 0, 1, 0, 0, 4, 1, 4, 2, 2, 3, 3, 1, 4, 3, 0, 3, 1, 0, 1, 2, 4, 3, 3, 2, 3, 3, 3, 1, 1, 3, 0, 4, 2, 3, 0, 2, 1, 1, 3, 3, 3, 0, 1, 1, 0, 4, 1, 4, 1, 0, 0, 4, 2, 1, 3, 3, 3, 1, 2, 2, 2, 4, 0, 2, 1, 0, 1, 4, 3, 1, 4, 1, 2, 4, 2, 1, 0, 0, 0, 2, 4, 3, 3, 3, 2, 4, 3, 1, 2, 3, 0, 3, 3, 1, 2, 0, 0, 4, 1, 2, 2, 0, 0, 2, 1, 4, 3, 1, 3, 1, 3, 1, 0, 0, 0, 2, 3, 3, 1, 3, 3, 0, 1, 4, 4, 0, 2, 3, 0, 3, 3, 0, 3, 3, 3, 3, 1, 4, 4, 1, 4, 4]
pubkeycol1411 = [4, 0, 1, 2, 3, 4, 1, 4, 4, 1, 4, 4, 4, 4, 3, 3, 1, 2, 2, 0, 4, 4, 0, 2, 4, 1, 1, 1, 2, 2, 2, 2, 4, 0, 2, 2, 2, 2, 0, 1, 1, 0, 3, 3, 1, 1, 2, 0, 4, 1, 3, 2, 3, 3, 4, 3, 0, 4, 3, 2, 1, 3, 0, 3, 1, 1, 3, 3, 0, 3, 2, 2, 4, 2, 4, 0, 3, 1, 1, 3, 2, 1, 4, 3, 1, 3, 2, 1, 2, 0, 2, 3, 1, 4, 4, 4, 1, 3, 4, 4, 1, 0, 0, 4, 2, 0, 4, 3, 3, 1, 2, 3, 1, 3, 3, 2, 4, 3, 0, 1, 2, 1, 2, 4, 1, 2, 1, 0, 2, 2, 2, 2, 0, 3, 4, 4, 3, 4, 4, 1, 3, 0, 3, 0, 3, 2, 2, 1, 2, 3, 2, 4, 3, 4, 1, 3, 4, 3, 2, 2, 4, 0, 1, 0, 3, 0, 4, 3, 2, 4, 0, 0, 4, 0, 2, 4, 1, 2, 2, 1, 4, 1, 1, 4, 4, 3, 3, 2, 3, 3, 4, 0, 2, 0, 4, 4, 1, 2, 3, 2, 0, 1, 2, 0, 3, 2, 2, 3, 4, 0, 2, 2, 3, 3, 4, 0, 1, 4, 1, 3, 1, 4, 4, 3, 1, 3, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 3, 2, 1, 4, 3, 3, 3, 3, 3, 0, 4, 2, 4, 3, 4, 4, 4, 4, 4, 0, 4, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 1, 0, 0, 2, 3, 4, 1, 2, 4, 4, 4, 3, 4, 3, 0, 1, 2, 0, 4, 2, 3, 0, 3, 4, 4, 3, 4, 0, 3, 3, 1, 3, 3, 2, 3, 2, 3, 4, 2, 2, 3, 0, 1, 3, 3, 3, 1, 3, 2, 1, 2, 4, 2, 2, 1, 0, 0, 4, 0, 0, 2, 1, 1, 4, 4, 4, 1, 2, 1, 4, 1, 2, 0, 1, 3, 0, 0, 2, 0, 0, 1, 2, 4, 3, 0, 4, 1, 4, 3, 0, 1, 1, 2, 3, 3, 2, 1, 1, 1, 0, 1, 4, 3, 2, 3, 0, 2, 3, 3, 4, 3, 1, 0, 3, 4, 0, 0, 0, 2, 2, 2, 3, 1, 1, 3, 4, 2, 3, 3, 2, 0, 4, 3, 0, 2, 4, 2, 0, 1, 2, 4, 0, 3, 4, 3, 3, 4, 3, 2, 1, 4, 4, 4, 2, 0, 3, 0, 0, 3, 2, 0, 1, 0, 2, 3, 1, 4, 3, 2, 2, 0, 4, 0, 4, 1, 0, 3, 1, 2, 4, 4, 1, 4, 4, 3, 4, 0, 1, 3, 0, 2, 3, 2, 0, 1, 4, 3, 2, 3, 4, 1, 3, 2, 4, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 4, 2, 4, 4, 2, 4, 4, 4, 0, 3, 4, 2, 0, 4, 4, 1, 1, 1, 3, 3, 3]
pubkeycol1412 = [1, 2, 4, 4, 0, 3, 4, 4, 0, 3, 4, 3, 2, 1, 2, 2, 0, 1, 1, 3, 2, 0, 3, 3, 0, 3, 2, 1, 1, 4, 1, 4, 4, 4, 0, 2, 0, 4, 1, 1, 0, 3, 1, 0, 1, 3, 1, 3, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 3, 3, 2, 3, 3, 0, 4, 0, 0, 2, 3, 4, 4, 3, 3, 4, 2, 0, 1, 3, 0, 0, 2, 4, 4, 2, 2, 0, 0, 0, 4, 4, 1, 0, 4, 3, 3, 0, 4, 2, 2, 0, 3, 1, 3, 2, 2, 0, 0, 3, 2, 1, 4, 0, 0, 3, 0, 1, 3, 4, 0, 2, 1, 2, 4, 4, 1, 0, 3, 0, 2, 2, 4, 2, 3, 1, 0, 1, 0, 1, 4, 3, 4, 2, 2, 2, 3, 2, 1, 4, 4, 1, 4, 4, 1, 1, 3, 2, 3, 4, 3, 0, 1, 1, 0, 3, 4, 0, 4, 3, 3, 1, 2, 2, 1, 0, 3, 2, 3, 0, 4, 4, 4, 4, 0, 1, 2, 1, 0, 3, 3, 4, 0, 1, 4, 3, 2, 4, 4, 1, 4, 4, 4, 0, 3, 4, 1, 4, 3, 1, 0, 4, 1, 2, 0, 0, 4, 2, 2, 2, 2, 3, 0, 3, 3, 4, 0, 4, 0, 1, 2, 0, 3, 1, 4, 3, 0, 3, 0, 3, 3, 2, 4, 3, 2, 3, 3, 1, 3, 1, 0, 4, 3, 4, 0, 0, 4, 4, 2, 1, 3, 3, 3, 2, 2, 0, 3, 4, 3, 2, 4, 3, 4, 2, 0, 1, 2, 4, 4, 3, 4, 4, 0, 0, 1, 1, 3, 0, 4, 1, 1, 2, 1, 0, 2, 3, 4, 0, 4, 1, 0, 0, 0, 4, 3, 0, 4, 2, 2, 2, 3, 4, 3, 1, 3, 1, 0, 1, 2, 1, 2, 1, 4, 1, 2, 1, 4, 4, 1, 4, 2, 4, 4, 1, 0, 2, 1, 0, 1, 1, 4, 0, 1, 4, 0, 2, 4, 2, 1, 4, 2, 4, 3, 4, 3, 2, 4, 4, 4, 4, 4, 4, 2, 1, 3, 1, 1, 0, 2, 4, 3, 0, 3, 0, 0, 2, 3, 1, 4, 1, 1, 0, 4, 3, 2, 3, 3, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 3, 2, 1, 2, 1, 4, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 4, 1, 3, 4, 4, 0, 0, 4, 3, 3, 0, 3, 0, 1, 3, 1, 3, 4, 0, 3, 4, 2, 1, 1, 2, 2, 3, 0, 1, 1, 3, 1, 1, 4, 1, 2, 4, 2, 4, 3, 0, 0, 1, 3, 0, 3, 3, 3, 4, 3, 4, 4, 0, 1, 3, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 3, 4, 0, 3, 1, 1, 2, 1, 1, 4, 0, 4, 4, 0, 1, 4, 3, 4, 4]
pubkeycol1413 = [1, 1, 3, 3, 0, 4, 3, 0, 4, 4, 2, 1, 3, 2, 2, 2, 3, 3, 1, 1, 4, 3, 1, 3, 4, 0, 2, 4, 3, 0, 0, 3, 2, 3, 3, 2, 3, 4, 3, 4, 1, 4, 3, 1, 3, 2, 1, 1, 0, 1, 3, 4, 4, 0, 2, 3, 2, 1, 1, 1, 3, 0, 4, 1, 0, 0, 4, 0, 3, 2, 4, 1, 0, 1, 0, 1, 4, 4, 1, 3, 1, 3, 4, 4, 0, 1, 3, 4, 3, 1, 3, 1, 1, 3, 0, 3, 3, 1, 0, 2, 3, 3, 0, 2, 4, 2, 1, 3, 3, 3, 3, 0, 4, 4, 2, 2, 1, 2, 4, 0, 2, 0, 1, 0, 2, 0, 3, 3, 4, 2, 4, 4, 3, 2, 2, 4, 4, 1, 4, 0, 2, 2, 0, 3, 3, 0, 2, 3, 3, 3, 3, 1, 2, 2, 2, 0, 1, 0, 3, 0, 2, 3, 2, 2, 3, 2, 0, 3, 2, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 2, 2, 4, 3, 3, 0, 4, 4, 4, 1, 4, 4, 3, 2, 3, 4, 1, 0, 4, 2, 3, 1, 4, 0, 3, 0, 2, 4, 4, 3, 1, 3, 2, 3, 2, 4, 0, 4, 4, 1, 0, 3, 0, 1, 4, 0, 4, 1, 0, 3, 3, 1, 2, 2, 1, 1, 3, 0, 1, 4, 3, 4, 0, 0, 4, 0, 1, 4, 1, 4, 3, 0, 4, 2, 0, 3, 3, 1, 2, 3, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 4, 4, 4, 1, 0, 4, 3, 0, 1, 4, 2, 4, 2, 3, 3, 0, 3, 0, 0, 0, 1, 2, 1, 4, 0, 2, 2, 2, 0, 3, 0, 2, 0, 4, 1, 0, 3, 4, 0, 0, 4, 4, 1, 4, 0, 0, 0, 0, 0, 4, 0, 4, 2, 2, 1, 2, 2, 0, 3, 0, 0, 1, 0, 4, 0, 2, 0, 3, 0, 4, 2, 4, 1, 4, 3, 0, 0, 1, 2, 4, 4, 3, 4, 4, 2, 4, 1, 4, 4, 4, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 4, 1, 0, 0, 3, 1, 1, 4, 1, 0, 0, 0, 0, 1, 2, 2, 2, 3, 4, 2, 3, 2, 1, 0, 2, 0, 2, 2, 1, 0, 4, 2, 0, 3, 0, 4, 0, 3, 3, 3, 1, 3, 3, 2, 3, 0, 1, 0, 4, 4, 3, 0, 0, 0, 3, 1, 3, 4, 3, 2, 2, 0, 4, 1, 4, 3, 0, 1, 3, 1, 0, 1, 4, 3, 1, 3, 2, 0, 2, 4, 4, 4, 0, 4, 1, 1, 3, 1, 4, 1, 4, 2, 0, 1, 4, 4, 4, 4, 1, 2, 4, 4, 3, 4, 0, 4, 3, 2, 3, 3, 0, 3, 1, 4, 1, 3, 0, 0, 4, 3, 2, 1, 3, 3, 1, 0, 3, 4, 1, 2, 2, 1, 2, 1, 2, 0]
pubkeycol1414 = [0, 4, 4, 2, 3, 2, 4, 0, 1, 2, 4, 4, 3, 3, 3, 3, 2, 3, 4, 0, 4, 1, 4, 1, 4, 2, 4, 3, 0, 1, 1, 2, 1, 4, 2, 4, 1, 0, 3, 0, 1, 1, 4, 3, 3, 2, 3, 2, 1, 4, 1, 4, 3, 1, 2, 2, 2, 3, 1, 3, 0, 2, 3, 0, 0, 1, 2, 0, 2, 2, 0, 4, 3, 1, 4, 2, 1, 2, 4, 3, 0, 0, 1, 1, 3, 1, 3, 3, 4, 0, 3, 2, 3, 4, 4, 0, 2, 2, 4, 0, 1, 3, 3, 3, 2, 4, 3, 3, 2, 4, 1, 3, 0, 0, 2, 2, 4, 4, 4, 1, 0, 1, 2, 3, 2, 1, 1, 4, 3, 0, 1, 0, 3, 0, 0, 3, 4, 2, 4, 1, 0, 0, 0, 1, 3, 3, 1, 2, 2, 4, 1, 4, 2, 2, 2, 0, 1, 2, 4, 0, 2, 1, 0, 1, 3, 2, 3, 0, 1, 1, 4, 3, 1, 2, 4, 3, 1, 2, 2, 3, 2, 3, 2, 4, 1, 4, 4, 2, 0, 3, 2, 0, 3, 1, 3, 2, 4, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 4, 0, 2, 0, 1, 1, 1, 0, 2, 0, 3, 4, 3, 2, 2, 3, 4, 1, 1, 4, 2, 2, 4, 3, 4, 3, 2, 3, 1, 1, 1, 3, 1, 4, 4, 1, 3, 2, 0, 2, 1, 2, 4, 1, 4, 2, 1, 2, 4, 0, 2, 4, 1, 4, 1, 1, 1, 1, 4, 0, 2, 0, 0, 4, 4, 3, 1, 2, 3, 3, 2, 0, 0, 0, 2, 2, 2, 3, 3, 2, 3, 4, 2, 1, 4, 4, 0, 0, 1, 4, 0, 2, 2, 3, 1, 1, 2, 3, 2, 3, 0, 1, 0, 3, 3, 1, 2, 0, 0, 4, 4, 0, 4, 2, 3, 3, 1, 0, 4, 4, 3, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 4, 3, 0, 1, 4, 0, 3, 2, 1, 1, 1, 0, 2, 4, 0, 4, 0, 0, 1, 2, 3, 4, 1, 1, 2, 1, 1, 0, 3, 1, 0, 2, 0, 1, 4, 3, 2, 2, 3, 0, 4, 4, 0, 0, 0, 4, 4, 1, 4, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 3, 3, 0, 3, 0, 3, 2, 0, 0, 3, 0, 4, 0, 0, 4, 3, 0, 0, 3, 3, 4, 0, 2, 4, 1, 4, 1, 2, 0, 1, 1, 3, 4, 4, 4, 3, 2, 4, 0, 1, 1, 1, 0, 4, 0, 3, 4, 1, 4, 2, 1, 4, 1, 0, 0, 4, 3, 0, 3, 1, 0, 3, 0, 0, 0, 3, 3, 2, 4, 3, 4, 2, 2, 4, 0, 3, 1, 2, 3, 3, 0, 0, 0, 2, 3, 1, 1, 0, 1, 0, 4, 0, 1, 3, 1, 2, 0, 3, 1, 1, 1, 1, 2, 1, 1, 2, 4]
pubkeycol1415 = [2, 0, 1, 4, 2, 2, 2, 1, 4, 0, 3, 1, 0, 4, 0, 4, 4, 1, 3, 2, 1, 4, 1, 0, 2, 0, 2, 3, 0, 1, 1, 3, 1, 0, 2, 2, 0, 0, 2, 2, 3, 3, 3, 1, 1, 0, 0, 3, 4, 3, 4, 0, 4, 3, 0, 3, 1, 2, 4, 3, 0, 0, 1, 3, 3, 1, 0, 3, 0, 2, 3, 2, 1, 1, 3, 0, 3, 2, 0, 3, 4, 4, 2, 2, 0, 3, 1, 0, 4, 2, 0, 1, 4, 4, 0, 0, 3, 4, 2, 0, 1, 0, 0, 2, 3, 4, 2, 1, 0, 4, 1, 1, 3, 2, 0, 4, 0, 1, 2, 2, 3, 3, 2, 2, 2, 2, 0, 1, 3, 0, 2, 1, 1, 2, 4, 0, 4, 1, 3, 1, 2, 3, 4, 1, 0, 0, 1, 3, 3, 3, 4, 2, 3, 0, 0, 2, 0, 0, 4, 0, 4, 0, 2, 3, 1, 4, 1, 2, 4, 4, 3, 4, 0, 0, 0, 2, 0, 4, 3, 1, 1, 1, 4, 3, 2, 0, 2, 0, 3, 0, 0, 4, 4, 4, 0, 4, 1, 0, 3, 3, 2, 2, 3, 2, 0, 4, 2, 1, 1, 3, 1, 2, 4, 0, 2, 3, 3, 0, 0, 1, 4, 3, 0, 3, 3, 2, 4, 1, 4, 4, 0, 1, 2, 4, 0, 2, 4, 3, 1, 4, 0, 1, 4, 2, 1, 2, 4, 3, 4, 2, 0, 4, 4, 2, 3, 1, 0, 2, 0, 3, 2, 4, 2, 3, 2, 2, 3, 4, 0, 3, 3, 1, 0, 2, 0, 0, 3, 3, 1, 0, 3, 3, 4, 0, 3, 2, 4, 3, 2, 3, 1, 1, 3, 0, 3, 0, 1, 4, 1, 1, 1, 3, 2, 0, 1, 1, 4, 4, 0, 1, 2, 4, 2, 0, 1, 4, 3, 3, 2, 0, 3, 4, 0, 1, 2, 1, 3, 4, 3, 2, 1, 3, 4, 2, 0, 3, 2, 2, 1, 1, 1, 3, 3, 0, 0, 1, 0, 3, 3, 0, 1, 1, 3, 0, 3, 4, 0, 2, 1, 4, 0, 4, 4, 0, 0, 1, 4, 2, 0, 2, 2, 1, 1, 2, 2, 4, 3, 0, 3, 1, 2, 3, 4, 0, 3, 1, 3, 3, 2, 1, 4, 0, 4, 2, 3, 1, 0, 2, 0, 0, 1, 1, 4, 2, 1, 3, 1, 1, 2, 4, 4, 2, 0, 0, 0, 4, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 3, 0, 4, 3, 3, 1, 1, 2, 0, 3, 4, 1, 0, 3, 4, 4, 4, 1, 4, 0, 3, 2, 4, 1, 2, 2, 3, 4, 1, 0, 4, 1, 2, 1, 4, 2, 1, 0, 3, 0, 0, 0, 4, 1, 2, 3, 4, 2, 2, 3, 1, 1, 0, 3, 0, 0, 3, 2, 2, 3, 4, 3, 4, 4, 3, 0, 2, 4, 1, 2, 3, 0, 2, 3, 4, 4, 0, 0, 3]
pubkeycol1416 = [1, 2, 0, 4, 1, 3, 3, 1, 0, 0, 3, 4, 0, 4, 2, 2, 2, 1, 3, 3, 0, 2, 4, 0, 3, 2, 0, 2, 3, 4, 4, 0, 4, 3, 1, 4, 0, 1, 3, 4, 1, 3, 4, 0, 4, 0, 2, 4, 0, 2, 2, 2, 0, 1, 4, 1, 1, 3, 0, 2, 3, 0, 4, 0, 1, 0, 1, 0, 0, 4, 0, 3, 3, 0, 3, 3, 4, 1, 3, 4, 3, 4, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 3, 1, 3, 2, 0, 4, 2, 3, 0, 4, 3, 0, 2, 0, 2, 3, 4, 1, 0, 4, 3, 4, 0, 2, 1, 4, 4, 1, 1, 3, 2, 3, 1, 2, 3, 2, 0, 0, 4, 3, 3, 4, 2, 2, 0, 4, 0, 1, 1, 0, 2, 1, 3, 2, 4, 3, 2, 2, 1, 4, 4, 1, 1, 1, 0, 0, 3, 1, 1, 4, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 3, 2, 0, 1, 4, 0, 3, 1, 0, 1, 3, 4, 2, 0, 4, 1, 0, 4, 2, 2, 3, 4, 4, 3, 2, 0, 2, 2, 1, 0, 3, 0, 1, 4, 0, 1, 1, 1, 4, 0, 2, 3, 4, 1, 0, 4, 2, 4, 1, 4, 3, 3, 1, 3, 3, 0, 3, 2, 1, 2, 1, 4, 3, 0, 4, 1, 3, 2, 2, 4, 3, 1, 4, 1, 3, 4, 0, 3, 1, 2, 2, 1, 1, 4, 0, 0, 2, 3, 2, 4, 0, 2, 1, 3, 2, 4, 3, 2, 0, 1, 1, 4, 3, 2, 4, 3, 2, 0, 3, 3, 2, 2, 0, 1, 1, 4, 1, 0, 3, 1, 0, 2, 1, 4, 0, 1, 4, 3, 3, 1, 0, 4, 1, 0, 2, 3, 4, 2, 2, 0, 3, 3, 2, 2, 1, 4, 2, 1, 3, 4, 2, 1, 0, 0, 4, 0, 4, 3, 1, 3, 4, 1, 4, 2, 4, 0, 2, 0, 0, 3, 3, 1, 1, 4, 3, 0, 0, 1, 4, 3, 4, 2, 0, 1, 0, 1, 3, 1, 1, 2, 1, 3, 2, 0, 0, 2, 3, 0, 2, 3, 3, 4, 0, 3, 2, 0, 1, 1, 2, 0, 1, 4, 2, 1, 3, 0, 0, 3, 3, 2, 1, 1, 0, 4, 0, 3, 2, 0, 0, 4, 3, 1, 4, 4, 3, 3, 3, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 4, 2, 0, 4, 4, 2, 0, 4, 3, 0, 2, 4, 1, 2, 1, 1, 0, 4, 1, 0, 2, 0, 1, 3, 0, 4, 0, 4, 4, 0, 3, 2, 4, 1, 4, 2, 3, 3, 2, 2, 2, 4, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 4, 0, 2, 0, 4, 4, 1, 0, 3, 1, 0, 4, 2, 1, 1, 4, 4, 2, 0, 4, 3, 3, 3, 3, 3, 3, 2, 1, 0, 0, 4, 2, 0]
pubkeycol1417 = [2, 2, 0, 3, 1, 0, 1, 3, 0, 0, 4, 3, 1, 4, 1, 2, 0, 1, 4, 1, 0, 2, 2, 4, 2, 4, 3, 4, 2, 3, 0, 1, 2, 0, 0, 3, 1, 3, 1, 2, 0, 3, 2, 1, 4, 2, 0, 3, 2, 2, 3, 4, 4, 2, 3, 2, 4, 0, 3, 0, 3, 1, 4, 2, 4, 1, 2, 4, 2, 0, 4, 2, 0, 3, 4, 0, 0, 3, 4, 3, 4, 4, 2, 2, 0, 1, 1, 1, 4, 4, 1, 4, 4, 3, 0, 0, 2, 4, 0, 1, 4, 1, 2, 2, 1, 1, 0, 1, 1, 3, 4, 0, 3, 0, 4, 0, 0, 0, 3, 2, 0, 3, 3, 0, 3, 3, 1, 4, 3, 0, 0, 3, 4, 1, 4, 4, 3, 2, 4, 0, 4, 2, 4, 4, 3, 3, 1, 0, 0, 3, 2, 0, 2, 3, 2, 0, 1, 2, 4, 4, 2, 1, 2, 2, 1, 2, 0, 4, 2, 4, 0, 4, 1, 1, 2, 0, 4, 1, 4, 0, 4, 4, 0, 0, 2, 2, 0, 2, 0, 2, 4, 4, 4, 3, 2, 4, 3, 1, 1, 1, 2, 2, 0, 0, 0, 3, 0, 4, 0, 1, 2, 2, 1, 0, 0, 3, 4, 3, 0, 2, 2, 2, 0, 1, 1, 4, 4, 4, 4, 0, 2, 4, 1, 1, 4, 0, 3, 3, 3, 1, 3, 1, 2, 3, 1, 2, 3, 2, 4, 1, 3, 2, 3, 4, 3, 1, 0, 2, 0, 0, 4, 1, 2, 4, 4, 0, 1, 4, 1, 1, 4, 3, 3, 0, 4, 4, 0, 0, 4, 0, 0, 3, 1, 2, 4, 4, 3, 1, 0, 3, 3, 3, 2, 1, 3, 4, 1, 1, 2, 3, 4, 3, 1, 1, 2, 3, 3, 1, 2, 0, 4, 3, 2, 0, 2, 1, 1, 0, 3, 1, 4, 1, 1, 3, 4, 0, 3, 1, 4, 4, 4, 0, 0, 4, 2, 1, 1, 1, 4, 4, 3, 4, 2, 4, 2, 2, 2, 1, 4, 2, 4, 2, 3, 0, 2, 0, 1, 3, 2, 1, 1, 0, 2, 2, 3, 4, 3, 0, 2, 2, 0, 1, 4, 2, 0, 2, 0, 0, 1, 4, 0, 1, 2, 2, 4, 1, 3, 3, 1, 1, 4, 4, 1, 3, 0, 4, 0, 2, 1, 0, 0, 0, 3, 0, 1, 0, 1, 0, 1, 4, 0, 4, 1, 1, 2, 4, 3, 0, 1, 1, 0, 2, 2, 3, 1, 4, 3, 4, 1, 1, 0, 1, 0, 3, 2, 3, 1, 2, 1, 4, 3, 1, 0, 1, 2, 3, 0, 4, 3, 0, 2, 2, 2, 1, 3, 4, 3, 2, 0, 2, 3, 2, 0, 1, 0, 3, 1, 0, 3, 0, 1, 1, 0, 2, 2, 1, 3, 4, 2, 0, 0, 1, 1, 0, 3, 4, 4, 2, 2, 4, 4, 1, 2, 1, 2, 0, 1, 4, 1, 4, 1, 4, 3, 0, 1]
pubkeycol1418 = [2, 0, 3, 1, 0, 2, 4, 2, 4, 0, 1, 0, 2, 2, 2, 4, 0, 2, 2, 0, 3, 2, 2, 4, 4, 3, 4, 2, 2, 1, 4, 0, 1, 2, 0, 4, 4, 1, 4, 2, 4, 4, 3, 0, 3, 1, 1, 2, 0, 4, 1, 2, 3, 2, 2, 2, 0, 0, 3, 2, 3, 3, 0, 4, 2, 2, 2, 1, 2, 0, 3, 1, 4, 0, 0, 3, 3, 1, 3, 1, 3, 2, 4, 4, 3, 0, 1, 3, 2, 2, 3, 4, 0, 2, 1, 3, 0, 1, 3, 1, 4, 3, 1, 2, 4, 4, 1, 4, 2, 3, 4, 1, 0, 0, 2, 2, 0, 1, 0, 3, 2, 0, 1, 3, 1, 3, 1, 3, 3, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 3, 3, 0, 4, 4, 0, 4, 1, 2, 4, 2, 4, 2, 1, 1, 4, 0, 0, 4, 3, 4, 4, 2, 2, 1, 0, 0, 2, 3, 0, 4, 1, 0, 1, 4, 0, 4, 1, 1, 0, 0, 0, 3, 3, 3, 4, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 3, 3, 2, 0, 2, 3, 3, 0, 3, 4, 1, 0, 2, 3, 3, 1, 1, 4, 0, 3, 2, 2, 0, 4, 2, 2, 0, 3, 2, 3, 1, 0, 1, 3, 3, 3, 1, 3, 1, 3, 2, 0, 1, 3, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 4, 0, 0, 3, 0, 3, 4, 0, 1, 3, 3, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 4, 2, 3, 1, 4, 4, 1, 4, 4, 2, 0, 0, 4, 1, 0, 0, 3, 4, 2, 0, 0, 2, 1, 4, 3, 1, 1, 1, 0, 3, 0, 2, 4, 2, 2, 0, 4, 0, 1, 4, 3, 2, 1, 0, 2, 3, 2, 1, 1, 1, 0, 3, 4, 1, 2, 3, 0, 2, 3, 4, 3, 0, 3, 0, 4, 3, 3, 4, 2, 4, 2, 1, 1, 4, 1, 1, 4, 2, 2, 1, 2, 4, 1, 3, 1, 0, 0, 3, 0, 1, 4, 0, 2, 4, 2, 3, 3, 1, 0, 1, 2, 1, 0, 1, 4, 3, 4, 2, 1, 2, 1, 4, 3, 4, 3, 1, 2, 2, 4, 0, 2, 4, 2, 0, 2, 0, 2, 3, 0, 4, 2, 2, 3, 4, 0, 1, 2, 1, 4, 3, 2, 3, 3, 2, 4, 1, 0, 3, 3, 4, 4, 0, 3, 2, 0, 3, 4, 4, 2, 0, 0, 0, 3, 1, 3, 3, 0, 1, 2, 0, 2, 4, 3, 4, 3, 4, 3, 2, 0, 4, 1, 1, 0, 4, 4, 4, 3, 1, 2, 1, 1, 1, 3, 4, 1, 0, 2, 4, 1, 1, 0, 3, 4, 3, 0, 0, 3, 1, 3, 2, 2, 3, 2, 1, 1, 3, 3, 3, 3, 4, 1, 0, 3, 2, 4, 2, 2, 0, 2, 2]
pubkeycol1419 = [1, 4, 0, 0, 3, 4, 2, 0, 2, 2, 1, 0, 3, 2, 4, 4, 0, 3, 3, 3, 1, 0, 3, 4, 3, 3, 0, 1, 3, 3, 4, 3, 1, 0, 4, 0, 3, 0, 0, 0, 2, 3, 0, 0, 0, 4, 2, 1, 1, 2, 2, 1, 1, 2, 0, 4, 3, 4, 2, 2, 1, 1, 0, 2, 4, 4, 3, 2, 4, 1, 4, 1, 2, 4, 2, 4, 0, 3, 2, 0, 1, 0, 2, 1, 4, 2, 3, 3, 4, 3, 4, 1, 1, 4, 1, 1, 3, 4, 2, 4, 0, 2, 4, 4, 4, 4, 4, 2, 0, 3, 3, 0, 3, 0, 0, 3, 2, 3, 2, 3, 2, 4, 0, 2, 4, 2, 0, 2, 4, 1, 1, 2, 3, 4, 2, 3, 2, 2, 3, 4, 0, 0, 0, 0, 2, 0, 2, 3, 4, 4, 0, 0, 2, 0, 3, 1, 0, 3, 1, 3, 4, 4, 0, 1, 2, 3, 4, 4, 0, 1, 2, 2, 3, 0, 4, 1, 2, 3, 2, 2, 2, 0, 3, 3, 0, 3, 4, 1, 1, 0, 3, 0, 3, 4, 3, 3, 2, 2, 4, 3, 1, 2, 3, 1, 4, 2, 2, 1, 0, 0, 3, 3, 3, 3, 4, 2, 4, 0, 4, 4, 4, 3, 2, 1, 1, 4, 2, 4, 3, 0, 4, 2, 4, 2, 1, 2, 2, 0, 0, 3, 2, 2, 2, 1, 4, 4, 0, 3, 0, 4, 1, 4, 1, 2, 0, 1, 0, 1, 3, 3, 0, 0, 3, 2, 0, 3, 1, 3, 1, 3, 4, 4, 1, 0, 4, 2, 2, 4, 0, 1, 2, 3, 1, 2, 1, 3, 0, 0, 0, 3, 1, 4, 2, 2, 3, 2, 3, 3, 1, 3, 4, 2, 2, 2, 4, 4, 3, 2, 1, 4, 3, 4, 3, 2, 1, 3, 1, 1, 0, 2, 1, 3, 4, 4, 0, 3, 3, 2, 4, 1, 4, 3, 3, 3, 0, 4, 3, 4, 1, 3, 2, 2, 0, 2, 2, 4, 4, 3, 2, 1, 3, 0, 4, 3, 1, 0, 4, 0, 4, 0, 1, 3, 4, 1, 0, 0, 0, 1, 3, 3, 0, 3, 4, 3, 2, 1, 1, 2, 2, 2, 0, 4, 4, 2, 2, 0, 2, 0, 2, 2, 1, 3, 4, 4, 0, 1, 2, 4, 2, 1, 1, 1, 0, 2, 4, 3, 1, 0, 0, 1, 3, 3, 3, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 3, 0, 2, 3, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 4, 2, 4, 3, 3, 0, 2, 2, 4, 1, 1, 3, 0, 0, 3, 0, 2, 2, 2, 3, 1, 0, 3, 2, 1, 0, 1, 2, 1, 0, 4, 0, 1, 4, 4, 2, 4, 3, 1, 3, 0, 1, 4, 1, 0, 4, 1, 4, 4, 0, 0, 4, 4, 4, 0, 2, 4, 1, 0, 1, 3, 1, 1, 3, 0, 3]
pubkeycol1420 = [4, 4, 0, 4, 3, 3, 0, 3, 4, 1, 0, 0, 0, 3, 3, 1, 4, 3, 0, 3, 4, 1, 1, 4, 3, 2, 0, 1, 2, 1, 3, 3, 4, 0, 3, 1, 1, 1, 2, 1, 4, 0, 1, 1, 0, 2, 4, 4, 1, 0, 1, 0, 3, 3, 2, 1, 1, 0, 1, 3, 4, 4, 2, 1, 1, 1, 0, 0, 4, 4, 4, 0, 2, 0, 0, 4, 2, 2, 3, 0, 1, 1, 4, 1, 1, 0, 3, 4, 3, 3, 3, 3, 1, 2, 1, 1, 3, 3, 2, 0, 0, 0, 4, 1, 2, 0, 2, 1, 2, 4, 1, 0, 3, 4, 3, 4, 4, 0, 2, 1, 3, 3, 4, 2, 3, 2, 2, 2, 1, 1, 1, 2, 4, 3, 0, 1, 3, 4, 0, 3, 4, 3, 3, 0, 4, 3, 1, 2, 4, 1, 0, 3, 4, 0, 0, 2, 4, 0, 3, 4, 0, 1, 0, 4, 0, 4, 1, 0, 0, 1, 2, 3, 3, 1, 2, 3, 1, 2, 3, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 4, 1, 2, 1, 3, 3, 3, 4, 3, 3, 4, 3, 0, 1, 1, 1, 4, 1, 0, 3, 2, 0, 0, 0, 1, 2, 4, 2, 4, 1, 4, 1, 2, 4, 1, 1, 2, 2, 4, 4, 3, 1, 3, 1, 1, 2, 1, 0, 3, 0, 0, 1, 3, 4, 2, 4, 3, 4, 4, 0, 3, 1, 0, 3, 2, 3, 3, 2, 3, 1, 1, 3, 2, 3, 3, 4, 0, 0, 0, 3, 0, 2, 1, 1, 2, 3, 0, 2, 0, 1, 2, 0, 1, 3, 4, 4, 4, 2, 3, 1, 0, 4, 3, 4, 0, 4, 1, 4, 4, 1, 2, 3, 0, 4, 4, 0, 1, 0, 2, 4, 2, 1, 4, 3, 4, 4, 0, 2, 4, 0, 1, 3, 4, 3, 3, 3, 0, 0, 1, 2, 2, 0, 4, 1, 3, 0, 4, 2, 2, 2, 4, 2, 0, 3, 3, 1, 4, 0, 0, 0, 0, 4, 4, 4, 0, 3, 3, 4, 4, 3, 3, 4, 0, 4, 2, 0, 0, 3, 3, 4, 2, 3, 3, 0, 4, 4, 2, 0, 0, 3, 3, 1, 2, 3, 1, 4, 4, 4, 1, 2, 4, 2, 1, 4, 1, 1, 4, 1, 4, 3, 0, 0, 1, 0, 0, 1, 0, 4, 1, 0, 4, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 3, 3, 4, 0, 4, 4, 3, 1, 0, 2, 0, 3, 3, 1, 3, 4, 4, 0, 0, 2, 2, 3, 0, 2, 0, 4, 0, 3, 2, 1, 4, 4, 3, 4, 1, 3, 3, 1, 2, 2, 3, 4, 1, 1, 3, 2, 1, 2, 2, 0, 2, 4, 0, 3, 2, 0, 4, 2, 4, 4, 1, 0, 1, 1, 2, 0, 1, 4, 0, 0, 2, 2, 2, 3, 3, 2, 0, 1, 1, 1, 3, 1, 4, 1]
pubkeycol1421 = [0, 2, 2, 1, 3, 4, 3, 2, 2, 4, 4, 0, 0, 3, 2, 4, 3, 0, 3, 3, 2, 3, 1, 2, 1, 4, 3, 4, 4, 0, 0, 0, 0, 0, 0, 2, 3, 1, 3, 2, 3, 4, 1, 0, 4, 0, 1, 1, 2, 1, 0, 3, 3, 1, 1, 4, 1, 4, 4, 4, 2, 3, 3, 4, 3, 4, 1, 4, 4, 0, 0, 4, 4, 1, 0, 1, 2, 1, 4, 4, 1, 2, 4, 1, 0, 4, 1, 4, 1, 3, 1, 2, 4, 2, 3, 0, 0, 3, 1, 3, 1, 3, 4, 0, 1, 1, 0, 2, 1, 2, 2, 4, 2, 1, 4, 1, 3, 0, 4, 2, 4, 0, 1, 0, 2, 4, 1, 2, 3, 0, 0, 0, 3, 4, 3, 0, 3, 4, 0, 4, 1, 1, 0, 3, 1, 3, 2, 1, 3, 3, 0, 1, 0, 4, 4, 1, 0, 2, 2, 2, 3, 4, 2, 0, 3, 2, 0, 4, 0, 2, 1, 1, 2, 0, 3, 2, 2, 3, 2, 2, 0, 0, 0, 4, 4, 1, 3, 3, 0, 0, 4, 2, 3, 0, 1, 0, 1, 3, 0, 4, 0, 4, 2, 0, 1, 0, 4, 4, 0, 2, 1, 3, 1, 0, 3, 0, 2, 2, 3, 1, 3, 4, 0, 1, 1, 1, 4, 2, 2, 3, 2, 1, 0, 2, 4, 2, 0, 1, 2, 0, 3, 2, 1, 3, 0, 2, 1, 1, 4, 1, 2, 4, 1, 4, 3, 0, 2, 1, 1, 3, 2, 1, 0, 0, 1, 2, 2, 1, 0, 4, 4, 1, 2, 3, 4, 2, 0, 0, 0, 2, 0, 4, 3, 1, 1, 2, 2, 2, 3, 2, 3, 3, 1, 4, 4, 4, 2, 3, 4, 2, 4, 4, 4, 4, 4, 0, 1, 2, 2, 0, 3, 3, 2, 3, 4, 2, 2, 3, 0, 3, 0, 1, 3, 4, 3, 1, 3, 4, 4, 1, 1, 0, 2, 4, 1, 2, 2, 4, 3, 2, 1, 1, 0, 1, 0, 0, 4, 0, 0, 3, 0, 4, 1, 1, 3, 4, 1, 3, 1, 1, 3, 2, 3, 0, 0, 2, 0, 2, 4, 3, 3, 0, 1, 2, 1, 2, 0, 4, 3, 2, 1, 4, 1, 1, 2, 3, 3, 0, 4, 3, 3, 1, 3, 0, 1, 4, 1, 0, 1, 3, 1, 0, 2, 2, 4, 3, 3, 3, 0, 2, 4, 4, 2, 2, 0, 0, 4, 0, 1, 0, 2, 2, 3, 2, 4, 0, 0, 4, 0, 1, 2, 3, 0, 2, 2, 1, 2, 4, 2, 4, 2, 2, 4, 4, 3, 3, 4, 1, 0, 3, 2, 1, 0, 0, 4, 2, 2, 0, 0, 3, 0, 4, 1, 4, 0, 4, 2, 0, 4, 4, 4, 1, 0, 0, 1, 3, 2, 4, 1, 3, 3, 2, 2, 3, 0, 1, 4, 4, 4, 1, 2, 3, 2, 1, 4, 0, 1, 2, 1, 3, 2, 2, 2, 1, 2]
pubkeycol1422 = [2, 3, 0, 0, 4, 1, 0, 2, 1, 1, 4, 3, 4, 0, 1, 3, 4, 2, 2, 3, 0, 4, 4, 4, 1, 4, 2, 0, 1, 2, 4, 4, 4, 2, 0, 2, 3, 3, 2, 2, 2, 4, 1, 1, 1, 1, 1, 3, 1, 4, 0, 4, 2, 0, 3, 1, 0, 3, 4, 3, 3, 2, 0, 2, 2, 1, 2, 1, 1, 2, 3, 1, 4, 3, 4, 3, 1, 4, 2, 1, 3, 1, 0, 2, 3, 2, 0, 2, 2, 4, 1, 0, 3, 1, 3, 2, 1, 0, 1, 1, 3, 1, 4, 3, 3, 2, 2, 4, 3, 0, 4, 3, 3, 2, 4, 4, 1, 4, 1, 4, 1, 3, 0, 0, 0, 2, 4, 3, 2, 3, 3, 4, 2, 3, 1, 4, 2, 4, 2, 1, 0, 2, 1, 0, 3, 4, 2, 0, 0, 2, 2, 4, 4, 1, 4, 3, 3, 1, 4, 1, 1, 1, 4, 4, 0, 4, 3, 2, 1, 0, 1, 1, 4, 1, 4, 0, 0, 0, 0, 3, 0, 3, 4, 1, 1, 3, 3, 2, 4, 4, 0, 3, 2, 1, 2, 3, 4, 4, 3, 4, 0, 1, 1, 0, 0, 0, 1, 0, 4, 2, 4, 1, 4, 1, 2, 2, 3, 3, 1, 4, 4, 4, 3, 1, 0, 1, 4, 1, 4, 0, 4, 3, 0, 2, 4, 4, 4, 4, 0, 3, 1, 0, 0, 2, 2, 1, 3, 3, 2, 1, 3, 2, 4, 1, 0, 4, 0, 2, 3, 1, 0, 1, 1, 0, 3, 2, 0, 4, 2, 1, 2, 3, 4, 1, 1, 0, 4, 2, 3, 3, 0, 4, 1, 4, 1, 1, 4, 4, 2, 0, 2, 2, 0, 1, 0, 2, 4, 4, 2, 0, 0, 3, 0, 3, 4, 2, 1, 2, 2, 0, 1, 0, 1, 1, 4, 4, 1, 1, 2, 0, 4, 4, 1, 1, 0, 1, 1, 0, 3, 0, 0, 0, 0, 1, 2, 2, 4, 3, 1, 0, 1, 0, 4, 1, 0, 2, 2, 3, 2, 1, 3, 3, 0, 4, 2, 1, 0, 3, 2, 1, 2, 0, 4, 4, 3, 2, 2, 1, 4, 3, 1, 3, 0, 1, 1, 1, 3, 1, 1, 2, 3, 2, 3, 3, 3, 4, 0, 2, 4, 3, 4, 1, 2, 4, 0, 2, 4, 4, 3, 4, 2, 2, 3, 2, 1, 0, 0, 3, 2, 3, 1, 2, 4, 0, 2, 3, 0, 0, 0, 4, 4, 2, 4, 2, 0, 1, 4, 4, 1, 1, 3, 4, 4, 4, 1, 1, 3, 4, 0, 0, 0, 1, 2, 1, 1, 4, 2, 1, 0, 4, 2, 1, 0, 3, 3, 4, 4, 1, 0, 0, 4, 3, 4, 1, 4, 1, 4, 1, 4, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 3, 1, 3, 4, 3, 0, 1, 3, 1, 1, 1, 3, 2, 1, 3, 4, 4, 2, 4, 0, 4, 4, 1, 3]
pubkeycol1423 = [0, 0, 3, 2, 4, 2, 2, 2, 3, 1, 1, 1, 0, 3, 2, 2, 2, 0, 1, 2, 4, 1, 2, 2, 0, 0, 4, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 4, 2, 0, 2, 2, 0, 0, 4, 4, 0, 3, 0, 3, 1, 1, 1, 3, 3, 3, 4, 3, 2, 4, 1, 2, 1, 3, 1, 0, 4, 0, 1, 1, 3, 3, 0, 0, 1, 1, 1, 1, 3, 0, 0, 2, 2, 4, 1, 4, 0, 3, 3, 4, 4, 3, 1, 0, 3, 1, 3, 4, 0, 3, 1, 0, 3, 2, 4, 2, 1, 3, 0, 0, 2, 1, 3, 2, 3, 4, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 4, 4, 0, 0, 4, 2, 4, 3, 1, 2, 1, 2, 3, 2, 3, 1, 3, 3, 3, 3, 4, 3, 3, 0, 0, 4, 4, 4, 2, 0, 3, 0, 3, 0, 2, 1, 3, 3, 0, 2, 3, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 4, 0, 2, 4, 2, 0, 3, 4, 3, 0, 2, 0, 0, 3, 4, 2, 3, 3, 1, 0, 2, 3, 0, 3, 4, 0, 4, 4, 2, 4, 4, 4, 1, 2, 0, 1, 0, 0, 3, 2, 4, 4, 4, 3, 2, 4, 4, 0, 1, 4, 0, 2, 0, 1, 1, 1, 0, 4, 0, 4, 3, 0, 1, 3, 3, 0, 4, 2, 3, 2, 2, 0, 2, 0, 4, 4, 3, 1, 3, 4, 4, 3, 1, 0, 4, 4, 3, 1, 0, 4, 0, 4, 1, 1, 1, 4, 4, 3, 0, 0, 0, 1, 0, 1, 1, 4, 2, 1, 0, 4, 2, 3, 2, 4, 4, 4, 4, 1, 1, 2, 0, 1, 3, 0, 4, 4, 4, 0, 2, 1, 4, 1, 2, 1, 0, 0, 3, 0, 4, 1, 2, 2, 4, 1, 0, 1, 3, 3, 1, 0, 0, 0, 4, 4, 3, 2, 4, 2, 3, 3, 4, 4, 0, 3, 3, 0, 3, 3, 2, 1, 3, 2, 2, 0, 1, 1, 3, 2, 3, 3, 2, 0, 2, 3, 1, 2, 0, 2, 3, 2, 0, 1, 0, 4, 2, 3, 2, 2, 3, 4, 1, 4, 2, 2, 4, 1, 3, 0, 3, 2, 3, 0, 1, 1, 1, 3, 1, 2, 4, 4, 3, 3, 2, 1, 1, 4, 3, 3, 0, 0, 1, 3, 2, 0, 2, 3, 1, 3, 3, 1, 2, 4, 4, 3, 4, 1, 3, 4, 1, 1, 2, 0, 3, 2, 4, 2, 3, 3, 1, 2, 2, 4, 1, 3, 2, 3, 1, 4, 0, 4, 4, 4, 0, 4, 1, 0, 4, 0, 4, 2, 0, 0, 1, 4, 1, 3, 4, 4, 0, 3, 3, 0, 3, 3, 0, 0, 4, 0, 1, 1, 1, 2, 3, 0, 0, 0, 2, 0, 1, 4, 3, 2, 3, 2, 2, 3, 3, 4, 2, 1, 1, 1, 3, 2]
pubkeycol1424 = [3, 4, 0, 2, 3, 0, 3, 3, 4, 1, 0, 3, 2, 2, 3, 4, 2, 3, 0, 1, 3, 2, 4, 0, 3, 0, 3, 3, 2, 0, 3, 0, 1, 1, 0, 1, 2, 1, 1, 1, 4, 3, 0, 4, 0, 3, 4, 3, 3, 2, 1, 1, 4, 4, 3, 3, 4, 1, 2, 1, 1, 4, 3, 4, 3, 0, 2, 1, 3, 0, 3, 2, 0, 2, 3, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 4, 0, 4, 3, 4, 3, 0, 3, 3, 0, 0, 0, 0, 3, 1, 0, 3, 1, 3, 0, 1, 4, 2, 4, 0, 4, 4, 1, 4, 3, 3, 0, 3, 1, 1, 0, 2, 4, 3, 4, 2, 2, 4, 1, 0, 2, 3, 3, 2, 2, 1, 1, 0, 1, 4, 1, 3, 4, 4, 2, 2, 1, 0, 2, 1, 1, 3, 1, 4, 2, 3, 2, 1, 0, 0, 0, 1, 3, 2, 0, 1, 0, 4, 0, 4, 3, 3, 4, 2, 1, 0, 2, 1, 1, 4, 4, 0, 3, 0, 3, 2, 4, 1, 4, 4, 3, 0, 0, 4, 1, 2, 0, 4, 1, 2, 2, 3, 3, 3, 2, 3, 2, 0, 4, 1, 0, 0, 2, 4, 2, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 0, 2, 2, 2, 1, 0, 4, 4, 3, 1, 1, 0, 3, 0, 0, 2, 3, 4, 2, 0, 2, 4, 2, 1, 2, 0, 0, 2, 0, 3, 2, 3, 3, 0, 3, 2, 4, 3, 4, 3, 0, 0, 0, 1, 0, 2, 3, 2, 1, 0, 3, 3, 2, 2, 2, 1, 0, 1, 3, 3, 4, 2, 3, 0, 1, 1, 0, 3, 3, 1, 0, 1, 0, 0, 2, 3, 4, 3, 2, 4, 0, 0, 4, 0, 2, 1, 1, 1, 3, 0, 1, 4, 3, 3, 2, 0, 4, 1, 1, 0, 1, 0, 0, 0, 0, 3, 4, 4, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 3, 3, 1, 0, 4, 1, 0, 4, 4, 4, 4, 1, 4, 4, 0, 4, 3, 0, 3, 4, 0, 0, 2, 1, 3, 4, 4, 2, 3, 3, 3, 4, 3, 3, 3, 3, 0, 2, 3, 3, 1, 1, 0, 0, 4, 0, 4, 0, 0, 4, 2, 0, 0, 0, 0, 3, 4, 4, 3, 4, 4, 1, 0, 1, 3, 4, 0, 0, 0, 3, 3, 1, 0, 0, 2, 0, 2, 0, 1, 3, 1, 0, 1, 1, 4, 0, 0, 3, 3, 0, 2, 4, 4, 1, 2, 2, 4, 4, 2, 0, 3, 2, 2, 3, 4, 2, 0, 1, 1, 0, 3, 1, 3, 0, 4, 0, 2, 4, 0, 0, 2, 1, 3, 4, 1, 1, 0, 1, 1, 2, 1, 3, 0, 0, 4, 4, 4, 3, 1, 2, 2, 1, 1, 3, 4, 0, 1, 3, 1, 4, 1, 2, 1, 0, 3, 4, 0, 1, 3, 1]
pubkeycol1425 = [4, 2, 3, 2, 4, 1, 2, 1, 1, 2, 3, 0, 0, 3, 4, 0, 0, 0, 1, 4, 1, 3, 1, 4, 1, 0, 2, 2, 2, 3, 3, 2, 2, 0, 3, 3, 0, 1, 0, 4, 4, 4, 1, 2, 2, 4, 3, 4, 4, 0, 0, 0, 3, 1, 1, 3, 0, 3, 0, 3, 0, 3, 3, 4, 4, 1, 0, 4, 0, 1, 1, 3, 1, 4, 1, 1, 0, 3, 1, 2, 4, 3, 1, 1, 1, 3, 0, 1, 0, 3, 1, 3, 4, 4, 3, 1, 3, 2, 1, 2, 3, 4, 3, 1, 3, 4, 2, 3, 1, 3, 0, 0, 3, 1, 2, 4, 2, 3, 1, 1, 2, 2, 1, 2, 1, 0, 3, 0, 2, 4, 1, 4, 3, 4, 1, 4, 4, 0, 1, 3, 1, 2, 2, 2, 0, 0, 2, 0, 4, 3, 4, 3, 4, 0, 2, 0, 4, 1, 4, 2, 3, 0, 1, 0, 2, 2, 0, 2, 2, 3, 1, 1, 1, 1, 0, 3, 2, 3, 4, 1, 1, 3, 4, 0, 0, 0, 3, 4, 1, 3, 0, 3, 3, 1, 0, 0, 2, 3, 3, 1, 1, 1, 0, 0, 0, 1, 4, 1, 2, 4, 0, 3, 3, 0, 0, 2, 0, 4, 0, 1, 0, 3, 3, 0, 4, 4, 3, 2, 3, 1, 0, 3, 1, 2, 1, 2, 3, 3, 0, 1, 1, 4, 4, 1, 0, 4, 3, 1, 3, 1, 4, 1, 3, 3, 1, 4, 4, 4, 0, 1, 0, 2, 4, 2, 1, 2, 0, 4, 2, 4, 0, 3, 4, 0, 0, 3, 4, 4, 0, 1, 0, 1, 1, 3, 0, 3, 0, 1, 1, 1, 4, 2, 2, 2, 0, 0, 3, 2, 3, 4, 4, 2, 4, 2, 4, 3, 2, 4, 4, 0, 2, 4, 3, 2, 3, 1, 4, 1, 3, 2, 1, 2, 2, 1, 0, 1, 4, 4, 3, 0, 0, 1, 3, 2, 2, 1, 2, 0, 1, 1, 4, 4, 3, 2, 1, 0, 4, 3, 0, 3, 3, 3, 1, 3, 4, 3, 4, 4, 0, 0, 3, 1, 1, 4, 4, 0, 3, 3, 0, 3, 3, 0, 3, 4, 3, 1, 0, 3, 0, 4, 3, 3, 2, 1, 3, 0, 1, 3, 1, 3, 0, 1, 2, 3, 3, 3, 3, 0, 1, 3, 4, 0, 1, 0, 3, 2, 0, 4, 3, 4, 1, 3, 2, 3, 1, 0, 2, 3, 0, 0, 1, 2, 3, 2, 2, 0, 1, 2, 0, 4, 2, 4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 2, 4, 3, 1, 1, 1, 2, 4, 2, 2, 4, 0, 1, 0, 2, 0, 2, 1, 2, 2, 3, 0, 3, 2, 1, 0, 3, 2, 1, 2, 3, 4, 4, 0, 1, 1, 4, 3, 0, 2, 3, 2, 3, 1, 3, 0, 2, 4, 4, 3, 0, 0, 3, 1, 0, 2, 0, 0, 1, 4, 1, 2, 1]
pubkeycol1426 = [2, 1, 2, 1, 1, 3, 1, 3, 3, 1, 3, 2, 4, 0, 3, 1, 3, 0, 4, 3, 2, 2, 1, 3, 3, 4, 4, 0, 0, 1, 1, 4, 2, 3, 0, 0, 3, 1, 1, 4, 2, 2, 4, 3, 4, 2, 4, 4, 4, 4, 0, 0, 0, 0, 4, 1, 3, 2, 4, 0, 1, 4, 2, 1, 3, 1, 3, 4, 2, 3, 3, 1, 4, 3, 1, 1, 4, 2, 1, 1, 0, 3, 2, 2, 1, 1, 3, 4, 0, 4, 4, 4, 4, 3, 1, 0, 0, 4, 2, 3, 1, 2, 4, 0, 3, 0, 3, 0, 4, 4, 1, 2, 2, 4, 0, 1, 1, 2, 1, 0, 0, 1, 4, 4, 1, 1, 4, 2, 2, 0, 1, 2, 3, 4, 0, 1, 1, 1, 1, 2, 4, 0, 1, 4, 0, 3, 3, 3, 2, 0, 1, 1, 1, 3, 1, 4, 2, 1, 0, 4, 3, 3, 0, 0, 2, 1, 4, 4, 1, 2, 2, 1, 3, 2, 4, 1, 4, 1, 3, 3, 1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 2, 3, 0, 1, 0, 4, 3, 2, 0, 2, 1, 3, 4, 0, 3, 2, 3, 1, 0, 3, 2, 3, 4, 2, 0, 1, 0, 1, 4, 1, 4, 1, 3, 1, 0, 0, 0, 2, 4, 1, 1, 2, 4, 4, 3, 3, 2, 3, 0, 2, 2, 4, 3, 3, 1, 3, 0, 0, 0, 3, 1, 0, 0, 3, 4, 0, 0, 0, 1, 4, 4, 0, 3, 2, 2, 2, 2, 0, 0, 0, 0, 0, 4, 2, 4, 2, 0, 0, 4, 0, 2, 0, 3, 0, 1, 3, 2, 0, 1, 3, 0, 2, 1, 0, 3, 4, 3, 2, 2, 1, 0, 2, 2, 2, 4, 4, 1, 2, 0, 4, 3, 4, 4, 3, 0, 1, 2, 2, 0, 2, 3, 1, 2, 2, 4, 4, 2, 1, 3, 4, 1, 2, 4, 2, 2, 1, 1, 1, 1, 4, 3, 4, 1, 2, 3, 4, 1, 4, 3, 1, 3, 3, 2, 1, 1, 3, 4, 2, 3, 3, 2, 2, 4, 4, 0, 3, 4, 2, 2, 2, 2, 3, 3, 2, 3, 3, 2, 0, 0, 2, 1, 1, 3, 2, 2, 2, 3, 0, 3, 1, 2, 2, 1, 2, 4, 3, 4, 0, 2, 2, 2, 1, 2, 4, 1, 2, 4, 1, 1, 3, 3, 2, 3, 1, 4, 3, 1, 1, 1, 3, 2, 0, 2, 3, 2, 2, 1, 2, 0, 4, 4, 1, 2, 1, 4, 1, 1, 2, 1, 1, 4, 2, 0, 2, 4, 4, 1, 1, 3, 4, 3, 4, 3, 1, 1, 3, 1, 1, 3, 3, 1, 3, 2, 0, 3, 4, 3, 3, 2, 2, 1, 3, 0, 2, 0, 3, 2, 3, 0, 4, 2, 3, 4, 1, 3, 2, 2, 4, 4, 2, 1, 1, 4, 1, 1, 4, 4, 1, 1, 4, 2, 1, 2, 3, 2]
pubkeycol1427 = [3, 1, 4, 4, 3, 2, 4, 4, 2, 3, 2, 0, 0, 4, 2, 3, 4, 3, 3, 1, 4, 3, 3, 1, 4, 3, 0, 4, 2, 1, 3, 3, 2, 3, 3, 3, 2, 4, 3, 3, 2, 0, 2, 2, 0, 0, 3, 2, 0, 2, 3, 0, 4, 4, 4, 4, 1, 2, 4, 0, 0, 3, 3, 2, 2, 2, 0, 0, 4, 4, 3, 3, 0, 1, 1, 0, 0, 0, 3, 4, 3, 0, 0, 1, 4, 0, 2, 1, 3, 1, 3, 3, 0, 3, 2, 1, 2, 2, 0, 4, 0, 1, 0, 0, 1, 0, 3, 4, 2, 2, 1, 0, 3, 4, 2, 3, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 4, 0, 4, 2, 4, 2, 0, 1, 4, 4, 3, 3, 1, 2, 1, 3, 4, 1, 0, 0, 4, 1, 1, 3, 1, 2, 2, 3, 3, 3, 4, 2, 0, 0, 3, 3, 4, 3, 1, 4, 0, 4, 1, 0, 3, 4, 1, 3, 3, 0, 3, 3, 0, 1, 2, 1, 2, 2, 4, 1, 4, 4, 3, 3, 2, 2, 4, 2, 2, 0, 3, 3, 4, 1, 1, 3, 1, 1, 2, 1, 4, 3, 2, 3, 1, 3, 0, 0, 4, 4, 0, 2, 3, 1, 4, 2, 2, 1, 3, 2, 4, 1, 3, 2, 4, 4, 0, 4, 1, 0, 2, 2, 0, 3, 3, 1, 2, 0, 3, 0, 0, 1, 1, 3, 0, 2, 0, 0, 1, 2, 3, 1, 2, 4, 1, 4, 4, 0, 2, 3, 0, 4, 3, 1, 2, 0, 2, 4, 2, 1, 2, 3, 2, 1, 0, 2, 4, 1, 4, 4, 2, 4, 2, 4, 1, 2, 4, 2, 1, 3, 0, 3, 3, 3, 2, 2, 0, 4, 3, 4, 3, 2, 2, 3, 2, 2, 3, 2, 3, 1, 1, 2, 0, 4, 3, 1, 0, 3, 4, 2, 0, 4, 3, 0, 4, 1, 1, 4, 4, 2, 3, 2, 0, 4, 1, 1, 0, 3, 2, 3, 0, 1, 2, 0, 0, 0, 1, 3, 4, 2, 2, 4, 4, 2, 4, 3, 2, 2, 2, 3, 3, 0, 4, 1, 3, 2, 1, 2, 0, 1, 1, 3, 3, 1, 1, 4, 4, 1, 0, 3, 1, 0, 2, 4, 3, 1, 2, 2, 2, 1, 4, 0, 1, 1, 0, 1, 1, 3, 1, 3, 0, 4, 4, 4, 0, 0, 2, 0, 0, 0, 2, 3, 1, 0, 3, 2, 3, 4, 4, 4, 2, 3, 1, 3, 0, 4, 2, 0, 2, 0, 4, 3, 2, 4, 2, 1, 1, 1, 3, 2, 1, 2, 3, 3, 0, 2, 0, 2, 3, 3, 2, 2, 3, 4, 3, 2, 3, 0, 0, 2, 3, 3, 3, 0, 3, 4, 4, 2, 2, 0, 2, 1, 1, 4, 1, 1, 0, 3, 0, 1, 3, 3, 1, 1, 3, 4, 0, 1, 0, 4, 2, 1, 2, 0, 3, 4, 1, 4, 2]
pubkeycol1428 = [4, 1, 1, 3, 3, 4, 3, 3, 1, 1, 3, 1, 2, 2, 4, 4, 1, 4, 1, 0, 3, 3, 2, 1, 0, 0, 3, 0, 2, 1, 1, 3, 2, 3, 3, 4, 3, 2, 2, 0, 2, 1, 4, 0, 1, 3, 0, 0, 2, 2, 3, 4, 0, 1, 1, 2, 0, 3, 3, 0, 2, 3, 2, 4, 3, 1, 3, 1, 0, 3, 2, 4, 2, 0, 3, 1, 1, 3, 1, 3, 3, 2, 3, 1, 0, 0, 4, 4, 0, 3, 3, 1, 4, 0, 0, 0, 0, 1, 3, 3, 3, 0, 3, 0, 2, 1, 3, 4, 4, 2, 3, 4, 4, 4, 3, 0, 3, 4, 4, 0, 0, 1, 3, 1, 4, 2, 0, 0, 4, 2, 4, 0, 4, 4, 2, 2, 3, 0, 2, 0, 0, 4, 3, 3, 0, 2, 2, 2, 3, 0, 1, 2, 0, 4, 1, 3, 1, 3, 4, 2, 2, 0, 1, 4, 3, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 4, 2, 3, 4, 4, 4, 4, 3, 2, 4, 4, 4, 0, 4, 2, 1, 3, 3, 3, 4, 0, 2, 0, 1, 1, 3, 0, 0, 4, 1, 4, 3, 4, 3, 0, 4, 0, 1, 4, 3, 0, 1, 2, 4, 2, 0, 3, 4, 1, 4, 3, 3, 2, 0, 0, 1, 0, 0, 3, 1, 4, 0, 2, 4, 1, 2, 2, 3, 3, 1, 4, 1, 3, 0, 1, 2, 2, 1, 3, 2, 2, 2, 0, 0, 2, 1, 3, 4, 2, 3, 3, 4, 3, 2, 3, 2, 2, 4, 4, 4, 2, 4, 1, 4, 4, 1, 0, 3, 1, 1, 0, 0, 0, 3, 4, 0, 4, 3, 1, 4, 4, 4, 4, 4, 0, 2, 3, 2, 2, 0, 4, 3, 4, 2, 3, 1, 0, 0, 4, 4, 4, 3, 0, 2, 4, 2, 0, 4, 3, 1, 2, 2, 1, 0, 3, 1, 4, 2, 0, 1, 1, 3, 2, 1, 1, 1, 1, 1, 4, 1, 1, 4, 4, 2, 3, 0, 3, 0, 4, 0, 3, 2, 3, 3, 1, 4, 3, 1, 1, 4, 1, 4, 3, 4, 3, 1, 0, 0, 4, 1, 4, 1, 4, 3, 0, 0, 2, 4, 3, 3, 0, 4, 3, 1, 2, 0, 1, 4, 4, 0, 4, 3, 1, 4, 1, 4, 0, 4, 4, 0, 3, 0, 1, 3, 1, 1, 4, 2, 2, 4, 1, 0, 1, 0, 3, 3, 4, 0, 0, 3, 1, 4, 2, 3, 2, 2, 2, 0, 4, 0, 3, 3, 2, 2, 0, 4, 3, 3, 4, 0, 0, 2, 1, 2, 2, 4, 0, 2, 4, 1, 4, 0, 2, 1, 2, 4, 2, 3, 4, 1, 4, 4, 3, 4, 3, 0, 2, 3, 4, 0, 1, 1, 3, 2, 3, 1, 1, 1, 4, 1, 1, 3, 3, 4, 2, 1, 3, 0, 3, 0, 4, 3, 3, 3, 2, 2, 3, 3]
pubkeycol1429 = [3, 2, 3, 3, 0, 3, 4, 4, 0, 0, 4, 0, 1, 3, 1, 0, 0, 0, 2, 0, 3, 2, 4, 2, 0, 3, 0, 1, 0, 0, 2, 1, 3, 4, 3, 2, 1, 3, 1, 3, 1, 4, 4, 4, 3, 3, 4, 2, 3, 2, 1, 4, 2, 4, 4, 1, 4, 1, 2, 4, 2, 1, 1, 1, 2, 0, 1, 4, 0, 2, 3, 1, 0, 3, 3, 4, 3, 4, 0, 2, 3, 4, 1, 1, 4, 3, 4, 1, 3, 0, 2, 3, 4, 3, 4, 0, 4, 0, 0, 1, 0, 1, 0, 0, 2, 0, 3, 2, 4, 0, 4, 4, 4, 3, 1, 4, 2, 2, 2, 2, 3, 4, 2, 2, 4, 4, 2, 4, 3, 1, 2, 4, 3, 3, 2, 2, 0, 4, 1, 0, 3, 0, 0, 4, 1, 2, 4, 1, 4, 0, 1, 4, 0, 0, 3, 2, 1, 0, 0, 1, 3, 3, 2, 0, 0, 4, 0, 1, 0, 1, 3, 0, 2, 3, 1, 0, 3, 2, 2, 0, 1, 0, 0, 2, 1, 3, 1, 2, 0, 1, 0, 1, 2, 2, 2, 4, 3, 1, 1, 2, 1, 4, 1, 3, 4, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 3, 2, 0, 4, 1, 0, 1, 2, 3, 4, 4, 4, 4, 4, 3, 3, 2, 0, 3, 3, 3, 3, 1, 4, 2, 1, 3, 3, 3, 2, 1, 0, 0, 4, 4, 2, 1, 2, 4, 2, 1, 0, 4, 1, 1, 1, 2, 2, 3, 1, 4, 0, 0, 1, 4, 2, 3, 1, 2, 3, 0, 3, 3, 4, 3, 3, 1, 2, 2, 4, 2, 0, 0, 2, 3, 1, 2, 3, 2, 2, 2, 4, 2, 2, 2, 4, 3, 3, 2, 1, 3, 2, 3, 2, 1, 1, 3, 1, 1, 3, 2, 4, 4, 0, 4, 2, 2, 4, 4, 2, 1, 4, 1, 0, 0, 2, 3, 2, 2, 3, 2, 3, 0, 3, 2, 2, 3, 1, 2, 0, 1, 4, 0, 3, 0, 0, 0, 4, 2, 1, 3, 1, 2, 2, 0, 2, 1, 2, 3, 4, 2, 0, 3, 2, 2, 2, 3, 2, 1, 1, 0, 0, 2, 4, 3, 1, 0, 0, 3, 4, 3, 3, 0, 2, 2, 1, 3, 3, 3, 4, 3, 2, 4, 4, 0, 1, 1, 4, 1, 4, 3, 0, 2, 3, 2, 3, 2, 2, 0, 1, 4, 1, 4, 3, 0, 4, 2, 0, 4, 0, 0, 2, 4, 0, 2, 4, 2, 4, 2, 1, 0, 3, 2, 4, 4, 2, 0, 3, 2, 3, 2, 2, 4, 0, 0, 0, 1, 3, 1, 3, 3, 0, 2, 1, 1, 3, 3, 4, 1, 0, 4, 0, 0, 2, 1, 2, 4, 0, 1, 2, 4, 1, 0, 2, 1, 4, 3, 4, 4, 1, 4, 0, 3, 2, 1, 1, 1, 0, 3, 1, 1, 2, 0, 0, 3, 0, 2, 2, 0, 4]
pubkeycol1430 = [0, 2, 1, 4, 0, 3, 0, 3, 2, 4, 1, 3, 0, 1, 3, 0, 0, 3, 4, 1, 4, 3, 2, 1, 0, 2, 0, 3, 2, 0, 4, 0, 2, 1, 1, 1, 0, 0, 0, 4, 3, 3, 0, 4, 3, 0, 2, 2, 3, 3, 2, 3, 1, 3, 3, 2, 4, 4, 3, 2, 0, 0, 4, 1, 3, 3, 0, 4, 4, 1, 0, 3, 2, 3, 3, 1, 1, 3, 4, 0, 2, 4, 4, 4, 4, 3, 4, 0, 2, 3, 2, 0, 0, 2, 3, 2, 1, 1, 4, 3, 4, 4, 4, 4, 2, 1, 0, 2, 4, 2, 2, 2, 0, 4, 4, 4, 1, 0, 1, 1, 4, 0, 1, 3, 3, 4, 4, 3, 2, 0, 4, 0, 3, 4, 1, 3, 2, 2, 2, 0, 0, 1, 0, 2, 2, 4, 0, 3, 2, 4, 1, 3, 3, 4, 0, 0, 0, 3, 1, 0, 4, 1, 4, 1, 0, 3, 1, 0, 1, 4, 1, 1, 1, 3, 2, 2, 1, 3, 0, 3, 3, 0, 0, 3, 1, 2, 3, 4, 3, 1, 2, 1, 2, 4, 4, 3, 4, 0, 0, 1, 1, 2, 2, 4, 1, 4, 1, 2, 2, 1, 4, 4, 3, 1, 0, 0, 3, 3, 0, 3, 2, 4, 4, 3, 3, 4, 3, 2, 3, 2, 1, 0, 3, 4, 2, 0, 3, 0, 0, 2, 0, 0, 3, 4, 1, 0, 0, 0, 4, 2, 1, 2, 4, 4, 0, 2, 3, 3, 2, 3, 4, 4, 4, 2, 0, 2, 1, 2, 4, 4, 0, 2, 3, 3, 3, 1, 3, 0, 1, 2, 0, 2, 3, 3, 4, 3, 0, 1, 3, 3, 0, 4, 4, 1, 2, 4, 4, 2, 2, 4, 1, 0, 4, 2, 4, 2, 0, 3, 1, 2, 0, 1, 0, 0, 1, 2, 3, 1, 1, 4, 4, 4, 1, 1, 1, 3, 3, 2, 0, 1, 2, 2, 2, 0, 1, 4, 2, 2, 0, 0, 1, 0, 1, 0, 2, 3, 2, 2, 0, 0, 3, 0, 4, 2, 1, 2, 4, 0, 3, 0, 2, 3, 2, 2, 3, 0, 3, 1, 4, 0, 2, 0, 0, 1, 4, 2, 2, 2, 3, 3, 2, 0, 0, 1, 1, 4, 2, 1, 3, 0, 0, 0, 0, 1, 4, 3, 4, 1, 2, 3, 0, 1, 0, 3, 1, 3, 1, 4, 2, 1, 1, 2, 0, 2, 4, 4, 0, 1, 4, 3, 4, 0, 3, 0, 3, 3, 0, 0, 3, 4, 0, 2, 4, 4, 1, 0, 4, 3, 1, 1, 1, 1, 0, 2, 3, 2, 0, 1, 1, 3, 2, 0, 0, 3, 2, 4, 0, 4, 4, 0, 4, 3, 0, 2, 2, 3, 3, 0, 1, 4, 0, 3, 2, 4, 3, 1, 0, 3, 4, 4, 1, 1, 3, 1, 4, 2, 1, 1, 4, 3, 3, 4, 1, 1, 4, 3, 0, 1, 4, 1, 3, 0, 4, 3, 2]
pubkeycol1431 = [2, 4, 0, 3, 2, 3, 2, 2, 1, 1, 1, 3, 4, 0, 2, 1, 4, 3, 1, 0, 1, 0, 0, 3, 4, 4, 0, 3, 0, 4, 4, 2, 3, 0, 4, 2, 3, 4, 3, 1, 2, 2, 4, 4, 3, 4, 2, 3, 3, 4, 1, 3, 1, 1, 2, 4, 0, 0, 0, 1, 1, 0, 4, 2, 1, 4, 4, 4, 1, 1, 2, 0, 2, 3, 2, 4, 0, 1, 4, 4, 4, 1, 4, 2, 1, 4, 3, 1, 4, 1, 3, 4, 2, 4, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 4, 0, 0, 0, 4, 0, 4, 1, 3, 0, 0, 4, 3, 3, 2, 2, 2, 2, 1, 0, 2, 2, 4, 4, 4, 2, 0, 3, 1, 4, 2, 4, 2, 0, 1, 3, 3, 1, 2, 1, 1, 4, 3, 2, 0, 1, 0, 0, 2, 2, 1, 3, 2, 3, 3, 0, 2, 0, 4, 0, 2, 2, 0, 4, 0, 1, 1, 4, 4, 4, 4, 4, 4, 1, 0, 4, 0, 1, 2, 2, 1, 4, 3, 1, 1, 0, 0, 2, 3, 3, 0, 0, 3, 3, 3, 0, 0, 4, 2, 2, 0, 1, 4, 3, 1, 1, 1, 2, 0, 2, 4, 0, 3, 0, 3, 1, 0, 1, 4, 3, 4, 1, 2, 3, 1, 1, 3, 1, 3, 1, 3, 4, 2, 4, 4, 2, 3, 3, 2, 3, 1, 0, 0, 3, 0, 3, 4, 0, 0, 3, 2, 2, 2, 0, 2, 2, 1, 4, 1, 3, 4, 4, 3, 4, 2, 0, 1, 0, 4, 1, 3, 2, 1, 2, 2, 1, 1, 0, 4, 2, 2, 2, 3, 0, 2, 2, 0, 4, 3, 1, 0, 1, 0, 2, 2, 1, 4, 4, 4, 4, 2, 4, 3, 4, 2, 0, 3, 0, 3, 0, 0, 2, 2, 2, 1, 0, 3, 2, 2, 3, 4, 2, 4, 2, 1, 4, 1, 4, 0, 1, 2, 4, 3, 4, 3, 3, 4, 2, 1, 2, 0, 3, 0, 2, 2, 1, 2, 1, 3, 2, 2, 3, 0, 2, 1, 3, 2, 1, 1, 2, 4, 3, 0, 3, 2, 4, 3, 1, 2, 4, 1, 4, 1, 1, 0, 1, 0, 0, 2, 4, 2, 4, 0, 1, 0, 4, 3, 3, 1, 4, 1, 0, 2, 4, 0, 4, 0, 1, 3, 3, 4, 2, 1, 2, 0, 1, 0, 2, 4, 2, 2, 1, 2, 0, 0, 3, 4, 4, 0, 2, 2, 3, 2, 4, 0, 1, 1, 3, 0, 3, 4, 3, 4, 0, 4, 1, 2, 3, 2, 1, 0, 0, 2, 4, 2, 2, 2, 1, 4, 3, 4, 3, 0, 0, 1, 3, 2, 1, 4, 3, 4, 2, 1, 3, 2, 4, 3, 1, 1, 1, 1, 4, 3, 0, 2, 0, 0, 4, 3, 0, 0, 1, 2, 0, 4, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 3, 4, 1, 3, 1]
pubkeycol1432 = [4, 3, 4, 0, 1, 1, 3, 2, 3, 3, 1, 2, 4, 1, 3, 2, 1, 4, 4, 4, 1, 2, 0, 0, 1, 2, 0, 0, 3, 0, 4, 3, 0, 4, 0, 3, 2, 4, 4, 3, 1, 2, 4, 2, 1, 4, 4, 3, 2, 2, 3, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 3, 3, 2, 3, 0, 4, 3, 4, 2, 4, 3, 4, 0, 3, 3, 1, 0, 2, 0, 1, 0, 4, 0, 2, 1, 3, 0, 1, 4, 0, 4, 4, 4, 1, 2, 1, 3, 4, 3, 2, 4, 1, 1, 2, 0, 3, 4, 1, 2, 1, 3, 2, 0, 3, 0, 0, 3, 1, 1, 3, 2, 3, 2, 2, 1, 0, 1, 4, 1, 2, 0, 1, 0, 3, 0, 2, 3, 3, 3, 4, 1, 1, 0, 1, 4, 4, 4, 4, 4, 4, 4, 4, 0, 3, 0, 2, 4, 0, 2, 1, 2, 4, 4, 3, 4, 4, 3, 1, 4, 3, 3, 2, 2, 1, 1, 0, 2, 1, 2, 4, 4, 4, 2, 0, 1, 0, 2, 2, 1, 1, 4, 1, 1, 1, 3, 0, 0, 2, 3, 4, 1, 4, 2, 0, 1, 2, 2, 1, 2, 1, 4, 4, 0, 4, 2, 1, 2, 0, 1, 1, 3, 3, 1, 3, 2, 3, 3, 0, 2, 4, 3, 0, 1, 1, 0, 4, 2, 2, 0, 2, 4, 4, 0, 2, 1, 1, 3, 2, 3, 3, 2, 3, 3, 0, 0, 3, 3, 2, 1, 2, 2, 1, 4, 2, 0, 2, 0, 4, 1, 0, 3, 4, 2, 1, 4, 4, 0, 2, 4, 3, 3, 2, 1, 0, 3, 2, 1, 1, 0, 4, 1, 0, 2, 4, 3, 4, 0, 4, 4, 1, 3, 4, 4, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 4, 4, 2, 2, 0, 0, 0, 2, 3, 1, 2, 0, 1, 3, 3, 1, 4, 0, 3, 4, 3, 2, 4, 4, 2, 2, 4, 2, 1, 2, 4, 4, 4, 0, 1, 3, 0, 2, 1, 0, 3, 3, 2, 4, 0, 1, 4, 0, 1, 0, 3, 4, 0, 1, 2, 1, 1, 1, 0, 4, 2, 4, 1, 4, 2, 2, 2, 3, 3, 2, 2, 2, 1, 1, 4, 0, 1, 4, 2, 2, 2, 0, 4, 0, 3, 2, 0, 3, 0, 1, 0, 1, 3, 1, 1, 4, 1, 2, 4, 0, 0, 2, 2, 2, 3, 4, 2, 0, 2, 1, 4, 0, 0, 2, 2, 1, 2, 4, 4, 0, 2, 3, 1, 0, 2, 4, 0, 1, 0, 2, 1, 4, 2, 1, 1, 2, 3, 4, 2, 4, 1, 2, 3, 3, 4, 4, 3, 0, 2, 3, 3, 1, 3, 1, 3, 1, 2, 2, 3, 3, 1, 0, 4, 1, 0, 4, 3, 1, 4, 1, 0, 3, 4, 2, 1, 2, 0, 1, 1, 0]
pubkeycol1433 = [3, 1, 3, 3, 2, 4, 4, 2, 4, 0, 3, 1, 2, 1, 4, 1, 4, 2, 2, 4, 1, 0, 4, 3, 2, 4, 1, 3, 4, 1, 3, 4, 2, 0, 3, 4, 2, 2, 2, 4, 1, 0, 1, 2, 2, 2, 2, 4, 0, 3, 2, 0, 0, 0, 1, 1, 1, 3, 0, 4, 0, 1, 1, 0, 0, 0, 4, 1, 1, 3, 0, 2, 0, 2, 2, 2, 3, 4, 1, 0, 2, 4, 2, 4, 1, 0, 4, 3, 0, 1, 2, 2, 2, 2, 0, 2, 3, 0, 2, 4, 0, 0, 3, 3, 3, 1, 3, 1, 4, 2, 2, 4, 2, 4, 0, 0, 0, 0, 1, 1, 4, 1, 2, 2, 3, 4, 3, 2, 4, 0, 4, 0, 1, 1, 1, 0, 3, 3, 0, 2, 0, 4, 1, 2, 2, 2, 4, 2, 0, 2, 1, 4, 2, 3, 1, 1, 0, 0, 1, 4, 0, 1, 0, 0, 2, 2, 0, 0, 4, 0, 2, 1, 3, 0, 0, 4, 1, 1, 2, 0, 2, 1, 2, 0, 2, 3, 2, 3, 1, 3, 3, 4, 2, 3, 1, 3, 1, 2, 0, 1, 4, 1, 2, 1, 3, 0, 4, 4, 4, 4, 2, 3, 0, 0, 0, 3, 2, 1, 0, 4, 1, 1, 2, 4, 0, 2, 3, 4, 0, 4, 3, 0, 2, 1, 3, 3, 3, 3, 2, 3, 2, 3, 4, 4, 3, 3, 2, 3, 4, 2, 3, 3, 0, 0, 0, 1, 2, 0, 1, 0, 4, 2, 2, 3, 0, 4, 4, 0, 3, 3, 2, 0, 1, 2, 3, 2, 1, 4, 0, 2, 4, 0, 3, 2, 0, 2, 0, 2, 0, 2, 2, 1, 3, 4, 4, 3, 4, 4, 2, 2, 1, 2, 3, 0, 2, 0, 3, 0, 4, 0, 4, 3, 4, 2, 1, 0, 1, 3, 3, 0, 0, 3, 1, 3, 3, 1, 3, 3, 0, 3, 2, 4, 3, 1, 1, 1, 0, 3, 1, 0, 4, 2, 0, 3, 4, 3, 4, 1, 0, 2, 1, 4, 1, 4, 2, 1, 1, 2, 0, 3, 2, 0, 1, 1, 4, 3, 4, 1, 3, 0, 3, 2, 0, 2, 2, 1, 4, 2, 1, 0, 1, 3, 3, 4, 0, 4, 0, 0, 3, 2, 3, 2, 4, 3, 3, 0, 0, 3, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 3, 2, 4, 1, 4, 2, 3, 2, 3, 3, 0, 4, 4, 0, 3, 2, 1, 3, 1, 3, 0, 2, 1, 4, 2, 4, 4, 3, 0, 0, 1, 1, 4, 2, 1, 1, 2, 4, 1, 3, 4, 2, 3, 3, 3, 3, 1, 4, 4, 4, 4, 4, 2, 1, 1, 2, 0, 4, 4, 4, 1, 2, 0, 0, 2, 1, 2, 4, 1, 3, 1, 3, 0, 4, 1, 0, 2, 1, 1, 1, 4, 0, 3, 3, 1, 4, 0, 4, 1, 1, 2, 2, 0, 0, 3, 2, 2]
pubkeycol1434 = [4, 2, 0, 3, 1, 4, 3, 2, 3, 4, 2, 3, 3, 1, 3, 4, 2, 3, 2, 3, 1, 1, 2, 2, 4, 2, 2, 3, 1, 0, 1, 0, 1, 1, 4, 1, 3, 4, 0, 2, 2, 2, 3, 1, 4, 1, 3, 3, 4, 4, 1, 0, 2, 0, 3, 2, 0, 3, 4, 0, 0, 2, 3, 3, 1, 0, 4, 4, 4, 2, 3, 1, 2, 3, 3, 2, 1, 2, 1, 4, 4, 2, 3, 0, 0, 4, 0, 3, 1, 1, 0, 0, 4, 1, 3, 3, 4, 4, 2, 3, 3, 0, 3, 2, 0, 2, 0, 2, 4, 1, 0, 0, 3, 1, 0, 0, 2, 3, 0, 3, 1, 4, 1, 4, 4, 1, 2, 2, 4, 4, 1, 2, 1, 2, 2, 0, 4, 3, 0, 1, 1, 1, 0, 4, 1, 3, 2, 3, 2, 3, 1, 1, 2, 1, 2, 1, 0, 4, 1, 4, 4, 3, 2, 1, 2, 1, 0, 2, 2, 1, 4, 3, 1, 0, 2, 0, 3, 2, 3, 0, 1, 2, 1, 2, 1, 0, 1, 0, 4, 4, 2, 4, 3, 4, 0, 1, 0, 4, 0, 1, 1, 2, 1, 2, 1, 3, 4, 4, 1, 3, 1, 1, 3, 1, 2, 2, 0, 2, 2, 4, 4, 2, 0, 4, 3, 3, 0, 2, 1, 4, 3, 3, 2, 0, 0, 4, 4, 4, 2, 4, 4, 2, 3, 3, 2, 1, 0, 1, 3, 2, 1, 0, 4, 1, 1, 3, 4, 4, 2, 2, 1, 3, 0, 2, 1, 2, 2, 0, 1, 4, 0, 1, 3, 3, 2, 4, 4, 2, 1, 0, 0, 0, 4, 4, 4, 4, 3, 1, 2, 3, 4, 1, 3, 4, 4, 3, 1, 4, 4, 0, 1, 2, 4, 3, 2, 1, 3, 1, 0, 1, 2, 2, 1, 0, 3, 1, 4, 1, 0, 0, 3, 2, 1, 0, 4, 1, 1, 4, 1, 4, 4, 4, 2, 3, 4, 0, 3, 4, 3, 1, 3, 3, 4, 3, 0, 4, 3, 2, 1, 4, 4, 1, 4, 1, 3, 2, 4, 1, 0, 4, 3, 2, 4, 0, 2, 3, 4, 4, 4, 2, 3, 3, 0, 4, 0, 0, 4, 2, 1, 3, 2, 3, 2, 1, 4, 4, 3, 1, 4, 0, 3, 0, 1, 3, 3, 3, 1, 3, 2, 4, 0, 3, 4, 2, 3, 4, 0, 1, 4, 2, 3, 2, 0, 1, 2, 4, 2, 1, 2, 2, 0, 2, 1, 0, 4, 4, 4, 1, 2, 3, 0, 0, 0, 0, 3, 1, 2, 0, 2, 2, 4, 1, 2, 1, 1, 0, 4, 0, 1, 1, 3, 0, 4, 1, 4, 4, 4, 4, 3, 4, 4, 3, 0, 3, 1, 0, 4, 3, 1, 2, 1, 1, 0, 4, 0, 2, 1, 0, 4, 0, 0, 4, 4, 4, 3, 3, 2, 2, 1, 0, 4, 1, 3, 2, 0, 2, 1, 0, 4, 2, 0, 2, 2, 1, 4]
pubkeycol1435 = [4, 3, 4, 2, 2, 4, 1, 0, 1, 3, 0, 3, 1, 0, 2, 4, 2, 4, 4, 4, 1, 0, 1, 1, 0, 0, 3, 2, 4, 2, 3, 3, 1, 4, 2, 1, 3, 1, 1, 4, 3, 1, 3, 0, 3, 2, 0, 1, 0, 2, 1, 0, 0, 3, 3, 3, 2, 0, 3, 0, 3, 1, 3, 4, 2, 2, 2, 3, 0, 3, 2, 1, 4, 3, 1, 3, 4, 0, 3, 2, 3, 4, 3, 4, 4, 3, 2, 3, 4, 3, 3, 0, 2, 3, 2, 1, 1, 0, 2, 1, 4, 4, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 3, 0, 4, 3, 0, 4, 1, 1, 3, 4, 1, 0, 4, 4, 4, 4, 0, 4, 4, 2, 0, 3, 3, 1, 4, 2, 4, 4, 2, 1, 2, 3, 0, 1, 1, 1, 2, 3, 3, 3, 1, 3, 2, 4, 4, 3, 4, 4, 2, 3, 4, 0, 2, 1, 0, 4, 1, 1, 1, 1, 0, 3, 2, 3, 2, 4, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 3, 1, 4, 2, 0, 3, 2, 3, 0, 3, 0, 1, 0, 0, 4, 4, 4, 1, 1, 0, 1, 4, 1, 1, 1, 4, 1, 0, 1, 1, 1, 1, 3, 2, 1, 0, 2, 3, 0, 3, 3, 1, 4, 3, 2, 2, 2, 3, 3, 4, 1, 4, 3, 1, 3, 3, 2, 4, 1, 3, 2, 3, 3, 3, 4, 0, 2, 4, 2, 1, 1, 3, 3, 0, 2, 1, 3, 1, 3, 4, 4, 4, 3, 1, 3, 0, 0, 0, 2, 4, 4, 1, 0, 1, 3, 1, 0, 2, 0, 2, 3, 3, 0, 1, 3, 2, 3, 2, 0, 2, 4, 3, 3, 4, 3, 3, 2, 1, 3, 3, 3, 0, 4, 0, 2, 0, 4, 2, 0, 0, 0, 0, 2, 1, 4, 0, 3, 2, 0, 3, 1, 4, 4, 1, 1, 2, 3, 1, 0, 1, 1, 3, 4, 3, 2, 4, 4, 0, 2, 1, 0, 2, 1, 2, 1, 1, 4, 4, 0, 3, 4, 0, 0, 0, 3, 0, 0, 3, 2, 0, 0, 1, 3, 1, 2, 3, 2, 2, 4, 0, 2, 0, 2, 3, 1, 0, 1, 3, 0, 3, 3, 2, 3, 3, 2, 3, 3, 4, 0, 1, 0, 1, 2, 4, 1, 1, 4, 1, 3, 0, 1, 1, 1, 2, 3, 3, 2, 4, 2, 3, 1, 1, 3, 0, 1, 1, 3, 1, 4, 0, 3, 1, 3, 1, 0, 3, 0, 0, 0, 0, 2, 0, 1, 4, 4, 4, 3, 2, 4, 3, 0, 2, 1, 3, 2, 2, 0, 1, 3, 1, 0, 1, 2, 2, 0, 3, 0, 4, 0, 2, 1, 2, 0, 2, 2, 3, 3, 3, 4, 1, 0, 3, 2, 3, 1, 1, 2, 2, 1, 3, 3, 1, 0, 3, 0, 3, 4, 0, 1, 4, 4, 0, 2, 4, 0]
pubkeycol1436 = [2, 0, 2, 4, 1, 1, 0, 3, 0, 4, 2, 4, 1, 4, 3, 3, 3, 2, 2, 2, 4, 0, 3, 2, 1, 0, 0, 4, 4, 1, 4, 4, 1, 2, 3, 1, 4, 3, 0, 4, 2, 1, 3, 4, 4, 0, 2, 0, 4, 4, 4, 2, 2, 0, 0, 4, 4, 2, 2, 4, 0, 0, 0, 2, 3, 1, 3, 4, 3, 0, 1, 3, 3, 2, 4, 2, 3, 4, 0, 3, 2, 4, 0, 2, 4, 0, 3, 4, 1, 0, 1, 0, 4, 2, 4, 2, 3, 0, 0, 4, 4, 0, 3, 4, 0, 3, 0, 0, 3, 4, 1, 1, 0, 2, 1, 2, 2, 1, 4, 1, 4, 2, 2, 4, 2, 1, 0, 4, 2, 2, 4, 0, 3, 0, 0, 4, 2, 1, 4, 0, 1, 4, 1, 4, 3, 0, 1, 4, 0, 1, 1, 4, 1, 4, 3, 3, 3, 0, 1, 3, 0, 1, 1, 0, 3, 0, 3, 4, 4, 2, 2, 2, 2, 1, 3, 1, 4, 2, 0, 1, 3, 2, 2, 0, 1, 2, 0, 4, 4, 1, 2, 0, 2, 3, 1, 3, 2, 0, 0, 4, 4, 4, 3, 1, 4, 1, 2, 0, 1, 0, 1, 0, 0, 3, 2, 0, 3, 4, 4, 0, 2, 1, 1, 3, 4, 2, 2, 1, 3, 2, 1, 4, 2, 4, 2, 4, 4, 1, 0, 3, 3, 4, 4, 1, 4, 2, 2, 4, 0, 3, 0, 0, 4, 3, 0, 3, 3, 4, 2, 1, 2, 2, 1, 2, 0, 3, 4, 2, 0, 4, 2, 2, 3, 1, 3, 4, 0, 3, 4, 0, 2, 4, 1, 3, 1, 2, 1, 0, 3, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 4, 0, 0, 2, 0, 2, 0, 1, 3, 2, 3, 0, 4, 0, 1, 3, 4, 1, 0, 1, 1, 3, 1, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 3, 3, 2, 4, 2, 1, 4, 2, 3, 0, 0, 1, 0, 3, 1, 3, 4, 4, 3, 1, 4, 0, 4, 1, 1, 0, 1, 0, 0, 4, 2, 2, 4, 2, 3, 1, 3, 4, 4, 1, 2, 0, 1, 4, 0, 1, 0, 4, 4, 1, 1, 3, 1, 1, 1, 1, 3, 3, 4, 1, 4, 2, 4, 2, 1, 3, 3, 0, 3, 0, 0, 4, 3, 2, 3, 0, 1, 2, 0, 2, 3, 1, 1, 3, 3, 4, 0, 3, 2, 2, 4, 3, 1, 3, 4, 2, 2, 3, 0, 1, 2, 4, 0, 1, 2, 0, 0, 1, 3, 4, 3, 2, 1, 4, 0, 2, 3, 1, 2, 1, 3, 3, 3, 3, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 4, 1, 0, 1, 4, 1, 4, 2, 3, 2, 2, 2, 0, 0, 2, 0, 4, 3, 3, 0, 2, 0, 4, 4, 1, 4, 0, 3, 1, 0, 2, 3, 3, 2, 0]
pubkeycol1437 = [3, 1, 1, 1, 3, 0, 1, 1, 3, 3, 0, 0, 3, 3, 2, 1, 2, 2, 1, 1, 3, 0, 2, 4, 4, 2, 0, 2, 4, 2, 1, 0, 3, 1, 0, 0, 3, 0, 1, 3, 2, 0, 4, 0, 0, 3, 0, 0, 4, 4, 4, 0, 0, 0, 1, 3, 2, 3, 3, 4, 4, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 4, 4, 1, 4, 0, 3, 4, 1, 1, 1, 0, 3, 2, 0, 2, 1, 4, 1, 3, 3, 4, 1, 2, 4, 2, 2, 1, 1, 3, 3, 0, 2, 3, 2, 3, 2, 0, 2, 2, 3, 2, 3, 2, 0, 2, 0, 4, 1, 0, 2, 0, 0, 3, 1, 0, 0, 4, 1, 3, 3, 2, 3, 4, 4, 1, 2, 4, 0, 1, 3, 2, 1, 0, 4, 0, 1, 3, 0, 0, 0, 1, 3, 4, 4, 4, 4, 3, 3, 2, 2, 4, 2, 3, 0, 0, 1, 3, 3, 4, 2, 4, 3, 0, 4, 1, 1, 3, 0, 3, 4, 0, 3, 2, 1, 2, 2, 4, 3, 2, 4, 2, 2, 0, 4, 1, 3, 0, 3, 0, 0, 0, 2, 1, 2, 3, 3, 0, 1, 4, 3, 0, 0, 4, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 3, 2, 0, 4, 2, 2, 0, 4, 4, 3, 3, 2, 0, 4, 1, 3, 2, 1, 0, 1, 3, 0, 1, 0, 4, 2, 1, 4, 3, 1, 0, 0, 1, 3, 3, 2, 2, 1, 2, 4, 3, 4, 3, 0, 0, 1, 1, 2, 4, 4, 0, 4, 1, 1, 1, 4, 2, 0, 2, 3, 3, 4, 1, 3, 2, 0, 3, 0, 4, 2, 4, 0, 1, 0, 0, 4, 4, 2, 3, 1, 2, 3, 3, 3, 4, 0, 3, 0, 2, 3, 3, 4, 0, 2, 3, 1, 0, 1, 4, 1, 4, 1, 3, 3, 0, 4, 2, 3, 2, 4, 2, 1, 2, 1, 1, 3, 4, 3, 3, 1, 1, 1, 4, 1, 1, 3, 3, 2, 2, 4, 2, 1, 0, 4, 2, 2, 3, 0, 4, 1, 3, 4, 2, 2, 0, 4, 2, 3, 2, 1, 1, 4, 3, 1, 1, 3, 2, 2, 1, 0, 1, 0, 3, 2, 3, 0, 3, 0, 1, 0, 2, 2, 4, 3, 2, 2, 3, 1, 4, 3, 0, 3, 3, 0, 0, 1, 3, 4, 2, 1, 1, 2, 1, 4, 0, 2, 1, 3, 0, 4, 2, 1, 3, 3, 0, 2, 3, 3, 1, 0, 2, 4, 3, 1, 0, 3, 2, 1, 3, 1, 1, 1, 3, 1, 4, 1, 4, 4, 1, 4, 2, 2, 2, 1, 0, 2, 0, 2, 3, 0, 1, 1, 4, 3, 0, 1, 1, 0, 4, 3, 3, 2, 3, 1, 1, 4, 4, 4, 4, 0, 2, 4, 3, 2, 3, 4, 4, 4, 2, 4, 0, 3, 0, 4, 4, 3, 2, 1]
pubkeycol1438 = [1, 2, 1, 4, 2, 0, 0, 0, 1, 4, 3, 4, 0, 0, 3, 3, 3, 2, 1, 0, 0, 4, 1, 3, 4, 0, 2, 3, 4, 4, 3, 4, 1, 4, 1, 4, 4, 1, 3, 4, 2, 4, 1, 3, 4, 0, 0, 1, 1, 1, 0, 1, 4, 0, 2, 0, 0, 0, 2, 3, 4, 0, 2, 3, 1, 3, 3, 4, 0, 3, 2, 0, 0, 4, 0, 3, 1, 1, 2, 3, 4, 2, 0, 2, 4, 3, 2, 4, 1, 4, 0, 3, 0, 3, 4, 4, 0, 0, 3, 3, 4, 1, 4, 2, 0, 2, 1, 3, 2, 4, 0, 2, 4, 4, 1, 4, 2, 4, 0, 3, 3, 2, 3, 4, 2, 1, 1, 2, 4, 2, 1, 1, 0, 3, 4, 2, 3, 3, 0, 0, 2, 4, 3, 1, 0, 0, 4, 1, 1, 4, 3, 2, 0, 3, 4, 0, 1, 2, 1, 1, 0, 2, 1, 4, 3, 4, 2, 0, 2, 4, 4, 1, 4, 1, 1, 0, 1, 3, 2, 4, 2, 0, 0, 3, 0, 4, 3, 4, 3, 3, 4, 2, 1, 3, 4, 4, 4, 4, 1, 0, 2, 4, 1, 1, 1, 4, 4, 3, 2, 2, 4, 4, 4, 0, 3, 0, 2, 4, 2, 2, 3, 0, 1, 1, 1, 3, 2, 3, 4, 3, 4, 2, 1, 2, 0, 2, 4, 4, 2, 0, 1, 0, 1, 0, 3, 1, 2, 1, 2, 4, 1, 1, 0, 4, 3, 0, 4, 0, 2, 2, 4, 3, 4, 2, 2, 2, 4, 2, 3, 3, 4, 4, 3, 2, 4, 3, 0, 0, 3, 3, 0, 3, 4, 3, 2, 2, 4, 1, 1, 3, 0, 0, 2, 1, 2, 4, 2, 3, 3, 1, 3, 2, 4, 1, 2, 3, 4, 1, 0, 1, 4, 2, 1, 0, 4, 1, 3, 2, 1, 1, 4, 3, 1, 1, 2, 4, 2, 2, 3, 3, 3, 3, 2, 3, 2, 0, 1, 1, 1, 4, 0, 4, 0, 4, 0, 1, 1, 2, 4, 2, 3, 2, 2, 3, 1, 4, 1, 2, 1, 0, 3, 2, 0, 3, 1, 3, 2, 2, 2, 0, 4, 4, 1, 2, 0, 0, 2, 0, 4, 0, 3, 1, 3, 3, 3, 1, 3, 4, 3, 4, 3, 3, 1, 0, 4, 1, 0, 0, 0, 1, 0, 3, 3, 2, 1, 1, 3, 3, 2, 2, 0, 3, 4, 4, 0, 3, 0, 2, 4, 1, 3, 1, 2, 0, 2, 3, 3, 4, 4, 3, 3, 4, 1, 3, 3, 0, 2, 2, 3, 1, 0, 2, 2, 2, 4, 3, 4, 2, 2, 0, 4, 4, 1, 2, 2, 1, 0, 3, 2, 2, 4, 1, 3, 1, 0, 2, 0, 3, 0, 4, 3, 3, 3, 2, 0, 0, 2, 1, 0, 3, 3, 2, 3, 4, 0, 3, 4, 0, 1, 2, 0, 3, 3, 0, 1, 2, 2, 4, 0, 0, 4, 4, 3, 1, 1]
pubkeycol1439 = [2, 3, 2, 3, 2, 1, 1, 1, 4, 1, 3, 3, 3, 4, 3, 1, 2, 3, 0, 2, 2, 1, 2, 4, 1, 4, 3, 4, 4, 2, 2, 1, 2, 0, 3, 2, 2, 1, 1, 0, 2, 3, 0, 3, 1, 2, 4, 0, 3, 0, 4, 1, 1, 4, 2, 0, 4, 2, 4, 0, 4, 1, 1, 3, 4, 4, 1, 3, 1, 0, 0, 2, 3, 1, 4, 4, 0, 3, 2, 4, 4, 3, 1, 1, 3, 1, 0, 2, 4, 0, 4, 3, 2, 2, 0, 4, 3, 0, 2, 2, 3, 0, 1, 0, 3, 3, 2, 4, 3, 0, 4, 2, 1, 2, 4, 0, 0, 1, 2, 4, 3, 0, 3, 0, 1, 0, 1, 2, 4, 1, 0, 3, 0, 0, 1, 2, 3, 3, 1, 4, 1, 1, 1, 4, 0, 1, 2, 3, 1, 4, 4, 0, 2, 2, 0, 0, 3, 2, 2, 3, 0, 4, 1, 0, 3, 2, 3, 3, 0, 0, 0, 2, 2, 1, 2, 1, 2, 3, 0, 1, 4, 4, 4, 1, 4, 1, 2, 0, 4, 3, 2, 2, 3, 1, 0, 2, 3, 2, 0, 1, 4, 4, 4, 3, 3, 0, 2, 3, 2, 4, 1, 4, 0, 0, 3, 1, 0, 1, 4, 2, 3, 1, 0, 0, 1, 4, 1, 3, 2, 1, 3, 2, 4, 3, 3, 3, 2, 2, 0, 2, 4, 2, 4, 1, 0, 3, 1, 3, 0, 4, 2, 2, 0, 1, 0, 4, 2, 3, 2, 3, 4, 3, 1, 4, 3, 0, 3, 0, 0, 2, 0, 3, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 3, 2, 1, 3, 3, 0, 1, 0, 1, 1, 3, 0, 4, 3, 0, 0, 1, 1, 0, 0, 2, 3, 1, 4, 2, 0, 3, 4, 1, 4, 2, 4, 2, 0, 3, 0, 2, 0, 3, 3, 4, 3, 4, 2, 4, 0, 4, 3, 0, 0, 4, 2, 4, 1, 0, 3, 3, 3, 4, 2, 2, 1, 0, 2, 2, 3, 3, 3, 3, 1, 0, 4, 4, 2, 2, 1, 4, 1, 4, 1, 0, 1, 1, 4, 0, 2, 2, 1, 3, 2, 3, 4, 1, 0, 0, 2, 1, 3, 0, 3, 0, 0, 3, 3, 1, 3, 3, 4, 2, 4, 1, 3, 3, 3, 2, 0, 0, 3, 2, 3, 0, 3, 4, 1, 3, 2, 2, 2, 3, 3, 3, 1, 4, 2, 3, 3, 0, 4, 3, 1, 4, 0, 0, 3, 0, 0, 4, 0, 0, 1, 2, 1, 0, 2, 4, 1, 1, 3, 3, 1, 4, 2, 3, 4, 0, 1, 0, 3, 0, 3, 3, 4, 3, 0, 1, 3, 1, 2, 0, 4, 3, 2, 4, 4, 3, 1, 3, 3, 0, 4, 1, 0, 4, 4, 3, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 3, 4, 0, 0, 1, 3, 1, 3, 4, 1, 1, 4, 0]
pubkeycol1440 = [0, 0, 1, 4, 2, 3, 1, 4, 3, 0, 4, 4, 2, 0, 3, 4, 3, 4, 1, 2, 3, 1, 2, 0, 0, 4, 4, 2, 4, 4, 3, 4, 0, 4, 4, 3, 2, 4, 4, 2, 4, 3, 0, 3, 4, 0, 0, 1, 1, 2, 1, 3, 1, 0, 4, 0, 3, 4, 0, 2, 2, 3, 3, 0, 2, 0, 3, 0, 3, 2, 4, 1, 1, 0, 3, 2, 3, 0, 1, 3, 0, 0, 3, 0, 3, 4, 4, 2, 2, 4, 0, 2, 0, 4, 1, 0, 0, 2, 1, 4, 4, 0, 3, 0, 1, 1, 3, 4, 2, 4, 0, 1, 3, 2, 0, 2, 0, 2, 2, 1, 2, 4, 3, 0, 3, 0, 3, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 4, 0, 3, 2, 3, 2, 1, 1, 0, 0, 0, 0, 3, 3, 3, 1, 3, 1, 4, 1, 2, 4, 1, 4, 2, 4, 4, 3, 4, 3, 0, 4, 4, 3, 4, 0, 1, 4, 1, 4, 2, 3, 3, 4, 2, 2, 0, 0, 0, 3, 4, 1, 2, 3, 3, 1, 4, 0, 3, 3, 1, 3, 0, 3, 4, 0, 4, 0, 3, 0, 4, 1, 3, 4, 4, 1, 4, 3, 4, 4, 3, 0, 0, 2, 1, 1, 1, 0, 3, 0, 2, 1, 3, 4, 4, 4, 1, 4, 3, 3, 3, 0, 1, 2, 4, 2, 0, 3, 4, 2, 4, 1, 2, 0, 3, 2, 1, 1, 0, 3, 1, 1, 0, 4, 0, 4, 2, 3, 4, 0, 0, 4, 0, 1, 0, 0, 2, 2, 2, 4, 2, 1, 3, 4, 2, 3, 2, 0, 1, 3, 3, 4, 1, 1, 0, 2, 1, 2, 4, 4, 1, 0, 0, 2, 1, 4, 0, 4, 1, 1, 4, 1, 2, 4, 0, 3, 3, 3, 2, 0, 0, 4, 1, 1, 0, 1, 1, 1, 1, 4, 2, 0, 2, 1, 3, 0, 2, 4, 0, 3, 3, 1, 3, 2, 4, 0, 3, 4, 0, 0, 3, 4, 1, 3, 0, 1, 0, 1, 0, 2, 1, 2, 4, 3, 3, 2, 2, 0, 3, 0, 2, 0, 3, 2, 0, 0, 0, 1, 1, 1, 2, 0, 4, 0, 0, 4, 1, 1, 3, 0, 4, 0, 3, 1, 1, 3, 1, 3, 3, 3, 2, 0, 3, 0, 4, 1, 3, 3, 3, 1, 4, 1, 3, 0, 3, 2, 0, 3, 3, 1, 4, 4, 4, 1, 1, 2, 0, 4, 2, 4, 3, 2, 3, 3, 1, 2, 3, 3, 3, 1, 0, 1, 3, 0, 3, 2, 2, 4, 0, 0, 4, 0, 0, 1, 4, 0, 2, 2, 2, 4, 1, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 3, 2, 1, 4, 3, 2, 0, 4, 3, 0, 3, 0, 3, 0, 4, 3, 3, 0, 0, 1, 3, 0, 3, 4, 4, 4, 2, 0]
pubkeycol1441 = [4, 2, 0, 2, 2, 1, 1, 3, 4, 3, 0, 1, 4, 3, 1, 4, 2, 4, 3, 4, 4, 4, 2, 4, 0, 3, 2, 2, 2, 4, 1, 0, 1, 0, 3, 4, 3, 0, 4, 4, 0, 1, 1, 1, 3, 2, 3, 2, 0, 0, 4, 1, 0, 2, 1, 4, 2, 1, 2, 4, 3, 4, 3, 0, 0, 1, 1, 3, 2, 4, 3, 3, 0, 2, 2, 2, 4, 1, 1, 4, 1, 2, 0, 3, 1, 0, 2, 1, 2, 3, 1, 1, 0, 0, 2, 3, 2, 4, 0, 4, 2, 0, 3, 1, 0, 2, 2, 4, 4, 4, 1, 0, 1, 0, 1, 1, 0, 1, 3, 2, 1, 2, 3, 4, 0, 0, 0, 4, 2, 1, 0, 1, 2, 3, 3, 2, 0, 0, 3, 0, 1, 0, 2, 1, 3, 4, 2, 4, 2, 3, 0, 2, 4, 4, 0, 4, 2, 3, 3, 0, 4, 0, 0, 1, 1, 4, 4, 4, 0, 0, 2, 1, 1, 1, 0, 4, 2, 0, 3, 4, 4, 3, 2, 0, 4, 1, 3, 4, 2, 1, 1, 1, 2, 3, 3, 0, 3, 2, 4, 1, 1, 1, 4, 0, 3, 3, 3, 0, 1, 3, 2, 1, 4, 3, 0, 4, 1, 3, 2, 3, 3, 2, 3, 4, 3, 3, 4, 3, 2, 0, 1, 3, 0, 3, 3, 0, 3, 4, 3, 1, 4, 4, 3, 0, 1, 4, 1, 4, 0, 0, 0, 4, 1, 3, 1, 0, 0, 2, 4, 1, 1, 4, 1, 4, 1, 0, 0, 2, 3, 4, 0, 2, 2, 1, 1, 2, 0, 3, 1, 3, 3, 2, 4, 3, 1, 0, 1, 2, 3, 1, 4, 4, 1, 1, 1, 0, 4, 3, 0, 2, 1, 1, 3, 1, 1, 1, 4, 2, 3, 0, 4, 0, 3, 4, 4, 2, 0, 1, 2, 2, 1, 1, 1, 3, 2, 3, 1, 0, 1, 3, 2, 1, 3, 4, 2, 3, 0, 1, 4, 0, 2, 2, 1, 4, 2, 4, 3, 0, 2, 3, 3, 1, 4, 2, 2, 3, 1, 3, 1, 3, 3, 4, 0, 0, 3, 1, 2, 4, 3, 3, 0, 4, 0, 3, 0, 1, 1, 0, 3, 3, 1, 2, 2, 4, 2, 3, 3, 1, 1, 2, 0, 3, 2, 3, 1, 1, 3, 2, 2, 2, 4, 3, 1, 2, 2, 1, 1, 1, 2, 4, 0, 1, 4, 0, 2, 1, 0, 3, 4, 2, 4, 2, 2, 4, 1, 3, 4, 2, 4, 4, 4, 2, 3, 2, 1, 2, 2, 3, 4, 3, 1, 2, 4, 4, 4, 3, 1, 0, 4, 1, 4, 2, 0, 2, 0, 4, 3, 4, 3, 0, 0, 4, 3, 3, 0, 4, 4, 1, 3, 0, 1, 0, 0, 4, 0, 0, 4, 4, 3, 0, 3, 4, 0, 3, 3, 4, 4, 0, 4, 1, 0, 0, 4, 3, 0, 0, 0, 1, 2, 4, 3, 0, 3, 4, 3]
pubkeycol1442 = [4, 0, 2, 2, 4, 4, 3, 4, 2, 0, 4, 4, 3, 2, 3, 4, 4, 4, 3, 3, 3, 0, 4, 2, 4, 2, 4, 3, 1, 0, 4, 3, 4, 3, 1, 2, 1, 0, 3, 3, 0, 2, 1, 2, 0, 3, 1, 2, 2, 0, 3, 0, 3, 4, 3, 1, 3, 4, 4, 3, 1, 2, 0, 1, 4, 3, 4, 1, 2, 0, 1, 2, 0, 3, 3, 2, 2, 1, 2, 1, 3, 0, 1, 0, 0, 3, 3, 1, 3, 1, 2, 0, 2, 3, 3, 2, 3, 0, 2, 0, 2, 4, 2, 4, 3, 2, 1, 4, 4, 2, 4, 1, 3, 1, 2, 0, 1, 0, 2, 3, 4, 4, 3, 1, 2, 0, 3, 3, 4, 3, 4, 3, 2, 3, 0, 2, 2, 1, 0, 3, 1, 0, 3, 3, 3, 0, 3, 4, 4, 2, 3, 2, 4, 4, 4, 3, 2, 0, 2, 0, 4, 0, 4, 2, 3, 4, 2, 4, 3, 1, 0, 1, 1, 0, 4, 4, 4, 1, 3, 4, 0, 4, 1, 1, 3, 2, 3, 2, 2, 0, 4, 2, 1, 1, 3, 3, 4, 4, 1, 2, 3, 1, 3, 0, 3, 3, 3, 4, 3, 1, 0, 1, 1, 0, 1, 3, 0, 1, 2, 4, 4, 2, 2, 1, 0, 0, 4, 0, 3, 4, 3, 4, 4, 0, 3, 1, 2, 4, 1, 1, 2, 1, 3, 2, 3, 2, 3, 0, 0, 1, 3, 2, 4, 3, 0, 3, 2, 1, 0, 0, 1, 0, 4, 3, 3, 4, 2, 2, 3, 4, 0, 1, 4, 1, 3, 1, 2, 2, 3, 3, 3, 4, 0, 1, 1, 0, 1, 0, 0, 3, 4, 2, 1, 0, 2, 0, 3, 2, 4, 2, 1, 2, 1, 3, 2, 2, 4, 1, 0, 1, 3, 0, 3, 3, 0, 4, 1, 3, 3, 3, 3, 3, 4, 2, 4, 3, 0, 2, 1, 0, 2, 2, 1, 1, 2, 4, 3, 3, 3, 0, 3, 2, 2, 3, 4, 0, 3, 4, 2, 2, 3, 1, 2, 3, 2, 4, 1, 3, 2, 4, 2, 4, 3, 0, 0, 3, 1, 1, 2, 4, 1, 2, 3, 4, 4, 4, 4, 2, 1, 2, 2, 1, 2, 3, 0, 1, 3, 0, 2, 2, 2, 1, 2, 4, 4, 3, 1, 2, 3, 2, 4, 4, 2, 1, 4, 1, 3, 3, 0, 3, 1, 3, 4, 4, 3, 1, 4, 4, 4, 1, 1, 1, 3, 2, 1, 1, 3, 0, 3, 4, 3, 4, 3, 2, 3, 0, 4, 2, 2, 1, 1, 0, 0, 1, 4, 1, 1, 2, 3, 3, 3, 1, 4, 4, 2, 3, 1, 2, 2, 3, 2, 1, 0, 1, 2, 0, 0, 3, 0, 3, 3, 1, 0, 1, 1, 4, 1, 2, 3, 1, 1, 4, 0, 3, 1, 2, 4, 2, 0, 2, 4, 0, 1, 4, 0, 2, 0, 1, 0, 4, 1, 1, 1, 3, 3]
pubkeycol1443 = [0, 4, 1, 1, 3, 2, 4, 1, 3, 4, 4, 2, 0, 4, 3, 3, 2, 1, 3, 3, 1, 3, 1, 2, 0, 0, 1, 1, 3, 0, 0, 0, 0, 3, 1, 1, 3, 0, 3, 3, 0, 3, 3, 1, 2, 3, 0, 3, 0, 0, 0, 3, 0, 4, 0, 0, 0, 4, 3, 3, 0, 2, 4, 3, 0, 4, 2, 1, 1, 4, 3, 4, 0, 1, 3, 2, 1, 4, 4, 4, 4, 4, 1, 2, 4, 4, 2, 2, 4, 4, 3, 4, 4, 4, 4, 2, 3, 0, 1, 4, 0, 4, 0, 2, 2, 2, 1, 2, 3, 1, 1, 0, 3, 2, 4, 2, 3, 1, 3, 2, 0, 3, 1, 2, 4, 2, 1, 4, 2, 4, 0, 1, 4, 0, 3, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 3, 4, 4, 2, 4, 0, 1, 2, 0, 1, 4, 1, 3, 1, 3, 1, 2, 3, 2, 1, 2, 3, 1, 4, 0, 4, 4, 0, 1, 2, 3, 4, 3, 2, 4, 0, 2, 1, 3, 4, 1, 4, 1, 1, 4, 4, 4, 0, 3, 0, 1, 1, 4, 2, 3, 4, 4, 1, 0, 3, 0, 1, 2, 2, 3, 4, 3, 1, 0, 2, 3, 4, 1, 1, 0, 2, 0, 1, 1, 4, 4, 2, 0, 3, 0, 1, 2, 1, 2, 2, 2, 3, 4, 1, 2, 3, 1, 2, 4, 1, 0, 4, 3, 2, 2, 3, 3, 4, 2, 0, 2, 1, 1, 1, 1, 0, 4, 1, 1, 1, 4, 3, 3, 4, 4, 0, 2, 0, 2, 2, 1, 4, 2, 0, 4, 3, 1, 3, 4, 3, 1, 4, 3, 0, 1, 0, 0, 3, 1, 3, 4, 1, 4, 4, 4, 3, 2, 0, 2, 0, 4, 1, 2, 2, 4, 2, 1, 4, 0, 1, 2, 4, 4, 1, 4, 0, 1, 1, 2, 3, 0, 0, 1, 4, 3, 1, 1, 3, 3, 0, 3, 3, 4, 0, 4, 1, 0, 3, 3, 3, 4, 3, 4, 4, 3, 4, 3, 1, 3, 4, 1, 0, 0, 3, 4, 3, 3, 1, 2, 1, 1, 3, 4, 3, 0, 3, 2, 2, 4, 3, 0, 0, 3, 1, 1, 2, 4, 2, 1, 4, 1, 1, 3, 4, 2, 4, 0, 1, 3, 0, 4, 4, 2, 3, 4, 3, 3, 3, 1, 1, 0, 1, 4, 1, 0, 2, 3, 1, 2, 2, 3, 2, 3, 3, 0, 2, 2, 4, 0, 2, 3, 0, 4, 1, 3, 4, 3, 1, 3, 0, 3, 4, 4, 3, 4, 4, 3, 1, 1, 0, 1, 2, 0, 4, 4, 0, 0, 4, 1, 0, 0, 4, 4, 2, 0, 1, 3, 4, 0, 2, 0, 2, 4, 2, 2, 3, 0, 1, 2, 1, 1, 0, 1, 2, 3, 4, 4, 0, 3, 2, 1, 4, 2, 4, 4, 0, 4, 3, 1, 0, 0, 4, 1, 2, 2, 3, 1, 0, 0, 4]
pubkeycol1444 = [1, 3, 2, 3, 4, 0, 3, 3, 1, 1, 4, 0, 2, 1, 0, 4, 1, 0, 4, 2, 2, 4, 3, 3, 0, 1, 3, 3, 2, 1, 1, 2, 4, 0, 2, 3, 3, 2, 0, 1, 3, 0, 3, 1, 2, 3, 1, 1, 2, 0, 2, 4, 3, 3, 3, 4, 3, 3, 4, 0, 2, 1, 4, 2, 2, 4, 0, 4, 1, 1, 2, 3, 4, 2, 1, 3, 2, 4, 2, 4, 3, 3, 2, 1, 3, 3, 1, 3, 3, 3, 0, 0, 3, 0, 3, 1, 0, 3, 4, 2, 4, 2, 4, 4, 4, 0, 4, 2, 2, 2, 2, 4, 1, 2, 4, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 4, 0, 4, 1, 0, 0, 3, 0, 0, 4, 4, 0, 1, 3, 4, 1, 1, 0, 1, 3, 0, 4, 4, 4, 4, 1, 1, 1, 2, 4, 3, 0, 2, 1, 2, 4, 1, 4, 1, 1, 3, 0, 3, 4, 1, 0, 1, 2, 3, 1, 2, 0, 4, 1, 4, 0, 2, 2, 1, 2, 1, 4, 2, 0, 3, 1, 1, 0, 4, 4, 1, 2, 4, 1, 4, 2, 0, 4, 1, 0, 0, 4, 2, 3, 2, 0, 0, 0, 3, 3, 2, 0, 2, 4, 2, 1, 3, 3, 2, 3, 1, 2, 4, 2, 0, 3, 4, 2, 3, 1, 2, 1, 1, 4, 0, 2, 1, 0, 2, 3, 0, 4, 0, 1, 1, 4, 4, 2, 0, 0, 0, 3, 4, 0, 3, 2, 0, 0, 2, 0, 1, 4, 3, 3, 2, 4, 4, 2, 1, 3, 1, 4, 4, 3, 4, 2, 3, 0, 4, 1, 3, 3, 0, 3, 2, 0, 3, 4, 2, 3, 0, 3, 3, 0, 3, 1, 1, 3, 1, 4, 1, 0, 1, 2, 0, 2, 1, 0, 1, 4, 3, 1, 2, 3, 1, 1, 3, 1, 1, 0, 4, 4, 4, 2, 4, 4, 3, 2, 4, 1, 4, 0, 2, 2, 4, 2, 1, 0, 4, 4, 1, 1, 3, 2, 2, 1, 4, 3, 3, 3, 0, 2, 3, 0, 0, 4, 3, 3, 2, 3, 1, 3, 1, 4, 1, 1, 2, 1, 2, 0, 0, 1, 3, 4, 0, 2, 1, 4, 4, 2, 2, 2, 0, 2, 3, 1, 0, 3, 3, 0, 4, 0, 1, 0, 4, 2, 3, 2, 2, 0, 4, 2, 2, 1, 0, 4, 2, 0, 2, 3, 2, 3, 1, 2, 1, 3, 3, 3, 3, 0, 0, 2, 4, 0, 0, 4, 0, 3, 4, 3, 4, 3, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 3, 1, 1, 1, 2, 3, 3, 4, 1, 0, 1, 4, 2, 4, 2, 3, 0, 2, 2, 3, 4, 1, 4, 2, 0, 3, 2, 4, 2, 4, 0, 3, 4, 4, 1, 4, 1, 3, 4, 2, 1, 0, 4, 2, 0, 0, 2, 0, 4, 4, 2, 3, 3, 0, 3, 1, 4, 4]
pubkeycol1445 = [4, 3, 3, 2, 4, 1, 1, 3, 4, 4, 2, 1, 1, 1, 0, 0, 2, 0, 4, 0, 1, 1, 3, 3, 4, 3, 3, 4, 1, 2, 1, 1, 3, 4, 3, 4, 2, 1, 1, 3, 4, 4, 1, 4, 4, 3, 4, 2, 0, 0, 3, 4, 4, 3, 3, 3, 3, 4, 3, 1, 3, 3, 1, 4, 4, 2, 1, 3, 4, 3, 3, 3, 0, 1, 1, 4, 3, 3, 2, 3, 1, 2, 1, 2, 3, 0, 2, 3, 1, 3, 3, 1, 2, 2, 4, 0, 4, 2, 1, 4, 1, 0, 3, 4, 2, 4, 0, 2, 3, 3, 4, 4, 1, 3, 4, 2, 0, 3, 2, 1, 4, 2, 3, 1, 4, 3, 3, 2, 1, 3, 4, 4, 0, 0, 4, 1, 0, 1, 1, 3, 2, 2, 2, 2, 2, 3, 0, 3, 3, 3, 3, 3, 3, 4, 3, 2, 1, 0, 1, 2, 1, 1, 0, 4, 1, 0, 2, 2, 3, 2, 0, 4, 3, 0, 1, 1, 0, 0, 0, 3, 2, 1, 0, 1, 1, 3, 0, 2, 3, 2, 0, 2, 3, 3, 3, 3, 0, 4, 0, 4, 3, 0, 4, 2, 4, 0, 2, 1, 0, 2, 4, 4, 1, 3, 0, 3, 3, 0, 3, 2, 3, 1, 1, 3, 0, 1, 2, 3, 4, 1, 1, 3, 3, 2, 2, 3, 1, 2, 4, 0, 1, 2, 2, 4, 4, 3, 4, 1, 1, 2, 2, 0, 3, 2, 0, 3, 1, 0, 3, 3, 0, 3, 3, 3, 1, 4, 1, 0, 3, 3, 3, 2, 3, 3, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 3, 4, 4, 3, 2, 1, 0, 1, 3, 2, 4, 3, 2, 4, 1, 2, 2, 4, 2, 0, 1, 2, 1, 1, 4, 2, 0, 1, 1, 4, 1, 0, 1, 1, 4, 2, 2, 0, 0, 3, 0, 3, 0, 4, 2, 0, 3, 1, 4, 1, 1, 2, 4, 3, 0, 2, 4, 1, 4, 2, 3, 4, 2, 3, 2, 1, 0, 1, 0, 4, 2, 0, 3, 2, 3, 2, 1, 4, 0, 1, 0, 3, 1, 2, 4, 4, 0, 2, 3, 2, 4, 1, 0, 1, 0, 2, 1, 0, 0, 4, 2, 2, 0, 1, 2, 2, 3, 4, 3, 1, 2, 2, 0, 2, 2, 4, 2, 4, 1, 4, 3, 0, 2, 2, 2, 0, 4, 2, 4, 2, 4, 2, 2, 3, 1, 1, 3, 0, 4, 4, 4, 1, 2, 3, 3, 3, 2, 2, 4, 0, 3, 0, 0, 1, 3, 4, 3, 3, 1, 2, 2, 4, 1, 3, 3, 3, 4, 2, 0, 0, 4, 0, 2, 0, 0, 4, 0, 3, 0, 3, 4, 3, 3, 1, 0, 2, 3, 4, 3, 0, 3, 1, 2, 2, 3, 4, 2, 2, 2, 0, 4, 4, 2, 0, 2, 0, 2, 3, 4, 2, 4, 0, 1, 1, 2, 1, 2, 0, 3, 2]
pubkeycol1446 = [3, 4, 3, 2, 2, 0, 4, 3, 2, 0, 1, 2, 1, 4, 1, 3, 2, 1, 1, 0, 4, 4, 1, 2, 0, 0, 3, 1, 4, 2, 0, 2, 0, 4, 2, 2, 0, 0, 0, 1, 1, 0, 1, 4, 3, 1, 4, 1, 0, 1, 4, 0, 0, 2, 3, 0, 3, 2, 1, 0, 2, 0, 4, 1, 4, 0, 0, 0, 3, 3, 1, 2, 4, 4, 4, 3, 0, 1, 4, 1, 1, 2, 2, 2, 0, 0, 3, 2, 1, 0, 1, 2, 1, 1, 4, 1, 4, 1, 0, 4, 0, 0, 0, 4, 0, 4, 4, 0, 1, 1, 0, 4, 1, 4, 1, 2, 4, 4, 1, 0, 3, 0, 1, 0, 3, 1, 3, 1, 0, 1, 2, 1, 4, 4, 3, 0, 4, 3, 1, 0, 3, 2, 4, 0, 0, 2, 1, 2, 1, 4, 0, 0, 2, 4, 2, 0, 1, 4, 4, 2, 3, 1, 3, 1, 2, 0, 2, 0, 4, 3, 1, 3, 3, 0, 3, 4, 3, 0, 4, 0, 0, 2, 1, 0, 1, 0, 0, 3, 0, 1, 2, 3, 0, 2, 1, 2, 2, 4, 3, 1, 1, 2, 3, 2, 3, 4, 2, 4, 4, 4, 0, 0, 1, 4, 3, 2, 0, 0, 0, 0, 2, 3, 3, 1, 3, 0, 1, 0, 4, 3, 2, 0, 4, 4, 1, 3, 2, 4, 2, 1, 2, 3, 0, 3, 2, 3, 1, 2, 3, 4, 2, 2, 2, 2, 0, 0, 4, 0, 3, 0, 4, 3, 2, 4, 0, 2, 0, 4, 3, 3, 1, 0, 4, 1, 0, 4, 2, 3, 4, 4, 2, 2, 4, 4, 3, 0, 3, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 4, 2, 2, 4, 0, 2, 1, 2, 4, 2, 0, 2, 2, 3, 0, 3, 2, 4, 1, 1, 0, 2, 2, 2, 4, 2, 4, 2, 4, 1, 0, 0, 0, 1, 2, 3, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 3, 0, 2, 0, 3, 4, 4, 1, 3, 2, 2, 3, 0, 0, 2, 0, 4, 1, 0, 0, 2, 3, 1, 4, 2, 4, 2, 2, 0, 2, 2, 1, 0, 3, 1, 1, 4, 4, 4, 4, 0, 0, 4, 4, 2, 0, 3, 1, 0, 0, 2, 0, 0, 4, 3, 1, 3, 3, 1, 4, 0, 0, 1, 0, 2, 3, 2, 1, 0, 3, 2, 3, 2, 4, 1, 1, 4, 3, 3, 0, 4, 3, 1, 0, 2, 1, 1, 3, 3, 3, 0, 2, 3, 2, 0, 2, 0, 3, 2, 0, 4, 2, 0, 2, 4, 0, 0, 3, 0, 2, 1, 1, 0, 0, 0, 4, 2, 4, 3, 1, 4, 4, 1, 1, 3, 3, 1, 1, 4, 1, 3, 1, 2, 0, 4, 0, 1, 0, 4, 1, 4, 0, 4, 4, 3, 0, 4, 4, 3, 4, 3, 1, 2, 0, 0, 3, 4, 1]
pubkeycol1447 = [2, 3, 3, 0, 0, 4, 2, 1, 3, 2, 4, 1, 4, 2, 0, 4, 3, 4, 0, 0, 1, 1, 0, 3, 1, 3, 2, 4, 1, 4, 0, 3, 2, 4, 1, 0, 1, 1, 4, 2, 2, 1, 1, 4, 2, 1, 4, 2, 3, 2, 4, 1, 0, 4, 4, 4, 3, 0, 3, 1, 4, 2, 1, 0, 4, 3, 4, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 4, 3, 4, 3, 0, 0, 0, 3, 3, 4, 0, 1, 2, 0, 1, 4, 0, 4, 3, 1, 3, 0, 3, 0, 0, 3, 2, 0, 4, 3, 0, 0, 0, 1, 0, 1, 1, 4, 1, 0, 4, 4, 3, 3, 2, 4, 1, 3, 3, 4, 2, 1, 0, 4, 3, 2, 4, 4, 0, 0, 3, 1, 3, 3, 1, 0, 2, 2, 3, 4, 2, 1, 0, 2, 2, 3, 0, 1, 2, 4, 2, 2, 2, 4, 1, 4, 2, 1, 2, 3, 2, 3, 4, 1, 1, 1, 3, 1, 0, 4, 0, 2, 3, 1, 2, 2, 3, 1, 1, 2, 3, 2, 3, 1, 4, 2, 4, 1, 3, 0, 2, 1, 0, 3, 3, 2, 2, 2, 4, 0, 2, 3, 1, 1, 4, 2, 2, 1, 4, 2, 2, 1, 3, 4, 1, 0, 2, 3, 2, 4, 3, 1, 2, 3, 1, 3, 4, 4, 2, 2, 4, 0, 1, 1, 3, 3, 3, 0, 2, 2, 2, 3, 2, 3, 1, 4, 3, 2, 4, 1, 1, 0, 3, 2, 4, 3, 4, 1, 4, 1, 4, 0, 2, 2, 2, 3, 3, 0, 2, 0, 1, 1, 3, 4, 0, 3, 4, 4, 3, 0, 2, 3, 2, 3, 2, 2, 2, 4, 2, 0, 2, 2, 2, 2, 4, 0, 1, 4, 3, 0, 0, 1, 1, 2, 2, 0, 3, 1, 2, 2, 0, 0, 1, 4, 0, 3, 2, 1, 2, 0, 1, 4, 2, 4, 1, 0, 0, 1, 3, 3, 1, 1, 2, 2, 0, 3, 2, 0, 1, 2, 4, 1, 4, 2, 4, 3, 0, 2, 2, 0, 4, 2, 2, 2, 1, 3, 3, 4, 4, 1, 3, 2, 4, 2, 4, 1, 1, 4, 3, 1, 3, 0, 4, 3, 4, 4, 3, 1, 1, 4, 1, 2, 3, 1, 2, 1, 1, 2, 3, 3, 2, 2, 1, 0, 4, 2, 0, 1, 0, 1, 0, 2, 1, 3, 4, 2, 3, 0, 0, 4, 4, 3, 1, 1, 0, 4, 1, 3, 0, 3, 1, 2, 2, 2, 0, 3, 3, 3, 1, 3, 1, 0, 3, 4, 3, 4, 1, 1, 1, 0, 0, 3, 2, 0, 1, 4, 4, 3, 3, 3, 1, 1, 2, 0, 2, 1, 1, 0, 2, 3, 1, 0, 1, 0, 4, 1, 4, 2, 0, 2, 4, 2, 2, 0, 1, 0, 2, 3, 3, 1, 0, 3, 0, 0, 0, 2, 4, 0, 2, 0, 1, 0, 4, 0, 4, 1, 2, 0]
pubkeycol1448 = [3, 2, 1, 1, 4, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 4, 1, 3, 1, 1, 2, 0, 1, 3, 4, 4, 0, 0, 0, 3, 4, 3, 1, 0, 3, 2, 3, 0, 0, 1, 2, 4, 0, 0, 4, 0, 0, 3, 0, 4, 0, 2, 4, 2, 2, 1, 0, 2, 4, 2, 4, 4, 0, 1, 4, 3, 0, 2, 0, 3, 4, 1, 0, 0, 2, 1, 3, 0, 4, 0, 1, 4, 3, 2, 0, 1, 1, 0, 3, 4, 4, 3, 0, 3, 1, 2, 1, 0, 2, 2, 1, 3, 0, 2, 0, 1, 1, 2, 3, 3, 0, 1, 0, 4, 2, 4, 1, 0, 0, 1, 4, 4, 0, 3, 3, 0, 4, 2, 3, 3, 1, 0, 2, 4, 1, 0, 2, 2, 0, 3, 2, 1, 1, 1, 2, 0, 4, 1, 2, 2, 3, 0, 2, 2, 2, 1, 0, 1, 3, 0, 3, 4, 0, 1, 4, 4, 2, 2, 1, 4, 4, 2, 4, 1, 4, 0, 3, 0, 0, 4, 0, 2, 2, 1, 1, 1, 3, 0, 1, 0, 3, 1, 0, 0, 2, 3, 3, 3, 2, 1, 0, 0, 0, 2, 4, 4, 1, 1, 1, 3, 3, 0, 3, 2, 4, 2, 3, 0, 2, 0, 2, 2, 1, 1, 3, 0, 2, 4, 0, 2, 1, 4, 3, 2, 1, 2, 4, 3, 3, 4, 1, 2, 3, 4, 4, 2, 2, 2, 2, 4, 0, 2, 3, 3, 1, 2, 0, 3, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 3, 3, 4, 2, 4, 1, 4, 0, 3, 0, 4, 2, 1, 2, 2, 1, 1, 2, 0, 0, 4, 2, 1, 3, 1, 4, 0, 3, 2, 3, 0, 1, 3, 2, 0, 1, 1, 4, 4, 3, 2, 2, 2, 1, 3, 0, 3, 4, 0, 4, 3, 2, 1, 1, 2, 0, 4, 2, 1, 4, 1, 1, 2, 0, 4, 4, 4, 0, 4, 0, 2, 4, 0, 4, 2, 0, 4, 0, 2, 2, 2, 3, 3, 2, 3, 4, 4, 4, 4, 0, 2, 2, 0, 3, 4, 1, 1, 1, 0, 2, 2, 2, 4, 2, 3, 2, 3, 2, 2, 0, 0, 1, 4, 3, 3, 2, 1, 2, 0, 2, 0, 2, 0, 3, 0, 2, 0, 2, 2, 0, 1, 4, 4, 0, 0, 4, 3, 0, 2, 2, 1, 2, 0, 3, 4, 0, 3, 2, 2, 2, 2, 4, 2, 3, 4, 0, 2, 4, 4, 1, 2, 4, 2, 0, 2, 1, 2, 2, 2, 0, 4, 2, 4, 3, 4, 2, 2, 3, 0, 1, 0, 2, 3, 4, 0, 2, 4, 3, 0, 2, 2, 0, 4, 0, 1, 2, 3, 2, 4, 0, 4, 2, 4, 1, 0, 4, 2, 2, 3, 4, 1, 3, 4, 4, 1, 2, 4, 3, 4, 0, 2, 2, 1, 1, 3, 4, 4, 3, 4, 3, 1, 2, 0, 0, 3, 0, 1]
pubkeycol1449 = [3, 4, 1, 2, 1, 2, 3, 1, 1, 3, 0, 4, 2, 4, 2, 2, 3, 2, 2, 0, 0, 1, 1, 3, 0, 4, 1, 1, 3, 2, 1, 4, 0, 3, 0, 2, 0, 0, 4, 2, 3, 1, 4, 4, 1, 0, 3, 2, 1, 3, 0, 1, 2, 0, 4, 2, 4, 1, 3, 1, 4, 2, 3, 3, 4, 3, 1, 3, 0, 2, 0, 3, 4, 3, 3, 4, 2, 3, 2, 2, 4, 1, 1, 4, 0, 0, 0, 0, 1, 3, 2, 4, 1, 0, 2, 2, 4, 3, 1, 2, 1, 2, 1, 2, 0, 4, 2, 2, 1, 2, 3, 0, 1, 0, 4, 3, 3, 3, 0, 2, 3, 1, 2, 3, 2, 1, 3, 4, 4, 0, 1, 2, 2, 4, 2, 3, 4, 2, 3, 2, 4, 1, 1, 2, 1, 4, 3, 0, 1, 3, 2, 3, 3, 1, 0, 1, 4, 0, 3, 2, 1, 0, 0, 4, 1, 3, 2, 3, 0, 0, 4, 0, 3, 2, 1, 0, 4, 4, 4, 2, 4, 4, 0, 2, 0, 1, 4, 1, 0, 0, 4, 1, 2, 0, 3, 4, 3, 2, 2, 2, 3, 1, 2, 4, 2, 0, 2, 1, 2, 0, 0, 3, 3, 0, 4, 1, 0, 0, 0, 2, 2, 2, 1, 2, 4, 4, 2, 1, 1, 1, 2, 4, 2, 1, 3, 2, 1, 4, 1, 1, 2, 4, 4, 2, 4, 4, 1, 1, 4, 1, 1, 3, 4, 0, 4, 1, 2, 2, 4, 4, 4, 0, 4, 1, 2, 4, 2, 0, 4, 4, 3, 4, 2, 0, 4, 2, 4, 3, 1, 3, 3, 2, 4, 4, 0, 1, 3, 3, 4, 1, 3, 4, 4, 2, 0, 1, 4, 0, 4, 2, 1, 0, 0, 4, 1, 1, 1, 0, 0, 2, 2, 4, 0, 1, 4, 2, 2, 4, 4, 1, 3, 4, 3, 2, 1, 2, 0, 1, 3, 2, 4, 4, 2, 2, 2, 1, 4, 1, 0, 4, 3, 2, 4, 3, 0, 0, 2, 0, 2, 0, 3, 1, 3, 2, 3, 0, 0, 4, 1, 4, 0, 1, 0, 2, 4, 3, 3, 4, 0, 4, 4, 2, 3, 3, 4, 2, 1, 1, 4, 3, 0, 1, 2, 4, 3, 3, 3, 1, 0, 2, 2, 3, 3, 3, 2, 3, 0, 2, 4, 1, 4, 0, 1, 0, 2, 2, 0, 4, 0, 1, 2, 4, 2, 4, 3, 4, 1, 4, 4, 4, 3, 0, 3, 2, 1, 3, 3, 1, 3, 0, 4, 2, 4, 2, 2, 4, 3, 3, 4, 1, 2, 1, 0, 4, 1, 1, 1, 0, 1, 2, 4, 4, 4, 2, 1, 1, 1, 3, 1, 0, 3, 0, 3, 3, 4, 3, 0, 3, 2, 1, 1, 4, 4, 0, 4, 2, 4, 4, 4, 2, 2, 1, 1, 2, 3, 0, 2, 2, 1, 1, 3, 1, 4, 2, 2, 2, 2, 3, 0, 2, 4, 3, 4, 1, 3]
pubkeycol1450 = [1, 2, 2, 1, 3, 4, 2, 0, 2, 1, 0, 2, 0, 0, 0, 3, 0, 0, 3, 0, 0, 1, 3, 2, 4, 3, 1, 3, 4, 1, 0, 4, 3, 4, 0, 0, 2, 4, 2, 4, 2, 2, 4, 3, 0, 2, 1, 0, 1, 0, 4, 2, 3, 3, 4, 2, 4, 4, 0, 0, 3, 0, 3, 0, 2, 0, 0, 4, 1, 1, 0, 3, 1, 0, 4, 2, 2, 2, 3, 0, 0, 3, 3, 2, 3, 4, 4, 0, 1, 3, 2, 1, 1, 1, 1, 1, 3, 1, 0, 4, 4, 1, 0, 1, 4, 1, 2, 4, 1, 3, 0, 2, 3, 0, 2, 3, 2, 3, 3, 0, 4, 0, 3, 3, 4, 0, 3, 4, 3, 1, 0, 4, 0, 2, 2, 2, 2, 3, 4, 0, 2, 0, 1, 3, 2, 4, 1, 4, 1, 0, 4, 0, 1, 3, 2, 1, 4, 0, 4, 3, 0, 0, 3, 3, 1, 1, 1, 0, 2, 2, 2, 1, 4, 1, 2, 0, 2, 4, 4, 3, 2, 0, 3, 1, 2, 0, 2, 2, 0, 3, 4, 2, 0, 0, 4, 2, 1, 0, 2, 3, 3, 4, 0, 3, 2, 2, 1, 0, 2, 1, 2, 4, 0, 0, 1, 4, 1, 2, 1, 1, 1, 3, 2, 4, 3, 1, 1, 3, 2, 4, 1, 0, 3, 2, 4, 0, 2, 0, 0, 3, 0, 4, 3, 2, 0, 1, 2, 3, 3, 0, 4, 4, 1, 2, 3, 4, 0, 1, 2, 2, 2, 3, 4, 0, 1, 4, 1, 4, 1, 0, 4, 1, 3, 0, 1, 3, 2, 1, 2, 0, 2, 4, 0, 0, 2, 0, 1, 3, 3, 3, 2, 1, 1, 1, 2, 1, 4, 4, 0, 2, 0, 2, 0, 2, 4, 1, 0, 2, 3, 4, 1, 3, 2, 4, 1, 2, 2, 3, 0, 2, 1, 4, 2, 3, 1, 0, 1, 2, 2, 0, 0, 4, 4, 4, 3, 3, 3, 4, 1, 0, 2, 2, 1, 0, 2, 1, 0, 4, 3, 4, 2, 3, 1, 2, 2, 2, 0, 4, 4, 0, 1, 1, 0, 3, 2, 4, 2, 4, 2, 2, 3, 3, 3, 2, 1, 3, 0, 4, 1, 0, 1, 3, 1, 1, 3, 3, 3, 0, 3, 0, 2, 1, 1, 3, 2, 4, 4, 3, 1, 0, 0, 3, 3, 4, 2, 2, 4, 1, 1, 0, 1, 0, 0, 4, 1, 3, 0, 2, 4, 3, 3, 4, 1, 4, 0, 3, 2, 1, 1, 1, 3, 2, 2, 2, 3, 0, 2, 3, 4, 1, 2, 4, 0, 4, 4, 1, 4, 3, 4, 2, 3, 2, 4, 4, 2, 0, 2, 1, 3, 0, 1, 3, 3, 3, 0, 0, 2, 1, 4, 3, 1, 3, 4, 0, 2, 2, 1, 0, 1, 1, 2, 2, 4, 0, 2, 0, 1, 2, 2, 3, 2, 2, 0, 1, 2, 3, 0, 0, 2, 4, 1, 0, 2, 2, 2]
pubkeycol1451 = [4, 3, 0, 2, 4, 0, 4, 2, 3, 0, 0, 2, 2, 4, 0, 2, 3, 4, 2, 1, 2, 4, 3, 2, 4, 0, 1, 0, 2, 3, 0, 3, 4, 4, 4, 3, 2, 1, 2, 3, 3, 4, 3, 3, 0, 0, 0, 2, 1, 0, 0, 4, 3, 3, 2, 4, 0, 0, 0, 0, 0, 0, 4, 1, 0, 1, 4, 4, 2, 4, 2, 0, 1, 4, 4, 1, 3, 2, 4, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 4, 4, 4, 0, 2, 4, 1, 4, 2, 0, 4, 4, 2, 4, 4, 0, 0, 3, 0, 4, 2, 2, 1, 4, 4, 1, 1, 2, 2, 2, 2, 4, 3, 4, 0, 0, 4, 0, 4, 0, 2, 1, 2, 2, 0, 3, 3, 3, 2, 0, 4, 4, 4, 1, 0, 3, 4, 2, 0, 2, 0, 0, 1, 4, 1, 4, 2, 3, 2, 3, 4, 2, 3, 1, 4, 0, 2, 3, 0, 2, 2, 3, 4, 1, 3, 1, 0, 4, 0, 0, 2, 1, 2, 1, 2, 1, 1, 3, 3, 3, 3, 0, 4, 4, 3, 3, 0, 3, 4, 4, 2, 1, 4, 1, 1, 3, 1, 1, 1, 4, 1, 2, 1, 3, 2, 2, 3, 2, 0, 3, 3, 0, 0, 3, 0, 4, 0, 1, 4, 3, 0, 1, 1, 2, 4, 2, 1, 4, 1, 1, 0, 0, 4, 1, 4, 2, 0, 4, 3, 0, 1, 4, 2, 4, 2, 3, 4, 2, 2, 1, 3, 0, 0, 1, 2, 2, 2, 2, 4, 3, 4, 2, 2, 0, 0, 0, 2, 1, 3, 0, 1, 2, 3, 4, 1, 4, 4, 4, 3, 4, 0, 0, 0, 1, 3, 3, 3, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 3, 0, 4, 1, 0, 1, 2, 1, 0, 4, 2, 3, 4, 3, 1, 4, 2, 1, 2, 2, 2, 4, 1, 4, 1, 4, 1, 4, 4, 4, 2, 1, 3, 0, 0, 2, 3, 4, 2, 3, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 4, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 3, 3, 2, 0, 2, 2, 4, 2, 4, 1, 2, 4, 3, 2, 4, 2, 4, 3, 0, 2, 2, 1, 2, 2, 3, 3, 2, 1, 4, 1, 3, 3, 0, 0, 1, 4, 2, 2, 3, 2, 2, 1, 3, 3, 0, 2, 4, 1, 3, 0, 0, 0, 3, 2, 3, 3, 3, 4, 3, 4, 2, 4, 3, 1, 2, 0, 0, 3, 0, 1, 4, 3, 2, 3, 4, 1, 2, 4, 3, 4, 3, 0, 4, 4, 3, 0, 3, 2, 3, 4, 4, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 4, 1, 4, 2, 4, 2, 4, 3, 2, 2, 4, 2, 1, 0, 4, 2, 4, 4, 3, 3, 4, 3, 1, 3, 2, 4, 3, 2, 3, 4, 1]
pubkeycol1452 = [4, 3, 0, 0, 0, 4, 2, 2, 0, 0, 1, 1, 0, 3, 4, 2, 3, 2, 4, 4, 2, 2, 0, 0, 0, 4, 1, 3, 0, 4, 4, 3, 1, 2, 3, 4, 1, 2, 3, 2, 4, 3, 1, 3, 3, 1, 3, 1, 1, 1, 3, 2, 0, 2, 4, 0, 4, 3, 0, 4, 1, 4, 0, 4, 2, 2, 3, 3, 4, 4, 2, 0, 2, 0, 3, 2, 2, 3, 3, 4, 2, 2, 2, 0, 1, 1, 4, 3, 3, 1, 0, 1, 3, 3, 1, 4, 2, 4, 3, 2, 3, 4, 1, 3, 4, 2, 3, 3, 3, 3, 2, 2, 3, 1, 1, 1, 1, 4, 4, 4, 0, 2, 0, 4, 4, 1, 1, 0, 0, 3, 0, 4, 3, 1, 4, 4, 2, 3, 1, 3, 3, 0, 3, 4, 1, 4, 3, 4, 2, 4, 2, 1, 2, 3, 3, 2, 3, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 3, 3, 4, 0, 3, 4, 2, 3, 2, 0, 0, 2, 0, 0, 3, 0, 1, 2, 4, 1, 4, 3, 2, 0, 4, 4, 3, 3, 1, 0, 1, 2, 4, 0, 0, 2, 1, 2, 0, 1, 1, 4, 4, 2, 1, 0, 2, 3, 0, 3, 4, 4, 0, 3, 2, 4, 1, 3, 0, 1, 4, 3, 3, 1, 1, 3, 3, 2, 0, 0, 2, 4, 4, 2, 3, 0, 4, 1, 1, 3, 0, 2, 1, 3, 2, 1, 2, 0, 2, 0, 4, 0, 1, 3, 3, 3, 2, 2, 1, 1, 4, 1, 3, 3, 1, 4, 3, 0, 3, 1, 4, 2, 1, 4, 3, 2, 0, 1, 2, 3, 1, 4, 0, 2, 1, 3, 4, 0, 3, 1, 0, 1, 3, 4, 3, 2, 0, 2, 4, 3, 4, 2, 1, 3, 3, 2, 1, 0, 4, 1, 0, 3, 0, 2, 4, 1, 4, 0, 2, 0, 4, 3, 4, 0, 2, 0, 2, 2, 4, 1, 0, 2, 3, 0, 3, 3, 0, 3, 3, 2, 2, 2, 1, 2, 2, 2, 1, 4, 2, 1, 0, 3, 3, 1, 1, 4, 2, 1, 4, 0, 4, 4, 1, 2, 2, 0, 2, 1, 1, 1, 0, 4, 4, 1, 4, 2, 4, 4, 1, 4, 2, 0, 3, 4, 1, 4, 3, 2, 4, 1, 0, 4, 2, 3, 3, 3, 2, 3, 3, 2, 3, 1, 3, 4, 4, 4, 2, 2, 0, 2, 2, 3, 1, 4, 2, 0, 1, 3, 4, 0, 3, 0, 4, 0, 3, 1, 0, 2, 1, 4, 4, 0, 4, 1, 2, 0, 2, 1, 0, 2, 0, 3, 1, 1, 3, 1, 3, 4, 1, 4, 4, 3, 4, 3, 1, 3, 3, 3, 0, 3, 0, 4, 3, 1, 4, 2, 3, 3, 4, 2, 1, 3, 1, 4, 2, 0, 2, 0, 3, 1, 3, 4, 2, 1, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 1, 3, 4]
pubkeycol1453 = [4, 3, 2, 1, 2, 0, 4, 1, 1, 0, 2, 0, 1, 1, 3, 2, 0, 0, 1, 2, 0, 3, 1, 3, 4, 4, 3, 0, 4, 0, 2, 3, 1, 0, 4, 0, 1, 1, 0, 4, 2, 2, 4, 3, 2, 3, 0, 0, 4, 1, 2, 3, 2, 1, 2, 0, 1, 1, 2, 4, 1, 2, 2, 3, 0, 1, 3, 2, 2, 2, 0, 2, 2, 3, 3, 1, 2, 3, 4, 3, 4, 4, 3, 2, 0, 2, 3, 2, 0, 1, 2, 2, 0, 0, 1, 1, 4, 4, 3, 2, 1, 4, 4, 4, 4, 2, 3, 4, 3, 4, 0, 0, 3, 1, 1, 0, 1, 1, 1, 3, 3, 0, 1, 3, 0, 1, 1, 3, 0, 0, 0, 4, 4, 2, 2, 4, 0, 1, 2, 0, 3, 0, 2, 2, 2, 0, 1, 0, 3, 1, 2, 4, 1, 3, 4, 3, 3, 1, 2, 4, 3, 2, 4, 1, 2, 3, 2, 4, 3, 4, 3, 4, 1, 3, 0, 4, 3, 3, 0, 3, 2, 2, 1, 4, 4, 4, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 3, 0, 3, 4, 2, 3, 2, 4, 3, 4, 2, 1, 4, 2, 4, 4, 4, 1, 4, 1, 1, 3, 4, 3, 4, 4, 0, 4, 0, 0, 2, 1, 4, 2, 3, 4, 0, 3, 1, 1, 1, 3, 4, 0, 2, 0, 1, 0, 0, 2, 3, 2, 1, 4, 2, 2, 3, 2, 0, 3, 1, 1, 2, 2, 2, 0, 0, 2, 4, 3, 2, 2, 4, 3, 0, 0, 2, 0, 1, 3, 3, 3, 4, 0, 0, 4, 2, 3, 4, 0, 1, 0, 4, 0, 4, 0, 3, 0, 4, 4, 1, 2, 1, 2, 1, 2, 2, 4, 3, 2, 3, 2, 1, 3, 1, 0, 4, 4, 2, 4, 1, 3, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 3, 3, 1, 4, 1, 3, 3, 1, 1, 3, 3, 4, 0, 1, 4, 0, 3, 0, 2, 2, 0, 0, 0, 3, 1, 1, 3, 3, 4, 1, 3, 2, 0, 4, 4, 4, 1, 1, 0, 3, 0, 1, 3, 2, 0, 3, 0, 1, 2, 3, 0, 1, 3, 4, 0, 4, 2, 2, 4, 4, 2, 4, 4, 3, 4, 4, 0, 0, 3, 3, 3, 0, 0, 4, 0, 4, 2, 2, 4, 2, 0, 3, 3, 1, 1, 2, 2, 0, 1, 4, 2, 2, 3, 2, 0, 2, 2, 3, 0, 0, 4, 3, 3, 2, 3, 1, 0, 0, 2, 4, 2, 0, 3, 3, 3, 0, 0, 2, 0, 0, 2, 4, 4, 3, 0, 1, 2, 0, 2, 2, 1, 3, 0, 0, 4, 2, 3, 3, 3, 2, 3, 2, 1, 3, 1, 1, 3, 2, 2, 3, 0, 0, 0, 4, 4, 1, 4, 0, 1, 4, 4, 1, 4, 1, 3, 4, 0, 1, 4, 0, 1, 0, 4, 1, 4]
pubkeycol1454 = [0, 4, 4, 3, 0, 1, 3, 4, 1, 0, 4, 2, 4, 0, 1, 4, 1, 4, 0, 2, 3, 1, 3, 0, 4, 4, 2, 2, 0, 0, 4, 1, 4, 1, 1, 2, 0, 2, 0, 4, 4, 4, 4, 1, 2, 1, 2, 4, 4, 0, 0, 0, 4, 0, 2, 3, 1, 0, 1, 0, 4, 3, 1, 2, 4, 4, 3, 3, 4, 1, 2, 1, 0, 2, 1, 0, 4, 0, 0, 0, 1, 3, 2, 4, 2, 2, 0, 0, 2, 0, 1, 0, 4, 2, 3, 1, 4, 0, 3, 2, 4, 3, 4, 4, 2, 1, 4, 1, 4, 0, 0, 3, 4, 3, 0, 1, 2, 4, 2, 2, 3, 4, 3, 0, 2, 2, 3, 2, 0, 0, 3, 4, 0, 2, 1, 2, 4, 2, 2, 1, 0, 0, 3, 4, 0, 4, 3, 2, 4, 3, 1, 3, 2, 4, 1, 4, 3, 2, 1, 1, 2, 0, 1, 4, 1, 4, 2, 2, 1, 2, 0, 2, 1, 0, 3, 3, 3, 2, 2, 3, 1, 1, 3, 1, 1, 2, 2, 0, 0, 0, 1, 3, 3, 1, 2, 1, 3, 4, 0, 1, 4, 4, 1, 2, 1, 4, 3, 1, 4, 1, 0, 4, 2, 4, 2, 3, 3, 3, 1, 4, 2, 3, 3, 2, 4, 1, 4, 1, 1, 3, 0, 1, 1, 3, 3, 0, 3, 1, 0, 0, 2, 0, 1, 3, 0, 1, 1, 1, 2, 2, 4, 2, 4, 4, 1, 4, 1, 0, 3, 4, 1, 2, 0, 4, 0, 2, 2, 3, 2, 1, 4, 2, 4, 0, 2, 1, 0, 2, 0, 4, 1, 1, 1, 1, 2, 3, 1, 0, 0, 0, 0, 1, 3, 1, 4, 1, 1, 2, 4, 4, 4, 2, 4, 2, 3, 4, 3, 3, 4, 4, 4, 2, 1, 3, 3, 3, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 3, 3, 3, 3, 1, 4, 0, 4, 4, 2, 0, 1, 0, 4, 1, 0, 2, 0, 2, 2, 3, 0, 4, 3, 2, 3, 3, 4, 0, 2, 1, 4, 2, 4, 2, 4, 3, 3, 3, 2, 4, 0, 4, 3, 4, 3, 1, 2, 3, 0, 1, 4, 3, 0, 3, 4, 0, 2, 0, 0, 2, 2, 4, 0, 3, 3, 2, 3, 4, 1, 1, 0, 2, 0, 1, 2, 4, 3, 1, 1, 1, 4, 1, 3, 4, 1, 3, 2, 0, 4, 2, 1, 2, 1, 4, 4, 2, 2, 0, 0, 4, 0, 2, 3, 4, 0, 3, 4, 1, 1, 0, 4, 0, 0, 1, 1, 4, 4, 1, 0, 3, 0, 0, 2, 4, 4, 4, 2, 4, 3, 1, 1, 1, 1, 2, 2, 1, 2, 3, 3, 4, 0, 4, 2, 1, 2, 3, 3, 0, 1, 0, 2, 0, 3, 1, 1, 2, 1, 1, 2, 2, 2, 0, 3, 0, 3, 1, 0, 4, 4, 2, 4, 0, 0, 0, 4, 1, 0]
pubkeycol1455 = [1, 1, 0, 2, 4, 4, 0, 3, 3, 1, 0, 4, 3, 3, 2, 3, 1, 1, 4, 0, 3, 4, 4, 2, 0, 1, 0, 1, 4, 1, 3, 0, 4, 1, 0, 0, 4, 3, 0, 0, 0, 1, 0, 0, 2, 3, 1, 4, 4, 0, 2, 2, 3, 4, 2, 1, 4, 0, 3, 1, 1, 0, 2, 1, 3, 2, 4, 2, 2, 1, 4, 4, 1, 2, 2, 3, 1, 4, 1, 2, 3, 0, 1, 1, 1, 1, 3, 4, 0, 4, 4, 2, 0, 3, 4, 4, 3, 3, 4, 1, 2, 1, 4, 3, 2, 0, 4, 2, 1, 1, 3, 0, 0, 3, 0, 3, 1, 0, 2, 0, 4, 2, 4, 2, 4, 3, 1, 2, 0, 2, 1, 4, 2, 2, 0, 1, 3, 0, 4, 1, 2, 4, 2, 4, 4, 2, 3, 1, 1, 0, 4, 1, 1, 2, 2, 3, 0, 1, 0, 3, 0, 1, 1, 4, 3, 4, 2, 4, 1, 2, 1, 1, 4, 4, 0, 2, 1, 0, 0, 3, 2, 3, 1, 1, 3, 2, 2, 3, 2, 0, 1, 3, 4, 4, 3, 0, 4, 3, 1, 1, 0, 1, 1, 2, 3, 0, 2, 2, 3, 2, 1, 4, 4, 0, 4, 2, 4, 0, 3, 4, 0, 1, 4, 2, 0, 3, 1, 3, 1, 0, 1, 2, 3, 3, 4, 4, 0, 4, 0, 0, 1, 0, 3, 2, 0, 4, 2, 1, 3, 0, 2, 3, 1, 0, 0, 4, 4, 2, 4, 1, 3, 3, 1, 0, 3, 3, 4, 4, 2, 1, 4, 3, 4, 0, 0, 2, 2, 4, 4, 3, 4, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 3, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 4, 0, 1, 0, 4, 3, 4, 3, 0, 3, 2, 4, 3, 3, 1, 3, 1, 1, 1, 3, 4, 2, 0, 0, 1, 3, 3, 3, 0, 4, 0, 4, 3, 2, 3, 3, 4, 2, 3, 3, 2, 4, 3, 1, 1, 2, 2, 1, 0, 2, 3, 2, 4, 4, 4, 3, 4, 0, 4, 1, 2, 3, 0, 4, 1, 1, 4, 0, 4, 0, 1, 3, 3, 3, 2, 2, 2, 3, 2, 1, 4, 4, 1, 0, 4, 0, 4, 2, 3, 4, 3, 4, 2, 1, 0, 4, 0, 4, 2, 1, 0, 4, 1, 0, 2, 2, 3, 0, 4, 2, 4, 4, 4, 0, 3, 2, 2, 3, 4, 4, 3, 2, 3, 4, 3, 0, 3, 1, 0, 0, 4, 4, 3, 4, 0, 4, 4, 4, 1, 4, 1, 1, 1, 3, 3, 3, 2, 4, 2, 3, 2, 0, 3, 3, 3, 2, 1, 2, 2, 2, 0, 3, 3, 0, 1, 1, 1, 3, 4, 0, 2, 1, 3, 1, 2, 3, 3, 4, 0, 3, 2, 3, 4, 1, 1, 0, 0, 1, 2, 0, 0, 0, 3, 3, 3, 1, 1, 4, 0, 3, 0, 1, 2]
pubkeycol1456 = [2, 4, 0, 0, 2, 1, 4, 3, 1, 1, 1, 4, 4, 4, 1, 3, 1, 2, 2, 1, 0, 2, 2, 3, 4, 0, 0, 2, 2, 4, 3, 2, 1, 1, 1, 4, 0, 3, 1, 1, 0, 2, 0, 3, 0, 0, 2, 0, 2, 4, 2, 2, 3, 3, 4, 2, 4, 2, 1, 3, 2, 3, 0, 3, 4, 4, 2, 1, 1, 0, 2, 0, 0, 1, 3, 4, 4, 1, 0, 1, 1, 4, 3, 1, 1, 2, 2, 2, 3, 3, 4, 4, 0, 2, 3, 0, 2, 2, 0, 1, 2, 0, 4, 4, 1, 3, 2, 3, 3, 3, 1, 2, 4, 1, 4, 3, 3, 2, 3, 4, 4, 3, 2, 2, 4, 2, 2, 2, 3, 3, 2, 2, 4, 4, 0, 3, 1, 3, 0, 4, 0, 3, 3, 2, 0, 0, 0, 3, 0, 0, 2, 4, 3, 0, 2, 4, 3, 1, 4, 0, 3, 3, 3, 4, 0, 1, 4, 4, 2, 3, 3, 2, 2, 3, 0, 0, 1, 4, 3, 1, 1, 3, 1, 4, 4, 4, 2, 1, 4, 2, 1, 4, 3, 1, 1, 1, 1, 4, 2, 0, 1, 2, 2, 0, 3, 2, 1, 4, 2, 2, 0, 4, 0, 1, 3, 3, 4, 0, 3, 0, 3, 0, 2, 0, 1, 4, 0, 3, 3, 2, 4, 2, 1, 3, 0, 0, 0, 1, 1, 4, 1, 2, 3, 3, 0, 0, 3, 4, 3, 3, 1, 2, 3, 3, 0, 2, 0, 1, 4, 1, 3, 0, 1, 4, 2, 0, 0, 0, 1, 1, 1, 0, 1, 4, 3, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 3, 0, 1, 0, 0, 3, 2, 0, 1, 0, 0, 4, 0, 0, 2, 3, 3, 3, 1, 4, 3, 3, 2, 3, 2, 4, 2, 4, 0, 2, 1, 0, 3, 1, 1, 3, 4, 2, 2, 1, 1, 0, 2, 4, 3, 4, 3, 0, 1, 4, 1, 4, 3, 2, 1, 2, 0, 3, 3, 4, 3, 2, 2, 2, 3, 4, 2, 0, 4, 1, 2, 1, 4, 2, 4, 2, 1, 0, 3, 0, 1, 4, 0, 2, 4, 3, 2, 1, 4, 2, 3, 2, 3, 1, 3, 2, 3, 1, 0, 2, 4, 4, 3, 3, 3, 4, 0, 2, 4, 4, 4, 2, 0, 2, 4, 3, 0, 1, 3, 2, 1, 3, 4, 2, 3, 2, 2, 3, 3, 1, 2, 0, 4, 1, 0, 2, 2, 4, 2, 3, 3, 3, 2, 3, 2, 4, 0, 4, 3, 1, 3, 2, 4, 3, 0, 1, 2, 2, 4, 0, 4, 0, 1, 2, 1, 3, 1, 1, 2, 4, 2, 0, 2, 2, 3, 4, 3, 2, 2, 1, 3, 3, 0, 4, 3, 4, 4, 4, 3, 2, 3, 2, 0, 1, 1, 4, 0, 2, 4, 4, 4, 2, 0, 2, 1, 2, 0, 0, 2, 4, 4, 2, 1, 4, 3, 2, 3, 1, 2]
pubkeycol1457 = [0, 4, 3, 0, 1, 3, 0, 4, 2, 1, 1, 2, 4, 0, 4, 4, 0, 2, 4, 1, 2, 3, 0, 4, 4, 0, 2, 1, 4, 0, 1, 2, 2, 4, 3, 0, 2, 0, 2, 1, 4, 2, 3, 2, 4, 2, 1, 1, 4, 1, 0, 1, 0, 3, 0, 3, 4, 4, 0, 2, 3, 1, 0, 0, 3, 2, 0, 4, 2, 2, 4, 3, 0, 3, 4, 3, 3, 4, 3, 2, 4, 0, 1, 3, 3, 1, 3, 0, 0, 3, 3, 3, 2, 2, 4, 1, 4, 3, 1, 2, 0, 4, 4, 1, 0, 2, 2, 3, 3, 0, 1, 4, 0, 3, 2, 2, 4, 4, 1, 4, 3, 0, 1, 4, 2, 3, 4, 2, 4, 2, 3, 0, 1, 4, 2, 3, 1, 2, 2, 2, 0, 1, 2, 1, 0, 3, 4, 0, 4, 2, 1, 3, 2, 2, 3, 0, 3, 4, 4, 4, 1, 0, 3, 1, 3, 2, 2, 1, 3, 0, 2, 4, 3, 3, 1, 1, 2, 1, 3, 1, 4, 3, 1, 2, 4, 2, 4, 1, 2, 3, 4, 4, 3, 4, 3, 1, 2, 1, 1, 3, 0, 1, 3, 3, 4, 1, 3, 0, 0, 3, 2, 0, 0, 3, 0, 1, 3, 4, 2, 0, 3, 3, 1, 1, 1, 3, 1, 1, 4, 1, 1, 3, 1, 0, 4, 3, 4, 0, 2, 0, 3, 1, 4, 4, 4, 3, 3, 0, 2, 2, 2, 3, 2, 3, 0, 1, 4, 3, 1, 1, 4, 3, 4, 1, 1, 0, 4, 3, 0, 4, 0, 1, 3, 4, 0, 4, 4, 3, 2, 4, 2, 0, 1, 0, 3, 3, 0, 4, 2, 1, 1, 4, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 4, 4, 2, 4, 2, 3, 2, 2, 4, 4, 4, 2, 0, 2, 0, 3, 3, 3, 2, 2, 1, 4, 4, 2, 0, 2, 4, 3, 4, 1, 1, 2, 2, 1, 0, 0, 3, 1, 4, 3, 3, 1, 0, 0, 3, 2, 2, 3, 3, 4, 2, 2, 2, 3, 1, 4, 3, 3, 0, 4, 4, 0, 0, 0, 4, 0, 4, 2, 4, 3, 0, 2, 1, 1, 4, 2, 3, 1, 1, 4, 2, 2, 0, 4, 1, 3, 0, 0, 1, 2, 2, 3, 2, 1, 4, 4, 1, 1, 0, 1, 4, 0, 2, 1, 1, 3, 0, 1, 2, 3, 4, 3, 4, 1, 1, 1, 0, 1, 4, 1, 1, 2, 3, 0, 3, 3, 2, 3, 1, 4, 0, 4, 2, 0, 1, 1, 1, 3, 1, 1, 4, 1, 3, 4, 0, 1, 1, 3, 0, 2, 3, 1, 2, 2, 3, 3, 2, 3, 2, 2, 2, 0, 3, 4, 1, 4, 2, 0, 0, 2, 0, 0, 1, 3, 1, 0, 2, 0, 0, 0, 4, 4, 0, 0, 1, 3, 3, 1, 3, 2, 3, 0, 0, 0, 4, 4, 1, 1, 4, 3, 1, 3, 4]
pubkeycol1458 = [4, 2, 2, 4, 1, 1, 4, 3, 0, 3, 3, 0, 1, 0, 4, 1, 1, 0, 3, 1, 4, 0, 4, 0, 0, 2, 0, 3, 2, 0, 3, 0, 3, 2, 2, 4, 3, 2, 1, 0, 4, 3, 0, 1, 2, 3, 4, 0, 4, 1, 0, 0, 0, 1, 2, 0, 4, 3, 0, 3, 3, 0, 0, 0, 2, 3, 2, 3, 1, 1, 0, 1, 3, 2, 1, 4, 4, 1, 3, 0, 3, 2, 2, 4, 3, 3, 1, 4, 0, 2, 0, 3, 4, 0, 0, 0, 1, 3, 3, 1, 3, 4, 3, 1, 4, 3, 0, 0, 3, 4, 1, 4, 1, 2, 2, 3, 0, 3, 4, 2, 0, 3, 2, 2, 2, 3, 3, 3, 3, 3, 1, 2, 0, 3, 1, 2, 0, 3, 4, 2, 0, 2, 2, 2, 3, 2, 4, 0, 4, 0, 2, 3, 4, 4, 2, 1, 3, 4, 2, 0, 2, 0, 3, 0, 2, 3, 4, 1, 2, 3, 4, 4, 3, 3, 0, 3, 0, 2, 4, 0, 1, 3, 0, 3, 4, 4, 3, 3, 2, 2, 2, 3, 1, 0, 3, 3, 4, 2, 4, 0, 3, 3, 0, 1, 4, 4, 2, 2, 3, 4, 0, 1, 3, 2, 4, 0, 0, 3, 0, 0, 2, 2, 2, 3, 0, 0, 4, 1, 2, 1, 4, 2, 4, 1, 2, 4, 1, 2, 4, 2, 2, 3, 2, 1, 1, 0, 4, 1, 0, 2, 1, 3, 4, 1, 3, 4, 3, 1, 0, 3, 4, 2, 0, 3, 4, 4, 3, 2, 4, 1, 4, 3, 2, 1, 0, 3, 2, 2, 4, 3, 2, 3, 4, 4, 3, 4, 1, 1, 0, 3, 1, 3, 3, 3, 2, 0, 0, 0, 4, 1, 2, 2, 1, 2, 2, 3, 1, 0, 0, 3, 3, 2, 4, 4, 3, 1, 4, 1, 3, 0, 3, 0, 4, 4, 1, 4, 0, 4, 3, 3, 4, 0, 3, 3, 1, 1, 3, 2, 4, 3, 3, 2, 0, 1, 3, 1, 1, 4, 4, 2, 4, 1, 2, 3, 2, 2, 0, 1, 2, 3, 3, 2, 4, 2, 1, 1, 3, 3, 4, 1, 0, 4, 2, 2, 3, 4, 3, 3, 2, 0, 2, 4, 1, 3, 4, 1, 4, 2, 1, 4, 3, 4, 1, 1, 4, 4, 3, 4, 0, 2, 2, 4, 1, 2, 1, 3, 1, 2, 1, 3, 2, 3, 4, 2, 4, 3, 2, 2, 4, 0, 4, 2, 4, 2, 1, 4, 0, 0, 1, 2, 0, 3, 4, 2, 4, 3, 1, 0, 2, 2, 0, 3, 1, 0, 4, 1, 4, 2, 1, 1, 2, 4, 1, 3, 1, 2, 3, 2, 1, 3, 0, 2, 1, 4, 0, 4, 4, 3, 3, 3, 3, 1, 0, 0, 2, 2, 3, 2, 1, 1, 2, 4, 1, 0, 0, 3, 3, 1, 0, 4, 3, 0, 0, 2, 1, 0, 1, 3, 2, 3, 0, 0, 3, 4, 4]
pubkeycol1459 = [3, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 4, 0, 2, 2, 4, 2, 4, 4, 0, 0, 2, 2, 3, 2, 0, 0, 0, 1, 2, 2, 2, 4, 3, 4, 1, 3, 2, 4, 1, 3, 3, 2, 1, 4, 1, 1, 1, 3, 4, 1, 1, 0, 2, 1, 0, 0, 1, 4, 1, 2, 3, 4, 2, 3, 2, 0, 3, 2, 1, 2, 2, 4, 2, 1, 4, 1, 0, 0, 1, 0, 2, 0, 1, 3, 0, 4, 4, 1, 1, 4, 1, 4, 3, 2, 1, 3, 0, 1, 1, 4, 4, 1, 3, 0, 4, 1, 0, 1, 0, 1, 2, 1, 1, 2, 3, 3, 3, 3, 1, 1, 3, 2, 1, 2, 3, 0, 1, 1, 4, 3, 2, 1, 3, 4, 4, 2, 2, 4, 1, 1, 4, 4, 1, 3, 2, 4, 1, 2, 2, 0, 1, 3, 4, 2, 4, 0, 0, 3, 1, 3, 2, 4, 2, 4, 0, 3, 3, 2, 4, 3, 4, 0, 4, 2, 2, 3, 3, 2, 0, 1, 1, 0, 2, 4, 4, 3, 1, 1, 1, 2, 0, 2, 4, 1, 1, 0, 4, 0, 2, 4, 4, 3, 3, 2, 0, 3, 4, 1, 0, 4, 4, 0, 4, 1, 4, 3, 0, 2, 2, 0, 3, 3, 1, 4, 3, 2, 4, 1, 0, 4, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 4, 4, 0, 4, 0, 4, 3, 2, 4, 2, 4, 0, 0, 1, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 3, 1, 3, 3, 4, 2, 2, 4, 2, 4, 4, 1, 4, 0, 4, 3, 0, 0, 0, 2, 4, 4, 4, 2, 4, 2, 3, 3, 0, 0, 1, 0, 3, 3, 1, 0, 0, 0, 4, 4, 3, 4, 1, 0, 0, 0, 2, 3, 1, 2, 4, 1, 4, 4, 3, 4, 4, 3, 0, 1, 0, 2, 2, 3, 1, 3, 1, 4, 0, 1, 2, 4, 0, 2, 2, 4, 3, 2, 0, 4, 3, 3, 1, 1, 0, 0, 1, 1, 2, 3, 3, 0, 4, 3, 2, 3, 3, 3, 3, 0, 1, 3, 4, 2, 0, 1, 2, 0, 0, 2, 2, 2, 3, 1, 2, 1, 2, 2, 2, 4, 0, 2, 2, 3, 2, 2, 3, 4, 3, 3, 3, 0, 1, 3, 1, 0, 3, 0, 4, 3, 3, 4, 2, 1, 4, 4, 1, 2, 2, 1, 3, 3, 2, 2, 1, 1, 0, 3, 4, 3, 0, 2, 3, 2, 4, 4, 2, 4, 4, 3, 3, 1, 0, 3, 1, 4, 1, 2, 0, 1, 3, 1, 3, 4, 1, 1, 0, 0, 4, 0, 4, 0, 4, 3, 3, 2, 1, 2, 2, 2, 3, 2, 2, 4, 4, 4, 0, 4, 2, 4, 0, 4, 0, 4, 1, 3, 3, 1, 3, 4, 0, 2, 0, 4, 4, 0, 2, 4, 1, 1, 1, 4, 4, 3]
pubkeycol1460 = [3, 0, 2, 1, 3, 3, 3, 2, 0, 4, 3, 4, 0, 3, 4, 3, 3, 3, 0, 1, 3, 4, 3, 2, 4, 1, 2, 4, 0, 2, 0, 0, 1, 2, 3, 0, 4, 2, 3, 1, 3, 1, 4, 3, 2, 1, 4, 2, 1, 0, 1, 3, 4, 4, 0, 1, 4, 0, 1, 1, 1, 0, 1, 0, 1, 3, 2, 0, 1, 2, 1, 4, 0, 1, 4, 1, 4, 0, 1, 2, 0, 3, 4, 0, 0, 0, 2, 1, 1, 0, 4, 0, 3, 3, 1, 1, 1, 2, 3, 3, 4, 2, 0, 4, 1, 1, 1, 4, 1, 1, 0, 0, 4, 2, 2, 3, 4, 2, 2, 3, 3, 3, 0, 1, 4, 4, 4, 4, 2, 0, 4, 3, 1, 1, 2, 3, 2, 0, 3, 2, 4, 1, 4, 4, 4, 0, 3, 3, 0, 1, 3, 2, 0, 4, 2, 4, 3, 1, 3, 1, 1, 4, 4, 1, 1, 0, 1, 0, 0, 1, 4, 3, 0, 4, 4, 4, 2, 1, 4, 3, 2, 2, 3, 2, 3, 4, 3, 0, 2, 1, 2, 0, 0, 0, 0, 3, 3, 4, 2, 1, 1, 3, 4, 1, 3, 1, 0, 0, 4, 4, 0, 2, 1, 1, 1, 4, 4, 4, 4, 4, 1, 4, 2, 3, 0, 1, 0, 0, 3, 2, 3, 0, 1, 0, 0, 2, 2, 0, 4, 1, 0, 4, 2, 1, 2, 4, 2, 1, 1, 3, 0, 1, 3, 3, 0, 2, 2, 1, 2, 4, 0, 0, 4, 0, 2, 2, 3, 4, 4, 0, 4, 2, 3, 4, 3, 4, 3, 4, 2, 4, 3, 0, 1, 2, 0, 2, 1, 4, 1, 1, 4, 1, 0, 1, 2, 0, 3, 3, 1, 3, 1, 1, 2, 4, 0, 0, 3, 3, 0, 2, 4, 3, 0, 4, 1, 4, 2, 2, 1, 3, 0, 0, 3, 0, 0, 0, 3, 4, 0, 4, 4, 0, 3, 0, 0, 3, 2, 1, 3, 4, 4, 1, 3, 4, 2, 3, 0, 1, 0, 4, 4, 4, 2, 0, 2, 0, 4, 3, 2, 0, 3, 0, 4, 4, 1, 4, 1, 2, 1, 4, 1, 0, 3, 3, 2, 2, 1, 1, 2, 0, 0, 4, 3, 3, 4, 4, 0, 0, 1, 0, 2, 2, 0, 2, 0, 3, 0, 0, 3, 3, 4, 2, 2, 1, 0, 1, 4, 4, 0, 1, 4, 2, 3, 1, 4, 3, 1, 2, 2, 2, 0, 3, 4, 4, 4, 4, 2, 4, 2, 1, 0, 2, 4, 3, 2, 3, 1, 1, 2, 0, 2, 0, 1, 2, 1, 3, 0, 0, 1, 1, 2, 3, 0, 0, 0, 1, 0, 2, 4, 3, 2, 3, 0, 4, 3, 3, 2, 0, 3, 2, 4, 1, 2, 3, 3, 0, 1, 3, 2, 0, 0, 3, 3, 2, 4, 2, 1, 0, 2, 4, 4, 1, 4, 4, 1, 2, 1, 3, 3, 4, 4, 1, 1, 2, 2]
pubkeycol1461 = [1, 2, 4, 1, 0, 0, 2, 3, 1, 1, 2, 2, 3, 1, 2, 2, 0, 2, 4, 3, 1, 2, 3, 4, 4, 2, 0, 4, 0, 1, 1, 3, 1, 2, 4, 4, 1, 1, 2, 0, 2, 3, 3, 2, 3, 0, 3, 2, 1, 2, 0, 4, 1, 4, 2, 1, 3, 3, 2, 1, 4, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 3, 1, 3, 3, 4, 3, 0, 1, 3, 0, 1, 4, 3, 1, 1, 2, 4, 1, 0, 3, 3, 4, 3, 0, 1, 3, 0, 2, 4, 3, 1, 0, 1, 4, 0, 0, 2, 4, 4, 2, 1, 1, 0, 3, 0, 3, 4, 3, 2, 2, 3, 2, 1, 2, 4, 1, 1, 4, 4, 3, 0, 3, 0, 3, 2, 4, 1, 3, 4, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 3, 4, 1, 1, 4, 1, 2, 4, 3, 0, 0, 0, 4, 0, 2, 4, 0, 2, 1, 3, 3, 4, 0, 0, 4, 1, 0, 0, 2, 3, 4, 2, 3, 2, 1, 0, 3, 2, 0, 4, 2, 2, 4, 4, 4, 3, 3, 2, 3, 2, 2, 0, 1, 1, 0, 4, 3, 1, 4, 2, 3, 4, 1, 3, 3, 4, 1, 3, 2, 2, 0, 0, 4, 2, 4, 4, 1, 3, 2, 4, 1, 1, 2, 2, 4, 4, 4, 2, 3, 0, 4, 4, 1, 0, 3, 4, 0, 3, 1, 3, 3, 1, 1, 2, 0, 2, 4, 0, 0, 3, 1, 0, 1, 2, 2, 2, 4, 0, 3, 1, 1, 1, 1, 3, 0, 4, 1, 1, 3, 3, 2, 2, 0, 3, 1, 3, 3, 2, 1, 1, 1, 3, 0, 2, 0, 0, 1, 2, 2, 4, 0, 3, 1, 2, 2, 3, 2, 1, 3, 1, 2, 4, 2, 3, 1, 0, 2, 3, 3, 1, 4, 1, 1, 2, 1, 3, 1, 1, 4, 3, 1, 3, 3, 0, 1, 2, 2, 3, 3, 2, 2, 4, 0, 2, 1, 3, 3, 3, 0, 1, 3, 2, 4, 4, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 4, 1, 0, 2, 4, 0, 3, 3, 2, 1, 2, 0, 2, 3, 2, 4, 4, 4, 0, 0, 4, 1, 2, 2, 4, 1, 0, 4, 2, 0, 2, 4, 4, 1, 0, 4, 3, 4, 0, 1, 4, 4, 0, 2, 1, 0, 4, 0, 3, 4, 0, 1, 3, 3, 1, 1, 3, 3, 1, 0, 1, 4, 1, 3, 3, 2, 1, 3, 4, 1, 2, 0, 0, 0, 4, 0, 4, 3, 3, 1, 3, 4, 4, 1, 2, 2, 1, 1, 2, 0, 0, 4, 4, 1, 0, 2, 1, 1, 4, 2, 1, 1, 2, 1, 2, 3, 4, 0, 1, 2, 0, 3, 3, 0, 1, 0, 2, 3, 1, 2, 3, 3, 1, 4, 3, 4, 3, 1, 2, 0, 2, 3, 4, 4, 1, 3, 0, 1, 2]
pubkeycol1462 = [1, 0, 2, 4, 3, 4, 3, 1, 1, 0, 0, 1, 0, 4, 3, 3, 0, 1, 4, 3, 1, 2, 0, 1, 2, 3, 3, 2, 4, 1, 2, 2, 3, 2, 4, 3, 0, 3, 4, 1, 1, 2, 1, 1, 1, 3, 4, 3, 3, 1, 1, 4, 0, 1, 1, 0, 1, 4, 4, 2, 4, 2, 1, 1, 0, 0, 3, 2, 0, 1, 1, 4, 1, 4, 3, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 4, 0, 1, 3, 3, 4, 2, 1, 4, 0, 1, 2, 0, 1, 2, 0, 3, 1, 0, 0, 4, 3, 0, 3, 0, 0, 0, 0, 4, 1, 4, 1, 3, 0, 1, 2, 1, 3, 3, 3, 2, 3, 4, 1, 0, 0, 4, 1, 1, 2, 3, 0, 1, 4, 3, 2, 1, 0, 1, 3, 4, 1, 3, 4, 0, 1, 3, 2, 0, 1, 0, 4, 0, 0, 3, 3, 0, 0, 0, 2, 4, 1, 3, 2, 2, 1, 1, 4, 0, 3, 3, 2, 0, 3, 2, 1, 3, 0, 1, 4, 3, 1, 0, 3, 1, 3, 2, 4, 1, 0, 4, 0, 0, 3, 4, 1, 0, 0, 4, 2, 3, 3, 2, 1, 3, 2, 4, 0, 2, 0, 1, 0, 2, 1, 1, 4, 2, 4, 3, 3, 4, 2, 2, 2, 3, 3, 1, 4, 4, 3, 3, 2, 1, 0, 2, 2, 0, 2, 3, 3, 0, 1, 0, 4, 0, 3, 0, 4, 4, 3, 2, 2, 0, 4, 3, 3, 0, 1, 0, 1, 4, 1, 3, 2, 4, 1, 1, 2, 0, 3, 4, 1, 2, 0, 2, 0, 0, 1, 0, 3, 3, 3, 1, 3, 1, 1, 3, 1, 3, 3, 2, 1, 2, 0, 1, 2, 1, 1, 3, 3, 3, 1, 1, 4, 0, 0, 2, 4, 4, 0, 0, 2, 0, 0, 4, 3, 0, 1, 0, 1, 3, 2, 4, 2, 0, 0, 3, 4, 3, 4, 4, 3, 3, 1, 2, 3, 1, 1, 3, 4, 1, 3, 4, 1, 2, 2, 2, 0, 1, 3, 3, 1, 1, 3, 2, 4, 1, 0, 2, 4, 4, 1, 2, 1, 1, 4, 1, 0, 2, 1, 0, 3, 4, 2, 1, 4, 2, 1, 0, 0, 0, 2, 4, 3, 4, 3, 1, 2, 1, 1, 4, 1, 1, 4, 0, 3, 0, 1, 0, 3, 4, 0, 1, 3, 3, 0, 3, 4, 4, 2, 4, 3, 0, 4, 4, 3, 4, 0, 0, 3, 4, 0, 1, 3, 2, 1, 1, 3, 3, 4, 1, 2, 2, 2, 1, 0, 1, 4, 0, 2, 2, 0, 4, 4, 1, 0, 1, 4, 0, 4, 2, 4, 1, 3, 1, 4, 2, 2, 2, 1, 4, 0, 3, 1, 3, 3, 3, 2, 1, 1, 4, 1, 1, 1, 0, 0, 0, 4, 0, 0, 2, 4, 0, 1, 4, 0, 0, 1, 1, 4, 3, 4, 3, 0, 4, 1, 3, 2, 0]
pubkeycol1463 = [0, 2, 3, 0, 4, 3, 1, 2, 1, 1, 0, 4, 4, 1, 3, 0, 2, 1, 1, 4, 0, 0, 0, 2, 4, 1, 0, 2, 1, 1, 2, 3, 3, 2, 2, 3, 4, 0, 4, 4, 1, 2, 2, 4, 0, 2, 1, 3, 4, 1, 0, 1, 4, 3, 3, 0, 2, 2, 2, 4, 0, 0, 4, 3, 0, 1, 0, 2, 1, 3, 3, 1, 3, 2, 4, 1, 4, 4, 3, 3, 4, 4, 4, 4, 4, 2, 1, 1, 4, 1, 2, 0, 2, 3, 4, 4, 0, 1, 2, 3, 3, 0, 0, 0, 0, 4, 1, 1, 0, 1, 4, 4, 3, 2, 2, 3, 4, 3, 2, 3, 3, 0, 1, 0, 4, 2, 3, 3, 3, 4, 0, 0, 4, 4, 1, 4, 1, 2, 3, 2, 3, 1, 0, 2, 3, 1, 1, 1, 2, 2, 4, 2, 2, 2, 4, 2, 3, 1, 3, 3, 0, 0, 4, 3, 2, 2, 4, 4, 4, 2, 0, 2, 3, 0, 2, 3, 2, 4, 4, 4, 0, 4, 0, 0, 2, 3, 3, 0, 2, 0, 4, 3, 2, 4, 1, 1, 2, 4, 2, 2, 4, 3, 3, 4, 1, 3, 0, 1, 1, 4, 2, 3, 3, 0, 0, 0, 3, 1, 3, 3, 3, 1, 4, 2, 4, 0, 2, 1, 2, 1, 2, 0, 2, 3, 4, 3, 0, 0, 4, 3, 4, 0, 3, 1, 4, 2, 3, 4, 0, 3, 0, 4, 4, 1, 3, 3, 1, 1, 0, 0, 4, 4, 2, 0, 1, 1, 3, 4, 0, 1, 3, 3, 4, 3, 3, 3, 4, 4, 3, 1, 1, 0, 1, 0, 2, 2, 2, 4, 3, 4, 3, 4, 2, 0, 2, 4, 0, 1, 0, 4, 3, 1, 1, 2, 1, 0, 1, 4, 1, 3, 1, 4, 2, 4, 3, 3, 2, 2, 3, 0, 3, 3, 4, 1, 2, 1, 4, 2, 3, 2, 2, 0, 2, 1, 0, 4, 1, 3, 2, 2, 2, 1, 1, 0, 4, 0, 0, 3, 0, 1, 3, 3, 4, 4, 0, 4, 3, 0, 1, 3, 4, 1, 2, 0, 0, 1, 2, 4, 4, 4, 2, 0, 3, 1, 0, 2, 3, 2, 0, 4, 4, 4, 3, 4, 2, 0, 2, 4, 2, 3, 3, 2, 2, 3, 3, 4, 2, 0, 1, 3, 0, 1, 1, 1, 1, 4, 3, 0, 1, 1, 4, 2, 2, 1, 0, 0, 0, 2, 0, 1, 3, 1, 0, 0, 1, 4, 2, 1, 1, 4, 3, 3, 0, 1, 4, 3, 2, 2, 1, 2, 1, 4, 1, 3, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 3, 0, 4, 3, 2, 3, 4, 2, 3, 4, 4, 4, 3, 3, 0, 2, 4, 2, 3, 0, 0, 2, 2, 1, 4, 0, 3, 0, 4, 0, 1, 2, 1, 0, 0, 3, 2, 2, 4, 0, 1, 3, 4, 3, 3, 3, 2, 4, 4]
pubkeycol1464 = [3, 0, 2, 4, 0, 3, 2, 0, 2, 1, 3, 1, 0, 3, 4, 0, 3, 1, 4, 2, 2, 3, 0, 2, 2, 0, 2, 4, 3, 2, 4, 1, 1, 4, 1, 2, 2, 1, 3, 3, 1, 0, 1, 4, 3, 0, 2, 1, 3, 4, 1, 4, 2, 1, 2, 4, 2, 1, 4, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 3, 4, 3, 2, 4, 1, 3, 4, 4, 0, 2, 3, 4, 0, 2, 1, 3, 0, 1, 0, 4, 4, 2, 1, 0, 3, 2, 2, 1, 4, 2, 2, 0, 4, 0, 3, 1, 2, 3, 4, 0, 4, 2, 3, 3, 1, 3, 4, 4, 3, 3, 2, 3, 3, 4, 2, 4, 0, 3, 3, 2, 0, 0, 2, 3, 3, 1, 0, 2, 0, 3, 2, 0, 0, 4, 2, 4, 3, 4, 4, 3, 1, 3, 3, 3, 0, 4, 4, 0, 3, 3, 2, 1, 2, 3, 0, 1, 1, 1, 4, 3, 1, 1, 0, 4, 4, 1, 4, 3, 0, 0, 1, 0, 2, 2, 1, 2, 2, 3, 3, 0, 2, 3, 2, 0, 2, 4, 1, 1, 4, 3, 0, 3, 4, 4, 0, 0, 4, 1, 0, 4, 0, 1, 3, 1, 1, 2, 4, 4, 3, 3, 1, 3, 2, 2, 4, 2, 3, 3, 1, 4, 4, 3, 4, 1, 3, 0, 0, 2, 2, 4, 3, 0, 2, 4, 1, 4, 3, 4, 0, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 2, 1, 0, 4, 0, 3, 2, 4, 3, 2, 2, 4, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 3, 0, 2, 0, 4, 3, 1, 2, 2, 4, 0, 1, 4, 2, 4, 4, 0, 4, 0, 1, 1, 1, 1, 1, 4, 2, 0, 3, 4, 0, 0, 3, 3, 4, 3, 0, 4, 3, 1, 0, 4, 3, 1, 3, 1, 1, 3, 3, 3, 0, 3, 4, 4, 3, 3, 2, 0, 3, 3, 1, 0, 2, 4, 1, 0, 3, 4, 4, 1, 4, 0, 0, 2, 3, 2, 3, 3, 2, 0, 3, 0, 1, 0, 4, 1, 2, 2, 2, 4, 4, 0, 0, 1, 1, 3, 0, 0, 0, 4, 3, 3, 2, 1, 4, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 4, 3, 1, 1, 3, 2, 4, 0, 1, 3, 4, 4, 2, 4, 3, 0, 0, 1, 4, 3, 4, 4, 1, 0, 3, 0, 0, 1, 4, 0, 1, 2, 1, 3, 1, 3, 3, 1, 1, 1, 2, 2, 1, 3, 3, 3, 1, 3, 0, 4, 4, 2, 4, 3, 1, 4, 3, 1, 4, 3, 2, 2, 3, 1, 2, 4, 0, 4, 3, 3, 0, 0, 0, 3, 2, 4, 1, 4, 2, 1, 0, 1, 2, 4, 0, 2, 0, 0, 3, 0, 1, 1, 4, 2, 1, 4, 4, 1, 2, 4, 1, 4, 2, 0, 0, 2, 0, 4, 1, 3]
pubkeycol1465 = [1, 1, 3, 0, 0, 1, 3, 4, 1, 3, 0, 4, 0, 2, 3, 2, 2, 2, 4, 4, 1, 3, 0, 4, 1, 2, 4, 3, 1, 2, 2, 3, 0, 0, 3, 3, 0, 4, 1, 4, 4, 4, 1, 4, 4, 0, 2, 2, 0, 0, 4, 3, 3, 4, 1, 1, 0, 0, 0, 1, 1, 0, 4, 1, 4, 3, 0, 4, 0, 2, 2, 0, 0, 2, 0, 3, 2, 3, 4, 3, 3, 0, 1, 4, 2, 3, 1, 2, 1, 4, 0, 1, 4, 3, 4, 1, 3, 0, 0, 4, 1, 4, 1, 1, 0, 0, 2, 2, 4, 1, 2, 3, 2, 0, 1, 1, 1, 2, 0, 2, 4, 0, 2, 2, 4, 0, 2, 4, 3, 0, 3, 3, 3, 0, 4, 0, 1, 3, 0, 4, 4, 2, 4, 1, 0, 4, 3, 0, 2, 4, 4, 2, 3, 2, 3, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 4, 4, 0, 3, 4, 0, 3, 1, 4, 4, 4, 1, 0, 0, 4, 3, 0, 3, 2, 3, 1, 2, 3, 1, 3, 4, 1, 1, 0, 1, 2, 4, 0, 2, 0, 0, 0, 1, 4, 0, 2, 2, 0, 0, 2, 3, 4, 2, 0, 2, 0, 3, 0, 3, 2, 0, 2, 3, 1, 0, 3, 0, 2, 1, 0, 4, 2, 1, 3, 4, 2, 3, 1, 3, 1, 1, 4, 4, 2, 0, 1, 0, 3, 2, 0, 0, 3, 2, 0, 3, 1, 3, 1, 0, 3, 2, 1, 3, 4, 0, 0, 1, 1, 4, 3, 0, 3, 1, 3, 2, 0, 4, 1, 0, 4, 0, 0, 3, 3, 3, 0, 3, 2, 1, 0, 2, 4, 0, 0, 4, 2, 3, 0, 1, 0, 1, 2, 1, 0, 3, 4, 4, 2, 0, 3, 3, 1, 0, 4, 2, 4, 1, 1, 0, 2, 3, 4, 1, 0, 3, 2, 4, 1, 3, 2, 2, 0, 0, 1, 4, 2, 3, 2, 0, 2, 3, 4, 3, 1, 1, 4, 2, 3, 2, 1, 0, 3, 1, 1, 3, 3, 4, 4, 3, 0, 3, 1, 2, 2, 4, 4, 3, 1, 2, 4, 0, 3, 1, 3, 3, 1, 1, 4, 0, 1, 3, 1, 4, 0, 2, 1, 1, 0, 3, 4, 1, 0, 4, 4, 2, 2, 1, 0, 4, 0, 0, 4, 0, 1, 4, 0, 4, 1, 3, 0, 3, 0, 1, 4, 1, 3, 1, 2, 0, 3, 0, 0, 4, 3, 3, 0, 3, 0, 4, 2, 2, 0, 4, 2, 3, 0, 0, 1, 1, 1, 2, 4, 1, 3, 3, 4, 1, 1, 2, 0, 1, 3, 3, 1, 3, 1, 0, 1, 2, 4, 4, 2, 3, 2, 3, 3, 2, 1, 1, 4, 1, 1, 1, 2, 2, 4, 2, 4, 3, 4, 2, 4, 2, 2, 0, 1, 0, 0, 3, 0, 4, 4, 1, 4, 1, 4, 0, 3, 0, 3, 2, 3, 1, 1, 2]
pubkeycol1466 = [0, 1, 0, 3, 2, 4, 0, 1, 0, 4, 4, 4, 4, 2, 2, 3, 2, 3, 4, 4, 4, 4, 1, 2, 4, 3, 0, 3, 0, 3, 2, 2, 3, 1, 0, 0, 3, 3, 3, 0, 1, 3, 0, 4, 0, 3, 3, 4, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 3, 4, 2, 0, 4, 1, 3, 0, 4, 3, 4, 0, 2, 2, 0, 2, 1, 1, 4, 0, 3, 0, 3, 4, 3, 0, 4, 0, 4, 1, 1, 2, 4, 4, 4, 4, 2, 3, 1, 2, 1, 3, 1, 4, 1, 3, 1, 3, 3, 4, 2, 1, 2, 1, 3, 4, 4, 2, 2, 4, 4, 3, 2, 4, 2, 1, 0, 0, 1, 3, 2, 1, 4, 3, 4, 1, 4, 2, 3, 1, 1, 0, 3, 1, 2, 4, 1, 0, 3, 3, 2, 1, 1, 0, 0, 4, 4, 1, 2, 0, 3, 2, 4, 0, 1, 3, 0, 1, 1, 4, 1, 1, 2, 2, 3, 4, 2, 2, 4, 2, 2, 0, 0, 4, 3, 4, 2, 0, 2, 3, 3, 1, 4, 1, 1, 2, 1, 4, 4, 4, 0, 0, 0, 1, 0, 4, 0, 4, 1, 2, 3, 0, 0, 3, 4, 1, 1, 3, 3, 1, 1, 3, 2, 1, 4, 3, 0, 1, 4, 4, 1, 3, 1, 0, 4, 2, 4, 3, 3, 2, 2, 3, 0, 4, 1, 2, 0, 0, 1, 4, 4, 1, 3, 0, 2, 4, 0, 2, 1, 1, 3, 1, 2, 0, 1, 2, 0, 0, 3, 4, 2, 0, 1, 1, 2, 3, 3, 0, 1, 0, 2, 3, 4, 0, 2, 4, 3, 2, 0, 2, 4, 0, 3, 4, 4, 1, 2, 0, 4, 4, 1, 0, 3, 2, 3, 0, 2, 4, 1, 4, 0, 1, 3, 1, 2, 2, 4, 4, 1, 3, 0, 4, 1, 1, 3, 4, 2, 3, 3, 1, 2, 2, 1, 4, 4, 2, 1, 1, 2, 3, 0, 1, 2, 0, 1, 1, 2, 4, 1, 3, 2, 1, 1, 0, 1, 3, 4, 0, 1, 2, 2, 2, 1, 3, 1, 3, 1, 1, 2, 3, 3, 3, 1, 1, 1, 3, 1, 3, 1, 0, 1, 2, 2, 3, 1, 4, 3, 3, 3, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 3, 4, 3, 2, 2, 3, 3, 2, 3, 2, 2, 1, 4, 0, 4, 1, 4, 3, 3, 2, 2, 1, 4, 4, 4, 0, 2, 1, 0, 1, 1, 4, 1, 1, 0, 3, 1, 4, 4, 4, 4, 2, 1, 3, 0, 4, 1, 1, 1, 3, 3, 1, 2, 3, 1, 0, 4, 4, 4, 0, 1, 0, 4, 2, 2, 1, 1, 0, 1, 3, 4, 1, 2, 3, 2, 0, 3, 3, 2, 4, 4, 3, 0, 1, 1, 2, 1, 4, 2, 2, 1, 3, 0, 2, 4, 0, 3, 2, 0, 4, 0, 4, 3, 3, 4, 3]
pubkeycol1467 = [2, 4, 0, 2, 2, 0, 3, 2, 1, 3, 0, 2, 1, 3, 4, 2, 3, 2, 0, 1, 0, 0, 0, 2, 2, 3, 0, 0, 0, 3, 2, 1, 3, 3, 2, 1, 3, 0, 2, 4, 2, 4, 3, 4, 2, 4, 1, 3, 1, 3, 2, 1, 4, 4, 1, 0, 3, 0, 3, 1, 1, 3, 2, 4, 1, 0, 4, 0, 2, 0, 0, 2, 3, 2, 0, 1, 2, 4, 0, 4, 4, 2, 2, 4, 4, 1, 3, 2, 4, 1, 0, 0, 0, 2, 3, 1, 0, 2, 3, 3, 4, 2, 1, 0, 4, 4, 3, 2, 4, 3, 2, 0, 0, 2, 4, 1, 1, 2, 2, 3, 1, 3, 3, 4, 2, 1, 2, 3, 4, 1, 2, 1, 3, 0, 1, 3, 0, 1, 2, 2, 2, 2, 1, 4, 1, 0, 2, 4, 2, 0, 0, 1, 1, 1, 2, 4, 4, 0, 4, 2, 3, 1, 3, 2, 2, 2, 3, 1, 2, 1, 4, 1, 3, 3, 0, 2, 2, 3, 2, 2, 2, 0, 3, 1, 2, 4, 0, 3, 2, 2, 3, 4, 4, 0, 1, 0, 1, 4, 0, 2, 3, 0, 4, 1, 3, 4, 2, 1, 0, 2, 4, 0, 1, 4, 0, 2, 0, 4, 2, 1, 4, 4, 0, 4, 1, 1, 0, 2, 4, 2, 4, 1, 3, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 3, 1, 1, 3, 2, 0, 3, 0, 3, 4, 0, 1, 2, 0, 3, 3, 2, 0, 0, 0, 1, 1, 4, 3, 1, 4, 0, 0, 4, 2, 4, 4, 3, 2, 2, 4, 4, 2, 3, 1, 0, 1, 1, 0, 0, 3, 2, 4, 0, 2, 2, 4, 0, 1, 1, 4, 1, 1, 0, 4, 4, 0, 0, 2, 0, 3, 4, 4, 0, 3, 3, 1, 1, 4, 3, 4, 3, 4, 1, 1, 0, 0, 4, 2, 2, 0, 2, 3, 4, 4, 1, 3, 1, 2, 0, 0, 4, 4, 0, 4, 3, 0, 3, 4, 4, 1, 2, 4, 0, 3, 0, 1, 2, 0, 3, 0, 4, 3, 4, 2, 2, 2, 2, 4, 4, 3, 2, 3, 2, 1, 4, 2, 1, 2, 0, 1, 3, 0, 0, 1, 0, 3, 0, 4, 2, 0, 4, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 4, 1, 2, 0, 3, 3, 2, 4, 4, 0, 2, 0, 4, 2, 4, 0, 1, 4, 2, 2, 2, 0, 3, 2, 2, 2, 0, 2, 3, 1, 4, 1, 0, 4, 1, 2, 4, 0, 0, 3, 0, 3, 2, 4, 0, 1, 3, 1, 3, 3, 1, 2, 2, 3, 0, 4, 0, 0, 3, 2, 4, 2, 4, 2, 0, 3, 4, 0, 2, 2, 2, 3, 3, 3, 1, 4, 3, 4, 1, 3, 4, 2, 1, 1, 0, 4, 0, 3, 3, 2, 4, 0, 2, 1, 3, 1, 0, 4, 0, 0, 2, 1]
pubkeycol1468 = [4, 0, 3, 0, 0, 2, 4, 0, 2, 0, 2, 1, 3, 4, 1, 0, 0, 4, 4, 0, 4, 2, 4, 0, 2, 1, 4, 0, 4, 3, 4, 4, 1, 2, 4, 0, 3, 0, 1, 1, 1, 2, 0, 0, 3, 2, 2, 4, 2, 3, 2, 1, 1, 2, 1, 1, 4, 0, 3, 2, 1, 0, 4, 1, 1, 3, 4, 1, 3, 4, 3, 1, 1, 1, 0, 1, 2, 1, 4, 3, 2, 0, 2, 2, 0, 3, 2, 3, 0, 4, 3, 3, 2, 1, 3, 1, 1, 1, 4, 3, 2, 1, 3, 1, 0, 4, 2, 3, 2, 1, 2, 3, 1, 1, 0, 4, 4, 2, 3, 2, 0, 3, 0, 4, 3, 2, 1, 4, 1, 1, 0, 4, 0, 4, 2, 3, 0, 3, 4, 3, 4, 1, 3, 0, 3, 1, 0, 3, 0, 4, 4, 4, 3, 0, 2, 0, 4, 0, 0, 4, 2, 2, 1, 4, 2, 3, 4, 1, 1, 1, 3, 4, 0, 1, 2, 4, 0, 4, 3, 0, 4, 3, 1, 1, 0, 3, 2, 2, 0, 4, 3, 2, 3, 2, 2, 4, 3, 2, 0, 0, 4, 1, 0, 3, 2, 4, 0, 1, 4, 0, 0, 0, 0, 2, 0, 1, 3, 4, 0, 2, 2, 1, 4, 1, 0, 2, 1, 1, 4, 1, 3, 1, 2, 1, 3, 0, 4, 4, 4, 4, 0, 1, 0, 2, 2, 1, 0, 0, 4, 4, 4, 0, 4, 1, 2, 1, 2, 2, 4, 4, 0, 0, 3, 4, 2, 2, 1, 3, 4, 2, 1, 1, 3, 0, 4, 1, 2, 1, 1, 0, 3, 3, 2, 2, 0, 4, 2, 1, 3, 4, 0, 3, 3, 4, 4, 2, 0, 2, 2, 4, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 4, 3, 1, 0, 0, 2, 2, 1, 2, 4, 0, 2, 1, 4, 1, 4, 0, 0, 4, 4, 4, 3, 3, 2, 0, 0, 2, 4, 2, 2, 0, 4, 0, 4, 3, 1, 1, 1, 0, 0, 4, 2, 2, 1, 0, 3, 2, 3, 4, 3, 1, 4, 1, 0, 0, 2, 3, 3, 2, 0, 4, 3, 2, 2, 4, 3, 1, 2, 1, 3, 1, 4, 4, 4, 4, 0, 0, 2, 4, 2, 1, 3, 1, 2, 4, 1, 2, 0, 1, 1, 2, 3, 4, 0, 1, 3, 4, 0, 0, 0, 2, 0, 1, 3, 4, 2, 1, 1, 1, 0, 3, 1, 3, 2, 4, 1, 0, 1, 2, 1, 4, 0, 3, 4, 1, 4, 2, 2, 1, 1, 2, 4, 0, 4, 3, 2, 2, 1, 0, 3, 4, 4, 1, 3, 0, 0, 3, 0, 1, 3, 4, 2, 1, 4, 3, 2, 3, 1, 3, 4, 3, 3, 1, 2, 2, 2, 1, 4, 4, 0, 3, 4, 4, 4, 1, 0, 0, 4, 4, 4, 4, 1, 1, 1, 2, 3, 3, 2, 3, 1, 2, 4, 2, 1]
pubkeycol1469 = [2, 4, 3, 1, 2, 0, 0, 4, 3, 2, 1, 4, 4, 0, 0, 3, 0, 4, 1, 1, 4, 3, 1, 2, 1, 0, 2, 3, 1, 2, 1, 2, 2, 0, 4, 2, 2, 0, 4, 1, 2, 0, 4, 1, 2, 0, 1, 0, 3, 0, 4, 3, 0, 0, 0, 3, 0, 2, 3, 0, 3, 1, 1, 3, 4, 3, 0, 1, 3, 2, 1, 2, 2, 2, 2, 2, 2, 3, 0, 0, 4, 0, 1, 3, 3, 4, 1, 0, 2, 3, 0, 3, 0, 0, 3, 0, 2, 3, 3, 4, 4, 1, 0, 1, 0, 0, 1, 4, 0, 2, 1, 0, 0, 1, 0, 4, 3, 0, 2, 4, 0, 4, 2, 0, 1, 3, 3, 2, 4, 2, 0, 4, 1, 1, 3, 3, 4, 4, 2, 1, 0, 3, 2, 4, 0, 3, 4, 3, 2, 3, 2, 1, 2, 1, 4, 1, 4, 2, 1, 2, 0, 3, 2, 1, 0, 4, 3, 2, 1, 0, 3, 0, 1, 4, 4, 2, 1, 1, 1, 0, 0, 3, 2, 3, 4, 0, 3, 4, 3, 4, 3, 0, 4, 3, 1, 0, 4, 4, 1, 1, 2, 4, 3, 1, 1, 4, 4, 1, 0, 4, 1, 2, 1, 4, 4, 4, 3, 3, 0, 4, 3, 3, 0, 3, 4, 0, 3, 1, 4, 0, 3, 2, 2, 0, 1, 4, 3, 4, 1, 4, 1, 4, 0, 0, 0, 3, 2, 1, 1, 2, 1, 2, 0, 3, 3, 4, 2, 0, 0, 2, 2, 2, 0, 1, 4, 1, 3, 2, 4, 1, 3, 1, 1, 4, 3, 0, 3, 0, 3, 4, 4, 3, 0, 0, 1, 1, 1, 2, 3, 2, 3, 4, 0, 4, 1, 2, 3, 4, 0, 0, 1, 3, 3, 2, 2, 1, 4, 1, 3, 2, 2, 1, 0, 4, 4, 4, 4, 0, 3, 2, 4, 4, 0, 0, 0, 1, 4, 1, 0, 2, 2, 2, 0, 3, 2, 1, 0, 1, 3, 2, 0, 4, 2, 3, 4, 3, 0, 4, 4, 1, 0, 4, 0, 3, 2, 3, 3, 1, 3, 3, 2, 4, 4, 1, 3, 0, 1, 0, 4, 4, 4, 3, 3, 0, 2, 0, 2, 4, 2, 2, 1, 1, 4, 3, 0, 4, 0, 2, 2, 3, 0, 3, 1, 4, 4, 0, 2, 3, 0, 2, 3, 4, 3, 1, 2, 2, 4, 0, 0, 2, 2, 4, 1, 2, 0, 0, 3, 4, 0, 0, 2, 2, 0, 0, 2, 1, 1, 4, 1, 1, 0, 0, 4, 3, 4, 0, 3, 3, 1, 1, 1, 0, 1, 0, 0, 3, 0, 4, 4, 4, 2, 2, 1, 3, 4, 2, 0, 0, 0, 1, 0, 1, 0, 0, 4, 3, 4, 2, 3, 3, 3, 4, 2, 2, 2, 1, 3, 0, 0, 3, 0, 4, 0, 3, 0, 3, 1, 3, 2, 4, 4, 0, 2, 4, 3, 0, 2, 4, 0, 4, 1, 2, 4, 4, 4]
pubkeycol1470 = [3, 1, 1, 2, 4, 0, 1, 0, 1, 3, 4, 3, 4, 3, 4, 4, 3, 0, 1, 2, 2, 4, 2, 0, 2, 1, 3, 1, 2, 3, 4, 0, 1, 2, 3, 2, 3, 1, 2, 0, 1, 0, 4, 0, 0, 0, 1, 1, 2, 0, 4, 2, 3, 0, 4, 0, 3, 4, 4, 4, 3, 0, 0, 2, 4, 2, 2, 1, 3, 4, 4, 4, 2, 1, 2, 0, 1, 2, 0, 2, 2, 4, 3, 3, 3, 3, 2, 2, 1, 1, 2, 1, 3, 2, 0, 1, 4, 1, 3, 1, 2, 1, 1, 2, 3, 4, 3, 3, 4, 4, 3, 1, 1, 2, 3, 4, 3, 3, 3, 4, 1, 1, 2, 3, 0, 4, 1, 1, 4, 0, 1, 1, 4, 2, 0, 2, 2, 1, 2, 2, 1, 1, 4, 3, 0, 4, 4, 4, 0, 0, 3, 4, 0, 3, 1, 0, 1, 3, 3, 1, 1, 0, 0, 3, 3, 3, 0, 3, 1, 4, 3, 1, 4, 4, 4, 3, 4, 3, 1, 3, 3, 3, 4, 4, 3, 3, 3, 2, 1, 1, 3, 2, 1, 3, 3, 4, 2, 4, 4, 4, 2, 1, 4, 0, 3, 2, 2, 0, 4, 4, 4, 4, 1, 3, 4, 0, 0, 3, 3, 2, 3, 1, 0, 3, 4, 2, 2, 3, 0, 3, 0, 2, 2, 3, 4, 2, 1, 3, 1, 3, 4, 2, 3, 0, 1, 1, 4, 3, 4, 0, 3, 2, 2, 3, 3, 3, 0, 2, 3, 3, 3, 0, 2, 4, 0, 3, 1, 4, 0, 3, 2, 2, 3, 2, 4, 3, 1, 0, 2, 2, 4, 3, 0, 4, 4, 2, 4, 2, 0, 1, 2, 1, 3, 2, 3, 1, 1, 3, 1, 2, 1, 2, 3, 1, 0, 0, 0, 0, 3, 3, 0, 0, 2, 0, 3, 1, 3, 2, 1, 0, 2, 0, 2, 2, 1, 2, 3, 1, 0, 2, 0, 2, 1, 3, 3, 0, 4, 0, 4, 3, 2, 2, 2, 1, 2, 4, 1, 3, 4, 3, 0, 0, 1, 3, 1, 3, 0, 0, 1, 1, 3, 1, 2, 2, 2, 1, 4, 2, 3, 2, 4, 3, 0, 0, 0, 4, 2, 4, 2, 3, 4, 4, 3, 2, 3, 2, 3, 3, 2, 2, 0, 0, 2, 3, 0, 0, 0, 4, 3, 1, 1, 0, 4, 2, 1, 3, 0, 0, 0, 1, 1, 4, 4, 4, 0, 0, 1, 4, 0, 1, 3, 4, 2, 0, 1, 1, 2, 4, 0, 4, 4, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 4, 4, 1, 0, 1, 4, 0, 3, 2, 1, 1, 1, 0, 0, 0, 1, 3, 3, 1, 2, 4, 3, 4, 3, 0, 0, 4, 3, 3, 4, 1, 3, 2, 3, 4, 3, 3, 0, 0, 3, 4, 2, 0, 0, 0, 1, 2, 0, 4, 4, 0, 0, 3, 0, 2, 2, 2, 4, 3, 0, 1, 0, 4, 0]
pubkeycol1471 = [1, 0, 4, 4, 3, 0, 3, 1, 0, 0, 1, 1, 1, 3, 3, 1, 1, 0, 4, 3, 0, 4, 0, 1, 1, 3, 4, 3, 3, 1, 3, 1, 4, 2, 3, 2, 1, 4, 1, 2, 4, 0, 2, 1, 0, 4, 0, 1, 2, 0, 1, 3, 4, 0, 4, 0, 1, 3, 4, 2, 2, 2, 4, 3, 4, 4, 2, 0, 3, 1, 3, 2, 1, 4, 1, 1, 2, 0, 0, 1, 4, 3, 3, 3, 2, 2, 2, 4, 3, 3, 4, 2, 0, 1, 1, 1, 2, 4, 1, 0, 3, 4, 4, 4, 0, 3, 2, 0, 0, 4, 2, 2, 3, 0, 0, 2, 0, 2, 4, 3, 4, 2, 0, 0, 0, 3, 0, 1, 4, 1, 0, 3, 3, 4, 4, 3, 1, 0, 4, 2, 3, 1, 1, 0, 3, 3, 4, 3, 3, 4, 0, 1, 3, 3, 1, 0, 0, 4, 3, 2, 1, 3, 2, 3, 3, 1, 0, 2, 3, 0, 4, 2, 2, 1, 3, 1, 0, 2, 1, 2, 4, 2, 2, 1, 1, 0, 1, 1, 2, 3, 4, 1, 1, 4, 3, 1, 4, 3, 3, 3, 0, 0, 1, 0, 0, 0, 1, 4, 3, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 4, 4, 0, 0, 2, 3, 1, 3, 1, 1, 4, 0, 2, 2, 2, 4, 2, 0, 3, 3, 1, 3, 2, 0, 0, 3, 0, 1, 1, 4, 2, 0, 3, 4, 3, 2, 1, 2, 4, 2, 3, 0, 3, 1, 3, 4, 4, 1, 0, 3, 2, 3, 1, 4, 1, 4, 0, 3, 1, 0, 0, 2, 2, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 0, 0, 2, 2, 3, 0, 1, 1, 4, 3, 2, 2, 4, 0, 4, 2, 1, 3, 1, 0, 2, 0, 3, 3, 1, 1, 3, 0, 4, 4, 0, 0, 4, 2, 4, 0, 4, 1, 2, 3, 4, 0, 4, 3, 1, 4, 4, 0, 4, 4, 4, 4, 1, 0, 4, 3, 3, 1, 0, 1, 0, 4, 4, 2, 2, 0, 0, 3, 0, 3, 3, 1, 2, 1, 4, 0, 4, 2, 3, 1, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 4, 2, 2, 2, 0, 4, 1, 1, 3, 0, 2, 1, 3, 4, 4, 2, 1, 1, 4, 3, 2, 3, 3, 3, 3, 2, 3, 4, 2, 3, 0, 2, 2, 4, 0, 0, 4, 1, 0, 2, 0, 0, 4, 4, 4, 2, 4, 3, 2, 4, 2, 4, 3, 1, 0, 1, 2, 2, 1, 3, 2, 4, 1, 0, 2, 4, 0, 0, 0, 0, 2, 3, 2, 1, 1, 2, 4, 3, 4, 1, 4, 2, 2, 1, 1, 0, 1, 4, 3, 1, 0, 2, 1, 4, 1, 0, 0, 0, 2, 4, 3, 1, 2, 2, 0, 1, 4, 3, 1, 2, 1, 3, 4, 2, 1, 2, 1, 2, 4, 4, 2, 2, 0]
pubkeycol1472 = [2, 4, 2, 4, 1, 4, 2, 4, 3, 0, 4, 0, 3, 1, 3, 1, 3, 0, 0, 0, 1, 1, 3, 3, 3, 3, 4, 1, 1, 1, 0, 0, 4, 1, 1, 4, 0, 0, 4, 1, 3, 2, 3, 1, 2, 2, 1, 1, 4, 0, 1, 2, 0, 2, 4, 2, 3, 1, 0, 1, 2, 4, 4, 1, 2, 0, 1, 4, 4, 0, 2, 3, 1, 2, 2, 3, 2, 2, 4, 0, 1, 2, 3, 0, 3, 0, 1, 1, 4, 3, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 1, 3, 2, 3, 2, 0, 3, 2, 0, 4, 4, 3, 4, 0, 3, 2, 1, 2, 1, 3, 1, 0, 2, 1, 2, 3, 1, 0, 3, 2, 1, 4, 2, 2, 1, 1, 3, 1, 3, 2, 2, 0, 1, 2, 3, 0, 1, 4, 2, 3, 4, 0, 0, 1, 2, 0, 4, 1, 4, 0, 3, 4, 2, 3, 2, 3, 2, 1, 3, 4, 3, 1, 2, 4, 3, 3, 3, 1, 4, 2, 1, 2, 3, 0, 3, 4, 3, 2, 2, 0, 3, 0, 3, 1, 3, 2, 4, 0, 1, 0, 4, 1, 0, 1, 2, 0, 3, 3, 3, 0, 0, 2, 0, 4, 0, 1, 3, 4, 2, 3, 2, 3, 0, 3, 0, 0, 0, 0, 1, 1, 0, 4, 4, 2, 4, 3, 3, 0, 1, 0, 4, 0, 2, 2, 3, 1, 3, 4, 0, 4, 4, 2, 4, 4, 2, 2, 2, 1, 3, 3, 0, 3, 2, 0, 2, 3, 1, 1, 4, 4, 2, 3, 0, 0, 2, 1, 2, 3, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 4, 4, 4, 2, 2, 1, 0, 3, 0, 2, 2, 2, 3, 3, 4, 1, 2, 0, 1, 2, 0, 4, 0, 0, 1, 0, 0, 1, 4, 4, 0, 3, 3, 2, 4, 4, 3, 1, 0, 1, 2, 4, 2, 1, 0, 1, 4, 4, 0, 2, 1, 2, 0, 4, 2, 2, 1, 0, 4, 3, 0, 2, 4, 2, 3, 4, 2, 3, 0, 1, 4, 0, 3, 4, 2, 4, 0, 2, 4, 3, 0, 2, 2, 4, 1, 3, 1, 1, 3, 0, 1, 1, 2, 4, 3, 3, 0, 2, 0, 3, 4, 1, 2, 4, 0, 2, 4, 3, 1, 1, 4, 0, 0, 0, 1, 2, 4, 1, 0, 3, 3, 1, 0, 2, 0, 1, 1, 2, 2, 2, 4, 1, 3, 1, 4, 1, 1, 1, 2, 0, 2, 2, 4, 0, 3, 1, 0, 2, 2, 0, 2, 2, 2, 1, 3, 4, 4, 2, 0, 1, 3, 2, 1, 2, 0, 3, 4, 3, 4, 2, 4, 1, 0, 3, 4, 3, 2, 3, 3, 1, 2, 0, 3, 2, 3, 3, 1, 3, 3, 4, 3, 2, 0, 0, 1, 1, 3, 1, 1, 4, 0, 2, 1, 4, 3, 2, 3, 0, 2, 2, 2, 4, 3, 4, 3, 3, 3]
pubkeycol1473 = [3, 0, 3, 3, 3, 2, 3, 2, 0, 2, 2, 0, 4, 3, 4, 3, 0, 3, 1, 3, 1, 4, 4, 1, 3, 2, 2, 4, 4, 1, 3, 1, 4, 4, 1, 4, 1, 4, 3, 2, 2, 1, 0, 0, 2, 0, 4, 2, 3, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 3, 0, 2, 1, 1, 4, 1, 1, 3, 2, 1, 0, 3, 4, 2, 1, 4, 3, 0, 0, 0, 1, 4, 1, 2, 3, 2, 2, 4, 3, 4, 4, 2, 0, 0, 2, 2, 4, 2, 4, 4, 2, 1, 0, 0, 1, 0, 4, 0, 4, 2, 2, 4, 1, 0, 2, 3, 3, 1, 3, 2, 0, 4, 0, 0, 3, 4, 3, 0, 2, 2, 3, 1, 4, 2, 4, 2, 3, 2, 2, 4, 1, 2, 4, 3, 3, 2, 1, 0, 1, 2, 0, 3, 1, 0, 2, 4, 0, 0, 2, 3, 0, 2, 3, 4, 0, 1, 3, 0, 2, 2, 1, 3, 0, 1, 2, 4, 4, 2, 0, 0, 3, 3, 3, 2, 4, 1, 4, 3, 0, 2, 0, 2, 0, 4, 3, 1, 0, 3, 2, 3, 3, 2, 4, 2, 0, 0, 2, 4, 3, 1, 1, 0, 2, 3, 4, 3, 1, 4, 2, 4, 2, 3, 0, 2, 3, 4, 3, 4, 1, 3, 0, 2, 0, 1, 4, 0, 3, 1, 0, 2, 0, 0, 0, 1, 0, 4, 2, 3, 2, 2, 3, 1, 4, 3, 2, 3, 4, 0, 2, 3, 0, 0, 3, 1, 0, 1, 2, 0, 3, 4, 0, 3, 3, 1, 0, 1, 3, 4, 1, 2, 2, 1, 3, 4, 1, 1, 0, 1, 1, 0, 3, 0, 3, 1, 2, 2, 1, 3, 2, 0, 0, 0, 1, 0, 0, 2, 2, 3, 3, 4, 3, 3, 3, 0, 3, 1, 3, 4, 1, 4, 1, 4, 4, 1, 4, 1, 1, 4, 4, 3, 3, 0, 4, 4, 2, 0, 3, 4, 4, 0, 4, 2, 0, 2, 1, 1, 2, 3, 0, 2, 2, 0, 1, 2, 4, 1, 0, 3, 4, 1, 4, 1, 3, 1, 0, 2, 1, 1, 1, 1, 4, 0, 1, 1, 1, 1, 3, 4, 0, 1, 1, 2, 3, 4, 4, 1, 3, 0, 1, 0, 2, 4, 0, 3, 3, 3, 0, 2, 0, 3, 3, 1, 1, 3, 1, 2, 1, 1, 0, 3, 3, 2, 2, 3, 1, 0, 1, 1, 1, 3, 2, 1, 3, 2, 2, 3, 1, 3, 0, 2, 0, 0, 3, 1, 2, 0, 3, 1, 1, 0, 2, 2, 1, 3, 2, 3, 0, 0, 1, 4, 3, 0, 3, 4, 3, 2, 1, 4, 0, 2, 2, 1, 3, 1, 2, 4, 3, 4, 3, 1, 2, 2, 4, 4, 4, 1, 3, 2, 3, 0, 2, 0, 4, 3, 4, 2, 0, 3, 0, 0, 1, 2, 2, 3, 2, 3, 1, 4, 2, 1, 2, 2, 1, 0, 0]
pubkeycol1474 = [3, 3, 4, 1, 4, 4, 2, 1, 1, 0, 0, 3, 3, 4, 4, 0, 2, 4, 4, 2, 0, 3, 2, 1, 3, 3, 4, 2, 1, 4, 0, 0, 4, 4, 0, 1, 3, 2, 2, 0, 4, 0, 4, 2, 2, 3, 2, 1, 2, 4, 3, 2, 3, 2, 4, 2, 4, 2, 3, 3, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 4, 0, 2, 4, 0, 3, 0, 3, 4, 3, 4, 1, 2, 4, 4, 2, 4, 3, 1, 2, 3, 0, 3, 4, 3, 2, 3, 2, 4, 1, 2, 4, 3, 2, 3, 4, 3, 3, 1, 1, 4, 2, 2, 1, 2, 4, 0, 0, 0, 3, 3, 4, 3, 0, 1, 4, 3, 1, 3, 1, 1, 3, 2, 3, 1, 4, 2, 1, 2, 0, 3, 4, 4, 2, 2, 3, 3, 2, 2, 1, 0, 0, 1, 4, 1, 1, 3, 3, 3, 0, 1, 4, 4, 2, 3, 0, 1, 0, 4, 3, 4, 4, 3, 0, 1, 1, 1, 3, 0, 2, 0, 1, 3, 0, 4, 1, 3, 1, 2, 0, 3, 0, 3, 4, 2, 1, 3, 3, 0, 3, 3, 4, 2, 1, 3, 3, 4, 4, 4, 0, 2, 4, 2, 2, 2, 2, 1, 1, 0, 3, 4, 0, 2, 4, 3, 3, 4, 3, 3, 2, 3, 2, 2, 0, 1, 0, 2, 0, 2, 3, 4, 0, 1, 0, 0, 3, 3, 2, 3, 0, 3, 2, 4, 1, 1, 0, 0, 2, 2, 1, 3, 2, 2, 4, 4, 0, 2, 1, 1, 3, 3, 0, 1, 1, 1, 1, 4, 2, 1, 0, 3, 4, 3, 2, 3, 4, 0, 2, 3, 4, 2, 1, 4, 0, 2, 3, 1, 2, 2, 2, 3, 3, 0, 1, 2, 0, 3, 2, 2, 3, 4, 1, 0, 4, 0, 3, 4, 1, 4, 1, 4, 2, 4, 1, 3, 1, 3, 0, 1, 1, 4, 0, 4, 2, 4, 4, 0, 1, 1, 1, 2, 0, 1, 4, 2, 4, 4, 4, 3, 3, 0, 4, 1, 0, 0, 4, 0, 4, 3, 2, 4, 3, 2, 1, 3, 3, 1, 4, 3, 4, 1, 4, 3, 2, 4, 2, 1, 1, 1, 0, 3, 0, 4, 2, 3, 2, 4, 3, 2, 1, 4, 0, 2, 2, 4, 2, 4, 4, 3, 0, 1, 4, 0, 4, 0, 2, 3, 2, 2, 0, 3, 3, 0, 3, 3, 3, 4, 2, 4, 3, 2, 3, 1, 0, 4, 2, 3, 4, 0, 2, 1, 1, 0, 2, 4, 0, 0, 0, 0, 1, 0, 1, 3, 3, 2, 2, 4, 3, 4, 1, 0, 1, 0, 0, 3, 0, 3, 2, 0, 1, 2, 1, 1, 3, 3, 3, 1, 1, 1, 2, 4, 3, 4, 2, 4, 1, 3, 0, 4, 4, 1, 4, 3, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 3, 1, 2, 3, 2, 0, 3, 1]
pubkeycol1475 = [4, 3, 2, 3, 0, 0, 2, 1, 4, 1, 1, 2, 4, 0, 1, 1, 2, 0, 2, 3, 0, 0, 4, 3, 2, 0, 3, 4, 3, 2, 2, 4, 0, 2, 3, 3, 4, 4, 1, 3, 2, 0, 3, 1, 1, 4, 0, 2, 0, 4, 0, 3, 1, 1, 4, 2, 3, 2, 3, 4, 4, 0, 1, 2, 4, 2, 4, 1, 1, 1, 2, 3, 4, 2, 0, 0, 1, 1, 1, 3, 2, 0, 4, 2, 3, 3, 2, 1, 0, 3, 3, 2, 2, 3, 1, 4, 4, 2, 3, 3, 4, 3, 2, 3, 1, 2, 4, 3, 1, 2, 0, 0, 4, 0, 1, 2, 0, 3, 0, 3, 3, 0, 2, 2, 3, 2, 1, 2, 2, 3, 0, 1, 3, 2, 1, 4, 0, 1, 4, 3, 0, 2, 4, 0, 0, 3, 4, 4, 2, 3, 2, 1, 2, 4, 4, 0, 0, 1, 4, 0, 1, 0, 4, 3, 2, 3, 3, 0, 3, 3, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 4, 2, 1, 0, 1, 3, 1, 1, 4, 1, 1, 2, 3, 3, 2, 0, 3, 0, 4, 3, 2, 2, 0, 0, 0, 1, 3, 4, 4, 3, 0, 4, 3, 0, 2, 3, 0, 1, 2, 0, 2, 4, 4, 3, 0, 2, 0, 3, 4, 0, 0, 3, 2, 3, 3, 2, 4, 1, 3, 4, 0, 0, 4, 0, 0, 0, 4, 3, 4, 0, 3, 0, 2, 3, 1, 3, 3, 3, 4, 0, 2, 4, 4, 3, 2, 4, 0, 4, 3, 2, 1, 1, 4, 3, 4, 3, 2, 2, 0, 2, 4, 0, 3, 0, 2, 4, 4, 3, 4, 4, 3, 3, 3, 0, 4, 0, 0, 4, 0, 0, 3, 4, 0, 3, 0, 2, 1, 2, 3, 2, 4, 0, 4, 4, 3, 0, 0, 4, 2, 4, 0, 3, 4, 2, 0, 2, 0, 3, 4, 3, 1, 0, 4, 4, 1, 4, 4, 2, 4, 0, 1, 0, 4, 1, 2, 2, 2, 0, 0, 2, 1, 4, 3, 4, 2, 2, 4, 4, 1, 1, 1, 0, 3, 0, 4, 2, 2, 3, 2, 3, 3, 0, 2, 2, 3, 0, 0, 4, 4, 3, 0, 2, 4, 0, 0, 0, 1, 0, 4, 0, 3, 4, 1, 0, 2, 0, 3, 1, 3, 4, 1, 1, 1, 2, 4, 3, 3, 4, 3, 1, 2, 4, 4, 1, 0, 4, 2, 4, 0, 4, 2, 4, 4, 4, 1, 4, 4, 1, 1, 4, 0, 3, 2, 0, 0, 0, 3, 2, 3, 0, 0, 0, 2, 1, 0, 0, 2, 4, 2, 4, 0, 3, 2, 4, 1, 1, 4, 2, 4, 4, 1, 0, 1, 1, 3, 1, 4, 4, 0, 3, 2, 3, 0, 1, 4, 4, 0, 3, 1, 3, 0, 3, 1, 0, 3, 1, 0, 2, 1, 3, 3, 0, 2, 2, 0, 3, 1, 4, 0, 2, 0, 0, 1]
pubkeycol1476 = [4, 4, 4, 4, 1, 0, 4, 4, 3, 0, 1, 3, 3, 4, 3, 0, 0, 2, 1, 0, 2, 2, 2, 4, 2, 4, 2, 4, 1, 4, 4, 4, 1, 0, 4, 2, 3, 0, 4, 1, 1, 0, 0, 0, 3, 0, 0, 0, 0, 1, 3, 1, 0, 0, 1, 2, 2, 0, 2, 4, 2, 3, 4, 0, 1, 0, 2, 4, 0, 3, 0, 3, 3, 1, 4, 2, 1, 2, 1, 2, 1, 4, 0, 2, 4, 2, 1, 4, 3, 3, 3, 4, 3, 3, 1, 4, 3, 0, 2, 0, 1, 0, 4, 0, 3, 0, 4, 1, 0, 2, 2, 1, 4, 4, 1, 1, 1, 1, 4, 1, 4, 0, 0, 2, 3, 4, 2, 3, 0, 2, 2, 3, 0, 3, 2, 2, 2, 0, 2, 1, 2, 4, 4, 2, 4, 3, 0, 1, 3, 3, 0, 4, 2, 0, 4, 1, 2, 0, 3, 2, 3, 2, 4, 1, 4, 1, 4, 0, 0, 3, 1, 1, 4, 4, 4, 3, 4, 3, 2, 3, 3, 3, 3, 1, 0, 4, 2, 3, 4, 4, 0, 0, 0, 2, 0, 3, 0, 3, 1, 2, 0, 3, 1, 0, 0, 3, 3, 2, 1, 1, 3, 4, 3, 2, 3, 2, 1, 2, 2, 4, 0, 4, 0, 1, 0, 0, 1, 0, 2, 3, 1, 3, 0, 2, 2, 3, 0, 4, 1, 4, 0, 2, 2, 4, 0, 4, 4, 0, 4, 2, 3, 0, 2, 0, 1, 4, 1, 0, 2, 0, 4, 0, 4, 3, 0, 0, 1, 0, 2, 0, 3, 1, 0, 4, 2, 4, 1, 4, 4, 3, 2, 1, 2, 4, 0, 1, 2, 0, 0, 0, 3, 3, 0, 3, 3, 0, 4, 1, 3, 4, 0, 0, 0, 4, 1, 4, 1, 0, 0, 2, 2, 1, 3, 0, 3, 2, 0, 1, 1, 0, 4, 2, 1, 2, 0, 0, 2, 0, 4, 2, 2, 3, 3, 0, 2, 3, 4, 4, 3, 0, 0, 4, 0, 1, 2, 4, 0, 1, 4, 3, 3, 0, 2, 3, 3, 0, 4, 3, 4, 3, 0, 3, 2, 4, 3, 3, 3, 3, 1, 3, 3, 0, 0, 4, 1, 3, 4, 4, 1, 1, 2, 0, 3, 2, 0, 0, 2, 1, 3, 0, 1, 0, 0, 0, 1, 3, 4, 3, 0, 0, 2, 4, 4, 4, 2, 0, 1, 1, 3, 1, 4, 4, 2, 3, 3, 1, 0, 0, 0, 0, 0, 4, 0, 2, 2, 4, 3, 0, 3, 2, 2, 0, 3, 0, 1, 4, 0, 2, 4, 2, 4, 1, 2, 4, 2, 2, 2, 3, 2, 3, 0, 2, 1, 2, 4, 0, 1, 0, 2, 3, 1, 4, 0, 4, 2, 1, 4, 3, 2, 0, 3, 3, 4, 0, 4, 3, 4, 1, 1, 4, 0, 1, 4, 1, 3, 4, 2, 0, 1, 4, 0, 2, 1, 3, 0, 4, 3, 4, 3, 2, 0, 0, 2, 0, 0]
pubkeycol1477 = [4, 0, 4, 3, 3, 0, 3, 3, 3, 0, 2, 1, 0, 0, 1, 4, 0, 3, 0, 1, 0, 0, 4, 3, 0, 1, 3, 4, 3, 0, 3, 4, 1, 0, 2, 1, 0, 4, 1, 1, 2, 2, 2, 1, 4, 4, 0, 1, 0, 2, 4, 3, 2, 4, 3, 1, 2, 1, 3, 4, 0, 3, 1, 4, 1, 0, 4, 1, 3, 3, 4, 0, 4, 1, 3, 4, 2, 3, 3, 4, 2, 1, 0, 3, 3, 0, 0, 4, 3, 0, 2, 2, 1, 1, 4, 0, 3, 4, 2, 3, 1, 4, 1, 2, 4, 0, 1, 2, 0, 3, 2, 3, 1, 0, 1, 2, 2, 0, 4, 1, 1, 0, 4, 4, 4, 0, 1, 0, 1, 0, 0, 3, 3, 2, 0, 2, 0, 1, 2, 4, 0, 2, 0, 3, 3, 2, 1, 0, 0, 3, 2, 2, 1, 1, 0, 3, 4, 3, 1, 1, 2, 3, 0, 0, 2, 4, 4, 4, 3, 2, 2, 2, 0, 1, 2, 4, 3, 3, 2, 3, 0, 3, 3, 3, 1, 3, 0, 4, 4, 2, 3, 4, 4, 3, 4, 1, 1, 3, 1, 4, 1, 2, 0, 0, 0, 2, 0, 4, 2, 1, 2, 2, 4, 4, 3, 2, 0, 4, 1, 2, 4, 1, 0, 1, 0, 1, 2, 0, 4, 0, 3, 3, 0, 2, 3, 3, 1, 4, 3, 0, 0, 1, 4, 4, 4, 2, 2, 1, 0, 3, 1, 1, 0, 4, 3, 4, 3, 0, 2, 0, 4, 4, 1, 2, 3, 0, 2, 1, 2, 0, 0, 3, 4, 3, 1, 1, 1, 0, 3, 0, 3, 4, 0, 3, 4, 3, 2, 2, 2, 2, 3, 2, 1, 1, 0, 1, 4, 2, 1, 4, 3, 2, 2, 2, 3, 4, 3, 2, 4, 4, 0, 4, 0, 4, 1, 2, 0, 2, 0, 1, 1, 3, 1, 4, 2, 2, 0, 0, 4, 0, 0, 4, 4, 3, 3, 4, 1, 0, 2, 2, 1, 0, 2, 4, 2, 1, 3, 2, 4, 0, 1, 2, 1, 1, 3, 1, 4, 1, 0, 3, 3, 2, 3, 1, 0, 1, 1, 2, 3, 0, 1, 4, 4, 3, 3, 4, 2, 4, 3, 0, 3, 4, 3, 3, 0, 0, 1, 0, 4, 4, 2, 0, 1, 2, 3, 2, 2, 3, 3, 0, 4, 2, 4, 4, 0, 2, 3, 3, 1, 2, 1, 0, 2, 2, 1, 3, 2, 1, 4, 3, 0, 2, 2, 4, 4, 3, 1, 1, 3, 4, 3, 4, 3, 3, 3, 1, 0, 2, 3, 4, 3, 1, 1, 2, 1, 3, 0, 3, 1, 1, 2, 3, 4, 1, 1, 1, 4, 0, 3, 4, 0, 4, 2, 2, 4, 0, 3, 4, 2, 4, 1, 4, 0, 1, 1, 0, 4, 1, 3, 2, 1, 3, 4, 2, 1, 1, 3, 2, 3, 0, 3, 2, 0, 2, 1, 2, 2, 4, 0, 3, 3, 1, 2, 1, 4]
pubkeycol1478 = [1, 3, 1, 0, 2, 0, 3, 4, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 4, 0, 0, 3, 2, 2, 1, 1, 3, 2, 2, 3, 0, 2, 1, 1, 0, 2, 3, 3, 2, 3, 3, 3, 3, 4, 4, 3, 4, 3, 4, 3, 1, 1, 4, 0, 0, 3, 2, 3, 4, 0, 1, 2, 1, 4, 0, 3, 1, 2, 4, 4, 0, 3, 4, 3, 1, 2, 2, 4, 2, 2, 3, 3, 2, 0, 3, 4, 2, 1, 1, 4, 4, 3, 3, 2, 3, 0, 1, 1, 2, 2, 1, 2, 2, 4, 3, 1, 1, 2, 0, 2, 1, 4, 3, 4, 4, 4, 2, 2, 2, 0, 4, 3, 1, 4, 4, 4, 2, 3, 1, 0, 0, 3, 1, 1, 0, 4, 0, 1, 1, 0, 0, 3, 3, 0, 3, 3, 3, 3, 1, 4, 1, 2, 4, 4, 4, 0, 3, 2, 3, 0, 0, 3, 3, 2, 3, 1, 3, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 3, 1, 0, 4, 0, 4, 0, 4, 4, 1, 1, 0, 3, 3, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 3, 1, 4, 1, 2, 1, 3, 2, 4, 0, 0, 0, 2, 3, 1, 2, 2, 1, 1, 3, 4, 4, 2, 3, 0, 2, 2, 1, 2, 3, 1, 2, 2, 2, 3, 0, 4, 1, 1, 2, 0, 3, 4, 4, 2, 0, 1, 4, 3, 3, 2, 1, 0, 0, 0, 1, 0, 0, 3, 4, 3, 2, 0, 1, 4, 4, 3, 3, 3, 2, 1, 2, 4, 1, 4, 4, 2, 1, 1, 1, 0, 3, 0, 1, 4, 4, 1, 4, 0, 2, 2, 1, 3, 1, 1, 1, 0, 0, 1, 0, 4, 1, 3, 0, 3, 4, 4, 2, 3, 4, 2, 1, 0, 1, 4, 3, 0, 0, 4, 0, 1, 4, 2, 4, 4, 2, 2, 3, 3, 0, 1, 1, 3, 3, 3, 1, 3, 2, 3, 1, 0, 2, 3, 4, 1, 3, 3, 4, 4, 1, 0, 3, 0, 4, 0, 2, 1, 0, 2, 3, 4, 4, 4, 0, 2, 3, 1, 0, 1, 4, 1, 0, 2, 4, 4, 3, 2, 3, 2, 4, 1, 2, 0, 3, 2, 3, 0, 1, 0, 4, 1, 4, 3, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 3, 0, 4, 0, 2, 4, 1, 2, 2, 2, 0, 0, 4, 3, 0, 1, 0, 2, 3, 0, 2, 1, 1, 1, 0, 3, 0, 3, 0, 2, 4, 0, 1, 0, 2, 1, 1, 2, 3, 0, 1, 3, 4, 4, 0, 4, 1, 1, 4, 2, 1, 0, 1, 4, 0, 4, 3, 0, 1, 4, 4, 1, 4, 3, 3, 0, 0, 1, 0, 1, 2, 4, 2, 1, 4, 0, 3, 3, 3, 4, 1, 3, 3, 2, 1, 0, 3, 2, 0, 1, 2]
pubkeycol1479 = [1, 4, 2, 1, 3, 3, 3, 4, 0, 1, 2, 2, 2, 4, 2, 4, 3, 4, 1, 3, 3, 2, 2, 0, 2, 4, 3, 2, 0, 4, 1, 0, 0, 2, 2, 3, 2, 0, 3, 3, 0, 1, 2, 0, 3, 1, 2, 4, 1, 2, 2, 3, 0, 2, 2, 1, 1, 3, 4, 3, 2, 1, 3, 4, 2, 0, 4, 0, 0, 3, 4, 2, 1, 0, 3, 1, 4, 2, 0, 0, 4, 2, 2, 0, 0, 1, 2, 3, 1, 4, 0, 4, 2, 3, 3, 3, 2, 2, 4, 3, 1, 4, 3, 4, 3, 1, 4, 4, 2, 2, 0, 4, 3, 3, 2, 2, 2, 0, 0, 1, 4, 0, 0, 1, 3, 1, 3, 3, 4, 4, 2, 4, 4, 3, 4, 2, 0, 0, 2, 2, 2, 3, 1, 3, 4, 1, 3, 3, 1, 3, 0, 2, 4, 0, 0, 3, 0, 3, 2, 1, 2, 2, 4, 1, 1, 3, 0, 3, 4, 1, 1, 1, 3, 2, 2, 2, 1, 4, 1, 1, 1, 4, 3, 4, 0, 2, 0, 0, 1, 1, 0, 3, 0, 3, 2, 1, 0, 1, 4, 2, 3, 4, 1, 1, 4, 3, 2, 4, 1, 3, 3, 2, 3, 0, 3, 4, 1, 4, 1, 0, 0, 2, 4, 2, 3, 1, 2, 2, 4, 1, 0, 4, 2, 0, 1, 3, 4, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 4, 2, 3, 3, 1, 2, 1, 3, 1, 0, 4, 4, 0, 2, 4, 3, 1, 2, 4, 1, 4, 0, 4, 2, 0, 4, 3, 0, 2, 3, 2, 2, 1, 2, 4, 2, 0, 2, 3, 2, 4, 2, 2, 1, 1, 1, 1, 4, 4, 2, 2, 1, 0, 1, 3, 0, 1, 0, 1, 4, 1, 0, 2, 3, 1, 2, 1, 2, 2, 3, 1, 2, 1, 4, 4, 0, 2, 0, 0, 4, 2, 1, 0, 0, 2, 2, 3, 2, 4, 1, 4, 4, 4, 0, 0, 2, 0, 0, 4, 4, 4, 1, 4, 1, 0, 4, 4, 0, 3, 2, 1, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 1, 0, 0, 3, 0, 0, 4, 0, 2, 1, 4, 4, 0, 2, 1, 3, 2, 1, 0, 1, 4, 4, 4, 3, 1, 4, 3, 0, 0, 3, 3, 0, 2, 3, 3, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 3, 0, 2, 3, 1, 1, 3, 3, 3, 2, 3, 3, 4, 4, 4, 2, 4, 3, 3, 3, 2, 3, 3, 1, 4, 4, 0, 2, 3, 1, 1, 1, 1, 1, 0, 2, 1, 4, 4, 0, 1, 2, 0, 3, 3, 4, 0, 4, 1, 3, 3, 0, 0, 1, 1, 0, 4, 3, 2, 3, 0, 1, 0, 4, 4, 2, 4, 1, 0, 0, 0, 0, 3, 3, 4, 3, 2, 2, 1, 1, 2, 2, 2, 4, 0, 2, 1]
pubkeycol1480 = [4, 4, 0, 4, 3, 1, 3, 4, 4, 2, 4, 0, 2, 4, 3, 1, 2, 1, 4, 0, 3, 0, 0, 1, 2, 4, 3, 1, 3, 3, 3, 4, 2, 1, 0, 0, 2, 4, 0, 4, 4, 4, 2, 3, 2, 1, 0, 2, 1, 1, 1, 0, 3, 1, 0, 2, 3, 1, 0, 2, 0, 4, 1, 2, 4, 0, 4, 4, 3, 0, 2, 1, 4, 2, 2, 0, 3, 1, 3, 2, 4, 4, 2, 2, 1, 0, 0, 1, 0, 0, 1, 3, 3, 1, 0, 4, 0, 1, 3, 2, 2, 2, 3, 1, 4, 1, 3, 3, 4, 4, 3, 2, 1, 2, 2, 2, 4, 4, 1, 4, 0, 3, 0, 3, 1, 2, 2, 0, 2, 2, 0, 2, 3, 4, 0, 3, 4, 3, 3, 1, 1, 2, 1, 3, 1, 3, 1, 2, 1, 4, 4, 4, 1, 3, 4, 1, 2, 3, 2, 4, 1, 4, 4, 2, 0, 0, 3, 0, 0, 0, 4, 2, 3, 4, 3, 1, 3, 2, 3, 0, 0, 0, 3, 1, 1, 1, 2, 0, 2, 0, 3, 0, 4, 0, 2, 2, 2, 1, 1, 3, 0, 4, 4, 3, 2, 0, 4, 3, 0, 0, 4, 0, 3, 2, 2, 4, 1, 4, 4, 4, 0, 2, 1, 1, 1, 0, 3, 4, 0, 1, 1, 0, 4, 2, 3, 3, 2, 4, 4, 4, 3, 2, 1, 3, 3, 0, 3, 0, 4, 1, 2, 1, 2, 4, 1, 3, 3, 2, 3, 3, 3, 0, 3, 2, 1, 4, 3, 2, 3, 1, 2, 0, 3, 3, 0, 3, 3, 1, 1, 1, 1, 3, 0, 0, 2, 1, 1, 3, 0, 0, 0, 3, 4, 0, 0, 1, 0, 0, 1, 3, 3, 0, 0, 1, 0, 4, 0, 4, 2, 2, 0, 2, 1, 3, 2, 3, 4, 1, 4, 2, 2, 1, 0, 2, 1, 0, 4, 3, 0, 3, 0, 0, 2, 3, 3, 4, 2, 0, 1, 4, 4, 2, 3, 2, 1, 0, 0, 2, 1, 2, 3, 4, 1, 4, 4, 1, 3, 0, 2, 2, 0, 1, 0, 1, 2, 2, 4, 4, 3, 4, 2, 1, 1, 1, 2, 3, 2, 1, 0, 2, 0, 4, 3, 0, 1, 3, 1, 0, 2, 1, 1, 2, 0, 2, 4, 1, 0, 2, 0, 0, 4, 0, 2, 4, 4, 2, 3, 2, 1, 2, 1, 4, 1, 3, 3, 0, 1, 2, 4, 1, 3, 1, 2, 1, 3, 2, 0, 4, 2, 3, 2, 4, 1, 3, 1, 3, 3, 1, 1, 0, 3, 1, 4, 0, 0, 2, 4, 3, 0, 1, 4, 3, 0, 1, 2, 4, 2, 4, 0, 1, 3, 3, 4, 2, 1, 4, 1, 1, 4, 3, 2, 0, 3, 3, 4, 0, 4, 4, 0, 0, 3, 1, 1, 1, 2, 0, 0, 2, 3, 3, 4, 3, 4, 3, 0, 1, 0, 4, 3, 2, 0, 1, 2, 2, 3]
pubkeycol1481 = [0, 2, 3, 1, 3, 0, 2, 3, 3, 4, 4, 2, 2, 2, 2, 3, 0, 3, 1, 1, 3, 1, 2, 3, 0, 3, 2, 4, 1, 2, 4, 3, 1, 0, 4, 4, 4, 2, 2, 0, 0, 0, 2, 0, 3, 0, 0, 2, 3, 1, 0, 0, 3, 0, 4, 4, 0, 4, 3, 4, 1, 3, 4, 0, 1, 3, 4, 1, 2, 1, 3, 1, 4, 4, 1, 2, 0, 3, 0, 2, 0, 3, 0, 4, 1, 0, 0, 4, 1, 0, 2, 1, 4, 0, 2, 4, 3, 4, 4, 4, 1, 1, 1, 3, 4, 2, 1, 0, 0, 4, 4, 2, 2, 2, 3, 2, 3, 3, 4, 1, 0, 0, 0, 0, 4, 0, 4, 4, 1, 1, 2, 2, 2, 1, 4, 3, 3, 2, 4, 3, 4, 1, 2, 3, 0, 2, 0, 1, 0, 2, 3, 2, 1, 4, 0, 3, 1, 3, 1, 4, 1, 0, 1, 1, 2, 0, 3, 0, 1, 2, 1, 1, 4, 4, 4, 0, 1, 0, 1, 2, 0, 2, 0, 3, 2, 4, 4, 1, 4, 4, 0, 4, 2, 1, 1, 1, 4, 2, 1, 2, 1, 3, 1, 1, 0, 4, 4, 3, 1, 1, 2, 1, 3, 3, 4, 3, 1, 4, 1, 4, 3, 0, 3, 3, 1, 3, 2, 1, 3, 1, 4, 0, 0, 2, 2, 0, 2, 2, 1, 0, 3, 2, 0, 2, 2, 2, 4, 0, 0, 1, 0, 0, 3, 4, 0, 3, 2, 0, 2, 3, 1, 3, 1, 1, 0, 4, 4, 3, 4, 1, 4, 1, 0, 3, 1, 1, 1, 1, 0, 0, 0, 4, 3, 0, 2, 1, 1, 3, 3, 2, 1, 1, 3, 3, 3, 4, 0, 0, 1, 1, 4, 0, 2, 0, 3, 1, 2, 1, 4, 0, 2, 4, 0, 0, 4, 2, 4, 3, 4, 4, 4, 4, 0, 4, 2, 3, 1, 2, 2, 4, 3, 1, 0, 2, 4, 2, 1, 3, 4, 3, 3, 0, 1, 0, 4, 4, 2, 4, 1, 0, 0, 1, 4, 2, 2, 4, 3, 1, 2, 3, 3, 3, 0, 1, 3, 4, 2, 1, 3, 4, 2, 4, 3, 2, 2, 4, 1, 2, 2, 1, 3, 4, 4, 2, 0, 4, 4, 2, 0, 1, 4, 0, 4, 0, 2, 0, 0, 0, 4, 2, 4, 2, 2, 0, 2, 0, 0, 1, 3, 2, 1, 4, 2, 2, 3, 1, 0, 2, 0, 2, 1, 0, 4, 2, 2, 4, 0, 2, 2, 1, 1, 4, 2, 3, 0, 1, 1, 3, 4, 2, 3, 4, 1, 0, 1, 4, 0, 2, 4, 4, 3, 1, 3, 4, 0, 1, 4, 4, 0, 3, 1, 1, 0, 1, 3, 4, 2, 2, 0, 2, 2, 2, 3, 0, 4, 3, 0, 2, 2, 0, 0, 0, 2, 4, 3, 0, 1, 2, 4, 4, 1, 0, 2, 1, 4, 3, 1, 1, 3, 2, 2, 1, 2, 4, 1]
pubkeycol1482 = [1, 1, 3, 0, 2, 4, 2, 3, 3, 2, 2, 1, 1, 4, 1, 1, 2, 1, 0, 1, 1, 3, 0, 4, 2, 3, 1, 0, 3, 0, 0, 1, 1, 3, 2, 0, 4, 3, 2, 0, 2, 0, 4, 4, 1, 3, 2, 2, 2, 0, 4, 4, 2, 4, 4, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 4, 0, 1, 0, 3, 3, 3, 2, 0, 2, 3, 4, 4, 0, 2, 1, 4, 4, 3, 2, 2, 4, 1, 0, 3, 4, 0, 1, 3, 2, 3, 2, 4, 1, 0, 3, 2, 3, 2, 0, 4, 0, 3, 0, 1, 4, 3, 1, 0, 2, 4, 4, 4, 3, 4, 1, 2, 4, 2, 0, 0, 1, 0, 3, 4, 2, 3, 0, 3, 1, 2, 0, 2, 0, 3, 1, 1, 0, 1, 1, 0, 0, 3, 3, 1, 2, 2, 3, 3, 1, 2, 2, 4, 2, 1, 0, 4, 4, 4, 1, 0, 1, 1, 0, 4, 4, 1, 0, 0, 3, 3, 2, 2, 3, 4, 0, 2, 3, 3, 0, 3, 4, 2, 0, 4, 4, 3, 4, 0, 2, 2, 1, 3, 0, 1, 0, 3, 0, 2, 2, 3, 2, 2, 3, 3, 2, 1, 1, 3, 0, 3, 0, 2, 3, 4, 1, 2, 1, 1, 4, 2, 2, 1, 1, 3, 1, 2, 1, 3, 1, 4, 1, 0, 2, 1, 0, 1, 4, 1, 1, 1, 2, 4, 4, 2, 4, 0, 0, 2, 0, 1, 1, 1, 3, 2, 2, 3, 3, 2, 1, 0, 2, 0, 4, 0, 3, 3, 1, 1, 1, 1, 1, 1, 4, 1, 0, 0, 3, 4, 2, 3, 4, 1, 0, 1, 0, 1, 3, 4, 2, 4, 4, 2, 0, 2, 2, 0, 1, 3, 0, 3, 4, 3, 3, 0, 3, 2, 2, 1, 0, 1, 2, 1, 1, 1, 4, 4, 4, 2, 4, 3, 3, 1, 3, 4, 2, 1, 1, 0, 1, 3, 2, 0, 0, 1, 2, 0, 2, 2, 4, 2, 4, 4, 1, 0, 3, 0, 0, 2, 0, 3, 1, 3, 0, 4, 1, 0, 3, 1, 3, 2, 4, 0, 4, 0, 3, 3, 2, 1, 1, 4, 0, 4, 0, 4, 3, 2, 0, 4, 4, 2, 4, 4, 1, 1, 2, 0, 1, 2, 1, 2, 4, 0, 3, 2, 1, 4, 1, 2, 3, 0, 0, 4, 2, 2, 0, 0, 3, 4, 1, 1, 0, 3, 3, 2, 2, 1, 4, 3, 0, 0, 1, 1, 1, 4, 3, 0, 1, 1, 4, 3, 2, 3, 2, 3, 1, 2, 4, 2, 0, 2, 1, 1, 3, 2, 0, 4, 0, 3, 0, 1, 3, 3, 2, 3, 0, 1, 4, 4, 3, 0, 3, 3, 1, 3, 0, 3, 1, 1, 0, 0, 4, 4, 3, 2, 2, 3, 0, 3, 0, 4, 0, 4, 3, 0, 4, 1, 4, 2, 3, 0, 0, 3, 2, 2, 0]
pubkeycol1483 = [3, 3, 0, 0, 2, 3, 0, 2, 2, 2, 3, 2, 0, 0, 0, 1, 0, 1, 4, 0, 2, 4, 3, 2, 0, 3, 0, 3, 4, 1, 4, 0, 0, 2, 0, 0, 4, 4, 1, 1, 2, 4, 2, 1, 4, 4, 4, 4, 0, 0, 0, 1, 4, 4, 4, 1, 3, 0, 1, 3, 3, 4, 2, 4, 3, 1, 1, 2, 4, 4, 3, 3, 2, 4, 1, 2, 4, 4, 3, 0, 4, 2, 3, 4, 3, 3, 4, 3, 3, 2, 1, 1, 3, 3, 2, 3, 2, 0, 4, 2, 2, 2, 1, 4, 0, 3, 3, 4, 2, 0, 3, 3, 4, 3, 1, 0, 4, 3, 2, 4, 2, 0, 1, 2, 3, 0, 1, 0, 0, 0, 4, 3, 1, 3, 2, 1, 3, 4, 4, 4, 0, 0, 3, 0, 2, 4, 0, 1, 0, 3, 4, 2, 4, 3, 1, 4, 3, 3, 0, 4, 2, 3, 1, 1, 2, 3, 3, 2, 3, 0, 4, 2, 0, 3, 1, 2, 2, 4, 4, 2, 4, 0, 0, 3, 0, 2, 3, 2, 4, 3, 1, 2, 0, 1, 0, 3, 3, 1, 1, 1, 2, 4, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 4, 3, 3, 2, 2, 4, 2, 2, 4, 4, 1, 4, 0, 1, 3, 4, 3, 2, 2, 0, 4, 4, 4, 3, 4, 2, 4, 3, 4, 4, 3, 2, 1, 0, 4, 0, 3, 1, 2, 1, 0, 1, 1, 4, 0, 1, 2, 1, 0, 3, 2, 1, 4, 3, 2, 1, 2, 1, 0, 2, 3, 2, 2, 2, 1, 1, 4, 2, 3, 1, 4, 4, 1, 3, 4, 2, 4, 4, 1, 3, 1, 4, 1, 0, 2, 1, 3, 2, 1, 4, 3, 0, 3, 3, 0, 4, 4, 1, 0, 0, 0, 3, 3, 3, 3, 3, 4, 1, 2, 2, 0, 3, 4, 4, 3, 1, 3, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 4, 1, 3, 0, 2, 1, 3, 1, 3, 3, 1, 0, 0, 2, 4, 3, 4, 1, 3, 4, 3, 3, 1, 0, 1, 4, 2, 1, 2, 1, 4, 4, 4, 4, 0, 1, 4, 4, 4, 4, 3, 0, 4, 0, 0, 4, 4, 1, 1, 2, 4, 1, 2, 4, 3, 1, 2, 0, 4, 3, 4, 1, 1, 0, 2, 1, 3, 0, 3, 3, 1, 0, 0, 1, 1, 3, 1, 1, 3, 2, 0, 0, 3, 1, 3, 1, 1, 4, 2, 1, 4, 1, 1, 1, 2, 1, 0, 2, 3, 2, 2, 1, 3, 4, 0, 2, 1, 3, 3, 0, 1, 2, 3, 3, 3, 0, 4, 4, 2, 3, 0, 3, 1, 0, 0, 3, 0, 2, 2, 0, 3, 1, 2, 3, 3, 4, 2, 3, 4, 1, 3, 4, 1, 1, 3, 0, 1, 3, 3, 3, 4, 3, 4, 4, 4, 4, 0, 0, 3, 3, 1, 1, 3]
pubkeycol1484 = [2, 3, 0, 4, 1, 4, 2, 2, 2, 1, 4, 2, 4, 2, 3, 4, 0, 0, 0, 0, 2, 3, 1, 4, 1, 4, 4, 1, 0, 1, 0, 2, 3, 3, 3, 3, 2, 3, 4, 2, 1, 0, 1, 1, 3, 4, 1, 4, 1, 4, 4, 4, 2, 1, 3, 2, 0, 1, 1, 2, 2, 3, 0, 0, 1, 2, 3, 4, 4, 0, 1, 4, 0, 0, 2, 3, 4, 4, 2, 1, 1, 0, 1, 3, 2, 4, 2, 2, 0, 0, 4, 4, 4, 3, 4, 3, 3, 4, 1, 4, 4, 2, 1, 2, 4, 4, 2, 2, 1, 3, 2, 2, 1, 3, 3, 1, 1, 4, 2, 1, 0, 2, 1, 0, 2, 0, 0, 3, 2, 3, 1, 0, 4, 2, 0, 0, 1, 3, 4, 4, 1, 0, 4, 3, 4, 4, 3, 4, 1, 1, 4, 1, 3, 1, 4, 0, 3, 3, 1, 0, 3, 0, 1, 3, 4, 0, 3, 0, 0, 0, 2, 3, 4, 4, 3, 1, 0, 4, 0, 1, 3, 2, 0, 0, 1, 1, 1, 2, 4, 1, 1, 2, 0, 0, 2, 4, 3, 3, 1, 3, 0, 2, 2, 4, 3, 0, 4, 4, 0, 0, 2, 3, 1, 4, 2, 1, 1, 1, 0, 4, 3, 0, 4, 0, 1, 4, 1, 0, 4, 0, 0, 1, 3, 3, 1, 1, 3, 4, 2, 0, 1, 1, 4, 2, 2, 2, 1, 3, 1, 2, 1, 4, 1, 3, 0, 3, 2, 4, 2, 2, 2, 4, 4, 0, 2, 4, 1, 3, 4, 1, 3, 2, 1, 3, 1, 3, 4, 0, 2, 0, 1, 4, 0, 3, 0, 1, 0, 3, 0, 0, 0, 4, 2, 3, 0, 0, 2, 0, 2, 3, 4, 3, 0, 2, 2, 2, 4, 1, 2, 0, 1, 3, 2, 1, 3, 0, 0, 4, 3, 3, 3, 3, 1, 3, 0, 3, 0, 0, 4, 1, 1, 4, 4, 2, 0, 2, 2, 2, 3, 1, 4, 3, 2, 0, 1, 2, 0, 2, 1, 4, 4, 1, 3, 4, 0, 1, 1, 4, 0, 3, 4, 3, 1, 2, 0, 4, 4, 1, 3, 2, 3, 4, 1, 0, 4, 3, 3, 3, 4, 1, 4, 0, 4, 1, 3, 0, 0, 2, 2, 3, 2, 1, 4, 3, 4, 1, 1, 2, 2, 1, 3, 2, 1, 2, 3, 3, 1, 1, 3, 2, 0, 4, 4, 1, 3, 2, 3, 2, 3, 3, 1, 4, 1, 3, 3, 1, 0, 1, 2, 0, 2, 1, 3, 4, 4, 2, 1, 4, 0, 2, 0, 2, 0, 0, 2, 4, 2, 2, 3, 1, 0, 1, 3, 3, 3, 3, 0, 0, 2, 0, 1, 0, 0, 0, 1, 4, 2, 0, 1, 4, 2, 3, 0, 3, 3, 1, 3, 1, 3, 1, 1, 0, 3, 1, 0, 4, 0, 1, 2, 4, 3, 2, 2, 3, 2, 4, 0, 4, 1, 4, 2, 0, 2, 4, 4]
pubkeycol1485 = [2, 1, 0, 4, 3, 0, 2, 1, 2, 1, 3, 2, 2, 4, 0, 0, 0, 3, 3, 4, 4, 0, 0, 0, 3, 2, 4, 4, 2, 1, 3, 1, 3, 4, 2, 2, 0, 4, 3, 2, 4, 0, 3, 3, 1, 1, 2, 0, 3, 4, 4, 1, 4, 2, 4, 2, 0, 4, 0, 4, 0, 0, 2, 0, 0, 3, 1, 0, 0, 4, 3, 1, 3, 4, 1, 3, 4, 4, 1, 2, 3, 2, 1, 2, 4, 0, 0, 2, 2, 3, 1, 0, 0, 0, 4, 2, 1, 2, 3, 3, 1, 3, 1, 4, 3, 4, 2, 2, 2, 1, 0, 1, 3, 3, 2, 1, 4, 1, 4, 3, 1, 3, 2, 1, 1, 1, 4, 2, 0, 4, 3, 2, 3, 0, 2, 0, 2, 1, 3, 3, 4, 0, 1, 3, 4, 1, 1, 4, 4, 2, 3, 0, 1, 2, 3, 2, 3, 1, 1, 4, 4, 4, 4, 4, 4, 0, 2, 2, 0, 4, 0, 2, 4, 0, 1, 3, 2, 1, 1, 1, 2, 1, 3, 3, 3, 0, 4, 1, 3, 4, 1, 4, 3, 0, 0, 3, 3, 2, 3, 0, 3, 4, 2, 0, 1, 1, 1, 2, 3, 3, 0, 3, 3, 0, 3, 2, 4, 1, 0, 3, 3, 3, 3, 0, 2, 3, 0, 4, 0, 4, 3, 4, 1, 0, 4, 3, 4, 2, 1, 2, 1, 4, 1, 3, 3, 4, 4, 4, 1, 4, 1, 0, 3, 1, 3, 4, 3, 1, 2, 1, 4, 2, 2, 1, 2, 3, 0, 0, 0, 3, 0, 3, 1, 3, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 3, 1, 3, 4, 4, 3, 2, 0, 0, 4, 0, 1, 0, 1, 0, 1, 2, 4, 3, 2, 2, 1, 4, 2, 3, 3, 1, 0, 0, 4, 3, 2, 1, 3, 1, 4, 2, 1, 0, 2, 3, 2, 4, 3, 0, 3, 1, 3, 2, 0, 2, 0, 0, 1, 0, 1, 3, 2, 3, 4, 0, 3, 4, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 4, 1, 3, 4, 1, 4, 1, 3, 0, 1, 0, 4, 2, 4, 1, 3, 3, 1, 1, 0, 3, 3, 3, 4, 3, 0, 1, 1, 1, 3, 3, 0, 4, 3, 3, 0, 1, 1, 2, 4, 1, 1, 4, 1, 3, 0, 1, 3, 3, 2, 2, 2, 1, 2, 1, 2, 0, 4, 0, 0, 4, 1, 0, 4, 4, 1, 0, 1, 4, 0, 2, 2, 3, 2, 1, 2, 0, 3, 4, 1, 4, 0, 4, 4, 2, 4, 3, 2, 3, 4, 3, 4, 2, 2, 3, 3, 0, 1, 2, 2, 2, 4, 1, 4, 4, 3, 0, 4, 3, 0, 0, 1, 4, 4, 4, 0, 1, 0, 2, 1, 4, 2, 2, 3, 4, 4, 1, 0, 2, 3, 3, 3, 4, 2, 4, 0, 3, 4, 1, 4, 4, 0, 1, 0, 2]
pubkeycol1486 = [0, 1, 1, 1, 1, 0, 1, 3, 0, 2, 4, 3, 1, 0, 4, 0, 4, 2, 3, 4, 0, 0, 4, 1, 0, 4, 4, 4, 3, 4, 4, 0, 4, 3, 2, 1, 0, 2, 1, 1, 2, 1, 4, 3, 4, 3, 3, 4, 2, 3, 4, 3, 4, 3, 2, 3, 4, 2, 1, 3, 1, 0, 1, 1, 1, 4, 4, 4, 1, 0, 4, 2, 2, 0, 1, 2, 3, 0, 0, 3, 2, 0, 1, 0, 3, 4, 4, 4, 0, 4, 0, 2, 4, 1, 0, 4, 4, 1, 2, 3, 1, 2, 2, 3, 1, 3, 3, 3, 2, 1, 4, 1, 3, 2, 0, 0, 3, 1, 1, 4, 2, 4, 1, 4, 4, 0, 3, 3, 1, 2, 4, 3, 3, 2, 4, 2, 4, 3, 2, 2, 4, 2, 0, 3, 3, 4, 4, 1, 3, 0, 2, 1, 2, 0, 3, 2, 0, 3, 2, 1, 2, 0, 4, 2, 3, 2, 1, 1, 2, 1, 3, 0, 3, 2, 3, 4, 3, 0, 4, 0, 0, 4, 0, 3, 3, 4, 0, 3, 0, 3, 2, 2, 3, 2, 2, 1, 4, 3, 2, 3, 4, 4, 1, 0, 0, 0, 3, 3, 4, 2, 4, 2, 0, 0, 4, 4, 4, 3, 0, 2, 2, 3, 3, 1, 4, 4, 0, 2, 0, 0, 4, 3, 2, 1, 1, 4, 3, 1, 1, 3, 2, 4, 2, 1, 3, 0, 3, 3, 3, 3, 3, 3, 3, 4, 3, 0, 3, 4, 2, 4, 0, 2, 2, 1, 4, 4, 0, 2, 0, 4, 1, 4, 1, 2, 0, 3, 1, 4, 0, 2, 4, 2, 4, 0, 1, 2, 3, 1, 3, 1, 2, 2, 1, 0, 4, 4, 2, 4, 2, 3, 0, 4, 4, 3, 1, 2, 3, 3, 2, 1, 2, 3, 3, 4, 2, 1, 0, 3, 0, 3, 4, 1, 4, 3, 3, 4, 0, 0, 4, 0, 1, 4, 4, 0, 0, 1, 0, 1, 2, 0, 4, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 3, 4, 1, 3, 1, 3, 1, 1, 0, 2, 0, 2, 3, 4, 4, 4, 1, 4, 2, 2, 4, 2, 0, 2, 4, 0, 0, 4, 4, 0, 4, 3, 4, 1, 0, 1, 0, 2, 0, 2, 1, 0, 4, 2, 3, 0, 0, 2, 3, 0, 0, 3, 3, 3, 4, 0, 3, 4, 3, 2, 3, 4, 4, 0, 4, 2, 2, 4, 1, 3, 0, 0, 1, 0, 4, 1, 3, 3, 3, 4, 3, 1, 0, 4, 4, 1, 2, 4, 4, 3, 0, 1, 0, 4, 1, 0, 1, 0, 4, 2, 2, 2, 1, 3, 1, 0, 2, 3, 3, 2, 0, 4, 2, 4, 2, 2, 4, 4, 2, 1, 0, 2, 0, 1, 2, 0, 4, 4, 0, 3, 1, 1, 0, 0, 4, 3, 4, 0, 2, 4, 1, 0, 0, 0, 2, 4]
pubkeycol1487 = [1, 4, 3, 3, 1, 3, 2, 1, 3, 4, 4, 3, 1, 3, 4, 2, 3, 4, 4, 1, 3, 4, 4, 1, 2, 3, 3, 4, 4, 1, 3, 2, 2, 1, 2, 3, 0, 0, 1, 4, 4, 1, 2, 3, 0, 4, 0, 0, 2, 0, 2, 3, 4, 0, 3, 3, 1, 4, 0, 1, 0, 1, 2, 2, 3, 0, 0, 0, 3, 0, 1, 1, 1, 4, 0, 0, 4, 4, 2, 4, 4, 3, 2, 1, 1, 4, 2, 2, 0, 2, 1, 1, 0, 3, 4, 0, 4, 0, 4, 4, 1, 0, 3, 4, 2, 1, 3, 3, 4, 3, 4, 2, 1, 1, 1, 3, 0, 3, 1, 1, 0, 1, 1, 2, 1, 0, 3, 1, 2, 4, 1, 1, 3, 4, 0, 1, 2, 4, 3, 1, 1, 1, 2, 2, 2, 3, 2, 0, 0, 2, 3, 1, 3, 3, 4, 4, 4, 1, 2, 4, 3, 2, 0, 2, 3, 3, 1, 4, 0, 2, 2, 4, 2, 2, 1, 4, 3, 2, 2, 3, 4, 3, 3, 3, 4, 3, 4, 3, 3, 2, 0, 0, 3, 0, 1, 0, 1, 0, 1, 1, 3, 0, 1, 0, 4, 1, 3, 2, 2, 3, 3, 3, 2, 3, 3, 2, 4, 2, 2, 0, 2, 2, 0, 4, 4, 1, 4, 3, 2, 4, 3, 1, 1, 2, 1, 0, 1, 0, 2, 2, 4, 3, 4, 0, 0, 4, 0, 3, 0, 1, 1, 3, 0, 3, 2, 0, 4, 3, 3, 1, 3, 3, 3, 2, 2, 1, 3, 4, 4, 3, 0, 0, 3, 2, 0, 1, 4, 2, 3, 1, 0, 2, 4, 1, 3, 4, 2, 4, 4, 1, 1, 0, 2, 4, 3, 2, 4, 0, 1, 0, 2, 4, 4, 3, 1, 4, 1, 2, 1, 2, 0, 4, 4, 0, 3, 1, 4, 4, 2, 1, 0, 1, 2, 2, 4, 2, 4, 4, 4, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 0, 3, 1, 1, 3, 3, 2, 4, 3, 2, 2, 0, 1, 2, 3, 3, 0, 3, 1, 4, 3, 0, 2, 2, 1, 1, 0, 1, 3, 4, 1, 4, 1, 1, 3, 2, 1, 1, 4, 2, 0, 4, 2, 1, 0, 0, 2, 2, 2, 0, 4, 2, 3, 4, 1, 3, 1, 0, 4, 3, 2, 4, 2, 0, 0, 0, 3, 1, 0, 1, 2, 0, 2, 1, 4, 0, 0, 2, 4, 2, 2, 3, 1, 4, 0, 1, 2, 2, 0, 3, 4, 2, 4, 2, 1, 2, 1, 1, 2, 3, 4, 2, 1, 3, 4, 2, 4, 1, 4, 3, 4, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 3, 1, 2, 3, 4, 3, 0, 1, 2, 0, 1, 3, 1, 4, 3, 2, 2, 2, 2, 2, 3, 2, 4, 1, 3, 2, 4, 0, 2, 0, 0, 4, 2, 1, 2, 3, 3, 3, 1, 1, 4, 3, 4, 2]
pubkeycol1488 = [3, 0, 1, 2, 3, 1, 0, 0, 2, 2, 1, 3, 0, 3, 4, 1, 1, 0, 0, 2, 0, 1, 4, 3, 3, 3, 2, 3, 2, 4, 2, 0, 4, 3, 3, 3, 2, 2, 4, 0, 2, 1, 4, 4, 4, 0, 1, 2, 0, 4, 3, 2, 2, 3, 2, 2, 4, 0, 2, 4, 1, 2, 1, 3, 2, 0, 2, 2, 1, 4, 3, 0, 0, 1, 0, 3, 4, 1, 4, 4, 0, 2, 2, 1, 3, 1, 0, 1, 1, 0, 1, 1, 4, 1, 1, 0, 0, 4, 3, 2, 0, 1, 0, 4, 0, 3, 1, 0, 4, 3, 2, 0, 0, 0, 3, 4, 0, 1, 2, 0, 1, 1, 3, 1, 3, 1, 4, 0, 3, 1, 4, 2, 3, 2, 3, 2, 1, 3, 3, 0, 2, 0, 4, 2, 2, 1, 3, 0, 4, 3, 3, 2, 1, 3, 2, 4, 4, 2, 1, 0, 2, 4, 1, 2, 1, 4, 2, 1, 2, 3, 2, 4, 2, 0, 2, 1, 1, 4, 1, 4, 1, 0, 2, 0, 4, 3, 2, 4, 4, 4, 0, 4, 4, 0, 3, 3, 2, 3, 4, 1, 1, 0, 2, 4, 3, 1, 3, 1, 3, 4, 3, 4, 1, 0, 1, 0, 3, 0, 4, 0, 1, 3, 0, 1, 3, 1, 2, 0, 2, 3, 4, 0, 1, 2, 0, 2, 0, 2, 0, 3, 3, 1, 1, 1, 4, 4, 1, 0, 2, 1, 4, 1, 1, 1, 4, 2, 0, 4, 1, 3, 4, 2, 1, 1, 1, 4, 1, 4, 1, 2, 2, 2, 3, 1, 1, 4, 2, 3, 0, 0, 0, 4, 0, 1, 3, 4, 4, 2, 4, 4, 1, 4, 0, 4, 2, 0, 0, 4, 4, 4, 4, 1, 2, 1, 4, 3, 1, 0, 3, 2, 4, 2, 4, 3, 3, 0, 4, 0, 4, 3, 2, 3, 4, 3, 2, 0, 0, 2, 4, 2, 1, 2, 4, 1, 4, 1, 0, 3, 2, 0, 4, 0, 2, 3, 4, 4, 4, 3, 0, 2, 3, 2, 3, 4, 3, 2, 0, 3, 0, 3, 0, 2, 3, 2, 3, 0, 3, 0, 0, 2, 2, 1, 3, 3, 1, 4, 1, 2, 0, 2, 1, 0, 0, 3, 4, 2, 3, 3, 1, 1, 1, 0, 2, 1, 4, 2, 3, 1, 1, 1, 4, 3, 3, 0, 3, 2, 3, 2, 4, 2, 2, 1, 4, 0, 1, 0, 4, 3, 4, 0, 0, 3, 2, 3, 0, 1, 2, 1, 2, 2, 4, 3, 4, 3, 3, 2, 0, 1, 4, 1, 4, 0, 3, 4, 2, 1, 1, 3, 3, 3, 3, 1, 0, 0, 3, 3, 3, 0, 3, 0, 2, 0, 3, 0, 3, 0, 2, 0, 1, 1, 4, 3, 2, 1, 1, 4, 2, 0, 1, 1, 3, 3, 2, 0, 1, 0, 2, 2, 3, 1, 4, 0, 2, 3, 3, 3, 4, 4, 4, 0, 2, 4, 2, 2, 2]
pubkeycol1489 = [0, 2, 0, 2, 1, 2, 4, 2, 1, 0, 1, 3, 4, 3, 3, 0, 1, 4, 2, 3, 4, 3, 2, 2, 4, 1, 1, 1, 0, 4, 0, 3, 4, 4, 2, 3, 4, 4, 1, 3, 0, 1, 1, 3, 0, 4, 2, 1, 1, 2, 0, 2, 2, 2, 4, 3, 2, 0, 1, 3, 1, 0, 3, 3, 2, 1, 3, 3, 3, 1, 2, 3, 0, 2, 2, 4, 4, 3, 4, 4, 3, 3, 4, 1, 1, 3, 0, 2, 2, 1, 4, 3, 2, 1, 0, 4, 0, 3, 1, 0, 4, 1, 0, 4, 1, 3, 2, 0, 0, 0, 3, 4, 1, 3, 4, 0, 2, 0, 1, 4, 0, 2, 4, 1, 4, 4, 0, 3, 3, 4, 0, 1, 3, 2, 2, 3, 1, 2, 2, 3, 1, 4, 0, 2, 4, 1, 1, 3, 3, 2, 1, 4, 4, 2, 4, 4, 1, 1, 3, 4, 1, 2, 2, 1, 0, 3, 3, 1, 4, 0, 1, 0, 1, 0, 2, 4, 4, 1, 0, 2, 3, 4, 2, 1, 0, 4, 4, 0, 0, 4, 1, 0, 4, 2, 4, 3, 4, 0, 4, 3, 3, 1, 0, 2, 4, 4, 3, 1, 0, 1, 0, 1, 3, 0, 3, 3, 4, 4, 2, 2, 0, 4, 1, 3, 1, 3, 3, 2, 4, 1, 4, 1, 3, 2, 2, 0, 1, 3, 0, 4, 2, 2, 4, 0, 1, 4, 3, 2, 4, 1, 1, 0, 3, 4, 2, 0, 2, 4, 4, 1, 4, 1, 3, 2, 1, 2, 4, 0, 0, 4, 0, 1, 3, 2, 3, 3, 4, 2, 2, 0, 3, 0, 3, 1, 4, 4, 3, 2, 1, 1, 4, 1, 3, 0, 2, 3, 2, 0, 1, 1, 1, 4, 1, 0, 4, 3, 1, 4, 4, 4, 0, 3, 2, 0, 1, 1, 1, 3, 2, 1, 2, 2, 4, 3, 4, 3, 4, 4, 3, 0, 1, 3, 3, 1, 4, 3, 1, 1, 2, 3, 4, 4, 3, 3, 2, 4, 4, 4, 2, 0, 2, 3, 3, 4, 1, 2, 1, 4, 1, 3, 0, 3, 4, 2, 3, 0, 1, 3, 0, 0, 2, 4, 1, 1, 1, 4, 4, 1, 0, 3, 0, 4, 1, 1, 3, 4, 2, 0, 4, 3, 1, 4, 0, 0, 4, 1, 2, 4, 0, 1, 4, 0, 3, 3, 0, 4, 4, 2, 4, 0, 1, 3, 1, 1, 1, 3, 4, 4, 0, 4, 1, 1, 2, 0, 4, 3, 3, 2, 0, 1, 3, 2, 3, 4, 4, 4, 2, 2, 1, 3, 4, 0, 4, 0, 2, 3, 4, 3, 0, 4, 1, 0, 3, 4, 0, 0, 3, 1, 1, 0, 1, 4, 3, 0, 0, 4, 4, 1, 2, 2, 3, 0, 4, 2, 0, 1, 2, 2, 2, 2, 1, 4, 3, 1, 4, 0, 0, 0, 3, 2, 2, 1, 1, 3, 2, 1, 1, 0, 1, 2, 1, 2, 3, 4, 3]
pubkeycol1490 = [4, 0, 0, 4, 2, 3, 1, 3, 3, 2, 3, 2, 4, 2, 0, 0, 3, 4, 2, 4, 0, 0, 2, 1, 1, 2, 2, 4, 4, 1, 3, 4, 2, 0, 4, 2, 3, 2, 1, 0, 3, 4, 3, 0, 2, 3, 2, 1, 3, 4, 1, 2, 3, 1, 2, 3, 3, 3, 2, 1, 4, 3, 3, 2, 3, 4, 4, 3, 0, 2, 2, 1, 1, 3, 2, 2, 3, 4, 0, 0, 2, 2, 2, 2, 0, 4, 1, 4, 2, 2, 0, 1, 4, 3, 0, 1, 4, 2, 4, 4, 1, 1, 4, 4, 2, 1, 3, 4, 1, 1, 0, 3, 1, 3, 4, 2, 0, 0, 3, 1, 1, 1, 1, 0, 2, 3, 4, 1, 3, 2, 3, 4, 2, 0, 1, 3, 4, 3, 2, 1, 4, 3, 3, 4, 3, 0, 2, 1, 4, 2, 1, 0, 2, 4, 1, 0, 2, 4, 2, 1, 3, 3, 3, 1, 4, 4, 1, 3, 1, 3, 2, 0, 3, 1, 0, 1, 0, 0, 0, 1, 3, 3, 3, 4, 4, 1, 1, 3, 4, 2, 2, 1, 4, 4, 2, 1, 1, 2, 0, 1, 0, 4, 0, 4, 2, 2, 0, 4, 0, 4, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 3, 4, 2, 1, 0, 3, 3, 0, 1, 2, 1, 3, 3, 2, 2, 1, 1, 2, 3, 0, 4, 0, 3, 3, 1, 1, 3, 1, 0, 3, 1, 3, 0, 4, 1, 0, 2, 2, 1, 2, 2, 0, 2, 4, 2, 4, 2, 0, 4, 2, 1, 1, 3, 3, 2, 2, 4, 3, 4, 2, 3, 1, 1, 1, 1, 1, 2, 0, 2, 4, 1, 2, 2, 2, 4, 0, 2, 0, 4, 3, 4, 3, 3, 0, 1, 1, 2, 2, 2, 2, 4, 1, 4, 3, 2, 2, 3, 2, 0, 3, 1, 4, 0, 3, 3, 3, 1, 4, 2, 3, 2, 2, 4, 0, 3, 2, 4, 4, 4, 3, 2, 0, 2, 4, 1, 4, 4, 4, 1, 3, 3, 2, 3, 0, 3, 2, 2, 1, 2, 4, 3, 0, 2, 0, 4, 2, 2, 0, 2, 0, 4, 2, 2, 3, 0, 4, 3, 3, 4, 4, 0, 3, 4, 0, 4, 3, 3, 3, 2, 2, 3, 0, 1, 3, 4, 2, 1, 1, 4, 1, 1, 3, 1, 2, 0, 1, 0, 3, 0, 1, 1, 4, 3, 1, 0, 4, 3, 0, 0, 1, 2, 2, 4, 1, 2, 0, 0, 2, 1, 4, 3, 1, 3, 3, 1, 1, 0, 3, 0, 3, 2, 2, 2, 0, 3, 0, 3, 0, 1, 0, 1, 3, 1, 3, 1, 4, 3, 4, 1, 0, 4, 1, 0, 2, 2, 0, 0, 2, 3, 3, 1, 0, 0, 3, 4, 3, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 3, 4, 0, 2, 0, 2, 1, 2, 0, 3]
pubkeycol1491 = [3, 0, 3, 0, 3, 1, 2, 4, 3, 0, 4, 0, 4, 2, 2, 3, 3, 1, 3, 3, 4, 4, 2, 4, 1, 3, 0, 4, 1, 1, 3, 1, 3, 0, 4, 2, 1, 3, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 3, 2, 2, 2, 0, 2, 4, 4, 4, 1, 3, 4, 1, 3, 1, 4, 3, 2, 3, 2, 0, 3, 0, 0, 4, 2, 4, 2, 4, 0, 0, 4, 1, 1, 2, 4, 0, 2, 1, 1, 1, 4, 2, 1, 3, 2, 2, 3, 4, 4, 3, 4, 2, 3, 0, 2, 1, 4, 0, 0, 3, 0, 0, 0, 1, 4, 3, 3, 4, 3, 0, 4, 2, 3, 1, 0, 4, 2, 2, 2, 2, 2, 4, 0, 2, 0, 4, 1, 2, 3, 3, 3, 1, 0, 1, 3, 3, 0, 3, 2, 0, 3, 0, 0, 1, 0, 2, 4, 0, 2, 1, 3, 1, 0, 2, 4, 1, 1, 4, 4, 3, 1, 3, 1, 2, 3, 2, 4, 1, 3, 0, 3, 3, 0, 4, 4, 0, 2, 4, 4, 4, 2, 4, 4, 4, 4, 1, 2, 0, 4, 2, 2, 2, 3, 3, 2, 0, 3, 3, 3, 1, 4, 4, 2, 2, 4, 3, 4, 3, 3, 2, 2, 2, 4, 2, 4, 0, 0, 3, 1, 1, 3, 0, 3, 1, 4, 4, 1, 3, 0, 0, 2, 3, 2, 2, 0, 1, 2, 4, 2, 4, 3, 2, 0, 3, 1, 0, 1, 4, 1, 0, 0, 3, 2, 2, 0, 4, 3, 1, 4, 4, 1, 1, 3, 3, 1, 4, 2, 0, 2, 2, 2, 0, 1, 1, 0, 3, 0, 2, 4, 1, 4, 1, 0, 3, 3, 3, 3, 3, 1, 2, 0, 1, 4, 4, 1, 2, 0, 3, 3, 2, 1, 0, 3, 0, 4, 0, 3, 2, 4, 3, 0, 1, 1, 4, 1, 1, 4, 1, 2, 1, 4, 3, 0, 4, 3, 4, 1, 4, 4, 4, 3, 2, 3, 0, 3, 1, 4, 4, 3, 4, 0, 1, 1, 4, 2, 1, 0, 1, 2, 0, 3, 3, 4, 4, 0, 2, 4, 2, 0, 0, 2, 0, 3, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 3, 1, 1, 3, 1, 4, 1, 2, 3, 0, 2, 3, 4, 2, 0, 2, 2, 2, 0, 1, 3, 3, 1, 2, 1, 4, 0, 2, 0, 3, 1, 0, 0, 1, 2, 1, 0, 3, 4, 0, 1, 4, 2, 1, 2, 1, 2, 4, 0, 2, 2, 4, 2, 2, 4, 0, 0, 3, 0, 3, 2, 1, 1, 3, 2, 1, 0, 4, 1, 3, 0, 2, 0, 2, 1, 4, 3, 1, 1, 4, 4, 0, 4, 1, 3, 1, 2, 3, 2, 1, 3, 2, 4, 3, 0, 3, 4, 4, 0, 1, 2, 0, 0, 0, 3, 4, 3, 1, 3, 1, 1, 3, 3, 4, 1, 3, 3, 4, 3, 1]
pubkeycol1492 = [1, 4, 1, 3, 3, 3, 0, 4, 2, 3, 4, 2, 0, 3, 2, 3, 3, 4, 0, 3, 4, 3, 2, 1, 0, 4, 0, 0, 2, 4, 2, 1, 2, 3, 2, 3, 4, 4, 0, 2, 4, 3, 4, 0, 4, 2, 2, 2, 0, 0, 0, 3, 4, 3, 2, 3, 2, 3, 3, 2, 4, 2, 3, 4, 1, 2, 4, 0, 3, 1, 3, 1, 3, 3, 3, 2, 0, 3, 0, 2, 1, 0, 3, 1, 2, 0, 1, 0, 4, 2, 0, 4, 0, 4, 3, 4, 2, 1, 4, 2, 4, 1, 4, 2, 2, 2, 2, 2, 4, 0, 3, 4, 3, 0, 0, 3, 0, 1, 3, 0, 1, 0, 2, 1, 1, 3, 4, 3, 1, 0, 3, 2, 0, 2, 0, 3, 4, 4, 2, 4, 1, 3, 4, 3, 4, 1, 0, 0, 4, 2, 1, 2, 0, 3, 1, 2, 1, 2, 1, 3, 4, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 3, 3, 4, 4, 3, 2, 1, 4, 1, 0, 4, 1, 2, 4, 4, 4, 3, 0, 2, 2, 0, 2, 2, 1, 0, 3, 0, 1, 4, 1, 2, 1, 0, 1, 3, 2, 2, 3, 2, 4, 0, 2, 4, 3, 4, 4, 3, 2, 3, 1, 3, 1, 1, 4, 3, 1, 0, 3, 4, 0, 3, 3, 4, 1, 0, 4, 1, 0, 0, 2, 3, 0, 0, 2, 3, 2, 2, 4, 2, 4, 1, 4, 1, 2, 4, 1, 2, 1, 3, 2, 3, 1, 1, 4, 1, 0, 1, 2, 1, 1, 2, 2, 3, 0, 0, 4, 4, 0, 0, 4, 2, 3, 2, 0, 0, 3, 1, 4, 1, 4, 3, 0, 3, 3, 3, 2, 0, 2, 1, 4, 3, 4, 1, 2, 0, 0, 0, 1, 3, 4, 3, 2, 2, 2, 1, 0, 4, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 3, 3, 4, 0, 0, 3, 1, 4, 3, 4, 3, 3, 4, 3, 2, 0, 0, 2, 4, 2, 3, 0, 2, 3, 0, 1, 3, 3, 4, 2, 2, 4, 2, 3, 0, 4, 1, 2, 4, 3, 4, 2, 0, 4, 1, 4, 0, 1, 1, 1, 2, 4, 3, 1, 2, 4, 4, 0, 2, 4, 4, 0, 4, 4, 1, 3, 4, 1, 1, 1, 0, 3, 4, 4, 0, 0, 1, 3, 3, 0, 2, 1, 4, 4, 0, 4, 2, 4, 2, 1, 4, 4, 0, 3, 2, 1, 4, 0, 2, 0, 4, 1, 0, 1, 2, 3, 0, 1, 4, 4, 3, 4, 2, 0, 2, 1, 4, 1, 0, 4, 0, 1, 1, 1, 0, 3, 2, 0, 1, 3, 1, 2, 1, 3, 3, 4, 0, 1, 4, 2, 4, 4, 0, 0, 4, 2, 3, 4, 1, 2, 3, 3, 3, 3, 2, 0, 2, 1, 3, 3, 3, 4, 0, 3, 3, 3, 1, 3, 4, 4, 1]
pubkeycol1493 = [3, 2, 0, 2, 2, 2, 2, 1, 0, 3, 1, 3, 3, 0, 2, 1, 2, 0, 3, 1, 4, 0, 2, 2, 0, 3, 0, 2, 0, 3, 0, 1, 2, 2, 2, 0, 0, 3, 1, 1, 4, 2, 4, 1, 1, 1, 3, 1, 4, 2, 2, 2, 3, 4, 3, 3, 0, 3, 3, 0, 1, 4, 2, 2, 4, 0, 1, 0, 0, 3, 1, 3, 0, 2, 0, 1, 1, 2, 2, 2, 3, 1, 3, 0, 3, 1, 0, 0, 1, 4, 2, 1, 0, 2, 3, 4, 1, 4, 2, 4, 4, 4, 2, 0, 3, 0, 4, 4, 3, 0, 4, 2, 2, 2, 4, 3, 3, 4, 2, 3, 0, 3, 3, 2, 0, 2, 3, 3, 2, 3, 3, 2, 0, 0, 4, 4, 0, 1, 2, 2, 2, 2, 2, 1, 2, 4, 2, 3, 4, 2, 3, 4, 0, 4, 3, 0, 1, 4, 0, 4, 2, 0, 0, 4, 3, 1, 2, 4, 0, 2, 3, 1, 0, 0, 3, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 4, 4, 3, 0, 4, 4, 0, 1, 0, 4, 2, 1, 0, 2, 4, 1, 4, 3, 2, 2, 2, 4, 3, 2, 1, 0, 4, 1, 2, 0, 1, 2, 1, 4, 3, 4, 1, 4, 3, 1, 2, 1, 2, 3, 1, 2, 2, 3, 1, 0, 0, 1, 3, 1, 3, 4, 3, 2, 0, 2, 1, 1, 2, 4, 2, 4, 0, 4, 3, 4, 2, 0, 0, 1, 4, 0, 3, 3, 0, 1, 4, 2, 2, 3, 1, 4, 0, 2, 0, 1, 1, 2, 3, 1, 4, 4, 1, 4, 0, 1, 1, 3, 2, 1, 4, 3, 3, 0, 2, 3, 3, 2, 1, 0, 0, 2, 2, 2, 0, 3, 1, 0, 0, 1, 3, 3, 1, 2, 4, 4, 4, 2, 1, 1, 3, 1, 1, 3, 1, 2, 0, 2, 4, 4, 4, 1, 2, 4, 3, 0, 2, 4, 0, 0, 2, 1, 1, 4, 1, 0, 4, 4, 4, 3, 1, 3, 4, 0, 0, 1, 0, 3, 3, 3, 0, 1, 3, 2, 3, 3, 4, 1, 1, 2, 0, 3, 1, 2, 1, 0, 4, 1, 1, 2, 2, 4, 0, 4, 2, 1, 4, 2, 3, 4, 4, 0, 3, 3, 2, 3, 3, 0, 3, 3, 0, 1, 2, 3, 1, 2, 4, 1, 4, 4, 1, 2, 1, 4, 4, 2, 0, 1, 1, 2, 2, 4, 0, 2, 3, 1, 1, 0, 1, 4, 1, 3, 0, 1, 1, 0, 3, 4, 3, 1, 3, 2, 1, 2, 1, 2, 2, 2, 4, 1, 0, 4, 0, 3, 1, 2, 2, 2, 1, 3, 1, 0, 2, 3, 4, 0, 0, 4, 2, 2, 3, 1, 1, 0, 1, 2, 4, 2, 0, 3, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 3, 1, 1, 3, 2, 4, 3, 3, 3, 2, 2, 0, 3, 1]
pubkeycol1494 = [0, 0, 3, 2, 0, 1, 3, 4, 2, 4, 4, 0, 1, 1, 1, 4, 3, 2, 3, 4, 3, 1, 2, 0, 1, 2, 3, 0, 0, 0, 1, 4, 0, 4, 3, 1, 4, 3, 0, 0, 1, 4, 3, 3, 1, 4, 3, 4, 2, 3, 3, 2, 1, 2, 3, 0, 3, 1, 1, 0, 3, 2, 2, 0, 4, 4, 0, 1, 4, 1, 3, 4, 4, 1, 0, 3, 3, 4, 4, 1, 2, 1, 1, 3, 4, 0, 0, 0, 4, 2, 2, 2, 3, 4, 0, 2, 2, 0, 1, 4, 0, 1, 0, 3, 0, 0, 0, 0, 1, 4, 4, 1, 2, 0, 0, 4, 1, 4, 1, 3, 1, 0, 0, 0, 4, 3, 1, 4, 4, 2, 1, 1, 0, 1, 3, 2, 0, 2, 2, 2, 0, 2, 3, 2, 1, 1, 0, 2, 0, 1, 2, 2, 4, 2, 0, 1, 3, 3, 1, 2, 2, 0, 4, 0, 2, 1, 4, 4, 4, 4, 1, 2, 4, 3, 4, 2, 0, 1, 4, 4, 1, 0, 0, 2, 1, 3, 3, 1, 1, 2, 3, 4, 3, 1, 0, 2, 0, 0, 4, 0, 1, 2, 3, 1, 0, 2, 4, 2, 2, 2, 1, 1, 1, 1, 4, 4, 3, 0, 0, 1, 4, 0, 3, 0, 1, 4, 4, 4, 1, 3, 3, 3, 0, 0, 0, 2, 4, 3, 3, 3, 0, 3, 1, 1, 0, 0, 4, 2, 0, 0, 4, 4, 0, 2, 2, 0, 3, 3, 4, 3, 0, 0, 3, 0, 0, 0, 1, 3, 2, 1, 2, 2, 0, 1, 3, 0, 4, 0, 4, 4, 1, 1, 0, 1, 1, 1, 4, 2, 3, 3, 4, 2, 0, 4, 0, 3, 2, 4, 0, 3, 1, 2, 4, 0, 1, 3, 1, 3, 3, 2, 3, 2, 1, 0, 4, 3, 0, 3, 0, 4, 4, 3, 3, 2, 4, 0, 1, 2, 2, 2, 4, 3, 2, 4, 4, 3, 3, 3, 4, 1, 4, 1, 1, 3, 3, 1, 0, 2, 1, 1, 3, 3, 1, 3, 3, 1, 2, 0, 4, 3, 3, 0, 1, 0, 0, 1, 3, 0, 3, 3, 2, 3, 1, 2, 3, 2, 0, 2, 0, 1, 2, 4, 1, 3, 1, 2, 2, 3, 0, 4, 1, 0, 3, 4, 4, 2, 1, 0, 3, 0, 3, 1, 4, 2, 4, 4, 3, 1, 1, 4, 1, 3, 1, 2, 3, 4, 2, 2, 3, 2, 2, 0, 0, 1, 1, 1, 3, 3, 4, 1, 1, 0, 2, 4, 4, 0, 4, 1, 4, 1, 0, 0, 1, 0, 4, 1, 2, 4, 0, 0, 1, 4, 1, 3, 0, 1, 4, 0, 3, 0, 1, 2, 4, 0, 4, 3, 3, 4, 3, 0, 1, 1, 3, 4, 0, 4, 1, 0, 3, 1, 3, 2, 2, 1, 3, 3, 0, 0, 2, 4, 0, 1, 0, 3, 2, 2, 0, 3, 4, 2, 4, 3, 2, 2, 3]
pubkeycol1495 = [1, 0, 4, 4, 4, 1, 0, 2, 3, 3, 1, 0, 4, 3, 3, 4, 1, 4, 2, 2, 3, 3, 2, 0, 0, 2, 3, 2, 1, 2, 4, 1, 2, 3, 3, 1, 0, 3, 1, 4, 4, 1, 0, 1, 2, 3, 1, 1, 3, 4, 4, 2, 4, 3, 3, 3, 0, 3, 2, 2, 2, 0, 0, 0, 3, 0, 0, 3, 3, 3, 1, 2, 0, 1, 0, 4, 1, 0, 4, 3, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 3, 0, 0, 1, 1, 4, 1, 1, 4, 0, 4, 3, 4, 1, 4, 1, 1, 1, 0, 1, 2, 1, 2, 3, 0, 2, 4, 2, 1, 3, 1, 4, 0, 3, 2, 4, 3, 3, 1, 0, 4, 4, 3, 1, 0, 3, 2, 2, 1, 4, 1, 0, 4, 4, 0, 4, 1, 1, 1, 3, 4, 3, 1, 4, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 4, 0, 0, 1, 1, 2, 2, 1, 0, 3, 2, 0, 2, 3, 4, 2, 0, 2, 4, 3, 0, 2, 4, 4, 4, 2, 4, 3, 0, 3, 4, 4, 0, 4, 2, 4, 0, 0, 0, 1, 1, 1, 1, 3, 3, 1, 4, 3, 3, 4, 0, 1, 2, 2, 2, 3, 3, 0, 1, 3, 3, 3, 1, 0, 0, 2, 1, 2, 1, 3, 3, 0, 1, 2, 1, 1, 0, 4, 1, 2, 0, 1, 3, 3, 4, 1, 2, 4, 2, 0, 0, 1, 0, 2, 0, 3, 2, 2, 0, 2, 4, 1, 1, 0, 4, 1, 1, 4, 4, 0, 1, 2, 1, 4, 2, 4, 4, 3, 3, 0, 3, 2, 2, 2, 1, 0, 1, 2, 1, 3, 1, 3, 0, 4, 0, 3, 1, 0, 0, 1, 0, 3, 1, 4, 3, 0, 0, 0, 4, 4, 1, 4, 2, 4, 3, 2, 4, 3, 4, 1, 1, 0, 4, 3, 1, 3, 4, 4, 1, 3, 2, 1, 0, 4, 0, 3, 3, 3, 3, 1, 4, 0, 0, 4, 2, 1, 2, 1, 0, 3, 1, 4, 2, 0, 4, 3, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 3, 1, 2, 4, 3, 2, 4, 2, 3, 2, 3, 2, 1, 0, 3, 0, 2, 0, 1, 1, 0, 0, 4, 2, 1, 4, 3, 1, 1, 4, 3, 3, 0, 2, 0, 3, 2, 0, 4, 0, 4, 0, 3, 2, 2, 1, 1, 4, 0, 4, 3, 0, 0, 3, 4, 2, 1, 3, 0, 1, 0, 1, 4, 3, 1, 1, 2, 0, 4, 3, 0, 0, 1, 4, 2, 3, 3, 3, 3, 2, 4, 0, 2, 3, 1, 3, 1, 1, 3, 0, 2, 4, 4, 4, 3, 2, 1, 2, 0, 3, 1, 1, 3, 1, 4, 3, 4, 2, 4, 1, 4, 4, 1, 3, 0, 1, 2, 3, 3, 0, 4, 0, 1, 3, 1, 3, 4, 1, 1, 4, 1, 1, 2, 2]
pubkeycol1496 = [0, 4, 3, 1, 3, 1, 4, 2, 3, 4, 3, 0, 2, 1, 3, 4, 3, 1, 4, 4, 3, 1, 1, 1, 2, 1, 2, 2, 3, 0, 4, 4, 1, 3, 1, 0, 1, 0, 3, 2, 0, 2, 3, 1, 1, 3, 1, 0, 3, 0, 3, 4, 0, 3, 4, 2, 4, 4, 1, 3, 2, 3, 1, 3, 2, 1, 1, 2, 2, 0, 0, 3, 1, 2, 0, 3, 2, 3, 2, 0, 2, 4, 4, 3, 4, 3, 2, 4, 0, 0, 2, 4, 3, 3, 1, 2, 3, 3, 0, 2, 0, 4, 3, 0, 1, 0, 2, 4, 3, 0, 0, 0, 2, 4, 3, 3, 0, 0, 0, 4, 1, 2, 2, 3, 3, 4, 1, 1, 0, 4, 4, 2, 1, 0, 0, 2, 2, 0, 1, 0, 3, 2, 2, 0, 2, 4, 3, 0, 3, 0, 2, 3, 4, 1, 0, 0, 1, 1, 2, 0, 3, 4, 3, 0, 1, 4, 1, 2, 4, 0, 4, 3, 0, 3, 4, 4, 3, 2, 3, 3, 0, 0, 3, 3, 4, 2, 3, 3, 1, 3, 2, 3, 2, 3, 3, 1, 2, 0, 0, 4, 3, 3, 0, 2, 0, 0, 1, 4, 1, 2, 1, 1, 3, 0, 4, 2, 3, 2, 4, 2, 0, 3, 4, 1, 0, 3, 4, 2, 1, 1, 2, 1, 4, 2, 3, 4, 0, 2, 2, 1, 2, 3, 0, 4, 4, 3, 2, 2, 2, 3, 1, 4, 4, 4, 2, 4, 0, 1, 2, 0, 1, 4, 0, 2, 4, 1, 2, 0, 4, 4, 1, 1, 0, 4, 0, 3, 4, 0, 3, 0, 1, 2, 3, 0, 3, 3, 1, 0, 1, 1, 3, 2, 1, 0, 4, 3, 1, 1, 3, 0, 4, 0, 3, 1, 2, 0, 2, 0, 1, 2, 4, 4, 0, 1, 4, 2, 4, 3, 0, 0, 2, 4, 0, 2, 1, 1, 3, 3, 2, 2, 2, 0, 1, 1, 3, 0, 4, 1, 0, 1, 3, 4, 3, 4, 0, 0, 2, 3, 2, 3, 4, 4, 3, 3, 1, 3, 4, 2, 3, 4, 2, 1, 4, 0, 2, 0, 1, 1, 1, 1, 2, 4, 0, 1, 4, 1, 3, 0, 0, 1, 1, 3, 1, 0, 0, 0, 2, 2, 2, 1, 3, 1, 0, 0, 4, 0, 0, 4, 1, 0, 4, 4, 2, 4, 2, 4, 0, 0, 2, 4, 4, 3, 4, 0, 1, 0, 0, 3, 2, 3, 3, 2, 3, 2, 4, 1, 3, 3, 2, 1, 1, 1, 2, 4, 4, 3, 4, 1, 4, 1, 4, 2, 4, 2, 0, 2, 2, 0, 1, 3, 4, 2, 1, 0, 1, 3, 0, 0, 0, 1, 1, 1, 4, 1, 1, 1, 3, 4, 1, 4, 2, 1, 1, 4, 2, 3, 2, 4, 3, 1, 3, 4, 3, 2, 0, 3, 1, 1, 1, 4, 4, 2, 2, 0, 0, 2, 4, 4, 0, 2, 1, 2, 0, 3, 1]
pubkeycol1497 = [2, 1, 1, 3, 2, 2, 2, 4, 1, 2, 3, 1, 4, 0, 1, 0, 4, 0, 0, 0, 2, 2, 2, 3, 1, 1, 1, 4, 4, 3, 1, 0, 3, 1, 0, 3, 1, 4, 1, 3, 3, 3, 3, 4, 3, 3, 4, 1, 4, 2, 1, 1, 2, 2, 1, 2, 1, 1, 4, 2, 1, 3, 4, 4, 0, 0, 1, 0, 4, 1, 2, 2, 0, 1, 4, 4, 4, 3, 0, 3, 0, 1, 3, 1, 1, 3, 1, 2, 1, 1, 4, 1, 4, 1, 4, 4, 3, 0, 2, 4, 4, 0, 2, 2, 3, 0, 0, 2, 4, 1, 3, 3, 3, 2, 2, 2, 0, 4, 1, 4, 3, 1, 4, 4, 2, 0, 4, 2, 1, 2, 3, 1, 3, 4, 1, 0, 4, 4, 0, 1, 2, 3, 3, 4, 1, 4, 1, 0, 1, 1, 3, 3, 3, 4, 0, 3, 1, 4, 3, 2, 3, 4, 1, 4, 1, 2, 4, 4, 1, 4, 2, 4, 1, 3, 0, 0, 2, 3, 4, 3, 0, 1, 2, 4, 3, 4, 1, 4, 0, 3, 4, 3, 0, 1, 2, 1, 3, 0, 0, 1, 2, 0, 3, 3, 2, 2, 1, 0, 2, 3, 3, 4, 1, 4, 2, 1, 3, 2, 3, 1, 2, 2, 3, 4, 3, 2, 4, 0, 4, 4, 0, 3, 0, 3, 4, 0, 0, 3, 1, 1, 3, 2, 4, 3, 0, 4, 2, 2, 2, 3, 0, 2, 3, 4, 2, 3, 2, 0, 2, 4, 3, 1, 3, 2, 0, 1, 4, 3, 2, 2, 4, 2, 1, 4, 0, 4, 2, 2, 2, 1, 1, 1, 3, 0, 3, 1, 2, 4, 3, 2, 4, 1, 3, 3, 2, 2, 1, 2, 1, 0, 2, 1, 2, 3, 0, 3, 4, 1, 0, 3, 0, 2, 3, 3, 1, 4, 4, 1, 3, 3, 0, 3, 1, 2, 0, 0, 2, 2, 4, 4, 3, 1, 3, 2, 3, 1, 0, 3, 4, 4, 0, 0, 0, 2, 0, 1, 2, 0, 3, 0, 1, 1, 1, 1, 3, 3, 4, 2, 3, 4, 3, 2, 3, 4, 1, 1, 1, 3, 2, 2, 3, 4, 3, 3, 0, 2, 2, 2, 3, 0, 1, 3, 3, 2, 1, 3, 4, 1, 0, 3, 0, 2, 4, 4, 0, 1, 0, 3, 2, 2, 3, 3, 4, 3, 3, 4, 1, 3, 0, 0, 1, 3, 0, 4, 4, 2, 0, 1, 4, 1, 2, 2, 2, 2, 1, 2, 4, 4, 3, 1, 2, 4, 4, 3, 4, 3, 2, 1, 3, 0, 0, 0, 4, 1, 2, 2, 3, 3, 2, 0, 0, 4, 1, 2, 1, 2, 1, 3, 1, 1, 4, 2, 3, 4, 3, 1, 2, 1, 0, 0, 3, 3, 4, 2, 4, 4, 1, 2, 2, 4, 2, 2, 1, 3, 4, 3, 0, 2, 0, 2, 1, 2, 1, 1, 4, 0, 4, 3, 1, 2, 0, 1, 2, 3, 0]
pubkeycol1498 = [0, 4, 0, 3, 4, 1, 0, 1, 1, 4, 4, 2, 2, 0, 4, 0, 3, 1, 0, 0, 4, 1, 4, 4, 0, 4, 2, 1, 3, 2, 4, 1, 2, 0, 0, 0, 2, 4, 2, 2, 4, 1, 0, 3, 2, 0, 3, 3, 1, 4, 3, 4, 4, 3, 1, 2, 3, 4, 0, 1, 3, 0, 0, 3, 4, 0, 1, 4, 2, 1, 2, 2, 1, 4, 2, 4, 1, 4, 4, 3, 2, 0, 1, 4, 2, 3, 1, 2, 3, 2, 0, 3, 1, 2, 3, 2, 1, 4, 2, 2, 3, 2, 0, 2, 0, 4, 2, 2, 1, 3, 0, 2, 0, 2, 0, 1, 3, 0, 4, 2, 4, 0, 0, 0, 4, 3, 3, 0, 4, 0, 0, 2, 2, 2, 1, 3, 0, 1, 2, 0, 0, 2, 0, 1, 3, 4, 1, 0, 1, 2, 0, 3, 1, 1, 4, 1, 2, 1, 4, 3, 3, 3, 1, 4, 0, 3, 2, 4, 1, 0, 4, 0, 2, 2, 3, 1, 3, 3, 2, 3, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 3, 4, 4, 4, 2, 4, 1, 2, 0, 4, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 3, 1, 0, 0, 4, 4, 3, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 4, 0, 2, 4, 4, 2, 3, 1, 3, 2, 2, 0, 0, 3, 0, 2, 2, 0, 4, 3, 0, 0, 0, 0, 0, 3, 3, 4, 0, 4, 0, 2, 3, 1, 3, 2, 2, 3, 0, 3, 1, 2, 2, 2, 1, 0, 3, 1, 3, 1, 3, 3, 1, 4, 2, 4, 1, 3, 2, 1, 1, 2, 0, 2, 2, 4, 0, 4, 3, 4, 2, 4, 2, 4, 2, 4, 4, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 0, 4, 1, 0, 4, 2, 0, 2, 3, 2, 1, 3, 0, 4, 0, 3, 0, 2, 3, 2, 3, 1, 3, 2, 1, 0, 1, 4, 0, 1, 4, 4, 3, 0, 0, 4, 4, 4, 3, 1, 1, 1, 3, 3, 0, 3, 3, 0, 3, 4, 1, 1, 1, 4, 3, 2, 0, 4, 1, 0, 3, 4, 2, 4, 3, 1, 4, 2, 2, 0, 4, 4, 0, 3, 0, 0, 4, 3, 3, 3, 0, 3, 4, 3, 4, 2, 3, 3, 1, 4, 1, 0, 0, 4, 0, 0, 0, 1, 1, 3, 2, 1, 2, 2, 1, 2, 2, 3, 0, 2, 4, 3, 2, 3, 2, 2, 0, 0, 2, 3, 1, 2, 3, 3, 0, 1, 1, 4, 3, 4, 2, 4, 2, 1, 1, 0, 2, 4, 2, 0, 2, 4, 0, 2, 0, 2, 2, 3, 4, 2, 1, 0, 0, 1, 2, 3, 2, 0, 0, 2, 1, 0, 3, 2, 2, 1, 4, 4, 3, 3, 4, 3, 3, 3, 3, 2, 2, 0, 4, 2, 4, 1, 1, 0, 3, 3, 4]
pubkeycol1499 = [2, 2, 1, 3, 1, 2, 0, 0, 3, 1, 1, 4, 0, 4, 4, 3, 0, 2, 0, 3, 0, 2, 0, 2, 2, 3, 2, 3, 4, 4, 0, 3, 2, 2, 3, 4, 3, 3, 2, 4, 3, 1, 3, 4, 2, 3, 0, 0, 4, 0, 1, 0, 4, 0, 2, 4, 4, 0, 0, 0, 0, 2, 0, 0, 1, 4, 0, 1, 3, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 3, 2, 4, 3, 0, 1, 3, 0, 4, 2, 1, 3, 0, 1, 2, 2, 2, 4, 3, 0, 4, 1, 2, 4, 2, 4, 0, 1, 4, 0, 4, 4, 4, 3, 0, 2, 3, 2, 2, 2, 3, 3, 3, 4, 2, 0, 3, 1, 3, 2, 3, 4, 3, 3, 0, 0, 4, 2, 0, 0, 4, 1, 1, 4, 1, 2, 2, 4, 3, 0, 4, 4, 2, 0, 4, 4, 0, 4, 1, 0, 2, 4, 0, 3, 1, 2, 1, 2, 2, 4, 3, 4, 1, 2, 2, 0, 2, 1, 2, 2, 3, 4, 4, 0, 3, 0, 0, 2, 4, 4, 4, 1, 3, 0, 0, 1, 0, 2, 3, 0, 2, 1, 0, 0, 3, 0, 2, 2, 1, 4, 2, 0, 2, 2, 4, 4, 0, 0, 3, 2, 2, 4, 4, 4, 2, 1, 2, 2, 3, 3, 2, 3, 1, 1, 2, 2, 4, 2, 3, 3, 2, 4, 1, 3, 4, 0, 1, 3, 2, 1, 3, 1, 2, 4, 0, 0, 2, 1, 2, 4, 1, 3, 4, 3, 1, 4, 2, 3, 4, 2, 2, 1, 1, 1, 2, 3, 0, 4, 0, 4, 2, 0, 2, 1, 3, 3, 4, 4, 0, 2, 4, 2, 2, 0, 4, 2, 3, 4, 4, 2, 1, 0, 3, 1, 3, 0, 2, 1, 3, 4, 4, 0, 2, 3, 4, 3, 1, 4, 3, 2, 1, 2, 3, 3, 4, 2, 4, 3, 4, 2, 0, 1, 2, 2, 4, 3, 3, 0, 3, 4, 1, 1, 3, 3, 1, 1, 0, 2, 3, 1, 1, 4, 3, 1, 4, 2, 3, 2, 3, 1, 4, 3, 1, 2, 2, 0, 2, 4, 0, 2, 3, 4, 4, 4, 4, 3, 0, 4, 4, 0, 4, 1, 1, 0, 0, 4, 4, 2, 2, 3, 1, 2, 0, 3, 2, 1, 4, 3, 1, 0, 1, 2, 0, 4, 3, 1, 4, 2, 2, 3, 4, 0, 3, 1, 1, 4, 2, 3, 2, 2, 4, 0, 4, 4, 1, 1, 3, 1, 1, 0, 3, 3, 2, 4, 0, 1, 1, 4, 2, 1, 3, 3, 0, 2, 2, 0, 3, 1, 1, 3, 4, 4, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 4, 3, 1, 4, 2, 4, 4, 1, 1, 3, 4, 2, 4, 3, 4, 0, 1, 1, 1, 0, 3, 1, 1, 4, 0, 1, 3, 1, 1, 3, 1, 1, 0, 4, 0, 0, 0, 3, 2, 3, 0, 1]
pubkeycol1500 = [1, 4, 2, 1, 4, 4, 0, 2, 3, 2, 3, 4, 1, 4, 1, 2, 1, 4, 2, 4, 4, 2, 2, 1, 4, 3, 3, 3, 3, 3, 4, 4, 0, 2, 0, 2, 2, 3, 0, 4, 4, 3, 2, 1, 1, 3, 1, 0, 0, 4, 1, 0, 4, 1, 3, 2, 3, 4, 0, 4, 3, 2, 4, 0, 1, 4, 0, 4, 1, 2, 3, 4, 1, 2, 2, 3, 3, 2, 1, 0, 2, 4, 4, 2, 1, 1, 3, 4, 3, 0, 4, 4, 4, 0, 3, 0, 3, 4, 3, 4, 2, 3, 4, 1, 1, 0, 1, 0, 2, 4, 2, 0, 2, 2, 3, 0, 1, 1, 3, 0, 0, 2, 1, 2, 2, 2, 2, 4, 3, 4, 3, 2, 2, 0, 0, 1, 0, 1, 3, 3, 0, 0, 4, 1, 2, 2, 0, 3, 1, 3, 0, 2, 3, 0, 4, 1, 3, 2, 2, 2, 4, 0, 3, 1, 4, 3, 1, 2, 4, 3, 4, 0, 4, 2, 4, 0, 0, 0, 3, 0, 1, 3, 2, 4, 3, 1, 2, 3, 0, 2, 3, 2, 1, 3, 1, 2, 2, 2, 2, 3, 0, 1, 1, 0, 2, 0, 0, 3, 0, 1, 4, 1, 3, 1, 1, 0, 1, 0, 2, 2, 1, 0, 3, 4, 0, 4, 0, 3, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 4, 3, 3, 2, 1, 4, 1, 1, 2, 3, 1, 1, 1, 1, 2, 2, 2, 4, 3, 0, 3, 4, 0, 1, 0, 1, 4, 2, 3, 4, 1, 2, 3, 1, 4, 2, 4, 3, 0, 3, 1, 4, 4, 4, 4, 3, 1, 4, 4, 0, 3, 0, 0, 0, 3, 3, 4, 3, 3, 3, 0, 2, 2, 4, 4, 3, 1, 1, 1, 2, 1, 3, 2, 4, 3, 4, 0, 4, 2, 0, 3, 1, 2, 4, 0, 2, 3, 3, 4, 0, 2, 3, 2, 2, 1, 2, 2, 4, 1, 4, 2, 4, 1, 0, 0, 2, 2, 4, 2, 0, 3, 4, 1, 3, 4, 2, 2, 4, 3, 3, 1, 3, 2, 1, 4, 4, 2, 1, 1, 3, 1, 2, 4, 3, 0, 3, 4, 2, 0, 0, 1, 0, 2, 4, 0, 2, 0, 4, 1, 1, 2, 1, 4, 0, 0, 0, 1, 3, 3, 2, 4, 0, 0, 2, 3, 1, 1, 3, 1, 0, 2, 2, 4, 0, 3, 3, 4, 0, 2, 0, 1, 1, 3, 0, 0, 3, 3, 0, 3, 2, 0, 3, 1, 3, 3, 3, 3, 3, 2, 0, 2, 3, 1, 4, 4, 3, 2, 4, 0, 4, 1, 4, 1, 2, 4, 4, 2, 1, 0, 1, 0, 3, 0, 4, 2, 0, 1, 3, 3, 3, 1, 3, 4, 3, 1, 4, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 3, 1, 0, 3, 3, 4, 1, 0, 3, 2, 3, 2, 4, 4, 2, 0, 4, 1, 0]
pubkeycol1501 = [0, 2, 0, 3, 3, 0, 2, 4, 0, 4, 1, 3, 2, 2, 2, 1, 3, 2, 4, 3, 2, 4, 4, 1, 1, 2, 0, 1, 1, 0, 1, 3, 3, 1, 4, 0, 4, 4, 4, 1, 2, 4, 2, 2, 1, 1, 4, 4, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 3, 1, 4, 4, 1, 4, 4, 2, 1, 4, 3, 1, 0, 0, 3, 0, 2, 2, 4, 4, 1, 2, 3, 1, 0, 4, 1, 2, 4, 0, 0, 3, 0, 0, 4, 3, 1, 2, 1, 2, 4, 0, 2, 4, 4, 0, 2, 2, 4, 2, 2, 3, 2, 4, 4, 0, 3, 4, 3, 2, 0, 4, 1, 1, 0, 4, 2, 3, 1, 0, 4, 4, 1, 0, 3, 4, 3, 4, 2, 2, 1, 3, 3, 1, 3, 3, 2, 2, 3, 0, 2, 0, 0, 3, 4, 1, 1, 2, 2, 4, 0, 1, 3, 2, 1, 0, 1, 4, 0, 3, 1, 1, 3, 3, 4, 4, 0, 2, 2, 0, 3, 0, 1, 1, 4, 3, 2, 3, 3, 0, 0, 0, 0, 1, 2, 3, 3, 0, 1, 4, 1, 0, 4, 4, 0, 3, 2, 1, 4, 2, 3, 2, 4, 0, 1, 1, 3, 3, 3, 1, 3, 4, 4, 3, 1, 2, 4, 3, 1, 0, 0, 0, 0, 2, 0, 2, 4, 4, 2, 2, 3, 4, 0, 1, 2, 3, 0, 0, 4, 0, 1, 3, 2, 3, 1, 2, 4, 2, 3, 1, 4, 3, 0, 3, 2, 0, 2, 0, 3, 4, 0, 3, 1, 4, 3, 4, 1, 0, 3, 1, 2, 1, 1, 4, 1, 3, 0, 3, 1, 4, 4, 1, 4, 2, 2, 4, 1, 2, 3, 0, 1, 4, 3, 3, 1, 4, 2, 4, 4, 0, 3, 0, 4, 2, 1, 1, 2, 0, 1, 3, 1, 2, 3, 0, 3, 0, 2, 4, 2, 4, 1, 2, 0, 1, 4, 0, 4, 1, 4, 2, 4, 3, 0, 0, 1, 0, 1, 1, 3, 2, 3, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 3, 0, 0, 0, 4, 0, 2, 0, 0, 0, 3, 0, 4, 0, 0, 2, 0, 4, 3, 0, 2, 3, 1, 0, 3, 0, 3, 0, 0, 2, 3, 3, 2, 4, 0, 1, 0, 2, 2, 3, 2, 4, 4, 2, 4, 1, 3, 0, 4, 3, 0, 1, 0, 1, 0, 2, 0, 2, 4, 0, 3, 2, 4, 3, 1, 4, 3, 3, 4, 2, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 4, 3, 2, 4, 4, 0, 4, 0, 2, 4, 3, 0, 2, 4, 1, 4, 0, 2, 4, 3, 2, 1, 3, 1, 1, 0, 0, 3, 0, 1, 2, 1, 1, 2, 0, 3, 1, 0, 1, 0, 4, 3, 3, 3, 0, 4, 3, 1, 0, 2, 4, 1, 4, 4, 0, 2, 2, 4, 4, 2, 0, 1, 4]
pubkeycol1502 = [0, 4, 0, 0, 1, 2, 1, 3, 0, 4, 0, 0, 0, 3, 3, 2, 1, 4, 3, 3, 4, 3, 3, 2, 2, 4, 0, 1, 2, 0, 1, 3, 0, 2, 0, 3, 4, 1, 3, 4, 2, 1, 1, 2, 3, 0, 2, 4, 4, 4, 3, 4, 0, 0, 2, 2, 3, 2, 3, 1, 4, 0, 4, 4, 3, 4, 3, 4, 4, 1, 3, 0, 1, 3, 3, 1, 3, 2, 2, 3, 0, 2, 4, 3, 1, 3, 1, 3, 2, 4, 0, 3, 4, 2, 2, 3, 4, 1, 2, 3, 3, 4, 2, 0, 0, 3, 0, 0, 4, 3, 1, 0, 1, 1, 4, 2, 3, 1, 2, 3, 4, 4, 0, 4, 1, 0, 4, 2, 3, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 3, 4, 4, 1, 2, 3, 1, 2, 1, 4, 0, 1, 3, 4, 0, 0, 1, 3, 2, 2, 2, 4, 3, 2, 2, 3, 4, 3, 4, 2, 0, 0, 1, 3, 3, 2, 1, 3, 3, 0, 1, 0, 0, 2, 1, 1, 4, 4, 2, 0, 0, 4, 1, 2, 2, 1, 3, 0, 3, 4, 0, 2, 4, 4, 3, 4, 2, 3, 1, 1, 1, 2, 1, 4, 4, 2, 0, 4, 3, 3, 1, 2, 3, 4, 4, 4, 3, 4, 4, 4, 0, 3, 2, 0, 1, 4, 0, 0, 2, 0, 3, 0, 0, 4, 1, 0, 3, 2, 3, 4, 1, 0, 1, 3, 0, 4, 0, 3, 0, 1, 4, 2, 2, 2, 1, 4, 4, 3, 3, 3, 3, 2, 1, 3, 0, 1, 2, 0, 4, 1, 2, 0, 2, 3, 1, 0, 3, 0, 1, 2, 1, 4, 4, 0, 2, 2, 0, 3, 0, 3, 0, 1, 3, 0, 0, 3, 3, 3, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 4, 0, 0, 2, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 0, 4, 3, 1, 4, 2, 3, 2, 1, 0, 2, 2, 0, 0, 3, 0, 4, 0, 0, 3, 2, 0, 4, 0, 4, 0, 3, 1, 4, 0, 1, 1, 4, 2, 2, 4, 0, 1, 4, 0, 0, 0, 3, 2, 4, 4, 1, 3, 1, 0, 0, 0, 4, 0, 3, 3, 4, 2, 0, 0, 0, 3, 2, 1, 0, 2, 4, 2, 0, 2, 4, 1, 2, 3, 4, 1, 0, 0, 4, 2, 1, 0, 4, 4, 0, 2, 2, 2, 0, 3, 2, 0, 2, 3, 2, 4, 2, 3, 1, 1, 3, 0, 4, 1, 4, 0, 0, 3, 2, 3, 2, 2, 4, 1, 4, 4, 0, 1, 1, 0, 1, 1, 3, 3, 2, 1, 0, 1, 2, 4, 2, 4, 2, 4, 3, 2, 2, 3, 1, 2, 0, 0, 4, 4, 1, 1, 2, 3, 1, 4, 3, 1, 3, 3, 1, 1, 3, 1, 1, 2, 1, 3, 4, 4, 4, 2, 4, 4, 3]
pubkeycol1503 = [1, 0, 1, 3, 0, 0, 0, 4, 0, 1, 1, 0, 4, 2, 0, 2, 0, 2, 2, 0, 1, 4, 1, 3, 2, 3, 2, 0, 4, 4, 2, 3, 0, 1, 4, 2, 4, 3, 2, 1, 2, 2, 1, 3, 3, 0, 1, 0, 4, 3, 4, 0, 0, 0, 4, 1, 4, 2, 0, 4, 4, 1, 4, 4, 2, 0, 3, 4, 1, 1, 3, 4, 3, 3, 1, 4, 0, 2, 3, 1, 1, 1, 4, 2, 0, 4, 4, 0, 1, 0, 4, 2, 0, 3, 2, 1, 1, 4, 2, 1, 3, 3, 3, 2, 1, 4, 2, 4, 4, 0, 4, 4, 1, 4, 2, 0, 0, 3, 0, 2, 3, 4, 2, 1, 4, 3, 3, 2, 3, 1, 3, 3, 2, 4, 1, 0, 3, 0, 2, 3, 3, 0, 0, 3, 2, 3, 0, 2, 2, 3, 3, 0, 0, 4, 4, 2, 2, 1, 4, 1, 2, 1, 2, 3, 2, 2, 4, 2, 3, 3, 4, 4, 1, 2, 1, 2, 2, 0, 3, 2, 2, 3, 4, 3, 0, 2, 1, 4, 3, 0, 2, 2, 0, 4, 4, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 3, 3, 2, 3, 0, 4, 4, 3, 4, 0, 3, 3, 3, 1, 3, 2, 1, 1, 1, 1, 1, 4, 2, 1, 3, 2, 1, 0, 0, 1, 4, 4, 4, 3, 1, 1, 1, 0, 4, 3, 3, 1, 0, 2, 0, 2, 4, 4, 3, 3, 2, 4, 3, 1, 2, 4, 2, 0, 1, 1, 0, 1, 3, 1, 0, 3, 4, 0, 2, 0, 3, 4, 3, 4, 1, 3, 3, 3, 3, 4, 3, 4, 2, 3, 3, 4, 4, 1, 2, 3, 0, 1, 1, 4, 0, 1, 0, 4, 1, 4, 1, 0, 2, 1, 2, 4, 3, 3, 0, 0, 1, 2, 1, 1, 4, 1, 2, 0, 4, 1, 4, 3, 3, 2, 1, 2, 0, 1, 0, 4, 0, 2, 4, 0, 0, 3, 2, 2, 2, 0, 4, 1, 4, 2, 1, 1, 4, 0, 4, 1, 0, 1, 2, 2, 0, 4, 3, 4, 4, 1, 1, 4, 1, 0, 2, 3, 3, 1, 2, 0, 0, 3, 2, 2, 3, 1, 3, 3, 2, 0, 0, 4, 2, 0, 2, 4, 3, 3, 4, 3, 2, 1, 1, 3, 1, 0, 3, 1, 2, 0, 4, 2, 3, 3, 1, 1, 4, 0, 3, 0, 0, 0, 1, 3, 2, 3, 1, 4, 2, 2, 0, 2, 4, 1, 2, 0, 3, 0, 4, 0, 4, 0, 0, 0, 4, 1, 1, 1, 3, 0, 4, 3, 1, 1, 0, 2, 3, 4, 2, 2, 2, 0, 3, 0, 2, 4, 1, 3, 3, 2, 1, 0, 0, 1, 3, 0, 1, 3, 3, 3, 1, 3, 3, 3, 4, 0, 1, 4, 3, 0, 0, 0, 1, 2, 1, 4, 2, 3, 4, 0, 3, 4, 2, 1, 1]
pubkeycol1504 = [1, 2, 2, 1, 2, 2, 1, 3, 4, 4, 2, 1, 2, 0, 1, 4, 0, 4, 4, 1, 4, 2, 4, 4, 1, 1, 1, 2, 3, 4, 4, 2, 2, 4, 3, 0, 3, 4, 4, 1, 1, 3, 2, 0, 4, 2, 0, 0, 1, 3, 0, 3, 4, 2, 0, 0, 4, 3, 3, 0, 1, 1, 2, 0, 1, 2, 3, 4, 2, 3, 4, 3, 4, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 4, 1, 3, 3, 2, 2, 0, 2, 3, 3, 4, 2, 3, 1, 0, 0, 1, 4, 1, 0, 1, 0, 3, 0, 3, 0, 0, 4, 1, 4, 0, 4, 2, 3, 3, 1, 1, 1, 1, 3, 4, 3, 0, 0, 0, 4, 1, 3, 2, 2, 0, 2, 2, 4, 4, 1, 4, 1, 0, 2, 0, 3, 1, 4, 2, 1, 0, 2, 0, 1, 4, 3, 1, 4, 4, 2, 1, 4, 4, 4, 0, 3, 0, 1, 1, 0, 4, 1, 0, 4, 1, 3, 3, 4, 2, 0, 1, 3, 3, 1, 2, 0, 4, 2, 2, 4, 1, 2, 0, 2, 1, 1, 1, 4, 3, 3, 1, 3, 2, 4, 0, 1, 0, 2, 1, 4, 2, 3, 0, 1, 2, 2, 3, 2, 3, 1, 4, 1, 0, 4, 4, 4, 4, 4, 1, 2, 4, 3, 0, 4, 3, 3, 3, 4, 1, 2, 3, 3, 1, 2, 2, 1, 4, 4, 4, 3, 2, 2, 2, 2, 2, 1, 4, 2, 1, 0, 0, 1, 0, 2, 0, 3, 4, 2, 1, 0, 4, 4, 4, 1, 0, 4, 1, 1, 1, 3, 3, 4, 4, 1, 1, 1, 2, 0, 0, 2, 4, 3, 2, 0, 0, 4, 4, 0, 2, 2, 1, 0, 0, 1, 2, 3, 3, 1, 2, 2, 0, 1, 4, 1, 1, 1, 2, 2, 3, 0, 3, 2, 3, 0, 1, 4, 1, 1, 3, 4, 4, 2, 4, 4, 1, 3, 4, 4, 4, 1, 2, 2, 2, 3, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 4, 0, 2, 0, 1, 4, 2, 4, 4, 2, 4, 0, 0, 1, 2, 1, 3, 4, 0, 0, 4, 3, 0, 3, 1, 4, 3, 2, 2, 3, 1, 4, 4, 1, 0, 0, 2, 2, 3, 0, 3, 2, 1, 3, 1, 0, 3, 3, 2, 1, 1, 1, 3, 2, 2, 2, 4, 4, 4, 4, 2, 2, 2, 4, 4, 1, 3, 2, 4, 2, 2, 3, 1, 2, 0, 1, 2, 0, 4, 1, 1, 2, 4, 0, 3, 4, 3, 2, 4, 1, 2, 0, 4, 1, 1, 4, 4, 3, 1, 0, 4, 4, 3, 2, 2, 1, 3, 1, 3, 1, 1, 2, 0, 2, 4, 3, 3, 2, 4, 3, 1, 2, 4, 4, 0, 2, 4, 0, 4, 1, 0, 3, 2, 2, 3, 4, 4, 2, 4, 0, 3, 0, 3, 2, 0, 0, 1, 2, 1, 1, 1]
pubkeycol1505 = [3, 0, 1, 0, 3, 4, 0, 0, 4, 3, 4, 3, 4, 1, 2, 3, 1, 0, 3, 0, 4, 1, 3, 4, 4, 2, 0, 3, 2, 4, 0, 2, 1, 3, 2, 4, 0, 0, 3, 2, 4, 1, 3, 2, 0, 4, 1, 1, 2, 0, 1, 2, 2, 1, 3, 2, 4, 4, 1, 4, 3, 2, 4, 3, 3, 1, 4, 4, 1, 4, 4, 3, 4, 3, 3, 4, 4, 1, 0, 1, 4, 0, 1, 1, 2, 4, 1, 2, 0, 3, 0, 1, 4, 0, 1, 2, 2, 1, 3, 4, 0, 0, 3, 1, 3, 0, 2, 3, 1, 2, 3, 0, 1, 3, 2, 3, 0, 2, 4, 4, 1, 0, 4, 3, 2, 3, 2, 0, 1, 1, 3, 1, 3, 3, 1, 2, 3, 2, 1, 0, 4, 2, 2, 0, 1, 4, 4, 3, 0, 4, 3, 3, 2, 0, 1, 4, 3, 1, 2, 2, 1, 0, 0, 0, 2, 3, 2, 3, 4, 3, 2, 0, 4, 1, 3, 0, 1, 3, 3, 3, 4, 4, 3, 0, 4, 0, 2, 4, 3, 0, 4, 2, 2, 3, 4, 2, 2, 3, 2, 1, 3, 0, 4, 4, 1, 2, 0, 2, 2, 3, 0, 3, 0, 2, 1, 4, 4, 0, 2, 1, 0, 2, 3, 4, 1, 2, 0, 2, 2, 1, 0, 0, 3, 4, 4, 4, 0, 2, 2, 3, 0, 4, 0, 3, 2, 1, 3, 0, 3, 2, 3, 3, 2, 0, 4, 0, 1, 1, 0, 3, 0, 4, 3, 1, 0, 0, 4, 3, 4, 2, 1, 2, 1, 1, 1, 1, 4, 3, 3, 2, 0, 0, 4, 3, 4, 4, 2, 3, 3, 2, 1, 4, 1, 1, 2, 4, 4, 3, 2, 1, 1, 0, 4, 4, 4, 4, 2, 0, 2, 4, 3, 2, 1, 1, 4, 2, 3, 2, 1, 2, 3, 4, 3, 1, 0, 0, 3, 0, 2, 0, 4, 2, 2, 0, 0, 1, 2, 3, 3, 4, 2, 4, 1, 3, 0, 4, 2, 0, 4, 4, 2, 3, 4, 3, 0, 1, 1, 0, 3, 1, 1, 2, 3, 3, 1, 3, 2, 4, 0, 4, 4, 3, 1, 0, 0, 2, 0, 2, 2, 2, 3, 3, 1, 0, 4, 0, 1, 0, 4, 1, 3, 4, 3, 4, 2, 0, 0, 1, 3, 0, 3, 3, 3, 3, 2, 2, 1, 2, 3, 0, 3, 3, 2, 0, 2, 1, 0, 0, 0, 1, 0, 4, 1, 0, 0, 1, 3, 1, 2, 3, 3, 3, 1, 0, 0, 1, 0, 3, 0, 4, 1, 3, 4, 3, 2, 2, 2, 2, 3, 0, 3, 4, 0, 1, 1, 2, 4, 0, 4, 2, 1, 0, 4, 0, 1, 3, 2, 4, 0, 0, 2, 1, 4, 0, 1, 3, 2, 0, 4, 0, 2, 0, 0, 2, 3, 4, 3, 4, 4, 0, 3, 3, 4, 4, 0, 3, 4, 1, 2, 2, 1, 3, 0, 1, 0]
pubkeycol1506 = [0, 2, 3, 3, 0, 1, 0, 1, 1, 1, 3, 3, 0, 2, 3, 2, 3, 4, 3, 3, 0, 3, 4, 4, 2, 4, 3, 2, 0, 0, 1, 4, 4, 1, 2, 4, 1, 0, 2, 3, 3, 1, 1, 0, 3, 1, 2, 2, 3, 0, 3, 2, 3, 2, 3, 1, 4, 3, 4, 3, 0, 0, 1, 1, 4, 3, 1, 2, 4, 1, 2, 3, 4, 0, 1, 2, 2, 0, 2, 0, 0, 3, 0, 4, 0, 0, 1, 2, 1, 0, 0, 4, 4, 0, 4, 0, 0, 0, 1, 4, 3, 3, 2, 0, 1, 4, 4, 1, 4, 1, 4, 4, 4, 2, 4, 4, 0, 3, 4, 2, 3, 3, 0, 2, 4, 2, 4, 1, 1, 1, 3, 4, 1, 4, 0, 1, 3, 4, 4, 4, 0, 1, 1, 3, 3, 0, 3, 0, 2, 1, 3, 3, 4, 0, 2, 1, 2, 1, 3, 0, 0, 4, 2, 3, 3, 2, 3, 0, 4, 4, 2, 2, 0, 3, 4, 3, 0, 4, 0, 0, 4, 1, 4, 0, 1, 1, 4, 2, 2, 1, 2, 4, 1, 1, 4, 2, 3, 2, 3, 0, 1, 3, 4, 4, 2, 4, 2, 3, 0, 3, 2, 3, 1, 3, 2, 1, 3, 0, 0, 3, 0, 1, 2, 4, 0, 0, 0, 0, 2, 1, 2, 4, 1, 2, 0, 0, 4, 3, 2, 0, 2, 0, 0, 1, 0, 1, 4, 3, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 4, 4, 2, 2, 1, 2, 2, 0, 3, 2, 1, 0, 4, 0, 1, 0, 1, 2, 4, 2, 0, 3, 4, 2, 4, 4, 0, 3, 2, 0, 3, 1, 2, 4, 1, 3, 1, 3, 4, 2, 1, 4, 1, 4, 4, 4, 4, 3, 2, 2, 1, 2, 2, 3, 3, 4, 1, 3, 3, 2, 3, 2, 0, 4, 0, 2, 1, 2, 2, 2, 3, 1, 1, 3, 3, 2, 1, 4, 3, 4, 0, 0, 2, 2, 3, 0, 4, 2, 4, 3, 1, 2, 2, 2, 4, 1, 2, 2, 1, 2, 1, 3, 1, 3, 1, 2, 1, 3, 1, 1, 4, 1, 4, 2, 3, 3, 3, 2, 0, 1, 2, 3, 2, 4, 2, 0, 4, 1, 1, 0, 3, 0, 2, 0, 3, 3, 1, 1, 1, 3, 4, 4, 1, 2, 3, 2, 4, 0, 1, 2, 1, 0, 4, 1, 3, 0, 3, 3, 4, 2, 4, 0, 0, 0, 4, 0, 0, 1, 1, 2, 1, 3, 3, 0, 2, 2, 3, 1, 0, 2, 3, 0, 2, 0, 2, 4, 1, 4, 1, 1, 3, 3, 2, 3, 2, 0, 2, 1, 3, 3, 0, 1, 3, 0, 3, 3, 3, 3, 0, 1, 1, 3, 3, 3, 2, 1, 3, 0, 4, 3, 3, 1, 3, 1, 3, 4, 3, 2, 0, 0, 2, 1, 0, 3, 3, 0, 3, 2, 1, 1, 0, 3, 2, 2, 1, 2]
pubkeycol1507 = [4, 4, 1, 1, 0, 0, 2, 3, 2, 3, 4, 0, 4, 4, 0, 2, 3, 2, 4, 4, 1, 2, 1, 0, 2, 0, 2, 3, 2, 3, 4, 3, 3, 0, 3, 1, 0, 2, 1, 4, 2, 2, 1, 0, 4, 0, 1, 2, 4, 3, 4, 2, 4, 3, 4, 4, 2, 3, 2, 1, 1, 4, 4, 0, 3, 1, 1, 0, 0, 0, 1, 0, 0, 3, 0, 0, 1, 2, 0, 1, 4, 1, 1, 3, 1, 2, 0, 3, 2, 0, 1, 4, 1, 0, 1, 4, 3, 2, 4, 4, 3, 3, 0, 3, 2, 2, 3, 4, 2, 3, 1, 4, 4, 4, 3, 3, 2, 2, 0, 2, 4, 2, 3, 4, 0, 4, 4, 0, 4, 3, 1, 0, 0, 3, 1, 3, 1, 3, 3, 2, 3, 0, 4, 0, 3, 3, 0, 4, 4, 3, 3, 2, 1, 2, 1, 0, 3, 1, 2, 3, 1, 0, 2, 1, 0, 1, 4, 4, 0, 0, 0, 1, 1, 4, 1, 0, 0, 0, 4, 0, 3, 2, 2, 1, 0, 1, 2, 4, 0, 3, 3, 3, 2, 0, 2, 3, 2, 2, 2, 1, 3, 1, 4, 2, 4, 0, 1, 2, 1, 0, 0, 4, 1, 2, 2, 0, 2, 0, 4, 1, 0, 4, 1, 1, 3, 2, 4, 3, 0, 4, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 4, 2, 2, 2, 0, 3, 4, 4, 2, 4, 1, 2, 2, 2, 1, 2, 2, 3, 2, 3, 3, 4, 3, 2, 3, 4, 4, 1, 4, 0, 4, 2, 2, 3, 3, 3, 0, 3, 2, 1, 4, 2, 1, 4, 1, 2, 4, 2, 0, 4, 0, 4, 1, 4, 3, 4, 2, 1, 3, 2, 1, 2, 1, 3, 1, 2, 2, 1, 0, 0, 1, 3, 1, 2, 0, 3, 2, 2, 0, 3, 3, 3, 0, 4, 0, 4, 4, 0, 1, 1, 1, 3, 3, 2, 2, 2, 3, 2, 3, 3, 2, 0, 1, 1, 1, 4, 4, 4, 1, 3, 1, 3, 0, 1, 0, 1, 3, 4, 4, 2, 4, 0, 0, 3, 2, 2, 3, 0, 1, 4, 0, 4, 3, 1, 0, 4, 2, 4, 2, 1, 4, 2, 1, 3, 0, 0, 3, 3, 3, 0, 4, 2, 1, 0, 3, 0, 1, 1, 2, 2, 3, 2, 1, 0, 3, 0, 0, 0, 3, 2, 2, 3, 4, 3, 1, 0, 1, 3, 0, 1, 3, 3, 1, 4, 0, 3, 1, 0, 4, 1, 3, 4, 0, 0, 3, 2, 4, 3, 3, 2, 1, 1, 0, 3, 4, 4, 1, 3, 2, 4, 4, 3, 1, 3, 1, 2, 1, 0, 1, 0, 4, 2, 3, 4, 4, 1, 3, 2, 2, 3, 3, 3, 0, 3, 4, 3, 1, 2, 2, 3, 0, 0, 1, 1, 0, 0, 1, 0, 4, 3, 2, 1, 3, 2, 3, 0, 1, 2, 0, 4, 0, 2, 3, 4, 1]
pubkeycol1508 = [4, 3, 0, 2, 3, 2, 4, 2, 3, 4, 3, 4, 3, 1, 4, 2, 3, 4, 0, 0, 1, 2, 3, 0, 1, 0, 1, 2, 4, 0, 1, 0, 3, 0, 2, 2, 3, 4, 3, 4, 3, 1, 3, 2, 2, 1, 1, 0, 4, 0, 2, 4, 0, 2, 2, 1, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 1, 2, 3, 1, 0, 4, 2, 4, 3, 0, 0, 0, 1, 0, 4, 1, 1, 3, 3, 2, 1, 3, 1, 4, 2, 2, 1, 2, 3, 1, 2, 1, 3, 4, 4, 0, 1, 4, 0, 2, 4, 2, 1, 2, 1, 0, 1, 3, 1, 3, 1, 0, 2, 4, 0, 3, 2, 2, 1, 2, 2, 2, 4, 3, 3, 2, 1, 4, 1, 3, 3, 2, 0, 0, 4, 3, 1, 1, 1, 3, 4, 0, 3, 0, 0, 3, 1, 1, 1, 2, 0, 2, 4, 1, 3, 4, 4, 4, 3, 2, 0, 1, 4, 2, 4, 1, 4, 3, 1, 0, 4, 2, 3, 0, 2, 3, 4, 4, 3, 1, 2, 1, 0, 3, 3, 3, 0, 2, 0, 4, 2, 0, 2, 1, 0, 2, 0, 4, 0, 2, 3, 4, 3, 2, 0, 1, 1, 0, 1, 0, 4, 1, 1, 1, 1, 3, 0, 0, 0, 1, 0, 2, 4, 1, 4, 3, 2, 3, 0, 1, 1, 3, 4, 3, 0, 1, 3, 2, 3, 4, 4, 3, 3, 1, 2, 4, 0, 4, 2, 4, 0, 2, 1, 3, 4, 2, 4, 4, 1, 0, 2, 3, 0, 2, 2, 1, 0, 0, 3, 1, 1, 3, 1, 0, 2, 2, 2, 2, 4, 2, 1, 2, 0, 2, 1, 3, 4, 2, 4, 3, 3, 1, 0, 2, 2, 4, 1, 0, 2, 3, 0, 4, 4, 1, 4, 4, 3, 1, 4, 3, 3, 4, 4, 3, 0, 4, 1, 3, 0, 4, 1, 1, 3, 0, 0, 3, 3, 2, 4, 0, 4, 4, 2, 1, 1, 3, 0, 0, 3, 2, 1, 2, 4, 4, 2, 1, 1, 4, 3, 1, 3, 1, 2, 1, 4, 3, 2, 2, 1, 3, 1, 2, 3, 4, 3, 1, 2, 3, 0, 2, 3, 2, 0, 2, 4, 3, 3, 2, 2, 3, 0, 4, 4, 1, 4, 1, 4, 1, 1, 2, 2, 3, 0, 0, 0, 2, 2, 2, 4, 3, 4, 3, 4, 1, 4, 1, 0, 1, 2, 2, 4, 1, 3, 0, 1, 4, 2, 3, 2, 2, 3, 0, 1, 0, 4, 2, 2, 1, 4, 4, 2, 1, 2, 0, 3, 1, 4, 4, 3, 4, 3, 2, 2, 1, 1, 2, 0, 2, 3, 3, 2, 0, 2, 2, 0, 2, 2, 0, 3, 4, 1, 2, 4, 0, 0, 0, 4, 0, 3, 3, 3, 4, 3, 0, 3, 3, 1, 4, 3, 3, 1, 2, 0, 3, 2, 0, 2, 4, 4, 2, 4, 0, 1, 0, 2, 4, 2, 3, 3]
pubkeycol1509 = [1, 4, 0, 3, 1, 3, 2, 0, 0, 2, 1, 4, 0, 1, 2, 3, 3, 1, 2, 3, 2, 2, 4, 3, 0, 4, 0, 0, 0, 1, 1, 1, 0, 4, 0, 3, 0, 0, 3, 1, 2, 0, 0, 0, 0, 4, 4, 2, 0, 4, 3, 3, 4, 4, 0, 4, 2, 0, 0, 1, 1, 0, 2, 2, 1, 4, 1, 0, 2, 2, 1, 3, 1, 4, 2, 2, 0, 0, 2, 2, 0, 0, 2, 3, 1, 2, 0, 0, 2, 1, 1, 1, 4, 0, 1, 3, 1, 2, 3, 3, 0, 2, 1, 0, 3, 3, 0, 2, 4, 4, 0, 0, 3, 4, 2, 3, 3, 0, 0, 1, 3, 0, 0, 1, 0, 0, 0, 0, 4, 4, 3, 3, 1, 2, 0, 0, 2, 3, 3, 1, 0, 3, 2, 1, 0, 3, 1, 1, 3, 3, 2, 3, 2, 4, 2, 1, 2, 3, 0, 2, 4, 0, 2, 0, 4, 4, 0, 0, 4, 2, 1, 1, 3, 1, 3, 3, 3, 1, 0, 1, 3, 1, 0, 0, 1, 2, 2, 3, 4, 4, 2, 4, 2, 1, 3, 0, 1, 4, 2, 4, 4, 1, 3, 3, 1, 4, 2, 4, 3, 0, 0, 4, 4, 3, 4, 1, 1, 2, 4, 2, 2, 4, 2, 4, 2, 0, 0, 2, 0, 3, 3, 4, 2, 0, 4, 2, 3, 1, 1, 1, 3, 0, 4, 1, 0, 4, 2, 3, 4, 1, 2, 0, 4, 0, 0, 4, 0, 2, 2, 1, 3, 0, 2, 2, 1, 4, 4, 3, 0, 2, 3, 2, 3, 0, 1, 1, 0, 1, 2, 4, 1, 2, 0, 2, 0, 1, 1, 3, 0, 4, 2, 0, 0, 2, 0, 3, 1, 3, 1, 0, 2, 3, 2, 1, 1, 2, 1, 4, 2, 1, 1, 0, 3, 3, 0, 3, 1, 4, 1, 3, 0, 0, 2, 3, 0, 3, 0, 4, 4, 4, 3, 2, 4, 1, 1, 2, 2, 3, 2, 4, 2, 1, 3, 4, 2, 3, 3, 3, 2, 1, 4, 4, 3, 3, 2, 1, 3, 1, 0, 2, 3, 1, 3, 1, 3, 2, 4, 4, 2, 4, 3, 3, 0, 0, 0, 3, 1, 3, 0, 1, 4, 2, 4, 4, 0, 0, 2, 2, 4, 2, 3, 0, 3, 1, 0, 1, 4, 3, 1, 0, 4, 2, 3, 1, 2, 3, 4, 2, 0, 3, 2, 4, 3, 3, 4, 1, 3, 1, 2, 1, 4, 3, 0, 1, 1, 1, 0, 0, 4, 4, 0, 4, 3, 2, 2, 1, 0, 3, 3, 1, 3, 1, 4, 1, 3, 2, 0, 1, 0, 1, 1, 3, 4, 0, 2, 1, 4, 0, 3, 2, 0, 1, 4, 0, 2, 2, 3, 4, 0, 2, 1, 1, 3, 3, 1, 4, 0, 4, 0, 4, 1, 2, 2, 1, 2, 1, 4, 4, 1, 4, 0, 2, 1, 0, 4, 3, 1, 3, 2, 3, 3, 3, 0, 0, 3]
pubkeycol1510 = [2, 0, 0, 3, 3, 3, 0, 3, 1, 0, 4, 3, 2, 3, 1, 3, 1, 1, 4, 4, 4, 2, 1, 0, 4, 2, 2, 1, 2, 1, 3, 3, 1, 3, 1, 1, 3, 3, 0, 3, 4, 0, 3, 1, 3, 2, 1, 0, 3, 1, 2, 2, 4, 2, 2, 0, 1, 3, 1, 3, 4, 1, 1, 3, 0, 3, 1, 4, 1, 2, 3, 1, 0, 2, 1, 3, 1, 0, 2, 4, 1, 0, 4, 1, 3, 4, 0, 2, 1, 0, 2, 1, 0, 4, 2, 0, 1, 3, 3, 3, 4, 4, 3, 1, 2, 1, 4, 0, 1, 2, 4, 3, 1, 1, 3, 1, 3, 3, 4, 1, 1, 0, 0, 3, 3, 1, 4, 1, 2, 3, 1, 4, 3, 0, 1, 3, 2, 2, 0, 0, 2, 2, 3, 3, 3, 1, 4, 4, 1, 4, 3, 0, 4, 2, 0, 0, 4, 2, 3, 0, 1, 2, 3, 0, 4, 1, 1, 2, 1, 0, 3, 4, 4, 1, 2, 0, 1, 3, 4, 0, 2, 0, 4, 1, 4, 0, 4, 2, 2, 3, 1, 2, 3, 3, 4, 1, 4, 0, 3, 4, 4, 0, 0, 2, 4, 4, 1, 2, 2, 2, 0, 4, 1, 3, 4, 4, 0, 2, 0, 0, 1, 4, 3, 1, 1, 1, 2, 0, 1, 1, 2, 3, 2, 2, 1, 0, 1, 1, 3, 3, 2, 1, 0, 4, 0, 2, 4, 2, 0, 2, 3, 1, 1, 4, 0, 2, 0, 1, 1, 2, 3, 4, 1, 1, 4, 1, 3, 1, 4, 1, 4, 2, 0, 2, 0, 2, 0, 1, 3, 2, 1, 0, 3, 3, 1, 0, 3, 4, 0, 4, 2, 4, 1, 4, 4, 1, 2, 3, 2, 2, 2, 3, 4, 4, 2, 2, 2, 0, 0, 4, 1, 3, 3, 4, 3, 4, 4, 4, 0, 2, 0, 4, 0, 0, 2, 1, 3, 4, 2, 3, 2, 1, 1, 2, 0, 1, 1, 4, 3, 0, 2, 2, 4, 4, 0, 2, 3, 0, 2, 4, 3, 0, 2, 0, 1, 2, 3, 4, 2, 4, 0, 1, 4, 2, 1, 3, 1, 1, 3, 1, 3, 4, 2, 1, 3, 1, 4, 3, 3, 4, 1, 2, 3, 1, 3, 1, 2, 2, 1, 3, 0, 2, 4, 0, 3, 2, 1, 1, 4, 3, 2, 4, 1, 2, 3, 3, 0, 2, 3, 1, 1, 4, 4, 0, 4, 0, 4, 4, 0, 1, 4, 2, 0, 1, 0, 0, 3, 3, 1, 4, 1, 3, 1, 3, 3, 2, 3, 4, 2, 3, 4, 1, 1, 2, 2, 1, 1, 3, 2, 2, 0, 4, 4, 4, 4, 0, 2, 3, 4, 0, 2, 4, 3, 2, 2, 0, 0, 3, 4, 0, 2, 2, 2, 2, 2, 4, 2, 0, 0, 1, 4, 3, 0, 4, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 0, 3, 4, 4, 4, 1, 0, 1, 0, 0, 1]
pubkeycol1511 = [2, 3, 3, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 4, 1, 2, 0, 4, 0, 2, 4, 2, 0, 3, 3, 2, 2, 1, 2, 1, 3, 4, 2, 4, 2, 4, 1, 1, 2, 2, 0, 3, 1, 3, 4, 4, 4, 1, 2, 3, 4, 1, 0, 1, 0, 3, 0, 1, 4, 1, 1, 0, 4, 1, 4, 2, 4, 4, 4, 0, 1, 0, 0, 0, 1, 4, 0, 3, 3, 4, 0, 4, 3, 0, 1, 0, 4, 0, 2, 3, 0, 3, 2, 0, 0, 1, 4, 4, 1, 4, 4, 3, 3, 0, 1, 3, 0, 0, 3, 3, 2, 4, 3, 0, 4, 0, 1, 1, 4, 3, 2, 3, 1, 4, 1, 3, 4, 2, 1, 2, 2, 4, 2, 1, 4, 0, 1, 4, 3, 0, 4, 4, 2, 1, 3, 2, 1, 3, 1, 1, 2, 3, 0, 1, 4, 3, 0, 0, 4, 4, 3, 0, 0, 2, 3, 3, 1, 3, 3, 2, 3, 1, 3, 1, 0, 3, 0, 2, 3, 0, 2, 0, 4, 4, 1, 2, 2, 3, 1, 2, 1, 4, 3, 3, 4, 4, 1, 1, 4, 1, 2, 1, 4, 2, 4, 0, 4, 0, 4, 1, 1, 4, 2, 4, 2, 4, 4, 0, 4, 4, 1, 1, 4, 4, 0, 4, 0, 1, 4, 0, 1, 0, 2, 1, 1, 4, 2, 3, 3, 0, 2, 2, 4, 1, 4, 4, 2, 4, 2, 3, 2, 1, 3, 0, 1, 3, 4, 1, 3, 4, 3, 4, 0, 0, 4, 0, 4, 1, 3, 3, 0, 1, 1, 3, 4, 0, 3, 2, 3, 1, 3, 3, 1, 1, 0, 4, 0, 4, 1, 4, 0, 4, 2, 1, 2, 4, 3, 2, 4, 4, 4, 1, 3, 4, 3, 4, 1, 0, 0, 4, 4, 3, 2, 0, 2, 0, 1, 0, 3, 2, 0, 1, 4, 4, 4, 1, 0, 1, 4, 0, 1, 2, 0, 3, 4, 2, 4, 0, 1, 1, 0, 4, 3, 3, 2, 2, 3, 1, 1, 0, 0, 2, 2, 2, 0, 2, 4, 3, 2, 1, 3, 4, 0, 2, 4, 3, 2, 2, 1, 3, 1, 1, 0, 0, 0, 1, 4, 0, 4, 1, 4, 2, 1, 1, 2, 3, 2, 1, 3, 0, 4, 2, 4, 3, 1, 2, 0, 3, 2, 2, 0, 0, 0, 1, 0, 4, 4, 0, 0, 4, 1, 1, 4, 1, 3, 2, 0, 2, 4, 4, 0, 2, 0, 4, 2, 1, 4, 3, 0, 4, 0, 3, 0, 0, 1, 2, 2, 2, 2, 2, 4, 4, 2, 3, 4, 2, 2, 2, 4, 1, 2, 1, 2, 1, 4, 1, 2, 4, 3, 0, 0, 3, 4, 0, 4, 4, 1, 0, 2, 2, 3, 2, 1, 2, 0, 0, 2, 0, 4, 4, 2, 0, 3, 2, 1, 3, 4, 2, 3, 0, 1, 0, 1, 4, 4, 1, 1, 1, 3, 2, 0, 0, 0, 2, 0]
pubkeycol1512 = [4, 0, 4, 1, 4, 3, 0, 1, 0, 2, 2, 2, 0, 3, 3, 4, 1, 3, 0, 4, 0, 4, 3, 4, 1, 0, 3, 2, 1, 0, 4, 4, 1, 0, 2, 0, 1, 3, 4, 3, 0, 0, 2, 3, 2, 4, 1, 4, 2, 1, 3, 0, 3, 4, 2, 3, 3, 0, 1, 2, 1, 2, 1, 3, 2, 1, 1, 1, 1, 0, 2, 3, 4, 2, 1, 3, 0, 1, 4, 0, 1, 1, 1, 2, 4, 4, 1, 1, 4, 0, 3, 0, 2, 2, 2, 3, 1, 3, 2, 1, 0, 3, 2, 0, 0, 4, 0, 3, 1, 2, 2, 1, 2, 3, 0, 1, 0, 4, 4, 1, 2, 1, 2, 0, 2, 4, 2, 0, 2, 1, 4, 1, 0, 2, 1, 0, 4, 4, 0, 4, 4, 0, 1, 3, 3, 3, 1, 4, 3, 3, 0, 1, 2, 3, 4, 3, 1, 0, 1, 2, 4, 1, 4, 3, 0, 2, 3, 3, 3, 2, 2, 0, 3, 1, 3, 4, 3, 1, 0, 4, 1, 2, 4, 2, 2, 4, 0, 0, 3, 3, 0, 2, 3, 1, 3, 2, 2, 3, 4, 4, 2, 0, 4, 0, 3, 1, 3, 1, 0, 0, 0, 0, 4, 4, 1, 0, 2, 2, 0, 4, 1, 3, 0, 4, 2, 4, 2, 1, 4, 4, 4, 1, 3, 4, 4, 1, 1, 4, 4, 2, 2, 3, 4, 0, 0, 1, 1, 0, 1, 1, 1, 1, 3, 3, 4, 1, 1, 2, 3, 0, 4, 0, 2, 4, 3, 0, 0, 1, 3, 3, 0, 4, 4, 2, 4, 1, 4, 3, 0, 3, 3, 3, 4, 4, 1, 4, 1, 4, 3, 2, 4, 1, 4, 0, 2, 4, 3, 4, 4, 2, 4, 0, 4, 1, 2, 2, 2, 0, 0, 1, 4, 4, 0, 4, 3, 2, 3, 0, 2, 4, 3, 1, 2, 1, 4, 2, 1, 1, 4, 1, 4, 1, 4, 2, 0, 4, 3, 2, 0, 1, 0, 3, 1, 4, 3, 0, 4, 2, 4, 1, 1, 4, 1, 3, 3, 1, 4, 4, 4, 0, 0, 3, 3, 0, 2, 1, 0, 2, 4, 3, 2, 0, 1, 3, 1, 0, 4, 2, 3, 0, 2, 4, 4, 1, 0, 3, 4, 1, 2, 2, 3, 2, 3, 2, 1, 1, 0, 1, 2, 2, 0, 1, 4, 2, 3, 2, 0, 1, 2, 3, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 3, 0, 4, 0, 2, 4, 2, 0, 3, 3, 1, 1, 2, 4, 0, 3, 0, 4, 0, 0, 2, 4, 4, 3, 2, 0, 2, 2, 1, 1, 4, 3, 0, 2, 1, 0, 2, 0, 1, 4, 2, 4, 0, 0, 4, 2, 4, 3, 0, 1, 4, 1, 1, 3, 1, 0, 4, 4, 1, 2, 4, 2, 0, 1, 1, 4, 3, 4, 2, 1, 3, 3, 2, 3, 2, 2, 1, 0, 1, 0, 4, 4, 2]
pubkeycol1513 = [4, 4, 4, 2, 2, 2, 1, 1, 4, 1, 3, 4, 2, 0, 2, 2, 4, 4, 2, 3, 3, 1, 3, 2, 1, 2, 0, 0, 4, 2, 0, 0, 1, 3, 0, 2, 2, 0, 1, 2, 3, 2, 3, 1, 3, 1, 1, 2, 1, 1, 0, 3, 3, 0, 4, 4, 2, 1, 3, 3, 2, 4, 4, 3, 0, 4, 4, 2, 1, 3, 2, 1, 1, 3, 4, 4, 0, 0, 0, 2, 2, 4, 3, 2, 3, 0, 1, 1, 3, 3, 2, 3, 4, 3, 2, 1, 2, 0, 2, 1, 0, 1, 4, 1, 2, 2, 1, 0, 3, 3, 2, 1, 4, 3, 4, 4, 4, 1, 3, 1, 3, 1, 2, 2, 3, 1, 0, 2, 1, 4, 0, 3, 2, 1, 4, 3, 0, 4, 3, 0, 3, 3, 4, 2, 0, 1, 1, 0, 2, 1, 1, 2, 4, 2, 3, 1, 2, 3, 2, 4, 4, 3, 1, 1, 4, 2, 2, 4, 3, 0, 2, 3, 3, 2, 3, 1, 2, 0, 1, 4, 0, 1, 4, 2, 4, 0, 2, 4, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 3, 4, 4, 2, 1, 4, 3, 4, 0, 4, 0, 2, 4, 2, 4, 4, 1, 2, 2, 0, 4, 1, 3, 2, 3, 4, 1, 4, 1, 0, 0, 2, 4, 0, 3, 3, 3, 4, 2, 3, 4, 2, 2, 1, 1, 2, 3, 4, 4, 4, 4, 4, 0, 0, 1, 4, 1, 0, 1, 0, 0, 3, 2, 1, 1, 4, 1, 4, 2, 0, 3, 2, 1, 4, 3, 1, 0, 2, 4, 4, 2, 4, 0, 1, 4, 2, 4, 4, 2, 1, 2, 4, 2, 1, 3, 3, 1, 0, 3, 3, 0, 1, 2, 2, 3, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 4, 0, 3, 0, 1, 0, 2, 1, 1, 2, 3, 3, 2, 2, 0, 2, 4, 4, 4, 4, 2, 1, 3, 3, 3, 2, 1, 0, 2, 2, 1, 2, 3, 4, 4, 2, 2, 4, 1, 2, 3, 3, 3, 3, 1, 1, 2, 0, 3, 4, 0, 0, 2, 3, 2, 2, 3, 0, 3, 2, 1, 1, 1, 2, 0, 1, 4, 2, 2, 3, 2, 4, 1, 3, 2, 3, 4, 2, 4, 3, 3, 0, 0, 2, 3, 2, 4, 1, 3, 3, 3, 2, 1, 4, 1, 0, 3, 3, 4, 4, 0, 2, 0, 0, 3, 3, 2, 2, 0, 0, 1, 4, 0, 2, 2, 3, 1, 1, 3, 3, 1, 2, 3, 3, 3, 4, 0, 4, 2, 1, 3, 4, 2, 1, 3, 3, 0, 4, 0, 1, 2, 4, 3, 0, 4, 4, 3, 2, 1, 4, 1, 2, 4, 4, 1, 2, 0, 0, 3, 3, 0, 2, 1, 2, 0, 2, 3, 1, 2, 0, 4, 1, 1, 4, 0, 4, 4, 1, 0, 3, 0, 2, 4, 1, 4, 1, 1, 2]
pubkeycol1514 = [0, 1, 3, 3, 0, 4, 1, 1, 2, 0, 2, 4, 3, 4, 0, 2, 1, 1, 1, 4, 3, 1, 4, 1, 0, 4, 0, 0, 1, 3, 3, 3, 1, 1, 4, 1, 1, 3, 4, 2, 0, 1, 4, 4, 4, 0, 2, 1, 2, 4, 3, 2, 1, 3, 0, 3, 0, 2, 3, 4, 2, 3, 0, 3, 4, 4, 0, 0, 4, 0, 1, 4, 0, 1, 1, 2, 2, 1, 4, 2, 3, 0, 1, 2, 4, 0, 3, 4, 4, 4, 4, 0, 1, 1, 1, 1, 4, 1, 1, 3, 0, 4, 0, 0, 4, 3, 3, 4, 3, 3, 3, 1, 2, 1, 4, 0, 3, 0, 3, 2, 1, 0, 0, 2, 3, 4, 0, 3, 3, 3, 3, 2, 1, 3, 1, 3, 2, 4, 4, 0, 0, 3, 0, 2, 3, 0, 1, 4, 0, 2, 3, 0, 1, 3, 4, 4, 3, 0, 1, 0, 0, 1, 4, 3, 2, 1, 0, 4, 2, 4, 0, 1, 4, 4, 4, 0, 0, 0, 2, 4, 1, 1, 4, 2, 4, 1, 4, 3, 1, 1, 2, 1, 0, 0, 0, 2, 1, 4, 0, 0, 0, 2, 0, 2, 2, 1, 1, 4, 0, 3, 0, 1, 4, 1, 4, 2, 2, 3, 3, 2, 2, 2, 3, 0, 3, 0, 4, 3, 0, 1, 0, 1, 3, 1, 1, 4, 1, 4, 0, 1, 4, 2, 2, 2, 4, 2, 0, 0, 1, 3, 3, 0, 3, 4, 1, 4, 2, 3, 2, 2, 3, 4, 3, 3, 3, 2, 1, 0, 3, 3, 3, 0, 4, 0, 1, 0, 2, 4, 0, 4, 1, 4, 3, 0, 4, 4, 1, 0, 1, 0, 4, 4, 3, 3, 0, 0, 4, 4, 4, 2, 1, 3, 2, 0, 2, 2, 0, 3, 2, 3, 2, 2, 0, 2, 2, 2, 3, 0, 4, 0, 1, 3, 4, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 3, 0, 0, 4, 3, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 4, 2, 4, 3, 4, 3, 4, 3, 1, 3, 4, 2, 1, 4, 0, 0, 1, 3, 0, 0, 4, 1, 3, 0, 1, 2, 1, 1, 2, 1, 0, 3, 0, 4, 2, 1, 2, 0, 1, 4, 0, 1, 3, 0, 2, 2, 0, 3, 2, 1, 3, 1, 0, 4, 4, 0, 0, 1, 1, 3, 4, 3, 2, 2, 2, 0, 0, 4, 4, 0, 4, 4, 1, 4, 3, 2, 1, 0, 3, 1, 1, 4, 4, 3, 1, 2, 4, 2, 3, 0, 1, 2, 1, 0, 0, 3, 2, 1, 3, 3, 0, 1, 4, 3, 2, 2, 2, 1, 2, 3, 0, 2, 0, 0, 4, 2, 2, 1, 3, 4, 1, 0, 4, 3, 2, 1, 1, 0, 3, 2, 1, 2, 4, 0, 0, 0, 0, 1, 0, 4, 2, 1, 3, 0, 1, 1, 0, 3, 1, 0, 0, 2, 4, 1, 3, 4]
pubkeycol1515 = [2, 3, 4, 0, 1, 3, 4, 4, 4, 4, 3, 3, 3, 2, 1, 2, 2, 4, 4, 1, 2, 3, 2, 1, 2, 1, 1, 3, 2, 4, 2, 1, 1, 2, 0, 0, 2, 1, 4, 3, 3, 2, 4, 2, 2, 3, 0, 2, 3, 0, 3, 0, 2, 0, 4, 0, 2, 0, 4, 3, 1, 1, 3, 2, 4, 2, 0, 1, 1, 2, 0, 4, 0, 1, 4, 3, 4, 0, 0, 0, 1, 4, 3, 1, 1, 1, 4, 1, 4, 2, 2, 3, 1, 0, 1, 1, 1, 0, 0, 4, 2, 0, 1, 2, 2, 1, 3, 2, 3, 4, 4, 4, 0, 0, 4, 1, 1, 0, 1, 2, 4, 1, 2, 4, 0, 3, 0, 1, 3, 3, 1, 3, 0, 4, 0, 2, 3, 4, 3, 3, 0, 3, 1, 3, 0, 0, 1, 0, 2, 0, 2, 4, 4, 3, 2, 1, 2, 0, 3, 1, 2, 4, 4, 2, 4, 0, 1, 0, 3, 1, 0, 1, 0, 1, 4, 2, 4, 0, 3, 4, 0, 0, 3, 0, 2, 2, 0, 4, 1, 1, 1, 3, 3, 2, 4, 1, 4, 4, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 3, 4, 3, 3, 4, 2, 4, 4, 4, 3, 4, 2, 3, 0, 3, 2, 0, 1, 1, 4, 2, 0, 4, 0, 4, 0, 2, 2, 0, 1, 1, 4, 1, 0, 0, 2, 3, 2, 1, 3, 2, 2, 2, 0, 4, 0, 1, 3, 4, 4, 3, 0, 2, 3, 3, 2, 2, 1, 3, 3, 3, 3, 1, 1, 1, 3, 2, 0, 3, 0, 0, 4, 4, 3, 4, 3, 0, 2, 3, 2, 1, 1, 3, 4, 2, 4, 3, 0, 1, 1, 2, 1, 2, 4, 1, 2, 2, 3, 2, 0, 3, 0, 0, 3, 3, 2, 2, 3, 2, 3, 0, 0, 3, 0, 4, 0, 0, 2, 0, 0, 1, 4, 4, 1, 4, 1, 4, 3, 4, 2, 4, 0, 4, 1, 2, 3, 3, 4, 4, 2, 4, 0, 1, 0, 1, 4, 2, 0, 2, 3, 3, 3, 1, 0, 3, 3, 4, 1, 2, 1, 4, 4, 1, 4, 4, 4, 1, 3, 4, 4, 3, 3, 0, 0, 4, 1, 3, 2, 2, 0, 4, 4, 1, 3, 3, 4, 1, 1, 2, 3, 4, 2, 4, 0, 2, 3, 4, 1, 2, 3, 1, 1, 0, 4, 2, 4, 4, 3, 3, 0, 3, 2, 1, 4, 1, 0, 1, 0, 3, 2, 0, 1, 0, 2, 1, 0, 3, 3, 1, 3, 0, 1, 1, 4, 2, 0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 4, 1, 1, 0, 4, 4, 2, 4, 4, 1, 2, 0, 2, 1, 3, 1, 1, 2, 4, 2, 2, 3, 2, 1, 2, 0, 1, 2, 4, 1, 4, 1, 1, 1, 0]
pubkeycol1516 = [4, 3, 4, 1, 3, 0, 3, 1, 3, 1, 3, 1, 3, 0, 2, 0, 0, 2, 3, 4, 2, 1, 3, 4, 0, 0, 2, 3, 1, 3, 4, 0, 4, 1, 4, 0, 0, 1, 1, 0, 3, 2, 1, 3, 3, 4, 0, 0, 2, 0, 1, 4, 1, 4, 0, 4, 3, 0, 3, 4, 2, 2, 0, 0, 0, 2, 1, 3, 3, 3, 0, 2, 1, 2, 4, 2, 4, 1, 1, 4, 1, 4, 1, 1, 1, 4, 0, 4, 2, 3, 1, 2, 3, 3, 3, 1, 2, 2, 2, 0, 3, 3, 3, 1, 4, 4, 2, 1, 1, 3, 2, 3, 4, 1, 2, 4, 0, 3, 3, 0, 3, 1, 0, 2, 4, 4, 3, 1, 1, 0, 0, 0, 3, 4, 1, 0, 3, 4, 3, 0, 4, 0, 3, 3, 3, 2, 0, 2, 0, 3, 2, 2, 1, 0, 3, 2, 4, 4, 3, 2, 3, 2, 1, 4, 4, 0, 3, 0, 3, 0, 3, 2, 3, 1, 2, 1, 3, 1, 4, 4, 4, 4, 0, 0, 0, 0, 1, 0, 2, 3, 1, 0, 4, 1, 4, 2, 4, 3, 0, 4, 1, 2, 4, 3, 3, 3, 3, 4, 4, 0, 1, 2, 1, 1, 3, 0, 1, 0, 4, 3, 0, 0, 0, 4, 0, 4, 2, 4, 3, 2, 0, 0, 0, 4, 3, 3, 4, 1, 0, 4, 2, 4, 3, 3, 0, 4, 4, 3, 4, 2, 1, 0, 2, 3, 2, 4, 0, 2, 1, 4, 0, 0, 2, 2, 0, 2, 3, 4, 3, 2, 3, 3, 2, 3, 1, 4, 0, 2, 3, 2, 1, 3, 4, 2, 4, 2, 0, 0, 1, 2, 3, 0, 0, 1, 0, 2, 4, 4, 1, 4, 2, 4, 0, 4, 2, 0, 3, 2, 2, 1, 0, 2, 0, 2, 4, 4, 0, 2, 4, 0, 3, 3, 3, 0, 2, 3, 2, 2, 0, 2, 1, 4, 1, 2, 3, 0, 3, 1, 3, 3, 1, 0, 0, 4, 1, 3, 1, 2, 4, 1, 2, 2, 4, 3, 1, 0, 2, 0, 3, 4, 1, 4, 2, 4, 1, 1, 4, 1, 2, 2, 2, 3, 2, 2, 3, 2, 0, 2, 0, 2, 1, 4, 2, 0, 4, 0, 3, 2, 4, 4, 3, 0, 0, 3, 4, 4, 3, 1, 3, 3, 0, 2, 4, 4, 2, 4, 3, 2, 4, 3, 3, 3, 3, 4, 4, 1, 4, 3, 1, 4, 2, 1, 3, 3, 3, 3, 1, 1, 0, 4, 0, 4, 0, 3, 4, 1, 2, 4, 4, 1, 0, 3, 2, 3, 1, 2, 3, 4, 3, 4, 0, 2, 3, 4, 0, 0, 4, 4, 1, 2, 0, 1, 1, 2, 1, 3, 0, 4, 2, 2, 3, 2, 3, 3, 4, 0, 3, 0, 2, 3, 4, 0, 4, 1, 0, 2, 0, 3, 1, 3, 2, 3, 4, 4, 1, 2, 3, 3, 4, 0, 2, 2, 2, 4, 0]
pubkeycol1517 = [4, 2, 1, 0, 4, 1, 1, 0, 0, 0, 3, 1, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 3, 0, 0, 1, 4, 3, 0, 3, 1, 3, 4, 0, 1, 3, 0, 1, 0, 1, 0, 4, 2, 2, 4, 3, 3, 2, 0, 1, 3, 2, 0, 4, 2, 0, 4, 0, 2, 2, 2, 2, 4, 1, 1, 3, 1, 3, 0, 2, 3, 1, 1, 2, 0, 0, 1, 4, 3, 4, 1, 0, 2, 2, 0, 2, 0, 0, 4, 2, 0, 3, 3, 3, 3, 0, 0, 4, 4, 3, 1, 2, 1, 3, 1, 2, 2, 3, 4, 0, 2, 2, 2, 0, 2, 2, 3, 1, 1, 4, 2, 2, 0, 3, 1, 3, 4, 1, 3, 0, 2, 1, 3, 3, 1, 3, 2, 2, 4, 3, 2, 0, 4, 4, 1, 3, 1, 4, 4, 0, 2, 1, 0, 3, 4, 4, 4, 0, 0, 4, 4, 3, 2, 1, 2, 0, 4, 2, 1, 4, 2, 4, 1, 4, 4, 1, 2, 3, 3, 4, 1, 1, 3, 1, 2, 0, 4, 0, 1, 0, 2, 1, 4, 1, 3, 3, 1, 1, 2, 3, 1, 4, 3, 0, 3, 3, 4, 3, 3, 4, 4, 4, 2, 2, 3, 0, 0, 1, 2, 0, 0, 4, 0, 1, 4, 3, 0, 0, 2, 3, 2, 3, 3, 0, 0, 4, 3, 1, 0, 3, 0, 4, 0, 1, 1, 0, 3, 4, 3, 0, 0, 1, 2, 3, 3, 4, 0, 2, 2, 3, 4, 1, 1, 2, 0, 3, 3, 3, 4, 1, 2, 1, 3, 2, 3, 1, 1, 0, 1, 1, 1, 0, 3, 2, 1, 3, 3, 4, 3, 4, 0, 3, 2, 1, 1, 1, 4, 4, 1, 1, 2, 0, 1, 0, 3, 3, 3, 4, 3, 0, 2, 3, 4, 0, 1, 0, 0, 0, 0, 4, 1, 0, 0, 2, 3, 3, 4, 1, 4, 2, 4, 3, 0, 3, 2, 3, 3, 2, 0, 2, 1, 3, 1, 2, 3, 0, 4, 2, 3, 3, 0, 2, 0, 3, 1, 2, 3, 1, 4, 4, 0, 3, 4, 0, 2, 1, 1, 4, 2, 2, 0, 2, 2, 2, 2, 2, 0, 3, 4, 3, 0, 4, 2, 1, 4, 3, 1, 4, 0, 2, 4, 3, 3, 3, 1, 1, 4, 1, 2, 0, 3, 2, 0, 0, 2, 0, 3, 3, 1, 1, 4, 1, 3, 0, 4, 2, 1, 1, 4, 2, 4, 2, 4, 1, 3, 3, 2, 2, 1, 0, 3, 0, 4, 0, 1, 0, 3, 2, 0, 2, 3, 4, 4, 0, 0, 4, 1, 2, 1, 3, 1, 3, 3, 1, 1, 3, 2, 4, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 4, 4, 0, 1, 2, 0, 1, 0, 2, 0, 2, 3, 2, 1, 1, 1, 0, 1, 4, 0, 0, 3, 1, 3, 0, 4, 0, 4, 2]
pubkeycol1518 = [2, 2, 0, 1, 4, 2, 2, 1, 3, 2, 1, 3, 0, 2, 0, 3, 1, 3, 1, 4, 1, 1, 3, 0, 4, 0, 4, 2, 0, 2, 2, 0, 0, 0, 4, 1, 4, 0, 4, 1, 2, 4, 4, 3, 3, 0, 3, 3, 4, 1, 1, 1, 0, 3, 4, 2, 1, 2, 0, 2, 0, 1, 4, 1, 2, 1, 1, 0, 1, 4, 2, 3, 0, 1, 1, 1, 3, 1, 3, 1, 1, 1, 2, 2, 2, 4, 1, 2, 2, 0, 4, 2, 1, 4, 2, 3, 3, 3, 3, 3, 1, 0, 2, 2, 2, 2, 4, 2, 2, 3, 0, 3, 4, 0, 1, 3, 2, 4, 1, 1, 0, 3, 4, 0, 0, 2, 2, 3, 3, 0, 1, 3, 4, 2, 3, 4, 1, 4, 4, 4, 2, 1, 0, 2, 2, 1, 3, 3, 3, 1, 0, 2, 4, 3, 3, 4, 2, 2, 0, 2, 1, 1, 4, 4, 3, 4, 0, 4, 4, 0, 0, 4, 4, 1, 4, 2, 0, 4, 0, 0, 2, 0, 3, 4, 2, 3, 3, 2, 2, 1, 2, 4, 1, 2, 4, 4, 2, 2, 2, 1, 2, 2, 4, 3, 2, 1, 2, 4, 1, 4, 4, 1, 0, 0, 4, 4, 1, 1, 3, 2, 0, 2, 0, 4, 3, 4, 0, 3, 0, 1, 3, 0, 2, 1, 3, 4, 1, 1, 2, 4, 0, 0, 1, 4, 4, 0, 3, 1, 2, 3, 1, 4, 1, 3, 4, 2, 1, 3, 0, 1, 4, 0, 3, 4, 1, 4, 2, 3, 3, 3, 4, 2, 4, 3, 1, 4, 0, 0, 0, 2, 1, 0, 4, 3, 1, 4, 1, 3, 1, 1, 4, 1, 4, 1, 2, 4, 3, 1, 0, 4, 1, 0, 0, 2, 0, 1, 4, 4, 0, 0, 0, 1, 4, 1, 2, 0, 2, 4, 0, 0, 3, 0, 2, 3, 4, 1, 0, 3, 4, 0, 3, 0, 4, 2, 2, 3, 1, 2, 0, 0, 4, 4, 2, 4, 1, 3, 0, 1, 2, 3, 2, 4, 4, 4, 1, 3, 3, 0, 4, 1, 2, 4, 3, 0, 4, 3, 0, 4, 1, 1, 2, 3, 0, 4, 1, 4, 0, 4, 1, 3, 1, 1, 0, 0, 4, 1, 2, 4, 3, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 3, 1, 1, 4, 2, 3, 1, 2, 2, 0, 3, 2, 4, 2, 1, 0, 4, 3, 0, 1, 4, 3, 3, 4, 1, 2, 1, 2, 2, 1, 1, 1, 2, 3, 2, 0, 4, 3, 4, 4, 4, 4, 2, 0, 0, 0, 1, 4, 1, 2, 3, 0, 0, 4, 1, 1, 4, 0, 0, 3, 2, 0, 2, 3, 0, 1, 1, 0, 4, 0, 3, 1, 1, 0, 0, 2, 4, 2, 0, 3, 3, 0, 2, 2, 4, 4, 3, 2, 3, 4, 3, 0, 3, 1, 0, 4, 2, 3, 3, 1, 3, 3]
pubkeycol1519 = [2, 4, 1, 4, 3, 0, 2, 4, 0, 4, 4, 3, 1, 4, 3, 1, 4, 2, 1, 3, 2, 0, 2, 1, 4, 2, 2, 2, 1, 1, 4, 1, 4, 2, 1, 1, 4, 3, 1, 3, 3, 1, 4, 2, 3, 3, 1, 1, 4, 1, 3, 1, 2, 0, 4, 0, 3, 2, 1, 2, 4, 0, 2, 3, 1, 2, 4, 1, 2, 0, 4, 0, 1, 0, 3, 2, 1, 1, 0, 0, 4, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 4, 4, 0, 1, 2, 3, 0, 3, 1, 4, 1, 1, 2, 3, 3, 2, 2, 2, 1, 4, 0, 2, 4, 3, 1, 2, 4, 3, 1, 1, 2, 0, 4, 0, 1, 1, 3, 4, 4, 4, 1, 4, 4, 2, 2, 3, 4, 3, 0, 3, 1, 3, 1, 0, 4, 0, 2, 2, 2, 3, 0, 3, 4, 4, 0, 1, 1, 4, 0, 1, 0, 0, 4, 2, 0, 0, 0, 2, 0, 3, 2, 1, 1, 0, 1, 3, 0, 0, 0, 3, 1, 3, 2, 2, 4, 2, 3, 2, 1, 1, 2, 2, 0, 1, 1, 4, 1, 0, 3, 2, 4, 3, 1, 2, 0, 1, 1, 4, 2, 1, 1, 3, 2, 4, 4, 3, 4, 1, 4, 0, 0, 4, 3, 2, 2, 1, 1, 2, 4, 1, 4, 1, 4, 4, 0, 0, 1, 3, 0, 1, 0, 3, 2, 1, 0, 4, 0, 2, 4, 2, 0, 1, 1, 4, 3, 0, 2, 3, 1, 2, 0, 3, 0, 4, 3, 4, 4, 4, 1, 4, 3, 3, 1, 4, 2, 0, 4, 0, 0, 4, 2, 3, 2, 2, 1, 0, 0, 0, 3, 0, 3, 0, 1, 2, 3, 4, 0, 1, 3, 4, 2, 3, 3, 4, 0, 2, 1, 2, 4, 4, 2, 0, 3, 0, 2, 0, 2, 3, 3, 1, 2, 3, 3, 2, 2, 3, 0, 3, 2, 1, 1, 3, 1, 3, 1, 3, 3, 4, 4, 4, 1, 4, 2, 4, 2, 2, 4, 0, 3, 1, 3, 0, 2, 1, 0, 0, 2, 3, 2, 0, 3, 2, 3, 3, 2, 4, 0, 1, 0, 4, 2, 4, 3, 1, 4, 1, 4, 2, 1, 1, 0, 3, 4, 4, 0, 1, 4, 1, 0, 2, 3, 0, 2, 3, 0, 3, 3, 2, 3, 0, 3, 0, 0, 1, 2, 2, 0, 0, 1, 0, 4, 1, 3, 3, 2, 4, 0, 1, 4, 4, 3, 0, 1, 0, 0, 4, 1, 3, 2, 3, 2, 4, 1, 4, 3, 0, 1, 0, 0, 0, 2, 3, 4, 0, 3, 0, 3, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 4, 2, 0, 3, 4, 4, 1, 0, 1, 1, 2, 0, 0, 3, 3, 4, 2, 4, 1, 3, 2, 0, 4, 2, 2, 1, 1, 0, 0, 0, 4, 1, 3, 1, 2, 0, 2, 2, 0, 0, 0, 3, 2, 3, 3, 3, 0]
pubkeycol1520 = [3, 1, 2, 0, 1, 0, 4, 0, 3, 1, 2, 2, 4, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 3, 3, 4, 1, 0, 4, 2, 3, 3, 1, 4, 0, 1, 3, 3, 1, 2, 1, 3, 2, 3, 4, 4, 4, 1, 0, 4, 0, 3, 1, 4, 1, 0, 1, 1, 2, 1, 4, 4, 0, 0, 4, 1, 2, 0, 0, 1, 1, 0, 0, 2, 4, 2, 3, 1, 0, 0, 3, 0, 4, 2, 2, 3, 0, 3, 3, 2, 3, 4, 3, 1, 2, 0, 1, 1, 0, 4, 1, 2, 3, 3, 1, 0, 2, 3, 2, 2, 1, 0, 3, 3, 1, 1, 2, 3, 0, 1, 1, 4, 3, 2, 4, 1, 0, 4, 3, 0, 2, 4, 2, 3, 1, 3, 3, 4, 4, 1, 2, 0, 1, 4, 1, 2, 1, 3, 3, 4, 0, 2, 1, 4, 4, 4, 1, 3, 2, 1, 4, 1, 4, 3, 0, 1, 1, 2, 4, 0, 3, 1, 1, 0, 3, 3, 0, 2, 2, 3, 0, 0, 2, 4, 4, 1, 1, 2, 1, 4, 2, 4, 1, 0, 4, 1, 2, 3, 2, 0, 1, 4, 1, 0, 3, 0, 2, 4, 4, 3, 2, 2, 3, 1, 0, 0, 0, 3, 1, 3, 1, 1, 4, 2, 1, 2, 2, 2, 2, 2, 1, 4, 0, 3, 4, 3, 4, 3, 0, 4, 4, 2, 4, 0, 2, 4, 4, 1, 1, 1, 2, 3, 0, 1, 4, 1, 1, 0, 0, 0, 4, 2, 4, 2, 1, 4, 2, 3, 2, 3, 0, 1, 2, 1, 1, 3, 1, 4, 1, 3, 0, 0, 0, 4, 3, 3, 2, 0, 3, 3, 2, 3, 4, 1, 2, 4, 2, 1, 3, 0, 4, 3, 0, 0, 2, 4, 3, 1, 4, 2, 4, 3, 2, 1, 0, 1, 4, 3, 1, 2, 4, 2, 4, 2, 1, 4, 3, 4, 0, 1, 0, 3, 2, 3, 2, 3, 3, 2, 1, 3, 4, 0, 1, 3, 0, 3, 2, 3, 0, 1, 3, 1, 4, 1, 0, 2, 3, 2, 4, 4, 1, 1, 2, 4, 1, 1, 3, 3, 4, 2, 0, 0, 0, 0, 0, 4, 4, 0, 2, 0, 2, 1, 2, 4, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 3, 2, 4, 4, 4, 3, 1, 4, 3, 1, 3, 0, 4, 3, 2, 4, 4, 4, 4, 2, 4, 0, 1, 2, 0, 0, 2, 4, 1, 3, 0, 3, 1, 0, 4, 1, 2, 1, 4, 4, 1, 2, 3, 0, 2, 3, 3, 3, 2, 0, 2, 1, 4, 1, 1, 2, 2, 3, 3, 2, 1, 1, 0, 2, 0, 0, 4, 0, 1, 4, 3, 2, 1, 2, 0, 2, 2, 2, 0, 0, 3, 2, 1, 4, 2, 0, 1, 3, 2, 1, 2, 1, 1, 1, 3, 4, 2, 1, 2, 0, 0, 0, 1, 1, 0]
pubkeycol1521 = [4, 4, 3, 3, 2, 3, 4, 3, 3, 3, 4, 4, 2, 3, 2, 4, 4, 2, 0, 3, 0, 1, 1, 1, 0, 2, 0, 3, 3, 3, 1, 3, 4, 4, 3, 3, 4, 2, 4, 0, 2, 1, 3, 1, 4, 3, 1, 2, 0, 4, 2, 3, 0, 0, 1, 4, 2, 1, 3, 2, 0, 4, 1, 2, 4, 2, 1, 4, 3, 3, 4, 2, 3, 2, 4, 4, 1, 0, 2, 3, 4, 2, 3, 0, 2, 2, 1, 0, 2, 0, 4, 3, 0, 1, 2, 0, 1, 4, 1, 3, 3, 2, 4, 2, 0, 3, 2, 2, 1, 4, 2, 1, 2, 1, 2, 1, 0, 1, 3, 3, 3, 0, 4, 4, 1, 3, 4, 2, 2, 1, 0, 4, 4, 3, 3, 3, 4, 1, 3, 1, 4, 0, 4, 2, 0, 2, 1, 1, 3, 1, 1, 0, 3, 1, 3, 1, 4, 0, 3, 1, 4, 0, 4, 0, 3, 2, 2, 3, 3, 4, 4, 1, 2, 4, 0, 2, 3, 1, 2, 3, 0, 1, 3, 4, 2, 0, 2, 3, 0, 4, 3, 3, 4, 0, 2, 2, 0, 0, 3, 2, 0, 1, 2, 3, 3, 0, 1, 4, 3, 4, 2, 1, 0, 1, 0, 2, 0, 0, 4, 2, 4, 0, 4, 4, 4, 3, 4, 1, 1, 3, 1, 4, 1, 2, 2, 2, 3, 3, 4, 4, 4, 3, 1, 1, 0, 2, 4, 3, 0, 4, 1, 4, 4, 2, 3, 4, 3, 1, 3, 1, 1, 1, 4, 3, 3, 2, 4, 1, 0, 1, 1, 4, 1, 2, 1, 1, 3, 4, 4, 2, 4, 2, 1, 4, 3, 0, 2, 2, 0, 1, 4, 4, 2, 3, 1, 0, 4, 1, 0, 1, 3, 1, 0, 4, 2, 0, 0, 3, 0, 2, 3, 3, 2, 3, 0, 2, 4, 1, 3, 4, 0, 0, 4, 2, 1, 0, 4, 0, 1, 2, 1, 0, 3, 1, 1, 1, 4, 2, 4, 2, 4, 2, 1, 1, 3, 3, 3, 3, 4, 0, 4, 0, 2, 2, 0, 1, 2, 1, 1, 3, 1, 1, 0, 2, 4, 0, 0, 3, 3, 3, 4, 3, 4, 1, 1, 4, 3, 2, 1, 1, 2, 2, 1, 4, 0, 2, 3, 1, 3, 1, 3, 3, 1, 4, 1, 3, 0, 1, 0, 4, 2, 3, 1, 1, 3, 0, 0, 2, 3, 0, 0, 2, 3, 0, 3, 0, 0, 4, 0, 0, 2, 0, 1, 2, 0, 0, 3, 0, 4, 3, 2, 3, 0, 4, 2, 0, 3, 0, 3, 3, 0, 1, 3, 2, 1, 4, 0, 2, 4, 3, 0, 3, 1, 3, 1, 4, 1, 3, 4, 1, 1, 4, 0, 3, 2, 2, 4, 0, 0, 4, 0, 3, 0, 3, 2, 2, 3, 3, 2, 3, 1, 0, 2, 1, 4, 4, 3, 4, 1, 0, 1, 2, 0, 0, 0, 3, 3, 1, 2, 3, 0, 4, 0, 3, 3]
pubkeycol1522 = [2, 1, 2, 1, 3, 0, 2, 2, 3, 4, 0, 4, 1, 3, 4, 0, 0, 4, 4, 0, 1, 4, 3, 3, 4, 3, 1, 1, 3, 2, 4, 4, 4, 1, 4, 2, 2, 4, 1, 1, 1, 3, 1, 3, 1, 2, 3, 3, 2, 2, 3, 1, 3, 3, 1, 1, 2, 4, 3, 4, 3, 0, 2, 0, 0, 4, 2, 0, 3, 1, 2, 0, 3, 0, 1, 4, 1, 0, 1, 3, 3, 0, 2, 4, 3, 1, 4, 0, 4, 3, 1, 4, 4, 1, 3, 4, 3, 2, 2, 1, 1, 0, 0, 2, 1, 1, 3, 3, 1, 3, 3, 0, 4, 2, 2, 0, 0, 2, 0, 2, 0, 3, 1, 1, 4, 0, 3, 1, 1, 1, 2, 4, 1, 3, 3, 2, 3, 4, 4, 0, 2, 2, 4, 4, 4, 2, 0, 3, 0, 4, 4, 1, 0, 3, 4, 2, 0, 3, 4, 0, 0, 4, 2, 3, 3, 3, 4, 1, 2, 0, 1, 2, 0, 4, 0, 1, 3, 4, 1, 4, 3, 2, 4, 3, 0, 3, 4, 4, 4, 4, 2, 0, 3, 3, 2, 4, 0, 4, 0, 1, 2, 2, 3, 4, 2, 1, 2, 2, 3, 0, 0, 2, 4, 3, 2, 4, 4, 0, 3, 3, 1, 3, 2, 3, 4, 1, 3, 3, 3, 4, 3, 2, 4, 2, 2, 0, 1, 1, 1, 2, 2, 2, 4, 3, 3, 3, 0, 1, 2, 2, 4, 2, 3, 4, 2, 4, 1, 0, 1, 0, 1, 3, 0, 1, 2, 4, 4, 2, 0, 4, 3, 3, 3, 0, 4, 0, 1, 3, 0, 4, 1, 1, 0, 4, 0, 2, 3, 3, 2, 2, 3, 1, 0, 4, 1, 1, 0, 0, 1, 1, 3, 1, 0, 4, 1, 3, 2, 0, 2, 2, 4, 3, 4, 4, 0, 3, 0, 2, 0, 2, 3, 3, 0, 3, 2, 4, 1, 1, 3, 0, 3, 3, 2, 4, 0, 2, 3, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 3, 0, 1, 2, 3, 3, 1, 2, 3, 1, 4, 3, 4, 4, 1, 4, 1, 3, 1, 3, 3, 3, 3, 3, 1, 4, 3, 3, 0, 3, 1, 1, 3, 2, 2, 3, 4, 1, 4, 3, 0, 1, 0, 1, 0, 1, 2, 0, 1, 4, 4, 0, 1, 2, 2, 2, 1, 4, 2, 4, 2, 3, 3, 3, 4, 2, 4, 1, 3, 0, 1, 2, 4, 3, 1, 3, 1, 2, 2, 2, 4, 3, 0, 4, 0, 2, 2, 4, 2, 4, 4, 4, 3, 0, 2, 4, 4, 2, 3, 3, 3, 4, 1, 3, 3, 0, 3, 3, 0, 2, 3, 3, 1, 4, 0, 3, 4, 2, 0, 1, 1, 1, 1, 4, 1, 4, 2, 4, 4, 1, 0, 1, 3, 4, 2, 3, 1, 0, 0, 4, 0, 1, 1, 4, 0, 2, 4]
pubkeycol1523 = [2, 4, 1, 1, 2, 2, 2, 4, 4, 4, 0, 2, 2, 1, 0, 0, 3, 2, 0, 2, 0, 2, 1, 0, 4, 4, 3, 1, 1, 2, 1, 0, 1, 3, 4, 2, 0, 3, 0, 3, 1, 1, 3, 0, 0, 1, 3, 0, 4, 3, 3, 3, 3, 4, 3, 1, 0, 3, 3, 3, 2, 4, 1, 4, 2, 3, 2, 2, 0, 0, 4, 3, 2, 2, 2, 4, 1, 1, 4, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 4, 2, 4, 2, 4, 4, 0, 3, 3, 2, 1, 1, 2, 3, 2, 0, 0, 3, 4, 4, 2, 1, 2, 3, 4, 1, 3, 1, 2, 0, 2, 0, 3, 0, 0, 2, 2, 1, 3, 3, 4, 0, 2, 2, 4, 3, 1, 0, 3, 3, 2, 2, 1, 2, 3, 3, 0, 4, 2, 0, 1, 3, 3, 1, 4, 1, 0, 1, 3, 0, 2, 3, 0, 4, 3, 3, 1, 0, 1, 0, 1, 3, 1, 2, 3, 2, 2, 3, 2, 0, 2, 3, 1, 0, 4, 1, 1, 2, 1, 0, 4, 4, 0, 2, 4, 1, 2, 4, 0, 1, 3, 4, 2, 2, 0, 2, 1, 2, 0, 4, 0, 3, 2, 4, 4, 2, 3, 0, 3, 3, 4, 3, 3, 1, 0, 1, 3, 2, 3, 3, 4, 2, 0, 2, 4, 3, 4, 2, 1, 1, 4, 3, 2, 0, 4, 2, 1, 0, 1, 1, 3, 1, 1, 2, 0, 4, 3, 1, 3, 4, 1, 4, 3, 1, 4, 0, 0, 3, 1, 1, 4, 1, 1, 1, 4, 2, 3, 4, 4, 2, 3, 4, 2, 3, 0, 1, 2, 3, 2, 4, 3, 2, 0, 1, 2, 4, 1, 4, 2, 4, 0, 4, 1, 4, 1, 0, 1, 1, 4, 4, 2, 1, 3, 1, 2, 0, 2, 4, 3, 4, 1, 0, 0, 2, 2, 0, 1, 3, 3, 0, 2, 1, 2, 3, 2, 3, 3, 2, 0, 1, 0, 1, 1, 2, 2, 0, 3, 0, 3, 3, 1, 1, 3, 2, 2, 4, 0, 4, 1, 0, 1, 2, 0, 3, 0, 3, 0, 1, 4, 0, 2, 3, 3, 2, 2, 4, 4, 0, 3, 0, 4, 3, 1, 4, 0, 2, 0, 4, 2, 2, 2, 4, 1, 0, 4, 4, 0, 2, 0, 4, 0, 2, 4, 0, 1, 0, 4, 3, 2, 3, 0, 0, 2, 1, 1, 0, 3, 2, 1, 1, 4, 4, 3, 0, 3, 1, 4, 0, 2, 0, 3, 0, 4, 0, 0, 3, 3, 1, 4, 1, 3, 3, 0, 3, 2, 1, 2, 2, 2, 1, 3, 3, 2, 2, 2, 1, 1, 3, 2, 3, 1, 2, 1, 4, 1, 2, 2, 0, 1, 0, 3, 0, 1, 3, 2, 3, 3, 2, 4, 0, 1, 0, 1, 3, 0, 3, 2, 3, 2, 2, 2, 4, 4, 2, 2, 3, 4, 4, 3, 3, 1, 1, 3]
pubkeycol1524 = [1, 3, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 4, 4, 4, 1, 2, 2, 4, 4, 4, 4, 3, 0, 0, 3, 4, 4, 2, 4, 2, 2, 0, 3, 0, 1, 1, 3, 3, 3, 2, 2, 1, 4, 3, 3, 2, 4, 0, 0, 4, 3, 1, 1, 2, 4, 2, 2, 0, 1, 0, 1, 4, 1, 4, 0, 4, 2, 2, 0, 2, 0, 1, 2, 4, 3, 2, 0, 1, 2, 3, 3, 2, 0, 4, 4, 1, 0, 1, 4, 0, 3, 2, 3, 0, 3, 0, 2, 4, 2, 0, 3, 0, 4, 1, 2, 0, 1, 1, 3, 4, 0, 3, 4, 3, 0, 3, 0, 3, 1, 2, 0, 2, 1, 1, 0, 4, 3, 1, 3, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 4, 4, 1, 0, 2, 1, 2, 1, 2, 2, 1, 3, 1, 2, 0, 4, 1, 3, 2, 2, 4, 0, 0, 4, 2, 3, 4, 0, 0, 4, 1, 4, 4, 4, 3, 0, 4, 2, 1, 0, 3, 1, 4, 2, 0, 4, 1, 4, 1, 3, 0, 1, 2, 1, 0, 4, 1, 0, 2, 2, 4, 2, 4, 2, 1, 3, 3, 1, 4, 4, 3, 0, 4, 4, 3, 1, 0, 1, 1, 1, 4, 0, 2, 2, 2, 1, 3, 0, 1, 4, 1, 1, 2, 0, 4, 1, 0, 4, 1, 1, 3, 3, 3, 3, 1, 0, 2, 0, 2, 3, 1, 4, 1, 0, 4, 4, 2, 2, 4, 1, 3, 1, 1, 3, 2, 2, 3, 4, 0, 0, 2, 0, 1, 1, 2, 3, 1, 1, 1, 1, 2, 0, 4, 2, 2, 4, 3, 1, 0, 3, 3, 2, 1, 3, 0, 4, 1, 0, 1, 0, 4, 4, 4, 2, 4, 2, 4, 1, 4, 3, 4, 4, 3, 1, 2, 4, 1, 0, 4, 1, 3, 2, 1, 1, 4, 0, 2, 0, 0, 1, 1, 2, 4, 2, 1, 3, 0, 0, 2, 1, 4, 0, 4, 4, 4, 1, 0, 0, 2, 1, 2, 2, 4, 3, 1, 4, 2, 2, 1, 3, 4, 3, 2, 1, 4, 1, 3, 4, 3, 4, 4, 2, 3, 3, 0, 3, 3, 3, 2, 1, 0, 3, 1, 2, 4, 0, 0, 2, 0, 0, 3, 2, 1, 0, 0, 0, 0, 2, 4, 4, 2, 2, 2, 0, 3, 0, 1, 3, 3, 4, 2, 4, 3, 3, 1, 4, 0, 1, 1, 4, 0, 1, 3, 0, 2, 0, 2, 0, 2, 4, 0, 0, 1, 3, 4, 0, 1, 4, 4, 1, 2, 3, 2, 4, 3, 2, 0, 2, 1, 3, 4, 3, 2, 2, 0, 2, 2, 3, 1, 1, 0, 2, 4, 0, 1, 3, 1, 0, 4, 0, 1, 4, 0, 4, 3, 1, 4, 3, 3, 3, 1, 0, 0, 2, 2, 3, 2, 2, 3, 2, 1, 1, 4, 1, 1, 2, 4, 4, 4, 2, 1, 2]
pubkeycol1525 = [3, 3, 3, 0, 2, 2, 4, 1, 4, 0, 4, 0, 3, 1, 0, 0, 3, 2, 4, 3, 3, 1, 4, 2, 1, 0, 0, 3, 3, 4, 2, 1, 3, 4, 3, 0, 3, 1, 1, 2, 4, 4, 0, 3, 2, 4, 1, 1, 1, 0, 2, 3, 4, 1, 1, 1, 3, 0, 2, 2, 3, 1, 2, 1, 3, 4, 2, 1, 2, 3, 3, 2, 4, 4, 4, 3, 4, 0, 4, 2, 3, 4, 2, 0, 2, 3, 0, 0, 2, 3, 1, 3, 3, 1, 3, 4, 2, 2, 2, 2, 3, 4, 1, 0, 1, 3, 3, 0, 0, 4, 2, 2, 3, 1, 2, 0, 4, 2, 1, 1, 1, 0, 4, 1, 1, 2, 2, 3, 3, 0, 2, 0, 2, 4, 4, 1, 1, 2, 4, 2, 0, 1, 3, 4, 4, 4, 0, 2, 2, 3, 2, 0, 1, 3, 2, 3, 0, 0, 0, 4, 1, 3, 1, 2, 4, 3, 4, 4, 3, 4, 4, 1, 2, 1, 0, 2, 4, 1, 4, 2, 4, 3, 1, 2, 0, 1, 2, 1, 4, 3, 0, 4, 4, 1, 0, 3, 3, 4, 0, 4, 2, 0, 2, 2, 1, 3, 1, 1, 4, 1, 3, 0, 1, 2, 2, 2, 3, 3, 3, 3, 2, 4, 0, 3, 3, 3, 1, 0, 2, 0, 3, 0, 1, 4, 2, 2, 4, 3, 3, 1, 1, 4, 2, 3, 3, 1, 3, 4, 3, 3, 2, 1, 0, 2, 0, 4, 1, 2, 1, 1, 4, 1, 2, 1, 1, 2, 3, 1, 4, 0, 2, 0, 4, 3, 1, 4, 1, 3, 2, 2, 3, 0, 2, 3, 1, 1, 3, 3, 4, 4, 1, 1, 0, 1, 2, 4, 4, 0, 3, 1, 0, 1, 2, 0, 3, 3, 4, 3, 1, 1, 0, 3, 0, 2, 0, 3, 4, 3, 3, 4, 2, 1, 0, 4, 3, 3, 4, 2, 1, 3, 2, 1, 1, 3, 4, 4, 3, 4, 1, 2, 1, 3, 0, 4, 4, 2, 0, 0, 3, 1, 0, 3, 2, 0, 4, 3, 2, 4, 0, 1, 1, 3, 3, 3, 3, 2, 1, 3, 2, 3, 2, 0, 1, 3, 0, 2, 4, 3, 1, 1, 0, 4, 3, 4, 2, 2, 3, 3, 4, 1, 0, 4, 3, 0, 0, 4, 0, 0, 2, 2, 3, 1, 4, 2, 3, 0, 2, 0, 1, 1, 3, 3, 3, 4, 3, 1, 3, 1, 4, 2, 2, 0, 3, 3, 3, 0, 1, 1, 1, 3, 2, 3, 4, 1, 2, 1, 1, 3, 0, 3, 3, 1, 2, 1, 0, 2, 0, 3, 1, 0, 3, 0, 3, 1, 2, 3, 1, 1, 2, 2, 4, 3, 0, 1, 0, 2, 0, 2, 4, 3, 3, 0, 2, 3, 1, 0, 3, 1, 1, 1, 4, 0, 4, 4, 1, 2, 2, 2, 0, 3, 1, 4, 3, 4, 1, 4, 3, 4, 1, 0, 0, 3, 1, 4, 1]
pubkeycol1526 = [1, 0, 3, 4, 0, 2, 4, 1, 4, 0, 2, 1, 2, 2, 2, 2, 2, 4, 3, 0, 4, 1, 1, 3, 4, 3, 4, 1, 4, 0, 1, 1, 1, 4, 2, 3, 3, 3, 3, 3, 2, 2, 1, 4, 2, 3, 4, 3, 3, 4, 2, 0, 0, 1, 0, 4, 1, 1, 0, 0, 3, 4, 4, 3, 1, 0, 2, 0, 2, 1, 2, 3, 1, 2, 1, 1, 1, 3, 2, 2, 2, 2, 3, 0, 1, 1, 4, 2, 1, 3, 2, 2, 1, 1, 4, 0, 3, 2, 2, 0, 2, 1, 2, 0, 3, 3, 1, 2, 4, 1, 3, 4, 4, 2, 4, 1, 2, 1, 1, 2, 2, 4, 0, 3, 1, 3, 2, 2, 2, 3, 4, 0, 0, 2, 0, 3, 1, 3, 1, 0, 3, 4, 0, 0, 4, 3, 4, 1, 4, 3, 1, 4, 2, 4, 0, 2, 0, 0, 2, 2, 1, 3, 1, 0, 2, 2, 2, 2, 3, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 3, 2, 0, 2, 2, 3, 4, 1, 4, 2, 0, 3, 4, 2, 4, 3, 2, 1, 2, 4, 3, 4, 0, 0, 1, 4, 1, 2, 1, 1, 1, 0, 3, 3, 3, 0, 1, 0, 4, 2, 4, 4, 1, 2, 4, 1, 0, 3, 1, 3, 2, 0, 1, 4, 3, 4, 4, 4, 2, 4, 4, 4, 3, 0, 1, 2, 2, 1, 4, 1, 2, 0, 1, 4, 4, 2, 2, 1, 4, 2, 1, 0, 1, 4, 0, 3, 2, 1, 4, 3, 4, 3, 2, 3, 1, 0, 2, 4, 1, 2, 1, 3, 0, 0, 4, 4, 1, 3, 0, 4, 3, 0, 3, 1, 0, 4, 1, 2, 4, 2, 0, 3, 3, 0, 4, 4, 2, 3, 0, 2, 0, 0, 2, 0, 3, 3, 2, 4, 1, 1, 3, 2, 1, 1, 0, 2, 4, 0, 4, 1, 0, 0, 0, 2, 3, 4, 2, 2, 3, 0, 2, 3, 4, 1, 2, 2, 0, 2, 2, 4, 3, 3, 3, 0, 0, 0, 0, 0, 1, 0, 3, 0, 2, 0, 0, 1, 0, 2, 4, 3, 1, 0, 2, 2, 1, 0, 0, 3, 4, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 3, 4, 4, 3, 3, 4, 4, 1, 1, 3, 4, 2, 4, 3, 0, 1, 3, 2, 3, 0, 0, 2, 4, 1, 0, 1, 1, 0, 2, 3, 0, 3, 2, 1, 2, 3, 3, 2, 4, 1, 4, 4, 3, 2, 4, 2, 1, 1, 0, 0, 1, 4, 2, 0, 3, 0, 0, 3, 4, 0, 2, 1, 0, 2, 4, 2, 4, 2, 3, 3, 0, 1, 3, 0, 4, 3, 1, 0, 4, 0, 2, 3, 3, 1, 2, 4, 2, 1, 2, 2, 0, 0, 2, 0, 1, 3, 2, 3, 0, 4, 2, 3, 3, 0, 3, 0, 1, 2, 4, 3, 4, 3, 1, 4, 1]
pubkeycol1527 = [2, 2, 0, 0, 3, 2, 3, 2, 1, 4, 2, 4, 1, 3, 2, 2, 1, 1, 3, 4, 1, 3, 3, 3, 1, 4, 1, 0, 2, 0, 3, 1, 2, 1, 2, 1, 2, 1, 3, 3, 4, 2, 2, 1, 0, 3, 3, 0, 2, 3, 2, 2, 3, 1, 3, 4, 2, 0, 3, 3, 2, 1, 4, 3, 4, 2, 3, 0, 2, 4, 4, 3, 3, 2, 0, 2, 3, 0, 1, 2, 0, 2, 3, 0, 0, 1, 3, 3, 0, 4, 1, 1, 0, 2, 2, 4, 1, 3, 1, 3, 3, 3, 3, 1, 4, 2, 4, 2, 3, 2, 4, 4, 3, 3, 0, 3, 4, 2, 1, 0, 2, 2, 0, 2, 4, 0, 0, 1, 4, 2, 3, 1, 1, 2, 4, 0, 0, 0, 1, 2, 0, 0, 2, 4, 2, 4, 2, 3, 2, 4, 0, 2, 1, 4, 4, 3, 4, 1, 4, 0, 3, 1, 2, 3, 4, 2, 2, 1, 4, 2, 1, 3, 2, 3, 3, 4, 3, 0, 3, 4, 2, 1, 1, 0, 4, 1, 3, 2, 0, 3, 2, 3, 2, 1, 2, 2, 2, 1, 0, 3, 1, 4, 3, 2, 1, 4, 2, 1, 2, 2, 4, 3, 3, 4, 4, 4, 0, 3, 4, 1, 4, 4, 4, 4, 2, 2, 3, 0, 4, 2, 1, 4, 0, 0, 0, 2, 0, 0, 3, 0, 1, 4, 3, 4, 3, 0, 3, 1, 2, 2, 2, 4, 0, 0, 0, 3, 3, 2, 2, 0, 0, 1, 3, 0, 3, 4, 4, 1, 1, 0, 4, 3, 0, 0, 0, 0, 4, 3, 3, 3, 3, 4, 1, 2, 2, 4, 3, 0, 1, 4, 2, 4, 0, 4, 0, 4, 2, 3, 3, 2, 3, 2, 1, 4, 0, 0, 4, 1, 2, 2, 1, 4, 2, 4, 1, 2, 1, 1, 1, 2, 4, 3, 4, 4, 3, 0, 3, 3, 0, 2, 4, 3, 2, 1, 3, 0, 1, 2, 0, 4, 3, 0, 2, 0, 4, 3, 2, 1, 1, 3, 4, 4, 3, 4, 0, 1, 3, 3, 4, 3, 1, 0, 3, 2, 1, 3, 0, 0, 2, 1, 3, 2, 3, 2, 1, 2, 3, 1, 0, 1, 1, 0, 1, 0, 1, 0, 3, 3, 2, 2, 3, 3, 0, 0, 4, 2, 0, 4, 2, 1, 2, 1, 2, 4, 2, 3, 4, 1, 3, 2, 2, 2, 0, 3, 2, 4, 1, 0, 0, 1, 2, 4, 3, 1, 0, 0, 4, 4, 2, 2, 3, 2, 2, 3, 2, 0, 1, 1, 3, 0, 1, 2, 4, 0, 1, 1, 4, 4, 3, 1, 1, 1, 2, 4, 3, 3, 0, 1, 4, 3, 0, 2, 3, 1, 4, 3, 2, 2, 4, 0, 3, 0, 4, 2, 0, 2, 2, 0, 0, 2, 0, 4, 1, 1, 2, 3, 2, 0, 4, 1, 3, 3, 0, 3, 0, 1, 4, 2, 3, 0, 0, 1, 2, 4, 2]
pubkeycol1528 = [0, 4, 1, 3, 1, 0, 4, 2, 4, 0, 0, 0, 3, 2, 4, 0, 3, 4, 2, 2, 4, 1, 0, 2, 4, 1, 1, 1, 1, 1, 0, 1, 1, 2, 4, 0, 1, 3, 0, 1, 2, 3, 1, 3, 0, 4, 1, 4, 4, 4, 4, 2, 2, 4, 3, 0, 3, 1, 1, 3, 3, 2, 0, 3, 3, 4, 3, 4, 4, 3, 4, 0, 4, 4, 1, 2, 0, 3, 2, 4, 2, 3, 3, 3, 4, 2, 2, 2, 1, 2, 4, 1, 0, 4, 2, 4, 0, 0, 0, 1, 1, 2, 0, 2, 3, 2, 2, 2, 0, 2, 0, 4, 1, 2, 4, 3, 2, 0, 4, 2, 1, 1, 3, 2, 3, 0, 3, 1, 2, 2, 3, 2, 4, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 4, 0, 1, 2, 3, 2, 3, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 3, 1, 4, 3, 0, 0, 1, 3, 1, 1, 2, 0, 4, 3, 2, 3, 0, 4, 3, 4, 0, 1, 0, 1, 0, 3, 4, 2, 0, 4, 4, 0, 3, 0, 1, 4, 2, 0, 0, 0, 2, 4, 3, 1, 0, 2, 4, 4, 4, 4, 2, 2, 1, 3, 3, 2, 1, 4, 4, 0, 4, 2, 2, 2, 1, 2, 2, 2, 4, 2, 3, 4, 2, 4, 3, 3, 4, 4, 0, 4, 4, 4, 2, 4, 1, 1, 3, 3, 1, 4, 3, 3, 2, 0, 0, 0, 4, 1, 1, 2, 2, 4, 3, 2, 4, 4, 2, 1, 1, 1, 0, 3, 4, 1, 4, 3, 2, 2, 3, 4, 2, 0, 4, 1, 0, 4, 4, 3, 2, 2, 0, 4, 4, 4, 3, 1, 0, 0, 1, 2, 1, 3, 0, 0, 2, 2, 4, 0, 4, 1, 0, 1, 2, 2, 4, 3, 0, 0, 1, 4, 3, 1, 2, 2, 1, 3, 1, 4, 4, 4, 4, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 4, 3, 0, 1, 3, 1, 2, 1, 4, 0, 2, 1, 3, 3, 1, 0, 1, 4, 0, 3, 2, 3, 4, 3, 2, 0, 0, 1, 1, 4, 4, 4, 1, 4, 3, 4, 1, 3, 0, 4, 2, 2, 4, 3, 4, 3, 3, 1, 4, 1, 0, 1, 3, 1, 4, 1, 2, 0, 4, 1, 0, 3, 0, 0, 1, 3, 1, 4, 4, 1, 2, 1, 0, 2, 0, 1, 3, 1, 4, 1, 1, 0, 1, 2, 4, 2, 4, 1, 0, 0, 4, 4, 1, 3, 2, 3, 3, 1, 2, 3, 4, 3, 0, 3, 2, 0, 4, 2, 4, 3, 0, 3, 4, 3, 4, 0, 0, 2, 4, 0, 4, 3, 0, 1, 0, 1, 3, 2, 0, 0, 4, 4, 1, 3, 4, 0, 0, 4, 2, 1, 2, 3, 1, 4, 4, 0, 2, 1, 1, 3, 4, 4, 4, 3, 2, 4, 3, 2, 1, 4, 1]
pubkeycol1529 = [3, 4, 3, 4, 4, 2, 2, 2, 1, 4, 3, 1, 3, 4, 4, 3, 0, 4, 0, 3, 3, 2, 4, 2, 1, 3, 3, 1, 3, 2, 4, 3, 3, 0, 1, 2, 3, 1, 4, 1, 2, 1, 0, 3, 0, 4, 0, 2, 0, 0, 4, 0, 2, 2, 3, 4, 4, 2, 2, 3, 4, 4, 1, 3, 2, 2, 2, 0, 4, 1, 3, 4, 1, 3, 1, 0, 1, 3, 3, 4, 2, 2, 1, 3, 3, 2, 1, 0, 2, 3, 3, 3, 2, 4, 2, 2, 2, 4, 1, 2, 1, 2, 3, 0, 4, 0, 3, 0, 3, 4, 2, 0, 2, 1, 4, 2, 1, 0, 2, 4, 1, 4, 3, 4, 0, 0, 1, 3, 4, 4, 3, 0, 0, 4, 4, 4, 0, 0, 3, 0, 0, 2, 1, 2, 2, 0, 3, 0, 4, 0, 3, 2, 0, 3, 4, 4, 0, 2, 3, 3, 1, 1, 2, 0, 3, 0, 3, 1, 3, 0, 2, 4, 2, 2, 3, 4, 1, 2, 4, 0, 3, 1, 2, 1, 0, 3, 4, 3, 0, 1, 4, 2, 4, 1, 1, 4, 3, 3, 3, 3, 4, 0, 2, 3, 3, 2, 0, 3, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 3, 3, 4, 3, 1, 4, 1, 1, 3, 4, 3, 2, 3, 3, 4, 1, 4, 0, 1, 1, 0, 2, 2, 3, 0, 3, 3, 1, 0, 0, 0, 1, 4, 2, 0, 0, 2, 1, 4, 0, 0, 3, 2, 2, 3, 3, 0, 1, 1, 0, 1, 3, 2, 1, 2, 4, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 3, 1, 3, 4, 4, 1, 4, 4, 0, 4, 3, 2, 2, 0, 1, 4, 4, 2, 2, 4, 3, 3, 2, 1, 1, 4, 2, 0, 2, 4, 1, 4, 4, 4, 1, 4, 3, 4, 4, 2, 1, 0, 1, 4, 2, 3, 4, 0, 1, 1, 3, 2, 4, 0, 0, 0, 4, 3, 3, 3, 2, 2, 3, 0, 1, 2, 4, 1, 0, 4, 1, 3, 1, 1, 3, 1, 0, 3, 4, 4, 4, 1, 0, 2, 3, 3, 2, 3, 3, 1, 4, 2, 3, 4, 4, 3, 3, 0, 0, 3, 2, 4, 2, 4, 2, 3, 1, 3, 4, 2, 4, 3, 0, 1, 3, 0, 0, 3, 0, 1, 2, 0, 3, 3, 1, 2, 2, 1, 0, 4, 2, 2, 0, 4, 0, 4, 4, 1, 1, 0, 1, 1, 3, 1, 4, 2, 0, 2, 4, 3, 2, 4, 1, 0, 0, 3, 2, 0, 1, 1, 0, 1, 1, 4, 1, 1, 3, 4, 2, 1, 1, 4, 0, 3, 2, 1, 1, 1, 0, 1, 4, 4, 4, 4, 2, 2, 3, 2, 1, 1, 1, 1, 3, 4, 4, 4, 3, 3, 1, 1, 4, 2, 3, 3, 3, 3, 0, 1, 2, 1, 0, 0, 1, 4, 0, 0, 0, 4, 2]
pubkeycol1530 = [0, 3, 1, 2, 1, 3, 1, 1, 1, 0, 3, 3, 1, 3, 4, 2, 0, 4, 4, 1, 2, 1, 0, 1, 4, 2, 4, 3, 3, 3, 3, 0, 0, 4, 3, 4, 3, 4, 1, 3, 1, 2, 1, 4, 0, 4, 3, 2, 1, 3, 4, 1, 2, 1, 0, 0, 1, 4, 4, 1, 3, 0, 2, 2, 1, 0, 1, 2, 3, 3, 3, 3, 3, 0, 1, 0, 0, 1, 0, 3, 0, 3, 2, 1, 2, 0, 1, 0, 2, 2, 4, 2, 2, 0, 3, 3, 1, 4, 3, 4, 3, 1, 3, 0, 1, 4, 4, 2, 0, 4, 4, 3, 4, 2, 2, 1, 3, 4, 1, 4, 2, 0, 3, 2, 0, 2, 2, 0, 1, 1, 4, 2, 2, 3, 0, 3, 2, 0, 0, 1, 4, 0, 4, 1, 3, 1, 0, 1, 3, 2, 3, 0, 1, 2, 1, 0, 0, 3, 3, 2, 2, 3, 0, 4, 0, 4, 3, 1, 0, 4, 3, 4, 0, 4, 2, 2, 0, 0, 2, 0, 2, 2, 2, 4, 1, 1, 3, 1, 0, 3, 3, 4, 3, 3, 1, 2, 0, 1, 1, 1, 1, 4, 3, 0, 2, 4, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 4, 2, 1, 4, 2, 3, 0, 2, 3, 3, 4, 0, 1, 1, 3, 0, 2, 3, 1, 0, 4, 1, 4, 2, 0, 3, 2, 4, 2, 1, 4, 3, 4, 4, 0, 4, 4, 1, 2, 1, 0, 2, 3, 4, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 4, 4, 1, 3, 3, 2, 4, 1, 4, 1, 4, 4, 4, 1, 0, 4, 1, 4, 3, 2, 0, 1, 4, 0, 0, 1, 1, 1, 1, 2, 3, 3, 2, 2, 4, 0, 0, 1, 1, 4, 2, 0, 3, 2, 1, 3, 0, 1, 4, 4, 1, 3, 2, 1, 0, 0, 3, 4, 3, 2, 3, 4, 2, 3, 0, 1, 4, 2, 4, 2, 2, 2, 1, 3, 4, 1, 1, 3, 0, 0, 0, 2, 3, 0, 4, 2, 1, 0, 1, 2, 2, 3, 3, 3, 0, 4, 1, 2, 3, 4, 3, 0, 0, 4, 4, 3, 1, 2, 4, 3, 3, 4, 3, 2, 2, 3, 3, 0, 2, 1, 0, 2, 2, 3, 0, 2, 3, 3, 1, 1, 4, 1, 4, 2, 2, 3, 1, 4, 3, 4, 4, 3, 3, 0, 3, 3, 4, 0, 1, 3, 0, 3, 4, 2, 1, 1, 4, 1, 1, 2, 1, 2, 4, 4, 0, 2, 4, 2, 4, 1, 0, 0, 3, 1, 1, 0, 0, 1, 0, 0, 3, 2, 2, 3, 1, 4, 2, 2, 2, 1, 1, 1, 3, 4, 4, 0, 3, 2, 1, 2, 1, 4, 1, 1, 4, 1, 2, 2, 4, 3, 1, 4, 0, 1, 3, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 4, 0, 1, 3, 0, 4, 1, 2]
pubkeycol1531 = [0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 4, 3, 1, 2, 0, 3, 0, 1, 2, 1, 0, 3, 1, 2, 0, 4, 2, 1, 3, 2, 4, 3, 1, 4, 2, 4, 0, 3, 3, 1, 0, 0, 2, 3, 0, 4, 2, 4, 4, 1, 3, 4, 4, 4, 3, 0, 4, 1, 0, 0, 0, 4, 1, 2, 2, 3, 2, 4, 3, 3, 3, 0, 1, 1, 1, 3, 2, 2, 1, 4, 2, 1, 1, 4, 0, 3, 3, 3, 4, 3, 4, 4, 4, 2, 1, 4, 1, 4, 0, 1, 4, 4, 0, 1, 4, 2, 0, 4, 1, 1, 2, 2, 3, 1, 2, 3, 0, 1, 0, 4, 0, 0, 4, 3, 0, 2, 4, 3, 0, 1, 1, 1, 2, 0, 2, 3, 1, 0, 3, 1, 2, 2, 0, 2, 2, 2, 4, 1, 3, 0, 1, 4, 1, 3, 4, 3, 4, 2, 0, 0, 4, 2, 1, 1, 4, 4, 2, 1, 0, 3, 1, 2, 2, 1, 2, 1, 0, 2, 3, 2, 0, 3, 1, 4, 1, 2, 0, 3, 4, 4, 2, 1, 2, 1, 1, 1, 4, 2, 0, 3, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 4, 4, 1, 3, 4, 2, 0, 4, 0, 1, 1, 3, 1, 1, 1, 1, 2, 2, 0, 0, 4, 2, 4, 2, 0, 0, 3, 1, 3, 1, 0, 4, 2, 4, 4, 1, 1, 2, 3, 4, 4, 1, 0, 2, 0, 4, 1, 4, 0, 3, 2, 0, 1, 4, 1, 0, 0, 4, 4, 0, 1, 3, 4, 1, 3, 3, 4, 1, 3, 2, 2, 1, 1, 4, 1, 4, 4, 0, 4, 0, 3, 3, 0, 4, 4, 3, 4, 3, 1, 4, 2, 3, 0, 3, 1, 0, 1, 0, 4, 4, 3, 3, 2, 0, 0, 2, 0, 0, 4, 0, 1, 3, 1, 1, 3, 1, 2, 0, 1, 2, 3, 1, 2, 2, 3, 2, 2, 1, 0, 3, 1, 4, 3, 2, 2, 1, 1, 4, 0, 4, 2, 2, 4, 4, 2, 0, 4, 4, 3, 1, 4, 2, 3, 3, 1, 1, 2, 2, 2, 4, 3, 0, 1, 1, 1, 2, 3, 4, 3, 4, 2, 1, 4, 1, 3, 2, 2, 2, 4, 3, 4, 3, 4, 1, 0, 3, 1, 0, 1, 3, 1, 3, 0, 0, 3, 4, 2, 4, 4, 1, 0, 0, 2, 2, 3, 0, 2, 4, 2, 3, 1, 0, 3, 3, 2, 0, 2, 0, 2, 3, 2, 4, 0, 0, 0, 2, 3, 0, 3, 4, 4, 1, 3, 4, 4, 0, 3, 0, 1, 3, 3, 3, 4, 0, 0, 2, 0, 4, 1, 4, 3, 2, 2, 2, 0, 0, 3, 0, 4, 4, 2, 2, 1, 0, 4, 0, 2, 0, 3, 3, 2, 3, 2, 4, 4, 4, 2, 0, 2, 4, 2, 3, 4, 1, 4, 3, 0, 2, 1, 2, 2, 1, 4]
pubkeycol1532 = [4, 0, 1, 1, 3, 1, 0, 4, 3, 1, 0, 1, 1, 3, 3, 3, 1, 3, 4, 0, 0, 4, 0, 3, 1, 0, 1, 0, 3, 1, 3, 4, 0, 4, 3, 0, 1, 1, 1, 1, 1, 1, 4, 4, 0, 3, 0, 3, 4, 0, 0, 1, 4, 0, 2, 0, 0, 1, 2, 1, 4, 3, 4, 4, 1, 2, 1, 4, 4, 1, 1, 4, 3, 0, 1, 1, 1, 2, 3, 0, 1, 0, 2, 0, 2, 4, 3, 0, 4, 2, 0, 2, 1, 0, 4, 1, 4, 1, 1, 1, 0, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 0, 3, 1, 1, 1, 0, 1, 3, 3, 2, 1, 1, 0, 2, 3, 1, 4, 3, 0, 4, 0, 4, 4, 4, 0, 1, 0, 3, 3, 3, 2, 3, 1, 2, 3, 0, 1, 3, 4, 4, 0, 0, 4, 0, 0, 1, 4, 3, 1, 2, 1, 2, 2, 2, 2, 2, 0, 3, 2, 2, 0, 3, 0, 0, 3, 1, 1, 4, 0, 0, 0, 1, 1, 3, 0, 3, 0, 1, 2, 3, 1, 4, 1, 2, 3, 1, 0, 3, 0, 2, 3, 1, 2, 4, 3, 4, 0, 3, 3, 1, 1, 1, 3, 1, 2, 4, 0, 2, 3, 0, 1, 4, 1, 4, 1, 4, 1, 3, 3, 1, 4, 4, 3, 2, 4, 1, 0, 0, 0, 2, 1, 3, 3, 0, 4, 0, 2, 1, 3, 2, 0, 4, 1, 1, 3, 1, 3, 1, 3, 2, 0, 2, 0, 3, 1, 1, 0, 2, 1, 3, 0, 1, 3, 2, 0, 0, 3, 3, 2, 2, 2, 2, 1, 1, 2, 3, 2, 1, 1, 0, 4, 1, 2, 3, 1, 3, 2, 2, 4, 2, 3, 3, 4, 2, 4, 0, 0, 4, 1, 0, 0, 1, 2, 2, 3, 2, 4, 3, 0, 2, 0, 4, 2, 0, 1, 3, 2, 1, 2, 1, 1, 3, 3, 2, 2, 0, 2, 3, 4, 1, 0, 0, 2, 2, 2, 0, 3, 0, 2, 1, 3, 0, 0, 3, 4, 4, 2, 0, 0, 2, 2, 3, 1, 1, 3, 3, 0, 1, 2, 3, 3, 1, 3, 4, 0, 3, 4, 0, 2, 2, 1, 3, 2, 1, 4, 3, 0, 1, 0, 1, 3, 2, 3, 4, 3, 3, 2, 4, 2, 0, 3, 2, 0, 4, 0, 3, 3, 3, 3, 3, 2, 4, 1, 1, 1, 0, 2, 3, 2, 2, 0, 4, 4, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 4, 3, 2, 1, 1, 4, 4, 1, 0, 2, 4, 4, 2, 2, 2, 3, 1, 3, 3, 1, 1, 1, 0, 0, 1, 1, 4, 2, 4, 0, 4, 4, 1, 3, 0, 2, 0, 1, 0, 0, 1, 3, 0, 3, 0, 1, 3, 3, 3, 2, 2, 0, 2, 3, 0, 1, 3, 1, 0, 0, 2, 1, 0, 4, 0, 4, 2, 3, 4]
pubkeycol1533 = [2, 2, 1, 4, 3, 1, 2, 3, 4, 1, 3, 0, 4, 1, 2, 1, 4, 2, 4, 2, 1, 2, 2, 1, 3, 0, 3, 0, 2, 0, 0, 4, 4, 2, 4, 1, 2, 1, 4, 4, 1, 4, 0, 1, 3, 3, 3, 0, 0, 4, 4, 3, 3, 4, 3, 2, 3, 2, 3, 4, 2, 4, 1, 2, 4, 3, 4, 1, 0, 2, 0, 4, 0, 4, 3, 0, 3, 4, 1, 2, 4, 1, 0, 0, 3, 3, 1, 0, 0, 2, 3, 2, 4, 1, 0, 1, 3, 4, 4, 2, 2, 4, 2, 3, 1, 4, 3, 0, 3, 4, 3, 4, 3, 1, 1, 3, 1, 2, 1, 0, 4, 2, 0, 4, 0, 3, 4, 4, 4, 0, 0, 1, 2, 4, 0, 4, 0, 2, 3, 4, 4, 0, 0, 1, 4, 3, 1, 0, 2, 4, 1, 1, 1, 0, 0, 4, 0, 1, 1, 2, 1, 1, 0, 4, 1, 4, 2, 0, 2, 3, 4, 3, 4, 2, 4, 4, 4, 2, 0, 4, 4, 1, 4, 0, 0, 2, 3, 4, 1, 4, 3, 1, 3, 0, 0, 1, 1, 1, 1, 2, 2, 3, 1, 0, 4, 4, 4, 2, 0, 0, 3, 2, 4, 2, 1, 0, 4, 0, 1, 3, 0, 4, 4, 3, 2, 0, 2, 1, 0, 4, 2, 1, 1, 4, 2, 4, 4, 0, 2, 3, 2, 2, 4, 2, 3, 2, 3, 3, 0, 3, 4, 4, 1, 1, 4, 1, 0, 2, 4, 2, 1, 1, 4, 4, 1, 2, 2, 0, 3, 1, 3, 3, 4, 3, 3, 3, 1, 1, 3, 2, 0, 0, 4, 2, 3, 0, 1, 1, 0, 4, 4, 2, 4, 0, 3, 3, 2, 0, 0, 1, 1, 0, 0, 0, 3, 1, 3, 1, 1, 4, 3, 0, 2, 0, 0, 1, 1, 2, 3, 3, 3, 3, 1, 1, 2, 2, 0, 3, 4, 3, 3, 3, 1, 0, 1, 2, 0, 3, 2, 0, 3, 4, 0, 4, 4, 1, 4, 0, 0, 0, 0, 4, 3, 4, 4, 4, 3, 2, 0, 4, 3, 4, 0, 0, 2, 2, 0, 1, 0, 1, 3, 2, 0, 1, 4, 0, 0, 4, 4, 0, 1, 1, 3, 3, 1, 1, 1, 2, 3, 2, 3, 1, 2, 0, 3, 0, 3, 3, 2, 0, 2, 2, 3, 1, 4, 2, 1, 3, 0, 2, 1, 2, 1, 2, 4, 1, 1, 2, 4, 0, 4, 2, 3, 1, 4, 1, 1, 3, 3, 4, 1, 2, 3, 0, 4, 1, 0, 1, 3, 0, 0, 2, 0, 1, 3, 2, 1, 3, 1, 0, 4, 0, 1, 2, 0, 2, 2, 4, 2, 1, 3, 0, 4, 0, 4, 2, 0, 1, 3, 2, 2, 2, 4, 0, 3, 1, 1, 0, 2, 3, 1, 0, 2, 1, 1, 4, 3, 4, 2, 2, 4, 4, 3, 3, 1, 3, 4, 2, 2, 3, 3, 0, 3, 2, 2]
pubkeycol1534 = [4, 1, 2, 2, 3, 3, 4, 0, 4, 4, 3, 3, 0, 0, 2, 4, 3, 4, 1, 3, 2, 2, 1, 2, 0, 1, 3, 0, 3, 1, 3, 1, 4, 1, 0, 0, 1, 4, 0, 3, 0, 4, 4, 4, 1, 2, 0, 2, 4, 1, 1, 1, 2, 1, 1, 1, 0, 1, 4, 0, 2, 3, 2, 3, 0, 1, 4, 2, 4, 0, 0, 2, 1, 2, 4, 0, 4, 3, 1, 0, 4, 3, 3, 0, 0, 4, 0, 4, 0, 1, 1, 1, 4, 4, 3, 3, 2, 1, 3, 2, 4, 2, 4, 3, 4, 1, 3, 1, 3, 2, 0, 1, 1, 0, 1, 4, 1, 0, 2, 2, 3, 4, 2, 1, 2, 0, 2, 0, 0, 3, 0, 2, 0, 4, 2, 3, 0, 3, 4, 4, 4, 1, 3, 4, 4, 1, 2, 4, 2, 0, 4, 4, 1, 2, 3, 1, 2, 4, 1, 4, 2, 3, 3, 3, 0, 3, 0, 2, 1, 1, 2, 3, 1, 3, 0, 2, 1, 2, 1, 4, 3, 2, 0, 4, 0, 4, 3, 3, 4, 3, 2, 2, 1, 2, 2, 4, 2, 0, 3, 3, 2, 4, 2, 0, 1, 3, 4, 3, 2, 0, 0, 4, 2, 0, 2, 1, 0, 4, 4, 3, 4, 3, 4, 1, 3, 1, 0, 2, 1, 3, 1, 4, 3, 0, 1, 3, 1, 1, 1, 3, 0, 0, 3, 4, 1, 0, 0, 2, 0, 4, 2, 1, 2, 0, 1, 4, 0, 3, 4, 3, 2, 4, 1, 2, 1, 1, 4, 2, 0, 4, 4, 4, 1, 1, 1, 2, 1, 3, 4, 1, 1, 0, 0, 3, 4, 3, 3, 0, 4, 2, 1, 4, 1, 3, 2, 4, 3, 2, 2, 0, 1, 1, 1, 4, 4, 4, 2, 3, 3, 1, 3, 0, 2, 0, 4, 1, 0, 0, 3, 1, 2, 2, 4, 4, 2, 2, 3, 0, 4, 1, 1, 1, 2, 4, 3, 3, 3, 3, 1, 4, 0, 1, 0, 1, 1, 2, 0, 3, 4, 3, 4, 0, 4, 4, 0, 2, 1, 4, 0, 3, 4, 3, 1, 1, 1, 1, 3, 4, 1, 1, 4, 4, 4, 1, 2, 2, 4, 1, 1, 1, 2, 2, 1, 4, 4, 4, 0, 0, 4, 3, 1, 1, 0, 2, 1, 0, 1, 3, 1, 1, 1, 1, 4, 4, 1, 4, 4, 3, 3, 0, 1, 3, 0, 3, 3, 1, 2, 3, 0, 4, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 3, 3, 3, 1, 4, 0, 4, 3, 2, 4, 0, 2, 4, 0, 2, 4, 1, 3, 0, 3, 0, 0, 4, 2, 0, 3, 4, 4, 4, 3, 4, 3, 4, 1, 2, 3, 0, 4, 0, 1, 3, 1, 1, 1, 2, 3, 0, 4, 3, 2, 1, 1, 2, 0, 3, 4, 1, 1, 4, 4, 0, 4, 0, 2, 3, 2]
pubkeycol1535 = [3, 4, 3, 0, 3, 3, 0, 2, 1, 2, 4, 0, 2, 3, 3, 1, 4, 2, 0, 1, 2, 2, 2, 0, 1, 4, 0, 0, 2, 3, 4, 1, 2, 2, 2, 1, 3, 1, 4, 0, 1, 4, 1, 1, 4, 0, 4, 2, 1, 4, 3, 2, 3, 0, 3, 0, 4, 4, 2, 3, 4, 3, 3, 4, 1, 3, 4, 4, 0, 3, 1, 2, 3, 4, 4, 4, 0, 4, 1, 0, 4, 0, 3, 3, 2, 1, 4, 0, 0, 4, 3, 3, 3, 1, 4, 4, 0, 0, 0, 4, 2, 4, 0, 3, 4, 2, 1, 4, 2, 4, 2, 0, 4, 2, 0, 1, 0, 4, 3, 0, 3, 2, 0, 2, 0, 0, 2, 1, 3, 0, 4, 1, 4, 0, 1, 0, 0, 1, 3, 3, 2, 2, 4, 2, 3, 3, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 3, 3, 1, 2, 3, 1, 3, 2, 0, 3, 4, 1, 3, 1, 1, 3, 0, 1, 1, 4, 1, 2, 0, 0, 4, 1, 1, 2, 3, 4, 0, 1, 1, 0, 4, 0, 4, 0, 4, 4, 3, 3, 0, 4, 3, 4, 2, 2, 1, 1, 1, 0, 1, 2, 4, 4, 4, 4, 3, 1, 0, 2, 2, 1, 4, 2, 2, 2, 2, 1, 3, 3, 1, 3, 1, 2, 2, 3, 4, 4, 1, 1, 4, 1, 1, 0, 1, 3, 1, 2, 1, 2, 1, 1, 0, 1, 4, 1, 3, 4, 2, 3, 0, 1, 1, 4, 3, 0, 4, 4, 1, 4, 3, 4, 2, 4, 4, 0, 0, 0, 1, 2, 1, 3, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 4, 0, 3, 1, 4, 2, 3, 1, 3, 0, 0, 4, 0, 4, 3, 4, 3, 3, 2, 3, 2, 0, 3, 4, 0, 4, 4, 0, 2, 2, 2, 0, 0, 3, 2, 4, 1, 4, 4, 2, 3, 0, 0, 3, 2, 0, 0, 1, 2, 2, 2, 2, 1, 4, 3, 2, 0, 0, 1, 0, 0, 4, 1, 0, 1, 4, 2, 0, 3, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 4, 1, 1, 0, 3, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 3, 1, 1, 2, 1, 3, 4, 4, 1, 2, 2, 2, 0, 3, 4, 0, 3, 4, 1, 0, 0, 3, 3, 3, 0, 4, 2, 2, 0, 2, 2, 2, 4, 0, 4, 1, 1, 0, 0, 1, 0, 4, 2, 4, 1, 1, 4, 2, 0, 3, 2, 1, 0, 3, 3, 3, 0, 0, 2, 1, 1, 4, 1, 4, 3, 0, 2, 1, 0, 2, 4, 3, 2, 4, 3, 3, 0, 3, 2, 0, 4, 1, 4, 3, 1, 1, 4, 3, 0, 3, 0, 0, 0, 3, 2, 1, 0, 0, 2, 2, 0, 4, 1, 2, 0, 2, 4, 0, 1, 2]
pubkeycol1536 = [1, 2, 0, 0, 1, 1, 3, 3, 3, 2, 0, 0, 3, 0, 0, 1, 4, 1, 3, 4, 2, 1, 0, 4, 4, 0, 3, 4, 1, 0, 1, 3, 0, 3, 4, 4, 0, 1, 3, 0, 1, 4, 3, 2, 1, 2, 2, 2, 3, 0, 2, 1, 4, 0, 1, 1, 4, 4, 4, 1, 3, 2, 3, 0, 1, 1, 0, 4, 4, 0, 1, 1, 1, 3, 0, 3, 4, 3, 4, 3, 0, 2, 1, 3, 0, 2, 4, 2, 0, 2, 2, 3, 0, 3, 0, 3, 3, 3, 4, 2, 1, 4, 0, 4, 4, 0, 2, 4, 3, 2, 4, 0, 3, 1, 1, 2, 3, 3, 2, 3, 2, 0, 0, 0, 4, 0, 0, 0, 2, 1, 4, 3, 1, 0, 1, 4, 4, 0, 4, 4, 2, 0, 2, 4, 3, 0, 0, 4, 4, 1, 3, 0, 3, 0, 0, 3, 2, 0, 4, 4, 3, 3, 3, 3, 1, 4, 3, 4, 0, 1, 4, 1, 1, 2, 0, 0, 0, 0, 3, 4, 2, 1, 4, 0, 3, 2, 1, 0, 4, 0, 4, 1, 1, 4, 0, 0, 2, 1, 0, 1, 1, 4, 1, 3, 2, 2, 1, 3, 3, 0, 1, 2, 0, 1, 3, 1, 3, 1, 2, 1, 3, 4, 2, 2, 4, 1, 4, 4, 4, 3, 1, 0, 3, 3, 0, 1, 1, 4, 1, 4, 3, 4, 1, 0, 4, 4, 1, 0, 4, 0, 3, 3, 2, 2, 4, 1, 3, 4, 3, 2, 3, 0, 2, 2, 1, 3, 0, 1, 3, 0, 3, 4, 1, 3, 4, 4, 3, 1, 3, 0, 0, 4, 1, 3, 0, 0, 4, 3, 4, 4, 0, 2, 3, 4, 2, 4, 0, 1, 1, 1, 3, 0, 3, 3, 1, 1, 3, 1, 2, 0, 2, 4, 3, 1, 3, 4, 4, 3, 1, 4, 1, 4, 4, 4, 4, 4, 3, 4, 1, 0, 4, 3, 2, 1, 4, 2, 2, 3, 2, 1, 4, 4, 2, 3, 1, 3, 2, 4, 0, 0, 3, 0, 1, 0, 3, 2, 0, 3, 3, 1, 2, 4, 0, 0, 4, 4, 1, 1, 2, 3, 2, 0, 4, 3, 0, 4, 3, 3, 0, 2, 0, 4, 0, 1, 3, 3, 4, 1, 3, 2, 2, 4, 0, 0, 1, 4, 1, 1, 0, 1, 3, 0, 3, 1, 3, 1, 1, 3, 0, 4, 1, 3, 1, 2, 2, 1, 0, 0, 1, 2, 3, 1, 3, 2, 4, 4, 2, 2, 4, 0, 0, 4, 3, 0, 2, 2, 2, 2, 1, 1, 2, 4, 1, 4, 2, 1, 2, 4, 3, 3, 2, 4, 1, 1, 3, 2, 0, 3, 1, 3, 1, 3, 4, 2, 4, 3, 4, 3, 2, 1, 4, 2, 3, 4, 0, 2, 2, 0, 2, 2, 4, 1, 3, 1, 0, 2, 4, 1, 3, 2, 3, 4, 4, 2, 0, 4, 1, 2, 2, 3, 2, 2, 3, 2, 3]
pubkeycol1537 = [0, 4, 3, 4, 1, 2, 4, 2, 0, 4, 0, 1, 4, 4, 0, 4, 3, 0, 3, 1, 0, 4, 4, 1, 0, 2, 4, 3, 1, 3, 2, 1, 4, 2, 4, 2, 3, 0, 4, 3, 4, 0, 4, 2, 4, 4, 1, 3, 4, 3, 2, 2, 1, 2, 4, 3, 3, 3, 2, 2, 0, 3, 1, 4, 2, 2, 0, 1, 0, 3, 1, 1, 2, 2, 1, 0, 3, 2, 2, 3, 3, 0, 0, 2, 4, 4, 1, 1, 1, 4, 3, 2, 2, 3, 0, 2, 0, 2, 0, 2, 4, 2, 3, 4, 1, 1, 0, 0, 3, 4, 3, 4, 2, 2, 4, 2, 3, 3, 4, 2, 1, 2, 4, 1, 1, 0, 1, 1, 4, 0, 0, 0, 1, 3, 0, 0, 1, 3, 2, 1, 4, 4, 4, 2, 2, 3, 3, 0, 4, 0, 1, 0, 0, 4, 1, 0, 1, 1, 0, 2, 1, 0, 4, 1, 2, 2, 4, 2, 3, 4, 4, 3, 2, 0, 3, 4, 3, 1, 0, 2, 4, 0, 2, 1, 3, 2, 1, 2, 1, 3, 4, 4, 4, 2, 0, 0, 3, 4, 4, 3, 0, 1, 1, 0, 3, 4, 4, 0, 2, 3, 3, 4, 2, 3, 4, 4, 2, 3, 0, 3, 2, 4, 3, 2, 0, 4, 4, 1, 2, 2, 3, 1, 4, 4, 3, 3, 0, 2, 3, 4, 4, 1, 4, 3, 1, 3, 1, 4, 4, 4, 0, 4, 4, 1, 0, 1, 3, 4, 0, 2, 0, 1, 1, 3, 2, 0, 3, 3, 3, 3, 1, 1, 2, 1, 2, 3, 4, 2, 4, 2, 0, 3, 2, 0, 2, 1, 4, 3, 1, 4, 2, 3, 4, 4, 4, 0, 2, 2, 1, 4, 1, 3, 3, 4, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 3, 3, 1, 2, 0, 2, 0, 2, 2, 4, 1, 0, 1, 4, 3, 3, 3, 3, 4, 2, 2, 2, 4, 4, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, 1, 0, 3, 4, 1, 3, 3, 4, 3, 2, 2, 2, 2, 3, 1, 4, 2, 4, 1, 0, 0, 3, 4, 3, 3, 0, 0, 2, 4, 2, 3, 0, 4, 1, 3, 1, 0, 4, 0, 3, 4, 4, 3, 0, 0, 1, 3, 4, 4, 1, 3, 0, 3, 2, 3, 2, 3, 0, 1, 2, 4, 2, 4, 1, 4, 4, 2, 0, 0, 4, 4, 1, 3, 3, 1, 4, 1, 4, 4, 2, 0, 1, 4, 2, 4, 1, 3, 3, 4, 4, 2, 4, 0, 1, 4, 0, 1, 3, 4, 1, 4, 3, 0, 2, 4, 4, 0, 3, 0, 0, 3, 0, 2, 1, 4, 0, 1, 2, 0, 2, 0, 0, 3, 1, 3, 2, 4, 4, 1, 0, 4, 3, 3, 1, 4, 0, 0, 2, 4, 4, 2, 4, 3, 4, 4, 2, 4, 3, 2, 3, 2, 4, 3, 0, 4, 1]
pubkeycol1538 = [0, 0, 1, 4, 4, 0, 1, 3, 0, 4, 1, 4, 4, 0, 2, 2, 3, 4, 1, 3, 3, 3, 0, 4, 4, 0, 2, 2, 4, 1, 2, 2, 3, 1, 4, 0, 2, 4, 1, 1, 1, 1, 1, 3, 4, 3, 0, 0, 4, 3, 0, 0, 4, 0, 2, 2, 0, 4, 3, 0, 3, 2, 2, 4, 2, 1, 0, 1, 3, 4, 1, 3, 2, 3, 4, 3, 4, 3, 2, 1, 2, 3, 3, 3, 2, 1, 2, 1, 2, 4, 0, 2, 2, 3, 0, 1, 2, 1, 2, 2, 2, 1, 1, 4, 2, 2, 4, 1, 2, 2, 0, 3, 0, 0, 2, 3, 2, 1, 1, 0, 4, 2, 4, 0, 2, 3, 0, 3, 1, 0, 2, 1, 3, 3, 2, 0, 4, 1, 4, 4, 3, 3, 4, 3, 1, 4, 1, 0, 0, 4, 3, 2, 4, 4, 4, 3, 0, 2, 3, 4, 1, 2, 2, 1, 4, 4, 2, 3, 0, 0, 3, 3, 0, 2, 3, 4, 4, 2, 4, 2, 0, 4, 2, 1, 3, 1, 1, 4, 1, 3, 1, 3, 1, 0, 1, 2, 1, 4, 0, 0, 3, 4, 2, 1, 3, 3, 0, 0, 1, 4, 3, 2, 4, 3, 0, 2, 4, 2, 2, 2, 3, 2, 2, 2, 1, 1, 1, 3, 0, 1, 4, 2, 2, 2, 4, 2, 4, 3, 4, 3, 0, 0, 3, 0, 2, 0, 0, 2, 1, 1, 3, 1, 2, 1, 3, 1, 1, 1, 4, 0, 0, 3, 4, 0, 2, 3, 0, 0, 0, 2, 1, 0, 0, 2, 4, 4, 2, 2, 4, 1, 2, 0, 3, 1, 1, 1, 1, 3, 1, 0, 3, 4, 4, 2, 3, 4, 3, 1, 1, 2, 0, 0, 4, 3, 3, 3, 3, 0, 0, 2, 0, 0, 2, 4, 2, 0, 0, 4, 2, 3, 0, 2, 3, 0, 1, 0, 4, 2, 0, 2, 3, 0, 0, 0, 4, 3, 3, 4, 3, 3, 0, 0, 1, 0, 0, 2, 2, 0, 1, 4, 2, 2, 2, 4, 3, 2, 2, 4, 4, 1, 1, 1, 3, 1, 4, 0, 3, 1, 3, 4, 2, 4, 1, 4, 1, 2, 0, 3, 4, 0, 1, 0, 3, 0, 4, 3, 1, 4, 0, 1, 0, 3, 3, 1, 2, 4, 2, 4, 3, 0, 2, 4, 4, 3, 1, 4, 3, 1, 2, 4, 3, 3, 2, 1, 4, 4, 2, 2, 1, 2, 1, 4, 3, 0, 3, 3, 2, 1, 1, 2, 2, 3, 3, 1, 1, 1, 1, 3, 1, 1, 0, 4, 3, 3, 1, 0, 0, 2, 0, 4, 3, 0, 0, 4, 1, 3, 3, 4, 0, 2, 0, 3, 3, 4, 3, 3, 0, 3, 1, 3, 3, 3, 3, 3, 0, 0, 3, 2, 0, 2, 1, 3, 4, 4, 4, 1, 2, 2, 3, 3, 0, 2, 3, 0, 4, 0, 3, 2, 4, 0, 4, 0, 0, 4, 3]
pubkeycol1539 = [0, 3, 3, 3, 0, 0, 0, 4, 3, 2, 3, 2, 3, 3, 1, 1, 3, 1, 1, 3, 3, 4, 0, 4, 2, 2, 3, 0, 2, 0, 0, 1, 4, 4, 0, 0, 3, 1, 1, 4, 4, 3, 3, 3, 4, 4, 1, 0, 4, 4, 1, 0, 2, 4, 1, 0, 1, 4, 0, 1, 4, 1, 4, 4, 4, 3, 2, 0, 1, 3, 2, 3, 0, 2, 4, 4, 0, 0, 3, 3, 1, 4, 4, 2, 2, 3, 0, 4, 3, 1, 0, 0, 4, 0, 0, 3, 2, 2, 0, 0, 3, 0, 1, 3, 3, 2, 0, 2, 3, 3, 3, 3, 1, 2, 0, 2, 3, 0, 1, 0, 1, 3, 0, 1, 4, 1, 0, 3, 3, 1, 3, 2, 4, 1, 2, 0, 1, 0, 2, 0, 4, 4, 3, 4, 1, 4, 0, 4, 4, 2, 0, 1, 1, 1, 3, 0, 4, 2, 1, 3, 1, 3, 3, 2, 3, 2, 3, 2, 4, 0, 0, 0, 4, 0, 4, 2, 4, 2, 1, 1, 1, 4, 3, 0, 0, 4, 4, 1, 0, 3, 3, 4, 0, 0, 3, 4, 2, 2, 2, 1, 4, 3, 3, 2, 4, 4, 0, 4, 2, 3, 1, 2, 1, 4, 3, 1, 2, 1, 0, 1, 1, 4, 2, 3, 3, 2, 2, 1, 4, 0, 1, 0, 0, 4, 3, 1, 0, 4, 2, 4, 0, 2, 0, 2, 2, 2, 4, 1, 4, 3, 0, 2, 3, 3, 3, 2, 0, 3, 0, 1, 1, 2, 3, 3, 2, 3, 3, 4, 2, 4, 2, 1, 3, 2, 3, 4, 0, 2, 1, 4, 4, 0, 3, 4, 2, 2, 0, 2, 4, 4, 1, 3, 2, 1, 1, 1, 0, 1, 3, 1, 1, 4, 2, 1, 3, 0, 1, 2, 2, 4, 4, 4, 1, 0, 3, 1, 2, 1, 1, 1, 0, 3, 2, 1, 0, 2, 3, 4, 1, 2, 2, 1, 0, 0, 3, 4, 2, 4, 1, 1, 0, 4, 1, 1, 3, 3, 2, 0, 2, 1, 4, 3, 0, 3, 0, 4, 4, 0, 3, 4, 3, 4, 0, 3, 3, 3, 3, 1, 3, 3, 3, 2, 2, 2, 3, 1, 2, 2, 2, 3, 1, 1, 3, 4, 3, 4, 1, 3, 4, 1, 0, 1, 4, 3, 2, 4, 3, 4, 0, 4, 4, 4, 4, 0, 4, 1, 2, 3, 3, 4, 0, 0, 3, 2, 4, 0, 3, 4, 0, 3, 4, 4, 2, 3, 3, 1, 4, 2, 3, 0, 2, 3, 2, 0, 3, 0, 4, 0, 2, 0, 2, 1, 2, 3, 0, 4, 4, 2, 4, 2, 0, 3, 4, 4, 4, 0, 4, 0, 0, 1, 2, 4, 2, 3, 1, 4, 2, 0, 1, 2, 1, 3, 2, 1, 1, 4, 1, 3, 3, 3, 1, 3, 2, 4, 2, 1, 4, 1, 0, 2, 0, 4, 1, 4, 4, 2, 4, 3, 3, 3, 4, 2, 3, 4, 1]
pubkeycol1540 = [0, 4, 1, 0, 4, 3, 0, 3, 1, 4, 0, 1, 4, 1, 0, 2, 1, 4, 2, 4, 1, 0, 0, 3, 1, 2, 3, 3, 4, 0, 3, 4, 3, 3, 3, 1, 0, 2, 2, 3, 0, 3, 1, 0, 1, 1, 4, 2, 0, 0, 2, 0, 4, 2, 2, 2, 3, 1, 4, 2, 3, 3, 1, 0, 1, 4, 1, 3, 3, 4, 1, 2, 0, 4, 0, 2, 4, 4, 1, 1, 3, 4, 4, 0, 3, 0, 1, 1, 0, 3, 4, 3, 3, 1, 1, 3, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 3, 2, 2, 4, 2, 0, 0, 1, 4, 4, 0, 2, 0, 4, 4, 4, 3, 2, 3, 0, 2, 3, 0, 2, 3, 1, 1, 4, 2, 2, 1, 2, 1, 0, 0, 3, 0, 0, 1, 3, 3, 2, 2, 4, 2, 1, 0, 1, 3, 3, 2, 1, 1, 1, 0, 0, 1, 0, 0, 3, 4, 0, 3, 4, 3, 2, 2, 3, 1, 1, 2, 1, 3, 0, 2, 4, 0, 0, 1, 2, 1, 2, 1, 2, 2, 3, 2, 4, 2, 0, 1, 0, 0, 2, 4, 0, 2, 1, 2, 0, 4, 3, 3, 3, 0, 1, 4, 1, 2, 3, 3, 0, 1, 2, 3, 0, 1, 3, 2, 0, 0, 3, 3, 2, 0, 2, 1, 4, 4, 0, 1, 3, 1, 1, 1, 1, 4, 4, 4, 0, 4, 1, 1, 0, 4, 0, 1, 3, 2, 1, 3, 4, 1, 3, 0, 3, 0, 3, 0, 1, 3, 4, 1, 1, 4, 3, 0, 0, 1, 4, 2, 4, 2, 4, 3, 2, 4, 3, 4, 1, 3, 3, 3, 3, 1, 0, 0, 0, 0, 4, 2, 1, 2, 3, 3, 0, 2, 2, 1, 1, 1, 2, 0, 1, 4, 3, 3, 4, 2, 0, 0, 2, 0, 0, 0, 3, 0, 2, 3, 3, 4, 2, 2, 0, 4, 3, 1, 2, 0, 4, 4, 3, 4, 4, 1, 2, 2, 3, 3, 1, 3, 3, 2, 4, 1, 0, 4, 1, 2, 0, 1, 1, 2, 3, 2, 0, 0, 1, 1, 4, 4, 0, 0, 2, 4, 0, 4, 4, 1, 0, 1, 1, 4, 0, 1, 0, 1, 3, 3, 2, 3, 4, 0, 4, 0, 1, 4, 2, 3, 1, 2, 4, 3, 4, 3, 1, 0, 0, 0, 3, 0, 3, 4, 3, 4, 4, 2, 4, 4, 2, 2, 1, 3, 1, 4, 3, 0, 2, 4, 3, 0, 1, 4, 3, 1, 1, 3, 0, 0, 2, 0, 4, 3, 2, 1, 1, 2, 1, 1, 4, 1, 2, 2, 0, 4, 1, 0, 3, 1, 3, 2, 1, 2, 0, 4, 1, 2, 1, 2, 1, 1, 1, 2, 3, 4, 1, 1, 4, 4, 1, 0, 3, 0, 2, 1, 4, 1, 1, 3, 1, 0, 3, 1, 3, 1, 2, 2, 3, 1, 0, 3, 4, 1, 4, 4, 2, 0, 3, 0]
pubkeycol1541 = [3, 4, 2, 0, 4, 2, 1, 0, 2, 4, 3, 3, 2, 4, 1, 4, 2, 1, 0, 2, 2, 1, 0, 3, 1, 0, 0, 1, 2, 3, 4, 2, 3, 1, 0, 3, 1, 1, 1, 0, 1, 1, 0, 0, 3, 2, 2, 3, 2, 0, 3, 1, 4, 0, 4, 0, 0, 4, 1, 1, 4, 4, 0, 1, 1, 0, 1, 1, 1, 3, 1, 4, 1, 2, 1, 1, 1, 3, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 3, 3, 3, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 4, 3, 0, 4, 4, 4, 3, 0, 3, 4, 2, 1, 1, 4, 2, 0, 0, 3, 3, 3, 3, 0, 3, 0, 1, 1, 1, 3, 0, 0, 1, 1, 2, 2, 0, 2, 3, 2, 4, 2, 3, 3, 3, 1, 0, 4, 0, 2, 0, 3, 2, 2, 1, 1, 4, 3, 1, 1, 4, 0, 1, 4, 1, 4, 0, 4, 3, 4, 0, 0, 2, 4, 3, 3, 0, 3, 0, 1, 0, 3, 4, 1, 2, 3, 1, 0, 1, 3, 1, 1, 0, 4, 4, 3, 1, 4, 0, 3, 2, 3, 1, 2, 3, 1, 4, 4, 0, 4, 2, 0, 1, 0, 1, 3, 1, 0, 1, 0, 3, 4, 0, 1, 1, 3, 4, 1, 4, 2, 2, 1, 4, 3, 1, 0, 1, 4, 0, 3, 4, 3, 0, 0, 2, 3, 0, 4, 1, 1, 1, 4, 1, 3, 3, 0, 1, 0, 1, 4, 0, 4, 3, 4, 0, 3, 3, 3, 0, 4, 3, 4, 0, 2, 1, 4, 3, 4, 2, 2, 1, 1, 1, 3, 3, 4, 3, 1, 0, 0, 4, 1, 4, 2, 4, 2, 0, 3, 1, 1, 3, 0, 4, 2, 3, 2, 4, 4, 3, 1, 2, 4, 0, 4, 2, 2, 4, 2, 3, 4, 2, 3, 2, 4, 0, 3, 0, 3, 2, 2, 3, 0, 0, 4, 4, 1, 2, 3, 0, 1, 0, 2, 3, 1, 3, 3, 1, 0, 1, 4, 0, 1, 0, 0, 4, 4, 1, 3, 4, 0, 4, 3, 4, 4, 4, 3, 2, 3, 3, 4, 4, 2, 4, 3, 1, 2, 2, 4, 1, 4, 1, 0, 0, 3, 2, 0, 4, 0, 2, 4, 0, 2, 0, 2, 3, 0, 2, 0, 3, 1, 4, 4, 0, 2, 0, 1, 0, 1, 3, 0, 2, 3, 1, 4, 2, 3, 1, 2, 4, 0, 0, 4, 0, 3, 1, 3, 3, 3, 2, 0, 3, 1, 3, 3, 3, 3, 0, 0, 2, 1, 3, 4, 2, 2, 4, 3, 4, 1, 2, 4, 3, 2, 1, 4, 0, 2, 1, 2, 4, 4, 4, 2, 1, 2, 3, 2, 3, 2, 0, 0, 1, 1, 2, 1, 4, 4, 2, 2, 1, 3, 1, 2, 1, 4, 3, 3, 1, 2, 4, 3, 4, 0, 1, 2, 2, 1, 1, 0, 1, 2, 4, 0, 3, 0]
pubkeycol1542 = [2, 4, 1, 2, 0, 2, 1, 1, 2, 4, 1, 2, 2, 0, 4, 0, 1, 4, 3, 0, 2, 0, 0, 2, 1, 3, 1, 3, 1, 3, 4, 4, 0, 1, 4, 4, 3, 3, 1, 4, 4, 1, 1, 1, 1, 3, 4, 3, 3, 2, 1, 0, 4, 0, 1, 2, 2, 1, 1, 0, 3, 4, 1, 3, 3, 3, 3, 3, 0, 1, 3, 4, 1, 0, 3, 1, 3, 3, 2, 0, 1, 3, 1, 1, 1, 4, 1, 2, 3, 1, 0, 2, 3, 2, 1, 2, 3, 4, 4, 2, 3, 0, 1, 0, 2, 2, 1, 1, 2, 4, 3, 3, 0, 3, 4, 1, 0, 4, 3, 1, 4, 4, 2, 1, 0, 1, 3, 1, 0, 4, 0, 3, 2, 1, 4, 0, 4, 0, 0, 3, 1, 4, 4, 0, 3, 4, 3, 0, 3, 0, 4, 2, 2, 1, 2, 3, 3, 3, 4, 0, 1, 4, 4, 0, 0, 2, 3, 3, 4, 3, 1, 4, 1, 2, 3, 1, 1, 3, 4, 1, 2, 4, 1, 2, 0, 4, 2, 0, 1, 3, 0, 4, 0, 2, 1, 4, 4, 1, 2, 0, 1, 2, 3, 1, 0, 3, 3, 4, 0, 3, 2, 2, 3, 3, 1, 4, 4, 1, 1, 0, 2, 0, 3, 1, 3, 1, 4, 3, 4, 3, 4, 0, 2, 4, 4, 1, 4, 3, 1, 1, 2, 3, 3, 1, 0, 0, 2, 1, 3, 2, 2, 1, 1, 4, 2, 1, 4, 1, 0, 1, 4, 0, 1, 2, 3, 0, 0, 3, 4, 2, 1, 4, 4, 1, 3, 0, 1, 2, 3, 2, 1, 4, 3, 0, 3, 0, 4, 3, 3, 3, 3, 1, 1, 2, 2, 0, 4, 0, 4, 3, 1, 1, 0, 1, 1, 4, 4, 1, 0, 3, 3, 2, 4, 1, 2, 3, 2, 1, 4, 3, 4, 4, 2, 1, 0, 2, 3, 2, 1, 0, 1, 0, 1, 2, 0, 2, 3, 0, 3, 0, 4, 4, 1, 1, 3, 2, 1, 0, 0, 4, 0, 0, 1, 0, 4, 4, 3, 0, 3, 4, 3, 4, 3, 1, 2, 1, 2, 3, 3, 2, 0, 3, 2, 1, 3, 1, 3, 3, 1, 4, 4, 1, 4, 4, 2, 1, 1, 4, 3, 1, 3, 2, 3, 1, 3, 3, 4, 4, 3, 3, 4, 2, 4, 4, 0, 3, 2, 2, 3, 4, 3, 1, 1, 3, 3, 4, 0, 2, 1, 1, 0, 0, 3, 3, 3, 0, 3, 2, 1, 0, 2, 1, 0, 4, 3, 1, 4, 4, 4, 2, 2, 0, 2, 2, 1, 4, 2, 0, 0, 3, 1, 1, 2, 1, 3, 4, 1, 4, 4, 3, 4, 3, 3, 2, 3, 1, 1, 4, 0, 2, 4, 0, 2, 0, 3, 0, 3, 2, 2, 0, 1, 4, 4, 1, 0, 2, 2, 0, 3, 2, 3, 2, 0, 1, 3, 0, 1, 1, 2, 1, 0, 3, 0, 0, 0]
pubkeycol1543 = [1, 3, 1, 3, 3, 1, 0, 3, 1, 4, 2, 1, 2, 4, 4, 3, 0, 4, 1, 1, 0, 4, 4, 2, 0, 4, 2, 1, 3, 3, 3, 3, 4, 3, 1, 1, 3, 1, 4, 1, 4, 1, 4, 1, 3, 0, 4, 4, 4, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 4, 0, 2, 4, 4, 4, 4, 0, 0, 4, 1, 0, 3, 2, 3, 0, 0, 3, 1, 2, 3, 4, 4, 0, 0, 1, 4, 4, 1, 0, 1, 2, 4, 3, 4, 1, 0, 4, 2, 3, 2, 3, 0, 3, 3, 1, 4, 1, 4, 0, 1, 0, 3, 1, 3, 4, 2, 1, 0, 1, 2, 4, 1, 4, 0, 4, 2, 1, 2, 1, 1, 4, 1, 0, 1, 0, 1, 2, 3, 1, 4, 3, 2, 4, 0, 2, 1, 4, 2, 1, 3, 2, 0, 2, 0, 2, 4, 3, 1, 3, 0, 3, 2, 2, 3, 0, 2, 2, 3, 4, 1, 3, 1, 0, 4, 1, 2, 2, 3, 2, 4, 3, 1, 4, 4, 1, 2, 1, 1, 4, 4, 0, 1, 0, 3, 0, 1, 1, 3, 1, 1, 0, 1, 1, 1, 0, 1, 4, 1, 3, 2, 4, 0, 3, 0, 2, 4, 4, 1, 2, 4, 2, 1, 2, 1, 2, 0, 1, 4, 2, 0, 3, 1, 4, 0, 1, 1, 1, 2, 0, 2, 3, 1, 1, 1, 4, 4, 0, 3, 2, 2, 2, 3, 0, 4, 2, 1, 4, 4, 0, 2, 2, 2, 0, 0, 0, 1, 4, 0, 1, 0, 3, 2, 2, 2, 2, 4, 3, 1, 4, 1, 4, 1, 1, 0, 1, 3, 3, 1, 2, 2, 0, 0, 2, 3, 1, 1, 3, 4, 0, 1, 1, 3, 2, 0, 3, 4, 2, 2, 1, 3, 1, 0, 0, 3, 0, 0, 2, 0, 1, 0, 3, 2, 4, 2, 1, 1, 2, 1, 2, 3, 3, 2, 0, 1, 4, 1, 2, 0, 2, 1, 4, 2, 0, 0, 1, 0, 3, 4, 0, 0, 0, 3, 1, 4, 3, 4, 0, 2, 3, 3, 1, 0, 0, 4, 0, 3, 2, 1, 3, 1, 0, 0, 1, 3, 3, 0, 1, 3, 0, 0, 2, 2, 3, 0, 3, 4, 0, 0, 3, 1, 0, 4, 2, 1, 2, 0, 1, 2, 3, 3, 2, 1, 4, 3, 4, 1, 1, 3, 3, 1, 3, 0, 3, 3, 2, 0, 3, 1, 1, 1, 4, 0, 1, 3, 0, 4, 4, 3, 2, 0, 4, 2, 2, 4, 4, 2, 2, 1, 0, 2, 2, 3, 2, 3, 0, 2, 2, 3, 0, 1, 3, 1, 3, 2, 3, 1, 0, 3, 1, 2, 4, 0, 0, 2, 0, 3, 0, 1, 2, 4, 4, 0, 3, 2, 2, 3, 4, 3, 0, 4, 1, 0, 3, 2, 4, 3, 1, 1, 2, 2, 4, 0, 2, 4, 0, 1, 2, 0, 2, 1, 2, 1, 3, 3, 3]
pubkeycol1544 = [4, 0, 1, 1, 4, 4, 4, 1, 2, 2, 0, 2, 1, 3, 1, 1, 3, 4, 2, 4, 0, 0, 1, 0, 4, 4, 2, 4, 1, 0, 2, 4, 3, 0, 4, 0, 2, 1, 0, 4, 3, 1, 4, 4, 2, 2, 1, 3, 3, 3, 3, 3, 2, 3, 4, 3, 4, 4, 1, 0, 4, 4, 0, 0, 3, 3, 4, 0, 0, 1, 1, 4, 3, 4, 3, 4, 0, 0, 0, 3, 3, 2, 2, 4, 1, 4, 0, 1, 0, 1, 1, 4, 0, 0, 2, 1, 4, 2, 0, 2, 3, 3, 2, 4, 0, 4, 4, 4, 4, 2, 2, 0, 4, 1, 4, 3, 0, 0, 4, 4, 0, 2, 0, 4, 1, 0, 2, 0, 4, 2, 3, 3, 2, 4, 2, 2, 0, 3, 2, 1, 2, 2, 4, 3, 0, 1, 3, 3, 3, 2, 1, 2, 0, 2, 0, 2, 2, 4, 2, 1, 1, 3, 1, 3, 0, 0, 4, 4, 3, 2, 1, 1, 3, 3, 4, 4, 4, 0, 2, 2, 1, 3, 1, 0, 3, 3, 0, 0, 3, 4, 4, 3, 0, 4, 3, 0, 3, 4, 0, 0, 0, 4, 0, 2, 0, 4, 0, 0, 1, 4, 1, 0, 2, 4, 1, 3, 1, 3, 0, 0, 2, 0, 3, 2, 3, 4, 3, 4, 1, 4, 0, 3, 4, 0, 3, 4, 3, 2, 0, 3, 1, 2, 4, 3, 3, 1, 2, 2, 4, 3, 2, 2, 0, 4, 2, 0, 4, 2, 0, 2, 3, 0, 0, 2, 3, 4, 4, 0, 4, 4, 3, 4, 1, 3, 3, 2, 4, 2, 0, 1, 2, 3, 1, 4, 3, 4, 2, 4, 3, 1, 1, 4, 4, 4, 3, 1, 1, 0, 0, 4, 0, 0, 3, 4, 2, 1, 2, 0, 1, 0, 0, 3, 1, 2, 4, 0, 3, 3, 0, 2, 2, 0, 3, 4, 4, 0, 0, 0, 2, 0, 0, 1, 3, 3, 1, 0, 4, 3, 3, 1, 0, 4, 4, 1, 1, 2, 0, 3, 1, 0, 1, 3, 2, 2, 3, 0, 1, 4, 0, 0, 3, 1, 2, 3, 1, 3, 1, 0, 4, 1, 4, 0, 1, 3, 2, 3, 1, 0, 1, 2, 4, 3, 0, 1, 0, 3, 3, 4, 0, 1, 2, 2, 1, 3, 1, 3, 1, 1, 2, 0, 3, 4, 4, 3, 0, 0, 4, 4, 2, 4, 2, 0, 4, 1, 0, 2, 0, 3, 1, 4, 4, 0, 4, 2, 1, 1, 0, 0, 0, 1, 2, 4, 3, 1, 1, 1, 2, 3, 0, 2, 4, 1, 2, 0, 3, 3, 0, 4, 2, 0, 3, 4, 3, 1, 2, 3, 3, 1, 1, 2, 0, 3, 0, 0, 3, 1, 1, 3, 1, 3, 4, 1, 0, 0, 3, 4, 3, 4, 0, 3, 1, 2, 2, 3, 0, 0, 2, 4, 0, 4, 0, 2, 0, 4, 2, 3, 2, 4, 0, 1, 4, 0, 1, 2, 2]
pubkeycol1545 = [1, 3, 3, 2, 3, 2, 0, 2, 0, 1, 0, 3, 3, 4, 3, 2, 4, 1, 1, 4, 2, 2, 0, 0, 4, 4, 0, 4, 1, 4, 2, 0, 3, 1, 3, 0, 4, 3, 4, 3, 4, 1, 1, 0, 0, 3, 0, 2, 1, 3, 3, 2, 0, 1, 0, 0, 2, 2, 1, 3, 0, 0, 2, 4, 0, 4, 3, 0, 1, 0, 4, 0, 4, 1, 3, 1, 0, 3, 1, 0, 4, 3, 1, 3, 1, 1, 1, 0, 0, 0, 4, 3, 4, 1, 2, 3, 4, 4, 0, 1, 1, 0, 1, 2, 0, 1, 3, 3, 1, 4, 1, 4, 0, 4, 3, 3, 3, 0, 4, 4, 3, 1, 2, 3, 2, 3, 2, 3, 2, 4, 1, 1, 4, 1, 0, 2, 1, 2, 3, 3, 0, 0, 1, 0, 4, 0, 4, 2, 2, 2, 4, 1, 0, 1, 0, 1, 3, 3, 3, 3, 2, 2, 3, 1, 0, 2, 2, 3, 2, 3, 2, 3, 0, 4, 1, 3, 2, 1, 1, 2, 3, 1, 2, 2, 3, 1, 3, 2, 0, 0, 1, 1, 3, 2, 3, 2, 2, 3, 0, 0, 0, 4, 4, 4, 1, 2, 3, 2, 1, 4, 3, 0, 0, 4, 3, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 4, 0, 3, 3, 3, 1, 4, 1, 0, 0, 2, 1, 4, 3, 0, 4, 0, 1, 2, 4, 1, 3, 2, 2, 2, 1, 0, 3, 2, 2, 0, 2, 0, 1, 0, 1, 1, 4, 0, 1, 2, 3, 2, 0, 2, 0, 1, 3, 0, 0, 2, 1, 0, 1, 3, 0, 3, 0, 4, 4, 4, 0, 4, 0, 2, 2, 4, 2, 2, 4, 2, 3, 4, 3, 2, 4, 2, 1, 1, 2, 0, 2, 3, 2, 2, 0, 1, 0, 0, 3, 2, 4, 0, 4, 4, 3, 4, 1, 1, 0, 3, 0, 3, 1, 1, 3, 2, 2, 3, 0, 3, 2, 1, 4, 3, 2, 0, 2, 1, 2, 3, 2, 4, 3, 2, 3, 0, 2, 0, 2, 4, 1, 1, 1, 1, 4, 2, 0, 3, 3, 3, 3, 2, 2, 0, 3, 3, 1, 2, 3, 2, 1, 3, 4, 2, 4, 0, 3, 1, 4, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 1, 2, 2, 2, 2, 2, 4, 1, 2, 3, 2, 4, 2, 1, 0, 3, 3, 0, 2, 0, 1, 3, 1, 0, 1, 0, 2, 4, 4, 4, 4, 3, 0, 1, 4, 3, 1, 4, 2, 3, 3, 0, 3, 1, 2, 2, 0, 3, 1, 4, 3, 2, 3, 1, 0, 1, 0, 2, 1, 2, 3, 1, 0, 3, 1, 1, 0, 4, 1, 0, 0, 1, 1, 3, 1, 4, 4, 1, 0, 3, 3, 0, 4, 2, 4, 4, 3, 1, 1, 1, 0, 2, 4, 4, 1, 1, 0, 4, 2, 2, 3, 3, 2, 4, 4]
pubkeycol1546 = [4, 2, 0, 1, 1, 0, 1, 3, 4, 4, 4, 4, 2, 2, 2, 3, 3, 3, 1, 4, 3, 0, 4, 3, 2, 2, 3, 0, 4, 1, 2, 1, 2, 3, 4, 1, 2, 1, 2, 4, 2, 0, 4, 1, 4, 2, 0, 2, 2, 1, 1, 3, 3, 1, 2, 1, 3, 4, 0, 1, 1, 4, 3, 0, 3, 2, 4, 2, 4, 4, 3, 0, 1, 3, 0, 1, 3, 2, 4, 2, 1, 4, 4, 4, 4, 3, 3, 3, 1, 2, 1, 2, 4, 4, 1, 4, 4, 2, 3, 1, 4, 4, 4, 1, 2, 1, 1, 2, 0, 0, 4, 0, 3, 0, 4, 4, 3, 2, 0, 1, 4, 4, 2, 3, 0, 1, 1, 0, 4, 4, 1, 4, 0, 1, 4, 4, 0, 0, 2, 4, 0, 1, 2, 4, 1, 3, 0, 0, 0, 2, 2, 4, 2, 0, 2, 2, 1, 1, 2, 2, 2, 4, 0, 2, 4, 3, 2, 0, 1, 1, 3, 3, 2, 2, 3, 2, 0, 0, 1, 1, 4, 1, 2, 3, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 4, 0, 2, 2, 4, 0, 4, 4, 2, 2, 0, 4, 4, 4, 4, 3, 4, 3, 4, 4, 0, 1, 2, 2, 1, 3, 4, 2, 3, 1, 0, 3, 2, 3, 4, 2, 2, 3, 1, 3, 1, 2, 0, 4, 3, 4, 2, 3, 2, 3, 1, 1, 4, 3, 1, 0, 1, 2, 2, 1, 2, 3, 2, 3, 3, 4, 0, 1, 0, 0, 3, 4, 0, 1, 0, 2, 1, 1, 1, 1, 3, 3, 4, 4, 3, 4, 3, 1, 3, 1, 2, 2, 3, 4, 3, 4, 1, 2, 4, 1, 0, 3, 2, 1, 2, 4, 3, 1, 0, 0, 1, 0, 4, 2, 0, 2, 0, 4, 2, 4, 0, 2, 4, 2, 3, 2, 3, 3, 3, 0, 1, 4, 1, 0, 3, 2, 0, 3, 2, 1, 1, 0, 4, 2, 1, 1, 4, 3, 0, 2, 0, 3, 4, 3, 2, 0, 2, 4, 3, 3, 2, 0, 4, 0, 0, 2, 2, 1, 1, 1, 3, 1, 4, 1, 4, 1, 1, 1, 3, 3, 2, 1, 2, 3, 2, 3, 0, 4, 0, 1, 3, 1, 0, 2, 4, 3, 0, 1, 1, 0, 3, 3, 0, 3, 2, 0, 3, 4, 4, 0, 2, 2, 4, 4, 0, 4, 0, 1, 0, 0, 3, 1, 0, 0, 1, 1, 3, 3, 1, 4, 0, 1, 4, 4, 2, 4, 0, 2, 4, 3, 1, 1, 3, 1, 4, 3, 1, 3, 4, 3, 0, 3, 1, 3, 1, 0, 1, 0, 4, 0, 0, 0, 4, 2, 4, 4, 4, 2, 2, 4, 0, 2, 2, 0, 0, 2, 4, 0, 3, 1, 3, 2, 0, 2, 1, 3, 1, 1, 4, 3, 3, 2, 0, 0, 1, 4, 2, 0, 1, 2, 0, 2, 1, 4, 3, 2, 3, 3, 2, 3, 0]
pubkeycol1547 = [3, 2, 1, 2, 1, 1, 2, 4, 1, 4, 4, 1, 0, 4, 3, 4, 0, 1, 1, 0, 1, 3, 3, 3, 4, 1, 0, 4, 1, 1, 4, 1, 0, 1, 3, 0, 0, 1, 0, 0, 0, 4, 0, 2, 0, 3, 1, 0, 3, 1, 4, 2, 2, 0, 0, 2, 1, 2, 4, 3, 4, 4, 4, 1, 0, 4, 4, 3, 0, 3, 4, 2, 4, 4, 3, 2, 0, 4, 1, 2, 3, 0, 1, 2, 0, 2, 4, 0, 4, 0, 0, 0, 4, 3, 1, 3, 2, 3, 0, 0, 3, 0, 0, 4, 4, 0, 0, 1, 1, 2, 3, 2, 1, 3, 1, 2, 2, 3, 1, 3, 4, 1, 2, 3, 4, 2, 2, 3, 3, 1, 4, 2, 3, 3, 4, 3, 0, 2, 4, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 4, 2, 4, 3, 2, 3, 3, 0, 2, 1, 1, 4, 3, 3, 3, 1, 0, 4, 1, 1, 3, 3, 4, 0, 2, 0, 4, 0, 1, 4, 4, 0, 4, 2, 4, 2, 0, 4, 1, 4, 4, 4, 3, 3, 1, 3, 0, 2, 4, 0, 0, 3, 1, 2, 2, 1, 3, 2, 0, 2, 0, 4, 1, 2, 4, 3, 0, 4, 2, 1, 3, 1, 0, 0, 0, 4, 0, 4, 4, 2, 2, 0, 2, 1, 0, 1, 3, 4, 0, 3, 4, 3, 1, 4, 1, 2, 1, 3, 3, 0, 4, 2, 1, 2, 4, 2, 4, 3, 4, 3, 0, 1, 0, 2, 2, 1, 4, 1, 1, 4, 3, 4, 0, 2, 0, 4, 2, 3, 3, 3, 4, 1, 3, 0, 2, 2, 2, 1, 1, 2, 2, 4, 3, 4, 2, 3, 3, 1, 2, 1, 4, 3, 2, 4, 4, 1, 1, 2, 3, 4, 0, 0, 3, 3, 4, 2, 3, 3, 2, 3, 2, 4, 4, 0, 2, 2, 1, 0, 4, 2, 3, 3, 4, 2, 1, 4, 4, 2, 1, 4, 4, 3, 1, 0, 4, 2, 2, 4, 2, 1, 0, 0, 1, 3, 0, 2, 2, 0, 2, 1, 4, 2, 0, 0, 0, 1, 4, 2, 0, 2, 4, 3, 4, 1, 1, 3, 3, 1, 4, 1, 3, 1, 2, 3, 4, 2, 0, 0, 2, 3, 4, 4, 3, 4, 0, 0, 1, 1, 2, 0, 4, 4, 3, 4, 1, 3, 4, 0, 2, 4, 4, 0, 4, 0, 4, 0, 4, 1, 2, 2, 2, 0, 0, 3, 3, 3, 1, 2, 1, 3, 4, 4, 4, 2, 1, 0, 2, 0, 4, 4, 0, 4, 2, 0, 1, 2, 4, 0, 3, 2, 0, 0, 2, 0, 0, 3, 1, 2, 0, 1, 0, 4, 0, 2, 3, 0, 3, 4, 0, 3, 1, 2, 1, 3, 0, 1, 2, 0, 1, 3, 2, 2, 4, 1, 4, 0, 1, 3, 1, 0, 1, 1, 1, 4, 1, 3, 3, 1, 1, 4, 4, 3, 4, 2, 3]
pubkeycol1548 = [4, 2, 4, 2, 3, 0, 3, 2, 1, 4, 4, 3, 2, 0, 0, 0, 4, 3, 1, 0, 0, 4, 0, 1, 2, 3, 0, 2, 0, 3, 0, 1, 2, 1, 2, 1, 3, 2, 3, 2, 1, 3, 4, 4, 2, 1, 1, 4, 2, 1, 3, 1, 3, 4, 1, 4, 3, 0, 1, 4, 3, 1, 0, 4, 0, 4, 2, 1, 2, 1, 3, 1, 0, 1, 0, 2, 0, 4, 0, 1, 0, 0, 1, 3, 4, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 1, 2, 4, 1, 0, 3, 2, 0, 1, 2, 2, 1, 4, 1, 1, 0, 0, 4, 4, 2, 3, 0, 1, 1, 0, 4, 2, 1, 0, 3, 2, 0, 3, 0, 2, 0, 3, 4, 2, 2, 4, 2, 2, 0, 2, 3, 4, 4, 3, 3, 2, 1, 3, 1, 4, 1, 1, 2, 4, 4, 0, 0, 2, 4, 2, 2, 1, 0, 3, 1, 2, 3, 1, 1, 3, 0, 2, 3, 0, 0, 4, 1, 4, 2, 0, 4, 1, 4, 1, 2, 2, 4, 2, 2, 0, 1, 1, 1, 0, 4, 3, 1, 1, 1, 2, 2, 0, 2, 4, 4, 1, 0, 4, 4, 3, 3, 1, 0, 1, 4, 1, 2, 1, 0, 2, 3, 2, 1, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 2, 0, 3, 4, 1, 3, 3, 3, 2, 1, 0, 0, 0, 1, 2, 3, 1, 2, 0, 4, 4, 3, 2, 3, 3, 0, 3, 4, 2, 2, 0, 2, 3, 3, 3, 4, 0, 3, 4, 3, 1, 4, 1, 4, 4, 4, 0, 0, 2, 4, 4, 1, 0, 3, 4, 3, 2, 3, 1, 2, 4, 0, 1, 4, 1, 1, 0, 3, 0, 4, 2, 2, 0, 1, 4, 3, 3, 2, 2, 4, 0, 2, 0, 4, 3, 1, 4, 0, 2, 0, 2, 3, 2, 3, 1, 4, 2, 4, 2, 1, 4, 0, 4, 2, 4, 3, 1, 4, 3, 3, 4, 2, 3, 0, 4, 3, 3, 0, 3, 0, 2, 4, 4, 3, 2, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 2, 2, 3, 2, 2, 0, 4, 0, 4, 1, 1, 2, 3, 4, 3, 3, 1, 4, 2, 1, 2, 0, 4, 1, 1, 1, 3, 1, 2, 4, 4, 3, 3, 2, 0, 1, 0, 3, 4, 4, 2, 3, 3, 3, 0, 0, 1, 0, 0, 1, 3, 1, 1, 1, 4, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 4, 3, 3, 1, 3, 2, 3, 4, 1, 0, 0, 3, 1, 2, 3, 3, 3, 2, 4, 1, 0, 1, 1, 1, 2, 0, 3, 1, 3, 2, 4, 4, 0, 2, 1, 1, 2, 3, 2, 1, 0, 3, 0, 0, 4, 0, 3, 4, 4, 4, 2, 3, 0, 4, 2, 3, 3, 0, 2, 0, 3, 4, 2, 4, 4, 0, 4, 0, 2, 4]
pubkeycol1549 = [1, 2, 3, 3, 2, 3, 0, 1, 3, 4, 2, 0, 4, 2, 1, 3, 1, 4, 4, 1, 3, 4, 3, 4, 0, 4, 2, 1, 2, 4, 4, 3, 3, 0, 0, 2, 4, 2, 1, 1, 4, 4, 2, 0, 0, 0, 0, 4, 3, 0, 3, 2, 1, 3, 1, 1, 2, 0, 2, 1, 0, 1, 3, 0, 2, 4, 2, 2, 2, 1, 1, 1, 2, 3, 0, 4, 3, 3, 0, 2, 0, 4, 1, 1, 0, 1, 3, 3, 0, 2, 4, 1, 1, 0, 0, 1, 2, 2, 3, 2, 2, 2, 0, 4, 4, 4, 0, 1, 2, 0, 3, 3, 0, 0, 1, 4, 2, 4, 2, 2, 1, 3, 3, 3, 3, 2, 1, 3, 1, 2, 2, 1, 1, 1, 2, 2, 3, 4, 3, 4, 1, 0, 0, 4, 0, 4, 1, 3, 2, 1, 3, 2, 1, 4, 2, 4, 1, 0, 4, 2, 4, 1, 3, 2, 2, 1, 1, 1, 2, 0, 1, 4, 1, 3, 4, 0, 4, 3, 3, 0, 3, 0, 3, 0, 3, 2, 4, 2, 4, 4, 3, 0, 0, 3, 3, 3, 4, 4, 4, 0, 0, 1, 0, 1, 2, 2, 3, 2, 3, 4, 0, 1, 0, 4, 3, 4, 3, 3, 0, 4, 1, 1, 3, 0, 1, 1, 3, 3, 0, 3, 1, 2, 2, 0, 2, 1, 4, 3, 3, 4, 0, 1, 1, 2, 0, 4, 0, 4, 1, 1, 0, 4, 1, 0, 0, 2, 0, 3, 0, 0, 2, 2, 2, 1, 3, 3, 3, 3, 4, 0, 1, 0, 2, 1, 4, 0, 0, 2, 3, 1, 0, 1, 2, 3, 1, 1, 1, 4, 0, 2, 2, 2, 1, 3, 0, 4, 1, 0, 2, 1, 3, 4, 4, 3, 4, 3, 3, 1, 0, 3, 2, 0, 1, 2, 3, 0, 4, 2, 0, 4, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 3, 2, 1, 3, 3, 0, 4, 0, 4, 4, 1, 4, 2, 3, 3, 0, 2, 3, 1, 3, 2, 3, 0, 1, 1, 2, 4, 0, 4, 4, 1, 4, 4, 2, 3, 1, 2, 4, 2, 3, 3, 4, 1, 0, 1, 2, 2, 3, 3, 2, 3, 4, 4, 3, 1, 4, 2, 2, 0, 3, 0, 3, 1, 1, 3, 3, 3, 0, 0, 2, 4, 4, 0, 0, 1, 1, 4, 2, 2, 1, 3, 1, 3, 1, 0, 4, 0, 3, 1, 0, 2, 1, 1, 4, 4, 4, 4, 4, 1, 2, 2, 4, 1, 2, 1, 4, 2, 2, 3, 0, 2, 4, 2, 2, 3, 2, 4, 1, 2, 3, 0, 4, 1, 1, 0, 1, 3, 3, 2, 4, 1, 4, 1, 2, 0, 1, 0, 2, 3, 3, 2, 0, 3, 1, 3, 4, 1, 3, 4, 4, 1, 4, 4, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 3, 0, 2, 3, 3, 1, 1, 2, 3, 0, 2, 1]
pubkeycol1550 = [1, 0, 3, 2, 0, 2, 3, 1, 0, 1, 1, 1, 0, 3, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 1, 2, 3, 1, 4, 2, 4, 0, 0, 2, 0, 1, 4, 2, 1, 1, 3, 4, 1, 1, 2, 0, 4, 2, 0, 4, 4, 1, 2, 1, 1, 2, 2, 1, 0, 4, 1, 0, 1, 4, 4, 4, 0, 2, 0, 4, 2, 0, 0, 0, 0, 4, 4, 4, 2, 2, 0, 1, 4, 4, 0, 2, 3, 4, 2, 4, 2, 4, 3, 1, 2, 2, 0, 3, 2, 3, 4, 4, 3, 1, 3, 3, 3, 1, 0, 1, 4, 4, 0, 0, 1, 4, 1, 3, 4, 0, 1, 1, 4, 1, 2, 3, 1, 3, 1, 2, 0, 3, 3, 2, 4, 3, 2, 2, 4, 1, 3, 4, 3, 2, 1, 2, 3, 4, 1, 4, 3, 1, 4, 4, 3, 1, 4, 4, 4, 1, 4, 0, 3, 3, 0, 2, 1, 2, 1, 0, 4, 3, 3, 4, 0, 0, 1, 3, 2, 1, 1, 4, 4, 2, 3, 3, 1, 1, 3, 4, 2, 0, 2, 4, 3, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 4, 4, 1, 4, 3, 1, 1, 3, 2, 4, 2, 0, 2, 0, 0, 3, 3, 2, 4, 4, 3, 0, 1, 0, 3, 4, 2, 2, 0, 2, 0, 0, 1, 0, 4, 1, 0, 1, 3, 0, 1, 4, 3, 2, 2, 2, 4, 4, 4, 2, 3, 3, 1, 2, 0, 4, 4, 0, 3, 3, 0, 3, 3, 1, 1, 0, 2, 2, 2, 2, 4, 4, 2, 0, 1, 2, 4, 1, 0, 4, 2, 3, 4, 1, 2, 3, 2, 0, 1, 1, 0, 3, 3, 4, 3, 3, 4, 3, 4, 3, 3, 2, 0, 0, 4, 1, 1, 0, 4, 3, 2, 1, 3, 0, 3, 2, 4, 4, 2, 1, 1, 1, 3, 1, 4, 2, 0, 4, 0, 2, 0, 3, 4, 4, 0, 4, 1, 2, 4, 2, 0, 0, 1, 3, 4, 0, 1, 1, 3, 1, 1, 0, 4, 2, 3, 0, 4, 2, 2, 0, 0, 4, 2, 3, 0, 0, 1, 1, 1, 2, 1, 0, 4, 3, 1, 2, 2, 3, 0, 2, 2, 1, 3, 1, 4, 0, 3, 1, 2, 0, 0, 0, 4, 2, 0, 0, 1, 3, 4, 4, 1, 1, 1, 4, 2, 0, 2, 1, 0, 2, 1, 2, 4, 0, 1, 3, 0, 1, 4, 3, 4, 0, 2, 0, 0, 1, 2, 2, 2, 4, 4, 3, 4, 1, 1, 1, 1, 1, 1, 3, 4, 2, 3, 2, 3, 4, 3, 1, 2, 3, 4, 4, 0, 0, 1, 2, 3, 3, 1, 2, 2, 3, 4, 2, 3, 1, 2, 0, 1, 2, 4, 1, 2, 3, 3, 3, 4, 1, 4, 1, 3, 1, 0, 0, 3, 2, 0, 0, 4, 3, 3, 0, 2, 0, 4, 0, 0, 0, 0, 2]
pubkeycol1551 = [1, 3, 3, 2, 2, 4, 3, 2, 1, 0, 2, 4, 4, 3, 1, 4, 2, 0, 0, 1, 0, 0, 1, 4, 3, 0, 0, 1, 3, 2, 4, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 3, 0, 1, 2, 3, 4, 1, 4, 1, 0, 4, 3, 4, 2, 2, 2, 0, 1, 1, 3, 4, 2, 3, 4, 4, 2, 0, 4, 1, 1, 2, 4, 0, 0, 2, 3, 2, 1, 1, 0, 0, 0, 0, 1, 2, 3, 4, 1, 1, 1, 2, 3, 0, 1, 4, 2, 0, 1, 2, 1, 1, 2, 2, 2, 4, 4, 1, 2, 2, 1, 2, 4, 0, 3, 2, 0, 0, 3, 4, 3, 2, 3, 4, 2, 4, 2, 4, 1, 1, 2, 4, 4, 1, 3, 3, 0, 1, 4, 1, 2, 1, 3, 0, 2, 2, 2, 3, 1, 3, 3, 0, 3, 2, 1, 1, 4, 1, 0, 0, 4, 3, 4, 2, 0, 1, 0, 2, 1, 1, 4, 2, 1, 3, 3, 1, 4, 1, 4, 2, 2, 2, 0, 3, 4, 2, 4, 1, 3, 2, 3, 1, 1, 0, 0, 1, 1, 3, 1, 1, 4, 0, 1, 0, 1, 2, 1, 1, 4, 4, 3, 2, 0, 3, 4, 2, 1, 1, 1, 1, 1, 3, 0, 4, 1, 1, 3, 1, 4, 1, 3, 1, 0, 3, 4, 3, 2, 4, 0, 0, 3, 2, 4, 2, 4, 4, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 4, 2, 1, 3, 3, 1, 4, 4, 3, 3, 0, 1, 2, 4, 0, 4, 2, 3, 2, 1, 3, 4, 0, 3, 1, 4, 0, 2, 4, 1, 4, 0, 0, 0, 4, 2, 1, 3, 0, 2, 3, 3, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 4, 3, 4, 4, 4, 0, 2, 0, 4, 1, 1, 4, 4, 1, 2, 2, 0, 2, 3, 0, 3, 2, 0, 1, 0, 1, 2, 2, 4, 4, 4, 0, 4, 1, 3, 2, 4, 3, 3, 1, 2, 2, 1, 4, 4, 1, 3, 1, 3, 1, 2, 4, 2, 1, 4, 2, 1, 3, 3, 0, 4, 2, 2, 4, 0, 4, 3, 4, 1, 2, 1, 1, 2, 3, 2, 1, 2, 0, 1, 2, 3, 2, 3, 2, 3, 3, 2, 1, 3, 0, 2, 4, 2, 0, 2, 1, 2, 0, 3, 4, 0, 3, 0, 4, 4, 0, 4, 1, 2, 3, 0, 0, 1, 0, 0, 0, 4, 3, 4, 0, 4, 0, 3, 3, 2, 0, 0, 1, 1, 2, 4, 0, 1, 4, 2, 2, 2, 3, 3, 0, 0, 2, 2, 0, 1, 0, 4, 1, 1, 2, 3, 2, 2, 1, 0, 2, 0, 4, 1, 4, 4, 0, 3, 0, 3, 0, 4, 0, 1, 3, 3, 0, 3, 4, 0, 0, 2, 4, 2, 3, 0, 4, 0, 2, 2, 1, 3, 4, 3, 4]
pubkeycol1552 = [3, 0, 0, 3, 3, 2, 4, 0, 2, 3, 3, 1, 2, 3, 3, 0, 2, 2, 2, 1, 1, 2, 3, 4, 2, 3, 1, 3, 0, 2, 2, 1, 3, 2, 0, 3, 1, 1, 2, 1, 2, 3, 1, 1, 2, 1, 4, 0, 2, 2, 4, 1, 0, 0, 0, 1, 2, 4, 0, 2, 2, 1, 1, 3, 3, 0, 1, 1, 2, 2, 2, 3, 4, 1, 1, 3, 3, 4, 1, 1, 2, 2, 4, 2, 3, 3, 1, 1, 4, 4, 1, 3, 0, 2, 0, 0, 3, 4, 0, 4, 3, 0, 2, 1, 0, 1, 4, 3, 0, 3, 4, 3, 3, 4, 0, 0, 4, 1, 1, 3, 2, 0, 1, 3, 4, 2, 4, 0, 1, 2, 4, 3, 4, 0, 2, 3, 1, 1, 2, 0, 1, 0, 3, 4, 2, 1, 0, 4, 4, 4, 1, 2, 0, 0, 4, 2, 2, 3, 3, 1, 3, 4, 2, 2, 3, 1, 2, 0, 1, 4, 3, 2, 3, 1, 1, 1, 0, 0, 0, 1, 4, 3, 4, 0, 3, 3, 2, 0, 1, 0, 3, 3, 4, 3, 3, 1, 0, 2, 2, 0, 3, 4, 3, 4, 3, 4, 1, 4, 2, 3, 2, 4, 4, 1, 4, 3, 2, 0, 3, 2, 1, 2, 3, 0, 1, 2, 0, 3, 1, 1, 0, 0, 3, 2, 2, 4, 1, 4, 3, 4, 3, 0, 0, 2, 1, 3, 3, 2, 3, 3, 1, 0, 3, 0, 4, 1, 3, 1, 1, 3, 4, 2, 1, 0, 3, 0, 3, 2, 4, 2, 3, 1, 3, 2, 1, 3, 2, 1, 4, 0, 2, 0, 2, 1, 2, 1, 1, 4, 3, 3, 2, 4, 1, 2, 0, 0, 2, 2, 0, 4, 4, 1, 3, 4, 4, 0, 3, 3, 0, 0, 4, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 4, 1, 4, 2, 3, 1, 0, 3, 0, 2, 4, 4, 3, 3, 1, 1, 1, 2, 4, 0, 0, 2, 2, 1, 3, 0, 1, 4, 4, 2, 2, 1, 4, 0, 2, 4, 0, 0, 3, 0, 4, 4, 3, 1, 4, 0, 2, 0, 0, 1, 1, 1, 3, 2, 4, 2, 3, 4, 1, 4, 2, 4, 3, 3, 4, 1, 4, 4, 2, 1, 4, 1, 0, 3, 1, 1, 3, 3, 3, 2, 0, 3, 4, 0, 4, 4, 3, 0, 1, 4, 2, 0, 1, 2, 0, 4, 0, 0, 2, 1, 1, 3, 1, 0, 3, 3, 0, 1, 1, 4, 2, 1, 2, 2, 0, 4, 0, 1, 0, 3, 1, 0, 2, 1, 3, 2, 1, 0, 1, 1, 4, 2, 4, 0, 2, 1, 3, 2, 3, 0, 4, 4, 1, 1, 1, 3, 4, 3, 4, 0, 4, 1, 3, 0, 4, 3, 0, 4, 0, 1, 4, 3, 0, 1, 4, 1, 4, 0, 1, 0, 2, 3, 0, 1, 4, 4, 0, 4, 1, 3, 4, 4, 4, 1]
pubkeycol1553 = [4, 3, 3, 1, 3, 0, 2, 2, 2, 4, 4, 0, 3, 1, 3, 0, 1, 4, 2, 4, 3, 1, 2, 1, 1, 1, 1, 2, 1, 4, 0, 1, 3, 3, 4, 1, 0, 2, 0, 1, 1, 0, 2, 3, 1, 2, 2, 3, 1, 1, 0, 4, 2, 2, 1, 1, 4, 2, 2, 3, 0, 4, 0, 3, 4, 2, 1, 2, 3, 2, 2, 2, 2, 4, 3, 4, 1, 2, 1, 0, 3, 2, 0, 1, 1, 1, 1, 0, 4, 0, 4, 1, 2, 2, 3, 2, 1, 3, 0, 0, 1, 2, 4, 3, 2, 2, 2, 4, 1, 4, 3, 0, 1, 4, 0, 1, 2, 0, 2, 0, 3, 2, 1, 0, 0, 0, 3, 2, 4, 2, 0, 2, 0, 4, 1, 4, 0, 0, 3, 2, 3, 0, 4, 4, 2, 1, 0, 3, 0, 2, 4, 4, 3, 4, 3, 3, 2, 4, 0, 1, 3, 2, 2, 3, 1, 3, 1, 3, 4, 3, 3, 3, 0, 3, 3, 4, 3, 2, 4, 1, 4, 2, 0, 1, 4, 1, 2, 2, 3, 3, 3, 0, 0, 2, 0, 4, 3, 4, 4, 1, 0, 0, 0, 1, 0, 3, 4, 4, 0, 1, 3, 1, 4, 4, 3, 4, 4, 0, 3, 1, 0, 2, 1, 0, 4, 4, 2, 4, 1, 3, 3, 3, 2, 3, 3, 4, 0, 0, 3, 0, 4, 1, 2, 3, 1, 1, 2, 3, 2, 4, 4, 1, 3, 4, 2, 0, 3, 2, 3, 2, 0, 0, 3, 1, 0, 2, 3, 0, 4, 2, 3, 2, 0, 3, 1, 1, 2, 2, 2, 4, 3, 1, 2, 3, 1, 1, 1, 2, 3, 1, 2, 2, 1, 3, 3, 0, 2, 0, 3, 0, 2, 1, 3, 0, 3, 0, 3, 0, 0, 4, 3, 4, 3, 2, 1, 4, 3, 3, 0, 4, 1, 4, 1, 4, 4, 1, 1, 0, 0, 3, 4, 4, 3, 2, 0, 0, 2, 3, 1, 0, 4, 2, 2, 0, 4, 1, 0, 4, 0, 4, 2, 1, 1, 1, 0, 1, 4, 1, 1, 1, 3, 3, 2, 2, 3, 4, 2, 4, 3, 4, 3, 0, 1, 0, 1, 4, 2, 3, 2, 2, 3, 2, 1, 1, 0, 4, 1, 1, 0, 3, 0, 4, 0, 4, 4, 0, 0, 4, 0, 2, 4, 1, 0, 0, 4, 4, 1, 1, 3, 2, 1, 4, 2, 1, 1, 3, 4, 2, 0, 2, 3, 2, 3, 3, 3, 1, 3, 2, 4, 4, 2, 1, 4, 1, 3, 0, 3, 1, 2, 2, 4, 2, 0, 2, 3, 0, 2, 4, 4, 2, 2, 2, 1, 4, 4, 2, 0, 4, 4, 3, 0, 2, 0, 3, 1, 1, 4, 1, 2, 3, 1, 4, 0, 3, 2, 1, 0, 0, 3, 4, 2, 0, 1, 4, 0, 4, 3, 4, 3, 3, 1, 3, 1, 3, 1, 0, 2, 2, 3, 4, 1, 3, 2, 0, 1]
pubkeycol1554 = [4, 2, 2, 1, 4, 0, 2, 4, 1, 4, 4, 1, 0, 1, 0, 0, 4, 0, 2, 4, 2, 2, 4, 3, 2, 2, 4, 3, 0, 4, 1, 0, 0, 1, 4, 2, 4, 3, 2, 4, 3, 4, 3, 1, 1, 1, 1, 0, 3, 3, 1, 3, 2, 4, 3, 4, 0, 3, 2, 4, 0, 1, 3, 4, 2, 1, 3, 2, 4, 1, 2, 0, 3, 3, 1, 0, 3, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 4, 4, 3, 3, 4, 2, 3, 1, 3, 3, 3, 2, 2, 0, 0, 0, 0, 4, 3, 0, 3, 4, 3, 3, 0, 0, 0, 0, 3, 1, 3, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 4, 3, 2, 1, 4, 3, 0, 4, 4, 0, 0, 3, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 4, 1, 1, 1, 0, 3, 1, 4, 3, 3, 2, 0, 4, 4, 0, 0, 1, 3, 1, 2, 1, 4, 1, 3, 3, 0, 1, 3, 2, 4, 4, 0, 2, 3, 0, 0, 3, 2, 0, 4, 0, 3, 4, 3, 0, 4, 3, 1, 2, 3, 3, 1, 4, 2, 4, 0, 4, 3, 1, 0, 2, 2, 1, 4, 3, 3, 0, 4, 0, 3, 4, 3, 4, 3, 2, 1, 1, 4, 0, 2, 1, 4, 1, 4, 2, 3, 4, 0, 2, 2, 1, 4, 0, 3, 3, 3, 3, 2, 0, 3, 2, 3, 4, 0, 4, 2, 2, 1, 0, 3, 0, 3, 0, 4, 4, 1, 1, 4, 4, 1, 0, 4, 0, 0, 4, 3, 2, 1, 0, 3, 2, 4, 0, 1, 4, 2, 2, 4, 4, 2, 4, 0, 3, 0, 4, 1, 3, 1, 1, 4, 2, 4, 0, 0, 1, 3, 0, 4, 0, 2, 3, 1, 3, 0, 3, 4, 4, 0, 0, 3, 4, 3, 2, 2, 0, 2, 2, 1, 4, 3, 0, 2, 1, 1, 4, 1, 4, 3, 1, 4, 4, 0, 0, 1, 4, 1, 4, 2, 2, 0, 2, 4, 1, 1, 3, 1, 4, 0, 3, 1, 2, 1, 4, 3, 3, 0, 3, 1, 2, 4, 1, 1, 2, 1, 2, 4, 2, 4, 3, 1, 4, 4, 1, 2, 3, 0, 2, 0, 1, 1, 1, 1, 4, 0, 2, 2, 2, 2, 3, 2, 3, 3, 2, 4, 2, 0, 3, 3, 1, 1, 0, 4, 4, 4, 3, 3, 0, 4, 2, 4, 1, 0, 3, 1, 4, 4, 3, 0, 3, 2, 1, 0, 0, 2, 4, 3, 1, 1, 1, 4, 2, 1, 0, 4, 1, 4, 4, 2, 3, 3, 1, 2, 0, 2, 1, 1, 0, 4, 2, 0, 3, 4, 4, 4, 3, 4, 2, 2, 3, 1, 0, 1, 0, 1, 3, 0, 1, 4, 0, 1, 4, 3, 1, 4, 2, 3, 2, 1, 0, 4, 0, 0, 3, 3, 4, 0, 3, 2, 0, 4, 1, 3, 3, 1]
pubkeycol1555 = [1, 2, 1, 1, 1, 3, 1, 4, 4, 1, 2, 3, 1, 3, 4, 3, 4, 2, 2, 0, 1, 1, 0, 2, 3, 0, 1, 3, 2, 0, 4, 3, 2, 2, 1, 0, 2, 1, 2, 4, 3, 4, 4, 0, 1, 3, 3, 2, 2, 3, 3, 0, 4, 2, 4, 2, 0, 1, 3, 0, 4, 2, 2, 3, 0, 0, 4, 4, 2, 2, 1, 3, 1, 4, 1, 1, 3, 4, 2, 4, 4, 1, 1, 2, 4, 3, 3, 4, 3, 1, 1, 0, 2, 3, 4, 0, 3, 2, 3, 2, 0, 4, 3, 3, 4, 2, 1, 0, 3, 3, 2, 1, 4, 2, 4, 3, 1, 2, 2, 1, 3, 3, 1, 1, 2, 0, 3, 3, 4, 4, 0, 4, 2, 4, 2, 2, 2, 4, 3, 0, 2, 0, 2, 0, 4, 1, 4, 0, 3, 2, 2, 3, 2, 2, 3, 3, 1, 0, 0, 0, 3, 4, 1, 0, 2, 1, 3, 3, 2, 4, 0, 0, 0, 3, 0, 1, 3, 0, 1, 4, 0, 1, 2, 3, 0, 2, 3, 1, 1, 0, 3, 1, 4, 3, 4, 1, 0, 0, 3, 0, 3, 0, 1, 3, 2, 2, 0, 4, 4, 3, 4, 1, 4, 0, 2, 4, 3, 4, 0, 0, 0, 3, 1, 4, 2, 2, 2, 0, 1, 4, 1, 4, 4, 3, 4, 0, 3, 1, 2, 4, 3, 0, 3, 3, 3, 0, 0, 4, 4, 3, 3, 3, 2, 2, 3, 2, 0, 3, 4, 4, 0, 3, 1, 0, 4, 0, 4, 1, 4, 3, 0, 3, 4, 1, 3, 0, 1, 4, 2, 1, 3, 1, 3, 3, 1, 4, 0, 3, 2, 1, 3, 3, 4, 1, 3, 0, 4, 3, 0, 2, 3, 2, 0, 2, 1, 3, 4, 0, 4, 1, 4, 1, 0, 2, 4, 1, 1, 4, 3, 1, 4, 4, 2, 4, 0, 3, 0, 2, 1, 0, 1, 4, 4, 1, 4, 4, 2, 2, 1, 4, 4, 0, 3, 3, 0, 2, 3, 2, 2, 1, 0, 4, 2, 2, 3, 2, 3, 4, 3, 4, 1, 4, 0, 0, 4, 4, 4, 3, 4, 2, 4, 3, 0, 1, 0, 2, 1, 2, 1, 0, 3, 2, 2, 0, 3, 1, 0, 3, 0, 1, 1, 2, 4, 2, 2, 3, 3, 0, 4, 4, 2, 2, 2, 4, 4, 0, 0, 4, 3, 2, 1, 4, 4, 1, 1, 3, 2, 4, 3, 1, 4, 1, 4, 3, 1, 1, 2, 0, 3, 4, 4, 4, 4, 2, 1, 1, 1, 3, 0, 3, 2, 3, 2, 3, 3, 3, 3, 0, 3, 3, 2, 1, 2, 1, 0, 3, 4, 3, 3, 4, 1, 1, 0, 4, 1, 2, 2, 4, 2, 0, 0, 4, 1, 4, 1, 2, 2, 4, 2, 3, 4, 2, 1, 2, 2, 3, 0, 1, 2, 0, 4, 1, 4, 0, 1, 4, 2, 3, 4, 2, 2, 2, 4, 2, 2]
pubkeycol1556 = [2, 3, 2, 0, 1, 0, 1, 1, 3, 1, 4, 4, 2, 2, 3, 2, 1, 4, 1, 1, 1, 0, 3, 0, 3, 3, 0, 3, 4, 3, 1, 1, 4, 3, 1, 2, 1, 1, 0, 2, 4, 4, 4, 0, 0, 4, 0, 0, 3, 0, 1, 2, 0, 3, 4, 3, 2, 3, 3, 0, 0, 2, 1, 0, 2, 0, 1, 3, 3, 3, 3, 4, 4, 2, 1, 1, 2, 1, 0, 4, 4, 3, 1, 2, 0, 0, 2, 1, 3, 2, 2, 2, 4, 1, 3, 4, 4, 0, 3, 2, 1, 3, 2, 0, 2, 2, 2, 2, 4, 4, 4, 4, 0, 0, 4, 1, 3, 0, 0, 0, 1, 3, 1, 1, 2, 4, 4, 0, 1, 1, 0, 3, 4, 0, 1, 1, 1, 1, 4, 0, 2, 0, 2, 0, 0, 1, 2, 3, 0, 3, 3, 2, 3, 1, 4, 1, 1, 0, 2, 2, 3, 2, 0, 0, 3, 1, 4, 2, 3, 2, 1, 3, 3, 4, 4, 0, 3, 4, 1, 1, 3, 3, 3, 1, 2, 0, 0, 3, 4, 1, 2, 4, 4, 3, 0, 4, 4, 3, 3, 0, 3, 2, 3, 1, 2, 2, 2, 4, 2, 4, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 4, 3, 0, 1, 1, 1, 4, 1, 4, 1, 1, 4, 0, 4, 0, 4, 4, 1, 2, 3, 3, 3, 3, 1, 4, 4, 3, 1, 4, 0, 1, 3, 1, 3, 4, 2, 4, 1, 4, 1, 0, 2, 0, 1, 3, 3, 0, 4, 0, 1, 2, 0, 0, 4, 4, 1, 0, 1, 3, 1, 1, 1, 4, 1, 1, 0, 3, 4, 3, 2, 4, 0, 0, 3, 1, 3, 3, 2, 0, 3, 3, 4, 1, 4, 3, 3, 1, 4, 2, 3, 0, 1, 3, 4, 3, 0, 4, 3, 4, 2, 1, 0, 4, 1, 1, 0, 2, 2, 2, 3, 0, 3, 1, 1, 0, 1, 3, 3, 3, 1, 0, 4, 1, 4, 4, 3, 4, 2, 2, 0, 3, 1, 3, 2, 0, 0, 2, 1, 2, 4, 2, 1, 0, 2, 2, 0, 4, 3, 4, 0, 2, 2, 0, 0, 0, 4, 0, 0, 2, 3, 2, 2, 4, 3, 4, 4, 2, 3, 4, 0, 4, 4, 0, 2, 0, 4, 2, 1, 3, 2, 2, 2, 2, 4, 1, 3, 3, 4, 0, 3, 1, 0, 3, 2, 2, 1, 4, 2, 3, 1, 2, 4, 3, 2, 0, 0, 3, 4, 2, 2, 4, 2, 3, 1, 0, 1, 1, 4, 3, 1, 3, 4, 2, 4, 0, 2, 0, 1, 1, 2, 3, 3, 2, 0, 2, 1, 3, 3, 1, 0, 2, 4, 4, 0, 3, 4, 1, 3, 3, 1, 1, 3, 4, 3, 1, 4, 2, 2, 2, 3, 0, 2, 4, 3, 3, 2, 3, 2, 1, 0, 3, 2, 4, 3, 4, 4, 3, 1, 1, 2, 4, 1, 1, 4]
pubkeycol1557 = [3, 0, 4, 4, 3, 3, 4, 0, 1, 4, 3, 4, 1, 3, 3, 2, 4, 2, 2, 3, 2, 2, 3, 4, 1, 0, 2, 1, 0, 1, 0, 4, 4, 3, 1, 2, 4, 2, 3, 4, 1, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 4, 0, 2, 3, 2, 4, 0, 4, 2, 0, 2, 1, 4, 3, 3, 2, 4, 4, 3, 3, 1, 0, 1, 2, 3, 2, 2, 1, 0, 1, 3, 1, 2, 2, 3, 2, 2, 1, 3, 0, 3, 4, 2, 2, 2, 3, 1, 1, 0, 2, 2, 1, 0, 0, 4, 3, 1, 4, 2, 3, 2, 2, 3, 1, 0, 0, 3, 0, 4, 4, 2, 1, 2, 2, 0, 1, 4, 3, 2, 0, 2, 1, 0, 4, 1, 2, 4, 0, 3, 2, 0, 3, 2, 1, 1, 2, 2, 1, 2, 3, 4, 0, 3, 3, 4, 0, 3, 4, 1, 0, 1, 3, 2, 3, 2, 4, 0, 1, 4, 0, 3, 1, 4, 1, 4, 0, 1, 3, 4, 2, 3, 3, 1, 3, 4, 0, 0, 3, 4, 3, 1, 4, 2, 1, 0, 0, 0, 0, 0, 2, 1, 3, 2, 0, 3, 0, 3, 1, 0, 2, 2, 1, 3, 4, 0, 3, 4, 1, 0, 1, 2, 4, 0, 2, 2, 2, 4, 4, 1, 1, 1, 3, 0, 1, 4, 1, 0, 2, 2, 2, 4, 0, 2, 0, 1, 1, 4, 3, 4, 2, 1, 2, 0, 2, 3, 4, 4, 2, 1, 4, 0, 1, 4, 3, 3, 0, 2, 0, 2, 0, 2, 4, 2, 3, 1, 0, 0, 0, 4, 0, 4, 2, 2, 0, 1, 3, 2, 3, 1, 3, 0, 2, 4, 0, 4, 1, 1, 0, 1, 3, 0, 2, 3, 2, 4, 2, 1, 4, 4, 3, 1, 2, 4, 3, 0, 1, 0, 2, 1, 3, 0, 1, 3, 3, 4, 0, 4, 0, 4, 3, 2, 1, 4, 3, 4, 4, 4, 3, 2, 1, 3, 4, 0, 3, 3, 3, 4, 1, 4, 4, 2, 3, 0, 0, 2, 3, 3, 2, 1, 0, 3, 0, 3, 2, 3, 1, 2, 2, 3, 4, 4, 1, 2, 2, 2, 2, 4, 0, 3, 0, 1, 0, 2, 1, 0, 1, 3, 3, 1, 1, 2, 4, 0, 2, 0, 3, 0, 0, 4, 2, 1, 2, 4, 0, 1, 3, 0, 0, 1, 4, 2, 2, 0, 4, 2, 4, 2, 2, 0, 1, 2, 3, 2, 4, 2, 1, 0, 4, 3, 0, 4, 2, 1, 4, 4, 0, 0, 0, 4, 1, 1, 3, 1, 3, 4, 0, 2, 3, 2, 3, 3, 0, 0, 2, 4, 4, 4, 4, 1, 3, 2, 3, 1, 4, 2, 1, 2, 2, 3, 4, 2, 0, 1, 4, 2, 2, 4, 0, 1, 3, 2, 2, 3, 0, 2, 4, 0, 2, 4, 2, 0, 0, 4, 1, 0, 1, 0, 4, 2, 2, 2, 1, 3, 2]
pubkeycol1558 = [1, 4, 4, 3, 3, 0, 0, 1, 4, 4, 1, 1, 0, 2, 0, 3, 3, 0, 0, 3, 1, 0, 3, 3, 4, 0, 0, 2, 3, 3, 1, 1, 0, 0, 1, 1, 3, 2, 1, 0, 3, 4, 3, 0, 2, 1, 2, 4, 0, 4, 0, 3, 4, 2, 4, 3, 2, 0, 2, 1, 3, 2, 0, 2, 4, 2, 1, 4, 3, 4, 2, 2, 4, 2, 0, 3, 2, 4, 3, 2, 4, 0, 2, 4, 2, 4, 2, 3, 2, 4, 1, 2, 1, 4, 1, 1, 0, 3, 0, 2, 3, 4, 0, 2, 4, 1, 2, 3, 2, 1, 4, 2, 3, 2, 2, 1, 3, 0, 1, 0, 2, 4, 1, 1, 4, 4, 0, 0, 0, 4, 1, 0, 4, 3, 1, 2, 4, 1, 1, 3, 3, 1, 1, 4, 0, 4, 2, 4, 2, 2, 3, 3, 3, 4, 0, 2, 0, 0, 0, 3, 2, 0, 1, 1, 2, 4, 1, 3, 0, 3, 4, 3, 3, 1, 3, 0, 0, 1, 1, 4, 3, 4, 4, 4, 2, 4, 1, 4, 0, 3, 0, 3, 3, 0, 2, 3, 4, 4, 0, 1, 1, 1, 1, 1, 4, 3, 2, 2, 3, 2, 4, 4, 1, 4, 0, 0, 0, 0, 2, 4, 4, 0, 2, 0, 2, 2, 4, 3, 2, 2, 4, 1, 4, 1, 3, 0, 1, 1, 4, 4, 3, 2, 2, 0, 3, 3, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 4, 0, 2, 2, 1, 4, 2, 1, 4, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 3, 1, 0, 4, 1, 0, 0, 3, 4, 1, 0, 1, 0, 2, 4, 4, 0, 2, 0, 4, 1, 4, 2, 4, 0, 1, 3, 4, 1, 0, 1, 3, 4, 4, 1, 1, 4, 3, 1, 0, 3, 1, 3, 4, 0, 4, 2, 4, 2, 3, 2, 1, 1, 1, 4, 0, 0, 4, 4, 1, 3, 2, 0, 4, 3, 3, 4, 1, 4, 0, 3, 0, 3, 4, 2, 4, 4, 2, 0, 0, 0, 4, 1, 3, 3, 1, 0, 4, 0, 0, 0, 4, 1, 0, 4, 4, 1, 1, 4, 1, 2, 3, 3, 2, 4, 1, 0, 0, 0, 4, 1, 0, 3, 0, 1, 4, 2, 1, 3, 2, 0, 3, 0, 4, 2, 3, 3, 0, 3, 3, 4, 0, 0, 0, 2, 4, 1, 4, 3, 4, 1, 2, 1, 3, 1, 1, 2, 0, 1, 3, 2, 3, 2, 0, 3, 2, 3, 1, 3, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 3, 4, 3, 4, 3, 3, 2, 0, 0, 4, 4, 1, 3, 4, 4, 2, 2, 0, 1, 2, 0, 1, 3, 2, 4, 2, 2, 4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 3, 2, 3, 1, 1, 2, 4, 1, 0, 4, 2, 3, 0, 1, 4, 3, 1, 2, 3, 3, 4, 0, 0, 3]
pubkeycol1559 = [3, 4, 2, 0, 4, 4, 4, 3, 2, 0, 0, 3, 3, 2, 4, 2, 4, 2, 2, 2, 3, 3, 4, 0, 0, 4, 2, 1, 3, 2, 4, 0, 2, 3, 3, 3, 4, 4, 0, 0, 0, 4, 1, 1, 2, 1, 4, 2, 1, 0, 3, 4, 4, 2, 1, 2, 3, 4, 3, 1, 3, 0, 2, 0, 2, 3, 2, 4, 0, 4, 2, 3, 1, 0, 3, 2, 1, 1, 4, 4, 2, 3, 2, 1, 4, 0, 3, 2, 4, 3, 0, 2, 1, 2, 4, 3, 1, 4, 2, 2, 0, 1, 3, 0, 0, 2, 2, 3, 4, 2, 2, 4, 1, 1, 4, 1, 3, 3, 4, 4, 4, 3, 0, 1, 4, 1, 3, 0, 0, 3, 0, 0, 4, 0, 4, 1, 4, 0, 3, 4, 4, 4, 2, 2, 1, 2, 2, 1, 3, 0, 3, 2, 1, 0, 1, 0, 3, 2, 4, 2, 3, 0, 2, 1, 1, 0, 4, 1, 0, 1, 1, 2, 1, 0, 4, 4, 3, 4, 1, 3, 4, 2, 2, 0, 2, 0, 0, 1, 1, 3, 4, 1, 3, 0, 4, 3, 4, 2, 0, 1, 0, 4, 4, 4, 1, 3, 4, 0, 0, 2, 3, 1, 1, 0, 1, 3, 0, 4, 0, 4, 1, 4, 3, 1, 2, 4, 2, 0, 1, 3, 0, 1, 4, 1, 2, 1, 3, 1, 1, 3, 1, 0, 3, 0, 4, 3, 3, 4, 3, 2, 2, 4, 2, 1, 0, 1, 3, 4, 0, 1, 4, 0, 3, 2, 0, 4, 2, 4, 3, 3, 0, 4, 1, 2, 4, 4, 4, 4, 0, 4, 2, 4, 2, 4, 4, 0, 2, 1, 4, 4, 4, 0, 3, 2, 4, 1, 2, 1, 3, 4, 1, 1, 0, 0, 2, 0, 1, 4, 2, 0, 4, 0, 4, 2, 4, 0, 0, 4, 4, 3, 3, 1, 0, 1, 0, 4, 1, 1, 3, 3, 1, 1, 4, 3, 2, 2, 2, 4, 1, 2, 2, 1, 2, 4, 1, 0, 1, 2, 3, 3, 3, 4, 3, 0, 1, 1, 2, 2, 0, 2, 2, 4, 1, 2, 1, 4, 4, 2, 1, 3, 4, 1, 4, 0, 3, 1, 2, 1, 2, 3, 2, 4, 2, 0, 4, 0, 3, 3, 1, 4, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 3, 2, 1, 1, 4, 4, 2, 4, 0, 4, 1, 3, 4, 0, 0, 3, 4, 4, 4, 3, 0, 4, 1, 0, 2, 2, 3, 3, 1, 1, 3, 3, 3, 4, 4, 3, 4, 0, 3, 4, 3, 4, 3, 0, 4, 2, 2, 1, 4, 4, 1, 2, 4, 0, 2, 3, 4, 4, 4, 2, 1, 4, 3, 1, 1, 2, 0, 3, 4, 4, 0, 4, 1, 1, 1, 0, 3, 3, 1, 1, 4, 3, 4, 4, 2, 3, 3, 2, 2, 3, 0, 0, 1, 4, 0, 3, 2, 1, 3, 1, 0]
pubkeycol1560 = [2, 3, 1, 1, 0, 4, 0, 2, 0, 1, 2, 0, 4, 4, 3, 0, 3, 2, 4, 1, 2, 4, 2, 4, 3, 4, 1, 2, 0, 4, 2, 3, 0, 3, 2, 4, 3, 0, 3, 0, 2, 1, 3, 0, 4, 0, 0, 0, 4, 2, 0, 1, 4, 0, 4, 2, 2, 3, 1, 0, 1, 2, 4, 1, 1, 2, 1, 0, 1, 0, 4, 2, 2, 1, 2, 3, 0, 0, 4, 4, 0, 2, 4, 2, 0, 0, 2, 0, 4, 2, 0, 0, 0, 1, 2, 1, 2, 3, 0, 1, 1, 0, 1, 0, 4, 2, 4, 1, 1, 1, 4, 0, 2, 1, 4, 3, 2, 3, 2, 3, 1, 4, 0, 2, 3, 1, 1, 3, 0, 4, 1, 0, 4, 1, 4, 1, 1, 4, 0, 1, 0, 0, 4, 3, 3, 1, 2, 3, 2, 3, 1, 4, 2, 4, 1, 4, 4, 3, 4, 3, 0, 0, 3, 3, 3, 1, 3, 3, 0, 4, 4, 0, 2, 4, 1, 4, 2, 2, 4, 1, 1, 1, 0, 2, 3, 1, 3, 0, 4, 3, 0, 0, 2, 0, 0, 2, 3, 0, 3, 3, 0, 1, 1, 4, 4, 3, 3, 3, 4, 2, 2, 4, 3, 3, 0, 2, 0, 2, 4, 0, 2, 4, 3, 3, 1, 3, 1, 2, 0, 1, 0, 3, 4, 0, 3, 4, 2, 2, 3, 2, 1, 0, 1, 1, 1, 2, 4, 3, 3, 1, 2, 3, 4, 1, 0, 0, 1, 1, 0, 1, 4, 0, 4, 3, 2, 4, 2, 1, 4, 2, 3, 4, 3, 3, 0, 2, 2, 2, 2, 3, 3, 1, 1, 0, 3, 3, 3, 2, 1, 2, 1, 2, 0, 3, 2, 4, 2, 0, 3, 4, 3, 0, 0, 0, 1, 0, 4, 3, 2, 0, 2, 0, 2, 3, 3, 4, 0, 4, 2, 1, 2, 0, 1, 2, 3, 2, 4, 3, 0, 0, 1, 1, 4, 1, 0, 1, 1, 2, 1, 3, 3, 2, 3, 4, 1, 3, 1, 0, 3, 3, 1, 3, 1, 4, 3, 1, 0, 0, 3, 1, 4, 4, 0, 4, 0, 3, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 3, 1, 2, 4, 1, 1, 0, 1, 3, 0, 0, 0, 1, 2, 4, 3, 0, 3, 1, 2, 3, 3, 1, 0, 0, 4, 2, 2, 4, 1, 0, 4, 1, 3, 4, 1, 2, 3, 3, 2, 1, 3, 1, 4, 0, 0, 4, 2, 1, 3, 2, 0, 1, 2, 1, 2, 3, 3, 2, 4, 4, 1, 2, 2, 4, 4, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 4, 2, 3, 3, 1, 4, 3, 0, 1, 2, 3, 1, 0, 3, 0, 1, 1, 3, 1, 1, 3, 4, 2, 3, 2, 0, 4, 3, 4, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 3, 3, 4, 1, 0, 2, 0, 1]
pubkeycol1561 = [0, 0, 0, 4, 4, 4, 3, 1, 1, 0, 1, 4, 1, 0, 2, 4, 0, 1, 1, 2, 3, 1, 3, 1, 0, 0, 2, 0, 0, 3, 4, 1, 0, 0, 1, 0, 2, 2, 2, 0, 3, 0, 0, 4, 1, 0, 3, 3, 2, 2, 3, 3, 2, 4, 4, 3, 4, 4, 1, 1, 2, 4, 3, 4, 1, 0, 0, 3, 3, 1, 4, 3, 3, 1, 0, 2, 4, 4, 0, 0, 4, 0, 4, 2, 4, 4, 4, 0, 0, 4, 2, 1, 2, 3, 1, 3, 3, 1, 2, 0, 4, 0, 3, 3, 0, 2, 2, 2, 3, 1, 3, 4, 0, 4, 2, 0, 3, 2, 1, 2, 0, 3, 4, 3, 1, 3, 2, 2, 1, 2, 2, 4, 2, 4, 0, 1, 4, 4, 0, 3, 1, 3, 3, 2, 2, 0, 3, 0, 0, 3, 1, 3, 1, 1, 4, 1, 1, 4, 2, 4, 3, 4, 0, 3, 3, 4, 4, 1, 3, 4, 4, 0, 1, 4, 4, 0, 2, 4, 1, 4, 4, 4, 4, 2, 1, 2, 3, 3, 0, 3, 1, 1, 3, 3, 4, 4, 1, 2, 4, 2, 3, 0, 2, 4, 4, 0, 3, 4, 0, 3, 3, 3, 1, 1, 4, 2, 3, 3, 0, 3, 2, 1, 2, 4, 1, 3, 2, 2, 2, 0, 0, 0, 4, 1, 3, 4, 0, 2, 4, 0, 1, 1, 2, 0, 4, 1, 1, 0, 0, 2, 3, 3, 1, 1, 2, 2, 2, 1, 0, 1, 4, 2, 0, 4, 2, 1, 4, 0, 3, 4, 3, 4, 1, 4, 4, 3, 0, 3, 2, 2, 2, 2, 1, 1, 1, 0, 0, 4, 2, 4, 0, 3, 0, 1, 4, 4, 4, 2, 3, 1, 4, 4, 2, 3, 4, 1, 1, 0, 1, 0, 3, 4, 2, 0, 3, 3, 1, 1, 4, 0, 4, 3, 3, 4, 1, 4, 3, 3, 1, 0, 0, 0, 4, 4, 1, 0, 3, 0, 3, 4, 0, 3, 3, 4, 3, 1, 3, 1, 3, 4, 4, 4, 4, 3, 1, 3, 2, 1, 0, 3, 0, 4, 2, 2, 0, 2, 2, 3, 1, 0, 3, 0, 2, 0, 4, 1, 0, 1, 0, 0, 2, 2, 3, 2, 4, 3, 2, 3, 3, 2, 3, 4, 0, 1, 4, 2, 3, 0, 2, 4, 0, 1, 1, 1, 2, 4, 2, 0, 3, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 4, 3, 0, 1, 1, 3, 4, 1, 1, 1, 2, 2, 0, 1, 0, 4, 3, 1, 0, 1, 0, 4, 3, 2, 4, 1, 2, 3, 1, 4, 1, 2, 3, 0, 3, 2, 4, 2, 1, 1, 1, 4, 0, 0, 1, 4, 0, 0, 2, 2, 0, 1, 2, 4, 1, 4, 3, 3, 0, 3, 1, 0, 3, 1, 0, 1, 4, 3, 1, 3, 3, 4, 1, 2, 3, 2, 2, 1, 1, 3]
pubkeycol1562 = [4, 2, 2, 1, 0, 3, 2, 4, 3, 4, 3, 2, 4, 3, 2, 2, 1, 2, 0, 2, 1, 4, 3, 3, 3, 4, 0, 4, 4, 4, 0, 1, 0, 2, 1, 4, 0, 0, 3, 4, 1, 3, 0, 1, 2, 2, 0, 3, 3, 1, 3, 2, 4, 4, 4, 2, 2, 2, 3, 4, 2, 4, 3, 1, 0, 3, 2, 2, 4, 3, 1, 3, 0, 2, 4, 0, 3, 0, 4, 3, 1, 2, 0, 4, 0, 1, 0, 0, 2, 0, 2, 4, 2, 2, 3, 4, 2, 3, 2, 4, 3, 2, 3, 4, 3, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 4, 3, 2, 1, 1, 0, 3, 0, 1, 1, 2, 2, 1, 4, 0, 1, 4, 2, 4, 1, 0, 3, 1, 0, 4, 3, 2, 4, 0, 3, 0, 2, 0, 4, 0, 4, 4, 3, 1, 2, 1, 1, 3, 3, 3, 4, 0, 1, 0, 4, 1, 2, 0, 3, 2, 4, 0, 3, 4, 0, 3, 2, 3, 1, 4, 3, 1, 0, 4, 0, 2, 0, 3, 1, 1, 3, 2, 4, 3, 3, 4, 1, 2, 1, 3, 4, 2, 2, 2, 2, 0, 3, 0, 0, 3, 3, 0, 0, 3, 4, 3, 3, 3, 1, 0, 3, 2, 0, 3, 0, 2, 1, 2, 4, 2, 2, 1, 3, 1, 3, 2, 3, 1, 3, 0, 2, 0, 0, 0, 3, 0, 0, 3, 1, 3, 2, 1, 3, 1, 1, 1, 3, 1, 1, 2, 0, 3, 4, 1, 1, 4, 2, 2, 4, 2, 2, 1, 2, 2, 4, 0, 2, 4, 4, 1, 2, 1, 4, 0, 2, 3, 0, 3, 4, 3, 2, 0, 1, 4, 3, 4, 0, 4, 4, 4, 3, 0, 0, 2, 1, 1, 1, 1, 0, 3, 4, 1, 2, 1, 0, 3, 1, 4, 1, 1, 1, 2, 4, 4, 0, 1, 0, 1, 1, 1, 3, 4, 0, 1, 0, 0, 1, 3, 2, 3, 2, 3, 4, 2, 0, 3, 1, 1, 4, 0, 3, 3, 0, 4, 0, 2, 3, 1, 3, 3, 3, 0, 0, 4, 2, 2, 1, 1, 0, 0, 2, 2, 4, 4, 3, 2, 2, 0, 4, 0, 3, 4, 4, 4, 3, 0, 1, 1, 4, 4, 1, 0, 4, 1, 2, 0, 3, 0, 4, 3, 4, 4, 0, 0, 0, 3, 4, 1, 3, 1, 2, 1, 0, 0, 2, 4, 2, 0, 3, 4, 3, 0, 1, 2, 1, 2, 4, 0, 0, 2, 1, 0, 3, 2, 4, 2, 3, 3, 2, 3, 4, 1, 1, 1, 4, 3, 1, 2, 2, 3, 1, 1, 2, 3, 2, 2, 3, 4, 2, 4, 1, 0, 0, 3, 4, 1, 1, 0, 4, 4, 0, 4, 0, 4, 3, 1, 3, 0, 4, 1, 1, 4, 4, 4, 4, 2, 1, 0, 2, 2, 2, 2, 3, 1, 0, 2, 2, 4, 1]
pubkeycol1563 = [4, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 3, 3, 4, 4, 1, 4, 1, 1, 0, 4, 0, 4, 0, 0, 1, 4, 2, 1, 0, 3, 3, 4, 2, 3, 0, 4, 0, 2, 4, 3, 4, 2, 1, 4, 4, 1, 4, 3, 0, 3, 4, 4, 0, 4, 2, 4, 3, 0, 2, 3, 0, 0, 2, 1, 2, 1, 3, 1, 1, 1, 4, 3, 0, 0, 1, 2, 0, 0, 3, 4, 4, 0, 1, 2, 1, 1, 3, 4, 2, 3, 0, 1, 1, 3, 2, 3, 0, 0, 2, 3, 0, 0, 1, 0, 2, 2, 4, 3, 3, 4, 3, 0, 1, 4, 1, 0, 4, 4, 2, 1, 3, 4, 0, 0, 0, 3, 2, 4, 3, 2, 4, 0, 0, 0, 1, 1, 4, 1, 4, 4, 1, 1, 1, 2, 1, 4, 3, 4, 1, 0, 4, 4, 2, 2, 1, 2, 4, 3, 0, 0, 0, 0, 4, 1, 4, 0, 3, 1, 1, 1, 0, 3, 2, 0, 2, 1, 2, 4, 0, 3, 4, 2, 0, 0, 4, 3, 0, 2, 3, 0, 2, 4, 0, 2, 0, 3, 2, 0, 1, 4, 2, 4, 2, 3, 2, 0, 4, 3, 1, 4, 0, 1, 2, 3, 0, 1, 3, 1, 4, 0, 3, 4, 3, 3, 3, 1, 1, 1, 3, 2, 2, 4, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 4, 4, 1, 1, 4, 0, 3, 4, 2, 4, 0, 3, 0, 3, 3, 3, 2, 2, 3, 3, 0, 1, 3, 3, 1, 2, 0, 1, 1, 2, 0, 4, 4, 2, 2, 1, 1, 3, 4, 2, 4, 2, 1, 0, 1, 0, 4, 2, 3, 1, 0, 4, 0, 0, 2, 2, 1, 1, 4, 4, 0, 0, 3, 3, 2, 0, 3, 1, 3, 4, 4, 2, 4, 4, 0, 0, 1, 1, 4, 1, 3, 1, 2, 2, 4, 4, 2, 1, 0, 1, 4, 0, 4, 1, 0, 4, 4, 2, 2, 3, 3, 2, 1, 1, 4, 1, 4, 2, 0, 3, 3, 2, 0, 4, 0, 2, 3, 0, 2, 3, 4, 3, 3, 3, 3, 1, 0, 0, 3, 2, 2, 2, 2, 3, 3, 4, 0, 3, 1, 3, 0, 1, 2, 0, 3, 4, 3, 0, 4, 0, 2, 3, 0, 4, 0, 2, 2, 1, 3, 4, 3, 2, 4, 0, 2, 0, 4, 3, 4, 4, 1, 3, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 3, 4, 4, 2, 2, 3, 2, 3, 1, 4, 3, 1, 0, 3, 4, 1, 3, 0, 0, 2, 0, 3, 1, 3, 3, 1, 1, 0, 0, 0, 4, 3, 1, 0, 4, 0, 2, 4, 0, 2, 1, 0, 3, 4, 0, 0, 1, 3, 0, 1, 1, 0, 1, 0, 4, 4, 2, 4, 4, 4, 1, 4, 0, 0, 4, 3, 1, 0, 3, 3, 1, 2, 2, 0, 4, 1, 2, 3, 1, 4]
pubkeycol1564 = [0, 1, 3, 2, 4, 4, 4, 1, 1, 0, 0, 2, 2, 2, 1, 4, 1, 4, 1, 4, 3, 4, 4, 0, 2, 3, 4, 4, 1, 3, 2, 3, 2, 2, 2, 0, 0, 1, 0, 4, 1, 3, 4, 1, 3, 2, 2, 1, 1, 3, 3, 1, 4, 1, 3, 4, 1, 0, 2, 3, 3, 2, 1, 1, 3, 3, 0, 2, 1, 2, 0, 2, 2, 3, 4, 2, 2, 1, 4, 3, 0, 4, 3, 2, 0, 1, 4, 0, 0, 1, 2, 0, 3, 3, 1, 1, 0, 4, 1, 4, 2, 3, 1, 2, 0, 1, 0, 1, 0, 3, 2, 2, 4, 0, 0, 2, 3, 0, 2, 4, 2, 3, 4, 3, 1, 1, 2, 2, 0, 2, 3, 0, 4, 4, 2, 4, 0, 1, 3, 3, 3, 1, 3, 3, 1, 0, 1, 0, 3, 4, 2, 2, 4, 2, 2, 1, 2, 4, 4, 0, 3, 3, 0, 0, 2, 0, 1, 3, 1, 3, 3, 4, 2, 4, 3, 2, 4, 1, 4, 0, 1, 4, 3, 3, 2, 0, 2, 2, 2, 4, 0, 1, 4, 1, 4, 4, 1, 3, 3, 4, 3, 2, 1, 1, 1, 0, 1, 2, 0, 0, 3, 3, 4, 2, 2, 2, 4, 4, 1, 1, 2, 4, 2, 3, 1, 0, 2, 3, 1, 3, 1, 1, 3, 2, 4, 3, 0, 2, 0, 4, 1, 3, 1, 1, 1, 3, 1, 4, 2, 0, 1, 3, 3, 3, 1, 1, 2, 4, 1, 1, 3, 2, 4, 4, 1, 1, 3, 1, 0, 4, 1, 1, 4, 1, 3, 1, 1, 0, 1, 3, 4, 3, 4, 0, 4, 4, 2, 4, 2, 1, 4, 4, 3, 0, 4, 4, 1, 2, 4, 4, 4, 3, 2, 2, 0, 0, 0, 3, 3, 2, 2, 2, 2, 1, 0, 3, 2, 4, 2, 1, 3, 0, 1, 0, 1, 1, 3, 1, 3, 3, 1, 4, 1, 2, 2, 3, 1, 1, 0, 1, 3, 1, 2, 2, 1, 1, 0, 3, 1, 2, 1, 1, 0, 1, 3, 0, 1, 2, 0, 0, 0, 2, 2, 3, 0, 1, 1, 2, 1, 3, 0, 2, 4, 3, 1, 0, 3, 3, 2, 0, 3, 0, 0, 2, 1, 3, 4, 3, 0, 0, 0, 2, 4, 1, 3, 1, 1, 4, 3, 2, 3, 4, 4, 3, 1, 4, 1, 4, 2, 2, 4, 1, 2, 0, 1, 4, 3, 2, 3, 2, 2, 3, 0, 4, 1, 3, 2, 2, 2, 3, 4, 2, 4, 4, 0, 0, 1, 4, 3, 4, 4, 4, 2, 2, 0, 3, 1, 4, 3, 2, 3, 0, 3, 0, 0, 1, 4, 4, 1, 4, 2, 3, 2, 4, 1, 2, 4, 3, 1, 2, 0, 1, 1, 1, 4, 3, 0, 1, 1, 1, 4, 4, 1, 2, 0, 1, 1, 2, 2, 1, 2, 4, 3, 0, 0, 3, 3, 4, 4, 2, 3, 1, 2, 4, 2]
pubkeycol1565 = [3, 1, 0, 2, 4, 2, 3, 0, 4, 0, 4, 4, 2, 3, 1, 2, 3, 3, 4, 0, 0, 3, 4, 2, 3, 4, 2, 3, 3, 3, 2, 3, 4, 1, 1, 4, 3, 0, 2, 0, 0, 3, 1, 3, 1, 4, 4, 1, 4, 2, 3, 1, 1, 3, 3, 1, 4, 4, 1, 3, 1, 1, 0, 0, 4, 2, 4, 1, 0, 4, 1, 3, 4, 2, 3, 1, 3, 2, 0, 2, 2, 0, 3, 1, 3, 4, 3, 4, 1, 0, 0, 1, 4, 4, 1, 4, 1, 2, 3, 0, 0, 0, 1, 4, 1, 4, 2, 0, 3, 2, 0, 0, 2, 1, 2, 3, 3, 3, 0, 3, 3, 0, 1, 2, 3, 4, 2, 1, 2, 4, 0, 2, 1, 3, 1, 2, 3, 3, 4, 4, 3, 4, 4, 3, 1, 0, 3, 2, 4, 1, 3, 4, 4, 3, 1, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 1, 1, 0, 0, 1, 0, 2, 4, 3, 3, 1, 2, 3, 0, 0, 3, 4, 4, 4, 1, 1, 1, 1, 4, 1, 1, 0, 4, 4, 0, 2, 2, 1, 0, 0, 2, 0, 1, 4, 4, 0, 3, 0, 4, 2, 3, 2, 2, 4, 3, 4, 1, 2, 1, 1, 4, 4, 4, 0, 0, 0, 0, 1, 4, 2, 1, 4, 2, 2, 2, 2, 2, 4, 3, 2, 1, 0, 3, 1, 2, 1, 0, 0, 3, 2, 1, 4, 3, 0, 4, 1, 2, 1, 1, 0, 2, 2, 3, 4, 4, 1, 3, 2, 2, 2, 2, 0, 4, 0, 4, 1, 2, 3, 2, 4, 2, 2, 1, 2, 2, 4, 3, 0, 0, 1, 2, 2, 2, 3, 1, 4, 2, 1, 2, 3, 1, 0, 3, 1, 2, 2, 0, 2, 1, 3, 3, 0, 1, 0, 4, 0, 0, 3, 4, 3, 3, 3, 2, 3, 2, 3, 1, 1, 4, 4, 2, 4, 1, 1, 3, 2, 4, 1, 2, 4, 3, 0, 4, 3, 1, 2, 1, 0, 0, 1, 1, 1, 3, 1, 2, 3, 2, 1, 4, 1, 1, 4, 0, 1, 1, 0, 2, 4, 1, 3, 2, 3, 3, 1, 1, 3, 2, 0, 3, 4, 1, 4, 3, 0, 0, 0, 0, 1, 4, 4, 0, 1, 0, 2, 0, 3, 0, 4, 4, 2, 4, 4, 0, 3, 1, 1, 3, 2, 2, 4, 3, 1, 2, 1, 0, 4, 4, 3, 3, 0, 0, 4, 2, 3, 2, 1, 2, 0, 3, 2, 1, 2, 0, 3, 4, 3, 0, 1, 0, 3, 3, 0, 0, 2, 3, 1, 1, 4, 4, 4, 1, 3, 4, 4, 3, 4, 1, 4, 2, 4, 2, 0, 1, 3, 3, 0, 0, 3, 3, 3, 3, 4, 0, 1, 0, 3, 0, 2, 2, 2, 0, 0, 1, 1, 0, 3, 2, 0, 2, 2, 1, 4, 0, 0, 2, 2, 2, 0, 2, 4, 3, 1, 4, 2, 4]
pubkeycol1566 = [3, 4, 3, 0, 0, 4, 0, 2, 0, 3, 1, 0, 4, 4, 2, 3, 2, 4, 2, 1, 2, 3, 2, 1, 3, 2, 4, 3, 1, 1, 4, 0, 2, 4, 1, 4, 2, 4, 2, 4, 1, 4, 3, 3, 0, 4, 4, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 3, 3, 3, 1, 4, 1, 1, 1, 4, 1, 2, 4, 3, 1, 2, 3, 2, 2, 3, 2, 3, 2, 1, 0, 4, 1, 0, 3, 3, 4, 1, 3, 0, 2, 0, 4, 1, 3, 0, 1, 1, 3, 3, 1, 2, 4, 3, 2, 0, 1, 2, 0, 0, 3, 1, 1, 4, 4, 3, 2, 0, 3, 3, 3, 1, 0, 0, 4, 0, 2, 3, 3, 4, 2, 1, 4, 3, 1, 4, 2, 3, 0, 2, 1, 2, 0, 3, 4, 2, 1, 3, 1, 0, 1, 1, 2, 4, 3, 4, 0, 0, 1, 1, 1, 2, 2, 2, 4, 2, 0, 4, 0, 3, 2, 4, 0, 3, 2, 4, 0, 2, 0, 2, 4, 0, 0, 0, 3, 0, 1, 4, 3, 1, 4, 4, 3, 4, 3, 2, 2, 1, 0, 2, 4, 0, 2, 2, 2, 2, 3, 0, 0, 0, 0, 1, 4, 1, 2, 3, 0, 4, 4, 1, 0, 1, 4, 4, 1, 3, 1, 2, 0, 3, 4, 4, 3, 0, 2, 1, 0, 2, 2, 3, 0, 0, 2, 3, 2, 3, 1, 4, 3, 4, 3, 3, 4, 2, 3, 3, 3, 0, 1, 4, 0, 3, 0, 4, 2, 0, 3, 1, 4, 4, 0, 4, 2, 1, 4, 2, 2, 1, 3, 1, 1, 0, 1, 4, 0, 0, 4, 0, 4, 1, 0, 2, 2, 4, 4, 3, 0, 2, 1, 2, 4, 4, 0, 0, 4, 4, 1, 2, 3, 3, 4, 0, 2, 1, 2, 2, 0, 0, 1, 2, 4, 2, 1, 2, 3, 0, 0, 0, 0, 0, 2, 2, 3, 2, 1, 1, 4, 1, 2, 0, 2, 1, 0, 3, 2, 0, 0, 0, 3, 4, 1, 3, 0, 3, 1, 3, 1, 1, 3, 4, 1, 0, 1, 2, 0, 4, 2, 2, 2, 0, 1, 1, 4, 3, 3, 4, 0, 3, 2, 3, 1, 2, 2, 4, 2, 4, 1, 4, 4, 1, 0, 4, 0, 3, 2, 0, 0, 0, 2, 4, 2, 2, 0, 4, 0, 2, 0, 4, 3, 2, 3, 2, 3, 3, 4, 1, 2, 1, 3, 3, 2, 2, 0, 3, 1, 0, 0, 4, 1, 2, 1, 3, 3, 2, 2, 0, 1, 4, 4, 1, 2, 2, 3, 1, 4, 2, 3, 4, 0, 3, 2, 4, 0, 4, 0, 0, 1, 2, 4, 1, 2, 1, 2, 3, 2, 1, 0, 0, 3, 4, 2, 4, 0, 1, 0, 4, 4, 3, 4, 0, 1, 0, 0, 0, 4, 3, 3, 0, 2, 0, 3, 1, 4, 4, 3, 0, 1, 3, 0, 3, 0, 4, 4, 4, 3]
pubkeycol1567 = [3, 3, 2, 0, 0, 4, 1, 3, 3, 3, 0, 1, 0, 4, 3, 0, 3, 0, 0, 3, 0, 1, 4, 0, 1, 1, 4, 1, 0, 4, 1, 3, 2, 4, 0, 2, 2, 2, 2, 4, 4, 3, 4, 3, 4, 2, 3, 4, 1, 2, 4, 0, 3, 4, 3, 4, 0, 3, 0, 4, 4, 4, 1, 0, 3, 3, 3, 2, 0, 0, 0, 1, 4, 2, 2, 1, 2, 1, 2, 4, 1, 1, 1, 0, 0, 0, 0, 0, 3, 1, 3, 2, 0, 1, 4, 4, 3, 1, 4, 0, 2, 2, 3, 0, 4, 0, 2, 2, 4, 3, 2, 0, 3, 0, 1, 0, 2, 3, 4, 3, 3, 3, 0, 4, 3, 0, 0, 4, 2, 4, 3, 2, 1, 4, 3, 1, 2, 3, 3, 0, 2, 1, 1, 1, 4, 4, 3, 0, 2, 2, 0, 3, 4, 3, 2, 1, 1, 1, 3, 2, 0, 1, 2, 2, 0, 2, 1, 3, 1, 2, 3, 4, 3, 4, 0, 1, 4, 4, 4, 3, 3, 2, 4, 4, 1, 2, 0, 3, 0, 1, 2, 1, 1, 2, 2, 3, 3, 2, 1, 1, 4, 3, 4, 1, 2, 4, 1, 0, 0, 4, 1, 3, 0, 1, 2, 3, 3, 2, 0, 1, 0, 2, 2, 3, 4, 4, 3, 0, 4, 2, 4, 0, 3, 2, 3, 0, 4, 3, 4, 1, 4, 2, 3, 0, 4, 0, 4, 2, 4, 3, 4, 3, 4, 0, 4, 2, 4, 3, 1, 2, 1, 3, 0, 2, 0, 4, 0, 3, 3, 4, 0, 0, 0, 3, 2, 1, 3, 1, 0, 2, 3, 4, 0, 3, 2, 1, 3, 2, 0, 0, 2, 3, 1, 4, 2, 3, 0, 3, 1, 0, 0, 2, 0, 4, 2, 4, 3, 2, 2, 2, 1, 0, 2, 0, 0, 3, 2, 1, 3, 4, 3, 1, 0, 4, 3, 4, 0, 4, 3, 2, 4, 4, 1, 1, 2, 3, 2, 4, 1, 4, 2, 1, 2, 3, 2, 3, 1, 2, 0, 2, 4, 0, 4, 2, 1, 1, 4, 4, 0, 4, 1, 3, 1, 3, 1, 0, 4, 4, 2, 2, 4, 2, 0, 3, 4, 4, 2, 2, 3, 1, 1, 2, 1, 0, 4, 2, 3, 4, 2, 1, 2, 1, 3, 3, 1, 0, 4, 2, 0, 0, 0, 4, 0, 0, 4, 1, 0, 2, 4, 1, 4, 3, 3, 2, 4, 2, 0, 1, 1, 3, 0, 4, 1, 0, 0, 2, 4, 3, 0, 1, 2, 3, 3, 3, 3, 2, 4, 3, 2, 3, 4, 4, 1, 3, 3, 0, 1, 2, 4, 2, 3, 3, 2, 3, 0, 0, 3, 4, 0, 0, 4, 4, 2, 1, 2, 3, 1, 0, 1, 3, 2, 0, 2, 1, 4, 2, 0, 0, 1, 3, 4, 0, 1, 1, 0, 4, 1, 0, 1, 3, 3, 2, 0, 1, 2, 1, 4, 0, 0, 2, 0, 1, 4, 3, 1]
pubkeycol1568 = [4, 4, 3, 4, 1, 0, 2, 3, 1, 2, 0, 4, 0, 4, 1, 4, 4, 3, 3, 1, 1, 1, 0, 2, 0, 4, 1, 3, 1, 2, 4, 3, 4, 1, 1, 0, 4, 0, 4, 4, 2, 1, 4, 1, 0, 2, 3, 1, 3, 2, 4, 3, 4, 4, 0, 2, 1, 1, 0, 3, 4, 2, 1, 0, 2, 2, 4, 4, 4, 4, 2, 4, 0, 4, 0, 4, 0, 4, 3, 0, 2, 1, 4, 1, 0, 3, 1, 4, 2, 2, 1, 2, 4, 2, 1, 3, 1, 1, 3, 2, 4, 4, 3, 3, 3, 4, 2, 1, 4, 4, 3, 0, 2, 4, 1, 3, 0, 2, 3, 4, 0, 4, 1, 2, 4, 1, 2, 2, 3, 0, 3, 2, 0, 3, 1, 2, 4, 1, 4, 2, 1, 3, 4, 2, 1, 1, 0, 1, 3, 0, 0, 3, 1, 4, 0, 4, 1, 3, 1, 3, 2, 0, 4, 3, 4, 1, 3, 0, 1, 2, 3, 3, 3, 3, 0, 1, 0, 2, 3, 4, 0, 1, 2, 2, 1, 1, 1, 4, 4, 3, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 3, 0, 0, 3, 3, 3, 4, 1, 4, 2, 0, 3, 0, 2, 4, 0, 2, 4, 2, 0, 2, 0, 4, 0, 1, 2, 1, 1, 4, 2, 3, 1, 3, 1, 4, 3, 2, 2, 1, 1, 3, 1, 0, 1, 0, 2, 4, 3, 0, 0, 4, 2, 3, 2, 3, 4, 3, 4, 2, 2, 3, 1, 1, 4, 0, 3, 2, 0, 4, 0, 3, 0, 4, 2, 4, 0, 4, 2, 3, 4, 1, 1, 4, 1, 3, 1, 0, 1, 4, 1, 1, 3, 3, 4, 1, 1, 4, 1, 4, 3, 3, 1, 4, 2, 2, 2, 0, 1, 0, 4, 1, 0, 2, 3, 1, 1, 2, 0, 1, 0, 3, 2, 0, 2, 1, 0, 1, 3, 4, 3, 2, 4, 4, 4, 0, 1, 0, 0, 0, 0, 0, 3, 1, 3, 0, 0, 0, 4, 0, 4, 3, 3, 4, 4, 2, 0, 4, 4, 2, 1, 2, 1, 0, 2, 0, 4, 0, 2, 0, 0, 2, 1, 4, 4, 4, 4, 2, 3, 1, 0, 3, 2, 4, 3, 1, 1, 4, 2, 0, 1, 1, 3, 3, 4, 3, 3, 4, 3, 0, 0, 0, 1, 4, 4, 1, 0, 3, 4, 0, 0, 0, 3, 3, 1, 3, 2, 0, 4, 2, 3, 0, 4, 0, 1, 4, 2, 1, 0, 4, 3, 4, 1, 0, 1, 4, 3, 4, 0, 3, 2, 4, 3, 0, 1, 0, 3, 1, 3, 1, 3, 0, 3, 0, 1, 4, 1, 0, 3, 0, 2, 3, 0, 1, 0, 4, 4, 0, 4, 4, 0, 4, 2, 2, 1, 3, 0, 3, 4, 4, 2, 1, 4, 1, 1, 0, 3, 4, 1, 0, 0, 1, 1, 1, 1, 4, 2, 2, 2, 2, 1, 1, 3, 4, 4, 4]
pubkeycol1569 = [1, 2, 3, 3, 4, 0, 4, 1, 3, 0, 4, 2, 3, 3, 0, 3, 0, 2, 1, 2, 2, 2, 1, 4, 1, 2, 2, 4, 3, 3, 3, 2, 4, 1, 1, 0, 3, 2, 0, 4, 2, 2, 2, 4, 3, 2, 1, 4, 4, 3, 1, 3, 1, 3, 4, 0, 0, 1, 0, 1, 4, 4, 3, 3, 0, 0, 0, 0, 3, 4, 2, 4, 0, 1, 3, 1, 1, 1, 2, 1, 2, 3, 0, 4, 4, 2, 4, 1, 3, 0, 3, 4, 0, 4, 3, 1, 2, 4, 4, 1, 3, 2, 0, 4, 4, 3, 3, 0, 2, 3, 1, 1, 4, 0, 4, 0, 2, 2, 0, 3, 1, 2, 2, 4, 0, 1, 1, 4, 1, 3, 2, 3, 1, 3, 2, 1, 4, 0, 0, 2, 0, 4, 2, 0, 0, 1, 1, 2, 4, 0, 0, 3, 0, 0, 2, 3, 0, 3, 0, 4, 3, 2, 1, 0, 1, 0, 3, 2, 4, 3, 1, 1, 2, 4, 0, 1, 3, 0, 1, 2, 3, 3, 3, 3, 0, 1, 2, 3, 2, 0, 4, 0, 1, 2, 3, 2, 0, 2, 2, 0, 2, 3, 2, 3, 4, 4, 1, 2, 4, 2, 4, 1, 3, 1, 2, 2, 4, 1, 4, 3, 0, 1, 4, 1, 0, 4, 3, 2, 1, 3, 3, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 4, 0, 0, 2, 0, 0, 3, 2, 3, 0, 1, 4, 2, 4, 3, 4, 1, 3, 4, 2, 2, 2, 1, 4, 0, 1, 4, 0, 1, 1, 3, 3, 1, 2, 4, 4, 4, 1, 0, 4, 4, 2, 1, 0, 2, 3, 4, 3, 2, 2, 0, 0, 4, 1, 3, 1, 0, 0, 1, 2, 2, 4, 4, 0, 1, 3, 4, 1, 4, 4, 3, 1, 3, 3, 2, 0, 2, 0, 3, 3, 0, 4, 3, 0, 1, 1, 2, 2, 4, 2, 4, 0, 2, 0, 4, 4, 4, 4, 3, 4, 0, 4, 3, 3, 1, 2, 0, 4, 4, 3, 3, 0, 4, 2, 2, 4, 0, 4, 4, 2, 1, 2, 4, 1, 1, 3, 1, 3, 0, 1, 1, 4, 2, 1, 3, 4, 4, 0, 3, 1, 2, 1, 2, 1, 3, 2, 2, 4, 2, 1, 1, 2, 1, 3, 2, 0, 4, 0, 1, 0, 3, 0, 1, 1, 0, 4, 4, 3, 0, 0, 2, 3, 2, 0, 2, 2, 4, 1, 1, 1, 4, 4, 0, 0, 3, 4, 4, 1, 3, 3, 1, 1, 4, 3, 4, 4, 0, 1, 2, 4, 1, 1, 4, 1, 0, 4, 4, 1, 3, 0, 4, 1, 3, 1, 2, 0, 2, 2, 4, 1, 4, 3, 2, 3, 0, 0, 0, 2, 4, 1, 3, 0, 1, 3, 1, 1, 0, 3, 4, 4, 4, 0, 3, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 3, 4, 1, 1, 1, 4, 1, 3, 1, 0]
pubkeycol1570 = [3, 3, 4, 4, 3, 4, 4, 1, 2, 4, 1, 3, 3, 2, 3, 2, 3, 0, 3, 3, 4, 4, 2, 4, 3, 4, 0, 0, 2, 3, 3, 3, 1, 1, 4, 1, 2, 2, 3, 1, 0, 1, 0, 4, 0, 0, 2, 3, 1, 2, 3, 2, 4, 4, 4, 3, 1, 4, 3, 4, 0, 3, 3, 4, 3, 3, 4, 1, 3, 4, 4, 2, 2, 2, 2, 2, 3, 0, 2, 3, 2, 4, 4, 4, 2, 4, 3, 2, 3, 3, 2, 4, 3, 4, 2, 2, 3, 1, 4, 4, 2, 3, 1, 0, 1, 1, 4, 4, 0, 1, 3, 3, 2, 2, 3, 0, 4, 4, 4, 4, 2, 0, 2, 4, 2, 0, 3, 4, 2, 4, 3, 4, 2, 3, 3, 4, 3, 3, 1, 3, 2, 4, 3, 4, 1, 0, 4, 3, 2, 2, 3, 3, 1, 3, 2, 4, 4, 3, 2, 1, 4, 3, 0, 2, 2, 0, 0, 3, 0, 3, 2, 1, 0, 4, 0, 0, 2, 1, 3, 4, 3, 4, 1, 0, 3, 0, 3, 4, 0, 3, 1, 4, 4, 3, 3, 2, 4, 1, 3, 0, 3, 0, 1, 4, 4, 4, 3, 3, 3, 0, 4, 3, 4, 0, 0, 1, 3, 3, 4, 3, 2, 4, 1, 2, 0, 4, 0, 2, 0, 3, 4, 0, 3, 2, 0, 4, 2, 2, 0, 0, 4, 3, 4, 0, 3, 2, 2, 2, 2, 4, 0, 0, 1, 2, 0, 4, 4, 3, 0, 0, 4, 1, 4, 1, 1, 3, 4, 4, 2, 1, 3, 0, 1, 0, 3, 4, 0, 3, 2, 2, 2, 3, 2, 4, 0, 0, 1, 3, 3, 0, 0, 4, 0, 0, 0, 1, 2, 0, 0, 4, 3, 2, 1, 4, 4, 4, 0, 4, 4, 0, 4, 0, 2, 2, 2, 4, 2, 2, 2, 0, 2, 3, 0, 4, 3, 1, 2, 4, 1, 0, 4, 2, 4, 4, 2, 0, 1, 3, 0, 1, 2, 4, 1, 0, 0, 2, 2, 2, 0, 0, 1, 3, 0, 4, 0, 2, 2, 3, 0, 2, 1, 3, 4, 0, 1, 2, 0, 1, 2, 0, 4, 0, 4, 3, 4, 4, 3, 4, 1, 2, 0, 1, 2, 3, 4, 1, 4, 1, 4, 1, 1, 3, 2, 1, 4, 4, 0, 3, 1, 0, 1, 0, 1, 0, 3, 3, 1, 2, 1, 1, 1, 3, 0, 1, 0, 3, 4, 2, 4, 0, 4, 0, 3, 2, 1, 0, 3, 0, 2, 1, 4, 2, 3, 3, 0, 3, 3, 3, 3, 0, 1, 3, 2, 1, 0, 1, 2, 4, 3, 2, 1, 3, 0, 1, 1, 2, 2, 0, 0, 3, 1, 2, 3, 1, 0, 0, 1, 0, 3, 1, 3, 0, 0, 4, 0, 1, 3, 3, 3, 0, 2, 1, 2, 2, 3, 2, 1, 1, 1, 0, 1, 4, 3, 1, 3, 2, 4, 2, 2, 2, 2, 0, 2, 4, 0]
pubkeycol1571 = [1, 0, 3, 0, 1, 4, 2, 0, 2, 1, 1, 3, 4, 1, 2, 1, 4, 1, 1, 0, 2, 4, 3, 0, 0, 0, 0, 3, 3, 4, 2, 3, 3, 0, 1, 3, 0, 1, 2, 3, 4, 2, 0, 1, 2, 4, 4, 2, 1, 1, 1, 3, 3, 3, 4, 3, 2, 2, 4, 3, 4, 4, 0, 0, 4, 1, 4, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 4, 0, 0, 3, 3, 2, 1, 2, 4, 4, 2, 0, 2, 0, 3, 3, 3, 3, 4, 4, 1, 0, 3, 0, 4, 4, 1, 1, 4, 1, 3, 1, 1, 3, 0, 4, 2, 3, 1, 4, 0, 1, 1, 4, 2, 3, 0, 0, 3, 1, 4, 1, 1, 3, 0, 2, 1, 4, 0, 0, 0, 0, 2, 3, 0, 3, 0, 2, 0, 1, 3, 4, 0, 1, 1, 2, 1, 4, 3, 0, 0, 1, 4, 2, 1, 4, 4, 3, 0, 0, 4, 4, 1, 3, 4, 3, 0, 4, 2, 4, 0, 4, 2, 3, 0, 0, 0, 2, 0, 3, 0, 0, 2, 3, 0, 3, 2, 1, 3, 3, 1, 0, 4, 1, 4, 3, 3, 2, 4, 1, 1, 4, 4, 2, 2, 0, 1, 4, 1, 4, 3, 3, 3, 1, 2, 3, 0, 4, 1, 3, 0, 0, 0, 2, 3, 1, 0, 4, 1, 2, 0, 4, 4, 3, 3, 1, 3, 3, 0, 0, 4, 0, 4, 3, 0, 3, 2, 1, 3, 3, 1, 2, 1, 2, 1, 2, 4, 3, 2, 4, 4, 2, 0, 0, 4, 2, 0, 3, 1, 1, 1, 1, 1, 4, 1, 4, 3, 2, 2, 4, 4, 1, 1, 0, 1, 4, 3, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 3, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 4, 0, 2, 1, 1, 1, 2, 4, 4, 3, 1, 3, 2, 1, 2, 1, 4, 4, 1, 0, 3, 4, 1, 2, 3, 0, 0, 1, 4, 1, 2, 0, 3, 1, 2, 3, 1, 3, 2, 4, 4, 4, 1, 0, 1, 1, 2, 0, 4, 2, 4, 2, 4, 1, 2, 0, 2, 3, 0, 0, 3, 3, 3, 3, 2, 2, 2, 4, 4, 3, 2, 4, 1, 2, 0, 0, 2, 3, 3, 3, 2, 0, 1, 3, 4, 4, 4, 0, 0, 1, 2, 3, 0, 3, 4, 4, 1, 2, 4, 1, 4, 3, 4, 3, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 3, 0, 0, 3, 0, 0, 4, 0, 3, 4, 1, 3, 2, 1, 4, 0, 3, 4, 0, 0, 3, 3, 1, 4, 1, 2, 1, 3, 1, 3, 2, 3, 3, 2, 4, 3, 3, 0, 3, 4, 2, 1, 0, 2, 1, 4, 4, 4, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 3, 2, 3, 3, 2, 4, 3, 0, 0, 4, 3, 1, 1, 4, 0]
pubkeycol1572 = [1, 1, 4, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 3, 3, 2, 4, 1, 4, 3, 4, 1, 3, 1, 3, 4, 3, 3, 0, 1, 4, 4, 4, 2, 4, 1, 1, 4, 0, 3, 4, 1, 2, 4, 1, 0, 2, 1, 2, 2, 2, 3, 1, 0, 4, 3, 2, 4, 2, 1, 4, 3, 1, 3, 4, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 4, 0, 2, 2, 4, 4, 2, 3, 4, 1, 2, 3, 4, 3, 3, 0, 1, 2, 4, 1, 0, 2, 4, 2, 1, 1, 2, 1, 2, 0, 2, 1, 3, 3, 3, 4, 0, 0, 1, 1, 3, 3, 2, 3, 1, 2, 1, 1, 2, 1, 4, 4, 4, 3, 2, 3, 4, 2, 2, 2, 0, 0, 2, 1, 1, 3, 4, 2, 2, 2, 4, 3, 4, 0, 3, 3, 1, 3, 2, 1, 3, 1, 1, 3, 2, 3, 0, 1, 4, 3, 0, 0, 0, 1, 1, 2, 4, 0, 2, 4, 3, 2, 3, 3, 3, 2, 4, 3, 2, 2, 3, 4, 2, 0, 3, 2, 1, 3, 4, 2, 4, 1, 4, 2, 4, 0, 3, 4, 3, 1, 4, 4, 3, 2, 2, 2, 3, 1, 1, 2, 2, 3, 0, 3, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 3, 1, 1, 4, 1, 1, 3, 3, 0, 2, 1, 4, 3, 2, 0, 2, 4, 0, 1, 0, 4, 0, 3, 4, 4, 0, 1, 2, 2, 2, 2, 4, 3, 1, 1, 2, 4, 0, 0, 3, 4, 1, 2, 3, 0, 2, 2, 3, 1, 4, 2, 1, 1, 0, 1, 3, 2, 0, 4, 2, 0, 2, 1, 3, 4, 3, 3, 1, 4, 0, 0, 2, 2, 0, 4, 4, 4, 2, 2, 2, 3, 4, 3, 3, 4, 4, 3, 4, 2, 3, 3, 0, 3, 0, 0, 1, 0, 3, 1, 4, 1, 2, 4, 1, 0, 2, 0, 2, 2, 2, 3, 2, 1, 2, 4, 2, 4, 3, 0, 3, 2, 0, 1, 3, 0, 1, 3, 4, 0, 1, 0, 4, 0, 3, 0, 1, 4, 1, 4, 4, 1, 4, 3, 2, 1, 2, 4, 1, 4, 2, 4, 0, 1, 4, 4, 3, 3, 1, 2, 0, 4, 3, 0, 0, 0, 0, 4, 0, 0, 1, 3, 3, 4, 0, 3, 4, 4, 2, 2, 1, 4, 4, 2, 3, 3, 4, 4, 0, 2, 2, 1, 2, 1, 2, 1, 2, 3, 2, 2, 4, 3, 1, 4, 4, 0, 4, 1, 2, 4, 0, 3, 0, 4, 4, 1, 3, 4, 0, 4, 1, 1, 1, 4, 2, 3, 4, 4, 0, 4, 0, 1, 3, 4, 3, 3, 3, 2, 4, 2, 2, 3, 2, 3, 1, 1, 3, 0, 2, 1, 1, 4, 0, 3, 2, 2, 4, 2, 3, 1, 4, 2, 3, 0, 1, 2, 0, 4, 2, 2, 0, 1, 4, 2]
pubkeycol1573 = [3, 1, 0, 0, 3, 1, 0, 3, 4, 4, 0, 4, 2, 4, 3, 2, 2, 1, 1, 3, 4, 2, 1, 3, 0, 0, 4, 0, 2, 4, 0, 2, 4, 4, 0, 3, 2, 0, 1, 4, 3, 3, 2, 4, 2, 2, 4, 3, 4, 4, 3, 0, 2, 2, 2, 0, 2, 3, 3, 3, 2, 3, 4, 4, 2, 0, 4, 3, 0, 2, 1, 1, 2, 4, 0, 4, 4, 2, 4, 0, 3, 1, 1, 1, 0, 2, 2, 0, 0, 4, 3, 0, 0, 0, 4, 3, 2, 3, 4, 4, 0, 3, 1, 4, 1, 1, 1, 3, 2, 3, 4, 4, 4, 2, 4, 4, 1, 3, 0, 1, 0, 3, 0, 2, 0, 4, 2, 1, 3, 0, 1, 3, 4, 4, 0, 3, 1, 0, 2, 0, 1, 3, 2, 4, 0, 1, 3, 1, 4, 1, 2, 1, 4, 3, 3, 4, 0, 0, 2, 3, 0, 4, 0, 3, 3, 2, 4, 2, 2, 1, 3, 3, 0, 2, 2, 4, 2, 0, 4, 3, 4, 1, 0, 3, 3, 1, 1, 3, 0, 1, 4, 0, 0, 2, 3, 4, 2, 3, 4, 1, 1, 3, 2, 0, 4, 1, 3, 1, 4, 3, 1, 0, 4, 1, 4, 4, 3, 3, 2, 4, 3, 2, 0, 0, 3, 3, 1, 4, 4, 3, 3, 0, 0, 3, 0, 1, 0, 0, 4, 1, 0, 2, 0, 4, 3, 2, 1, 1, 0, 0, 3, 4, 0, 3, 4, 3, 1, 3, 3, 1, 2, 0, 3, 1, 2, 1, 2, 4, 1, 1, 2, 3, 3, 0, 3, 1, 1, 3, 0, 1, 1, 4, 1, 1, 2, 4, 2, 4, 4, 3, 1, 1, 0, 3, 0, 1, 2, 1, 0, 0, 2, 4, 1, 4, 4, 2, 0, 1, 2, 0, 0, 1, 3, 2, 0, 0, 0, 0, 3, 3, 1, 0, 4, 4, 1, 0, 1, 4, 3, 4, 4, 0, 1, 1, 0, 1, 1, 4, 4, 3, 1, 4, 4, 0, 1, 3, 1, 0, 0, 3, 3, 4, 2, 3, 2, 0, 3, 3, 0, 0, 0, 2, 2, 1, 3, 2, 3, 4, 1, 1, 2, 3, 0, 2, 0, 1, 0, 3, 0, 4, 0, 4, 1, 1, 0, 3, 2, 0, 1, 1, 4, 1, 0, 4, 4, 2, 1, 1, 3, 3, 0, 4, 3, 2, 3, 4, 0, 2, 1, 3, 4, 3, 4, 4, 1, 2, 4, 1, 4, 4, 0, 4, 2, 4, 3, 1, 0, 2, 2, 3, 1, 0, 3, 2, 3, 0, 2, 2, 4, 2, 4, 4, 4, 3, 4, 4, 2, 2, 0, 0, 2, 1, 4, 4, 2, 2, 3, 4, 2, 1, 2, 0, 4, 1, 1, 3, 4, 2, 2, 3, 0, 3, 2, 4, 3, 4, 4, 1, 1, 1, 4, 0, 4, 3, 2, 1, 2, 0, 2, 3, 3, 3, 2, 4, 3, 0, 3, 0, 1, 1, 0, 1, 0, 2, 3]
pubkeycol1574 = [0, 4, 0, 3, 2, 4, 3, 1, 4, 2, 0, 2, 2, 4, 1, 4, 0, 3, 1, 1, 2, 3, 2, 0, 3, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 3, 4, 4, 3, 1, 0, 2, 1, 0, 2, 3, 2, 2, 2, 4, 0, 0, 4, 3, 4, 4, 1, 4, 4, 3, 0, 0, 3, 1, 0, 2, 2, 1, 2, 0, 2, 4, 1, 4, 4, 2, 2, 2, 1, 3, 2, 0, 3, 1, 4, 3, 2, 1, 2, 3, 2, 4, 3, 3, 3, 0, 3, 0, 3, 1, 2, 0, 3, 2, 4, 4, 1, 3, 4, 4, 0, 1, 0, 1, 3, 4, 1, 2, 3, 0, 0, 4, 1, 1, 4, 4, 2, 4, 3, 0, 0, 1, 1, 3, 2, 4, 2, 0, 0, 2, 3, 2, 0, 0, 0, 4, 4, 0, 0, 1, 0, 4, 2, 2, 4, 3, 1, 1, 0, 0, 2, 1, 0, 3, 3, 3, 3, 1, 2, 1, 0, 1, 2, 2, 2, 3, 3, 2, 3, 4, 3, 0, 4, 2, 4, 1, 3, 0, 3, 0, 2, 4, 3, 4, 0, 0, 4, 4, 0, 3, 0, 3, 3, 1, 4, 3, 4, 1, 3, 0, 2, 3, 2, 0, 1, 1, 3, 2, 4, 2, 3, 3, 4, 3, 0, 4, 0, 2, 1, 1, 2, 1, 2, 4, 1, 3, 3, 0, 0, 3, 3, 0, 1, 2, 1, 1, 3, 2, 2, 1, 0, 4, 1, 3, 2, 3, 1, 1, 0, 4, 3, 1, 1, 0, 0, 0, 4, 2, 0, 4, 2, 1, 1, 1, 4, 1, 3, 0, 2, 1, 1, 2, 1, 2, 0, 1, 3, 4, 0, 0, 4, 3, 2, 0, 4, 3, 1, 4, 1, 3, 0, 1, 2, 2, 3, 2, 3, 2, 2, 1, 3, 3, 4, 1, 3, 0, 3, 3, 0, 2, 4, 1, 4, 1, 2, 0, 1, 4, 1, 2, 1, 2, 2, 1, 0, 1, 0, 3, 3, 0, 1, 3, 0, 2, 1, 4, 3, 1, 0, 2, 0, 0, 3, 1, 1, 0, 3, 0, 3, 1, 3, 4, 0, 1, 3, 0, 1, 4, 3, 4, 0, 0, 4, 3, 0, 0, 4, 0, 2, 0, 3, 0, 4, 4, 1, 4, 0, 0, 1, 2, 2, 0, 3, 3, 0, 4, 1, 0, 1, 4, 3, 2, 1, 0, 3, 2, 2, 4, 3, 1, 3, 0, 3, 3, 4, 4, 1, 3, 2, 1, 0, 2, 0, 3, 0, 2, 3, 0, 4, 2, 4, 3, 3, 0, 3, 4, 3, 0, 4, 3, 0, 3, 4, 2, 0, 1, 1, 1, 2, 2, 1, 4, 4, 1, 0, 4, 1, 0, 0, 1, 0, 0, 1, 4, 2, 3, 4, 4, 1, 4, 4, 2, 2, 3, 2, 3, 2, 0, 4, 4, 4, 0, 4, 4, 1, 1, 1, 4, 3, 2, 3, 3, 1, 4, 1, 0, 3, 0, 1, 3, 4, 4, 3, 1, 1]
pubkeycol1575 = [3, 3, 1, 4, 4, 4, 3, 4, 0, 4, 1, 0, 4, 1, 4, 4, 2, 4, 4, 1, 2, 4, 3, 4, 3, 4, 3, 2, 1, 1, 2, 2, 0, 3, 3, 2, 2, 3, 1, 3, 0, 0, 1, 4, 4, 4, 2, 1, 0, 0, 2, 2, 0, 3, 1, 3, 1, 2, 3, 1, 2, 2, 4, 0, 0, 3, 2, 1, 0, 0, 0, 1, 2, 0, 0, 4, 1, 3, 3, 3, 0, 3, 4, 3, 2, 1, 2, 0, 1, 2, 0, 3, 4, 2, 4, 0, 0, 1, 0, 4, 0, 2, 3, 3, 3, 4, 1, 2, 2, 4, 4, 4, 2, 3, 1, 2, 3, 0, 0, 4, 4, 3, 3, 3, 4, 2, 4, 1, 0, 2, 0, 0, 4, 2, 3, 2, 3, 4, 4, 4, 1, 4, 4, 1, 3, 0, 1, 2, 4, 1, 0, 2, 0, 4, 0, 4, 2, 2, 0, 3, 1, 3, 3, 1, 4, 0, 0, 3, 3, 2, 2, 3, 4, 1, 3, 4, 2, 0, 1, 2, 2, 2, 0, 3, 1, 2, 4, 0, 1, 0, 3, 1, 1, 3, 3, 3, 4, 3, 3, 4, 1, 1, 2, 2, 2, 4, 4, 1, 3, 2, 4, 3, 4, 4, 1, 0, 0, 2, 3, 0, 0, 3, 0, 2, 4, 3, 1, 3, 2, 2, 2, 4, 4, 0, 2, 4, 1, 1, 1, 1, 0, 3, 0, 1, 2, 2, 2, 4, 4, 0, 4, 1, 0, 2, 0, 3, 1, 2, 1, 2, 2, 0, 4, 2, 0, 1, 4, 2, 1, 0, 3, 2, 3, 4, 1, 2, 4, 3, 0, 2, 1, 3, 2, 0, 0, 1, 4, 0, 4, 1, 3, 0, 4, 3, 4, 2, 3, 3, 2, 2, 3, 3, 0, 3, 1, 1, 4, 4, 3, 1, 4, 3, 3, 4, 2, 1, 2, 1, 3, 4, 0, 0, 2, 3, 2, 1, 3, 4, 1, 2, 4, 0, 1, 0, 0, 1, 2, 0, 0, 3, 3, 0, 4, 2, 1, 4, 2, 2, 2, 4, 3, 2, 4, 3, 0, 1, 2, 2, 4, 1, 2, 3, 3, 1, 0, 3, 2, 4, 0, 2, 4, 0, 2, 4, 3, 3, 3, 2, 2, 2, 2, 4, 2, 0, 4, 2, 4, 2, 3, 1, 3, 3, 4, 4, 3, 1, 4, 4, 2, 4, 1, 0, 0, 1, 0, 1, 3, 0, 1, 0, 0, 0, 1, 0, 3, 2, 2, 3, 0, 2, 0, 3, 2, 4, 3, 0, 0, 1, 4, 4, 1, 3, 4, 2, 3, 4, 2, 0, 3, 0, 4, 1, 2, 3, 1, 4, 0, 0, 4, 0, 1, 3, 4, 1, 2, 4, 1, 2, 1, 4, 3, 1, 3, 2, 3, 2, 0, 2, 1, 2, 0, 3, 2, 2, 1, 4, 2, 1, 1, 1, 2, 0, 2, 3, 3, 0, 3, 1, 3, 2, 4, 4, 4, 0, 3, 2, 1, 0, 2, 1, 1, 4, 3, 1, 2]
pubkeycol1576 = [3, 3, 0, 4, 3, 1, 2, 3, 4, 0, 2, 2, 0, 2, 0, 0, 0, 3, 2, 4, 4, 4, 3, 1, 4, 1, 4, 1, 2, 0, 2, 3, 4, 1, 3, 3, 4, 0, 0, 3, 3, 4, 1, 1, 4, 0, 1, 3, 3, 4, 1, 0, 2, 2, 4, 3, 0, 3, 3, 3, 3, 2, 0, 1, 2, 4, 1, 2, 3, 3, 2, 2, 1, 4, 0, 1, 0, 4, 2, 2, 4, 1, 2, 0, 0, 4, 3, 1, 4, 1, 1, 1, 4, 2, 1, 2, 4, 1, 0, 1, 3, 0, 1, 2, 3, 3, 1, 0, 3, 0, 3, 1, 1, 2, 4, 2, 0, 0, 4, 2, 3, 4, 0, 1, 2, 1, 1, 2, 3, 2, 2, 3, 0, 1, 2, 4, 1, 4, 2, 3, 2, 3, 2, 3, 3, 0, 4, 2, 4, 0, 4, 4, 3, 3, 1, 2, 4, 4, 0, 0, 4, 4, 2, 2, 1, 2, 0, 4, 1, 3, 1, 3, 3, 0, 4, 1, 0, 3, 4, 2, 2, 4, 0, 0, 4, 3, 0, 0, 2, 4, 2, 2, 1, 2, 4, 4, 4, 2, 2, 3, 2, 0, 3, 4, 3, 1, 4, 0, 0, 2, 4, 4, 4, 3, 0, 0, 3, 1, 2, 2, 1, 4, 2, 3, 4, 1, 3, 4, 4, 4, 0, 1, 3, 4, 2, 2, 0, 4, 1, 3, 2, 0, 0, 3, 4, 4, 3, 3, 2, 2, 1, 4, 1, 4, 3, 1, 0, 2, 4, 4, 4, 0, 4, 3, 4, 0, 0, 4, 0, 1, 1, 2, 3, 2, 4, 2, 4, 4, 2, 1, 3, 1, 0, 3, 4, 3, 2, 1, 2, 1, 1, 4, 0, 0, 3, 2, 3, 2, 1, 4, 2, 1, 0, 3, 4, 2, 3, 0, 0, 3, 4, 0, 0, 3, 2, 4, 4, 0, 4, 0, 0, 2, 3, 1, 0, 2, 0, 3, 0, 3, 1, 3, 4, 3, 4, 1, 3, 0, 4, 4, 4, 2, 0, 3, 0, 4, 1, 4, 0, 3, 0, 1, 1, 1, 2, 0, 1, 2, 4, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 4, 1, 3, 4, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 2, 3, 1, 1, 3, 1, 2, 0, 3, 3, 0, 4, 2, 2, 4, 3, 4, 4, 0, 3, 4, 3, 4, 3, 4, 2, 0, 2, 2, 1, 3, 4, 0, 4, 2, 3, 4, 4, 4, 0, 1, 0, 2, 4, 1, 3, 4, 3, 4, 3, 4, 1, 2, 1, 2, 2, 2, 2, 0, 4, 3, 4, 0, 3, 4, 2, 1, 2, 3, 0, 4, 2, 1, 3, 4, 3, 3, 2, 3, 3, 4, 4, 1, 0, 2, 4, 2, 0, 1, 2, 2, 0, 0, 3, 3, 2, 4, 2, 0, 0, 4, 0, 2, 0, 0, 0, 1, 4, 0, 1, 2, 0, 1, 0, 1]
pubkeycol1577 = [3, 3, 1, 1, 3, 2, 3, 3, 2, 4, 2, 2, 1, 1, 3, 1, 4, 4, 3, 2, 2, 1, 0, 0, 4, 3, 4, 3, 3, 3, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 3, 3, 0, 2, 0, 0, 4, 4, 3, 3, 0, 0, 1, 3, 0, 1, 2, 3, 3, 3, 0, 0, 4, 1, 1, 3, 0, 3, 0, 4, 3, 0, 1, 3, 2, 0, 3, 4, 0, 2, 1, 2, 2, 4, 3, 0, 3, 4, 1, 2, 1, 2, 1, 4, 0, 1, 4, 2, 4, 2, 0, 3, 0, 2, 2, 1, 0, 2, 4, 1, 0, 0, 4, 3, 0, 2, 3, 4, 1, 1, 0, 1, 3, 1, 0, 4, 1, 1, 4, 0, 4, 4, 4, 2, 1, 4, 2, 0, 4, 3, 0, 1, 2, 4, 0, 4, 0, 2, 1, 4, 1, 2, 3, 2, 1, 2, 0, 0, 0, 2, 3, 2, 1, 4, 0, 1, 2, 1, 4, 1, 3, 4, 0, 3, 1, 1, 1, 1, 4, 1, 3, 1, 1, 4, 2, 1, 1, 3, 4, 2, 3, 4, 2, 0, 1, 4, 1, 4, 3, 4, 3, 1, 2, 2, 1, 0, 3, 3, 2, 4, 2, 0, 3, 1, 0, 0, 0, 2, 4, 0, 1, 2, 0, 4, 1, 0, 3, 2, 0, 2, 3, 3, 1, 0, 0, 1, 2, 3, 3, 2, 2, 4, 3, 3, 2, 0, 2, 0, 0, 3, 2, 0, 3, 2, 2, 4, 0, 3, 0, 3, 4, 0, 4, 0, 4, 4, 2, 1, 4, 3, 2, 3, 2, 2, 0, 1, 4, 3, 3, 2, 0, 2, 2, 0, 3, 1, 1, 1, 0, 0, 2, 2, 4, 0, 2, 1, 2, 3, 2, 0, 1, 4, 3, 1, 4, 1, 4, 1, 4, 0, 1, 4, 3, 2, 3, 3, 3, 2, 1, 1, 3, 0, 0, 2, 3, 4, 3, 1, 0, 4, 3, 3, 0, 4, 4, 1, 0, 1, 1, 3, 3, 4, 4, 1, 1, 4, 4, 0, 4, 1, 0, 4, 2, 0, 1, 0, 1, 2, 2, 4, 4, 4, 0, 0, 1, 4, 4, 1, 1, 3, 3, 0, 0, 0, 4, 4, 1, 0, 4, 0, 4, 4, 0, 0, 4, 0, 2, 4, 2, 4, 4, 3, 4, 3, 0, 1, 2, 0, 3, 0, 3, 1, 3, 1, 3, 4, 4, 0, 0, 0, 0, 3, 1, 3, 0, 3, 2, 3, 1, 2, 2, 2, 2, 2, 4, 3, 3, 3, 4, 1, 3, 0, 3, 2, 0, 1, 4, 0, 4, 3, 4, 2, 3, 3, 1, 1, 4, 4, 1, 4, 4, 4, 0, 4, 3, 4, 4, 1, 3, 0, 2, 3, 4, 4, 3, 4, 0, 4, 4, 0, 4, 0, 0, 1, 0, 4, 4, 1, 2, 0, 4, 0, 4, 1, 4, 0, 2, 0, 1, 2, 2, 3, 1, 4, 1, 1, 4, 0, 3, 0, 1, 0, 0, 1, 0]
pubkeycol1578 = [3, 0, 2, 2, 2, 2, 4, 4, 1, 1, 4, 0, 0, 3, 4, 0, 4, 1, 3, 1, 1, 0, 1, 3, 0, 1, 1, 1, 3, 0, 0, 3, 3, 3, 0, 2, 2, 2, 4, 4, 3, 0, 4, 3, 4, 3, 3, 2, 1, 3, 4, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 2, 2, 1, 0, 4, 2, 3, 1, 2, 1, 4, 3, 1, 2, 4, 1, 3, 4, 2, 4, 0, 0, 0, 0, 4, 2, 0, 4, 0, 4, 1, 1, 2, 1, 2, 1, 3, 4, 2, 0, 4, 0, 3, 2, 1, 4, 0, 3, 2, 1, 0, 4, 1, 4, 3, 2, 4, 0, 1, 0, 0, 4, 0, 1, 4, 4, 4, 0, 2, 0, 3, 0, 1, 4, 0, 4, 1, 0, 1, 2, 4, 0, 3, 1, 0, 2, 4, 1, 1, 0, 0, 0, 2, 1, 3, 4, 0, 2, 1, 0, 4, 4, 2, 2, 2, 0, 0, 1, 4, 3, 2, 1, 0, 1, 2, 4, 2, 4, 0, 4, 3, 2, 3, 1, 4, 3, 0, 2, 2, 3, 0, 3, 3, 3, 0, 0, 4, 1, 0, 2, 1, 1, 0, 2, 4, 0, 4, 4, 4, 1, 4, 2, 3, 1, 1, 1, 1, 3, 3, 2, 3, 1, 2, 4, 4, 2, 1, 4, 0, 4, 3, 0, 3, 2, 3, 1, 0, 2, 2, 3, 2, 0, 2, 2, 4, 0, 2, 0, 0, 4, 2, 1, 4, 2, 4, 2, 3, 0, 4, 3, 2, 2, 2, 2, 2, 0, 3, 4, 3, 3, 4, 3, 2, 4, 4, 4, 2, 3, 1, 2, 2, 3, 0, 4, 1, 3, 4, 4, 1, 1, 2, 1, 2, 4, 0, 4, 1, 4, 3, 4, 1, 2, 0, 2, 0, 4, 1, 0, 0, 4, 0, 4, 4, 4, 4, 4, 2, 2, 3, 0, 0, 0, 1, 3, 1, 2, 1, 2, 1, 4, 3, 3, 0, 1, 1, 2, 4, 0, 0, 0, 2, 4, 0, 1, 3, 0, 3, 2, 3, 3, 4, 2, 4, 4, 0, 1, 4, 1, 0, 1, 0, 4, 4, 3, 2, 3, 4, 1, 3, 1, 4, 2, 4, 2, 2, 1, 3, 4, 2, 1, 2, 3, 1, 0, 2, 3, 2, 4, 2, 4, 0, 1, 3, 3, 1, 1, 3, 0, 0, 1, 0, 4, 2, 0, 4, 3, 4, 1, 4, 1, 4, 0, 0, 4, 3, 2, 0, 4, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 3, 1, 3, 2, 2, 4, 4, 4, 0, 3, 2, 2, 4, 0, 3, 1, 4, 2, 0, 2, 2, 2, 4, 0, 1, 4, 2, 1, 4, 0, 0, 2, 2, 0, 4, 0, 0, 1, 1, 4, 4, 3, 4, 1, 3, 2, 3, 4, 2, 3, 4, 2, 4, 1, 4, 0, 1, 0, 0, 0, 1, 3, 0, 1, 0, 2, 4, 1, 0, 3, 4, 4, 0, 3, 0, 3]
pubkeycol1579 = [1, 4, 1, 2, 1, 2, 1, 3, 1, 4, 1, 0, 4, 0, 0, 3, 4, 4, 3, 2, 4, 0, 4, 4, 2, 2, 4, 2, 1, 1, 0, 3, 2, 1, 0, 1, 3, 2, 3, 0, 0, 4, 0, 3, 3, 1, 3, 0, 1, 3, 0, 4, 3, 1, 1, 2, 2, 4, 1, 2, 1, 2, 1, 4, 4, 1, 1, 0, 1, 2, 0, 4, 3, 0, 1, 0, 0, 1, 3, 1, 0, 2, 4, 2, 2, 1, 0, 1, 1, 4, 1, 1, 3, 0, 1, 1, 0, 2, 2, 3, 1, 2, 2, 2, 2, 1, 4, 0, 2, 2, 3, 3, 4, 2, 2, 3, 4, 4, 1, 3, 0, 0, 3, 0, 1, 3, 3, 2, 0, 2, 3, 3, 0, 2, 2, 0, 1, 1, 3, 0, 3, 0, 2, 1, 0, 4, 3, 0, 3, 3, 3, 3, 2, 3, 0, 3, 4, 3, 0, 4, 4, 1, 4, 2, 1, 0, 2, 2, 4, 4, 0, 2, 0, 1, 3, 3, 4, 1, 0, 3, 4, 0, 3, 2, 2, 2, 4, 0, 1, 1, 0, 4, 3, 4, 4, 4, 1, 3, 0, 3, 0, 4, 3, 4, 1, 1, 1, 1, 0, 3, 3, 4, 2, 0, 4, 4, 4, 1, 0, 1, 0, 0, 4, 3, 3, 4, 3, 2, 2, 3, 2, 4, 4, 3, 3, 1, 4, 1, 0, 2, 1, 4, 1, 4, 0, 4, 1, 3, 2, 1, 3, 3, 3, 0, 3, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 3, 3, 1, 1, 4, 4, 3, 2, 0, 3, 3, 1, 1, 0, 0, 1, 4, 1, 4, 3, 0, 4, 1, 1, 0, 0, 4, 3, 4, 4, 0, 4, 0, 4, 2, 0, 3, 0, 1, 2, 3, 2, 2, 0, 1, 1, 3, 3, 0, 0, 0, 4, 3, 3, 4, 1, 3, 0, 3, 3, 3, 1, 0, 2, 3, 1, 4, 1, 0, 1, 3, 1, 1, 2, 0, 4, 2, 4, 3, 4, 0, 3, 4, 4, 1, 1, 2, 3, 2, 4, 4, 3, 2, 1, 3, 0, 4, 1, 1, 3, 4, 4, 3, 3, 2, 2, 0, 0, 0, 1, 2, 4, 4, 1, 4, 1, 2, 2, 3, 3, 0, 3, 0, 4, 4, 2, 4, 2, 1, 0, 2, 0, 4, 4, 3, 1, 0, 0, 4, 1, 3, 3, 2, 1, 0, 2, 3, 3, 4, 1, 1, 3, 1, 2, 2, 1, 0, 0, 3, 0, 4, 0, 2, 3, 1, 1, 2, 1, 1, 4, 0, 1, 0, 3, 4, 2, 2, 4, 3, 0, 3, 0, 1, 1, 3, 0, 3, 4, 4, 0, 4, 1, 1, 2, 3, 4, 3, 2, 3, 3, 2, 1, 0, 1, 4, 1, 1, 2, 1, 0, 2, 3, 2, 4, 1, 3, 1, 0, 0, 0, 1, 3, 2, 2, 2, 1, 4, 4, 0, 2, 0, 1, 3, 3, 3, 1, 3, 2, 0]
pubkeycol1580 = [4, 0, 1, 0, 0, 2, 1, 4, 4, 2, 2, 2, 2, 1, 2, 4, 3, 3, 2, 1, 0, 3, 0, 3, 1, 4, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 4, 4, 0, 1, 3, 2, 3, 1, 0, 1, 0, 3, 4, 0, 1, 4, 3, 1, 4, 3, 4, 4, 0, 3, 4, 1, 2, 3, 0, 3, 4, 2, 3, 3, 4, 0, 4, 1, 4, 3, 4, 3, 3, 0, 4, 2, 1, 0, 0, 4, 3, 4, 0, 2, 4, 1, 2, 2, 4, 3, 4, 2, 0, 2, 1, 1, 0, 0, 3, 0, 0, 2, 1, 2, 4, 4, 4, 4, 3, 3, 4, 2, 2, 3, 0, 1, 2, 0, 2, 1, 3, 4, 1, 0, 1, 0, 0, 4, 4, 3, 2, 3, 1, 4, 2, 4, 1, 2, 3, 1, 1, 3, 1, 4, 2, 4, 4, 4, 2, 1, 4, 0, 2, 2, 1, 3, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 4, 3, 1, 4, 4, 3, 0, 3, 0, 0, 4, 4, 4, 3, 0, 2, 0, 1, 1, 1, 0, 1, 4, 1, 3, 3, 3, 1, 3, 4, 4, 1, 0, 3, 4, 3, 2, 1, 3, 0, 2, 1, 3, 2, 3, 2, 0, 1, 3, 4, 0, 3, 0, 3, 1, 4, 0, 4, 2, 4, 1, 1, 0, 3, 3, 4, 1, 2, 3, 2, 0, 3, 0, 1, 0, 2, 2, 4, 3, 1, 1, 3, 1, 3, 1, 1, 1, 1, 3, 2, 0, 3, 2, 3, 0, 4, 1, 1, 2, 2, 4, 4, 1, 2, 2, 1, 4, 4, 1, 1, 3, 0, 0, 1, 0, 4, 3, 1, 0, 3, 3, 4, 2, 2, 1, 4, 2, 1, 0, 2, 0, 4, 4, 3, 4, 2, 3, 0, 1, 4, 4, 1, 4, 3, 4, 3, 2, 0, 0, 0, 1, 1, 3, 4, 4, 2, 3, 3, 4, 1, 4, 2, 3, 0, 4, 2, 4, 2, 3, 3, 3, 1, 4, 1, 3, 2, 3, 1, 1, 4, 0, 1, 2, 2, 3, 4, 2, 0, 3, 2, 3, 0, 4, 4, 1, 4, 0, 2, 1, 0, 3, 0, 3, 1, 4, 3, 3, 1, 3, 1, 0, 2, 4, 0, 1, 4, 4, 3, 1, 2, 3, 2, 2, 3, 0, 0, 0, 2, 2, 1, 4, 2, 2, 0, 0, 4, 4, 3, 2, 2, 0, 1, 2, 1, 2, 3, 4, 4, 2, 3, 1, 1, 2, 3, 0, 4, 4, 0, 0, 2, 3, 3, 3, 1, 4, 1, 0, 0, 1, 3, 0, 3, 0, 4, 1, 4, 0, 4, 0, 4, 4, 4, 2, 1, 4, 0, 4, 1, 1, 3, 0, 3, 0, 0, 0, 3, 2, 3, 0, 4, 4, 4, 3, 1, 4, 1, 2, 3, 3, 4, 1, 3, 2, 0, 1, 1, 2, 1, 4, 1, 1, 3, 4, 4, 2, 0, 3, 0, 0, 4, 0, 3]
pubkeycol1581 = [2, 4, 1, 3, 2, 1, 1, 4, 3, 0, 2, 0, 1, 1, 0, 3, 1, 3, 2, 4, 2, 1, 0, 2, 2, 2, 1, 2, 3, 4, 1, 2, 2, 2, 0, 3, 0, 0, 4, 1, 4, 1, 4, 2, 1, 1, 2, 0, 3, 0, 1, 0, 2, 3, 1, 3, 2, 0, 2, 2, 4, 4, 0, 0, 0, 2, 2, 1, 4, 3, 3, 2, 1, 0, 3, 1, 3, 4, 4, 4, 3, 1, 4, 1, 0, 4, 2, 2, 1, 4, 2, 4, 4, 3, 0, 1, 4, 1, 2, 4, 2, 3, 3, 2, 0, 3, 1, 2, 2, 0, 2, 4, 1, 1, 4, 2, 4, 1, 4, 4, 0, 4, 2, 3, 3, 2, 3, 3, 1, 4, 1, 4, 1, 1, 0, 4, 3, 4, 2, 3, 2, 4, 0, 1, 2, 0, 2, 4, 1, 2, 1, 3, 0, 4, 3, 0, 0, 2, 0, 4, 0, 1, 3, 2, 0, 3, 2, 1, 2, 2, 4, 1, 3, 2, 2, 2, 2, 4, 0, 4, 4, 2, 4, 0, 2, 4, 3, 4, 4, 0, 4, 1, 3, 2, 0, 3, 4, 1, 2, 4, 2, 4, 4, 3, 4, 4, 2, 4, 2, 1, 3, 2, 2, 1, 0, 1, 3, 4, 2, 3, 1, 0, 3, 0, 4, 2, 1, 3, 2, 2, 2, 3, 3, 1, 1, 1, 3, 4, 1, 0, 4, 0, 2, 3, 2, 0, 0, 2, 4, 3, 3, 1, 4, 1, 4, 2, 2, 4, 4, 2, 3, 0, 1, 0, 3, 1, 3, 4, 2, 2, 0, 3, 4, 0, 1, 1, 2, 1, 4, 4, 4, 1, 2, 4, 3, 1, 0, 4, 1, 1, 0, 1, 0, 0, 4, 0, 2, 1, 0, 2, 1, 4, 0, 2, 3, 0, 2, 1, 3, 0, 2, 0, 0, 1, 1, 2, 4, 3, 2, 1, 2, 2, 0, 2, 4, 1, 4, 3, 4, 3, 1, 0, 3, 3, 3, 4, 2, 2, 2, 2, 4, 2, 1, 3, 3, 2, 0, 1, 1, 1, 1, 2, 2, 0, 4, 2, 3, 2, 3, 2, 0, 2, 1, 1, 1, 2, 3, 2, 3, 0, 1, 0, 0, 1, 0, 2, 3, 0, 4, 3, 1, 4, 0, 2, 2, 3, 3, 3, 2, 1, 3, 0, 3, 0, 3, 3, 2, 3, 1, 3, 3, 4, 1, 3, 3, 3, 1, 2, 0, 3, 1, 4, 4, 3, 1, 3, 2, 4, 4, 1, 3, 3, 0, 3, 4, 2, 3, 2, 1, 4, 0, 4, 4, 3, 1, 1, 1, 3, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 4, 0, 2, 3, 3, 3, 3, 0, 2, 1, 2, 0, 1, 4, 1, 1, 4, 0, 2, 0, 1, 0, 4, 2, 3, 1, 4, 4, 4, 4, 2, 2, 3, 1, 4, 0, 4, 2, 3, 4, 4, 2, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 2, 3]
pubkeycol1582 = [0, 4, 1, 0, 3, 3, 3, 0, 3, 1, 2, 4, 1, 2, 4, 3, 0, 4, 2, 4, 1, 4, 1, 4, 1, 4, 4, 2, 2, 0, 3, 0, 2, 0, 4, 1, 1, 4, 4, 4, 2, 0, 4, 1, 0, 2, 0, 0, 4, 1, 2, 2, 0, 0, 0, 4, 0, 2, 1, 3, 3, 4, 1, 1, 4, 2, 2, 0, 0, 4, 2, 0, 0, 0, 4, 3, 0, 3, 4, 0, 4, 3, 2, 4, 2, 1, 2, 0, 0, 0, 0, 4, 1, 1, 4, 2, 4, 0, 2, 2, 0, 4, 3, 2, 3, 0, 3, 2, 4, 4, 3, 0, 3, 2, 4, 0, 1, 4, 1, 1, 0, 1, 1, 1, 3, 0, 2, 1, 1, 3, 1, 2, 2, 0, 4, 1, 0, 4, 0, 2, 0, 0, 2, 2, 2, 0, 4, 2, 4, 4, 3, 0, 4, 4, 0, 2, 4, 1, 0, 2, 3, 4, 3, 1, 1, 1, 0, 3, 0, 1, 2, 1, 4, 1, 4, 3, 0, 3, 0, 2, 1, 1, 4, 2, 4, 4, 1, 4, 1, 3, 3, 3, 0, 2, 0, 3, 1, 0, 3, 2, 2, 3, 0, 3, 4, 2, 2, 0, 4, 0, 1, 0, 3, 3, 2, 3, 1, 1, 1, 3, 2, 0, 4, 0, 0, 4, 1, 3, 0, 0, 4, 1, 1, 0, 3, 2, 3, 1, 2, 2, 4, 1, 2, 4, 2, 2, 3, 0, 1, 0, 3, 4, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 3, 3, 2, 3, 0, 2, 2, 4, 2, 3, 0, 4, 1, 2, 3, 0, 0, 3, 0, 3, 3, 1, 4, 3, 3, 3, 4, 2, 1, 2, 2, 4, 3, 0, 2, 0, 2, 4, 1, 1, 1, 1, 1, 3, 0, 3, 4, 3, 1, 4, 3, 4, 1, 1, 3, 3, 4, 1, 1, 1, 4, 1, 3, 0, 0, 3, 3, 3, 4, 3, 1, 3, 2, 0, 1, 2, 3, 0, 3, 4, 0, 0, 4, 2, 4, 0, 2, 1, 4, 0, 4, 1, 0, 4, 1, 0, 2, 1, 1, 0, 2, 2, 0, 3, 0, 1, 3, 1, 2, 3, 4, 0, 3, 2, 1, 1, 3, 3, 1, 0, 0, 4, 0, 2, 4, 3, 2, 4, 1, 1, 1, 3, 4, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 4, 2, 4, 2, 2, 2, 4, 2, 4, 0, 1, 3, 1, 0, 1, 1, 0, 2, 0, 4, 4, 3, 2, 3, 4, 2, 2, 1, 4, 3, 4, 4, 4, 1, 4, 2, 4, 1, 3, 4, 4, 3, 0, 3, 3, 3, 1, 0, 4, 0, 4, 3, 3, 4, 2, 1, 2, 2, 3, 0, 4, 1, 0, 0, 4, 0, 3, 4, 1, 0, 2, 4, 0, 2, 2, 2, 4, 1, 3, 3, 4, 2, 2, 4, 4, 1, 1, 2, 4, 1, 1, 4, 1]
pubkeycol1583 = [3, 2, 2, 4, 0, 1, 1, 0, 4, 4, 3, 3, 2, 1, 3, 4, 1, 0, 0, 1, 3, 3, 0, 4, 2, 3, 1, 2, 1, 4, 2, 2, 2, 4, 0, 3, 3, 4, 3, 1, 2, 1, 1, 0, 2, 4, 0, 2, 2, 0, 1, 4, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 3, 3, 4, 4, 2, 2, 1, 3, 4, 3, 0, 2, 3, 0, 0, 0, 3, 4, 0, 4, 0, 3, 3, 3, 1, 3, 1, 2, 1, 1, 3, 2, 1, 2, 3, 4, 3, 1, 4, 3, 0, 2, 3, 4, 2, 0, 0, 4, 2, 1, 4, 2, 3, 2, 2, 1, 0, 4, 2, 4, 4, 0, 1, 3, 3, 1, 3, 1, 4, 4, 0, 2, 3, 3, 4, 0, 2, 0, 2, 3, 3, 2, 1, 0, 2, 1, 3, 1, 2, 2, 3, 0, 1, 0, 3, 2, 2, 3, 2, 3, 3, 0, 3, 1, 3, 1, 2, 2, 0, 2, 3, 4, 4, 0, 2, 2, 2, 4, 0, 0, 3, 4, 1, 2, 1, 0, 3, 1, 3, 1, 3, 2, 0, 4, 0, 1, 0, 4, 3, 1, 1, 3, 0, 3, 0, 1, 2, 0, 0, 2, 2, 4, 0, 2, 0, 2, 1, 4, 0, 4, 0, 1, 2, 3, 2, 1, 3, 0, 0, 2, 2, 4, 4, 0, 2, 0, 2, 3, 2, 2, 0, 1, 2, 0, 3, 2, 0, 4, 0, 2, 1, 4, 2, 1, 1, 2, 3, 1, 3, 0, 0, 1, 4, 3, 1, 0, 3, 4, 3, 4, 0, 0, 4, 2, 0, 3, 2, 3, 3, 4, 1, 1, 1, 0, 1, 0, 4, 2, 0, 3, 2, 3, 3, 0, 0, 1, 0, 3, 1, 0, 3, 1, 4, 2, 0, 3, 1, 1, 3, 0, 0, 1, 4, 4, 2, 0, 2, 1, 1, 3, 4, 2, 4, 4, 0, 3, 2, 4, 1, 0, 1, 1, 1, 3, 3, 4, 3, 2, 1, 1, 4, 1, 2, 2, 4, 0, 2, 3, 3, 0, 0, 2, 4, 3, 3, 4, 3, 2, 2, 4, 4, 2, 2, 2, 2, 3, 1, 4, 1, 4, 0, 4, 2, 2, 1, 1, 0, 0, 0, 4, 0, 3, 3, 0, 2, 0, 2, 2, 2, 3, 3, 2, 4, 4, 3, 4, 1, 1, 3, 4, 4, 4, 0, 2, 1, 0, 0, 1, 0, 3, 0, 4, 1, 4, 1, 1, 0, 2, 4, 3, 1, 0, 1, 0, 1, 1, 3, 4, 0, 0, 1, 3, 3, 3, 0, 1, 3, 1, 2, 0, 0, 2, 4, 2, 3, 0, 1, 0, 1, 0, 0, 2, 3, 4, 1, 0, 3, 1, 3, 0, 2, 2, 3, 0, 0, 4, 2, 3, 0, 1, 3, 2, 3, 1, 3, 2, 3, 0, 2, 2, 0, 0, 0, 0, 2, 0, 3, 4, 4, 3, 0, 4, 0, 1, 0, 1, 4, 0, 4, 0, 1, 3, 0]
pubkeycol1584 = [4, 2, 1, 0, 2, 1, 2, 2, 2, 3, 1, 2, 4, 4, 1, 0, 2, 0, 4, 3, 0, 3, 2, 3, 2, 4, 1, 4, 1, 0, 0, 2, 0, 0, 4, 0, 2, 3, 0, 1, 0, 4, 2, 3, 1, 3, 0, 0, 0, 4, 1, 1, 0, 0, 2, 3, 1, 0, 4, 3, 3, 2, 0, 3, 0, 4, 2, 3, 0, 0, 3, 0, 3, 2, 1, 4, 2, 0, 3, 4, 4, 0, 0, 2, 4, 4, 2, 1, 3, 2, 1, 0, 0, 4, 2, 1, 4, 4, 0, 1, 4, 1, 3, 4, 1, 0, 2, 4, 1, 4, 4, 0, 3, 3, 4, 0, 1, 1, 4, 2, 1, 0, 1, 4, 4, 2, 3, 0, 2, 3, 1, 1, 2, 2, 4, 3, 1, 3, 4, 0, 2, 1, 1, 0, 2, 2, 3, 2, 4, 3, 2, 1, 1, 2, 2, 0, 3, 4, 4, 1, 4, 3, 2, 4, 0, 2, 0, 3, 3, 3, 3, 4, 2, 1, 0, 0, 1, 3, 0, 0, 3, 2, 2, 1, 2, 4, 2, 4, 0, 3, 3, 4, 3, 0, 2, 3, 3, 2, 0, 4, 2, 0, 4, 4, 2, 2, 4, 3, 2, 2, 4, 2, 2, 0, 3, 2, 3, 0, 4, 3, 4, 1, 3, 4, 4, 1, 3, 0, 4, 3, 3, 1, 3, 1, 1, 0, 3, 3, 1, 2, 0, 0, 4, 1, 3, 0, 2, 3, 1, 2, 4, 2, 0, 2, 3, 3, 2, 1, 1, 4, 4, 3, 0, 4, 2, 4, 3, 4, 2, 3, 2, 1, 4, 0, 3, 3, 2, 3, 2, 4, 4, 3, 4, 1, 4, 3, 4, 4, 4, 1, 3, 4, 0, 4, 3, 0, 0, 2, 1, 3, 4, 4, 2, 1, 1, 0, 0, 3, 4, 4, 1, 3, 1, 0, 1, 0, 4, 1, 0, 1, 1, 0, 1, 4, 4, 1, 0, 1, 1, 2, 2, 0, 3, 0, 4, 0, 0, 2, 3, 2, 1, 0, 4, 1, 2, 1, 1, 1, 1, 3, 1, 3, 4, 2, 0, 0, 3, 0, 3, 1, 1, 2, 1, 3, 0, 4, 0, 2, 0, 1, 2, 3, 1, 3, 0, 0, 4, 3, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 4, 3, 3, 0, 0, 4, 4, 1, 4, 0, 4, 2, 4, 0, 0, 4, 3, 4, 1, 0, 3, 1, 4, 0, 3, 3, 0, 0, 2, 2, 0, 4, 2, 1, 1, 4, 0, 4, 1, 2, 1, 3, 3, 2, 3, 1, 2, 4, 0, 3, 2, 3, 2, 0, 1, 2, 2, 0, 4, 4, 2, 4, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 4, 4, 4, 1, 4, 4, 0, 1, 0, 3, 3, 3, 2, 3, 2, 1, 3, 1, 1, 0, 0, 2, 2, 0, 2, 2, 3, 1, 2, 0, 1, 2, 0, 4, 4, 0, 2, 3, 1]
pubkeycol1585 = [4, 1, 3, 3, 2, 0, 4, 2, 1, 1, 1, 0, 0, 2, 3, 1, 2, 0, 3, 2, 4, 2, 1, 0, 1, 2, 0, 1, 1, 4, 3, 1, 1, 2, 3, 2, 4, 3, 0, 2, 2, 4, 4, 2, 2, 2, 2, 3, 0, 3, 1, 1, 0, 1, 4, 0, 0, 2, 2, 1, 4, 4, 3, 3, 1, 2, 4, 3, 2, 0, 0, 1, 3, 3, 4, 0, 0, 4, 1, 2, 3, 2, 3, 2, 4, 3, 2, 1, 2, 0, 2, 1, 1, 3, 0, 4, 3, 2, 0, 1, 0, 3, 1, 4, 1, 2, 1, 0, 4, 0, 2, 4, 1, 4, 0, 1, 4, 1, 1, 0, 0, 2, 0, 2, 1, 4, 1, 0, 1, 4, 3, 3, 3, 0, 1, 3, 4, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 4, 1, 3, 2, 2, 0, 3, 3, 4, 0, 4, 3, 3, 3, 2, 0, 2, 0, 4, 2, 2, 2, 3, 1, 0, 0, 0, 4, 4, 0, 1, 4, 2, 2, 1, 0, 2, 3, 0, 4, 2, 4, 1, 3, 0, 2, 1, 4, 3, 3, 4, 4, 3, 4, 4, 0, 1, 4, 3, 2, 0, 1, 4, 2, 1, 3, 2, 2, 1, 2, 3, 2, 1, 0, 0, 4, 2, 4, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 3, 3, 2, 2, 1, 1, 4, 3, 2, 4, 3, 1, 2, 3, 4, 0, 4, 3, 2, 2, 3, 1, 3, 4, 3, 1, 3, 2, 3, 1, 0, 4, 1, 4, 0, 2, 2, 4, 1, 0, 4, 3, 0, 0, 2, 3, 0, 3, 2, 0, 1, 1, 1, 4, 0, 1, 0, 4, 1, 0, 2, 4, 4, 3, 4, 3, 0, 2, 4, 3, 2, 4, 4, 3, 1, 1, 2, 1, 2, 1, 4, 3, 4, 4, 0, 0, 2, 1, 3, 3, 1, 1, 1, 1, 4, 3, 1, 0, 2, 2, 0, 4, 0, 0, 3, 2, 2, 3, 2, 4, 3, 0, 3, 1, 0, 2, 0, 4, 2, 4, 3, 2, 1, 3, 1, 2, 1, 4, 3, 4, 0, 1, 2, 1, 0, 1, 0, 0, 4, 4, 4, 1, 4, 0, 1, 2, 2, 0, 0, 1, 4, 0, 4, 2, 0, 4, 1, 0, 3, 1, 3, 3, 2, 1, 4, 3, 3, 1, 0, 3, 1, 3, 0, 1, 3, 4, 0, 0, 4, 0, 0, 2, 4, 0, 0, 1, 3, 1, 0, 1, 1, 4, 2, 2, 1, 3, 4, 4, 4, 0, 3, 3, 4, 4, 1, 3, 0, 4, 1, 2, 1, 2, 2, 3, 3, 2, 0, 3, 3, 4, 0, 4, 0, 2, 4, 2, 2, 4, 3, 2, 1, 0, 0, 3, 2, 1, 4, 0, 3, 0, 3, 2, 1, 1, 0, 1, 4, 2, 2, 0, 0, 2, 0, 3, 0, 0, 0, 4, 0, 0, 4, 4, 1, 1, 1, 3, 3]
pubkeycol1586 = [2, 0, 2, 4, 1, 0, 4, 4, 2, 4, 2, 4, 2, 2, 1, 2, 3, 3, 0, 0, 4, 0, 2, 0, 0, 3, 1, 2, 3, 2, 4, 3, 1, 2, 2, 1, 0, 1, 3, 1, 0, 2, 1, 1, 2, 3, 1, 0, 2, 2, 1, 1, 0, 1, 3, 4, 4, 2, 0, 1, 2, 3, 2, 0, 0, 4, 1, 4, 2, 1, 3, 4, 3, 3, 1, 4, 4, 3, 3, 4, 4, 2, 1, 0, 1, 4, 0, 3, 4, 0, 4, 3, 1, 3, 1, 4, 3, 2, 4, 4, 4, 0, 3, 3, 2, 4, 1, 3, 3, 3, 1, 4, 2, 2, 4, 3, 4, 1, 1, 2, 3, 0, 3, 1, 0, 2, 0, 0, 3, 2, 1, 1, 2, 1, 0, 2, 2, 4, 3, 1, 1, 2, 2, 0, 1, 1, 0, 0, 3, 2, 4, 1, 0, 1, 1, 0, 4, 4, 3, 2, 3, 3, 4, 0, 2, 1, 2, 0, 0, 0, 4, 0, 0, 3, 2, 1, 0, 4, 2, 0, 1, 4, 0, 2, 2, 2, 4, 0, 2, 4, 2, 4, 2, 4, 0, 3, 0, 2, 2, 1, 1, 3, 1, 1, 4, 0, 4, 4, 1, 4, 1, 2, 0, 1, 1, 4, 1, 4, 2, 3, 1, 2, 3, 4, 3, 2, 2, 1, 0, 1, 4, 2, 2, 2, 0, 3, 1, 4, 3, 0, 1, 4, 3, 3, 4, 0, 2, 1, 2, 2, 3, 3, 4, 4, 4, 3, 0, 4, 0, 3, 1, 0, 4, 2, 0, 2, 0, 3, 2, 2, 1, 4, 2, 3, 1, 1, 2, 3, 3, 3, 0, 1, 4, 4, 2, 3, 0, 1, 1, 1, 3, 0, 2, 0, 3, 3, 0, 2, 4, 0, 4, 3, 2, 2, 2, 0, 1, 4, 4, 4, 4, 4, 2, 1, 1, 2, 1, 1, 2, 3, 2, 1, 0, 0, 4, 3, 3, 2, 2, 0, 4, 3, 0, 1, 4, 3, 1, 0, 2, 1, 4, 2, 0, 0, 0, 0, 4, 4, 3, 2, 0, 0, 1, 0, 4, 4, 3, 0, 4, 4, 4, 3, 1, 0, 1, 2, 3, 0, 1, 1, 4, 3, 3, 0, 0, 4, 2, 2, 1, 4, 0, 0, 1, 4, 1, 0, 1, 3, 0, 0, 4, 4, 4, 2, 4, 1, 1, 0, 4, 4, 3, 1, 0, 1, 2, 4, 0, 0, 2, 1, 2, 0, 0, 3, 2, 3, 1, 4, 1, 0, 3, 0, 2, 4, 2, 2, 3, 4, 3, 1, 1, 3, 2, 0, 0, 2, 1, 3, 1, 4, 0, 0, 4, 4, 2, 2, 3, 3, 0, 3, 0, 4, 0, 0, 1, 4, 2, 1, 3, 1, 3, 0, 3, 4, 0, 0, 1, 2, 0, 0, 3, 3, 3, 4, 1, 4, 1, 4, 3, 1, 1, 3, 0, 2, 3, 0, 3, 3, 0, 4, 1, 1, 0, 2, 0, 0, 3, 4, 1, 0, 3, 3, 4, 0, 3]
pubkeycol1587 = [1, 4, 2, 3, 3, 2, 1, 1, 3, 0, 2, 4, 1, 0, 1, 1, 0, 0, 1, 4, 3, 1, 1, 1, 4, 1, 1, 0, 0, 0, 0, 2, 0, 4, 3, 1, 3, 3, 4, 3, 0, 3, 1, 2, 4, 0, 4, 3, 3, 4, 3, 2, 0, 1, 4, 0, 4, 2, 2, 4, 1, 2, 4, 2, 0, 0, 0, 1, 2, 0, 2, 3, 0, 0, 4, 2, 1, 2, 2, 0, 2, 1, 3, 1, 1, 0, 2, 3, 2, 4, 3, 0, 4, 1, 0, 4, 2, 1, 0, 1, 0, 1, 2, 0, 4, 3, 3, 4, 0, 0, 4, 3, 4, 2, 0, 1, 3, 0, 3, 2, 4, 2, 2, 0, 2, 1, 3, 3, 0, 2, 0, 0, 3, 1, 0, 0, 3, 0, 4, 2, 2, 2, 3, 0, 0, 0, 0, 3, 4, 0, 2, 1, 1, 2, 2, 2, 3, 3, 3, 0, 4, 3, 3, 4, 2, 1, 3, 2, 4, 4, 3, 0, 4, 1, 2, 1, 0, 0, 2, 2, 2, 4, 4, 3, 0, 0, 4, 3, 3, 0, 1, 1, 4, 3, 2, 2, 1, 3, 3, 0, 0, 4, 2, 4, 3, 0, 3, 1, 2, 4, 2, 2, 2, 4, 3, 2, 0, 4, 0, 3, 4, 2, 0, 1, 3, 4, 0, 0, 3, 0, 3, 0, 2, 1, 4, 4, 3, 4, 4, 2, 4, 3, 1, 1, 1, 0, 1, 1, 1, 3, 3, 0, 2, 4, 1, 0, 0, 4, 0, 0, 1, 3, 4, 3, 1, 3, 2, 0, 1, 4, 3, 0, 0, 0, 1, 4, 1, 2, 1, 0, 1, 4, 1, 3, 2, 4, 2, 0, 2, 0, 0, 4, 4, 2, 2, 3, 4, 3, 3, 3, 0, 4, 1, 3, 0, 2, 3, 0, 3, 3, 0, 0, 2, 3, 1, 3, 1, 2, 3, 2, 4, 2, 3, 3, 4, 1, 2, 4, 2, 0, 2, 2, 0, 1, 4, 3, 0, 4, 1, 1, 3, 2, 1, 0, 2, 0, 2, 2, 0, 3, 4, 3, 0, 0, 2, 4, 4, 3, 1, 0, 4, 1, 4, 1, 3, 4, 1, 0, 1, 1, 4, 2, 1, 4, 0, 4, 0, 0, 1, 3, 4, 4, 0, 1, 0, 1, 1, 4, 1, 4, 0, 1, 3, 2, 1, 3, 0, 4, 1, 1, 2, 4, 0, 1, 4, 0, 3, 2, 0, 1, 1, 0, 1, 1, 2, 3, 4, 1, 0, 4, 1, 3, 0, 1, 1, 0, 1, 0, 4, 1, 1, 3, 3, 0, 0, 1, 2, 2, 3, 2, 2, 2, 1, 4, 1, 4, 2, 4, 0, 1, 1, 0, 0, 0, 1, 0, 0, 3, 0, 1, 1, 1, 4, 0, 2, 3, 2, 1, 1, 2, 2, 2, 4, 4, 4, 2, 3, 1, 4, 1, 0, 2, 2, 1, 4, 2, 4, 0, 1, 4, 2, 2, 2, 4, 2, 3, 3, 0, 0, 2, 0, 0, 2, 2, 4]
pubkeycol1588 = [3, 3, 2, 2, 2, 2, 2, 3, 2, 0, 4, 0, 4, 4, 1, 2, 2, 2, 0, 1, 4, 0, 1, 4, 2, 1, 2, 4, 4, 1, 1, 0, 0, 3, 2, 0, 0, 4, 1, 2, 3, 0, 0, 2, 3, 1, 1, 3, 4, 3, 0, 1, 4, 3, 0, 3, 2, 2, 0, 4, 4, 3, 1, 0, 3, 1, 1, 4, 4, 3, 0, 3, 3, 4, 1, 4, 2, 1, 4, 4, 0, 3, 2, 2, 4, 1, 2, 4, 2, 0, 1, 3, 1, 4, 2, 0, 2, 1, 0, 1, 3, 4, 3, 3, 4, 3, 0, 4, 1, 0, 4, 4, 0, 3, 2, 1, 2, 0, 3, 4, 0, 0, 1, 3, 3, 4, 0, 1, 2, 1, 4, 3, 0, 4, 2, 1, 1, 4, 3, 3, 4, 3, 0, 4, 0, 0, 2, 4, 4, 1, 4, 0, 0, 3, 4, 0, 3, 4, 0, 0, 1, 0, 4, 3, 0, 1, 3, 2, 0, 0, 3, 0, 3, 4, 1, 0, 1, 3, 0, 3, 4, 1, 4, 2, 1, 3, 2, 2, 0, 4, 1, 0, 3, 4, 2, 0, 4, 2, 3, 0, 2, 3, 3, 4, 2, 0, 1, 1, 0, 2, 0, 4, 4, 1, 2, 1, 0, 4, 0, 0, 0, 3, 4, 3, 0, 3, 0, 2, 0, 1, 2, 4, 3, 2, 0, 0, 2, 3, 3, 0, 4, 1, 1, 0, 3, 2, 0, 0, 4, 0, 2, 4, 1, 2, 3, 0, 0, 0, 0, 2, 1, 1, 0, 3, 0, 2, 0, 3, 1, 0, 0, 1, 4, 0, 2, 0, 3, 4, 1, 0, 1, 3, 2, 4, 3, 1, 0, 3, 0, 3, 4, 2, 0, 4, 0, 3, 4, 3, 4, 2, 3, 2, 1, 1, 4, 2, 2, 4, 3, 3, 0, 1, 4, 0, 1, 4, 3, 1, 0, 1, 0, 3, 3, 2, 4, 4, 3, 4, 2, 3, 4, 3, 3, 2, 2, 0, 3, 4, 4, 2, 2, 4, 0, 0, 0, 3, 4, 2, 0, 0, 3, 0, 4, 4, 1, 1, 4, 4, 0, 3, 2, 4, 4, 0, 2, 1, 0, 4, 0, 3, 2, 1, 2, 0, 0, 4, 2, 4, 4, 3, 0, 3, 1, 4, 1, 4, 0, 0, 0, 1, 4, 3, 2, 3, 2, 4, 1, 0, 4, 3, 1, 3, 0, 3, 0, 0, 2, 1, 2, 3, 0, 4, 0, 2, 2, 4, 0, 1, 1, 3, 0, 3, 3, 4, 2, 4, 2, 3, 3, 0, 0, 2, 1, 0, 0, 3, 0, 2, 1, 3, 2, 1, 0, 2, 1, 4, 2, 0, 0, 0, 1, 2, 4, 3, 2, 2, 3, 4, 4, 0, 4, 3, 2, 2, 4, 0, 2, 3, 3, 1, 3, 2, 4, 0, 4, 0, 4, 0, 3, 2, 2, 1, 4, 3, 1, 1, 2, 2, 0, 3, 0, 2, 3, 4, 0, 4, 3, 4, 4, 3, 3, 3, 4, 2, 3]
pubkeycol1589 = [3, 2, 4, 2, 3, 3, 2, 3, 0, 1, 1, 0, 0, 1, 4, 4, 1, 0, 0, 0, 2, 3, 0, 2, 2, 4, 0, 4, 4, 3, 2, 3, 1, 0, 3, 0, 4, 2, 0, 2, 2, 2, 4, 4, 3, 1, 3, 2, 3, 3, 3, 0, 0, 4, 3, 4, 1, 1, 0, 3, 1, 4, 4, 1, 2, 2, 0, 0, 1, 3, 1, 2, 2, 3, 2, 2, 1, 4, 4, 4, 2, 3, 0, 3, 2, 0, 3, 4, 1, 1, 2, 4, 1, 0, 0, 4, 3, 4, 0, 2, 1, 1, 4, 1, 0, 4, 0, 1, 2, 0, 2, 4, 2, 0, 1, 0, 0, 2, 2, 0, 4, 3, 2, 3, 2, 3, 0, 3, 0, 0, 1, 3, 1, 3, 2, 2, 3, 1, 4, 0, 3, 2, 2, 2, 3, 1, 4, 2, 3, 0, 2, 4, 3, 3, 2, 1, 2, 0, 3, 1, 4, 2, 0, 0, 3, 1, 1, 0, 1, 3, 0, 1, 4, 1, 4, 4, 3, 4, 0, 2, 0, 3, 1, 4, 4, 2, 1, 4, 2, 3, 3, 2, 1, 0, 3, 2, 1, 1, 4, 4, 2, 4, 1, 0, 4, 3, 4, 2, 4, 4, 1, 0, 2, 4, 3, 2, 1, 1, 0, 3, 0, 0, 2, 2, 4, 3, 3, 0, 0, 1, 1, 0, 0, 0, 2, 0, 3, 4, 3, 0, 1, 1, 1, 1, 4, 1, 1, 0, 3, 3, 0, 1, 2, 2, 3, 4, 4, 4, 2, 1, 4, 2, 4, 3, 1, 0, 3, 2, 2, 1, 4, 4, 1, 2, 3, 4, 1, 3, 2, 0, 0, 3, 1, 1, 0, 4, 1, 0, 2, 4, 4, 3, 4, 1, 3, 4, 3, 4, 1, 1, 4, 0, 4, 0, 0, 1, 0, 4, 3, 0, 2, 2, 2, 0, 1, 2, 2, 2, 3, 3, 4, 0, 0, 2, 4, 1, 2, 1, 1, 4, 3, 0, 3, 2, 1, 0, 3, 2, 2, 0, 2, 1, 0, 1, 2, 3, 1, 3, 2, 1, 4, 4, 1, 0, 4, 0, 1, 0, 1, 4, 0, 4, 2, 4, 4, 2, 4, 0, 3, 4, 0, 1, 4, 3, 0, 4, 3, 4, 0, 0, 1, 2, 2, 1, 3, 3, 0, 2, 0, 0, 3, 1, 0, 4, 2, 1, 0, 0, 0, 0, 3, 2, 2, 0, 1, 1, 4, 1, 0, 0, 2, 4, 3, 1, 0, 3, 3, 4, 3, 2, 0, 0, 3, 2, 0, 3, 4, 3, 0, 1, 2, 3, 0, 3, 3, 3, 4, 1, 0, 4, 0, 4, 3, 4, 0, 1, 0, 2, 4, 0, 1, 3, 3, 2, 1, 2, 2, 2, 4, 2, 0, 1, 3, 1, 4, 4, 0, 4, 1, 3, 3, 4, 3, 4, 0, 3, 1, 3, 4, 4, 1, 1, 4, 1, 3, 2, 3, 4, 1, 0, 1, 1, 1, 1, 1, 0, 0, 3, 1, 4, 4, 2, 0, 1, 2]
pubkeycol1590 = [1, 0, 0, 3, 1, 3, 0, 1, 2, 1, 2, 4, 3, 2, 0, 3, 3, 2, 3, 3, 3, 0, 4, 1, 2, 2, 4, 0, 1, 3, 0, 0, 1, 1, 2, 1, 3, 4, 2, 0, 3, 2, 2, 1, 1, 4, 2, 3, 4, 3, 3, 0, 3, 1, 3, 4, 3, 2, 1, 0, 4, 2, 0, 1, 2, 1, 1, 3, 3, 4, 4, 3, 2, 3, 1, 1, 4, 1, 4, 1, 3, 1, 4, 1, 3, 3, 2, 1, 0, 0, 2, 4, 1, 1, 2, 2, 3, 3, 0, 2, 4, 1, 1, 3, 2, 1, 4, 0, 1, 3, 2, 4, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 4, 4, 3, 3, 0, 0, 1, 2, 0, 3, 3, 1, 4, 4, 0, 3, 1, 4, 1, 1, 3, 0, 1, 2, 1, 3, 3, 2, 3, 1, 4, 3, 1, 3, 4, 4, 3, 2, 0, 2, 1, 4, 1, 0, 3, 0, 2, 1, 0, 4, 1, 2, 4, 2, 0, 0, 2, 1, 3, 2, 1, 1, 0, 4, 0, 3, 0, 0, 2, 4, 0, 0, 4, 1, 2, 3, 3, 0, 1, 2, 1, 0, 4, 4, 0, 1, 0, 0, 2, 2, 4, 4, 4, 1, 4, 3, 3, 1, 1, 0, 3, 3, 0, 1, 4, 0, 4, 4, 4, 2, 4, 1, 4, 2, 2, 0, 4, 4, 1, 0, 1, 0, 4, 4, 4, 1, 2, 3, 0, 3, 0, 2, 2, 1, 0, 4, 0, 0, 1, 4, 1, 0, 1, 1, 0, 1, 4, 1, 4, 4, 0, 2, 1, 1, 3, 2, 2, 4, 4, 1, 4, 0, 2, 3, 1, 0, 2, 2, 1, 2, 3, 1, 2, 2, 0, 0, 4, 2, 2, 1, 1, 4, 4, 0, 3, 3, 3, 1, 0, 2, 2, 1, 2, 2, 2, 0, 3, 4, 3, 0, 2, 3, 3, 0, 2, 4, 1, 3, 3, 3, 2, 4, 2, 1, 2, 3, 4, 1, 3, 0, 4, 4, 3, 3, 1, 1, 1, 0, 1, 0, 4, 1, 4, 3, 1, 3, 3, 4, 1, 0, 2, 4, 4, 2, 2, 4, 1, 1, 4, 1, 3, 4, 2, 4, 0, 2, 2, 2, 1, 1, 3, 1, 0, 0, 4, 3, 3, 1, 1, 2, 2, 0, 4, 2, 1, 4, 3, 1, 1, 4, 2, 1, 2, 2, 4, 2, 2, 2, 0, 3, 1, 4, 0, 0, 1, 4, 1, 2, 2, 3, 0, 2, 0, 4, 3, 2, 4, 1, 3, 3, 0, 2, 2, 1, 2, 2, 1, 0, 4, 2, 3, 3, 2, 0, 1, 2, 1, 3, 0, 3, 3, 2, 1, 2, 4, 4, 1, 2, 0, 0, 2, 0, 3, 4, 0, 2, 3, 1, 3, 3, 3, 4, 4, 3, 1, 0, 2, 1, 3, 1, 1, 1, 1, 0, 1, 0, 3, 3, 1, 2, 3, 4, 4, 1, 1, 0, 0, 0, 2, 1, 0]
pubkeycol1591 = [2, 4, 0, 4, 1, 0, 1, 1, 3, 1, 2, 4, 3, 3, 1, 1, 4, 3, 2, 2, 1, 0, 2, 0, 4, 2, 0, 3, 2, 2, 4, 4, 2, 0, 2, 2, 4, 0, 0, 4, 4, 2, 4, 4, 3, 1, 0, 0, 3, 0, 3, 1, 2, 3, 1, 1, 1, 0, 1, 0, 1, 0, 4, 4, 4, 1, 2, 2, 2, 3, 1, 2, 0, 1, 4, 0, 1, 0, 3, 0, 2, 1, 0, 1, 0, 3, 1, 4, 1, 4, 3, 0, 1, 2, 0, 2, 1, 4, 0, 2, 1, 1, 4, 2, 0, 1, 3, 1, 2, 2, 2, 1, 3, 2, 0, 0, 2, 0, 4, 3, 1, 1, 1, 4, 2, 4, 1, 0, 1, 1, 1, 3, 1, 4, 4, 1, 1, 1, 1, 3, 2, 0, 3, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 3, 3, 4, 3, 2, 4, 2, 0, 4, 1, 3, 0, 0, 0, 3, 1, 2, 0, 1, 3, 4, 1, 0, 4, 0, 1, 1, 2, 3, 0, 3, 4, 0, 4, 4, 4, 0, 3, 3, 4, 2, 4, 4, 1, 1, 4, 4, 0, 1, 3, 4, 0, 3, 1, 4, 2, 1, 1, 1, 3, 2, 2, 4, 4, 2, 2, 1, 0, 4, 4, 1, 4, 3, 3, 2, 1, 2, 4, 3, 2, 2, 3, 0, 4, 3, 2, 0, 3, 2, 2, 4, 1, 4, 3, 3, 4, 4, 2, 3, 2, 4, 4, 4, 4, 4, 4, 1, 2, 1, 3, 2, 1, 3, 4, 2, 4, 2, 3, 4, 3, 4, 2, 4, 4, 3, 2, 1, 0, 1, 1, 2, 1, 3, 3, 1, 1, 2, 4, 0, 4, 0, 2, 4, 4, 2, 0, 3, 0, 3, 4, 3, 1, 0, 4, 4, 0, 4, 4, 2, 4, 4, 2, 0, 4, 0, 3, 3, 2, 4, 0, 4, 3, 4, 2, 3, 2, 0, 0, 1, 4, 3, 4, 0, 1, 0, 2, 1, 0, 4, 1, 4, 1, 4, 3, 0, 3, 3, 1, 3, 2, 0, 0, 4, 2, 0, 3, 1, 0, 3, 2, 4, 3, 4, 1, 4, 1, 1, 0, 2, 3, 4, 2, 0, 4, 0, 4, 2, 3, 3, 2, 3, 1, 0, 4, 2, 3, 4, 4, 2, 1, 2, 1, 4, 2, 0, 3, 1, 0, 1, 4, 1, 2, 2, 2, 2, 2, 3, 0, 1, 2, 4, 4, 0, 2, 1, 3, 2, 3, 0, 0, 1, 4, 0, 0, 0, 4, 3, 0, 4, 4, 0, 3, 1, 2, 3, 2, 1, 4, 2, 0, 1, 4, 1, 3, 4, 2, 0, 2, 1, 2, 0, 0, 1, 4, 1, 1, 0, 0, 3, 4, 4, 2, 4, 3, 4, 0, 3, 0, 2, 2, 0, 4, 0, 1, 3, 2, 2, 3, 0, 2, 3, 4, 1, 3, 1, 3, 4, 0, 1, 3, 0, 0, 3, 3, 0, 1, 4, 4, 4, 3, 3]
pubkeycol1592 = [2, 2, 0, 3, 1, 3, 0, 1, 1, 0, 3, 0, 2, 3, 1, 2, 1, 2, 1, 3, 1, 3, 0, 0, 2, 1, 2, 1, 4, 4, 2, 1, 3, 4, 0, 2, 1, 3, 4, 2, 2, 3, 1, 1, 0, 3, 4, 2, 3, 0, 3, 1, 1, 0, 2, 0, 1, 4, 3, 4, 0, 0, 2, 3, 0, 4, 3, 3, 3, 3, 4, 2, 0, 4, 4, 0, 1, 1, 1, 3, 0, 1, 2, 4, 3, 0, 0, 1, 2, 3, 4, 4, 3, 3, 3, 4, 2, 1, 3, 3, 0, 1, 0, 0, 3, 2, 2, 4, 3, 3, 3, 4, 3, 1, 1, 0, 3, 0, 4, 4, 2, 1, 1, 0, 0, 2, 2, 2, 1, 3, 3, 0, 4, 0, 0, 3, 0, 0, 1, 4, 1, 1, 4, 2, 4, 2, 4, 0, 3, 0, 4, 0, 4, 4, 0, 1, 0, 3, 4, 0, 2, 3, 3, 3, 4, 0, 2, 3, 1, 0, 0, 3, 3, 1, 4, 2, 1, 1, 4, 1, 4, 2, 3, 3, 2, 4, 1, 1, 0, 3, 2, 3, 0, 0, 0, 1, 1, 1, 4, 1, 1, 3, 2, 4, 1, 0, 1, 4, 3, 2, 4, 2, 1, 0, 0, 3, 1, 1, 1, 3, 0, 2, 1, 4, 3, 4, 3, 1, 4, 4, 1, 0, 1, 1, 0, 1, 2, 4, 3, 3, 2, 0, 4, 2, 0, 4, 4, 2, 0, 3, 4, 1, 3, 0, 3, 2, 1, 4, 0, 4, 0, 3, 1, 2, 1, 1, 1, 2, 4, 3, 2, 0, 2, 4, 2, 1, 3, 1, 4, 0, 1, 2, 0, 4, 4, 0, 0, 2, 3, 2, 0, 1, 2, 4, 0, 3, 1, 1, 3, 4, 1, 2, 2, 2, 4, 2, 1, 3, 3, 3, 2, 2, 0, 3, 2, 2, 1, 0, 1, 4, 3, 2, 0, 0, 3, 3, 0, 3, 4, 2, 2, 0, 2, 1, 0, 3, 2, 2, 0, 1, 3, 4, 0, 4, 0, 3, 4, 1, 0, 3, 1, 2, 1, 4, 1, 3, 0, 0, 4, 4, 0, 2, 4, 0, 2, 0, 4, 4, 4, 4, 1, 0, 0, 3, 1, 3, 2, 4, 3, 0, 3, 4, 0, 2, 4, 0, 1, 0, 1, 4, 2, 2, 1, 1, 4, 0, 4, 4, 2, 4, 3, 4, 2, 1, 2, 3, 1, 0, 0, 4, 2, 4, 3, 0, 3, 1, 4, 0, 1, 0, 3, 0, 0, 0, 2, 0, 1, 3, 2, 3, 3, 4, 4, 3, 3, 3, 3, 2, 0, 4, 3, 2, 0, 3, 3, 4, 3, 4, 2, 4, 1, 3, 4, 0, 4, 4, 1, 1, 4, 0, 3, 0, 3, 4, 0, 1, 4, 1, 3, 1, 4, 1, 4, 1, 1, 3, 2, 2, 3, 3, 3, 3, 4, 4, 1, 1, 4, 3, 2, 0, 2, 2, 0, 4, 1, 4, 1, 0, 1, 4, 0, 4, 4, 2, 4]
pubkeycol1593 = [1, 2, 1, 3, 4, 3, 2, 1, 1, 2, 0, 0, 0, 0, 3, 0, 0, 2, 1, 0, 1, 0, 1, 3, 3, 2, 2, 4, 0, 1, 1, 3, 3, 1, 2, 2, 1, 1, 3, 0, 3, 2, 0, 0, 2, 4, 3, 2, 2, 2, 2, 1, 0, 4, 4, 2, 4, 1, 3, 0, 1, 1, 2, 0, 2, 3, 0, 2, 2, 2, 1, 0, 2, 0, 4, 2, 1, 4, 4, 1, 0, 3, 0, 0, 2, 3, 1, 0, 3, 1, 0, 3, 1, 4, 1, 0, 4, 3, 2, 1, 2, 3, 3, 0, 0, 0, 3, 0, 1, 3, 3, 1, 3, 4, 2, 3, 0, 4, 0, 0, 0, 0, 3, 2, 4, 1, 3, 0, 0, 0, 3, 0, 3, 3, 3, 4, 1, 1, 4, 1, 2, 4, 4, 1, 2, 1, 4, 3, 2, 2, 2, 0, 0, 1, 4, 3, 1, 1, 4, 4, 3, 2, 4, 2, 1, 2, 2, 3, 3, 1, 1, 1, 0, 3, 3, 1, 2, 2, 1, 1, 2, 2, 2, 1, 3, 1, 0, 1, 3, 2, 1, 4, 2, 4, 0, 4, 3, 4, 4, 3, 3, 2, 1, 2, 4, 0, 0, 0, 0, 3, 1, 1, 4, 3, 2, 2, 1, 4, 2, 1, 3, 0, 4, 1, 3, 3, 0, 4, 4, 3, 0, 2, 2, 1, 1, 0, 0, 1, 3, 0, 0, 0, 2, 4, 0, 2, 1, 1, 4, 1, 1, 1, 0, 1, 1, 2, 0, 3, 1, 0, 3, 2, 0, 1, 2, 0, 0, 1, 1, 4, 2, 2, 2, 2, 4, 1, 2, 1, 3, 0, 4, 2, 0, 1, 0, 3, 0, 4, 1, 3, 0, 2, 1, 3, 1, 4, 0, 2, 1, 1, 3, 2, 4, 2, 3, 0, 3, 3, 1, 2, 3, 2, 3, 0, 3, 1, 0, 3, 4, 3, 0, 0, 0, 0, 4, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 4, 0, 3, 4, 0, 2, 1, 4, 4, 3, 0, 0, 2, 3, 3, 1, 4, 1, 0, 3, 0, 3, 3, 1, 3, 4, 1, 4, 3, 2, 2, 2, 0, 1, 2, 4, 0, 4, 2, 0, 0, 3, 2, 1, 0, 2, 2, 3, 4, 2, 0, 4, 4, 0, 3, 4, 4, 0, 3, 0, 1, 0, 1, 4, 3, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 3, 4, 2, 0, 4, 4, 3, 2, 4, 3, 4, 0, 2, 1, 1, 1, 3, 2, 2, 1, 1, 2, 3, 1, 4, 3, 3, 0, 2, 4, 1, 4, 0, 3, 2, 2, 3, 2, 1, 1, 4, 4, 1, 3, 4, 0, 0, 4, 3, 2, 1, 1, 2, 1, 2, 4, 3, 1, 0, 1, 2, 3, 4, 2, 3, 0, 3, 1, 1, 1, 1, 2, 0, 3, 0, 3, 2, 0, 3, 2, 2, 2, 2, 4, 2, 1, 3, 3]
pubkeycol1594 = [2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 3, 2, 4, 3, 3, 4, 1, 1, 1, 4, 0, 0, 0, 4, 4, 1, 0, 2, 2, 3, 0, 2, 2, 4, 4, 3, 2, 2, 0, 4, 1, 3, 2, 2, 3, 0, 4, 0, 4, 3, 0, 3, 1, 4, 2, 3, 3, 3, 3, 1, 2, 3, 2, 0, 3, 2, 3, 3, 3, 1, 2, 3, 2, 1, 0, 1, 2, 1, 3, 4, 1, 2, 0, 3, 3, 0, 3, 2, 3, 1, 0, 3, 1, 3, 4, 4, 4, 2, 3, 4, 1, 3, 0, 0, 4, 1, 2, 1, 4, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 3, 0, 0, 2, 2, 1, 2, 0, 0, 2, 3, 0, 4, 4, 1, 4, 2, 0, 0, 3, 1, 2, 0, 0, 4, 3, 4, 2, 1, 1, 2, 1, 1, 2, 3, 0, 4, 2, 4, 4, 3, 3, 3, 3, 4, 2, 0, 4, 0, 1, 2, 2, 2, 3, 2, 1, 1, 0, 0, 3, 1, 0, 0, 0, 0, 3, 1, 4, 4, 1, 4, 2, 3, 2, 4, 3, 2, 3, 3, 3, 0, 2, 2, 2, 1, 2, 1, 2, 2, 4, 0, 2, 3, 1, 1, 4, 1, 3, 3, 3, 1, 0, 3, 4, 1, 4, 1, 3, 4, 4, 1, 0, 1, 4, 1, 0, 1, 3, 2, 0, 4, 4, 3, 2, 2, 3, 2, 3, 3, 3, 2, 4, 4, 4, 4, 3, 1, 4, 3, 0, 1, 1, 2, 2, 0, 2, 4, 2, 3, 0, 4, 1, 3, 4, 4, 0, 1, 4, 2, 2, 2, 0, 4, 0, 1, 0, 1, 2, 2, 3, 2, 2, 0, 0, 0, 0, 1, 4, 4, 4, 3, 1, 4, 2, 3, 2, 2, 2, 3, 0, 1, 2, 0, 2, 2, 4, 1, 3, 0, 4, 1, 2, 4, 1, 2, 4, 3, 1, 4, 1, 4, 3, 0, 2, 4, 2, 1, 2, 4, 2, 2, 1, 0, 0, 4, 2, 4, 3, 1, 2, 2, 2, 3, 2, 4, 2, 2, 0, 3, 0, 4, 4, 2, 3, 1, 2, 2, 1, 2, 4, 1, 1, 4, 1, 2, 1, 1, 2, 3, 1, 2, 0, 0, 3, 3, 4, 2, 0, 1, 2, 4, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 4, 4, 4, 2, 3, 4, 2, 2, 1, 3, 3, 1, 1, 3, 2, 4, 3, 2, 0, 2, 0, 4, 3, 1, 1, 3, 1, 4, 3, 4, 0, 0, 1, 3, 2, 1, 4, 1, 3, 4, 2, 4, 4, 0, 4, 1, 2, 0, 4, 3, 3, 3, 1, 2, 3, 2, 4, 1, 3, 1, 2, 4, 0, 0, 3, 3, 0, 1, 3, 4, 1, 3, 3, 4, 2, 3, 2, 0, 4, 4, 3, 4, 0, 4, 3, 2, 4, 2, 0, 2, 2, 4, 0, 1, 4, 4, 4, 0]
pubkeycol1595 = [1, 1, 2, 1, 1, 0, 3, 0, 2, 4, 0, 0, 2, 3, 2, 1, 3, 4, 1, 4, 3, 2, 3, 1, 1, 0, 3, 1, 2, 3, 4, 3, 0, 2, 2, 3, 2, 2, 3, 4, 1, 4, 3, 2, 3, 2, 3, 1, 3, 1, 0, 4, 1, 2, 0, 3, 4, 3, 2, 3, 4, 0, 4, 1, 1, 3, 3, 0, 0, 4, 3, 1, 4, 2, 3, 2, 4, 0, 0, 4, 1, 3, 2, 2, 2, 0, 3, 3, 3, 2, 4, 3, 3, 3, 2, 4, 1, 2, 2, 2, 2, 1, 0, 3, 4, 1, 1, 1, 2, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 3, 0, 3, 4, 0, 2, 4, 0, 0, 0, 1, 4, 4, 4, 3, 3, 2, 1, 1, 1, 3, 3, 3, 0, 3, 2, 1, 0, 0, 2, 0, 3, 0, 4, 2, 0, 2, 2, 4, 0, 0, 2, 0, 2, 3, 3, 3, 1, 1, 1, 0, 2, 1, 0, 0, 4, 4, 4, 3, 1, 0, 0, 3, 0, 2, 3, 1, 4, 2, 3, 0, 4, 2, 2, 3, 4, 4, 3, 3, 3, 1, 2, 2, 1, 4, 3, 0, 1, 3, 3, 2, 2, 2, 1, 1, 3, 2, 0, 2, 3, 4, 2, 2, 2, 3, 2, 0, 1, 1, 3, 4, 0, 1, 0, 3, 3, 3, 3, 2, 0, 0, 4, 4, 3, 3, 2, 0, 4, 0, 1, 0, 1, 3, 2, 1, 1, 3, 2, 0, 3, 3, 4, 4, 1, 0, 3, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 4, 3, 1, 0, 4, 1, 2, 2, 1, 0, 2, 4, 4, 4, 0, 1, 2, 2, 1, 0, 1, 0, 1, 4, 0, 4, 4, 3, 3, 1, 0, 0, 2, 1, 4, 0, 1, 2, 2, 3, 4, 3, 4, 4, 3, 1, 4, 1, 1, 0, 1, 4, 4, 2, 4, 2, 0, 0, 3, 1, 3, 0, 1, 0, 1, 3, 0, 3, 3, 2, 1, 0, 1, 4, 4, 2, 4, 4, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 3, 3, 0, 2, 0, 4, 0, 4, 4, 3, 2, 1, 0, 3, 2, 0, 3, 0, 3, 0, 2, 3, 0, 1, 0, 4, 1, 1, 1, 1, 3, 4, 1, 1, 3, 1, 1, 3, 1, 0, 0, 3, 0, 2, 3, 1, 2, 2, 1, 2, 0, 4, 3, 2, 3, 3, 3, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 3, 1, 3, 4, 2, 1, 4, 2, 3, 0, 3, 1, 2, 0, 4, 4, 2, 4, 1, 2, 3, 3, 4, 4, 4, 2, 4, 0, 2, 0, 1, 0, 1, 2, 1, 4, 2, 2, 2, 0, 2, 4, 0, 1, 2, 3, 2, 1, 3, 0, 4, 4, 4, 3, 0, 2, 4, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2]
pubkeycol1596 = [2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 4, 3, 2, 2, 0, 2, 3, 1, 1, 1, 3, 3, 1, 2, 2, 2, 1, 4, 0, 1, 0, 4, 0, 4, 2, 0, 1, 3, 1, 4, 2, 3, 0, 1, 3, 2, 3, 1, 2, 4, 0, 2, 4, 2, 2, 4, 2, 0, 3, 2, 0, 1, 1, 3, 3, 2, 3, 1, 1, 4, 4, 1, 4, 1, 4, 1, 0, 2, 3, 0, 4, 1, 0, 2, 3, 0, 0, 2, 1, 0, 0, 1, 0, 4, 0, 1, 4, 4, 2, 1, 2, 1, 2, 0, 4, 1, 4, 1, 4, 4, 3, 2, 3, 2, 1, 2, 0, 4, 0, 4, 4, 2, 1, 4, 2, 3, 0, 0, 4, 1, 2, 3, 3, 4, 4, 3, 4, 1, 3, 3, 2, 0, 4, 1, 0, 0, 4, 0, 4, 2, 2, 0, 4, 4, 1, 2, 1, 0, 0, 0, 4, 3, 3, 1, 4, 3, 2, 4, 3, 4, 1, 3, 3, 4, 4, 2, 3, 2, 0, 3, 2, 2, 2, 0, 4, 1, 3, 0, 0, 2, 2, 1, 0, 3, 1, 3, 1, 1, 0, 1, 1, 3, 3, 3, 4, 3, 2, 3, 0, 3, 0, 4, 2, 1, 1, 0, 3, 3, 2, 1, 0, 3, 2, 0, 0, 3, 4, 3, 0, 1, 3, 3, 3, 4, 2, 1, 0, 2, 2, 1, 0, 3, 1, 2, 1, 0, 4, 4, 0, 0, 1, 1, 4, 4, 2, 0, 2, 1, 2, 2, 3, 4, 3, 3, 3, 0, 0, 1, 3, 1, 1, 1, 2, 1, 2, 4, 0, 3, 4, 3, 2, 1, 4, 3, 1, 2, 4, 2, 4, 3, 4, 3, 4, 2, 0, 1, 4, 0, 3, 3, 1, 2, 1, 3, 3, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 4, 1, 1, 0, 1, 3, 2, 2, 4, 2, 2, 4, 0, 2, 3, 3, 3, 4, 1, 0, 3, 1, 1, 1, 3, 3, 4, 1, 3, 1, 3, 3, 4, 4, 1, 2, 2, 1, 0, 0, 0, 0, 2, 3, 3, 1, 4, 0, 3, 3, 0, 4, 0, 2, 4, 2, 1, 3, 4, 0, 4, 0, 3, 4, 1, 3, 2, 3, 4, 3, 2, 1, 1, 2, 3, 3, 1, 1, 4, 4, 2, 3, 1, 4, 4, 4, 0, 0, 0, 4, 0, 3, 2, 3, 2, 3, 2, 4, 4, 3, 1, 0, 2, 0, 3, 4, 0, 4, 4, 1, 1, 3, 0, 0, 2, 2, 0, 3, 2, 3, 0, 0, 2, 2, 2, 1, 1, 1, 3, 3, 4, 2, 3, 2, 0, 4, 1, 3, 0, 0, 3, 0, 0, 1, 0, 2, 1, 1, 4, 0, 2, 0, 3, 2, 3, 2, 2, 0, 1, 3, 3, 2, 1, 4, 0, 2, 0, 1, 3, 3, 4, 0, 2, 2, 4, 3, 2, 0, 0, 2, 1, 0, 3, 2, 4, 4, 0, 1]
pubkeycol1597 = [4, 1, 1, 0, 4, 4, 3, 3, 0, 0, 2, 1, 3, 3, 0, 2, 3, 0, 4, 2, 4, 3, 2, 0, 3, 0, 4, 3, 3, 4, 1, 1, 4, 3, 3, 2, 4, 2, 2, 4, 0, 2, 3, 0, 2, 3, 3, 1, 4, 3, 3, 0, 0, 0, 3, 0, 4, 2, 1, 1, 2, 1, 2, 1, 2, 2, 4, 0, 1, 0, 2, 2, 1, 3, 1, 4, 0, 0, 4, 0, 4, 0, 4, 2, 2, 3, 1, 4, 0, 2, 1, 4, 0, 3, 1, 3, 0, 3, 0, 1, 2, 1, 1, 1, 0, 3, 4, 0, 4, 1, 3, 2, 1, 1, 1, 4, 2, 3, 4, 3, 1, 3, 1, 0, 1, 4, 4, 0, 0, 2, 3, 3, 1, 0, 1, 4, 4, 3, 2, 3, 1, 1, 3, 1, 2, 2, 3, 3, 4, 4, 1, 1, 0, 1, 1, 0, 0, 4, 1, 1, 4, 3, 3, 3, 0, 4, 1, 0, 1, 3, 0, 3, 0, 2, 2, 3, 3, 0, 2, 3, 4, 0, 3, 3, 4, 4, 2, 2, 1, 2, 4, 1, 3, 3, 4, 0, 3, 4, 2, 3, 1, 2, 0, 1, 4, 1, 1, 4, 4, 4, 4, 1, 1, 1, 2, 4, 0, 0, 1, 4, 3, 0, 1, 3, 4, 4, 1, 4, 2, 2, 2, 2, 0, 2, 3, 0, 1, 2, 4, 1, 4, 1, 2, 2, 3, 2, 0, 3, 4, 0, 4, 1, 3, 0, 2, 4, 3, 3, 2, 3, 0, 4, 1, 0, 0, 2, 2, 3, 1, 3, 0, 3, 0, 2, 4, 1, 2, 3, 3, 2, 1, 1, 3, 0, 0, 3, 4, 3, 4, 0, 3, 0, 1, 3, 4, 2, 3, 2, 1, 1, 0, 0, 0, 2, 0, 2, 3, 4, 3, 3, 3, 4, 2, 1, 1, 1, 0, 4, 0, 1, 4, 3, 2, 1, 3, 0, 2, 4, 0, 0, 2, 1, 2, 2, 1, 3, 4, 2, 4, 1, 2, 0, 0, 2, 0, 3, 0, 1, 3, 0, 2, 1, 1, 0, 1, 1, 2, 3, 1, 1, 0, 3, 1, 3, 4, 0, 2, 3, 1, 1, 2, 0, 1, 2, 0, 1, 3, 2, 3, 1, 4, 0, 1, 4, 0, 0, 3, 3, 2, 2, 0, 3, 1, 3, 1, 3, 3, 1, 0, 3, 4, 4, 2, 4, 3, 3, 4, 4, 2, 3, 1, 3, 1, 3, 2, 1, 2, 1, 4, 4, 3, 0, 0, 4, 3, 3, 4, 0, 3, 0, 0, 3, 2, 3, 0, 0, 1, 2, 3, 4, 2, 0, 1, 3, 0, 1, 1, 1, 4, 4, 3, 0, 3, 0, 4, 0, 3, 3, 0, 2, 2, 0, 1, 0, 4, 2, 3, 4, 0, 2, 4, 2, 3, 4, 1, 2, 0, 4, 1, 3, 2, 2, 0, 4, 0, 2, 4, 3, 1, 3, 4, 4, 1, 3, 3, 0, 3, 2, 3, 0, 4, 3, 3, 4, 4]
pubkeycol1598 = [1, 2, 3, 2, 4, 2, 2, 1, 1, 4, 2, 1, 2, 0, 2, 4, 4, 4, 0, 2, 1, 3, 4, 3, 1, 3, 4, 0, 3, 1, 0, 3, 4, 0, 3, 3, 4, 2, 2, 1, 0, 3, 3, 4, 2, 4, 3, 2, 3, 3, 4, 0, 3, 0, 3, 2, 1, 2, 4, 3, 3, 0, 0, 1, 1, 0, 0, 4, 1, 0, 3, 0, 4, 2, 2, 3, 3, 4, 2, 2, 3, 4, 3, 4, 4, 1, 4, 2, 3, 3, 4, 1, 2, 3, 0, 2, 4, 1, 3, 4, 2, 0, 0, 3, 2, 1, 4, 4, 1, 0, 3, 0, 1, 1, 1, 0, 3, 4, 4, 3, 4, 3, 2, 2, 2, 4, 0, 4, 1, 2, 2, 0, 4, 4, 2, 3, 0, 2, 2, 0, 1, 3, 2, 4, 3, 2, 0, 0, 4, 3, 0, 0, 3, 3, 2, 1, 0, 0, 0, 3, 2, 4, 0, 3, 2, 4, 3, 0, 0, 2, 2, 4, 1, 2, 3, 3, 4, 4, 1, 4, 2, 2, 0, 3, 4, 4, 2, 0, 0, 3, 2, 4, 3, 2, 2, 0, 2, 1, 0, 4, 0, 0, 3, 0, 0, 2, 2, 0, 4, 1, 3, 3, 4, 3, 0, 1, 1, 2, 2, 4, 1, 4, 3, 0, 2, 3, 1, 4, 3, 1, 4, 0, 3, 1, 2, 2, 2, 0, 4, 3, 0, 2, 4, 1, 0, 3, 3, 0, 2, 3, 3, 4, 2, 2, 4, 1, 4, 3, 4, 0, 2, 0, 1, 2, 4, 3, 0, 1, 1, 4, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 4, 3, 3, 0, 2, 2, 4, 2, 2, 2, 3, 3, 0, 3, 4, 3, 3, 1, 4, 1, 2, 0, 2, 2, 3, 1, 2, 1, 2, 3, 2, 3, 1, 1, 1, 3, 0, 4, 3, 3, 3, 1, 3, 3, 3, 1, 2, 2, 1, 3, 0, 3, 0, 2, 0, 2, 0, 0, 1, 3, 2, 1, 3, 0, 3, 3, 2, 0, 3, 1, 0, 1, 2, 1, 2, 2, 2, 4, 4, 0, 3, 3, 4, 1, 0, 0, 3, 1, 0, 1, 1, 0, 3, 1, 0, 3, 1, 4, 2, 0, 0, 4, 0, 3, 0, 4, 3, 2, 0, 4, 4, 3, 3, 0, 2, 4, 4, 2, 1, 4, 1, 3, 3, 0, 1, 3, 3, 2, 3, 2, 0, 0, 4, 3, 2, 0, 3, 2, 3, 3, 3, 0, 2, 3, 4, 3, 2, 0, 3, 0, 2, 4, 4, 4, 0, 2, 3, 1, 3, 1, 1, 3, 3, 3, 4, 4, 3, 1, 2, 0, 3, 3, 0, 3, 4, 1, 3, 3, 0, 1, 3, 0, 1, 4, 0, 2, 2, 3, 0, 0, 4, 2, 0, 1, 2, 4, 3, 2, 3, 4, 0, 3, 3, 2, 1, 1, 0, 0, 0, 2, 3, 2, 0, 4, 0]
pubkeycol1599 = [4, 0, 1, 1, 0, 2, 0, 4, 3, 1, 2, 2, 2, 1, 4, 3, 0, 3, 3, 1, 2, 3, 1, 4, 2, 3, 4, 1, 2, 3, 1, 3, 1, 4, 2, 0, 3, 3, 4, 0, 0, 2, 1, 0, 2, 3, 4, 0, 3, 3, 1, 2, 2, 4, 3, 1, 3, 3, 2, 3, 3, 4, 3, 2, 0, 4, 3, 0, 3, 2, 3, 2, 2, 3, 3, 1, 1, 1, 3, 1, 1, 3, 3, 1, 0, 1, 0, 0, 4, 4, 1, 2, 4, 3, 3, 1, 1, 2, 4, 0, 1, 4, 0, 0, 4, 0, 2, 4, 3, 1, 4, 4, 4, 0, 3, 1, 4, 3, 1, 1, 0, 4, 3, 2, 3, 1, 1, 0, 3, 3, 2, 2, 2, 4, 3, 3, 0, 3, 4, 4, 4, 0, 3, 1, 2, 1, 1, 2, 2, 4, 4, 2, 3, 0, 4, 2, 1, 4, 0, 0, 4, 4, 2, 3, 2, 1, 0, 2, 4, 2, 4, 3, 1, 1, 4, 4, 0, 3, 3, 3, 2, 0, 0, 1, 3, 2, 0, 0, 4, 3, 4, 0, 1, 0, 4, 0, 1, 2, 2, 1, 0, 3, 4, 1, 2, 4, 2, 3, 0, 0, 1, 2, 4, 3, 2, 2, 0, 0, 0, 0, 3, 3, 1, 0, 1, 0, 1, 4, 0, 0, 3, 0, 2, 0, 2, 0, 1, 0, 2, 3, 3, 2, 3, 0, 4, 1, 0, 3, 3, 0, 4, 1, 2, 1, 0, 0, 0, 2, 4, 0, 4, 2, 1, 0, 2, 2, 1, 3, 4, 2, 2, 4, 2, 1, 4, 3, 3, 1, 2, 2, 2, 4, 3, 0, 2, 0, 3, 4, 3, 1, 0, 1, 4, 2, 2, 2, 2, 0, 1, 0, 3, 3, 3, 0, 4, 2, 2, 2, 4, 0, 4, 3, 0, 4, 0, 3, 0, 1, 4, 4, 1, 2, 4, 3, 2, 4, 2, 2, 3, 4, 2, 3, 0, 0, 4, 4, 1, 0, 2, 2, 4, 1, 3, 2, 2, 2, 1, 2, 3, 3, 0, 4, 0, 0, 1, 2, 1, 2, 0, 1, 4, 1, 4, 3, 0, 3, 1, 0, 3, 1, 1, 3, 1, 3, 3, 1, 3, 2, 0, 4, 0, 0, 3, 1, 2, 1, 3, 4, 1, 4, 3, 2, 3, 0, 1, 3, 1, 4, 3, 4, 0, 2, 2, 1, 3, 0, 1, 2, 0, 1, 3, 4, 2, 4, 3, 2, 4, 0, 1, 4, 0, 4, 1, 2, 3, 4, 0, 4, 0, 0, 2, 2, 4, 3, 0, 3, 3, 4, 2, 2, 2, 1, 4, 0, 2, 2, 3, 2, 0, 4, 1, 1, 0, 0, 1, 3, 4, 4, 4, 0, 3, 0, 2, 0, 3, 2, 4, 1, 4, 3, 1, 2, 2, 4, 3, 1, 2, 4, 4, 4, 0, 2, 2, 3, 2, 4, 3, 4, 1, 4, 2, 4, 2, 1, 3, 1, 4, 4, 3, 2, 4, 2, 1, 0, 2]
pubkeycol1600 = [3, 0, 3, 4, 1, 2, 0, 4, 0, 4, 2, 2, 1, 4, 4, 0, 3, 2, 2, 0, 4, 4, 4, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 4, 2, 3, 2, 1, 2, 3, 2, 0, 2, 4, 2, 4, 4, 3, 0, 0, 1, 1, 3, 2, 0, 1, 0, 0, 1, 2, 0, 3, 4, 3, 3, 0, 4, 4, 2, 3, 4, 3, 4, 0, 2, 3, 3, 0, 3, 2, 1, 3, 0, 3, 4, 2, 1, 1, 4, 3, 4, 2, 2, 2, 1, 0, 0, 4, 4, 4, 4, 1, 2, 0, 3, 0, 3, 4, 1, 1, 4, 4, 1, 3, 2, 4, 1, 0, 4, 4, 0, 3, 1, 3, 1, 1, 1, 2, 2, 3, 2, 1, 1, 4, 4, 1, 1, 1, 2, 3, 3, 4, 0, 4, 1, 1, 3, 0, 4, 4, 2, 2, 0, 2, 2, 0, 1, 1, 4, 3, 0, 4, 1, 4, 2, 4, 3, 3, 0, 2, 3, 1, 2, 3, 4, 0, 3, 2, 4, 1, 2, 1, 1, 1, 1, 2, 0, 3, 0, 2, 3, 0, 2, 3, 2, 4, 1, 1, 2, 1, 0, 2, 3, 3, 0, 1, 3, 0, 4, 0, 2, 1, 3, 4, 2, 0, 2, 4, 3, 1, 1, 0, 0, 2, 1, 2, 1, 3, 4, 0, 3, 3, 4, 3, 4, 3, 1, 0, 4, 2, 1, 1, 4, 4, 4, 2, 0, 2, 2, 4, 3, 0, 2, 3, 1, 4, 2, 4, 0, 2, 0, 3, 2, 4, 0, 3, 0, 2, 2, 3, 1, 0, 0, 4, 1, 0, 2, 3, 3, 0, 4, 3, 3, 1, 3, 2, 3, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 4, 2, 3, 3, 2, 1, 1, 3, 4, 4, 4, 0, 0, 3, 0, 2, 2, 2, 3, 2, 3, 4, 1, 0, 3, 2, 0, 3, 3, 0, 2, 4, 4, 3, 1, 2, 3, 1, 1, 2, 3, 3, 1, 0, 3, 0, 2, 1, 4, 1, 4, 0, 2, 2, 4, 0, 4, 0, 3, 0, 0, 1, 0, 1, 3, 1, 1, 1, 1, 0, 1, 2, 3, 3, 1, 3, 4, 4, 4, 2, 2, 4, 0, 4, 4, 2, 1, 1, 0, 4, 0, 2, 2, 4, 2, 2, 1, 0, 1, 4, 1, 2, 4, 1, 2, 1, 3, 3, 2, 3, 4, 2, 3, 1, 4, 0, 1, 1, 0, 3, 3, 3, 0, 1, 3, 1, 2, 3, 1, 2, 1, 0, 1, 0, 2, 3, 1, 0, 4, 2, 4, 2, 3, 1, 1, 4, 4, 1, 2, 2, 3, 1, 0, 0, 4, 1, 0, 1, 3, 0, 4, 4, 0, 2, 2, 0, 3, 3, 4, 2, 3, 0, 3, 4, 2, 4, 3, 4, 4, 2, 4, 3, 2, 1, 3, 1, 2, 3, 1, 4, 3, 4, 1, 0, 3, 3, 1, 2, 1, 3, 4, 3, 0]
pubkeycol1601 = [1, 0, 1, 3, 4, 4, 3, 3, 1, 0, 3, 0, 4, 0, 1, 4, 3, 1, 4, 3, 1, 0, 2, 3, 1, 2, 4, 4, 2, 3, 2, 0, 0, 4, 4, 2, 4, 3, 3, 2, 4, 1, 0, 0, 4, 0, 1, 2, 2, 2, 4, 3, 4, 2, 2, 0, 4, 3, 4, 3, 3, 2, 3, 4, 2, 1, 3, 2, 3, 4, 1, 0, 3, 0, 0, 0, 0, 1, 3, 4, 3, 1, 2, 2, 4, 1, 4, 4, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 4, 1, 0, 0, 1, 4, 0, 4, 4, 2, 3, 2, 0, 2, 4, 4, 1, 4, 0, 4, 4, 1, 3, 1, 2, 0, 1, 0, 3, 3, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 4, 1, 4, 0, 1, 2, 4, 2, 2, 0, 0, 2, 3, 2, 4, 4, 3, 2, 2, 0, 1, 2, 4, 0, 0, 3, 1, 4, 0, 0, 4, 4, 1, 0, 0, 3, 3, 2, 4, 1, 2, 1, 1, 3, 1, 0, 0, 4, 3, 3, 3, 2, 3, 0, 4, 4, 2, 0, 4, 4, 4, 3, 1, 4, 2, 2, 2, 3, 1, 0, 4, 4, 2, 4, 0, 3, 3, 0, 3, 4, 1, 3, 2, 1, 1, 1, 2, 3, 3, 0, 2, 3, 0, 3, 2, 1, 1, 3, 1, 4, 4, 1, 0, 1, 3, 1, 0, 0, 0, 4, 4, 3, 4, 0, 0, 2, 1, 2, 3, 3, 2, 2, 0, 2, 2, 1, 2, 4, 4, 0, 2, 1, 1, 3, 2, 0, 3, 0, 2, 2, 0, 0, 4, 0, 4, 1, 0, 2, 2, 0, 0, 4, 3, 1, 4, 0, 3, 4, 1, 0, 1, 1, 1, 0, 0, 4, 2, 3, 3, 4, 2, 1, 3, 1, 0, 4, 3, 1, 1, 3, 3, 2, 2, 0, 4, 4, 4, 1, 3, 4, 3, 4, 1, 2, 0, 4, 0, 1, 4, 1, 3, 3, 2, 2, 0, 0, 3, 4, 3, 0, 1, 0, 4, 4, 3, 4, 3, 3, 3, 1, 3, 1, 3, 3, 0, 0, 4, 0, 0, 2, 2, 2, 4, 4, 4, 0, 1, 4, 4, 3, 2, 2, 3, 1, 0, 2, 2, 4, 3, 2, 0, 3, 4, 4, 3, 3, 0, 0, 1, 1, 1, 0, 4, 3, 2, 2, 1, 1, 0, 0, 3, 1, 0, 1, 0, 4, 1, 1, 4, 0, 2, 1, 3, 0, 1, 2, 1, 4, 4, 1, 2, 1, 4, 1, 1, 3, 2, 1, 4, 2, 4, 4, 4, 3, 1, 3, 0, 3, 1, 4, 2, 1, 1, 4, 4, 2, 1, 4, 2, 3, 1, 1, 3, 0, 0, 3, 2, 3, 0, 3, 3, 0, 3, 3, 0, 2, 0, 3, 4, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 3, 1, 3, 0, 0, 2, 0, 0, 2, 3, 3, 0, 1, 2, 3, 0, 1, 3]
pubkeycol1602 = [3, 2, 1, 4, 2, 0, 4, 1, 4, 4, 4, 4, 2, 0, 1, 2, 4, 1, 0, 0, 2, 3, 4, 3, 0, 4, 4, 3, 2, 1, 2, 0, 3, 0, 4, 4, 0, 3, 3, 1, 2, 2, 2, 4, 1, 2, 1, 2, 4, 1, 3, 4, 2, 1, 4, 4, 3, 1, 3, 3, 0, 0, 1, 1, 2, 2, 3, 4, 3, 4, 1, 0, 2, 3, 3, 3, 0, 2, 2, 4, 2, 3, 3, 3, 0, 2, 3, 0, 4, 0, 4, 0, 1, 4, 0, 4, 1, 4, 0, 0, 1, 0, 0, 2, 0, 2, 2, 4, 0, 1, 1, 3, 3, 2, 1, 1, 4, 3, 4, 3, 0, 1, 1, 4, 4, 1, 1, 0, 0, 0, 1, 4, 4, 3, 0, 1, 1, 3, 0, 1, 3, 2, 4, 0, 2, 1, 3, 4, 0, 2, 3, 4, 4, 0, 4, 4, 4, 4, 3, 2, 2, 2, 2, 1, 1, 4, 3, 1, 3, 2, 1, 4, 0, 0, 0, 2, 3, 4, 4, 4, 2, 2, 1, 3, 0, 4, 4, 4, 2, 0, 0, 1, 4, 2, 1, 2, 2, 2, 3, 4, 4, 2, 1, 2, 4, 2, 3, 4, 1, 2, 3, 2, 3, 2, 2, 1, 4, 3, 2, 1, 3, 2, 1, 0, 4, 0, 4, 2, 2, 3, 4, 1, 2, 0, 2, 4, 3, 0, 1, 4, 0, 1, 0, 3, 3, 4, 4, 1, 1, 1, 4, 2, 2, 3, 0, 3, 2, 0, 2, 4, 2, 3, 3, 2, 3, 4, 3, 2, 1, 3, 2, 0, 1, 1, 0, 4, 1, 4, 3, 4, 0, 0, 0, 4, 4, 0, 1, 3, 1, 2, 0, 3, 1, 1, 0, 1, 1, 4, 2, 1, 4, 3, 3, 1, 3, 1, 0, 4, 1, 1, 2, 0, 2, 0, 3, 4, 0, 0, 3, 1, 0, 3, 2, 2, 4, 2, 2, 3, 3, 1, 3, 0, 1, 0, 0, 3, 3, 3, 2, 1, 4, 3, 3, 4, 1, 4, 0, 2, 1, 3, 3, 1, 1, 3, 3, 0, 1, 4, 3, 1, 1, 0, 3, 3, 2, 1, 0, 2, 1, 1, 2, 1, 3, 3, 1, 1, 2, 4, 1, 3, 1, 3, 2, 3, 1, 4, 3, 1, 0, 0, 0, 1, 1, 1, 3, 2, 2, 1, 2, 2, 0, 3, 0, 2, 3, 0, 2, 3, 1, 1, 0, 1, 4, 2, 2, 0, 3, 3, 4, 1, 2, 4, 2, 1, 1, 4, 2, 4, 2, 2, 3, 1, 2, 4, 2, 0, 0, 3, 4, 0, 0, 2, 0, 1, 4, 1, 3, 1, 4, 3, 1, 4, 3, 3, 1, 2, 0, 2, 1, 3, 4, 2, 0, 2, 0, 4, 4, 1, 2, 4, 0, 2, 4, 1, 2, 4, 0, 4, 4, 1, 4, 0, 4, 4, 2, 2, 4, 3, 0, 3, 3, 2, 4, 0, 2, 4, 2, 0, 0, 0, 0, 2, 1, 2, 3]
pubkeycol1603 = [3, 3, 2, 3, 4, 2, 3, 0, 3, 2, 3, 4, 1, 3, 0, 4, 4, 4, 1, 1, 0, 4, 3, 4, 1, 2, 0, 1, 4, 3, 4, 4, 0, 1, 3, 0, 3, 0, 4, 0, 1, 4, 3, 3, 3, 2, 0, 2, 3, 0, 0, 1, 1, 3, 3, 2, 1, 1, 3, 2, 4, 0, 0, 1, 3, 3, 2, 1, 4, 0, 2, 2, 2, 4, 4, 2, 2, 1, 0, 3, 1, 2, 3, 2, 2, 1, 2, 0, 0, 4, 0, 1, 0, 2, 4, 0, 0, 0, 4, 3, 4, 1, 2, 4, 4, 2, 1, 2, 2, 3, 3, 3, 4, 2, 4, 1, 3, 2, 2, 1, 3, 1, 2, 4, 0, 0, 4, 1, 0, 1, 0, 3, 2, 4, 3, 2, 2, 0, 0, 0, 0, 3, 3, 2, 2, 2, 4, 3, 4, 3, 2, 1, 4, 3, 1, 2, 1, 2, 1, 3, 4, 1, 0, 1, 4, 1, 4, 0, 1, 0, 2, 1, 4, 2, 1, 3, 4, 2, 0, 2, 1, 2, 1, 3, 4, 4, 0, 1, 2, 1, 4, 4, 3, 4, 0, 1, 1, 4, 0, 4, 0, 4, 1, 1, 4, 3, 4, 1, 3, 2, 1, 0, 1, 2, 3, 4, 3, 4, 1, 3, 0, 3, 0, 4, 4, 0, 3, 1, 1, 3, 3, 4, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 3, 3, 0, 3, 2, 3, 1, 3, 0, 4, 2, 4, 1, 0, 4, 1, 1, 3, 1, 0, 0, 2, 3, 0, 2, 1, 2, 2, 1, 0, 4, 1, 2, 1, 4, 3, 1, 1, 4, 3, 2, 2, 4, 3, 1, 3, 4, 0, 3, 1, 0, 3, 0, 1, 1, 2, 1, 3, 4, 1, 3, 0, 0, 3, 4, 3, 3, 2, 4, 2, 3, 2, 0, 0, 3, 3, 0, 0, 0, 4, 1, 4, 0, 3, 4, 3, 0, 4, 1, 1, 0, 2, 3, 3, 4, 2, 4, 2, 4, 2, 1, 1, 4, 1, 1, 3, 4, 4, 0, 1, 1, 2, 0, 1, 3, 3, 0, 4, 0, 0, 3, 0, 3, 0, 3, 1, 1, 2, 1, 3, 1, 0, 3, 1, 2, 3, 4, 2, 2, 2, 0, 4, 0, 2, 2, 2, 2, 3, 1, 2, 0, 4, 2, 2, 1, 0, 0, 0, 2, 4, 0, 1, 1, 4, 0, 4, 2, 1, 0, 0, 0, 4, 3, 0, 3, 1, 1, 1, 0, 1, 3, 2, 2, 2, 1, 2, 2, 1, 0, 0, 4, 1, 2, 4, 0, 4, 3, 4, 1, 4, 4, 0, 1, 2, 1, 4, 3, 2, 0, 3, 3, 3, 3, 1, 1, 1, 0, 1, 1, 0, 2, 0, 4, 4, 1, 2, 3, 0, 2, 0, 0, 0, 2, 2, 4, 3, 4, 0, 1, 4, 0, 2, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 3, 2, 2, 1, 0, 4, 1, 4, 2]
pubkeycol1604 = [0, 1, 0, 3, 4, 4, 4, 4, 1, 4, 0, 2, 0, 0, 3, 3, 4, 2, 0, 4, 1, 3, 3, 4, 1, 2, 4, 1, 1, 3, 3, 2, 0, 1, 2, 4, 2, 1, 3, 4, 1, 4, 4, 4, 0, 4, 1, 0, 3, 4, 2, 2, 4, 0, 4, 3, 4, 1, 1, 4, 1, 1, 2, 3, 2, 2, 0, 4, 3, 1, 1, 1, 2, 2, 3, 4, 0, 3, 2, 3, 4, 2, 3, 0, 0, 2, 2, 2, 3, 0, 2, 1, 1, 4, 2, 3, 2, 4, 3, 0, 2, 4, 3, 2, 3, 4, 3, 3, 4, 0, 1, 0, 0, 4, 1, 4, 3, 3, 1, 2, 3, 0, 3, 0, 2, 0, 1, 3, 4, 0, 4, 1, 4, 2, 4, 4, 2, 1, 0, 0, 0, 4, 4, 3, 3, 3, 3, 4, 0, 4, 0, 4, 4, 3, 4, 2, 1, 0, 1, 3, 2, 1, 2, 0, 1, 4, 1, 0, 0, 0, 1, 2, 4, 4, 0, 4, 0, 4, 4, 2, 3, 4, 0, 2, 4, 3, 0, 3, 1, 3, 2, 3, 1, 0, 2, 3, 4, 1, 3, 3, 3, 2, 1, 2, 0, 1, 2, 4, 4, 2, 4, 4, 3, 1, 3, 2, 0, 4, 1, 4, 0, 3, 3, 1, 2, 0, 1, 1, 1, 3, 3, 0, 2, 4, 1, 0, 0, 0, 4, 0, 1, 0, 0, 4, 4, 1, 4, 3, 3, 3, 1, 0, 1, 4, 3, 1, 0, 1, 3, 4, 0, 0, 1, 0, 0, 4, 2, 2, 3, 2, 3, 0, 3, 0, 2, 1, 2, 4, 1, 0, 4, 0, 2, 4, 0, 0, 4, 1, 4, 3, 3, 0, 3, 0, 3, 2, 1, 3, 4, 3, 1, 0, 3, 3, 0, 4, 1, 1, 0, 4, 1, 1, 0, 0, 2, 1, 0, 4, 0, 4, 3, 2, 0, 1, 4, 2, 2, 3, 3, 2, 2, 1, 2, 1, 2, 2, 4, 2, 2, 1, 0, 0, 2, 2, 2, 3, 0, 4, 1, 1, 4, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 3, 2, 3, 4, 3, 0, 0, 1, 2, 1, 3, 4, 4, 0, 1, 2, 4, 1, 0, 1, 3, 2, 4, 1, 0, 3, 0, 4, 1, 0, 1, 3, 3, 2, 4, 2, 2, 4, 3, 2, 4, 1, 0, 4, 4, 1, 1, 1, 3, 1, 2, 1, 2, 1, 0, 0, 1, 3, 1, 0, 2, 3, 1, 1, 4, 4, 2, 0, 2, 3, 3, 2, 1, 4, 4, 0, 2, 0, 3, 4, 0, 4, 3, 3, 4, 3, 2, 0, 0, 2, 0, 4, 1, 4, 0, 4, 1, 1, 1, 2, 4, 2, 4, 3, 4, 1, 4, 4, 2, 3, 3, 3, 0, 2, 2, 4, 3, 2, 3, 3, 4, 0, 0, 1, 0, 3, 2, 3, 0, 1, 1, 1, 1, 0, 0, 2, 4, 3, 3, 2, 1, 0, 4]
pubkeycol1605 = [4, 1, 0, 2, 3, 0, 3, 3, 4, 3, 2, 2, 2, 4, 1, 4, 2, 3, 4, 1, 3, 1, 0, 0, 1, 4, 4, 2, 0, 3, 3, 2, 4, 0, 2, 3, 3, 4, 4, 0, 1, 1, 1, 2, 2, 2, 0, 4, 2, 2, 3, 0, 2, 0, 2, 2, 4, 4, 2, 1, 3, 2, 0, 4, 1, 0, 3, 0, 4, 1, 1, 1, 0, 2, 3, 2, 1, 2, 3, 2, 0, 0, 0, 3, 2, 3, 2, 4, 0, 0, 2, 0, 4, 4, 3, 0, 0, 3, 3, 2, 3, 3, 1, 0, 0, 1, 0, 2, 4, 2, 1, 4, 3, 0, 3, 1, 3, 4, 4, 0, 2, 4, 3, 1, 0, 4, 3, 2, 2, 4, 4, 4, 4, 0, 4, 1, 1, 4, 1, 2, 1, 4, 1, 2, 0, 0, 3, 4, 0, 2, 0, 1, 4, 0, 4, 1, 1, 1, 1, 2, 1, 1, 2, 2, 4, 1, 0, 0, 4, 1, 1, 0, 2, 4, 2, 0, 0, 1, 3, 2, 3, 0, 2, 1, 3, 0, 0, 1, 3, 2, 4, 0, 0, 0, 4, 0, 4, 2, 3, 4, 0, 4, 1, 4, 2, 3, 0, 2, 4, 2, 0, 1, 4, 1, 2, 0, 2, 2, 1, 1, 3, 2, 3, 2, 2, 3, 2, 1, 1, 4, 4, 1, 4, 0, 2, 0, 3, 4, 4, 2, 1, 2, 1, 1, 2, 2, 4, 1, 3, 4, 1, 1, 0, 4, 3, 2, 4, 3, 2, 3, 1, 4, 4, 1, 4, 3, 3, 4, 2, 3, 1, 3, 0, 0, 4, 2, 2, 1, 1, 4, 1, 4, 1, 0, 3, 0, 0, 3, 0, 1, 3, 4, 3, 3, 2, 4, 2, 3, 4, 1, 3, 1, 4, 1, 2, 1, 2, 3, 0, 0, 4, 2, 4, 2, 2, 3, 4, 4, 1, 2, 4, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 4, 2, 3, 2, 3, 2, 0, 4, 1, 4, 1, 3, 1, 2, 4, 3, 2, 3, 1, 0, 0, 1, 2, 4, 3, 3, 3, 3, 3, 0, 4, 1, 2, 1, 0, 0, 1, 4, 1, 2, 3, 0, 0, 2, 2, 0, 0, 1, 0, 3, 3, 4, 3, 1, 2, 4, 3, 2, 4, 3, 2, 0, 0, 3, 2, 1, 2, 2, 0, 1, 4, 3, 3, 3, 3, 0, 2, 2, 4, 3, 2, 0, 0, 2, 1, 3, 2, 2, 3, 4, 3, 0, 4, 1, 3, 4, 4, 1, 2, 2, 1, 1, 1, 0, 1, 4, 1, 0, 3, 2, 3, 3, 0, 1, 0, 2, 1, 3, 1, 2, 3, 3, 4, 4, 4, 4, 1, 4, 2, 4, 2, 1, 1, 3, 0, 0, 3, 0, 0, 4, 0, 0, 0, 0, 4, 1, 2, 1, 2, 4, 0, 0, 4, 4, 3, 3, 3, 1, 1, 3, 4, 0, 3, 2, 2, 3, 4, 1, 3, 2, 0, 1, 2, 1]
pubkeycol1606 = [4, 2, 3, 0, 1, 0, 0, 3, 3, 4, 3, 3, 2, 1, 0, 3, 3, 3, 2, 1, 1, 4, 2, 0, 0, 3, 3, 0, 1, 2, 0, 3, 4, 4, 0, 1, 0, 4, 0, 2, 4, 0, 4, 4, 0, 2, 4, 1, 1, 0, 4, 0, 1, 4, 4, 2, 2, 0, 4, 4, 3, 0, 3, 2, 3, 4, 2, 3, 1, 4, 1, 1, 0, 3, 0, 4, 1, 2, 0, 4, 2, 1, 1, 1, 4, 3, 2, 1, 3, 0, 1, 1, 4, 1, 1, 2, 4, 4, 2, 0, 3, 0, 4, 0, 2, 2, 0, 1, 1, 3, 3, 2, 4, 2, 0, 0, 1, 1, 3, 0, 2, 3, 1, 0, 3, 4, 2, 0, 1, 1, 4, 0, 0, 1, 1, 4, 1, 1, 0, 4, 2, 2, 1, 0, 4, 1, 3, 3, 4, 0, 3, 1, 3, 3, 0, 0, 3, 2, 0, 2, 1, 1, 0, 2, 2, 0, 4, 1, 4, 2, 4, 1, 3, 1, 1, 3, 4, 1, 2, 3, 4, 0, 2, 1, 2, 1, 2, 4, 4, 2, 3, 3, 0, 4, 1, 0, 4, 1, 0, 3, 4, 1, 3, 4, 3, 4, 4, 4, 4, 0, 4, 0, 0, 0, 2, 2, 1, 0, 3, 2, 2, 4, 4, 0, 1, 3, 1, 1, 3, 4, 1, 1, 1, 1, 1, 4, 4, 2, 0, 3, 1, 4, 2, 1, 3, 0, 2, 1, 2, 0, 0, 4, 4, 1, 0, 2, 2, 0, 3, 1, 2, 2, 3, 4, 2, 2, 1, 3, 1, 4, 3, 2, 0, 2, 4, 1, 4, 2, 0, 4, 4, 3, 0, 3, 1, 0, 2, 4, 4, 2, 2, 1, 3, 0, 3, 2, 1, 2, 3, 2, 1, 2, 3, 3, 1, 3, 2, 4, 1, 2, 1, 3, 4, 0, 2, 2, 4, 3, 1, 3, 4, 3, 1, 2, 0, 0, 3, 3, 0, 4, 3, 2, 3, 3, 1, 2, 1, 2, 0, 0, 0, 3, 4, 1, 1, 4, 1, 1, 0, 2, 1, 1, 0, 0, 4, 1, 3, 1, 2, 3, 0, 0, 0, 2, 3, 3, 3, 3, 0, 0, 4, 4, 2, 1, 1, 1, 3, 0, 1, 1, 4, 4, 3, 4, 3, 1, 4, 0, 3, 1, 2, 3, 3, 2, 0, 2, 0, 1, 2, 1, 4, 4, 1, 3, 1, 0, 1, 0, 4, 0, 4, 2, 1, 4, 0, 4, 1, 2, 0, 1, 3, 4, 1, 4, 3, 4, 0, 3, 0, 2, 2, 0, 4, 3, 4, 2, 4, 0, 0, 3, 2, 3, 0, 0, 2, 4, 0, 3, 0, 2, 4, 3, 0, 3, 1, 2, 0, 4, 1, 4, 0, 0, 2, 4, 0, 1, 0, 4, 4, 2, 4, 2, 0, 0, 2, 3, 0, 2, 2, 4, 4, 4, 1, 3, 3, 3, 4, 0, 2, 1, 1, 4, 2, 0, 1, 1, 3, 2, 2, 4, 4, 0, 2, 2, 3]
pubkeycol1607 = [4, 1, 1, 4, 2, 2, 2, 3, 4, 0, 4, 4, 4, 3, 2, 0, 4, 4, 4, 2, 2, 0, 1, 3, 3, 1, 4, 4, 1, 3, 3, 2, 0, 1, 1, 3, 3, 0, 0, 2, 0, 3, 1, 4, 3, 4, 0, 0, 2, 4, 4, 3, 4, 0, 3, 2, 2, 0, 4, 4, 0, 1, 2, 0, 2, 3, 4, 1, 2, 3, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 4, 1, 4, 0, 0, 4, 2, 4, 0, 1, 3, 3, 4, 0, 4, 1, 4, 2, 1, 4, 3, 3, 3, 2, 4, 3, 2, 4, 4, 1, 2, 4, 4, 1, 2, 4, 3, 4, 2, 3, 2, 4, 2, 1, 0, 1, 1, 0, 2, 4, 2, 4, 4, 0, 0, 4, 2, 3, 3, 4, 4, 1, 1, 1, 4, 4, 3, 0, 0, 0, 2, 1, 3, 2, 3, 3, 2, 4, 0, 4, 1, 4, 0, 3, 2, 2, 0, 1, 1, 3, 0, 3, 2, 0, 4, 4, 4, 3, 0, 3, 2, 3, 3, 2, 1, 2, 3, 2, 4, 4, 4, 3, 1, 1, 4, 3, 4, 0, 2, 2, 0, 3, 4, 4, 4, 2, 1, 2, 4, 2, 0, 3, 3, 4, 2, 4, 2, 2, 4, 4, 1, 0, 2, 0, 0, 3, 2, 4, 0, 2, 3, 1, 0, 3, 1, 4, 0, 0, 2, 0, 3, 2, 4, 1, 2, 4, 3, 4, 4, 3, 3, 4, 1, 2, 3, 0, 4, 1, 2, 4, 2, 0, 1, 2, 2, 0, 3, 3, 4, 0, 2, 4, 0, 4, 4, 0, 4, 4, 0, 2, 0, 3, 3, 3, 2, 0, 2, 2, 4, 4, 3, 2, 3, 3, 4, 2, 4, 2, 0, 0, 3, 3, 4, 4, 1, 0, 4, 2, 0, 3, 2, 3, 3, 1, 4, 3, 3, 3, 4, 2, 3, 1, 2, 3, 2, 3, 0, 2, 2, 4, 4, 0, 3, 2, 3, 1, 1, 4, 3, 0, 0, 2, 4, 3, 0, 4, 4, 1, 1, 4, 0, 1, 0, 3, 3, 0, 0, 1, 1, 1, 2, 1, 0, 3, 4, 1, 2, 3, 1, 0, 1, 1, 2, 3, 4, 4, 0, 2, 4, 4, 0, 1, 2, 3, 2, 3, 3, 3, 1, 4, 0, 0, 2, 3, 4, 3, 1, 4, 4, 0, 4, 2, 1, 1, 2, 1, 4, 0, 4, 0, 0, 4, 1, 3, 0, 2, 4, 1, 4, 1, 1, 2, 3, 1, 4, 3, 1, 0, 3, 4, 4, 0, 4, 0, 0, 3, 4, 2, 0, 3, 1, 3, 1, 2, 0, 4, 4, 4, 0, 4, 0, 2, 2, 3, 0, 1, 0, 1, 4, 0, 3, 0, 4, 1, 0, 1, 1, 3, 3, 4, 0, 0, 0, 3, 4, 1, 3, 4, 1, 2, 1, 2, 2, 4, 0, 0, 2, 0, 3, 1, 4, 1, 4, 3, 2, 1, 1, 1, 0, 2, 0, 2, 0, 3, 0]
pubkeycol1608 = [1, 1, 0, 3, 0, 1, 1, 3, 0, 0, 2, 4, 1, 2, 4, 1, 4, 1, 4, 1, 2, 0, 2, 2, 1, 3, 2, 3, 3, 0, 2, 3, 1, 0, 2, 4, 3, 3, 3, 1, 0, 0, 3, 2, 2, 0, 0, 2, 3, 3, 1, 1, 1, 0, 0, 2, 0, 3, 4, 4, 1, 3, 4, 0, 2, 4, 4, 0, 3, 4, 0, 4, 3, 1, 3, 4, 1, 3, 4, 0, 0, 1, 4, 2, 1, 2, 1, 4, 4, 2, 4, 1, 3, 0, 4, 2, 2, 3, 0, 4, 2, 2, 0, 3, 0, 2, 1, 2, 0, 4, 2, 4, 4, 1, 3, 0, 3, 0, 1, 0, 3, 0, 1, 1, 2, 0, 4, 1, 0, 0, 1, 3, 3, 3, 1, 2, 2, 4, 0, 3, 0, 0, 2, 1, 3, 4, 4, 1, 3, 3, 3, 2, 3, 2, 4, 3, 0, 3, 0, 3, 1, 1, 2, 3, 0, 0, 3, 4, 4, 2, 2, 2, 2, 1, 2, 3, 4, 4, 1, 1, 1, 1, 0, 3, 2, 4, 1, 4, 3, 0, 3, 1, 4, 0, 0, 1, 2, 4, 4, 1, 3, 1, 3, 3, 3, 4, 3, 4, 3, 0, 0, 0, 1, 1, 2, 4, 4, 2, 0, 2, 4, 4, 4, 4, 3, 2, 2, 3, 1, 1, 4, 1, 4, 1, 0, 3, 0, 4, 4, 2, 3, 4, 2, 0, 1, 4, 0, 1, 1, 2, 2, 1, 3, 0, 4, 4, 4, 4, 2, 3, 1, 4, 0, 2, 2, 2, 0, 4, 3, 0, 0, 2, 1, 2, 4, 3, 2, 1, 1, 1, 0, 4, 2, 0, 0, 0, 3, 4, 2, 3, 0, 3, 3, 3, 1, 3, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 4, 3, 0, 0, 0, 3, 4, 3, 2, 3, 1, 3, 4, 2, 1, 4, 3, 0, 3, 1, 4, 0, 2, 4, 2, 0, 2, 1, 0, 4, 0, 1, 3, 1, 2, 2, 0, 2, 3, 4, 0, 3, 3, 1, 4, 1, 1, 0, 1, 1, 3, 1, 3, 0, 3, 0, 3, 0, 3, 1, 0, 0, 3, 1, 3, 3, 3, 2, 2, 3, 3, 2, 3, 4, 0, 0, 3, 2, 0, 2, 3, 0, 1, 1, 0, 2, 2, 4, 1, 4, 0, 4, 0, 4, 1, 2, 3, 3, 3, 4, 0, 1, 2, 3, 1, 3, 2, 2, 4, 2, 2, 2, 1, 1, 1, 4, 1, 3, 2, 1, 3, 4, 3, 1, 1, 4, 0, 2, 2, 2, 2, 2, 1, 4, 3, 1, 4, 1, 0, 3, 3, 3, 3, 4, 2, 2, 0, 3, 1, 1, 4, 1, 2, 0, 1, 4, 4, 2, 0, 3, 4, 0, 2, 1, 4, 4, 1, 1, 0, 1, 3, 1, 3, 3, 3, 3, 4, 3, 4, 4, 1, 1, 0, 2, 1, 2, 3, 3, 0, 3, 4, 1, 3, 1, 2, 3, 0, 3]
pubkeycol1609 = [1, 3, 1, 0, 4, 2, 4, 3, 4, 4, 3, 1, 4, 1, 2, 1, 4, 0, 4, 0, 3, 2, 4, 1, 0, 3, 3, 4, 3, 2, 2, 1, 1, 2, 2, 4, 1, 4, 3, 3, 2, 2, 0, 4, 1, 2, 3, 0, 2, 1, 1, 0, 4, 1, 0, 1, 4, 4, 4, 2, 1, 3, 4, 0, 2, 0, 4, 2, 3, 1, 4, 3, 3, 3, 0, 0, 0, 0, 2, 0, 1, 1, 4, 3, 4, 3, 0, 3, 3, 4, 0, 1, 2, 3, 2, 1, 2, 2, 4, 1, 3, 2, 3, 4, 1, 0, 3, 4, 2, 1, 1, 0, 3, 1, 0, 0, 3, 2, 4, 2, 1, 3, 0, 1, 2, 2, 1, 1, 1, 4, 2, 1, 1, 1, 4, 1, 4, 0, 0, 1, 0, 0, 3, 3, 4, 1, 3, 1, 2, 4, 4, 2, 2, 2, 2, 2, 4, 0, 0, 4, 4, 4, 1, 1, 0, 2, 4, 1, 2, 1, 2, 4, 0, 2, 3, 1, 0, 3, 0, 2, 4, 3, 3, 3, 1, 3, 1, 1, 3, 0, 3, 4, 0, 1, 0, 2, 4, 3, 1, 0, 1, 0, 4, 3, 3, 1, 2, 1, 2, 3, 3, 1, 0, 0, 1, 0, 4, 4, 1, 4, 0, 2, 0, 3, 0, 2, 3, 1, 3, 1, 3, 2, 0, 1, 3, 0, 3, 4, 4, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 3, 0, 3, 1, 4, 2, 3, 1, 4, 0, 3, 1, 0, 1, 4, 1, 3, 4, 2, 1, 4, 3, 3, 4, 1, 0, 2, 2, 3, 1, 2, 1, 0, 4, 4, 1, 1, 3, 0, 4, 3, 4, 0, 1, 3, 3, 1, 4, 1, 0, 0, 4, 2, 1, 4, 1, 3, 1, 0, 3, 3, 4, 0, 3, 1, 4, 0, 4, 4, 0, 2, 4, 0, 0, 3, 3, 0, 2, 3, 4, 3, 0, 3, 3, 1, 3, 0, 0, 0, 3, 0, 2, 3, 2, 3, 4, 2, 0, 4, 0, 1, 2, 2, 1, 2, 1, 4, 4, 3, 2, 2, 1, 2, 0, 3, 1, 3, 4, 4, 0, 2, 2, 3, 2, 1, 0, 1, 3, 3, 2, 2, 3, 2, 4, 2, 2, 1, 3, 3, 4, 0, 1, 0, 0, 4, 0, 0, 1, 1, 4, 2, 2, 0, 1, 1, 0, 1, 4, 0, 2, 4, 3, 3, 3, 4, 4, 2, 3, 1, 2, 0, 1, 0, 3, 0, 4, 3, 1, 0, 3, 1, 0, 0, 2, 4, 3, 4, 2, 0, 2, 0, 0, 2, 4, 3, 1, 2, 3, 0, 3, 2, 3, 0, 1, 3, 3, 2, 2, 1, 1, 1, 0, 3, 3, 3, 0, 2, 2, 3, 2, 2, 1, 1, 1, 0, 0, 0, 1, 3, 4, 3, 0, 3, 1, 3, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 3, 3, 1, 3, 0, 2, 1, 1, 4, 1]
pubkeycol1610 = [0, 4, 1, 3, 1, 4, 3, 0, 2, 2, 2, 4, 3, 3, 3, 2, 1, 3, 0, 3, 2, 4, 0, 3, 4, 4, 0, 3, 2, 1, 2, 1, 1, 2, 3, 3, 1, 0, 0, 4, 4, 2, 3, 2, 4, 1, 4, 0, 2, 1, 2, 1, 4, 4, 4, 4, 2, 0, 2, 3, 2, 3, 3, 2, 0, 1, 0, 0, 1, 3, 4, 2, 4, 2, 4, 0, 4, 4, 2, 0, 4, 4, 1, 1, 2, 1, 1, 2, 2, 3, 0, 4, 3, 4, 3, 4, 2, 4, 4, 2, 2, 3, 1, 2, 0, 2, 1, 1, 3, 1, 1, 2, 0, 3, 1, 0, 2, 2, 1, 0, 3, 3, 3, 0, 4, 1, 3, 1, 2, 1, 4, 1, 2, 3, 1, 2, 4, 0, 3, 0, 3, 0, 2, 4, 1, 4, 2, 0, 0, 2, 2, 0, 1, 3, 2, 0, 4, 4, 1, 2, 4, 0, 0, 0, 4, 4, 4, 3, 1, 0, 3, 1, 1, 2, 0, 2, 1, 1, 0, 3, 2, 0, 1, 3, 1, 3, 3, 0, 1, 1, 1, 3, 0, 2, 0, 1, 3, 3, 0, 3, 2, 3, 0, 2, 1, 0, 2, 4, 2, 1, 4, 3, 2, 4, 3, 1, 0, 2, 3, 0, 0, 3, 3, 4, 4, 0, 1, 2, 4, 4, 2, 3, 2, 3, 3, 1, 4, 3, 0, 3, 2, 1, 4, 2, 1, 0, 1, 4, 4, 4, 2, 0, 1, 3, 0, 4, 1, 3, 2, 1, 1, 0, 0, 2, 1, 4, 1, 2, 3, 2, 1, 3, 0, 3, 3, 0, 4, 4, 1, 4, 1, 4, 2, 3, 4, 4, 3, 4, 3, 4, 3, 4, 3, 1, 1, 0, 1, 0, 4, 0, 1, 4, 3, 3, 0, 2, 4, 0, 4, 1, 3, 2, 1, 0, 1, 1, 3, 2, 0, 4, 1, 3, 0, 4, 1, 0, 3, 2, 3, 2, 0, 3, 3, 4, 2, 0, 4, 3, 3, 2, 4, 1, 2, 4, 2, 3, 3, 0, 0, 0, 2, 1, 2, 2, 4, 4, 4, 3, 4, 3, 1, 2, 2, 2, 2, 0, 4, 2, 3, 4, 3, 3, 2, 2, 1, 2, 2, 0, 2, 3, 0, 4, 0, 1, 3, 0, 2, 2, 0, 1, 4, 2, 0, 3, 1, 0, 3, 2, 3, 2, 4, 3, 3, 2, 0, 3, 2, 4, 1, 2, 1, 4, 1, 4, 0, 4, 3, 4, 0, 1, 3, 2, 1, 3, 2, 1, 2, 1, 4, 3, 2, 2, 4, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 4, 0, 2, 2, 3, 0, 1, 4, 1, 4, 3, 2, 1, 3, 3, 2, 4, 3, 0, 3, 2, 2, 0, 3, 2, 0, 3, 4, 0, 1, 0, 3, 3, 1, 0, 2, 3, 4, 2, 0, 2, 2, 1, 1, 3, 0, 1, 1, 4, 2, 0, 0, 2, 1, 1, 4, 0, 0, 3, 0, 0]
pubkeycol1611 = [2, 4, 2, 3, 2, 2, 2, 0, 4, 4, 4, 2, 2, 1, 0, 3, 3, 2, 4, 0, 0, 3, 0, 4, 2, 2, 2, 1, 0, 4, 3, 1, 3, 4, 0, 2, 4, 1, 2, 0, 4, 0, 3, 3, 1, 1, 1, 0, 0, 0, 3, 2, 0, 2, 2, 3, 1, 4, 4, 1, 1, 4, 0, 3, 1, 2, 4, 3, 3, 4, 0, 4, 4, 3, 2, 1, 3, 2, 0, 3, 1, 2, 4, 0, 0, 3, 3, 1, 1, 4, 0, 1, 0, 1, 4, 4, 2, 3, 2, 4, 2, 2, 2, 1, 3, 2, 2, 1, 0, 2, 2, 2, 3, 3, 0, 3, 3, 2, 1, 2, 4, 0, 1, 1, 2, 0, 2, 0, 1, 3, 1, 3, 3, 4, 4, 4, 4, 3, 2, 1, 4, 2, 2, 2, 2, 3, 0, 4, 1, 4, 4, 3, 3, 2, 4, 0, 2, 4, 2, 3, 4, 1, 1, 4, 0, 2, 3, 3, 2, 3, 0, 2, 0, 3, 1, 4, 0, 0, 0, 1, 4, 3, 3, 1, 4, 2, 2, 1, 0, 0, 3, 2, 3, 0, 4, 1, 4, 1, 2, 0, 2, 4, 1, 2, 1, 4, 1, 0, 0, 0, 3, 3, 2, 0, 3, 2, 1, 2, 2, 1, 4, 4, 1, 1, 1, 0, 4, 0, 4, 1, 3, 4, 1, 0, 4, 0, 2, 0, 4, 0, 3, 1, 0, 4, 1, 0, 4, 1, 4, 4, 0, 0, 2, 4, 1, 0, 2, 0, 1, 4, 1, 0, 0, 3, 1, 1, 0, 0, 3, 4, 1, 2, 2, 0, 0, 0, 4, 1, 2, 3, 2, 0, 3, 0, 4, 0, 4, 3, 1, 4, 0, 0, 3, 3, 3, 1, 2, 3, 3, 1, 1, 0, 2, 2, 2, 0, 4, 2, 2, 4, 4, 2, 2, 2, 2, 2, 1, 3, 0, 1, 4, 2, 1, 2, 0, 1, 2, 3, 2, 4, 0, 4, 4, 1, 1, 1, 4, 1, 2, 1, 0, 3, 0, 2, 4, 1, 4, 4, 3, 3, 1, 2, 0, 4, 0, 2, 0, 0, 0, 2, 3, 3, 1, 2, 2, 4, 0, 1, 0, 4, 3, 1, 3, 2, 0, 0, 1, 0, 3, 2, 4, 4, 4, 1, 1, 2, 0, 2, 4, 4, 3, 3, 4, 1, 4, 4, 3, 4, 4, 2, 1, 4, 4, 2, 3, 3, 3, 0, 4, 3, 4, 4, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 3, 3, 2, 3, 3, 4, 3, 4, 3, 1, 4, 1, 3, 0, 0, 0, 3, 4, 0, 3, 4, 2, 2, 1, 0, 3, 1, 1, 0, 4, 4, 4, 0, 3, 4, 2, 0, 3, 2, 0, 4, 2, 3, 4, 2, 1, 2, 0, 4, 2, 0, 2, 4, 1, 2, 0, 4, 3, 4, 0, 1, 3, 2, 4, 0, 3, 0, 0, 4, 2, 2, 4, 4, 1, 4, 4, 4, 3, 1, 2, 1, 1, 4]
pubkeycol1612 = [2, 0, 1, 0, 4, 0, 0, 3, 2, 0, 2, 2, 1, 2, 4, 1, 3, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 3, 4, 0, 3, 4, 4, 1, 2, 3, 4, 1, 4, 0, 3, 1, 1, 0, 0, 0, 0, 4, 2, 3, 4, 0, 2, 1, 0, 1, 0, 3, 4, 1, 3, 1, 1, 0, 1, 0, 1, 4, 4, 2, 0, 0, 0, 4, 0, 4, 1, 1, 4, 1, 4, 4, 1, 0, 0, 0, 0, 2, 3, 2, 1, 1, 1, 3, 4, 1, 2, 1, 3, 3, 1, 2, 4, 0, 4, 2, 4, 2, 1, 4, 4, 4, 0, 2, 3, 4, 0, 2, 3, 1, 1, 0, 0, 2, 0, 1, 0, 4, 2, 2, 3, 0, 2, 3, 2, 3, 4, 0, 2, 0, 3, 2, 3, 4, 2, 4, 0, 2, 3, 4, 2, 1, 1, 2, 1, 4, 4, 1, 3, 1, 2, 2, 3, 2, 0, 4, 4, 1, 1, 1, 4, 4, 0, 1, 2, 4, 1, 4, 0, 0, 2, 0, 1, 0, 0, 4, 4, 0, 1, 3, 1, 4, 4, 3, 4, 1, 4, 1, 0, 3, 2, 2, 0, 4, 1, 0, 4, 2, 1, 4, 3, 4, 3, 4, 3, 0, 4, 1, 0, 4, 4, 1, 4, 0, 4, 0, 1, 2, 0, 4, 2, 4, 0, 0, 3, 1, 1, 2, 4, 4, 3, 0, 3, 0, 1, 1, 4, 2, 3, 4, 4, 2, 3, 3, 0, 2, 0, 0, 2, 4, 3, 0, 4, 2, 1, 3, 3, 3, 4, 2, 3, 4, 2, 0, 4, 0, 4, 0, 2, 2, 3, 2, 4, 3, 1, 2, 1, 0, 1, 1, 2, 1, 4, 4, 4, 4, 0, 2, 3, 4, 2, 0, 4, 1, 4, 3, 1, 1, 3, 3, 0, 3, 2, 0, 4, 3, 1, 3, 0, 0, 0, 2, 3, 4, 1, 1, 0, 4, 2, 3, 4, 1, 3, 0, 3, 1, 2, 1, 1, 1, 0, 3, 1, 1, 2, 0, 1, 3, 3, 3, 2, 3, 2, 2, 2, 0, 3, 1, 2, 1, 4, 1, 2, 3, 2, 4, 4, 3, 1, 1, 3, 2, 4, 2, 4, 2, 2, 1, 4, 1, 3, 1, 1, 0, 1, 3, 3, 4, 1, 0, 0, 3, 4, 0, 4, 2, 2, 0, 1, 2, 2, 3, 4, 3, 0, 2, 0, 0, 3, 4, 1, 3, 3, 4, 2, 4, 0, 4, 1, 0, 2, 1, 1, 2, 4, 2, 4, 1, 3, 3, 3, 2, 4, 2, 3, 4, 4, 3, 1, 3, 2, 0, 3, 4, 0, 4, 2, 3, 1, 0, 4, 4, 4, 2, 2, 3, 1, 3, 0, 1, 0, 3, 0, 4, 4, 0, 3, 3, 0, 4, 3, 4, 4, 2, 4, 4, 1, 2, 4, 4, 1, 4, 2, 0, 3, 2, 0, 1, 2, 0, 0, 1, 4, 4, 4, 1, 4, 1, 3, 0, 2, 3, 0, 3, 3]
pubkeycol1613 = [4, 3, 2, 0, 1, 2, 3, 4, 3, 1, 4, 1, 1, 3, 0, 2, 1, 4, 2, 0, 4, 0, 0, 3, 1, 3, 1, 3, 3, 1, 4, 2, 1, 4, 0, 0, 4, 0, 0, 1, 4, 0, 3, 1, 3, 2, 0, 1, 4, 3, 3, 1, 2, 2, 0, 3, 1, 2, 2, 0, 0, 0, 1, 3, 3, 1, 4, 1, 2, 3, 3, 4, 0, 3, 4, 0, 3, 4, 1, 2, 0, 0, 4, 3, 3, 1, 4, 1, 4, 3, 2, 4, 3, 4, 3, 4, 0, 2, 2, 1, 0, 3, 0, 3, 4, 0, 0, 4, 3, 2, 0, 3, 2, 3, 2, 4, 1, 3, 2, 3, 1, 4, 2, 3, 1, 0, 0, 2, 3, 2, 4, 0, 4, 1, 2, 0, 3, 4, 0, 1, 4, 0, 0, 1, 4, 4, 1, 1, 1, 3, 2, 3, 2, 0, 2, 0, 2, 4, 1, 2, 1, 1, 1, 2, 1, 4, 2, 0, 2, 2, 1, 3, 0, 3, 4, 3, 4, 0, 3, 3, 4, 2, 0, 2, 1, 0, 3, 2, 0, 4, 2, 0, 1, 1, 1, 2, 2, 4, 2, 1, 2, 0, 0, 2, 4, 0, 3, 4, 0, 2, 2, 2, 0, 2, 4, 0, 3, 4, 1, 4, 1, 4, 1, 1, 0, 2, 3, 3, 4, 1, 4, 1, 1, 0, 0, 1, 3, 4, 2, 1, 2, 3, 1, 4, 2, 3, 1, 0, 1, 2, 0, 1, 4, 2, 2, 2, 4, 1, 2, 0, 1, 0, 0, 2, 0, 4, 4, 4, 1, 3, 1, 4, 3, 2, 2, 4, 3, 4, 4, 3, 0, 0, 4, 1, 1, 1, 1, 2, 3, 1, 0, 2, 2, 3, 1, 3, 2, 1, 3, 1, 0, 0, 1, 0, 3, 0, 3, 4, 1, 1, 1, 1, 0, 0, 4, 3, 1, 2, 0, 1, 3, 0, 0, 1, 2, 2, 0, 4, 0, 0, 4, 1, 0, 2, 4, 0, 3, 3, 0, 2, 2, 1, 3, 4, 2, 2, 3, 3, 4, 4, 4, 2, 3, 1, 2, 1, 2, 4, 4, 4, 4, 3, 2, 4, 0, 4, 3, 3, 3, 4, 1, 3, 2, 4, 4, 3, 0, 2, 3, 4, 3, 2, 2, 2, 3, 2, 1, 2, 1, 4, 2, 3, 0, 2, 4, 1, 1, 0, 4, 1, 4, 0, 3, 2, 0, 0, 2, 1, 1, 1, 2, 4, 1, 3, 2, 0, 4, 1, 3, 0, 3, 2, 3, 3, 4, 1, 4, 1, 1, 4, 2, 2, 4, 2, 4, 0, 3, 2, 0, 3, 3, 1, 1, 1, 0, 0, 3, 1, 2, 4, 4, 3, 2, 2, 1, 1, 2, 2, 2, 4, 3, 4, 4, 2, 1, 1, 2, 0, 0, 4, 0, 3, 2, 4, 4, 2, 2, 4, 1, 4, 1, 2, 2, 0, 4, 0, 4, 0, 2, 3, 4, 0, 3, 2, 2, 0, 3, 0, 0, 2, 0, 0, 2, 1, 3]
pubkeycol1614 = [4, 3, 2, 2, 2, 4, 3, 2, 2, 2, 4, 0, 4, 1, 1, 1, 3, 2, 4, 3, 1, 1, 3, 4, 2, 0, 2, 2, 1, 4, 4, 0, 2, 3, 2, 3, 3, 3, 1, 2, 1, 1, 1, 0, 2, 2, 3, 2, 4, 1, 2, 3, 3, 0, 3, 4, 3, 4, 4, 2, 3, 2, 1, 1, 2, 3, 0, 3, 2, 4, 4, 3, 2, 4, 3, 4, 3, 2, 1, 3, 1, 4, 1, 4, 0, 0, 1, 3, 2, 2, 3, 0, 3, 3, 4, 2, 1, 4, 2, 2, 1, 0, 1, 3, 1, 2, 0, 1, 2, 3, 1, 3, 1, 4, 3, 4, 3, 3, 3, 3, 0, 3, 3, 4, 3, 1, 4, 2, 1, 0, 1, 4, 1, 2, 0, 2, 4, 1, 1, 2, 3, 4, 3, 3, 4, 0, 0, 1, 2, 0, 3, 4, 3, 1, 0, 0, 0, 3, 1, 4, 2, 3, 2, 4, 3, 1, 4, 3, 1, 1, 1, 2, 4, 1, 4, 1, 3, 3, 3, 1, 4, 4, 0, 4, 0, 2, 2, 4, 0, 4, 0, 4, 4, 4, 1, 2, 4, 0, 2, 3, 1, 0, 2, 2, 3, 0, 0, 2, 1, 3, 4, 4, 4, 3, 0, 1, 2, 2, 2, 0, 3, 0, 1, 2, 3, 1, 1, 1, 0, 1, 4, 0, 2, 2, 2, 4, 1, 4, 1, 1, 1, 1, 4, 4, 4, 4, 1, 2, 1, 0, 2, 2, 3, 0, 3, 4, 2, 0, 2, 0, 1, 3, 2, 1, 1, 2, 3, 1, 1, 0, 0, 4, 4, 1, 4, 0, 4, 0, 2, 1, 4, 2, 3, 1, 4, 4, 1, 1, 4, 2, 3, 1, 4, 2, 4, 1, 4, 2, 0, 4, 3, 2, 2, 3, 4, 2, 4, 0, 2, 0, 1, 3, 2, 0, 0, 2, 4, 3, 4, 1, 3, 0, 2, 4, 1, 2, 3, 0, 0, 3, 3, 0, 1, 3, 2, 2, 4, 2, 4, 3, 4, 0, 1, 0, 4, 4, 1, 0, 4, 4, 2, 0, 4, 3, 1, 1, 0, 4, 1, 1, 0, 3, 3, 0, 0, 4, 2, 0, 4, 1, 1, 4, 2, 0, 0, 1, 0, 0, 2, 0, 0, 4, 0, 3, 2, 3, 0, 3, 3, 1, 1, 3, 2, 3, 2, 3, 1, 4, 3, 2, 0, 2, 4, 4, 2, 3, 0, 4, 0, 0, 4, 3, 2, 3, 4, 0, 2, 1, 2, 1, 1, 2, 3, 4, 3, 0, 4, 0, 3, 2, 1, 1, 2, 0, 3, 1, 4, 2, 4, 3, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 3, 2, 2, 3, 3, 2, 3, 2, 2, 2, 2, 0, 4, 3, 3, 4, 2, 0, 4, 1, 4, 2, 2, 1, 3, 0, 1, 3, 1, 0, 4, 1, 1, 1, 0, 2, 0, 3, 1, 3, 0, 1, 0, 3, 4, 0, 0, 0, 0, 3, 4, 2, 4, 1, 3]
pubkeycol1615 = [0, 1, 1, 0, 1, 1, 0, 2, 4, 3, 1, 0, 1, 1, 0, 1, 3, 3, 0, 0, 0, 2, 3, 2, 1, 2, 1, 0, 3, 3, 3, 0, 3, 0, 1, 4, 0, 1, 1, 0, 2, 0, 4, 4, 2, 3, 1, 4, 2, 1, 0, 2, 3, 4, 0, 3, 4, 0, 0, 2, 2, 2, 4, 4, 3, 4, 0, 3, 2, 0, 0, 3, 4, 2, 3, 3, 0, 4, 3, 3, 2, 1, 3, 2, 4, 3, 2, 0, 4, 1, 2, 0, 1, 2, 2, 4, 3, 0, 2, 2, 1, 4, 3, 1, 1, 4, 0, 4, 3, 3, 2, 0, 3, 4, 1, 3, 0, 1, 1, 4, 3, 0, 2, 0, 2, 3, 2, 3, 0, 2, 2, 4, 1, 2, 1, 1, 2, 0, 3, 0, 4, 4, 4, 2, 4, 3, 4, 4, 1, 2, 4, 1, 1, 0, 2, 3, 4, 4, 0, 0, 1, 1, 2, 2, 4, 4, 1, 1, 2, 3, 3, 2, 4, 0, 4, 2, 4, 2, 0, 4, 2, 1, 4, 1, 3, 0, 0, 4, 3, 0, 4, 1, 3, 1, 3, 4, 3, 1, 0, 4, 1, 0, 4, 4, 4, 0, 2, 0, 3, 3, 3, 1, 3, 4, 3, 0, 0, 1, 0, 0, 0, 2, 3, 0, 3, 4, 2, 4, 2, 0, 0, 0, 4, 1, 1, 2, 4, 2, 4, 1, 4, 0, 1, 4, 3, 2, 4, 2, 2, 3, 3, 0, 1, 1, 4, 4, 0, 0, 0, 3, 3, 1, 1, 1, 1, 4, 1, 2, 3, 0, 1, 4, 3, 3, 4, 1, 3, 2, 2, 1, 3, 1, 3, 2, 4, 1, 2, 4, 0, 4, 1, 3, 0, 3, 3, 0, 3, 4, 1, 1, 2, 3, 4, 0, 0, 0, 0, 4, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 4, 1, 4, 4, 1, 1, 2, 1, 2, 2, 3, 4, 0, 2, 1, 2, 2, 3, 4, 1, 4, 0, 3, 1, 4, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 4, 1, 4, 1, 0, 4, 3, 4, 2, 2, 3, 4, 1, 1, 1, 4, 3, 3, 2, 3, 4, 1, 3, 2, 0, 1, 1, 1, 4, 0, 0, 0, 2, 0, 4, 1, 3, 1, 2, 0, 4, 4, 2, 4, 3, 2, 1, 2, 4, 2, 4, 1, 2, 2, 1, 2, 3, 1, 4, 3, 1, 4, 4, 3, 3, 2, 4, 2, 3, 0, 2, 0, 2, 4, 3, 2, 1, 3, 2, 1, 2, 2, 4, 0, 1, 0, 3, 0, 1, 4, 4, 3, 4, 2, 2, 2, 2, 2, 3, 2, 0, 2, 0, 0, 4, 1, 2, 3, 3, 0, 4, 4, 3, 3, 3, 1, 3, 3, 4, 2, 1, 3, 1, 4, 2, 3, 0, 0, 3, 1, 2, 3, 1, 1, 3, 0, 0, 3, 2, 1, 2, 2, 3, 2, 2, 4, 1, 0, 4, 2]
pubkeycol1616 = [1, 4, 1, 1, 1, 2, 0, 4, 1, 2, 0, 4, 1, 1, 0, 2, 0, 3, 1, 1, 0, 0, 2, 4, 1, 4, 1, 0, 0, 3, 0, 2, 0, 1, 1, 3, 1, 2, 4, 4, 0, 2, 4, 2, 1, 1, 2, 2, 1, 3, 4, 0, 2, 0, 3, 1, 4, 2, 2, 0, 2, 1, 0, 4, 2, 3, 0, 4, 3, 0, 3, 3, 1, 2, 0, 0, 4, 4, 1, 3, 3, 2, 1, 3, 3, 3, 0, 3, 3, 1, 1, 4, 3, 1, 3, 1, 3, 2, 3, 0, 0, 2, 0, 3, 3, 1, 4, 2, 4, 1, 3, 1, 2, 2, 2, 3, 4, 4, 0, 3, 4, 3, 2, 3, 3, 3, 2, 1, 2, 0, 3, 2, 1, 0, 4, 3, 1, 0, 1, 1, 4, 4, 0, 2, 1, 3, 1, 3, 1, 0, 3, 4, 1, 4, 4, 2, 4, 1, 3, 4, 3, 1, 1, 1, 0, 1, 2, 3, 3, 3, 1, 3, 3, 1, 4, 4, 0, 4, 2, 2, 4, 3, 1, 3, 0, 0, 2, 3, 2, 1, 0, 1, 0, 1, 2, 4, 2, 2, 2, 1, 0, 2, 0, 4, 1, 3, 4, 1, 2, 4, 2, 0, 0, 2, 3, 0, 1, 1, 2, 0, 1, 2, 1, 0, 4, 0, 0, 1, 1, 4, 1, 3, 3, 2, 1, 4, 3, 3, 3, 3, 4, 3, 3, 2, 1, 3, 2, 3, 1, 1, 4, 1, 4, 4, 4, 0, 3, 1, 4, 0, 0, 1, 2, 4, 4, 4, 0, 2, 4, 0, 2, 3, 3, 2, 0, 3, 4, 0, 4, 4, 2, 1, 1, 1, 2, 3, 4, 2, 2, 1, 0, 0, 1, 3, 0, 2, 1, 4, 3, 1, 0, 0, 0, 2, 0, 2, 2, 0, 4, 4, 1, 3, 4, 1, 3, 4, 0, 3, 4, 2, 3, 3, 2, 1, 4, 3, 2, 2, 0, 4, 3, 3, 1, 0, 4, 3, 4, 0, 3, 4, 3, 4, 2, 0, 4, 4, 3, 4, 3, 3, 0, 0, 1, 0, 3, 0, 0, 2, 1, 3, 1, 1, 4, 3, 0, 2, 1, 0, 2, 1, 2, 2, 4, 4, 4, 2, 4, 1, 1, 4, 1, 2, 4, 4, 0, 0, 0, 3, 4, 3, 4, 1, 0, 4, 3, 3, 3, 1, 3, 1, 4, 4, 1, 4, 2, 0, 2, 3, 2, 4, 4, 3, 1, 4, 4, 3, 4, 2, 3, 4, 2, 3, 1, 1, 0, 3, 3, 0, 0, 4, 1, 0, 3, 1, 0, 0, 4, 4, 0, 0, 2, 1, 0, 4, 2, 3, 4, 1, 1, 2, 1, 0, 0, 2, 2, 1, 3, 3, 0, 2, 4, 4, 2, 0, 0, 3, 3, 2, 0, 2, 2, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 2, 2, 0, 0, 3, 2, 0, 0, 3, 0, 2, 2, 4, 3, 3, 1, 3, 3, 3, 1, 1, 0, 4, 4]
pubkeycol1617 = [4, 3, 2, 0, 1, 1, 0, 2, 4, 3, 1, 0, 3, 4, 2, 2, 4, 2, 2, 4, 1, 1, 4, 3, 4, 4, 4, 2, 2, 3, 0, 1, 0, 3, 3, 1, 3, 3, 0, 1, 0, 4, 1, 3, 0, 0, 2, 2, 3, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 3, 0, 2, 2, 0, 2, 1, 3, 1, 2, 3, 4, 2, 0, 4, 1, 4, 4, 1, 0, 3, 0, 4, 0, 2, 2, 3, 2, 4, 3, 2, 4, 1, 3, 0, 1, 3, 0, 0, 0, 0, 0, 1, 3, 0, 3, 2, 1, 0, 1, 2, 4, 2, 2, 3, 3, 2, 4, 0, 0, 2, 0, 2, 2, 2, 0, 2, 4, 4, 2, 0, 3, 4, 0, 3, 4, 3, 3, 3, 0, 3, 0, 2, 4, 4, 2, 2, 4, 1, 4, 3, 4, 1, 3, 1, 4, 2, 0, 0, 1, 3, 4, 1, 2, 4, 1, 2, 3, 3, 2, 1, 3, 0, 3, 4, 0, 0, 1, 1, 2, 3, 2, 3, 0, 0, 4, 4, 2, 0, 2, 4, 2, 1, 4, 3, 1, 2, 2, 1, 0, 3, 4, 2, 4, 2, 1, 2, 0, 2, 0, 3, 0, 2, 1, 2, 3, 2, 4, 3, 0, 3, 1, 0, 0, 4, 4, 1, 2, 4, 3, 2, 3, 4, 3, 1, 0, 3, 3, 4, 2, 4, 2, 2, 2, 4, 0, 1, 4, 2, 0, 4, 2, 2, 3, 0, 2, 4, 1, 1, 4, 4, 3, 4, 0, 1, 3, 1, 0, 4, 4, 3, 1, 3, 4, 3, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 3, 0, 2, 1, 3, 4, 2, 0, 0, 3, 2, 0, 1, 0, 2, 4, 3, 0, 4, 1, 2, 2, 2, 2, 3, 0, 1, 4, 0, 4, 2, 0, 1, 1, 1, 4, 2, 1, 3, 0, 3, 4, 4, 3, 4, 2, 1, 1, 4, 1, 3, 3, 0, 0, 0, 2, 1, 1, 0, 3, 2, 0, 2, 2, 4, 0, 1, 3, 3, 2, 3, 4, 4, 2, 1, 3, 0, 1, 3, 0, 0, 0, 4, 0, 1, 1, 3, 4, 4, 3, 4, 4, 0, 3, 1, 0, 0, 4, 1, 3, 0, 4, 0, 1, 4, 0, 1, 0, 0, 3, 1, 3, 1, 4, 4, 3, 1, 1, 1, 0, 3, 4, 3, 4, 3, 2, 1, 3, 0, 2, 1, 1, 2, 3, 4, 4, 4, 4, 1, 1, 1, 0, 1, 3, 1, 4, 2, 0, 3, 4, 0, 0, 2, 1, 2, 1, 4, 2, 0, 3, 2, 2, 2, 4, 4, 1, 2, 4, 3, 1, 0, 3, 3, 1, 3, 3, 1, 2, 1, 3, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 3, 1, 3, 1, 3, 3, 4, 0, 3, 1, 1, 4, 4, 4, 4, 1, 2, 4, 3, 2, 4, 0, 1, 4, 2, 2, 4, 2, 2]
pubkeycol1618 = [2, 0, 4, 1, 3, 2, 0, 4, 4, 1, 0, 1, 3, 1, 3, 4, 2, 3, 4, 2, 2, 1, 4, 1, 0, 4, 0, 1, 2, 3, 4, 4, 2, 2, 0, 3, 4, 1, 2, 3, 3, 1, 3, 4, 3, 0, 3, 3, 1, 0, 0, 2, 3, 4, 3, 0, 4, 0, 0, 2, 1, 2, 1, 1, 2, 3, 4, 0, 3, 1, 1, 0, 0, 0, 3, 4, 0, 2, 3, 0, 0, 2, 2, 0, 4, 3, 3, 2, 2, 3, 1, 1, 4, 3, 4, 3, 0, 0, 3, 4, 0, 1, 2, 2, 1, 4, 4, 1, 2, 3, 2, 0, 0, 1, 2, 4, 4, 0, 3, 2, 0, 4, 2, 3, 0, 2, 0, 1, 2, 0, 4, 3, 0, 0, 0, 1, 4, 0, 1, 3, 0, 3, 1, 1, 1, 0, 4, 0, 0, 2, 3, 4, 3, 1, 4, 2, 2, 1, 1, 0, 2, 2, 3, 0, 0, 2, 1, 2, 4, 0, 3, 0, 1, 2, 2, 3, 2, 1, 0, 3, 3, 2, 2, 0, 2, 2, 1, 0, 3, 4, 0, 2, 2, 0, 2, 2, 4, 0, 3, 3, 3, 0, 3, 0, 2, 3, 0, 3, 2, 4, 0, 3, 3, 4, 4, 3, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 3, 3, 1, 0, 0, 2, 4, 2, 2, 1, 0, 2, 4, 1, 4, 3, 3, 4, 2, 4, 4, 4, 2, 3, 2, 1, 1, 0, 1, 4, 3, 1, 1, 3, 4, 2, 0, 4, 3, 0, 3, 2, 3, 2, 4, 4, 3, 3, 0, 2, 3, 3, 4, 0, 0, 0, 3, 3, 3, 1, 2, 1, 4, 0, 0, 1, 3, 3, 4, 0, 0, 2, 2, 2, 3, 3, 4, 4, 2, 4, 3, 1, 4, 2, 4, 1, 0, 1, 1, 2, 3, 3, 1, 2, 3, 0, 4, 1, 3, 3, 3, 1, 0, 2, 1, 4, 4, 3, 0, 1, 3, 2, 1, 3, 0, 2, 2, 3, 3, 3, 0, 3, 4, 4, 2, 4, 0, 0, 4, 3, 3, 4, 2, 0, 0, 1, 1, 4, 3, 3, 2, 4, 1, 3, 0, 4, 1, 4, 0, 4, 4, 4, 3, 3, 4, 2, 1, 3, 3, 2, 0, 4, 3, 2, 2, 1, 2, 4, 3, 4, 2, 0, 4, 2, 0, 0, 0, 0, 2, 3, 0, 4, 4, 2, 0, 3, 3, 4, 3, 3, 1, 0, 0, 2, 0, 4, 0, 2, 3, 0, 4, 2, 4, 3, 3, 3, 3, 2, 3, 2, 4, 0, 0, 3, 3, 2, 4, 0, 1, 0, 0, 3, 4, 0, 4, 3, 1, 2, 0, 4, 2, 0, 0, 2, 2, 4, 1, 2, 2, 4, 1, 3, 0, 2, 1, 1, 0, 1, 3, 4, 2, 0, 4, 4, 1, 4, 4, 3, 0, 3, 4, 3, 1, 2, 1, 1, 2, 4, 0, 3, 4, 4, 0, 4, 4, 3, 3]
pubkeycol1619 = [0, 1, 3, 1, 0, 3, 0, 4, 1, 4, 0, 1, 4, 0, 4, 2, 3, 0, 2, 0, 4, 2, 3, 2, 1, 2, 4, 2, 1, 0, 0, 3, 4, 3, 4, 0, 0, 3, 1, 3, 3, 4, 0, 2, 1, 4, 1, 4, 2, 4, 2, 3, 3, 0, 4, 1, 1, 2, 3, 1, 4, 2, 0, 4, 0, 4, 3, 1, 0, 1, 3, 2, 0, 3, 1, 2, 2, 4, 1, 1, 1, 3, 2, 1, 3, 0, 0, 2, 0, 2, 4, 2, 1, 3, 4, 4, 0, 0, 2, 0, 2, 0, 1, 1, 3, 2, 4, 1, 0, 3, 2, 3, 4, 3, 4, 1, 3, 1, 4, 0, 3, 0, 3, 4, 2, 1, 3, 1, 3, 0, 2, 2, 3, 3, 2, 3, 1, 4, 2, 1, 3, 2, 3, 1, 2, 0, 1, 2, 1, 4, 4, 3, 4, 1, 2, 1, 4, 0, 1, 4, 3, 2, 2, 0, 3, 2, 1, 0, 2, 3, 3, 0, 0, 0, 1, 4, 2, 1, 4, 4, 4, 0, 1, 3, 4, 4, 4, 0, 2, 2, 0, 2, 1, 1, 4, 3, 1, 4, 2, 1, 4, 4, 4, 2, 2, 4, 1, 0, 0, 3, 4, 2, 4, 2, 0, 4, 2, 3, 3, 1, 4, 1, 1, 3, 4, 1, 3, 3, 3, 1, 3, 0, 0, 0, 2, 0, 4, 4, 2, 3, 1, 0, 4, 0, 1, 2, 3, 1, 4, 1, 0, 4, 0, 1, 0, 1, 4, 4, 3, 0, 1, 1, 3, 2, 0, 1, 4, 3, 4, 2, 4, 4, 2, 0, 4, 4, 0, 0, 4, 0, 2, 0, 3, 1, 3, 1, 3, 3, 3, 4, 0, 3, 3, 4, 0, 2, 2, 3, 2, 1, 4, 2, 2, 4, 2, 2, 3, 2, 3, 3, 3, 1, 0, 2, 4, 0, 4, 2, 1, 4, 3, 2, 4, 1, 4, 4, 2, 4, 2, 0, 1, 1, 3, 2, 1, 3, 4, 4, 4, 1, 2, 2, 2, 2, 0, 3, 2, 4, 2, 2, 0, 4, 1, 2, 1, 1, 0, 4, 4, 0, 4, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 3, 2, 3, 2, 3, 4, 4, 4, 4, 3, 3, 4, 3, 4, 1, 1, 3, 2, 3, 0, 0, 2, 0, 3, 4, 3, 0, 3, 2, 0, 2, 3, 1, 0, 0, 2, 3, 3, 2, 0, 3, 4, 1, 2, 0, 2, 3, 2, 0, 1, 0, 1, 3, 4, 1, 4, 3, 3, 0, 1, 1, 3, 0, 4, 2, 3, 0, 2, 2, 3, 3, 0, 0, 1, 3, 3, 0, 4, 2, 0, 2, 4, 0, 1, 2, 4, 0, 2, 4, 4, 0, 2, 0, 2, 4, 0, 2, 0, 3, 0, 4, 2, 3, 1, 4, 0, 0, 2, 3, 1, 3, 3, 2, 4, 3, 0, 4, 0, 3, 4, 0, 3, 3, 0, 2, 0, 4, 4, 2, 0, 1, 1, 4]
pubkeycol1620 = [1, 0, 4, 1, 0, 0, 1, 4, 1, 2, 3, 2, 3, 4, 2, 3, 1, 0, 1, 1, 2, 3, 1, 0, 4, 1, 4, 1, 1, 4, 0, 1, 0, 0, 4, 1, 0, 0, 3, 1, 4, 4, 4, 0, 3, 0, 0, 3, 2, 0, 4, 2, 1, 1, 4, 1, 1, 0, 1, 0, 2, 0, 3, 0, 0, 4, 0, 3, 0, 2, 3, 1, 1, 1, 4, 0, 2, 2, 0, 3, 3, 2, 1, 3, 1, 4, 4, 4, 4, 1, 4, 2, 1, 1, 4, 1, 2, 1, 4, 2, 4, 1, 0, 0, 0, 0, 1, 0, 2, 3, 4, 1, 2, 4, 1, 3, 2, 0, 1, 1, 2, 3, 0, 3, 3, 1, 2, 4, 1, 3, 3, 0, 3, 0, 4, 1, 0, 1, 2, 0, 3, 0, 3, 3, 2, 4, 1, 0, 3, 2, 2, 1, 1, 1, 0, 1, 3, 4, 4, 2, 3, 4, 3, 0, 1, 2, 2, 3, 4, 3, 1, 3, 2, 4, 4, 1, 3, 1, 1, 1, 0, 3, 3, 3, 3, 1, 3, 2, 3, 3, 3, 0, 3, 4, 2, 2, 4, 3, 2, 0, 3, 3, 3, 3, 2, 3, 4, 3, 4, 3, 3, 0, 0, 4, 0, 3, 4, 4, 4, 2, 3, 1, 2, 3, 4, 2, 1, 3, 4, 2, 1, 2, 4, 0, 4, 2, 2, 3, 4, 4, 4, 4, 1, 3, 3, 3, 1, 4, 3, 1, 1, 0, 1, 4, 1, 3, 3, 2, 4, 1, 1, 1, 2, 1, 2, 3, 4, 1, 1, 2, 2, 0, 0, 3, 3, 4, 2, 1, 1, 4, 0, 4, 2, 0, 4, 4, 0, 2, 1, 2, 1, 1, 2, 3, 0, 4, 1, 4, 2, 2, 1, 2, 2, 0, 4, 4, 3, 0, 2, 2, 4, 0, 4, 1, 4, 2, 4, 3, 1, 4, 2, 1, 0, 2, 1, 3, 4, 3, 2, 2, 3, 1, 4, 0, 3, 3, 3, 0, 4, 3, 3, 3, 2, 2, 2, 1, 0, 4, 2, 1, 1, 0, 0, 3, 3, 4, 4, 3, 2, 2, 0, 0, 2, 2, 2, 3, 1, 4, 2, 0, 0, 2, 3, 1, 2, 1, 4, 2, 2, 3, 4, 0, 3, 4, 0, 1, 3, 0, 0, 1, 3, 1, 0, 1, 0, 1, 1, 4, 0, 2, 4, 4, 3, 4, 2, 4, 0, 4, 0, 1, 2, 3, 1, 4, 1, 3, 0, 0, 1, 2, 2, 1, 1, 4, 3, 4, 4, 4, 2, 4, 0, 1, 1, 4, 0, 2, 2, 4, 2, 2, 2, 4, 1, 2, 3, 3, 4, 0, 1, 3, 0, 2, 4, 0, 0, 4, 4, 1, 0, 2, 4, 2, 3, 3, 1, 3, 3, 1, 1, 4, 0, 0, 0, 4, 0, 1, 1, 0, 2, 4, 2, 1, 1, 2, 1, 2, 0, 1, 4, 0, 2, 4, 3, 3, 1, 4, 0, 0, 0, 0, 3, 4, 1, 2, 3]
pubkeycol1621 = [1, 0, 4, 1, 2, 0, 2, 4, 1, 3, 0, 3, 1, 3, 0, 3, 4, 0, 1, 4, 1, 0, 0, 3, 4, 2, 2, 1, 2, 2, 0, 3, 3, 4, 4, 3, 0, 3, 4, 3, 2, 2, 3, 4, 1, 0, 0, 4, 2, 0, 2, 4, 2, 0, 2, 3, 0, 2, 3, 1, 4, 0, 0, 3, 4, 4, 1, 0, 0, 2, 2, 3, 0, 2, 1, 2, 2, 2, 1, 3, 0, 2, 3, 2, 2, 2, 1, 1, 4, 4, 4, 3, 4, 0, 2, 0, 4, 2, 4, 0, 0, 4, 1, 2, 2, 4, 4, 1, 4, 1, 3, 4, 2, 3, 2, 1, 1, 0, 0, 2, 3, 4, 1, 3, 4, 0, 1, 2, 3, 0, 0, 2, 3, 3, 2, 4, 2, 3, 0, 1, 4, 0, 4, 2, 0, 2, 3, 1, 0, 0, 3, 0, 4, 1, 3, 4, 2, 0, 3, 2, 1, 1, 1, 0, 0, 4, 0, 3, 3, 3, 4, 3, 2, 3, 3, 0, 0, 1, 4, 2, 1, 1, 1, 0, 4, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 4, 2, 3, 2, 1, 1, 4, 4, 2, 0, 4, 1, 1, 0, 4, 4, 0, 1, 3, 4, 1, 1, 3, 2, 0, 3, 4, 3, 3, 1, 0, 0, 2, 3, 2, 0, 4, 1, 4, 1, 3, 4, 3, 1, 3, 1, 0, 1, 0, 0, 2, 4, 3, 4, 0, 3, 1, 4, 3, 3, 0, 2, 0, 4, 2, 1, 1, 0, 4, 0, 3, 1, 4, 2, 0, 2, 2, 2, 1, 1, 4, 3, 0, 3, 2, 1, 0, 3, 3, 3, 1, 3, 4, 3, 4, 0, 3, 3, 0, 4, 1, 0, 1, 2, 1, 3, 0, 2, 4, 0, 1, 3, 2, 0, 0, 2, 2, 0, 4, 4, 0, 4, 4, 4, 0, 1, 2, 4, 1, 2, 1, 0, 0, 2, 0, 1, 3, 2, 3, 4, 1, 1, 1, 2, 1, 1, 0, 4, 3, 4, 1, 4, 4, 0, 4, 2, 1, 0, 3, 1, 2, 2, 1, 1, 0, 3, 3, 2, 3, 0, 2, 1, 1, 4, 0, 1, 0, 1, 3, 3, 2, 3, 4, 2, 4, 4, 4, 1, 0, 3, 0, 3, 3, 4, 4, 2, 1, 0, 1, 0, 3, 0, 2, 1, 2, 4, 4, 2, 1, 1, 0, 4, 4, 3, 1, 3, 0, 3, 3, 2, 4, 4, 1, 0, 1, 3, 3, 2, 0, 1, 3, 3, 0, 2, 4, 4, 3, 3, 3, 3, 2, 0, 3, 1, 2, 0, 4, 4, 3, 1, 3, 0, 0, 1, 1, 0, 1, 2, 1, 3, 3, 1, 4, 4, 2, 0, 0, 1, 0, 3, 4, 1, 2, 2, 0, 4, 4, 0, 4, 2, 1, 4, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 4, 1, 4, 3, 4, 3, 1, 2, 0, 1]
pubkeycol1622 = [4, 2, 0, 1, 1, 4, 1, 4, 2, 0, 1, 4, 2, 0, 0, 4, 3, 4, 2, 1, 2, 4, 2, 0, 1, 0, 4, 1, 3, 1, 2, 3, 1, 3, 1, 4, 2, 0, 0, 1, 1, 3, 2, 0, 0, 1, 0, 3, 2, 3, 3, 3, 2, 2, 2, 2, 0, 2, 4, 0, 0, 2, 3, 3, 2, 4, 4, 3, 4, 1, 3, 0, 3, 1, 0, 0, 2, 4, 4, 0, 4, 4, 2, 0, 1, 1, 4, 4, 1, 0, 4, 4, 1, 0, 4, 2, 3, 3, 1, 0, 3, 0, 0, 4, 3, 4, 3, 0, 0, 0, 4, 2, 1, 2, 3, 4, 3, 4, 0, 0, 1, 2, 4, 1, 2, 0, 0, 0, 0, 0, 3, 3, 0, 4, 4, 1, 1, 4, 0, 0, 1, 3, 0, 3, 3, 1, 3, 0, 4, 0, 3, 0, 3, 2, 3, 2, 3, 4, 4, 2, 4, 1, 0, 3, 1, 1, 4, 4, 0, 4, 1, 2, 1, 4, 2, 2, 4, 0, 4, 4, 2, 4, 1, 2, 1, 3, 3, 3, 1, 4, 0, 3, 1, 0, 4, 3, 1, 2, 1, 3, 4, 3, 0, 4, 3, 2, 1, 0, 0, 4, 0, 3, 1, 2, 4, 1, 3, 1, 1, 1, 1, 4, 3, 4, 2, 0, 4, 3, 2, 2, 2, 3, 0, 1, 4, 0, 0, 3, 0, 1, 0, 2, 3, 1, 4, 1, 3, 2, 3, 4, 1, 3, 3, 4, 3, 2, 1, 3, 0, 1, 4, 1, 0, 2, 3, 4, 3, 2, 0, 0, 4, 0, 3, 2, 2, 2, 1, 3, 4, 4, 3, 0, 2, 2, 3, 2, 2, 0, 2, 4, 4, 0, 2, 3, 0, 1, 2, 2, 1, 3, 1, 0, 1, 2, 0, 4, 0, 0, 3, 1, 3, 3, 3, 0, 3, 1, 1, 2, 0, 1, 2, 0, 4, 0, 3, 0, 0, 0, 0, 3, 2, 2, 1, 1, 2, 1, 1, 4, 3, 3, 3, 2, 0, 4, 0, 3, 1, 0, 0, 4, 3, 3, 0, 4, 3, 2, 1, 4, 1, 2, 4, 4, 2, 3, 4, 0, 0, 0, 1, 2, 1, 0, 0, 4, 1, 4, 1, 2, 3, 2, 2, 2, 2, 3, 0, 1, 4, 1, 1, 1, 2, 4, 3, 0, 2, 0, 2, 4, 0, 2, 1, 0, 2, 0, 2, 4, 1, 3, 3, 0, 0, 0, 4, 3, 2, 4, 3, 0, 2, 1, 2, 2, 0, 4, 4, 0, 2, 3, 4, 4, 1, 4, 1, 1, 2, 1, 2, 1, 0, 3, 1, 3, 2, 2, 2, 2, 0, 0, 2, 4, 0, 4, 4, 1, 4, 1, 4, 4, 3, 1, 0, 4, 4, 1, 2, 4, 4, 2, 1, 1, 1, 0, 1, 3, 1, 0, 1, 1, 4, 1, 0, 3, 2, 2, 1, 2, 1, 0, 0, 2, 4, 3, 3, 1, 2, 3, 2, 3, 4, 2, 4, 0, 0, 3, 2]
pubkeycol1623 = [2, 1, 4, 4, 4, 1, 2, 4, 2, 3, 3, 4, 3, 4, 0, 1, 3, 0, 3, 3, 3, 4, 4, 2, 4, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 4, 3, 0, 2, 1, 4, 1, 2, 0, 3, 3, 0, 2, 3, 0, 1, 0, 4, 2, 2, 4, 3, 2, 2, 4, 0, 2, 2, 1, 1, 4, 2, 3, 1, 4, 2, 3, 3, 3, 0, 1, 1, 2, 4, 4, 4, 0, 4, 4, 1, 1, 3, 4, 2, 2, 1, 3, 1, 4, 1, 2, 4, 4, 1, 2, 3, 0, 0, 2, 4, 4, 1, 2, 1, 2, 4, 2, 4, 0, 2, 3, 4, 3, 1, 2, 2, 4, 1, 2, 1, 0, 0, 3, 2, 0, 0, 4, 0, 3, 2, 4, 1, 0, 3, 2, 2, 2, 0, 3, 2, 4, 2, 1, 0, 1, 1, 3, 1, 0, 1, 4, 0, 3, 0, 4, 0, 4, 1, 4, 1, 0, 1, 0, 4, 3, 0, 1, 4, 0, 3, 1, 4, 4, 4, 3, 2, 3, 2, 4, 3, 1, 2, 0, 3, 2, 4, 4, 2, 2, 2, 2, 2, 0, 2, 0, 4, 1, 2, 1, 4, 3, 1, 2, 3, 3, 4, 2, 1, 3, 2, 4, 2, 4, 3, 0, 4, 0, 2, 4, 3, 4, 1, 3, 1, 0, 3, 4, 3, 0, 2, 0, 4, 1, 0, 4, 4, 3, 2, 3, 1, 3, 4, 4, 1, 3, 1, 1, 4, 3, 0, 3, 0, 1, 3, 0, 4, 3, 2, 3, 2, 0, 1, 2, 1, 2, 2, 1, 4, 3, 2, 2, 2, 2, 2, 1, 4, 0, 4, 1, 4, 2, 4, 0, 4, 4, 0, 2, 1, 3, 3, 0, 3, 2, 4, 4, 3, 2, 4, 2, 2, 1, 0, 0, 0, 0, 1, 3, 2, 2, 0, 1, 3, 1, 3, 4, 0, 2, 4, 1, 1, 0, 3, 1, 2, 2, 0, 3, 3, 1, 0, 1, 3, 3, 0, 2, 3, 4, 0, 4, 1, 2, 2, 2, 3, 4, 4, 1, 3, 2, 1, 3, 2, 1, 0, 3, 1, 0, 4, 4, 3, 0, 0, 1, 1, 2, 0, 3, 3, 1, 3, 2, 4, 4, 3, 0, 0, 1, 1, 0, 3, 1, 2, 4, 2, 0, 2, 3, 0, 0, 4, 2, 4, 2, 3, 4, 4, 3, 4, 4, 4, 2, 4, 0, 3, 4, 1, 3, 3, 1, 0, 2, 0, 2, 0, 1, 1, 1, 4, 2, 3, 0, 4, 2, 2, 2, 4, 0, 4, 3, 0, 4, 3, 3, 0, 2, 1, 3, 2, 2, 2, 4, 1, 4, 4, 3, 0, 3, 0, 4, 4, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 3, 0, 3, 3, 2, 1, 4, 1, 2, 2, 2, 4, 2, 4, 2, 2, 0, 0, 2, 3, 1, 2, 2, 1, 2, 2, 2, 1, 4, 4, 4, 1, 0, 2, 2, 1, 2, 2, 3, 2]
pubkeycol1624 = [0, 2, 2, 2, 2, 0, 1, 1, 0, 4, 1, 1, 3, 1, 4, 1, 1, 3, 1, 4, 1, 4, 4, 3, 2, 0, 0, 2, 0, 2, 4, 1, 4, 1, 1, 1, 1, 1, 4, 2, 2, 3, 4, 3, 3, 4, 4, 2, 0, 0, 4, 2, 4, 0, 1, 2, 3, 1, 1, 3, 2, 2, 0, 4, 4, 2, 1, 3, 1, 1, 0, 4, 2, 4, 4, 2, 1, 2, 0, 1, 3, 1, 2, 3, 0, 0, 0, 4, 4, 3, 2, 2, 3, 4, 1, 0, 0, 0, 3, 3, 4, 0, 1, 4, 2, 3, 4, 4, 1, 4, 3, 3, 2, 0, 0, 2, 1, 3, 0, 3, 0, 1, 3, 0, 0, 1, 1, 0, 0, 4, 4, 1, 4, 1, 0, 2, 1, 1, 4, 4, 3, 4, 2, 0, 3, 3, 4, 4, 0, 3, 3, 2, 0, 3, 4, 3, 1, 2, 2, 2, 2, 1, 3, 1, 1, 3, 2, 0, 0, 2, 2, 0, 3, 1, 2, 3, 3, 1, 3, 3, 1, 4, 4, 1, 2, 2, 0, 0, 0, 0, 0, 3, 4, 2, 4, 1, 3, 2, 4, 1, 4, 1, 4, 3, 4, 0, 2, 0, 4, 4, 0, 0, 1, 2, 4, 1, 1, 3, 0, 2, 4, 4, 4, 2, 4, 0, 1, 2, 2, 3, 2, 3, 2, 2, 0, 0, 4, 0, 2, 1, 1, 0, 0, 2, 0, 2, 3, 0, 3, 0, 4, 0, 4, 3, 1, 0, 0, 1, 0, 0, 0, 1, 1, 4, 3, 2, 3, 3, 1, 2, 0, 3, 0, 0, 3, 1, 2, 2, 4, 2, 4, 0, 2, 3, 1, 2, 4, 3, 0, 1, 3, 4, 0, 1, 2, 1, 2, 4, 2, 2, 4, 2, 2, 1, 4, 2, 4, 3, 4, 3, 2, 3, 3, 0, 4, 3, 4, 1, 1, 2, 1, 2, 1, 4, 2, 0, 1, 0, 3, 4, 3, 0, 2, 3, 0, 1, 4, 3, 1, 0, 0, 2, 0, 1, 2, 0, 4, 4, 4, 0, 0, 1, 3, 2, 4, 3, 1, 3, 2, 2, 0, 2, 2, 1, 1, 2, 2, 4, 3, 0, 0, 0, 0, 3, 1, 0, 1, 2, 2, 2, 1, 4, 3, 1, 1, 4, 2, 4, 1, 3, 0, 1, 1, 3, 4, 1, 1, 3, 1, 0, 1, 3, 0, 4, 0, 0, 1, 0, 1, 3, 2, 0, 2, 4, 0, 3, 1, 3, 4, 4, 0, 3, 0, 3, 3, 4, 1, 2, 4, 2, 1, 0, 0, 3, 4, 0, 1, 4, 0, 2, 4, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 3, 4, 4, 2, 2, 3, 2, 2, 2, 3, 4, 0, 2, 1, 0, 4, 3, 2, 2, 4, 3, 1, 0, 0, 4, 4, 4, 4, 0, 2, 3, 4, 1, 4, 3, 4, 0, 4, 0, 4, 0, 1, 0, 4, 0, 2, 0, 0, 0]
pubkeycol1625 = [1, 1, 3, 4, 3, 4, 1, 4, 1, 4, 1, 0, 0, 1, 0, 0, 3, 0, 1, 3, 1, 3, 0, 2, 0, 1, 0, 3, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 4, 0, 0, 4, 0, 2, 0, 0, 0, 0, 3, 2, 4, 4, 2, 2, 2, 4, 0, 3, 4, 4, 2, 2, 4, 2, 4, 1, 0, 2, 4, 1, 4, 3, 0, 1, 4, 2, 1, 2, 0, 3, 0, 2, 4, 1, 1, 2, 1, 3, 1, 2, 4, 0, 4, 4, 4, 3, 3, 2, 3, 3, 4, 3, 4, 3, 0, 4, 2, 4, 0, 3, 3, 1, 4, 0, 2, 2, 4, 1, 3, 2, 2, 2, 1, 2, 2, 3, 1, 1, 3, 3, 4, 0, 2, 1, 0, 4, 2, 1, 3, 1, 0, 2, 1, 3, 2, 1, 2, 1, 1, 1, 0, 2, 0, 3, 3, 4, 2, 4, 1, 2, 2, 2, 3, 4, 2, 0, 3, 3, 2, 4, 3, 1, 0, 0, 2, 0, 3, 1, 2, 0, 2, 0, 1, 1, 2, 3, 2, 2, 4, 0, 0, 4, 1, 2, 1, 0, 3, 2, 0, 3, 3, 4, 3, 2, 4, 0, 1, 0, 3, 0, 0, 3, 1, 0, 0, 0, 1, 4, 0, 1, 3, 1, 4, 1, 3, 0, 1, 1, 3, 1, 3, 4, 3, 1, 2, 3, 1, 1, 4, 3, 4, 1, 2, 4, 2, 4, 0, 2, 2, 3, 0, 1, 0, 2, 2, 2, 1, 2, 4, 4, 2, 4, 4, 1, 1, 1, 1, 2, 4, 2, 4, 4, 4, 4, 0, 4, 4, 4, 1, 4, 1, 2, 2, 4, 3, 2, 2, 2, 0, 1, 4, 0, 2, 0, 1, 1, 4, 4, 4, 4, 3, 0, 1, 3, 2, 1, 2, 3, 3, 1, 4, 3, 2, 1, 3, 2, 3, 4, 1, 4, 0, 4, 0, 4, 2, 3, 4, 4, 4, 0, 0, 0, 4, 0, 1, 3, 0, 0, 0, 4, 3, 4, 2, 1, 3, 4, 2, 4, 0, 4, 4, 0, 3, 4, 2, 0, 4, 4, 3, 2, 2, 1, 2, 0, 1, 3, 2, 3, 0, 0, 1, 0, 2, 3, 2, 1, 1, 2, 3, 4, 2, 4, 3, 3, 3, 0, 0, 0, 1, 3, 1, 4, 3, 1, 3, 4, 2, 2, 3, 1, 2, 4, 3, 0, 3, 0, 3, 2, 0, 4, 4, 2, 0, 2, 4, 1, 2, 1, 1, 3, 3, 0, 0, 0, 2, 1, 1, 1, 0, 4, 0, 2, 4, 1, 1, 4, 3, 1, 3, 4, 3, 2, 0, 2, 1, 0, 3, 4, 0, 0, 2, 3, 0, 3, 0, 1, 1, 3, 3, 3, 3, 2, 0, 2, 2, 4, 3, 3, 0, 3, 1, 3, 0, 2, 4, 0, 4, 4, 2, 2, 1, 4, 2, 3, 2, 0, 1, 3, 2, 1, 0, 0, 2, 4, 3, 0, 4, 3, 4, 3, 3]
pubkeycol1626 = [1, 3, 3, 2, 4, 0, 4, 1, 0, 4, 1, 0, 1, 3, 2, 4, 3, 0, 0, 2, 4, 2, 3, 3, 4, 0, 3, 0, 0, 4, 2, 0, 3, 3, 0, 3, 1, 0, 0, 2, 0, 3, 4, 1, 2, 0, 1, 2, 0, 3, 2, 3, 2, 4, 3, 4, 1, 4, 2, 0, 3, 4, 1, 4, 2, 1, 2, 2, 3, 2, 4, 4, 3, 0, 1, 0, 4, 1, 3, 1, 1, 3, 4, 1, 3, 3, 0, 1, 2, 3, 4, 1, 0, 0, 3, 1, 2, 2, 0, 4, 3, 0, 0, 3, 3, 1, 1, 3, 4, 3, 3, 4, 0, 2, 4, 4, 0, 3, 2, 2, 4, 3, 4, 3, 0, 4, 1, 2, 4, 2, 2, 0, 3, 2, 3, 1, 3, 3, 1, 3, 1, 2, 1, 3, 2, 2, 3, 1, 2, 0, 2, 0, 4, 1, 1, 1, 3, 0, 2, 0, 1, 2, 4, 2, 2, 3, 2, 1, 1, 3, 0, 0, 0, 2, 0, 4, 3, 2, 2, 1, 4, 1, 1, 1, 0, 4, 4, 0, 0, 4, 0, 2, 2, 3, 4, 1, 2, 0, 4, 1, 1, 4, 1, 1, 0, 3, 4, 2, 4, 3, 2, 2, 3, 1, 2, 1, 0, 1, 2, 2, 4, 0, 2, 2, 1, 1, 0, 3, 1, 2, 3, 0, 1, 4, 2, 4, 0, 0, 0, 3, 4, 1, 2, 2, 2, 4, 1, 2, 0, 1, 2, 1, 1, 3, 1, 0, 3, 2, 2, 0, 0, 1, 0, 0, 0, 4, 4, 0, 0, 3, 0, 1, 4, 0, 1, 2, 1, 4, 2, 4, 4, 2, 4, 2, 2, 1, 3, 0, 2, 2, 4, 0, 2, 2, 2, 1, 1, 1, 0, 4, 4, 1, 0, 0, 4, 2, 1, 0, 4, 0, 3, 0, 0, 2, 1, 4, 3, 0, 1, 3, 2, 2, 0, 3, 2, 0, 3, 0, 0, 2, 1, 4, 4, 0, 3, 1, 0, 1, 4, 0, 0, 2, 1, 4, 1, 4, 0, 4, 4, 0, 2, 0, 0, 0, 3, 0, 2, 3, 3, 1, 0, 3, 1, 0, 3, 2, 2, 2, 4, 0, 1, 1, 3, 3, 4, 2, 3, 1, 2, 0, 4, 1, 2, 3, 1, 1, 3, 3, 3, 0, 2, 1, 3, 3, 1, 0, 3, 2, 1, 0, 3, 4, 0, 4, 4, 3, 4, 3, 1, 1, 4, 3, 1, 3, 4, 2, 1, 3, 0, 1, 1, 1, 3, 2, 2, 3, 2, 3, 1, 2, 1, 3, 0, 3, 3, 4, 3, 1, 1, 1, 2, 4, 3, 3, 1, 3, 1, 1, 1, 1, 0, 0, 0, 3, 3, 0, 1, 1, 2, 4, 2, 4, 1, 0, 2, 2, 0, 0, 4, 4, 3, 1, 4, 3, 0, 4, 1, 0, 0, 0, 1, 2, 2, 4, 2, 2, 2, 1, 4, 1, 3, 4, 3, 2, 0, 4, 3, 4, 3, 4, 0, 4, 3, 3, 0]
pubkeycol1627 = [2, 3, 2, 4, 3, 2, 4, 1, 3, 4, 2, 1, 1, 0, 2, 1, 1, 0, 4, 0, 3, 4, 3, 4, 4, 2, 3, 0, 4, 3, 3, 2, 3, 0, 1, 2, 3, 1, 2, 3, 4, 0, 3, 3, 1, 2, 4, 4, 0, 0, 3, 1, 3, 1, 1, 0, 2, 0, 1, 3, 4, 0, 0, 4, 2, 3, 0, 1, 2, 1, 4, 4, 0, 1, 1, 0, 3, 1, 4, 2, 4, 4, 1, 0, 3, 0, 3, 3, 2, 3, 2, 2, 0, 1, 4, 1, 0, 0, 1, 1, 1, 3, 2, 1, 0, 1, 1, 2, 4, 1, 4, 1, 1, 4, 4, 2, 1, 1, 2, 2, 4, 4, 3, 0, 2, 3, 0, 0, 4, 1, 1, 4, 0, 4, 2, 0, 0, 4, 0, 1, 1, 1, 4, 4, 0, 0, 2, 4, 2, 0, 1, 4, 2, 4, 4, 1, 2, 4, 4, 2, 3, 4, 3, 3, 0, 4, 3, 4, 0, 2, 1, 4, 3, 2, 1, 1, 0, 3, 0, 4, 0, 0, 3, 2, 4, 3, 3, 0, 1, 2, 2, 1, 4, 2, 0, 3, 2, 3, 4, 4, 0, 4, 2, 3, 2, 1, 4, 3, 2, 4, 2, 3, 0, 0, 2, 3, 0, 0, 4, 2, 3, 1, 0, 2, 4, 1, 3, 3, 2, 4, 3, 1, 3, 4, 4, 1, 3, 3, 3, 4, 0, 4, 0, 2, 3, 4, 0, 1, 4, 4, 0, 0, 2, 2, 4, 2, 1, 4, 1, 3, 2, 0, 0, 2, 4, 3, 1, 1, 2, 1, 2, 1, 4, 3, 1, 0, 2, 4, 0, 1, 2, 3, 1, 1, 2, 0, 0, 4, 1, 0, 0, 3, 1, 1, 3, 4, 3, 0, 2, 0, 1, 0, 0, 4, 0, 4, 0, 3, 3, 3, 4, 2, 4, 3, 2, 3, 3, 4, 2, 4, 1, 1, 3, 1, 4, 0, 3, 3, 1, 3, 3, 1, 0, 2, 0, 1, 1, 3, 0, 3, 3, 4, 4, 3, 3, 0, 0, 0, 2, 4, 1, 4, 4, 1, 3, 3, 1, 2, 0, 1, 4, 4, 3, 4, 0, 3, 0, 4, 4, 2, 4, 3, 4, 2, 3, 0, 0, 3, 0, 2, 4, 0, 2, 0, 2, 3, 4, 0, 2, 4, 0, 2, 0, 0, 1, 0, 3, 3, 0, 4, 4, 0, 3, 4, 1, 0, 2, 0, 4, 2, 2, 2, 1, 4, 1, 3, 3, 1, 2, 3, 4, 3, 1, 4, 1, 0, 4, 4, 0, 3, 4, 0, 3, 4, 2, 1, 4, 4, 0, 2, 2, 1, 2, 1, 3, 2, 4, 2, 1, 4, 2, 0, 3, 4, 3, 3, 4, 1, 1, 2, 4, 4, 2, 2, 1, 3, 1, 3, 0, 1, 2, 3, 4, 0, 3, 3, 3, 1, 3, 0, 4, 0, 2, 2, 4, 3, 3, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 3, 1, 4, 2, 3]
pubkeycol1628 = [1, 1, 1, 0, 4, 3, 3, 4, 1, 0, 0, 3, 4, 3, 2, 4, 2, 2, 3, 4, 2, 0, 0, 0, 2, 1, 0, 1, 4, 0, 2, 4, 4, 2, 1, 2, 2, 2, 3, 2, 2, 3, 3, 3, 1, 1, 1, 0, 1, 0, 3, 1, 3, 4, 3, 1, 0, 4, 0, 2, 3, 2, 2, 3, 4, 1, 1, 1, 2, 1, 3, 1, 3, 3, 3, 1, 2, 3, 2, 4, 1, 0, 2, 2, 2, 3, 4, 2, 4, 1, 1, 4, 0, 1, 1, 1, 4, 3, 2, 0, 1, 0, 4, 3, 2, 1, 3, 3, 0, 4, 0, 0, 1, 1, 1, 2, 3, 0, 2, 4, 0, 4, 0, 3, 1, 1, 2, 1, 3, 4, 2, 3, 0, 1, 2, 0, 3, 1, 3, 4, 3, 1, 1, 3, 1, 0, 2, 0, 3, 2, 2, 3, 3, 1, 0, 2, 0, 0, 4, 4, 2, 2, 3, 2, 4, 0, 2, 4, 0, 4, 2, 3, 1, 3, 4, 1, 0, 4, 1, 0, 3, 2, 0, 1, 3, 0, 3, 2, 1, 2, 0, 3, 2, 3, 4, 1, 3, 4, 0, 4, 0, 2, 4, 1, 4, 2, 0, 1, 1, 4, 2, 2, 3, 4, 3, 3, 3, 4, 0, 4, 4, 2, 4, 2, 1, 1, 4, 3, 1, 3, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 3, 3, 3, 2, 3, 0, 2, 0, 1, 2, 3, 3, 1, 2, 4, 2, 4, 0, 1, 2, 3, 0, 2, 4, 0, 3, 3, 0, 4, 3, 0, 0, 4, 2, 1, 1, 0, 4, 1, 1, 4, 0, 0, 1, 0, 1, 1, 2, 0, 0, 4, 4, 0, 3, 3, 3, 4, 4, 0, 2, 3, 1, 2, 0, 3, 2, 3, 0, 2, 1, 3, 0, 0, 3, 1, 0, 0, 3, 4, 0, 1, 0, 2, 0, 3, 2, 1, 2, 1, 3, 0, 0, 4, 3, 4, 2, 3, 2, 3, 1, 0, 3, 1, 1, 0, 3, 3, 1, 1, 0, 4, 3, 2, 0, 4, 3, 3, 0, 1, 4, 2, 1, 2, 3, 2, 1, 0, 1, 4, 4, 3, 2, 0, 4, 0, 0, 3, 3, 3, 1, 0, 2, 2, 0, 1, 0, 3, 4, 2, 0, 2, 1, 0, 3, 0, 1, 2, 0, 0, 4, 1, 3, 0, 3, 2, 3, 3, 1, 3, 0, 0, 2, 4, 3, 1, 3, 0, 3, 4, 4, 4, 3, 2, 4, 2, 2, 3, 0, 0, 4, 4, 4, 0, 2, 4, 0, 4, 2, 0, 3, 1, 2, 4, 1, 3, 2, 3, 2, 3, 1, 1, 2, 3, 3, 4, 2, 2, 4, 1, 4, 0, 2, 2, 4, 3, 2, 0, 0, 4, 4, 2, 3, 2, 0, 0, 4, 2, 0, 1, 2, 1, 3, 0, 0, 4, 4, 1, 2, 0, 4, 2, 3, 3, 3, 3, 3, 1, 3, 0, 4, 0, 3, 0, 1, 1]
pubkeycol1629 = [3, 4, 0, 1, 4, 1, 0, 2, 1, 1, 2, 4, 1, 3, 1, 3, 3, 4, 1, 3, 0, 2, 4, 3, 1, 3, 4, 4, 3, 3, 1, 1, 2, 1, 0, 1, 0, 4, 2, 0, 4, 1, 1, 1, 3, 3, 4, 4, 2, 3, 4, 3, 2, 0, 4, 1, 4, 4, 3, 2, 1, 3, 3, 3, 1, 2, 4, 3, 4, 4, 0, 2, 0, 2, 3, 0, 4, 1, 3, 0, 3, 4, 1, 0, 2, 1, 3, 4, 2, 4, 4, 4, 4, 4, 1, 2, 1, 1, 3, 1, 2, 3, 3, 2, 1, 3, 1, 3, 1, 1, 0, 2, 0, 4, 3, 4, 0, 0, 2, 1, 4, 3, 3, 2, 0, 4, 1, 3, 0, 2, 4, 1, 3, 1, 3, 3, 3, 3, 4, 2, 4, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 3, 1, 3, 1, 3, 2, 3, 0, 0, 3, 4, 1, 3, 0, 2, 0, 1, 4, 3, 0, 1, 0, 4, 1, 0, 4, 2, 4, 3, 1, 3, 0, 3, 3, 4, 0, 4, 4, 1, 4, 2, 3, 0, 4, 3, 1, 4, 2, 2, 3, 0, 3, 0, 4, 2, 2, 3, 1, 2, 1, 1, 4, 0, 0, 0, 4, 2, 1, 4, 1, 0, 2, 4, 3, 4, 4, 2, 2, 4, 0, 1, 0, 2, 2, 0, 0, 0, 0, 4, 3, 4, 0, 2, 2, 1, 3, 3, 0, 2, 0, 2, 3, 0, 3, 0, 3, 4, 0, 2, 2, 3, 4, 1, 4, 4, 3, 0, 0, 4, 0, 3, 0, 2, 4, 3, 0, 3, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 3, 0, 3, 4, 2, 2, 3, 3, 2, 1, 4, 2, 1, 4, 2, 3, 0, 0, 3, 1, 2, 4, 4, 1, 3, 4, 3, 4, 4, 0, 3, 4, 4, 2, 1, 2, 1, 4, 1, 0, 2, 1, 1, 2, 1, 1, 1, 4, 3, 1, 4, 1, 0, 0, 0, 4, 0, 0, 2, 3, 2, 2, 3, 4, 2, 1, 4, 1, 1, 1, 4, 0, 2, 4, 1, 3, 0, 2, 1, 0, 3, 3, 0, 2, 0, 4, 3, 2, 2, 2, 2, 3, 1, 1, 1, 3, 4, 2, 3, 0, 0, 1, 0, 1, 1, 0, 2, 1, 3, 0, 0, 4, 0, 3, 4, 4, 0, 0, 1, 0, 0, 4, 3, 1, 0, 4, 0, 1, 2, 2, 4, 1, 4, 3, 4, 4, 1, 0, 2, 0, 2, 0, 1, 4, 1, 4, 2, 1, 0, 2, 3, 1, 4, 1, 4, 0, 1, 1, 3, 1, 3, 4, 3, 1, 2, 2, 1, 2, 3, 2, 4, 1, 1, 4, 1, 2, 1, 4, 1, 1, 0, 4, 1, 3, 4, 4, 3, 4, 0, 4, 2, 0, 2, 0, 0, 2, 1, 0, 3, 4, 4, 2, 1, 0, 4, 3, 2, 4, 1, 0, 3, 4, 4, 4, 0, 3]
pubkeycol1630 = [2, 2, 0, 4, 0, 3, 3, 3, 4, 4, 3, 1, 1, 2, 3, 2, 0, 0, 3, 1, 4, 2, 2, 0, 3, 1, 2, 0, 0, 3, 0, 3, 3, 0, 0, 0, 4, 0, 4, 1, 4, 1, 4, 4, 2, 2, 4, 0, 4, 1, 2, 0, 1, 0, 2, 2, 4, 3, 0, 0, 1, 0, 3, 2, 2, 4, 0, 4, 0, 2, 0, 1, 0, 3, 0, 4, 0, 0, 1, 4, 4, 2, 2, 1, 2, 4, 4, 1, 4, 1, 0, 4, 3, 4, 1, 2, 3, 3, 1, 0, 3, 0, 3, 4, 0, 1, 1, 4, 3, 0, 4, 4, 1, 0, 4, 3, 3, 3, 4, 4, 3, 4, 0, 0, 4, 1, 2, 1, 4, 0, 2, 2, 1, 3, 0, 1, 0, 4, 0, 1, 4, 4, 1, 2, 4, 4, 1, 4, 1, 1, 1, 1, 1, 2, 1, 4, 4, 0, 0, 2, 1, 0, 4, 4, 0, 3, 4, 2, 4, 2, 4, 1, 0, 2, 2, 0, 1, 2, 4, 4, 0, 0, 1, 0, 1, 1, 3, 3, 3, 2, 3, 2, 0, 2, 0, 4, 3, 2, 4, 4, 4, 0, 3, 3, 0, 1, 3, 1, 2, 1, 3, 0, 4, 0, 3, 4, 1, 1, 4, 4, 3, 4, 0, 0, 1, 2, 1, 2, 2, 3, 4, 2, 1, 2, 0, 0, 0, 0, 1, 4, 3, 2, 4, 2, 3, 2, 1, 0, 1, 2, 3, 0, 3, 2, 1, 3, 1, 4, 0, 1, 0, 0, 2, 1, 4, 4, 2, 4, 3, 2, 3, 0, 3, 3, 1, 0, 3, 2, 2, 2, 3, 2, 2, 3, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 3, 4, 1, 3, 4, 3, 1, 2, 2, 4, 0, 2, 2, 2, 2, 0, 4, 1, 3, 1, 1, 2, 0, 3, 1, 1, 1, 0, 4, 1, 3, 2, 3, 4, 4, 3, 2, 0, 4, 0, 0, 3, 1, 3, 4, 0, 3, 2, 2, 1, 2, 4, 4, 1, 0, 1, 4, 2, 1, 1, 3, 4, 2, 4, 3, 1, 0, 1, 4, 1, 2, 1, 3, 1, 0, 0, 0, 3, 1, 2, 0, 2, 0, 0, 4, 4, 3, 0, 2, 0, 3, 1, 2, 2, 0, 4, 3, 0, 2, 0, 1, 2, 3, 4, 2, 2, 4, 1, 1, 4, 0, 0, 4, 2, 2, 0, 2, 1, 1, 2, 1, 3, 4, 0, 3, 4, 4, 0, 2, 0, 1, 4, 2, 2, 1, 4, 3, 0, 0, 1, 3, 1, 1, 2, 4, 3, 2, 1, 4, 1, 2, 2, 1, 3, 4, 2, 2, 4, 3, 0, 1, 2, 1, 2, 2, 4, 2, 3, 4, 1, 2, 2, 1, 0, 1, 0, 3, 4, 0, 0, 3, 3, 2, 2, 4, 4, 3, 4, 1, 2, 1, 4, 3, 2, 4, 1, 0, 3, 0, 0, 4, 1, 1, 1, 1, 0, 4, 3, 0, 3]
pubkeycol1631 = [1, 3, 1, 0, 4, 3, 0, 1, 1, 2, 0, 0, 1, 2, 4, 4, 3, 3, 1, 2, 2, 1, 3, 4, 1, 1, 4, 0, 2, 1, 0, 2, 4, 0, 0, 3, 3, 2, 3, 0, 0, 1, 1, 2, 3, 4, 1, 3, 1, 1, 2, 2, 1, 0, 2, 2, 3, 2, 1, 2, 3, 4, 1, 0, 2, 2, 3, 3, 4, 2, 3, 4, 1, 4, 4, 0, 0, 3, 0, 4, 4, 1, 0, 3, 0, 4, 2, 0, 0, 0, 2, 3, 1, 0, 0, 3, 3, 3, 1, 0, 4, 1, 2, 2, 0, 3, 4, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 4, 0, 1, 4, 1, 2, 1, 3, 4, 2, 0, 0, 0, 4, 0, 4, 1, 3, 2, 0, 1, 3, 3, 3, 2, 1, 3, 4, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 4, 3, 4, 1, 4, 1, 4, 3, 4, 3, 2, 4, 3, 0, 3, 2, 2, 4, 4, 3, 2, 4, 3, 4, 4, 0, 0, 4, 3, 0, 1, 0, 1, 0, 0, 4, 1, 2, 0, 3, 3, 2, 3, 1, 3, 0, 2, 2, 0, 1, 3, 3, 2, 3, 0, 3, 0, 2, 3, 4, 0, 2, 3, 1, 4, 1, 4, 2, 2, 2, 3, 0, 3, 1, 0, 1, 2, 0, 2, 3, 3, 0, 3, 0, 0, 3, 3, 1, 4, 4, 1, 2, 1, 0, 4, 3, 0, 2, 2, 2, 4, 2, 4, 0, 0, 0, 0, 0, 2, 3, 4, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 4, 0, 2, 4, 4, 4, 2, 2, 3, 0, 1, 2, 0, 0, 0, 3, 3, 2, 2, 3, 4, 0, 1, 1, 3, 4, 2, 2, 3, 1, 0, 3, 1, 1, 2, 2, 0, 4, 4, 2, 3, 3, 2, 4, 0, 1, 0, 1, 4, 0, 2, 4, 2, 1, 1, 4, 2, 2, 1, 0, 4, 2, 2, 0, 3, 4, 2, 3, 1, 2, 0, 3, 4, 4, 3, 4, 1, 2, 4, 1, 3, 0, 1, 4, 3, 1, 2, 4, 4, 1, 3, 3, 3, 3, 3, 4, 1, 1, 3, 2, 0, 0, 0, 3, 3, 2, 3, 4, 3, 1, 3, 1, 1, 4, 0, 1, 3, 2, 4, 4, 4, 1, 4, 4, 4, 3, 4, 0, 4, 4, 0, 4, 2, 3, 4, 1, 2, 0, 1, 4, 1, 0, 0, 4, 2, 4, 3, 2, 2, 0, 1, 2, 4, 2, 0, 2, 0, 3, 2, 0, 1, 1, 4, 3, 0, 0, 0, 0, 1, 3, 3, 2, 2, 0, 2, 3, 2, 0, 3, 2, 3, 2, 1, 0, 0, 1, 0, 2, 3, 4, 4, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 3, 1, 0, 2, 3, 1, 3, 1, 0, 4, 0, 3, 0, 0, 0, 0, 3, 1, 2, 3, 0, 2, 4, 4, 2, 2]
pubkeycol1632 = [1, 0, 0, 4, 3, 0, 3, 3, 0, 2, 4, 1, 4, 0, 2, 1, 4, 3, 3, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 3, 1, 0, 0, 4, 1, 3, 0, 4, 3, 2, 2, 0, 3, 2, 1, 0, 1, 4, 3, 0, 3, 3, 3, 0, 3, 2, 0, 3, 4, 3, 1, 0, 4, 3, 0, 1, 4, 2, 2, 2, 0, 2, 1, 4, 4, 2, 0, 1, 2, 2, 4, 3, 2, 0, 4, 1, 2, 0, 4, 1, 0, 3, 1, 0, 1, 0, 4, 0, 4, 2, 3, 4, 1, 0, 3, 4, 1, 3, 0, 0, 0, 3, 3, 4, 3, 3, 3, 1, 0, 4, 1, 3, 4, 0, 2, 3, 1, 2, 1, 2, 3, 1, 0, 1, 4, 2, 4, 3, 4, 2, 3, 1, 1, 2, 1, 2, 3, 3, 4, 3, 1, 2, 1, 0, 2, 2, 3, 4, 4, 4, 1, 4, 0, 4, 3, 1, 2, 0, 2, 2, 2, 3, 3, 1, 1, 4, 0, 3, 1, 0, 3, 2, 3, 2, 4, 2, 2, 3, 3, 4, 0, 4, 4, 2, 3, 3, 1, 0, 3, 3, 4, 1, 1, 4, 3, 2, 3, 2, 0, 3, 4, 3, 2, 3, 2, 2, 4, 1, 2, 3, 0, 0, 1, 3, 2, 4, 4, 0, 1, 0, 3, 2, 1, 0, 3, 1, 2, 2, 4, 3, 3, 2, 2, 0, 0, 1, 0, 1, 1, 4, 2, 2, 0, 1, 0, 0, 0, 3, 2, 1, 3, 0, 4, 3, 0, 1, 0, 2, 1, 3, 1, 3, 0, 1, 4, 1, 4, 3, 3, 0, 4, 0, 2, 0, 0, 1, 2, 4, 4, 4, 4, 0, 3, 4, 0, 3, 1, 3, 3, 3, 4, 2, 1, 4, 1, 3, 2, 0, 2, 2, 1, 4, 3, 4, 2, 4, 4, 3, 2, 3, 0, 4, 1, 4, 0, 3, 2, 2, 0, 0, 0, 2, 4, 0, 3, 4, 1, 3, 2, 4, 3, 1, 1, 1, 4, 3, 4, 3, 2, 0, 3, 0, 3, 1, 0, 1, 2, 0, 4, 0, 3, 3, 2, 3, 2, 0, 3, 4, 0, 4, 0, 0, 3, 2, 3, 3, 1, 3, 2, 1, 0, 0, 4, 2, 4, 0, 0, 3, 4, 3, 3, 3, 2, 1, 4, 2, 2, 4, 1, 3, 2, 3, 1, 2, 1, 4, 1, 1, 2, 0, 2, 4, 2, 2, 4, 1, 1, 1, 2, 4, 2, 2, 0, 1, 1, 3, 1, 0, 3, 2, 2, 0, 1, 0, 4, 1, 2, 1, 4, 2, 0, 1, 4, 1, 3, 2, 4, 4, 1, 4, 1, 3, 2, 3, 4, 1, 3, 2, 0, 3, 0, 2, 1, 0, 0, 4, 0, 3, 3, 1, 0, 4, 3, 2, 1, 4, 2, 1, 1, 4, 2, 3, 2, 4, 0, 4, 0, 3, 3, 4, 3, 1, 2, 3, 0, 4, 2, 4, 0, 2, 1, 4, 1, 0]
pubkeycol1633 = [2, 4, 4, 2, 2, 2, 0, 0, 3, 0, 3, 0, 2, 3, 1, 3, 3, 2, 0, 2, 1, 4, 3, 3, 0, 3, 0, 3, 3, 4, 1, 2, 4, 4, 1, 0, 1, 1, 3, 4, 1, 3, 3, 1, 2, 4, 3, 3, 1, 1, 4, 4, 2, 3, 0, 3, 4, 4, 0, 4, 3, 3, 0, 3, 1, 2, 2, 1, 3, 2, 4, 2, 4, 1, 1, 4, 0, 2, 0, 2, 2, 4, 2, 4, 2, 3, 0, 1, 0, 0, 0, 0, 1, 4, 2, 0, 2, 3, 4, 2, 1, 4, 4, 2, 4, 1, 3, 4, 4, 4, 3, 1, 4, 2, 0, 1, 1, 3, 0, 4, 1, 2, 4, 3, 0, 2, 3, 4, 0, 1, 1, 3, 3, 0, 0, 2, 3, 0, 2, 1, 2, 2, 4, 3, 2, 4, 3, 2, 3, 4, 1, 4, 3, 3, 0, 1, 1, 4, 0, 0, 0, 1, 0, 3, 4, 3, 2, 1, 0, 4, 4, 4, 2, 4, 0, 1, 4, 2, 3, 1, 2, 2, 3, 0, 2, 3, 2, 1, 1, 3, 4, 4, 4, 3, 3, 3, 0, 3, 3, 2, 2, 0, 2, 2, 4, 2, 0, 3, 4, 1, 3, 0, 2, 4, 4, 3, 1, 0, 2, 1, 4, 3, 1, 1, 3, 0, 2, 2, 1, 3, 3, 1, 3, 1, 4, 2, 4, 0, 2, 4, 2, 4, 0, 1, 3, 0, 2, 0, 1, 3, 2, 0, 0, 1, 2, 2, 0, 2, 3, 1, 4, 1, 4, 3, 1, 3, 3, 2, 2, 1, 3, 3, 3, 2, 1, 1, 4, 0, 0, 0, 0, 1, 2, 4, 2, 0, 0, 1, 4, 0, 2, 0, 3, 1, 1, 1, 3, 3, 2, 3, 2, 3, 2, 1, 1, 0, 3, 0, 1, 4, 1, 0, 2, 4, 4, 1, 4, 2, 3, 0, 1, 2, 1, 2, 1, 1, 4, 2, 4, 4, 4, 4, 1, 3, 2, 2, 0, 3, 2, 1, 3, 2, 3, 1, 1, 1, 1, 2, 0, 3, 4, 0, 2, 2, 3, 1, 1, 4, 4, 1, 2, 1, 4, 4, 3, 0, 1, 3, 4, 1, 3, 4, 1, 1, 4, 1, 0, 1, 4, 0, 1, 1, 4, 2, 0, 0, 3, 4, 3, 2, 0, 3, 2, 0, 4, 1, 1, 0, 0, 4, 0, 1, 0, 2, 4, 2, 3, 1, 3, 3, 3, 3, 4, 0, 0, 3, 4, 4, 3, 2, 0, 1, 2, 3, 1, 4, 0, 0, 4, 4, 0, 2, 4, 1, 4, 4, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 4, 4, 3, 1, 2, 0, 0, 2, 0, 1, 3, 2, 1, 3, 3, 2, 2, 1, 4, 1, 0, 4, 2, 2, 4, 0, 2, 2, 1, 4, 4, 3, 0, 3, 1, 1, 1, 2, 3, 1, 2, 3, 3, 3, 2, 2, 3, 0, 3, 4, 2, 2, 4, 1, 1, 2, 3, 2, 3]
pubkeycol1634 = [0, 0, 3, 0, 1, 2, 2, 1, 2, 3, 4, 2, 3, 2, 1, 3, 2, 4, 0, 0, 0, 1, 3, 3, 1, 3, 2, 3, 1, 4, 2, 3, 3, 4, 4, 0, 0, 1, 1, 1, 0, 2, 1, 3, 4, 4, 0, 4, 0, 0, 1, 0, 1, 2, 0, 0, 1, 3, 4, 2, 1, 3, 4, 4, 1, 1, 4, 4, 2, 4, 4, 4, 0, 0, 1, 1, 1, 2, 2, 1, 1, 4, 3, 3, 4, 4, 0, 1, 4, 3, 4, 0, 0, 1, 4, 2, 2, 4, 1, 4, 4, 2, 3, 4, 0, 1, 0, 2, 2, 4, 4, 0, 4, 0, 1, 0, 1, 1, 1, 4, 2, 4, 3, 4, 3, 4, 2, 3, 4, 4, 3, 3, 4, 4, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 4, 3, 0, 0, 2, 1, 0, 4, 3, 3, 4, 1, 0, 4, 0, 4, 0, 1, 1, 0, 4, 2, 2, 2, 4, 4, 0, 0, 4, 3, 2, 0, 1, 3, 2, 3, 2, 2, 4, 2, 3, 1, 0, 3, 0, 3, 1, 4, 2, 2, 2, 4, 0, 2, 0, 0, 2, 3, 3, 1, 1, 3, 3, 4, 3, 3, 1, 4, 4, 1, 2, 1, 4, 0, 0, 0, 4, 1, 2, 4, 3, 3, 2, 3, 4, 4, 1, 0, 1, 0, 4, 4, 3, 0, 4, 4, 0, 2, 1, 3, 0, 2, 3, 4, 2, 4, 2, 2, 4, 1, 3, 0, 4, 0, 3, 4, 3, 2, 4, 3, 2, 3, 4, 2, 1, 0, 2, 3, 4, 1, 3, 0, 2, 4, 0, 0, 3, 1, 2, 4, 2, 3, 1, 2, 1, 1, 2, 3, 4, 4, 1, 1, 4, 3, 1, 1, 3, 3, 2, 2, 4, 2, 3, 0, 4, 2, 1, 4, 1, 0, 2, 2, 0, 3, 0, 4, 2, 0, 3, 1, 1, 2, 1, 0, 4, 1, 0, 0, 2, 0, 4, 0, 2, 2, 3, 4, 2, 4, 1, 4, 4, 3, 0, 2, 1, 4, 3, 3, 1, 4, 2, 4, 4, 3, 2, 0, 3, 3, 3, 2, 3, 2, 4, 3, 3, 1, 0, 4, 2, 4, 2, 2, 3, 4, 3, 1, 4, 0, 3, 3, 1, 1, 2, 1, 0, 1, 2, 3, 1, 0, 1, 0, 2, 3, 1, 2, 4, 2, 1, 4, 4, 0, 1, 3, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 4, 2, 2, 4, 1, 3, 4, 4, 1, 3, 0, 4, 2, 4, 3, 0, 4, 3, 3, 2, 3, 2, 0, 1, 2, 0, 0, 3, 2, 1, 4, 1, 3, 2, 3, 2, 0, 4, 4, 3, 1, 2, 0, 4, 1, 4, 1, 1, 2, 4, 3, 0, 0, 3, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 4, 0, 2, 2, 3, 3, 3, 1, 1, 4, 3, 0, 4, 2, 2, 4, 4, 2, 0, 0]
pubkeycol1635 = [3, 2, 3, 0, 1, 0, 2, 0, 0, 4, 4, 3, 4, 0, 1, 4, 4, 0, 2, 1, 4, 4, 2, 2, 1, 4, 2, 3, 2, 0, 1, 1, 0, 1, 4, 4, 1, 3, 0, 2, 2, 0, 3, 0, 3, 1, 3, 4, 1, 3, 1, 2, 3, 2, 4, 3, 3, 4, 2, 4, 0, 1, 2, 1, 2, 4, 4, 3, 3, 3, 3, 3, 3, 1, 3, 0, 4, 4, 1, 2, 3, 1, 4, 1, 3, 2, 4, 4, 0, 2, 4, 4, 1, 4, 1, 0, 0, 1, 0, 3, 0, 4, 3, 4, 3, 3, 3, 1, 2, 4, 2, 4, 1, 2, 2, 4, 1, 3, 0, 1, 1, 1, 1, 2, 4, 1, 3, 2, 2, 0, 0, 3, 1, 3, 4, 4, 2, 4, 2, 1, 2, 3, 0, 1, 1, 1, 3, 2, 0, 4, 4, 0, 0, 4, 0, 4, 3, 4, 3, 4, 3, 4, 1, 0, 4, 4, 4, 4, 3, 0, 1, 3, 0, 1, 0, 3, 0, 2, 2, 2, 0, 1, 4, 2, 1, 0, 2, 0, 2, 4, 3, 4, 4, 4, 3, 0, 3, 2, 3, 2, 2, 2, 0, 3, 0, 3, 3, 4, 4, 0, 3, 0, 0, 1, 2, 2, 2, 4, 3, 4, 2, 3, 0, 0, 2, 3, 1, 2, 0, 0, 4, 2, 4, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 4, 2, 3, 0, 0, 3, 4, 3, 1, 1, 0, 3, 0, 4, 0, 1, 1, 2, 1, 3, 1, 4, 4, 2, 2, 2, 4, 0, 1, 4, 1, 1, 4, 2, 2, 2, 3, 4, 1, 4, 2, 3, 2, 2, 4, 4, 1, 4, 4, 3, 3, 2, 4, 4, 2, 0, 4, 2, 2, 3, 2, 3, 4, 0, 4, 0, 3, 1, 0, 1, 0, 0, 0, 2, 2, 3, 3, 2, 2, 2, 1, 3, 2, 0, 4, 2, 1, 2, 4, 0, 3, 2, 2, 2, 1, 4, 1, 3, 1, 1, 4, 3, 4, 4, 3, 0, 2, 3, 4, 1, 2, 1, 3, 1, 0, 3, 4, 0, 1, 3, 3, 0, 4, 0, 4, 3, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 4, 0, 0, 2, 4, 2, 0, 4, 3, 4, 3, 1, 4, 4, 2, 2, 3, 3, 1, 4, 2, 1, 4, 3, 3, 4, 4, 0, 2, 0, 2, 0, 2, 0, 3, 1, 2, 4, 3, 2, 3, 2, 4, 1, 2, 4, 0, 4, 1, 1, 4, 0, 1, 4, 0, 1, 2, 3, 3, 3, 1, 2, 2, 0, 2, 2, 4, 2, 3, 3, 4, 0, 0, 2, 4, 3, 3, 0, 0, 4, 2, 2, 2, 2, 0, 2, 0, 3, 3, 3, 0, 2, 2, 0, 0, 0, 3, 1, 0, 1, 3, 1, 4, 2, 3, 2, 4, 0, 1, 1, 0, 2, 4, 2, 1, 2, 3]
pubkeycol1636 = [2, 4, 2, 0, 0, 0, 4, 0, 3, 0, 2, 1, 3, 4, 1, 3, 2, 0, 1, 3, 3, 3, 2, 0, 0, 0, 4, 3, 0, 2, 1, 4, 4, 2, 0, 4, 2, 1, 4, 3, 1, 1, 1, 4, 1, 0, 4, 0, 2, 4, 0, 4, 1, 2, 1, 1, 3, 1, 0, 1, 1, 2, 0, 0, 0, 1, 3, 1, 4, 4, 3, 3, 0, 1, 4, 2, 4, 1, 3, 1, 2, 3, 4, 2, 1, 4, 4, 4, 4, 3, 1, 1, 3, 4, 3, 1, 0, 2, 0, 3, 0, 1, 4, 3, 2, 2, 3, 4, 3, 4, 4, 3, 3, 1, 1, 3, 0, 2, 1, 1, 1, 3, 0, 2, 1, 4, 2, 2, 4, 2, 2, 0, 0, 1, 4, 3, 2, 4, 2, 2, 0, 2, 4, 1, 2, 2, 0, 0, 4, 4, 3, 0, 2, 0, 3, 2, 1, 4, 0, 2, 1, 1, 3, 2, 3, 1, 4, 4, 2, 0, 4, 1, 2, 1, 0, 3, 1, 2, 1, 1, 0, 1, 1, 3, 1, 2, 4, 3, 2, 2, 3, 1, 4, 3, 2, 4, 4, 2, 1, 2, 4, 1, 2, 2, 4, 3, 4, 3, 0, 1, 2, 0, 4, 3, 2, 2, 2, 1, 3, 3, 1, 0, 0, 1, 3, 0, 3, 0, 1, 3, 3, 0, 0, 4, 4, 1, 0, 2, 4, 2, 0, 0, 1, 3, 3, 4, 2, 2, 4, 2, 0, 1, 2, 0, 2, 0, 4, 4, 2, 4, 3, 4, 1, 2, 2, 3, 0, 1, 4, 3, 2, 0, 2, 0, 0, 4, 4, 4, 0, 1, 0, 1, 3, 4, 1, 2, 3, 2, 3, 4, 4, 2, 3, 3, 2, 1, 1, 0, 4, 0, 0, 2, 2, 3, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 4, 2, 3, 3, 4, 1, 1, 3, 4, 0, 2, 0, 4, 4, 0, 2, 1, 2, 1, 2, 3, 1, 1, 1, 2, 0, 4, 1, 1, 2, 0, 2, 4, 0, 3, 0, 1, 4, 1, 3, 4, 0, 0, 3, 3, 3, 1, 4, 1, 1, 1, 2, 4, 3, 3, 4, 2, 1, 3, 1, 0, 0, 2, 1, 1, 3, 4, 4, 4, 0, 2, 3, 1, 4, 1, 1, 4, 0, 3, 4, 2, 0, 2, 2, 3, 1, 4, 4, 2, 2, 4, 1, 1, 4, 4, 2, 4, 3, 0, 3, 3, 1, 0, 2, 4, 2, 2, 2, 3, 1, 4, 0, 4, 0, 3, 4, 2, 1, 2, 2, 4, 0, 3, 1, 4, 0, 3, 4, 0, 3, 0, 3, 1, 1, 0, 1, 3, 1, 0, 0, 2, 2, 4, 0, 3, 2, 4, 1, 3, 3, 4, 2, 4, 4, 1, 3, 4, 3, 4, 1, 2, 0, 0, 1, 0, 3, 0, 1, 4, 1, 2, 3, 3, 4, 0, 1, 3, 2, 1, 2, 3, 2, 3, 2, 3, 0, 4, 1, 2, 2]
pubkeycol1637 = [3, 0, 4, 3, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 3, 1, 1, 4, 0, 1, 2, 4, 2, 2, 0, 1, 1, 1, 3, 2, 3, 4, 3, 4, 0, 3, 4, 0, 2, 1, 3, 3, 0, 2, 1, 2, 4, 0, 3, 1, 2, 0, 0, 1, 0, 0, 0, 0, 4, 4, 1, 2, 3, 4, 2, 0, 3, 3, 0, 0, 3, 2, 3, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 4, 0, 1, 3, 0, 3, 4, 4, 1, 3, 2, 3, 0, 4, 3, 1, 3, 1, 2, 2, 0, 0, 2, 3, 4, 0, 3, 4, 4, 1, 0, 0, 0, 2, 4, 3, 1, 1, 0, 0, 0, 1, 1, 0, 1, 3, 4, 1, 2, 2, 4, 2, 0, 3, 2, 3, 4, 2, 0, 4, 2, 0, 1, 3, 3, 3, 2, 0, 0, 4, 0, 1, 1, 0, 3, 2, 2, 2, 2, 2, 3, 3, 4, 3, 4, 2, 2, 0, 1, 0, 0, 0, 1, 4, 2, 4, 3, 1, 3, 0, 2, 1, 3, 3, 3, 3, 0, 1, 1, 0, 4, 3, 1, 1, 1, 2, 4, 3, 3, 3, 1, 3, 1, 3, 2, 1, 0, 1, 2, 2, 1, 2, 4, 3, 1, 1, 0, 3, 4, 3, 0, 3, 4, 4, 0, 0, 4, 3, 4, 0, 0, 2, 0, 0, 1, 3, 1, 1, 2, 4, 3, 0, 4, 0, 1, 4, 1, 1, 4, 4, 4, 4, 4, 1, 1, 4, 0, 3, 3, 4, 0, 3, 4, 0, 4, 2, 4, 2, 4, 2, 1, 3, 4, 4, 2, 1, 0, 2, 4, 1, 4, 2, 1, 1, 3, 1, 0, 4, 2, 3, 0, 4, 3, 1, 2, 1, 4, 0, 0, 1, 2, 2, 4, 1, 0, 2, 4, 3, 1, 3, 0, 2, 2, 1, 2, 4, 1, 2, 2, 4, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 4, 2, 1, 0, 3, 4, 3, 2, 0, 1, 0, 3, 1, 4, 0, 4, 2, 3, 1, 1, 3, 4, 0, 3, 3, 3, 4, 3, 0, 2, 4, 1, 3, 1, 4, 0, 1, 3, 4, 2, 4, 0, 1, 3, 4, 1, 0, 2, 3, 0, 1, 2, 2, 3, 2, 0, 0, 4, 4, 1, 0, 2, 1, 1, 3, 3, 3, 3, 2, 1, 0, 2, 3, 0, 3, 0, 2, 2, 2, 0, 2, 4, 0, 4, 4, 0, 1, 0, 3, 2, 0, 1, 3, 3, 0, 0, 0, 3, 3, 1, 4, 3, 4, 3, 1, 0, 2, 2, 2, 2, 0, 1, 3, 0, 2, 2, 0, 3, 4, 1, 1, 0, 2, 2, 2, 1, 3, 0, 4, 1, 0, 2, 3, 1, 2, 0, 2, 0, 4, 1, 2, 3, 4, 4, 0, 3, 4, 4, 4, 2, 2, 1, 4, 0, 0, 2, 3, 4, 3, 0, 3, 3, 1, 4, 2, 3, 1]
pubkeycol1638 = [2, 4, 3, 1, 4, 1, 1, 1, 1, 2, 2, 2, 4, 3, 0, 0, 0, 0, 4, 1, 2, 2, 0, 4, 0, 2, 1, 3, 1, 2, 4, 3, 0, 4, 4, 3, 0, 3, 1, 0, 2, 0, 0, 2, 1, 3, 4, 1, 2, 4, 1, 4, 1, 4, 1, 4, 0, 1, 4, 2, 2, 1, 4, 3, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 3, 2, 3, 2, 4, 2, 4, 1, 1, 4, 0, 2, 1, 3, 0, 0, 0, 4, 0, 0, 3, 3, 3, 0, 0, 4, 1, 3, 3, 2, 3, 2, 4, 3, 3, 0, 3, 2, 2, 4, 1, 2, 0, 1, 4, 0, 2, 3, 0, 3, 1, 0, 3, 4, 1, 2, 3, 4, 1, 2, 0, 2, 3, 1, 3, 1, 1, 2, 0, 1, 0, 1, 3, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 3, 3, 0, 1, 2, 0, 4, 2, 3, 4, 1, 4, 0, 4, 0, 0, 4, 4, 4, 2, 2, 2, 4, 1, 3, 3, 3, 2, 4, 2, 4, 1, 2, 1, 2, 2, 3, 2, 3, 4, 2, 2, 4, 3, 3, 2, 2, 1, 2, 2, 1, 4, 3, 4, 2, 0, 3, 0, 2, 0, 3, 4, 1, 0, 1, 4, 0, 0, 1, 3, 4, 2, 2, 0, 3, 3, 1, 2, 2, 0, 3, 3, 1, 2, 3, 2, 4, 2, 3, 3, 3, 0, 4, 0, 0, 3, 4, 1, 4, 1, 0, 4, 0, 2, 3, 3, 1, 2, 2, 0, 2, 3, 0, 3, 4, 0, 3, 0, 4, 4, 1, 3, 4, 3, 1, 1, 3, 0, 0, 0, 2, 2, 2, 1, 2, 2, 3, 3, 1, 2, 4, 3, 1, 1, 3, 0, 1, 2, 2, 4, 1, 0, 4, 0, 3, 4, 3, 4, 4, 4, 1, 1, 1, 4, 2, 4, 2, 4, 2, 4, 1, 4, 3, 2, 0, 2, 3, 3, 0, 1, 4, 1, 3, 4, 3, 0, 3, 3, 0, 4, 4, 1, 1, 4, 1, 1, 3, 3, 2, 3, 3, 1, 1, 1, 4, 4, 2, 0, 1, 1, 3, 3, 3, 1, 2, 4, 1, 4, 0, 2, 1, 3, 4, 1, 1, 3, 2, 0, 0, 1, 3, 2, 4, 1, 3, 3, 4, 4, 0, 3, 0, 3, 0, 1, 2, 0, 1, 2, 1, 1, 4, 0, 4, 1, 3, 3, 2, 1, 2, 1, 4, 1, 2, 3, 1, 1, 3, 3, 4, 4, 4, 1, 2, 0, 3, 3, 2, 1, 0, 1, 2, 3, 3, 1, 3, 4, 3, 1, 2, 1, 3, 2, 0, 0, 2, 3, 2, 0, 4, 3, 1, 2, 0, 2, 4, 1, 4, 2, 4, 1, 0, 0, 0, 4, 0, 4, 0, 1, 4, 1, 1, 1, 4, 4, 4, 1, 0, 3, 3, 3, 4, 1, 0, 2, 3, 4, 0, 4, 2, 4, 4, 4, 2, 1, 1, 3]
pubkeycol1639 = [3, 1, 0, 4, 2, 0, 2, 2, 0, 0, 0, 0, 2, 4, 2, 1, 4, 4, 1, 2, 0, 1, 3, 2, 3, 0, 2, 4, 1, 0, 3, 4, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 4, 2, 4, 2, 1, 0, 0, 3, 2, 4, 2, 3, 3, 2, 1, 2, 2, 2, 4, 3, 0, 3, 0, 2, 4, 3, 0, 1, 3, 1, 4, 4, 4, 4, 0, 1, 0, 3, 4, 0, 1, 2, 4, 3, 0, 2, 3, 0, 1, 4, 2, 4, 2, 1, 2, 3, 3, 0, 2, 1, 2, 1, 1, 0, 1, 1, 4, 4, 3, 4, 3, 0, 1, 1, 1, 1, 1, 0, 4, 2, 4, 0, 1, 1, 2, 4, 0, 3, 4, 1, 0, 0, 1, 2, 0, 4, 2, 0, 4, 0, 0, 0, 2, 2, 0, 2, 2, 3, 1, 1, 0, 1, 0, 3, 2, 1, 2, 4, 4, 1, 3, 2, 2, 3, 4, 2, 3, 0, 4, 3, 2, 0, 4, 0, 1, 2, 4, 1, 1, 3, 1, 2, 2, 3, 0, 1, 4, 1, 4, 2, 1, 4, 0, 0, 1, 4, 2, 4, 0, 1, 0, 4, 2, 4, 3, 0, 4, 4, 1, 3, 2, 4, 4, 4, 0, 2, 0, 4, 2, 4, 0, 3, 3, 3, 2, 1, 0, 3, 2, 3, 1, 1, 0, 1, 4, 3, 1, 4, 4, 0, 0, 3, 3, 3, 2, 3, 4, 3, 0, 3, 0, 1, 4, 3, 2, 1, 3, 4, 3, 3, 3, 4, 2, 3, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 3, 2, 1, 0, 4, 3, 2, 4, 2, 2, 2, 0, 4, 0, 0, 0, 2, 2, 0, 3, 1, 3, 4, 2, 3, 3, 3, 4, 1, 1, 3, 2, 2, 0, 0, 1, 0, 1, 2, 4, 2, 3, 0, 0, 3, 0, 4, 0, 2, 3, 2, 4, 1, 2, 2, 1, 3, 0, 2, 1, 1, 3, 0, 3, 2, 2, 2, 3, 3, 4, 2, 4, 2, 4, 1, 4, 3, 3, 0, 4, 3, 3, 4, 3, 0, 3, 0, 3, 4, 0, 3, 2, 0, 3, 1, 3, 2, 4, 4, 1, 2, 0, 2, 3, 2, 4, 1, 0, 3, 4, 1, 3, 2, 3, 3, 3, 2, 0, 2, 2, 2, 2, 3, 4, 0, 3, 3, 3, 4, 3, 4, 2, 4, 4, 1, 3, 0, 4, 0, 2, 2, 3, 2, 2, 1, 4, 2, 0, 2, 3, 3, 0, 0, 3, 4, 0, 0, 3, 3, 0, 1, 1, 3, 4, 0, 4, 4, 2, 2, 3, 4, 3, 4, 1, 0, 2, 3, 4, 2, 4, 3, 0, 2, 0, 1, 2, 4, 2, 4, 3, 0, 1, 3, 4, 4, 1, 1, 1, 3, 2, 2, 2, 4, 1, 4, 3, 0, 0, 4, 3, 1, 4, 1, 0, 1, 2, 3, 3, 0, 3, 2, 2, 2, 3, 2, 1, 3]
pubkeycol1640 = [1, 3, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 3, 0, 2, 4, 0, 1, 4, 3, 3, 0, 1, 0, 3, 3, 4, 3, 2, 4, 3, 4, 3, 4, 2, 3, 3, 3, 3, 2, 4, 4, 4, 3, 4, 2, 4, 0, 0, 1, 4, 4, 3, 1, 0, 3, 3, 3, 1, 0, 4, 0, 1, 4, 4, 4, 2, 2, 4, 1, 4, 1, 3, 0, 3, 1, 4, 0, 1, 0, 4, 3, 0, 1, 3, 2, 0, 4, 0, 0, 2, 2, 4, 4, 2, 2, 4, 1, 1, 0, 1, 1, 2, 4, 1, 3, 1, 3, 0, 1, 3, 1, 4, 3, 3, 3, 1, 1, 2, 2, 3, 4, 3, 1, 3, 4, 4, 2, 3, 2, 2, 0, 3, 0, 1, 2, 4, 0, 3, 2, 3, 2, 1, 2, 3, 4, 4, 2, 3, 0, 1, 3, 4, 1, 0, 1, 2, 1, 1, 0, 2, 4, 4, 4, 2, 0, 0, 3, 3, 2, 0, 2, 0, 0, 0, 0, 3, 2, 2, 2, 0, 2, 4, 2, 0, 1, 1, 3, 2, 2, 3, 3, 1, 3, 0, 2, 3, 3, 1, 1, 4, 1, 3, 1, 1, 0, 2, 4, 3, 0, 1, 4, 1, 3, 3, 4, 4, 2, 2, 1, 0, 3, 4, 2, 4, 3, 0, 0, 0, 3, 1, 2, 2, 2, 2, 3, 4, 2, 0, 0, 3, 1, 1, 0, 2, 3, 3, 1, 1, 1, 4, 1, 4, 4, 1, 4, 1, 1, 4, 1, 1, 2, 1, 0, 1, 3, 2, 2, 4, 1, 4, 2, 1, 4, 3, 0, 0, 3, 3, 3, 0, 0, 4, 2, 0, 2, 2, 3, 4, 1, 4, 3, 3, 4, 2, 1, 4, 2, 1, 2, 0, 3, 1, 4, 1, 2, 2, 4, 1, 0, 0, 4, 3, 2, 2, 1, 1, 2, 3, 4, 0, 2, 3, 0, 1, 0, 2, 0, 1, 3, 3, 0, 3, 0, 0, 1, 0, 1, 1, 4, 1, 3, 1, 4, 2, 0, 4, 3, 0, 1, 4, 1, 4, 4, 3, 0, 0, 2, 0, 3, 0, 4, 1, 0, 2, 2, 3, 3, 2, 2, 0, 3, 2, 3, 3, 2, 3, 3, 3, 1, 0, 4, 4, 0, 0, 2, 2, 3, 4, 2, 2, 2, 1, 4, 2, 3, 3, 3, 4, 2, 1, 3, 4, 0, 4, 0, 0, 3, 3, 2, 2, 3, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 4, 1, 2, 4, 1, 2, 3, 1, 2, 2, 0, 3, 3, 4, 3, 2, 3, 1, 0, 4, 2, 4, 3, 2, 4, 4, 2, 3, 0, 3, 2, 3, 4, 1, 4, 0, 1, 1, 3, 3, 1, 3, 2, 4, 3, 1, 0, 2, 0, 0, 4, 3, 0, 1, 0, 4, 1, 0, 3, 2, 1, 0, 1, 1, 4, 0, 0, 3, 2, 4, 1, 0, 3, 3, 3, 3, 4, 3, 0, 0, 4, 2]
pubkeycol1641 = [1, 3, 3, 1, 0, 2, 4, 1, 4, 4, 3, 4, 3, 4, 1, 3, 0, 3, 3, 3, 1, 0, 1, 3, 3, 2, 2, 3, 0, 2, 2, 4, 2, 4, 3, 0, 2, 1, 2, 3, 1, 3, 3, 1, 1, 3, 1, 1, 3, 0, 1, 0, 3, 0, 2, 2, 0, 4, 4, 4, 2, 3, 0, 0, 0, 4, 1, 2, 1, 1, 2, 2, 2, 1, 3, 2, 1, 3, 0, 0, 3, 1, 3, 1, 1, 1, 4, 3, 3, 2, 3, 1, 0, 4, 0, 2, 1, 2, 3, 0, 3, 4, 3, 0, 1, 2, 2, 0, 4, 4, 4, 3, 4, 1, 1, 4, 2, 3, 4, 4, 3, 3, 0, 0, 4, 4, 3, 3, 2, 1, 3, 0, 1, 0, 4, 1, 1, 0, 2, 2, 0, 4, 3, 2, 4, 3, 4, 4, 3, 4, 0, 1, 0, 4, 1, 3, 2, 2, 1, 0, 0, 3, 4, 2, 4, 2, 2, 4, 4, 2, 4, 2, 2, 4, 0, 2, 3, 1, 2, 3, 0, 4, 4, 4, 4, 1, 1, 3, 0, 3, 0, 0, 3, 2, 4, 1, 2, 1, 1, 2, 3, 0, 1, 1, 0, 4, 0, 3, 3, 2, 0, 0, 3, 4, 3, 0, 2, 0, 4, 4, 3, 4, 1, 1, 3, 3, 4, 0, 4, 3, 0, 1, 3, 0, 3, 3, 3, 0, 4, 1, 0, 0, 4, 4, 3, 2, 3, 4, 0, 0, 3, 2, 0, 0, 1, 2, 1, 1, 0, 1, 3, 0, 4, 3, 3, 2, 1, 3, 2, 3, 4, 3, 4, 0, 2, 1, 2, 0, 1, 4, 1, 0, 3, 0, 2, 3, 1, 3, 0, 1, 0, 2, 2, 4, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 4, 3, 4, 3, 0, 1, 4, 1, 4, 4, 2, 3, 3, 0, 4, 2, 4, 4, 1, 4, 3, 0, 0, 3, 3, 0, 1, 2, 0, 3, 2, 1, 2, 3, 0, 1, 2, 3, 1, 3, 3, 4, 0, 4, 2, 3, 3, 2, 4, 4, 3, 2, 0, 3, 1, 2, 1, 3, 3, 3, 1, 0, 2, 2, 4, 3, 1, 0, 3, 0, 2, 1, 2, 1, 3, 4, 0, 4, 2, 4, 2, 1, 3, 1, 2, 4, 0, 2, 2, 4, 3, 1, 2, 2, 3, 0, 0, 0, 1, 3, 3, 4, 0, 3, 2, 4, 1, 2, 2, 4, 3, 2, 0, 2, 0, 4, 3, 1, 3, 2, 1, 3, 0, 1, 0, 0, 4, 0, 3, 2, 0, 3, 4, 2, 3, 3, 0, 4, 2, 0, 0, 4, 3, 0, 3, 1, 4, 1, 0, 2, 0, 4, 1, 3, 4, 1, 0, 3, 2, 3, 1, 4, 2, 3, 0, 0, 1, 0, 4, 2, 0, 3, 2, 4, 1, 3, 4, 0, 3, 0, 4, 1, 3, 0, 4, 4, 2, 2, 3, 0, 0, 2, 4, 2, 3, 2, 3, 0, 0, 2, 3]
pubkeycol1642 = [0, 2, 3, 3, 0, 1, 3, 1, 2, 3, 4, 3, 4, 0, 1, 4, 3, 4, 2, 3, 0, 1, 2, 4, 1, 2, 2, 2, 0, 0, 2, 3, 1, 2, 2, 0, 2, 3, 2, 1, 2, 1, 3, 2, 0, 1, 2, 3, 3, 4, 1, 3, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 3, 4, 2, 3, 1, 0, 1, 0, 0, 2, 2, 0, 1, 3, 2, 3, 3, 3, 3, 1, 2, 4, 2, 1, 0, 0, 3, 1, 3, 1, 1, 3, 1, 2, 2, 2, 2, 4, 1, 3, 2, 2, 2, 2, 0, 0, 4, 1, 3, 0, 4, 2, 2, 3, 1, 2, 4, 0, 0, 4, 2, 1, 3, 2, 2, 4, 3, 4, 4, 0, 1, 2, 1, 1, 0, 2, 4, 0, 4, 3, 2, 3, 3, 0, 1, 2, 2, 0, 0, 4, 4, 0, 2, 0, 4, 2, 0, 0, 4, 4, 2, 0, 4, 3, 0, 2, 0, 0, 4, 0, 0, 1, 0, 0, 4, 0, 3, 3, 4, 4, 3, 0, 2, 0, 3, 2, 1, 2, 4, 2, 1, 4, 2, 4, 4, 3, 2, 0, 2, 0, 0, 4, 0, 4, 1, 3, 3, 3, 0, 4, 4, 1, 4, 3, 0, 1, 0, 4, 4, 2, 1, 1, 4, 3, 3, 0, 4, 1, 1, 2, 3, 2, 3, 2, 3, 1, 1, 4, 3, 2, 0, 2, 0, 3, 0, 1, 3, 3, 2, 1, 4, 0, 1, 0, 4, 2, 4, 0, 4, 0, 0, 2, 1, 4, 4, 4, 4, 3, 3, 3, 1, 2, 0, 3, 3, 1, 3, 4, 4, 4, 3, 0, 0, 3, 0, 2, 3, 4, 1, 2, 4, 0, 1, 4, 1, 3, 0, 1, 0, 3, 0, 1, 1, 1, 3, 0, 1, 2, 4, 2, 1, 4, 0, 3, 1, 2, 1, 3, 2, 2, 4, 0, 3, 3, 2, 3, 2, 2, 2, 3, 3, 3, 0, 2, 4, 2, 3, 1, 1, 2, 2, 3, 4, 3, 2, 4, 0, 4, 0, 0, 3, 2, 3, 3, 2, 1, 2, 4, 1, 4, 2, 0, 0, 1, 2, 4, 0, 3, 4, 2, 2, 2, 3, 3, 3, 4, 3, 3, 2, 1, 1, 2, 3, 1, 4, 0, 3, 4, 2, 3, 1, 4, 0, 4, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 4, 1, 1, 0, 1, 0, 1, 4, 4, 0, 0, 1, 3, 3, 1, 1, 0, 0, 0, 1, 3, 3, 2, 4, 1, 0, 1, 2, 2, 1, 0, 1, 0, 3, 4, 1, 0, 2, 0, 4, 1, 3, 2, 1, 1, 0, 1, 2, 0, 1, 4, 2, 4, 1, 0, 3, 0, 1, 4, 4, 3, 1, 1, 1, 3, 4, 4, 2, 0, 3, 0, 4, 2, 0, 1, 3, 0, 0, 1, 4, 3, 1, 2, 0, 4, 2, 1, 3, 2, 2, 3, 4, 1, 0, 1]
pubkeycol1643 = [3, 1, 1, 4, 1, 3, 0, 1, 4, 3, 2, 0, 1, 4, 3, 4, 2, 2, 3, 3, 0, 2, 0, 3, 0, 0, 3, 2, 0, 2, 0, 2, 0, 3, 4, 3, 3, 4, 3, 1, 1, 1, 4, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 3, 0, 4, 3, 2, 0, 4, 3, 3, 2, 2, 2, 0, 1, 4, 3, 4, 3, 2, 4, 4, 2, 1, 1, 3, 2, 0, 3, 2, 1, 1, 4, 4, 2, 2, 0, 2, 0, 4, 1, 3, 1, 3, 0, 2, 1, 1, 1, 0, 1, 2, 3, 0, 2, 0, 4, 4, 2, 1, 3, 0, 3, 0, 1, 0, 0, 1, 0, 3, 4, 1, 2, 2, 2, 1, 4, 2, 0, 3, 0, 3, 3, 3, 4, 2, 1, 4, 1, 1, 4, 3, 2, 0, 1, 1, 4, 4, 3, 4, 3, 1, 1, 1, 1, 0, 4, 4, 1, 2, 0, 0, 4, 3, 3, 2, 2, 0, 0, 4, 1, 0, 0, 0, 4, 4, 1, 1, 2, 1, 4, 3, 3, 1, 0, 1, 1, 0, 4, 0, 3, 2, 0, 3, 1, 1, 1, 0, 2, 2, 0, 3, 1, 3, 1, 4, 1, 1, 1, 2, 3, 1, 4, 1, 3, 0, 1, 3, 4, 0, 2, 1, 0, 1, 2, 3, 4, 4, 3, 2, 0, 0, 0, 4, 1, 1, 3, 3, 2, 0, 2, 3, 1, 4, 0, 4, 1, 1, 1, 3, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 3, 0, 3, 4, 2, 4, 4, 2, 0, 3, 3, 2, 0, 1, 4, 3, 0, 2, 4, 4, 4, 1, 4, 1, 4, 1, 4, 1, 0, 3, 2, 1, 1, 3, 2, 3, 4, 4, 2, 1, 4, 2, 1, 4, 0, 1, 0, 3, 2, 3, 0, 4, 0, 0, 4, 3, 1, 1, 0, 3, 4, 4, 3, 0, 4, 1, 4, 4, 2, 2, 3, 4, 2, 4, 3, 0, 3, 3, 0, 1, 3, 2, 0, 2, 2, 0, 4, 3, 1, 3, 3, 4, 3, 1, 2, 4, 4, 2, 2, 0, 4, 4, 3, 1, 1, 2, 3, 3, 0, 2, 4, 3, 3, 4, 4, 2, 2, 4, 2, 3, 3, 4, 4, 0, 0, 4, 3, 3, 1, 0, 1, 2, 4, 3, 2, 4, 1, 3, 2, 1, 0, 4, 0, 0, 3, 0, 2, 3, 3, 2, 2, 0, 3, 3, 4, 0, 0, 1, 3, 3, 2, 4, 2, 1, 4, 2, 1, 0, 0, 3, 0, 3, 4, 4, 3, 2, 2, 0, 0, 2, 1, 2, 3, 2, 4, 2, 4, 1, 4, 4, 1, 0, 2, 1, 2, 1, 3, 4, 0, 3, 0, 3, 3, 2, 1, 0, 3, 0, 2, 0, 2, 2, 2, 4, 0, 0, 1, 3, 1, 1, 1, 4, 4, 2, 4, 1, 3, 4, 0, 1, 2, 1, 3, 1, 2, 4, 2, 2, 0, 4, 4, 2]
pubkeycol1644 = [1, 0, 4, 3, 3, 4, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 3, 4, 0, 0, 2, 4, 4, 0, 0, 1, 2, 4, 1, 0, 3, 4, 0, 1, 2, 0, 4, 4, 4, 2, 0, 0, 3, 4, 2, 0, 1, 2, 4, 1, 3, 3, 3, 4, 1, 0, 1, 2, 0, 3, 4, 3, 3, 3, 2, 4, 4, 0, 3, 4, 4, 1, 3, 1, 2, 1, 2, 3, 4, 0, 0, 3, 3, 1, 0, 4, 1, 4, 4, 2, 0, 2, 0, 3, 3, 4, 3, 2, 2, 4, 4, 3, 0, 0, 1, 4, 2, 4, 0, 3, 3, 4, 0, 1, 3, 1, 4, 0, 2, 1, 3, 4, 2, 3, 2, 0, 4, 1, 1, 1, 2, 0, 0, 3, 4, 3, 0, 0, 0, 2, 0, 0, 3, 3, 3, 3, 1, 0, 1, 1, 3, 2, 1, 3, 0, 3, 3, 3, 2, 1, 3, 2, 0, 4, 2, 3, 1, 4, 0, 0, 1, 4, 3, 2, 2, 3, 1, 0, 1, 2, 1, 1, 4, 3, 1, 4, 2, 0, 2, 1, 3, 3, 3, 3, 2, 3, 3, 2, 4, 3, 0, 4, 3, 3, 1, 2, 3, 3, 4, 1, 1, 4, 3, 4, 1, 2, 0, 3, 4, 0, 0, 0, 3, 1, 0, 1, 3, 0, 3, 0, 4, 3, 1, 4, 3, 4, 1, 4, 2, 0, 1, 0, 0, 2, 4, 0, 2, 3, 1, 3, 2, 2, 4, 4, 3, 4, 4, 1, 4, 2, 1, 2, 0, 1, 1, 3, 0, 1, 1, 0, 1, 3, 0, 3, 2, 1, 0, 2, 3, 2, 4, 3, 0, 1, 3, 0, 2, 1, 1, 2, 4, 0, 3, 1, 0, 0, 2, 2, 1, 3, 3, 2, 3, 0, 3, 4, 0, 0, 0, 0, 1, 2, 3, 3, 2, 0, 4, 3, 2, 4, 3, 1, 0, 4, 4, 4, 0, 2, 0, 1, 3, 2, 3, 0, 3, 4, 0, 1, 3, 4, 3, 0, 4, 2, 1, 0, 0, 2, 2, 1, 3, 4, 0, 3, 1, 2, 2, 2, 1, 2, 3, 2, 0, 2, 2, 3, 2, 3, 0, 3, 0, 4, 1, 1, 1, 1, 4, 0, 3, 3, 1, 0, 0, 2, 4, 1, 4, 3, 1, 0, 3, 4, 4, 1, 3, 3, 1, 4, 0, 2, 0, 4, 2, 3, 2, 3, 2, 2, 2, 0, 4, 3, 4, 4, 4, 0, 2, 1, 1, 0, 1, 2, 0, 4, 0, 3, 3, 2, 4, 4, 3, 4, 3, 1, 2, 0, 2, 3, 4, 4, 0, 0, 4, 4, 0, 1, 3, 2, 4, 1, 0, 2, 1, 3, 3, 4, 2, 2, 2, 4, 3, 3, 3, 1, 0, 2, 1, 1, 0, 3, 4, 3, 2, 2, 0, 2, 4, 2, 3, 4, 2, 1, 0, 2, 2, 0, 0, 1, 2, 4, 3, 0, 1, 3, 1, 0, 1, 2, 4, 2, 0, 4, 2, 2, 3]
pubkeycol1645 = [3, 0, 1, 4, 1, 2, 4, 0, 1, 2, 0, 1, 3, 4, 4, 0, 3, 3, 0, 1, 0, 0, 3, 4, 4, 4, 0, 4, 1, 1, 1, 3, 2, 1, 4, 0, 1, 3, 0, 1, 4, 0, 4, 1, 0, 2, 3, 1, 0, 2, 3, 4, 2, 0, 2, 1, 4, 0, 2, 4, 2, 1, 2, 4, 0, 2, 2, 0, 4, 3, 3, 1, 0, 3, 4, 0, 1, 3, 3, 0, 3, 3, 0, 1, 2, 3, 4, 4, 4, 0, 2, 3, 2, 0, 0, 4, 0, 1, 3, 4, 3, 4, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 3, 0, 2, 2, 3, 1, 2, 0, 0, 4, 2, 3, 1, 2, 0, 2, 1, 3, 0, 0, 3, 0, 4, 2, 1, 0, 3, 2, 2, 2, 2, 2, 4, 4, 0, 2, 3, 3, 0, 0, 3, 2, 4, 1, 2, 4, 0, 0, 3, 1, 0, 0, 1, 1, 0, 1, 1, 4, 1, 0, 0, 2, 3, 4, 1, 3, 2, 1, 4, 0, 4, 1, 1, 3, 0, 4, 3, 4, 0, 1, 0, 1, 3, 0, 3, 0, 3, 1, 2, 1, 3, 2, 1, 3, 0, 0, 4, 2, 4, 1, 4, 2, 1, 1, 1, 2, 3, 4, 0, 2, 3, 3, 4, 3, 4, 2, 2, 3, 1, 4, 4, 1, 1, 0, 0, 1, 3, 2, 0, 2, 0, 1, 0, 3, 3, 4, 0, 3, 3, 0, 2, 0, 0, 2, 3, 4, 2, 1, 2, 1, 1, 4, 3, 0, 0, 0, 2, 4, 3, 4, 2, 4, 1, 3, 0, 1, 1, 2, 4, 3, 3, 0, 1, 1, 3, 0, 0, 4, 0, 3, 0, 1, 3, 2, 3, 4, 4, 4, 3, 1, 4, 4, 3, 3, 0, 3, 2, 3, 2, 2, 2, 1, 3, 0, 3, 3, 2, 3, 1, 3, 1, 2, 0, 3, 3, 3, 1, 0, 0, 3, 1, 1, 2, 4, 0, 0, 1, 4, 2, 0, 0, 0, 1, 0, 0, 4, 1, 4, 4, 3, 3, 4, 4, 0, 2, 4, 2, 0, 2, 4, 3, 3, 4, 1, 0, 1, 1, 3, 3, 4, 1, 1, 4, 4, 2, 1, 2, 3, 3, 2, 1, 1, 1, 1, 3, 4, 3, 4, 1, 0, 4, 3, 3, 0, 4, 3, 4, 0, 3, 3, 3, 3, 3, 1, 1, 4, 3, 2, 0, 4, 2, 4, 2, 3, 0, 3, 0, 1, 2, 0, 1, 4, 1, 1, 3, 1, 1, 3, 3, 1, 1, 1, 2, 4, 3, 0, 2, 1, 3, 0, 4, 1, 2, 1, 2, 1, 3, 2, 2, 4, 3, 4, 1, 3, 2, 3, 1, 3, 1, 2, 3, 4, 0, 4, 1, 1, 4, 2, 0, 1, 0, 3, 3, 0, 0, 0, 0, 3, 3, 1, 3, 2, 1, 4, 0, 2, 0, 0, 1, 2, 4, 0, 3, 0, 3, 2, 0, 4, 3, 0, 3, 3, 2]
pubkeycol1646 = [2, 4, 2, 3, 0, 0, 3, 3, 1, 3, 2, 3, 1, 2, 3, 4, 1, 3, 3, 0, 4, 0, 2, 4, 3, 1, 1, 1, 1, 4, 0, 0, 0, 1, 0, 1, 4, 0, 1, 4, 3, 1, 0, 3, 2, 2, 1, 3, 2, 2, 0, 3, 0, 4, 2, 1, 1, 0, 3, 2, 0, 1, 2, 4, 1, 0, 3, 2, 3, 2, 2, 3, 3, 0, 1, 2, 3, 4, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 3, 0, 0, 3, 0, 3, 4, 0, 2, 2, 1, 2, 0, 3, 1, 4, 3, 4, 3, 4, 4, 1, 4, 0, 0, 4, 2, 2, 3, 1, 3, 0, 0, 2, 4, 2, 1, 1, 1, 1, 3, 0, 2, 0, 1, 2, 0, 3, 3, 3, 4, 3, 1, 4, 1, 4, 1, 3, 4, 4, 3, 2, 4, 4, 1, 2, 1, 2, 4, 2, 0, 2, 3, 1, 0, 4, 3, 1, 4, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 3, 3, 2, 1, 4, 0, 4, 2, 4, 4, 1, 0, 3, 1, 0, 2, 2, 3, 0, 1, 2, 4, 4, 2, 1, 0, 1, 2, 3, 0, 0, 1, 2, 0, 4, 0, 2, 1, 3, 1, 2, 4, 2, 1, 3, 3, 4, 3, 0, 1, 4, 4, 4, 4, 0, 1, 1, 4, 4, 3, 2, 3, 4, 3, 4, 4, 1, 3, 1, 4, 0, 4, 1, 3, 1, 3, 0, 0, 2, 2, 4, 0, 4, 3, 4, 1, 1, 2, 4, 2, 2, 1, 2, 0, 0, 1, 1, 3, 0, 4, 4, 2, 0, 4, 3, 3, 4, 1, 2, 4, 2, 3, 1, 2, 4, 3, 2, 4, 3, 0, 3, 0, 0, 0, 2, 4, 0, 1, 2, 3, 3, 4, 2, 2, 1, 3, 1, 1, 2, 4, 0, 4, 1, 4, 1, 0, 4, 0, 1, 4, 1, 3, 3, 3, 3, 0, 3, 0, 1, 1, 1, 0, 0, 0, 3, 2, 2, 3, 4, 4, 4, 0, 2, 3, 4, 1, 1, 1, 1, 0, 4, 0, 3, 2, 4, 2, 3, 1, 4, 0, 3, 3, 3, 3, 4, 1, 4, 3, 4, 2, 2, 4, 4, 0, 4, 3, 4, 4, 1, 1, 0, 4, 0, 2, 1, 2, 1, 0, 0, 0, 1, 3, 0, 4, 4, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 4, 1, 4, 4, 2, 3, 3, 4, 1, 0, 0, 3, 2, 4, 1, 4, 3, 1, 3, 3, 1, 0, 3, 2, 2, 0, 0, 1, 4, 0, 2, 2, 1, 3, 2, 0, 3, 4, 2, 2, 4, 0, 1, 4, 0, 1, 4, 4, 4, 1, 1, 3, 4, 4, 3, 4, 3, 4, 0, 2, 1, 1, 0, 4, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 4, 1, 1, 1, 2, 0, 3, 4, 0, 3, 0, 2, 2, 1, 1]
pubkeycol1647 = [2, 1, 3, 4, 4, 1, 2, 2, 1, 4, 1, 0, 0, 0, 4, 2, 1, 3, 1, 0, 0, 1, 4, 2, 3, 3, 4, 0, 3, 3, 0, 2, 4, 2, 0, 1, 4, 1, 4, 4, 4, 1, 4, 0, 3, 0, 1, 4, 0, 2, 3, 2, 1, 4, 2, 0, 4, 4, 2, 0, 0, 3, 1, 3, 0, 2, 1, 0, 4, 1, 4, 4, 1, 1, 0, 2, 2, 4, 2, 3, 1, 3, 1, 3, 1, 0, 4, 4, 1, 0, 3, 3, 1, 4, 1, 2, 4, 1, 3, 2, 4, 1, 4, 4, 2, 1, 0, 0, 1, 2, 3, 1, 4, 3, 2, 3, 1, 3, 4, 4, 4, 4, 1, 2, 2, 0, 2, 1, 3, 0, 2, 2, 2, 2, 0, 4, 2, 0, 1, 0, 3, 0, 4, 1, 1, 4, 2, 1, 0, 1, 2, 2, 2, 1, 3, 1, 3, 2, 0, 0, 4, 3, 3, 2, 1, 2, 0, 2, 1, 3, 1, 2, 4, 1, 0, 4, 4, 2, 3, 4, 2, 1, 2, 4, 3, 0, 1, 0, 2, 1, 4, 2, 0, 3, 1, 0, 1, 4, 4, 1, 2, 3, 3, 1, 4, 2, 3, 2, 4, 2, 2, 1, 0, 0, 0, 3, 0, 0, 3, 0, 3, 4, 2, 0, 2, 2, 0, 2, 1, 4, 0, 0, 3, 2, 2, 4, 4, 3, 2, 4, 0, 2, 2, 3, 0, 3, 0, 2, 1, 4, 3, 4, 0, 4, 4, 3, 0, 1, 4, 0, 1, 2, 1, 3, 0, 0, 0, 0, 1, 2, 0, 2, 0, 4, 3, 4, 2, 0, 3, 2, 1, 4, 2, 3, 1, 4, 2, 3, 0, 0, 1, 0, 4, 3, 1, 0, 2, 4, 0, 2, 4, 0, 1, 4, 2, 3, 3, 1, 1, 2, 1, 1, 2, 0, 0, 2, 4, 2, 3, 3, 0, 0, 0, 1, 4, 1, 3, 4, 2, 3, 3, 0, 1, 0, 1, 2, 3, 3, 2, 2, 0, 3, 4, 0, 4, 3, 4, 3, 4, 0, 0, 2, 4, 2, 1, 4, 4, 1, 1, 0, 1, 4, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 3, 2, 2, 0, 2, 1, 3, 3, 4, 4, 2, 1, 0, 2, 4, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 3, 4, 2, 4, 3, 3, 4, 3, 1, 3, 4, 4, 3, 2, 4, 4, 3, 4, 2, 0, 1, 0, 2, 0, 4, 4, 1, 3, 3, 3, 1, 4, 1, 1, 0, 0, 0, 3, 2, 1, 3, 2, 4, 1, 0, 0, 3, 2, 2, 3, 3, 0, 4, 1, 4, 1, 2, 0, 0, 1, 0, 3, 4, 4, 4, 1, 1, 0, 2, 3, 2, 0, 3, 1, 4, 0, 3, 3, 3, 0, 4, 4, 4, 1, 2, 1, 0, 2, 0, 1, 2, 0, 3, 2, 3, 3, 3, 1, 1, 1]
pubkeycol1648 = [3, 1, 0, 4, 0, 2, 4, 1, 1, 2, 3, 4, 3, 1, 1, 1, 0, 3, 3, 2, 3, 1, 4, 3, 1, 2, 4, 4, 4, 2, 3, 1, 3, 4, 3, 1, 2, 0, 3, 1, 3, 3, 2, 2, 0, 1, 3, 4, 2, 4, 4, 2, 1, 1, 1, 1, 2, 3, 3, 2, 3, 4, 0, 1, 1, 0, 2, 1, 3, 4, 0, 2, 1, 0, 2, 0, 4, 2, 1, 4, 0, 2, 4, 0, 4, 1, 0, 2, 0, 3, 1, 4, 2, 3, 1, 1, 0, 4, 2, 3, 2, 4, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 4, 0, 2, 2, 0, 1, 0, 2, 4, 2, 4, 1, 2, 1, 4, 2, 4, 0, 1, 1, 0, 0, 3, 1, 4, 1, 3, 4, 0, 3, 2, 4, 2, 2, 2, 1, 4, 3, 4, 3, 2, 4, 1, 4, 4, 0, 2, 4, 4, 4, 2, 2, 1, 0, 0, 2, 3, 4, 0, 0, 4, 0, 3, 2, 2, 4, 4, 4, 2, 3, 4, 2, 2, 0, 4, 2, 2, 3, 3, 4, 2, 4, 0, 0, 3, 2, 0, 3, 0, 0, 1, 0, 2, 4, 2, 4, 4, 2, 2, 2, 2, 3, 2, 1, 1, 2, 3, 4, 4, 3, 0, 1, 1, 4, 3, 2, 0, 0, 2, 0, 2, 4, 1, 3, 0, 3, 3, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 4, 4, 3, 4, 0, 0, 3, 1, 4, 0, 3, 4, 4, 3, 2, 3, 0, 0, 1, 3, 1, 0, 3, 4, 2, 2, 1, 4, 2, 2, 2, 1, 1, 1, 4, 1, 1, 3, 4, 2, 0, 4, 3, 2, 0, 2, 2, 2, 0, 2, 2, 4, 0, 2, 4, 4, 2, 0, 0, 0, 4, 2, 4, 1, 0, 2, 4, 2, 1, 4, 0, 1, 4, 3, 4, 1, 3, 1, 0, 0, 2, 1, 1, 0, 3, 3, 0, 2, 2, 3, 2, 1, 2, 4, 1, 4, 0, 1, 2, 0, 3, 3, 1, 1, 2, 3, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 3, 4, 2, 3, 1, 1, 0, 0, 0, 0, 4, 3, 2, 0, 3, 1, 1, 4, 0, 2, 1, 3, 2, 0, 0, 4, 3, 4, 0, 1, 4, 1, 2, 1, 0, 3, 3, 3, 2, 1, 3, 1, 4, 0, 2, 0, 3, 3, 3, 1, 4, 1, 0, 2, 3, 1, 4, 2, 2, 1, 0, 4, 1, 4, 3, 0, 0, 3, 2, 1, 3, 4, 1, 1, 1, 2, 2, 4, 3, 2, 2, 1, 4, 2, 2, 2, 2, 1, 4, 3, 4, 1, 4, 3, 2, 1, 3, 4, 3, 3, 4, 0, 1, 3, 3, 0, 2, 1, 1, 1, 1, 2, 3, 0, 2, 2, 2, 1, 3, 3, 2, 4, 1, 3, 1, 4, 3, 2, 4, 4, 1, 4, 0, 4]
pubkeycol1649 = [1, 2, 2, 3, 2, 3, 1, 1, 0, 4, 1, 4, 1, 1, 0, 0, 2, 1, 4, 1, 4, 1, 2, 2, 3, 3, 0, 2, 1, 1, 3, 1, 2, 0, 4, 4, 1, 4, 1, 3, 3, 1, 2, 1, 0, 1, 2, 4, 1, 0, 3, 3, 1, 0, 1, 2, 4, 1, 3, 2, 0, 2, 0, 0, 4, 1, 0, 0, 4, 4, 3, 3, 4, 2, 3, 1, 1, 3, 1, 0, 1, 4, 1, 1, 2, 3, 1, 2, 0, 2, 3, 4, 4, 1, 1, 1, 4, 4, 2, 4, 3, 1, 4, 1, 3, 4, 2, 3, 2, 3, 1, 4, 1, 1, 0, 1, 0, 2, 4, 1, 1, 3, 0, 2, 1, 3, 2, 3, 2, 4, 2, 1, 1, 3, 1, 3, 3, 2, 0, 0, 0, 3, 2, 1, 1, 0, 1, 1, 4, 3, 0, 4, 2, 0, 4, 0, 2, 1, 1, 3, 4, 3, 4, 4, 3, 4, 1, 4, 2, 4, 4, 0, 4, 3, 1, 4, 2, 2, 3, 4, 2, 4, 1, 0, 2, 4, 1, 3, 3, 3, 0, 3, 1, 0, 0, 2, 4, 1, 0, 3, 1, 3, 1, 3, 1, 0, 2, 3, 0, 4, 0, 0, 0, 2, 4, 0, 4, 1, 0, 0, 3, 3, 4, 1, 4, 4, 1, 0, 4, 1, 3, 2, 3, 0, 3, 2, 3, 4, 4, 2, 0, 4, 4, 3, 1, 0, 2, 3, 2, 2, 1, 3, 1, 3, 4, 1, 1, 0, 1, 3, 0, 1, 1, 3, 0, 2, 2, 1, 2, 3, 4, 3, 4, 0, 2, 2, 2, 3, 3, 0, 3, 1, 3, 3, 2, 2, 0, 2, 4, 1, 4, 0, 3, 0, 1, 0, 0, 3, 4, 0, 3, 2, 0, 4, 3, 2, 1, 4, 1, 3, 2, 2, 2, 2, 4, 0, 0, 2, 3, 2, 4, 1, 3, 4, 2, 4, 2, 3, 2, 4, 0, 0, 3, 3, 2, 3, 4, 3, 0, 2, 1, 0, 2, 1, 1, 1, 3, 1, 4, 0, 4, 1, 3, 1, 2, 1, 0, 3, 0, 3, 3, 0, 3, 1, 1, 1, 1, 1, 0, 4, 2, 3, 4, 2, 1, 3, 0, 0, 0, 3, 3, 3, 4, 1, 4, 2, 4, 4, 1, 1, 0, 2, 2, 4, 3, 1, 0, 2, 2, 1, 3, 1, 3, 0, 0, 2, 3, 4, 4, 1, 3, 2, 3, 2, 4, 2, 0, 2, 0, 0, 1, 0, 0, 3, 3, 0, 0, 3, 3, 2, 3, 1, 4, 4, 1, 0, 0, 1, 4, 4, 2, 2, 4, 3, 0, 0, 4, 0, 3, 2, 3, 4, 0, 2, 4, 4, 1, 0, 3, 0, 3, 4, 0, 0, 1, 0, 0, 0, 4, 1, 1, 3, 4, 3, 0, 1, 0, 3, 0, 1, 2, 3, 2, 2, 3, 1, 2, 2, 0, 3, 3, 0, 3, 1, 0, 4, 3, 2, 3, 3, 0, 4, 4, 0, 2]
pubkeycol1650 = [4, 3, 4, 2, 1, 0, 4, 4, 4, 2, 1, 4, 4, 4, 2, 2, 2, 0, 0, 4, 1, 4, 4, 4, 0, 1, 3, 4, 1, 4, 0, 4, 0, 4, 4, 3, 4, 2, 0, 1, 0, 3, 1, 3, 0, 0, 2, 2, 1, 4, 1, 4, 4, 1, 4, 4, 3, 4, 4, 3, 2, 4, 3, 0, 1, 4, 4, 3, 3, 1, 0, 4, 4, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 4, 1, 3, 3, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 3, 0, 3, 3, 2, 3, 4, 4, 2, 0, 2, 3, 2, 3, 1, 4, 1, 2, 2, 4, 4, 4, 2, 2, 4, 0, 1, 0, 0, 3, 3, 0, 4, 1, 4, 1, 1, 4, 0, 4, 0, 4, 3, 0, 0, 1, 1, 2, 2, 2, 4, 0, 3, 0, 3, 0, 0, 1, 3, 1, 2, 1, 2, 3, 2, 2, 1, 3, 2, 4, 3, 4, 1, 2, 1, 0, 1, 4, 1, 2, 1, 3, 1, 4, 2, 2, 3, 1, 3, 1, 3, 3, 0, 2, 0, 3, 1, 3, 0, 0, 0, 0, 2, 3, 4, 3, 1, 4, 3, 4, 2, 4, 0, 0, 0, 1, 4, 2, 1, 4, 4, 4, 4, 3, 0, 2, 0, 0, 1, 2, 3, 0, 1, 0, 0, 2, 1, 1, 4, 4, 2, 1, 1, 1, 4, 0, 4, 3, 3, 2, 0, 0, 4, 4, 2, 4, 0, 0, 0, 1, 2, 2, 1, 3, 1, 2, 0, 4, 0, 0, 2, 1, 0, 4, 1, 4, 1, 2, 4, 4, 3, 3, 3, 0, 0, 0, 1, 4, 1, 4, 0, 1, 1, 4, 2, 3, 0, 2, 1, 3, 3, 2, 0, 4, 4, 1, 2, 2, 2, 4, 1, 0, 3, 4, 4, 4, 4, 1, 1, 3, 2, 3, 1, 1, 0, 2, 0, 2, 3, 0, 4, 1, 0, 4, 2, 0, 4, 3, 1, 2, 4, 0, 1, 4, 4, 1, 2, 4, 2, 4, 2, 4, 1, 4, 3, 2, 3, 2, 0, 3, 1, 3, 1, 1, 3, 0, 2, 1, 3, 0, 0, 4, 3, 2, 0, 2, 2, 3, 3, 0, 4, 4, 4, 1, 0, 4, 4, 1, 3, 4, 2, 1, 0, 3, 2, 0, 3, 0, 1, 0, 2, 2, 1, 3, 2, 2, 1, 3, 3, 4, 2, 2, 0, 0, 2, 2, 0, 3, 4, 2, 4, 1, 1, 2, 4, 2, 3, 0, 2, 1, 2, 0, 1, 4, 3, 2, 3, 2, 0, 1, 1, 0, 3, 0, 3, 3, 1, 3, 3, 1, 2, 0, 1, 3, 4, 4, 3, 0, 2, 2, 1, 4, 0, 1, 2, 2, 2, 3, 2, 3, 4, 2, 2, 1, 1, 4, 2, 1, 4, 1, 4, 4, 3, 0, 3, 4, 1, 0, 4, 2, 4, 1, 1, 0, 0, 2, 0, 1, 4, 4, 0, 3, 4, 4, 3, 2, 0]
pubkeycol1651 = [2, 2, 3, 3, 0, 4, 3, 4, 4, 1, 1, 4, 3, 4, 2, 0, 2, 0, 1, 4, 3, 2, 4, 3, 2, 2, 1, 1, 0, 0, 4, 0, 0, 0, 1, 1, 1, 0, 4, 2, 2, 0, 3, 3, 0, 1, 0, 2, 1, 0, 0, 3, 4, 1, 4, 2, 2, 0, 4, 1, 3, 3, 3, 3, 2, 1, 0, 3, 4, 2, 2, 4, 2, 2, 1, 4, 4, 0, 4, 2, 4, 1, 4, 1, 2, 0, 0, 1, 2, 4, 2, 0, 2, 4, 0, 2, 3, 0, 1, 4, 0, 0, 1, 1, 4, 2, 3, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 4, 1, 1, 0, 1, 2, 1, 2, 3, 1, 2, 1, 2, 0, 1, 0, 1, 3, 0, 1, 3, 2, 1, 4, 4, 1, 1, 1, 3, 1, 0, 0, 4, 3, 3, 1, 1, 0, 3, 2, 4, 3, 0, 4, 3, 3, 0, 4, 0, 1, 3, 2, 4, 0, 2, 2, 4, 1, 3, 4, 1, 0, 2, 3, 1, 4, 0, 1, 0, 0, 0, 2, 4, 2, 4, 3, 4, 4, 3, 4, 1, 1, 0, 2, 0, 4, 3, 2, 0, 3, 2, 0, 2, 4, 3, 3, 1, 0, 4, 4, 1, 4, 4, 1, 2, 4, 0, 4, 2, 3, 4, 2, 3, 1, 4, 2, 2, 3, 3, 2, 3, 3, 3, 4, 4, 1, 3, 2, 0, 0, 4, 1, 2, 0, 3, 4, 0, 2, 1, 2, 0, 4, 2, 4, 3, 3, 3, 1, 0, 0, 1, 2, 2, 1, 2, 4, 1, 4, 2, 3, 3, 4, 4, 1, 3, 0, 3, 2, 3, 1, 4, 1, 3, 2, 4, 1, 0, 3, 0, 3, 1, 4, 3, 0, 0, 2, 2, 0, 4, 0, 2, 0, 3, 3, 0, 4, 1, 4, 0, 0, 1, 2, 4, 2, 1, 4, 0, 2, 2, 1, 4, 0, 3, 3, 2, 1, 1, 4, 0, 4, 4, 2, 4, 0, 4, 1, 1, 3, 1, 2, 3, 2, 3, 4, 0, 0, 0, 4, 1, 0, 1, 1, 2, 3, 2, 0, 0, 2, 4, 3, 0, 0, 1, 3, 0, 0, 1, 2, 1, 0, 0, 2, 2, 4, 0, 2, 1, 4, 4, 3, 1, 3, 3, 2, 0, 2, 4, 0, 4, 0, 2, 0, 3, 2, 4, 4, 0, 2, 4, 2, 2, 0, 1, 1, 2, 2, 4, 1, 4, 4, 2, 1, 3, 3, 0, 2, 1, 0, 0, 4, 3, 2, 0, 0, 1, 1, 2, 1, 4, 4, 0, 4, 3, 0, 0, 4, 1, 3, 4, 4, 4, 0, 1, 3, 1, 3, 2, 2, 2, 4, 3, 1, 4, 1, 2, 0, 1, 0, 4, 1, 0, 0, 1, 1, 0, 0, 4, 1, 3, 3, 0, 3, 0, 4, 0, 1, 0, 1, 1, 1, 3, 1, 0, 1, 2, 0, 2, 2, 0, 4, 0, 1, 0, 1, 4, 0, 2]
pubkeycol1652 = [3, 0, 0, 3, 0, 3, 4, 1, 0, 4, 1, 4, 3, 0, 1, 3, 0, 3, 4, 0, 1, 2, 0, 4, 0, 0, 0, 3, 1, 3, 2, 1, 3, 0, 3, 3, 1, 1, 2, 3, 1, 2, 3, 1, 1, 2, 0, 1, 1, 4, 1, 0, 3, 4, 4, 1, 4, 1, 3, 3, 4, 2, 2, 0, 2, 0, 4, 2, 1, 2, 2, 1, 0, 4, 0, 4, 0, 0, 1, 2, 0, 4, 0, 0, 3, 3, 1, 4, 2, 1, 3, 4, 0, 1, 0, 0, 4, 4, 4, 3, 2, 3, 3, 0, 2, 1, 4, 1, 0, 4, 0, 0, 0, 0, 3, 0, 2, 0, 4, 1, 1, 2, 3, 3, 4, 0, 4, 0, 4, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 4, 3, 1, 2, 1, 0, 2, 2, 0, 0, 4, 4, 1, 4, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 3, 0, 4, 0, 1, 4, 2, 2, 0, 1, 1, 4, 4, 1, 1, 0, 4, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 3, 1, 1, 2, 4, 2, 0, 0, 0, 3, 2, 0, 2, 1, 2, 3, 1, 2, 1, 2, 4, 3, 3, 2, 4, 2, 3, 2, 3, 1, 1, 0, 3, 1, 4, 4, 1, 4, 4, 4, 2, 4, 1, 0, 3, 0, 4, 1, 1, 3, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 4, 3, 3, 0, 0, 2, 2, 4, 1, 1, 1, 4, 0, 2, 3, 0, 4, 0, 3, 3, 1, 0, 0, 4, 0, 0, 2, 3, 1, 3, 0, 4, 0, 4, 3, 4, 4, 4, 3, 0, 1, 2, 3, 1, 4, 2, 3, 3, 0, 3, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 4, 1, 2, 1, 0, 1, 1, 3, 3, 0, 1, 4, 4, 3, 4, 0, 2, 1, 4, 2, 0, 1, 0, 0, 3, 1, 0, 3, 3, 0, 4, 1, 3, 0, 3, 4, 2, 4, 0, 4, 2, 3, 2, 4, 2, 4, 1, 4, 3, 2, 1, 2, 1, 2, 0, 2, 1, 3, 3, 4, 2, 1, 4, 1, 0, 3, 2, 3, 2, 2, 4, 2, 1, 3, 1, 3, 2, 4, 0, 2, 1, 1, 2, 3, 4, 4, 3, 0, 2, 4, 4, 0, 4, 1, 1, 3, 4, 3, 1, 2, 2, 1, 0, 3, 1, 0, 1, 4, 2, 1, 3, 3, 4, 4, 1, 3, 1, 4, 1, 2, 0, 4, 0, 0, 0, 0, 2, 0, 3, 4, 1, 4, 1, 1, 1, 1, 2, 3, 2, 1, 4, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 4, 3, 2, 2, 4, 3, 1, 2, 0, 0, 3, 2, 2, 2, 4, 0, 3, 4, 0, 2, 2, 0, 3, 2, 1, 3, 1, 2, 1, 3, 4, 3, 2, 2, 2, 4, 2, 4]
pubkeycol1653 = [0, 3, 1, 4, 2, 2, 3, 3, 1, 2, 1, 1, 4, 2, 1, 2, 3, 3, 0, 4, 4, 4, 1, 2, 4, 0, 4, 4, 2, 3, 0, 3, 0, 2, 1, 2, 3, 3, 2, 4, 0, 4, 0, 4, 4, 1, 4, 2, 3, 2, 4, 4, 1, 0, 1, 3, 2, 3, 0, 1, 3, 2, 2, 2, 0, 4, 3, 0, 4, 3, 0, 2, 0, 3, 3, 0, 1, 1, 0, 3, 2, 3, 2, 2, 1, 0, 0, 3, 1, 0, 2, 2, 2, 1, 1, 1, 4, 0, 1, 4, 4, 3, 2, 3, 0, 3, 4, 3, 2, 0, 2, 2, 2, 4, 1, 4, 3, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 4, 3, 3, 1, 1, 2, 0, 1, 2, 3, 0, 2, 4, 0, 1, 1, 0, 1, 2, 0, 3, 2, 2, 0, 0, 0, 4, 1, 1, 3, 3, 3, 2, 0, 4, 0, 2, 0, 3, 2, 4, 1, 1, 3, 0, 3, 3, 1, 2, 0, 1, 3, 2, 4, 4, 1, 3, 2, 2, 4, 2, 0, 2, 3, 4, 1, 0, 4, 3, 2, 3, 1, 1, 1, 0, 4, 1, 3, 4, 2, 3, 1, 2, 3, 4, 4, 3, 0, 2, 0, 3, 4, 1, 0, 1, 4, 4, 0, 4, 3, 3, 3, 0, 3, 3, 0, 1, 1, 3, 1, 4, 3, 2, 4, 3, 4, 3, 1, 2, 2, 3, 4, 3, 0, 4, 4, 0, 2, 4, 0, 4, 0, 3, 4, 3, 2, 1, 2, 4, 1, 4, 1, 2, 4, 0, 1, 1, 4, 1, 3, 4, 3, 0, 1, 4, 1, 2, 2, 3, 3, 0, 1, 3, 1, 4, 2, 4, 2, 0, 0, 2, 4, 4, 1, 4, 2, 0, 4, 1, 3, 3, 3, 0, 3, 3, 1, 4, 1, 1, 3, 1, 1, 0, 3, 4, 3, 1, 2, 3, 0, 4, 0, 2, 2, 0, 3, 1, 1, 1, 3, 1, 3, 2, 0, 0, 3, 4, 3, 4, 2, 4, 3, 0, 1, 2, 4, 4, 0, 0, 3, 2, 1, 1, 2, 4, 0, 0, 0, 1, 4, 2, 2, 3, 0, 1, 3, 2, 4, 2, 2, 2, 4, 2, 0, 1, 0, 0, 4, 4, 1, 2, 3, 2, 3, 3, 4, 1, 0, 0, 4, 4, 1, 4, 4, 3, 2, 1, 1, 3, 4, 1, 2, 3, 0, 0, 0, 1, 3, 0, 0, 2, 2, 3, 3, 4, 0, 3, 0, 0, 4, 4, 1, 0, 1, 0, 0, 4, 0, 2, 1, 1, 0, 4, 0, 1, 4, 3, 2, 3, 4, 3, 0, 2, 3, 1, 4, 3, 0, 2, 1, 3, 0, 4, 0, 3, 2, 4, 2, 4, 3, 4, 3, 4, 0, 1, 1, 3, 2, 2, 2, 2, 4, 0, 1, 0, 3, 4, 0, 2, 0, 4, 3, 3, 2, 4, 0, 4, 2, 3, 1, 4, 3, 4, 3]
pubkeycol1654 = [4, 0, 1, 2, 1, 1, 0, 2, 2, 2, 3, 1, 2, 2, 4, 2, 1, 4, 0, 2, 4, 2, 4, 4, 2, 0, 2, 4, 1, 4, 4, 2, 3, 4, 4, 2, 1, 3, 1, 3, 3, 1, 0, 3, 2, 1, 1, 4, 1, 0, 1, 4, 3, 3, 2, 4, 3, 3, 3, 1, 1, 1, 3, 3, 1, 1, 0, 0, 1, 4, 4, 4, 3, 3, 3, 0, 4, 4, 3, 2, 4, 1, 1, 3, 3, 3, 2, 1, 4, 4, 3, 3, 0, 4, 2, 0, 0, 1, 3, 3, 1, 3, 3, 2, 4, 2, 3, 1, 2, 0, 0, 0, 1, 0, 0, 1, 3, 0, 0, 0, 1, 1, 0, 0, 3, 4, 1, 0, 0, 0, 0, 2, 0, 3, 0, 3, 2, 0, 4, 1, 3, 0, 3, 0, 1, 0, 0, 1, 4, 4, 2, 3, 3, 0, 0, 2, 1, 0, 4, 0, 4, 0, 1, 3, 0, 1, 1, 3, 0, 3, 0, 2, 4, 4, 4, 4, 2, 2, 3, 4, 1, 0, 2, 4, 2, 1, 4, 3, 2, 2, 0, 1, 1, 3, 4, 4, 2, 1, 2, 3, 0, 2, 2, 2, 0, 3, 4, 2, 1, 2, 4, 1, 3, 4, 1, 0, 3, 3, 4, 0, 2, 4, 2, 1, 1, 1, 4, 1, 2, 1, 3, 2, 1, 0, 2, 1, 4, 0, 2, 0, 0, 1, 3, 0, 2, 0, 0, 3, 0, 2, 2, 2, 4, 3, 3, 3, 4, 4, 4, 2, 0, 2, 2, 2, 0, 0, 1, 4, 0, 2, 2, 4, 2, 2, 1, 0, 3, 0, 4, 4, 3, 2, 0, 4, 3, 2, 2, 4, 3, 3, 4, 0, 1, 1, 0, 3, 1, 1, 2, 2, 3, 4, 1, 2, 3, 4, 1, 4, 1, 2, 3, 2, 0, 0, 4, 2, 2, 0, 1, 0, 1, 3, 3, 4, 3, 4, 2, 3, 0, 1, 4, 3, 0, 0, 1, 3, 4, 3, 0, 2, 4, 3, 0, 1, 0, 3, 1, 3, 2, 0, 3, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 3, 3, 0, 2, 1, 0, 0, 0, 3, 0, 0, 4, 3, 1, 3, 2, 0, 4, 3, 1, 3, 2, 1, 4, 3, 0, 2, 0, 4, 3, 3, 0, 2, 3, 0, 1, 4, 3, 0, 3, 1, 2, 2, 1, 1, 2, 2, 3, 2, 2, 4, 1, 1, 4, 2, 0, 3, 4, 0, 3, 2, 1, 3, 1, 1, 0, 1, 1, 0, 3, 0, 1, 1, 4, 4, 0, 3, 4, 0, 2, 4, 4, 1, 1, 0, 2, 2, 3, 2, 3, 0, 0, 2, 4, 3, 3, 0, 3, 4, 2, 2, 2, 0, 3, 2, 2, 0, 4, 4, 4, 1, 0, 1, 2, 4, 1, 2, 4, 4, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 3, 1, 0, 2, 4, 0, 3]
pubkeycol1655 = [3, 0, 0, 4, 3, 2, 3, 3, 1, 2, 0, 1, 0, 4, 2, 4, 0, 1, 1, 4, 0, 4, 0, 1, 3, 3, 3, 2, 3, 0, 1, 4, 2, 4, 3, 4, 0, 4, 0, 2, 0, 3, 2, 1, 4, 1, 3, 4, 3, 2, 1, 2, 4, 3, 4, 3, 1, 1, 0, 4, 4, 0, 0, 2, 3, 2, 3, 3, 0, 1, 1, 2, 2, 2, 0, 2, 4, 2, 3, 0, 4, 0, 3, 2, 4, 0, 3, 1, 1, 4, 4, 1, 2, 0, 4, 1, 4, 1, 0, 1, 2, 1, 1, 1, 3, 3, 0, 3, 2, 2, 2, 1, 0, 3, 2, 2, 2, 0, 4, 1, 2, 2, 2, 4, 2, 2, 0, 2, 3, 0, 0, 0, 3, 4, 4, 2, 2, 2, 2, 3, 1, 0, 4, 3, 2, 2, 1, 3, 0, 0, 3, 1, 1, 4, 4, 2, 4, 3, 4, 2, 0, 1, 3, 4, 3, 1, 4, 1, 4, 3, 4, 0, 0, 0, 4, 1, 0, 1, 0, 1, 2, 4, 3, 3, 4, 3, 3, 0, 4, 1, 1, 0, 2, 1, 4, 4, 3, 1, 2, 3, 2, 3, 0, 3, 4, 4, 2, 3, 2, 4, 2, 3, 4, 4, 4, 0, 3, 0, 2, 4, 0, 0, 3, 1, 4, 2, 3, 4, 3, 0, 4, 0, 4, 1, 3, 1, 1, 0, 3, 0, 2, 4, 3, 3, 4, 4, 1, 0, 2, 3, 1, 1, 2, 3, 2, 0, 0, 2, 0, 0, 2, 4, 1, 0, 0, 3, 4, 0, 2, 1, 2, 0, 3, 4, 4, 0, 0, 3, 3, 3, 0, 1, 1, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 2, 4, 4, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 4, 4, 1, 3, 1, 3, 4, 2, 0, 0, 0, 0, 2, 4, 4, 0, 3, 0, 2, 0, 1, 2, 0, 3, 1, 3, 2, 2, 0, 0, 4, 1, 4, 0, 1, 0, 0, 4, 0, 3, 0, 3, 0, 0, 1, 1, 2, 3, 4, 2, 0, 3, 3, 4, 1, 3, 4, 4, 4, 2, 2, 1, 4, 0, 0, 0, 0, 2, 4, 4, 0, 4, 4, 1, 2, 1, 1, 4, 1, 3, 1, 0, 4, 4, 2, 3, 2, 0, 4, 2, 0, 3, 0, 4, 2, 1, 1, 1, 3, 4, 3, 1, 3, 4, 2, 3, 2, 0, 4, 4, 4, 2, 3, 4, 0, 0, 0, 4, 0, 4, 2, 3, 4, 2, 2, 3, 2, 4, 4, 4, 4, 3, 3, 1, 0, 4, 4, 4, 1, 0, 3, 2, 4, 0, 1, 4, 3, 0, 2, 2, 3, 4, 4, 4, 2, 2, 2, 0, 4, 2, 3, 2, 4, 2, 0, 1, 4, 2, 1, 1, 3, 1, 0, 3, 1, 0, 1, 2, 0, 4, 3, 1, 0, 2, 1, 1, 1, 0, 1, 4]
pubkeycol1656 = [3, 4, 1, 3, 1, 1, 2, 0, 1, 2, 2, 0, 3, 2, 2, 2, 1, 1, 3, 2, 2, 0, 1, 1, 2, 3, 4, 3, 4, 3, 4, 1, 1, 3, 2, 2, 4, 1, 3, 2, 3, 2, 0, 1, 0, 4, 2, 0, 0, 1, 3, 3, 0, 2, 0, 1, 3, 1, 1, 0, 0, 4, 3, 3, 4, 1, 3, 4, 1, 3, 3, 0, 4, 2, 1, 1, 2, 1, 1, 4, 0, 4, 1, 3, 1, 4, 4, 3, 2, 3, 4, 4, 0, 0, 4, 3, 0, 4, 1, 0, 3, 0, 4, 1, 3, 3, 1, 2, 1, 3, 4, 4, 4, 0, 3, 2, 2, 2, 3, 3, 4, 3, 0, 0, 4, 4, 2, 2, 2, 0, 3, 1, 2, 0, 3, 4, 3, 1, 3, 1, 4, 0, 2, 4, 0, 3, 2, 2, 0, 0, 0, 0, 1, 2, 3, 1, 4, 1, 2, 1, 4, 4, 3, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 4, 0, 2, 0, 1, 3, 2, 0, 1, 0, 3, 3, 2, 3, 0, 2, 3, 2, 4, 3, 3, 0, 0, 0, 3, 4, 2, 3, 3, 4, 2, 1, 2, 3, 0, 2, 0, 2, 2, 1, 1, 1, 1, 4, 1, 4, 3, 0, 0, 1, 0, 4, 3, 1, 4, 4, 3, 1, 4, 1, 2, 4, 4, 2, 3, 4, 2, 1, 1, 0, 3, 2, 0, 3, 3, 0, 3, 3, 1, 3, 4, 0, 0, 4, 2, 4, 3, 0, 4, 1, 2, 4, 0, 4, 4, 1, 0, 1, 1, 1, 0, 1, 4, 4, 0, 0, 3, 0, 4, 3, 4, 4, 4, 4, 4, 2, 0, 4, 2, 0, 4, 0, 4, 4, 2, 4, 3, 0, 2, 3, 3, 2, 3, 1, 2, 3, 0, 3, 1, 0, 3, 2, 4, 0, 0, 1, 4, 3, 1, 2, 2, 0, 1, 1, 0, 1, 4, 0, 0, 2, 3, 0, 3, 4, 1, 4, 2, 0, 0, 2, 1, 0, 3, 1, 3, 3, 1, 4, 1, 4, 2, 0, 2, 1, 4, 2, 2, 3, 0, 1, 3, 2, 0, 0, 4, 0, 2, 3, 3, 0, 1, 3, 0, 4, 1, 2, 1, 4, 4, 3, 0, 0, 1, 2, 4, 1, 0, 3, 2, 2, 1, 1, 2, 3, 1, 3, 4, 1, 2, 4, 1, 2, 3, 0, 1, 2, 4, 2, 2, 3, 1, 2, 4, 0, 3, 3, 2, 1, 4, 4, 2, 2, 2, 0, 4, 1, 3, 4, 4, 2, 4, 2, 4, 1, 4, 0, 0, 0, 2, 4, 4, 2, 0, 0, 0, 4, 2, 2, 2, 0, 2, 3, 4, 3, 4, 4, 3, 1, 1, 4, 3, 1, 3, 3, 0, 1, 4, 0, 4, 3, 1, 0, 4, 3, 1, 3, 3, 4, 3, 2, 3, 2, 3, 0, 2, 4, 2, 1, 4, 0, 1, 0, 0, 2, 2, 3, 2, 4, 2, 1, 2, 3]
pubkeycol1657 = [0, 2, 4, 2, 2, 1, 0, 1, 4, 1, 4, 4, 3, 0, 2, 1, 3, 4, 0, 3, 3, 3, 2, 2, 0, 2, 4, 1, 4, 2, 1, 3, 2, 1, 4, 4, 1, 4, 1, 3, 3, 4, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 3, 2, 3, 0, 3, 1, 1, 4, 0, 0, 4, 1, 3, 0, 0, 1, 3, 4, 3, 3, 3, 2, 4, 2, 0, 2, 3, 1, 4, 1, 1, 1, 1, 2, 3, 1, 3, 1, 4, 3, 4, 3, 4, 0, 2, 4, 0, 4, 3, 1, 0, 2, 0, 0, 4, 0, 1, 3, 0, 0, 3, 2, 0, 0, 3, 4, 1, 0, 3, 3, 1, 0, 2, 4, 0, 2, 2, 2, 2, 4, 4, 2, 4, 0, 3, 1, 4, 3, 0, 2, 0, 1, 4, 0, 0, 4, 1, 4, 4, 3, 1, 3, 2, 3, 3, 3, 1, 2, 3, 2, 0, 4, 4, 2, 3, 1, 0, 0, 2, 2, 4, 3, 0, 0, 1, 1, 4, 4, 1, 1, 4, 2, 4, 4, 2, 0, 2, 3, 0, 1, 4, 1, 2, 4, 3, 1, 0, 4, 1, 4, 3, 1, 3, 4, 0, 0, 1, 3, 3, 4, 2, 2, 4, 0, 3, 1, 1, 0, 1, 2, 2, 2, 0, 1, 3, 0, 4, 0, 1, 0, 4, 4, 1, 4, 2, 0, 1, 3, 2, 2, 4, 0, 0, 3, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 3, 2, 3, 3, 1, 2, 4, 0, 4, 2, 4, 2, 1, 0, 4, 3, 4, 1, 4, 2, 3, 0, 0, 2, 0, 1, 3, 1, 1, 1, 1, 1, 3, 0, 2, 2, 1, 4, 3, 2, 4, 0, 2, 4, 1, 4, 1, 2, 1, 2, 1, 0, 1, 3, 2, 3, 1, 4, 4, 1, 2, 4, 1, 0, 4, 1, 4, 0, 1, 1, 1, 2, 0, 0, 0, 1, 4, 4, 1, 4, 0, 0, 2, 1, 2, 0, 4, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 3, 3, 0, 2, 2, 3, 0, 2, 4, 1, 4, 0, 1, 0, 2, 1, 0, 2, 4, 4, 4, 4, 3, 0, 0, 0, 4, 0, 4, 2, 2, 4, 2, 2, 1, 3, 4, 4, 0, 3, 2, 1, 4, 4, 2, 3, 1, 3, 3, 1, 3, 4, 3, 1, 3, 1, 4, 3, 4, 2, 2, 4, 4, 4, 4, 3, 1, 4, 3, 4, 4, 1, 3, 1, 3, 3, 4, 2, 0, 3, 2, 1, 1, 4, 4, 0, 2, 4, 2, 0, 1, 1, 4, 1, 0, 3, 2, 3, 4, 2, 0, 2, 1, 4, 1, 4, 1, 4, 4, 2, 0, 1, 1, 3, 2, 1, 2, 2, 2, 4, 1, 4, 1, 0, 1, 3, 0, 4, 1, 0, 4, 2, 1, 2, 1, 2, 4, 0, 1, 4, 1, 3, 4, 1, 4, 1, 0, 1]
pubkeycol1658 = [2, 4, 4, 0, 1, 3, 2, 3, 4, 4, 0, 2, 0, 0, 1, 3, 1, 4, 3, 0, 4, 0, 3, 4, 3, 0, 3, 4, 1, 1, 0, 2, 4, 1, 4, 4, 3, 2, 4, 0, 3, 4, 3, 2, 2, 0, 0, 4, 0, 0, 0, 4, 0, 3, 2, 4, 4, 2, 2, 1, 4, 1, 4, 4, 1, 0, 0, 2, 3, 3, 0, 2, 1, 1, 3, 1, 1, 4, 0, 3, 2, 4, 1, 1, 4, 3, 3, 1, 1, 0, 2, 3, 4, 2, 3, 4, 4, 4, 2, 0, 3, 3, 1, 1, 4, 3, 4, 2, 2, 3, 0, 4, 0, 4, 2, 0, 0, 2, 4, 1, 2, 3, 2, 2, 1, 2, 4, 0, 2, 4, 1, 0, 1, 1, 4, 2, 0, 3, 1, 0, 2, 2, 4, 4, 2, 3, 2, 3, 0, 1, 0, 3, 0, 1, 1, 2, 2, 0, 3, 0, 1, 4, 2, 4, 1, 2, 1, 1, 2, 2, 3, 0, 0, 0, 0, 1, 1, 0, 2, 3, 0, 1, 4, 0, 2, 0, 4, 0, 0, 3, 0, 0, 0, 2, 2, 1, 4, 3, 1, 4, 1, 2, 1, 2, 4, 3, 2, 3, 3, 4, 0, 3, 0, 2, 2, 2, 4, 1, 2, 4, 4, 0, 0, 1, 3, 4, 1, 4, 1, 4, 0, 0, 4, 1, 1, 3, 3, 3, 2, 2, 3, 2, 1, 2, 3, 0, 0, 4, 1, 0, 0, 0, 4, 4, 1, 4, 1, 4, 1, 0, 2, 1, 4, 3, 3, 3, 2, 1, 0, 4, 3, 4, 3, 1, 1, 4, 2, 3, 0, 0, 3, 1, 0, 2, 0, 2, 0, 3, 4, 2, 2, 1, 1, 4, 2, 3, 2, 3, 4, 1, 1, 3, 3, 1, 3, 2, 4, 4, 3, 4, 4, 3, 1, 2, 3, 0, 4, 0, 2, 4, 2, 0, 3, 0, 3, 1, 0, 4, 2, 2, 0, 2, 3, 2, 2, 2, 0, 2, 4, 2, 0, 2, 0, 1, 4, 0, 0, 3, 2, 3, 4, 0, 2, 0, 1, 2, 2, 1, 4, 1, 4, 2, 4, 3, 2, 3, 1, 2, 2, 1, 4, 4, 4, 3, 2, 1, 1, 0, 4, 1, 2, 2, 0, 1, 2, 4, 2, 1, 2, 2, 0, 2, 4, 2, 4, 1, 1, 0, 2, 3, 4, 4, 0, 4, 2, 3, 1, 1, 3, 4, 3, 3, 2, 3, 4, 2, 1, 0, 4, 2, 4, 2, 1, 4, 2, 1, 1, 4, 2, 4, 4, 3, 4, 1, 1, 1, 4, 1, 1, 0, 1, 2, 2, 0, 4, 0, 3, 3, 1, 0, 1, 4, 0, 4, 4, 1, 0, 2, 0, 2, 1, 4, 3, 0, 2, 3, 1, 1, 0, 0, 3, 0, 0, 0, 3, 4, 3, 2, 3, 1, 1, 4, 3, 0, 2, 4, 0, 0, 1, 0, 2, 4, 3, 4, 2, 3, 4, 3, 4, 0, 3, 1, 4, 4, 1]
pubkeycol1659 = [2, 0, 1, 1, 4, 3, 0, 1, 2, 1, 0, 1, 3, 0, 0, 3, 4, 0, 3, 0, 1, 0, 2, 1, 4, 3, 1, 0, 1, 2, 0, 1, 2, 4, 1, 0, 3, 0, 3, 3, 3, 1, 0, 3, 4, 0, 4, 1, 2, 3, 3, 3, 1, 2, 4, 3, 2, 3, 1, 4, 4, 2, 0, 0, 3, 2, 1, 1, 2, 0, 4, 0, 3, 0, 4, 3, 0, 4, 4, 0, 2, 2, 3, 2, 4, 4, 0, 1, 2, 3, 1, 2, 1, 1, 0, 0, 2, 1, 4, 0, 2, 4, 2, 0, 0, 3, 0, 0, 2, 2, 3, 2, 0, 3, 1, 2, 4, 0, 2, 1, 0, 2, 1, 0, 4, 4, 4, 2, 2, 0, 4, 2, 4, 4, 2, 2, 1, 0, 1, 2, 1, 0, 3, 4, 0, 4, 1, 4, 1, 4, 2, 3, 4, 0, 3, 3, 0, 0, 2, 4, 1, 1, 3, 0, 3, 3, 4, 2, 3, 1, 3, 1, 4, 0, 4, 0, 2, 1, 4, 0, 0, 3, 3, 0, 2, 2, 0, 4, 0, 0, 4, 2, 4, 1, 3, 1, 0, 3, 1, 4, 1, 3, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 3, 4, 4, 1, 4, 4, 0, 0, 4, 1, 2, 1, 2, 0, 1, 1, 2, 2, 3, 2, 1, 1, 4, 1, 3, 1, 1, 1, 0, 3, 0, 4, 3, 0, 0, 0, 3, 0, 1, 0, 1, 4, 4, 1, 2, 3, 2, 2, 4, 0, 0, 0, 1, 3, 3, 4, 3, 2, 1, 1, 3, 3, 3, 0, 1, 4, 0, 1, 4, 0, 2, 3, 2, 2, 3, 2, 3, 0, 3, 2, 4, 2, 2, 4, 1, 4, 1, 2, 0, 3, 1, 1, 0, 0, 4, 3, 1, 2, 4, 1, 1, 3, 2, 0, 3, 3, 4, 0, 3, 4, 4, 4, 3, 1, 2, 1, 0, 2, 1, 4, 1, 0, 2, 3, 3, 3, 3, 3, 3, 0, 1, 0, 3, 0, 1, 0, 0, 1, 1, 0, 4, 2, 4, 4, 4, 3, 3, 2, 3, 1, 1, 3, 3, 3, 0, 1, 2, 3, 3, 0, 1, 0, 1, 0, 4, 0, 2, 2, 4, 4, 2, 1, 0, 1, 4, 0, 0, 4, 3, 4, 2, 3, 3, 3, 0, 0, 2, 1, 3, 1, 1, 4, 3, 4, 2, 0, 3, 0, 4, 2, 1, 2, 3, 3, 1, 4, 4, 3, 3, 4, 3, 3, 3, 1, 4, 4, 0, 0, 3, 2, 0, 2, 4, 0, 2, 2, 0, 4, 3, 1, 0, 3, 3, 0, 2, 3, 2, 2, 0, 2, 1, 2, 1, 1, 2, 4, 3, 0, 2, 0, 4, 0, 2, 3, 0, 3, 0, 4, 4, 0, 1, 3, 0, 0, 2, 3, 2, 2, 2, 0, 1, 3, 1, 0, 2, 1, 1, 4, 2, 3, 1, 3, 0, 2, 0, 0, 1, 3, 1]
pubkeycol1660 = [3, 3, 1, 3, 3, 4, 1, 4, 2, 3, 2, 0, 3, 1, 4, 3, 2, 0, 4, 2, 4, 4, 1, 4, 0, 1, 0, 2, 4, 4, 0, 3, 2, 0, 2, 3, 2, 1, 0, 4, 2, 0, 1, 4, 3, 1, 1, 3, 3, 4, 3, 4, 2, 3, 4, 0, 0, 3, 4, 2, 4, 0, 2, 1, 2, 2, 1, 3, 2, 1, 1, 3, 0, 1, 0, 1, 1, 3, 0, 0, 2, 1, 1, 2, 0, 3, 0, 3, 1, 3, 0, 3, 4, 2, 1, 4, 3, 1, 2, 4, 1, 4, 1, 3, 0, 1, 4, 1, 2, 4, 3, 0, 1, 1, 0, 0, 4, 1, 2, 0, 2, 0, 4, 0, 1, 1, 0, 1, 2, 0, 3, 0, 0, 2, 0, 0, 4, 2, 3, 2, 0, 1, 2, 4, 3, 0, 2, 2, 0, 3, 4, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 4, 4, 1, 3, 3, 1, 4, 2, 3, 4, 3, 3, 1, 4, 3, 4, 3, 4, 4, 4, 2, 0, 4, 0, 1, 1, 2, 3, 1, 4, 3, 3, 2, 3, 2, 4, 1, 1, 0, 0, 4, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 4, 2, 4, 0, 2, 4, 4, 3, 2, 0, 3, 4, 4, 2, 2, 0, 2, 2, 0, 4, 4, 4, 0, 0, 3, 4, 2, 4, 1, 4, 3, 0, 1, 3, 4, 3, 4, 0, 1, 4, 1, 3, 0, 4, 1, 4, 1, 0, 0, 3, 0, 3, 1, 4, 4, 4, 2, 1, 4, 4, 2, 1, 1, 1, 2, 1, 3, 3, 3, 3, 4, 0, 3, 3, 4, 4, 1, 4, 0, 4, 3, 4, 3, 3, 1, 1, 2, 0, 0, 2, 0, 2, 4, 4, 2, 1, 2, 1, 3, 4, 1, 4, 4, 3, 4, 1, 4, 0, 1, 2, 0, 2, 3, 1, 1, 0, 2, 1, 2, 0, 3, 2, 4, 4, 3, 3, 1, 0, 4, 1, 1, 3, 2, 4, 3, 0, 1, 3, 2, 0, 4, 1, 4, 1, 2, 0, 4, 1, 2, 3, 3, 1, 1, 0, 3, 3, 0, 4, 1, 0, 2, 2, 2, 2, 3, 3, 3, 3, 0, 3, 3, 4, 3, 0, 0, 1, 2, 3, 4, 2, 1, 2, 4, 4, 0, 3, 4, 2, 1, 2, 4, 4, 1, 2, 1, 3, 0, 0, 0, 2, 3, 4, 2, 3, 1, 3, 3, 3, 2, 2, 1, 4, 2, 2, 0, 4, 2, 4, 3, 2, 2, 1, 4, 2, 3, 3, 2, 2, 1, 3, 4, 4, 0, 4, 4, 3, 3, 1, 3, 3, 1, 3, 1, 2, 1, 3, 4, 3, 2, 3, 0, 1, 0, 0, 4, 4, 4, 3, 4, 2, 0, 2, 2, 0, 3, 4, 1, 1, 1, 2, 0, 4, 2, 3, 4, 3, 0, 0, 1, 0, 2, 3, 1, 0]
pubkeycol1661 = [0, 3, 4, 2, 3, 3, 3, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 4, 4, 4, 4, 3, 1, 1, 2, 2, 1, 0, 1, 4, 1, 1, 0, 3, 0, 3, 3, 0, 1, 0, 4, 0, 2, 0, 4, 2, 3, 0, 4, 1, 1, 1, 1, 0, 4, 0, 3, 0, 3, 1, 4, 0, 2, 3, 3, 0, 0, 4, 1, 2, 2, 4, 1, 4, 0, 4, 1, 4, 1, 1, 0, 0, 1, 0, 4, 3, 1, 1, 0, 1, 2, 3, 3, 4, 2, 1, 3, 4, 3, 4, 1, 3, 4, 4, 0, 2, 1, 0, 2, 4, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 3, 4, 2, 0, 4, 3, 3, 0, 0, 1, 2, 0, 3, 1, 0, 1, 0, 2, 3, 1, 4, 3, 3, 1, 2, 4, 4, 0, 3, 4, 2, 1, 3, 2, 4, 0, 0, 1, 3, 0, 1, 3, 2, 2, 3, 1, 3, 2, 0, 2, 2, 3, 0, 3, 1, 3, 0, 2, 1, 4, 3, 3, 2, 1, 2, 4, 3, 2, 0, 3, 0, 0, 0, 4, 1, 4, 2, 0, 3, 3, 0, 1, 4, 1, 2, 4, 4, 3, 0, 0, 2, 4, 0, 1, 3, 2, 1, 3, 2, 2, 3, 3, 4, 2, 0, 1, 3, 1, 0, 3, 2, 4, 1, 4, 1, 3, 3, 4, 4, 3, 1, 0, 2, 0, 1, 2, 1, 2, 0, 3, 1, 1, 2, 3, 1, 4, 2, 3, 2, 4, 2, 0, 2, 0, 3, 3, 1, 2, 4, 2, 3, 4, 3, 3, 4, 4, 3, 2, 4, 3, 3, 2, 3, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 3, 0, 2, 3, 3, 2, 1, 4, 3, 2, 0, 1, 0, 3, 0, 4, 4, 1, 2, 4, 0, 0, 3, 0, 3, 0, 1, 3, 1, 2, 1, 3, 3, 1, 2, 4, 2, 3, 1, 0, 1, 3, 4, 2, 2, 4, 0, 1, 0, 3, 4, 2, 0, 2, 0, 3, 0, 2, 4, 4, 4, 3, 2, 1, 4, 2, 0, 2, 3, 0, 3, 1, 2, 3, 1, 1, 4, 3, 0, 1, 4, 0, 3, 0, 3, 3, 4, 1, 0, 1, 0, 1, 0, 1, 3, 3, 0, 4, 4, 1, 2, 1, 0, 2, 4, 4, 4, 3, 2, 2, 2, 3, 1, 0, 1, 4, 4, 1, 0, 2, 0, 2, 2, 0, 4, 3, 0, 0, 2, 3, 2, 4, 3, 2, 2, 3, 4, 1, 2, 4, 0, 2, 2, 4, 0, 0, 3, 4, 3, 3, 1, 0, 0, 4, 1, 4, 1, 2, 0, 1, 1, 4, 1, 0, 3, 4, 2, 4, 2, 3, 3, 1, 3, 3, 1, 1, 2, 0, 2, 2, 2, 4, 1, 0, 1, 4, 0, 3, 2, 4, 0, 2, 3, 4, 3, 3, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 4]
pubkeycol1662 = [4, 3, 1, 2, 2, 1, 2, 1, 3, 4, 2, 3, 2, 0, 4, 1, 3, 0, 0, 1, 3, 2, 4, 0, 3, 3, 0, 4, 3, 1, 4, 1, 4, 0, 2, 4, 4, 0, 0, 2, 4, 4, 2, 1, 2, 3, 0, 3, 3, 2, 1, 1, 0, 3, 2, 3, 1, 0, 0, 1, 0, 2, 2, 2, 4, 3, 4, 2, 2, 2, 3, 4, 0, 1, 2, 1, 0, 4, 2, 0, 4, 2, 1, 4, 3, 4, 4, 1, 1, 2, 1, 4, 3, 3, 3, 0, 3, 2, 1, 1, 2, 2, 1, 0, 1, 1, 4, 2, 3, 1, 2, 3, 0, 4, 0, 1, 3, 2, 4, 1, 0, 4, 3, 1, 4, 4, 3, 4, 1, 4, 3, 3, 0, 2, 2, 2, 1, 0, 3, 3, 3, 1, 2, 2, 3, 3, 4, 2, 3, 2, 2, 4, 0, 2, 2, 1, 4, 2, 3, 1, 0, 4, 4, 1, 4, 0, 3, 2, 2, 0, 1, 0, 0, 3, 2, 4, 4, 2, 1, 0, 3, 4, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 4, 0, 3, 2, 2, 1, 0, 3, 0, 0, 4, 0, 3, 1, 0, 0, 4, 1, 0, 1, 2, 4, 1, 4, 0, 4, 4, 4, 4, 3, 2, 4, 2, 0, 1, 2, 2, 0, 3, 3, 1, 2, 1, 4, 1, 0, 4, 4, 0, 0, 0, 3, 3, 2, 4, 1, 2, 4, 0, 2, 1, 4, 1, 0, 2, 4, 4, 4, 1, 3, 1, 3, 1, 1, 1, 4, 0, 0, 3, 0, 3, 0, 3, 3, 4, 0, 3, 2, 4, 4, 1, 1, 0, 4, 0, 3, 4, 2, 0, 0, 3, 2, 1, 0, 1, 4, 3, 4, 3, 2, 3, 4, 3, 2, 1, 3, 0, 4, 0, 4, 0, 0, 1, 1, 3, 0, 2, 1, 0, 3, 1, 0, 1, 2, 0, 0, 1, 1, 1, 4, 1, 2, 2, 2, 4, 1, 4, 3, 2, 1, 0, 1, 1, 4, 1, 1, 0, 3, 3, 0, 1, 1, 3, 2, 4, 1, 0, 3, 1, 4, 1, 0, 0, 3, 4, 0, 1, 3, 3, 2, 1, 4, 4, 4, 3, 4, 4, 3, 3, 3, 2, 1, 0, 1, 2, 2, 4, 0, 4, 1, 4, 1, 1, 2, 1, 2, 1, 4, 1, 2, 0, 0, 2, 1, 0, 4, 3, 3, 1, 0, 3, 2, 0, 2, 0, 4, 3, 1, 0, 1, 0, 0, 3, 3, 0, 3, 0, 4, 1, 2, 4, 3, 4, 1, 3, 0, 3, 1, 4, 4, 4, 1, 4, 3, 2, 1, 2, 0, 1, 0, 2, 1, 1, 3, 4, 4, 1, 2, 3, 4, 4, 0, 4, 0, 4, 0, 3, 0, 4, 4, 4, 1, 3, 3, 4, 0, 4, 2, 3, 2, 0, 0, 0, 4, 2, 1, 0, 2, 1, 0, 0, 1, 4, 0, 2, 1, 1, 4, 1]
pubkeycol1663 = [4, 0, 2, 1, 0, 3, 0, 2, 1, 0, 3, 0, 1, 2, 2, 4, 2, 4, 1, 1, 1, 4, 3, 1, 3, 0, 1, 3, 2, 3, 3, 0, 2, 0, 4, 3, 2, 4, 4, 0, 1, 2, 3, 4, 0, 4, 1, 4, 2, 1, 1, 2, 0, 2, 1, 4, 3, 4, 2, 3, 4, 3, 0, 2, 2, 4, 4, 0, 3, 4, 4, 4, 3, 1, 3, 0, 2, 3, 3, 4, 2, 2, 1, 2, 4, 3, 1, 1, 3, 4, 3, 4, 1, 3, 3, 3, 4, 3, 3, 3, 1, 3, 1, 0, 0, 1, 3, 1, 4, 4, 0, 0, 4, 0, 2, 4, 1, 4, 1, 2, 1, 3, 2, 2, 0, 3, 1, 1, 3, 4, 1, 4, 4, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 3, 1, 1, 0, 3, 3, 1, 1, 1, 3, 3, 4, 3, 2, 1, 4, 2, 4, 1, 3, 1, 0, 2, 1, 1, 3, 0, 3, 1, 1, 0, 3, 0, 0, 2, 2, 2, 3, 2, 0, 0, 0, 1, 4, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 4, 0, 3, 3, 2, 4, 0, 3, 2, 1, 3, 3, 3, 2, 0, 0, 3, 0, 4, 3, 3, 4, 4, 2, 4, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 4, 3, 0, 0, 2, 2, 4, 4, 0, 0, 2, 3, 3, 4, 2, 0, 2, 4, 1, 1, 1, 4, 2, 2, 4, 4, 4, 1, 0, 0, 0, 0, 2, 3, 4, 1, 4, 1, 4, 2, 1, 3, 1, 0, 0, 4, 2, 2, 0, 4, 1, 2, 3, 3, 2, 0, 2, 2, 0, 0, 1, 3, 2, 0, 1, 1, 3, 1, 0, 0, 2, 3, 1, 4, 0, 0, 2, 3, 3, 3, 1, 2, 0, 3, 1, 1, 0, 3, 0, 4, 4, 0, 3, 2, 0, 3, 3, 0, 1, 3, 4, 4, 0, 2, 4, 3, 0, 0, 3, 0, 3, 0, 1, 0, 2, 2, 1, 3, 1, 0, 1, 4, 2, 4, 0, 1, 1, 2, 4, 3, 2, 3, 3, 0, 4, 1, 1, 4, 0, 4, 0, 4, 0, 4, 3, 4, 3, 1, 2, 0, 0, 0, 0, 4, 3, 3, 1, 0, 3, 4, 2, 4, 1, 4, 3, 2, 0, 1, 3, 2, 1, 4, 3, 0, 2, 2, 4, 4, 0, 1, 0, 3, 4, 0, 1, 3, 3, 2, 3, 3, 4, 4, 1, 3, 1, 3, 3, 0, 1, 3, 3, 4, 4, 2, 1, 2, 4, 2, 2, 1, 1, 2, 4, 1, 3, 3, 3, 0, 2, 3, 2, 3, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 3, 4, 4, 3, 2, 0, 0, 2, 0, 0, 3, 3, 2, 4, 3, 3, 4, 1, 3, 4, 4, 2, 1, 0, 0, 4, 2, 4, 4, 3, 3, 1, 2, 0, 1, 0, 1]
pubkeycol1664 = [0, 2, 1, 3, 1, 1, 3, 3, 4, 3, 2, 2, 1, 4, 2, 0, 0, 2, 0, 2, 1, 1, 4, 3, 2, 0, 2, 1, 0, 3, 2, 3, 0, 2, 2, 3, 4, 4, 0, 1, 0, 0, 3, 0, 0, 3, 3, 3, 3, 2, 2, 4, 3, 3, 3, 2, 1, 4, 3, 0, 0, 4, 1, 1, 0, 1, 4, 0, 1, 4, 2, 0, 4, 4, 4, 1, 3, 3, 1, 2, 1, 4, 1, 1, 1, 0, 0, 1, 2, 1, 3, 3, 3, 3, 3, 2, 0, 3, 4, 0, 0, 1, 0, 2, 3, 2, 2, 1, 3, 3, 2, 4, 2, 0, 4, 2, 2, 4, 0, 1, 0, 2, 3, 2, 0, 4, 3, 1, 4, 3, 0, 0, 3, 2, 2, 0, 2, 4, 1, 3, 4, 4, 1, 4, 2, 1, 3, 0, 1, 4, 2, 3, 4, 2, 0, 1, 4, 1, 3, 4, 3, 1, 0, 2, 3, 2, 1, 3, 1, 2, 1, 1, 0, 2, 4, 1, 0, 0, 0, 4, 2, 0, 0, 1, 1, 2, 3, 4, 1, 2, 1, 3, 3, 0, 1, 1, 1, 3, 4, 1, 3, 3, 1, 0, 1, 4, 1, 4, 4, 1, 3, 4, 2, 0, 1, 3, 4, 2, 2, 3, 3, 4, 1, 0, 3, 4, 1, 3, 1, 1, 2, 4, 0, 4, 2, 4, 1, 0, 4, 0, 4, 3, 1, 3, 0, 4, 1, 4, 0, 4, 0, 4, 1, 3, 0, 3, 0, 0, 4, 4, 2, 4, 3, 2, 1, 2, 1, 0, 1, 2, 3, 2, 1, 0, 0, 3, 4, 2, 1, 1, 0, 0, 1, 3, 0, 1, 2, 0, 4, 4, 1, 4, 1, 3, 4, 0, 0, 2, 2, 4, 3, 0, 1, 3, 3, 0, 0, 2, 3, 0, 1, 2, 4, 1, 2, 1, 0, 1, 4, 4, 3, 2, 3, 0, 2, 0, 2, 1, 0, 4, 4, 1, 0, 1, 0, 4, 1, 2, 0, 4, 3, 3, 4, 4, 3, 1, 3, 3, 3, 3, 3, 4, 2, 4, 4, 1, 4, 3, 1, 1, 4, 4, 3, 4, 0, 2, 2, 0, 0, 4, 0, 4, 4, 1, 0, 0, 1, 3, 4, 1, 1, 3, 4, 2, 4, 0, 0, 4, 4, 0, 4, 0, 2, 2, 3, 0, 4, 0, 3, 1, 0, 2, 1, 4, 2, 2, 2, 2, 3, 4, 4, 2, 3, 0, 0, 3, 3, 3, 2, 1, 4, 4, 0, 0, 0, 2, 4, 2, 4, 3, 2, 3, 3, 1, 2, 4, 0, 4, 3, 2, 2, 1, 2, 4, 3, 0, 0, 0, 0, 2, 1, 2, 1, 4, 3, 2, 3, 0, 0, 4, 0, 4, 4, 2, 2, 3, 4, 3, 2, 2, 4, 3, 2, 4, 0, 0, 0, 1, 0, 0, 2, 1, 2, 4, 2, 2, 4, 4, 3, 1, 1, 4, 1, 2, 3, 3, 0, 0, 4, 0, 2, 3, 4, 2, 1]
pubkeycol1665 = [2, 2, 0, 4, 2, 2, 3, 2, 2, 1, 0, 0, 3, 3, 1, 1, 4, 0, 0, 1, 3, 1, 3, 0, 4, 1, 4, 3, 1, 0, 2, 0, 3, 4, 4, 1, 4, 0, 0, 4, 1, 2, 0, 0, 2, 1, 4, 0, 4, 3, 3, 1, 3, 2, 0, 4, 3, 2, 0, 4, 4, 0, 2, 1, 2, 2, 0, 3, 3, 2, 1, 1, 0, 0, 0, 3, 3, 0, 1, 4, 4, 2, 2, 4, 4, 1, 2, 3, 1, 3, 2, 0, 0, 3, 2, 4, 1, 4, 2, 1, 3, 4, 0, 4, 2, 3, 3, 2, 2, 3, 4, 3, 1, 4, 1, 2, 4, 3, 1, 3, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 4, 0, 3, 1, 1, 0, 4, 4, 3, 4, 0, 0, 1, 1, 3, 2, 3, 1, 4, 1, 4, 3, 4, 3, 2, 0, 0, 0, 4, 3, 3, 1, 1, 0, 0, 0, 3, 0, 3, 2, 4, 2, 1, 4, 4, 3, 4, 0, 3, 0, 2, 4, 4, 1, 2, 1, 3, 0, 3, 3, 2, 3, 1, 3, 2, 4, 3, 2, 3, 3, 2, 2, 0, 1, 2, 2, 4, 1, 2, 2, 0, 3, 3, 3, 2, 2, 1, 2, 0, 0, 4, 4, 3, 3, 3, 2, 1, 1, 3, 3, 4, 4, 1, 2, 4, 3, 2, 3, 2, 4, 3, 0, 0, 2, 3, 3, 4, 1, 1, 2, 0, 0, 1, 3, 1, 3, 0, 0, 2, 1, 4, 0, 4, 1, 4, 1, 4, 2, 2, 2, 4, 0, 3, 3, 4, 1, 0, 1, 1, 1, 3, 1, 2, 3, 1, 1, 1, 2, 4, 4, 0, 0, 0, 0, 1, 3, 0, 1, 1, 0, 1, 2, 3, 0, 4, 3, 2, 2, 0, 3, 4, 2, 1, 3, 3, 1, 3, 1, 4, 2, 1, 4, 0, 0, 2, 0, 2, 1, 2, 1, 3, 3, 4, 0, 1, 1, 3, 2, 2, 1, 3, 3, 1, 3, 3, 4, 4, 4, 0, 0, 3, 3, 1, 3, 1, 2, 4, 3, 2, 2, 4, 3, 4, 2, 0, 3, 4, 1, 4, 2, 4, 4, 3, 4, 3, 4, 1, 1, 2, 0, 4, 0, 1, 4, 4, 4, 4, 1, 0, 4, 2, 4, 3, 2, 4, 2, 3, 4, 2, 2, 0, 0, 4, 0, 4, 0, 1, 0, 0, 3, 3, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 3, 3, 4, 3, 1, 2, 0, 2, 4, 0, 3, 1, 0, 0, 2, 3, 1, 2, 2, 1, 3, 4, 3, 3, 4, 0, 0, 2, 3, 0, 2, 1, 3, 1, 3, 1, 2, 0, 2, 0, 0, 1, 3, 3, 2, 4, 4, 1, 0, 4, 4, 1, 1, 4, 4, 2, 1, 0, 1, 4, 1, 3, 0, 0, 2, 4, 2, 4, 2, 0, 0, 3, 2, 2, 0, 3, 3, 1, 0, 4, 4, 3, 2, 2]
pubkeycol1666 = [0, 3, 0, 1, 3, 0, 3, 2, 1, 2, 0, 0, 3, 0, 4, 2, 1, 3, 3, 2, 3, 4, 0, 0, 1, 4, 4, 0, 2, 2, 2, 1, 1, 3, 3, 0, 1, 2, 2, 0, 1, 0, 4, 4, 1, 1, 4, 3, 4, 4, 2, 2, 3, 1, 2, 4, 3, 0, 2, 3, 4, 3, 3, 0, 0, 4, 3, 2, 2, 3, 1, 1, 3, 3, 2, 1, 0, 1, 3, 1, 2, 4, 4, 0, 0, 2, 1, 0, 2, 1, 2, 2, 3, 2, 0, 1, 3, 1, 2, 2, 2, 4, 2, 1, 4, 2, 2, 0, 3, 3, 0, 2, 4, 1, 1, 3, 1, 3, 4, 1, 1, 1, 0, 0, 3, 1, 3, 3, 2, 4, 4, 4, 2, 2, 0, 3, 2, 1, 2, 3, 2, 4, 2, 4, 2, 0, 3, 2, 0, 2, 2, 0, 3, 1, 1, 4, 4, 1, 2, 3, 0, 2, 2, 3, 0, 3, 0, 0, 2, 1, 2, 2, 1, 3, 4, 0, 1, 0, 1, 1, 0, 3, 4, 0, 0, 0, 0, 3, 1, 4, 1, 3, 4, 3, 4, 2, 4, 2, 0, 4, 2, 3, 0, 1, 0, 4, 0, 1, 4, 4, 2, 4, 0, 1, 2, 4, 1, 2, 3, 2, 4, 0, 1, 0, 3, 3, 4, 1, 2, 0, 0, 1, 3, 2, 1, 4, 1, 0, 1, 3, 4, 0, 4, 0, 2, 0, 3, 0, 1, 1, 3, 1, 3, 4, 2, 1, 3, 4, 1, 3, 1, 1, 0, 3, 3, 1, 1, 0, 1, 1, 4, 3, 1, 1, 0, 4, 3, 4, 2, 2, 1, 1, 4, 1, 3, 1, 0, 4, 1, 1, 1, 4, 2, 4, 4, 0, 0, 2, 2, 1, 4, 2, 2, 1, 0, 1, 2, 1, 4, 0, 1, 1, 0, 4, 1, 3, 3, 2, 2, 3, 2, 4, 4, 4, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 4, 2, 3, 1, 0, 3, 0, 1, 0, 1, 1, 4, 0, 3, 2, 0, 4, 3, 1, 0, 0, 1, 1, 1, 3, 1, 1, 4, 0, 0, 1, 3, 3, 4, 4, 2, 3, 3, 0, 1, 4, 3, 1, 3, 0, 2, 0, 1, 3, 4, 3, 2, 2, 0, 3, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 3, 1, 4, 0, 1, 0, 2, 4, 3, 1, 1, 2, 1, 0, 2, 0, 4, 2, 0, 1, 1, 1, 4, 4, 3, 0, 4, 4, 1, 4, 3, 4, 0, 4, 4, 1, 0, 1, 3, 3, 4, 0, 4, 1, 0, 1, 0, 2, 2, 4, 3, 1, 2, 2, 1, 4, 1, 1, 0, 3, 1, 1, 1, 0, 2, 3, 4, 3, 0, 3, 1, 1, 3, 4, 1, 0, 1, 2, 2, 2, 0, 3, 1, 4, 4, 4, 4, 2, 4, 1, 0, 2, 1, 3, 1, 1, 2, 0, 3, 3, 3, 3, 1, 2]
pubkeycol1667 = [1, 1, 4, 0, 3, 3, 4, 0, 4, 0, 4, 3, 0, 1, 2, 1, 4, 2, 4, 2, 3, 4, 3, 3, 3, 0, 1, 3, 2, 3, 2, 0, 2, 0, 3, 0, 2, 1, 2, 3, 1, 3, 2, 1, 3, 3, 4, 1, 3, 4, 1, 4, 0, 4, 0, 1, 1, 2, 1, 4, 0, 1, 4, 3, 1, 2, 1, 0, 0, 3, 1, 4, 3, 4, 3, 4, 0, 0, 2, 1, 2, 0, 4, 3, 4, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 3, 3, 0, 0, 4, 1, 4, 1, 1, 1, 3, 4, 4, 4, 4, 0, 4, 2, 3, 0, 2, 4, 0, 4, 0, 2, 1, 4, 3, 4, 0, 2, 0, 4, 3, 2, 4, 4, 1, 2, 4, 0, 0, 3, 3, 2, 1, 4, 0, 4, 2, 4, 0, 4, 2, 2, 1, 1, 3, 0, 1, 0, 0, 3, 2, 4, 2, 4, 0, 0, 2, 2, 2, 2, 4, 0, 2, 2, 1, 4, 3, 4, 1, 2, 2, 0, 2, 3, 0, 3, 4, 1, 4, 1, 2, 0, 0, 0, 2, 3, 4, 2, 3, 1, 3, 2, 3, 2, 0, 1, 1, 0, 0, 3, 0, 4, 1, 1, 0, 2, 4, 0, 0, 3, 3, 0, 3, 0, 4, 2, 1, 1, 4, 3, 3, 4, 2, 2, 0, 0, 4, 0, 4, 4, 3, 1, 4, 4, 3, 4, 1, 3, 0, 3, 2, 0, 3, 4, 1, 1, 1, 4, 3, 4, 1, 4, 2, 1, 3, 0, 0, 2, 0, 0, 3, 0, 4, 1, 3, 1, 1, 0, 1, 1, 0, 4, 3, 3, 1, 4, 3, 4, 2, 0, 1, 0, 1, 1, 1, 0, 4, 3, 4, 3, 0, 4, 3, 0, 3, 3, 3, 2, 2, 0, 2, 0, 1, 2, 3, 4, 1, 4, 4, 2, 1, 1, 1, 1, 2, 0, 3, 0, 4, 0, 0, 4, 3, 1, 2, 2, 1, 1, 1, 0, 0, 1, 3, 0, 0, 0, 3, 4, 0, 1, 3, 1, 4, 4, 0, 1, 2, 3, 4, 4, 3, 1, 0, 1, 1, 1, 1, 4, 0, 0, 1, 4, 4, 4, 4, 1, 2, 1, 0, 3, 3, 2, 1, 0, 0, 4, 0, 3, 4, 1, 2, 3, 0, 4, 1, 4, 3, 2, 2, 1, 1, 0, 4, 4, 4, 0, 2, 2, 4, 2, 0, 2, 3, 2, 0, 0, 3, 2, 3, 1, 4, 4, 4, 2, 0, 0, 2, 3, 4, 4, 3, 4, 3, 0, 0, 3, 4, 1, 3, 0, 3, 2, 2, 3, 4, 3, 3, 3, 0, 1, 1, 2, 3, 3, 1, 3, 4, 1, 3, 4, 0, 1, 0, 3, 1, 3, 1, 2, 4, 0, 4, 2, 4, 4, 1, 1, 2, 4, 1, 1, 1, 0, 3, 0, 1, 1, 0, 2, 0, 3, 2, 1, 0, 4, 1, 0, 1, 1, 0, 0, 1, 2, 3, 4, 1, 2]
pubkeycol1668 = [4, 3, 3, 0, 0, 0, 3, 1, 2, 0, 0, 3, 1, 3, 0, 3, 0, 2, 2, 1, 1, 4, 0, 0, 4, 2, 2, 4, 1, 0, 1, 3, 0, 4, 3, 1, 1, 4, 4, 0, 4, 1, 3, 1, 4, 1, 3, 0, 0, 0, 0, 3, 0, 0, 1, 3, 1, 0, 1, 2, 1, 1, 4, 4, 2, 2, 1, 2, 1, 4, 1, 4, 2, 3, 0, 4, 2, 3, 1, 3, 2, 0, 0, 4, 2, 2, 4, 1, 2, 0, 3, 1, 0, 1, 2, 1, 3, 2, 3, 3, 0, 2, 3, 0, 4, 3, 2, 4, 1, 1, 0, 4, 2, 2, 1, 0, 0, 0, 3, 4, 2, 3, 4, 3, 2, 2, 4, 1, 3, 2, 2, 1, 2, 4, 0, 1, 1, 1, 4, 1, 3, 2, 0, 1, 3, 1, 3, 4, 0, 3, 1, 2, 4, 3, 4, 0, 4, 3, 0, 0, 0, 1, 2, 2, 0, 3, 3, 1, 1, 3, 2, 0, 3, 2, 0, 3, 2, 0, 3, 0, 0, 0, 4, 1, 2, 1, 1, 2, 1, 3, 1, 3, 4, 1, 4, 3, 0, 1, 0, 4, 0, 3, 0, 1, 0, 0, 3, 2, 0, 1, 3, 4, 4, 0, 4, 4, 2, 3, 0, 4, 3, 3, 1, 0, 1, 1, 2, 4, 4, 1, 3, 3, 4, 3, 2, 2, 4, 4, 4, 4, 0, 4, 2, 3, 4, 3, 0, 2, 0, 4, 1, 3, 0, 4, 0, 0, 2, 4, 1, 4, 0, 0, 1, 2, 2, 0, 0, 4, 4, 4, 1, 4, 2, 2, 3, 0, 0, 4, 4, 1, 0, 3, 0, 2, 1, 1, 4, 4, 0, 1, 0, 3, 1, 3, 2, 3, 1, 3, 3, 2, 4, 2, 0, 2, 4, 1, 3, 0, 2, 1, 2, 3, 4, 4, 4, 3, 4, 4, 2, 0, 1, 4, 4, 2, 3, 4, 1, 0, 1, 0, 2, 2, 4, 4, 4, 0, 2, 1, 3, 3, 2, 3, 3, 1, 4, 1, 4, 2, 0, 3, 4, 0, 1, 0, 1, 3, 4, 2, 0, 1, 1, 3, 0, 3, 4, 0, 0, 2, 1, 1, 0, 3, 0, 4, 0, 4, 2, 1, 1, 4, 0, 4, 3, 2, 4, 0, 1, 3, 0, 3, 2, 1, 3, 2, 3, 2, 1, 0, 3, 1, 1, 0, 0, 0, 0, 3, 1, 2, 2, 1, 1, 4, 2, 2, 4, 3, 3, 4, 2, 1, 0, 1, 1, 0, 4, 4, 1, 4, 4, 0, 3, 1, 1, 1, 3, 3, 3, 3, 2, 4, 2, 3, 0, 1, 0, 0, 2, 1, 2, 1, 4, 2, 1, 3, 1, 0, 2, 4, 3, 1, 0, 1, 0, 1, 4, 1, 2, 3, 2, 2, 4, 1, 3, 1, 1, 4, 4, 1, 0, 3, 4, 0, 4, 3, 4, 0, 4, 0, 1, 1, 0, 2, 3, 2, 1, 0, 1, 4, 4, 4, 4, 2, 2, 4, 2]
pubkeycol1669 = [0, 3, 3, 3, 4, 4, 4, 2, 1, 0, 4, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 4, 1, 3, 0, 4, 1, 0, 1, 3, 0, 4, 4, 4, 2, 4, 3, 0, 0, 0, 3, 3, 1, 3, 4, 0, 2, 1, 3, 0, 0, 4, 2, 1, 3, 1, 4, 3, 1, 3, 4, 0, 2, 0, 0, 3, 1, 3, 0, 1, 0, 3, 2, 1, 4, 0, 3, 2, 0, 2, 2, 2, 2, 2, 3, 4, 0, 4, 3, 1, 0, 4, 1, 0, 1, 2, 1, 0, 4, 4, 3, 0, 2, 4, 0, 1, 4, 2, 4, 3, 0, 4, 3, 4, 1, 1, 2, 4, 1, 0, 1, 4, 3, 2, 0, 1, 1, 1, 0, 0, 2, 3, 0, 2, 3, 4, 3, 1, 2, 0, 2, 4, 0, 2, 2, 3, 2, 4, 3, 0, 1, 4, 2, 3, 0, 4, 3, 4, 0, 2, 2, 2, 3, 4, 2, 1, 0, 1, 1, 2, 4, 4, 2, 2, 0, 3, 3, 3, 3, 1, 1, 0, 2, 3, 0, 0, 2, 4, 4, 2, 3, 1, 2, 1, 3, 3, 4, 4, 2, 3, 3, 0, 0, 4, 1, 3, 2, 1, 4, 2, 0, 4, 2, 0, 4, 2, 0, 4, 4, 3, 1, 0, 3, 3, 3, 1, 0, 0, 2, 2, 4, 1, 3, 3, 3, 0, 1, 1, 0, 3, 1, 2, 4, 1, 4, 3, 3, 1, 1, 2, 3, 3, 4, 1, 4, 3, 0, 0, 4, 0, 2, 2, 1, 1, 1, 4, 3, 1, 3, 3, 1, 3, 3, 1, 4, 1, 4, 3, 0, 2, 1, 3, 1, 0, 4, 3, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 3, 0, 0, 1, 3, 1, 0, 0, 1, 0, 3, 4, 2, 2, 0, 1, 1, 3, 3, 3, 4, 0, 2, 0, 2, 3, 3, 3, 2, 4, 3, 1, 0, 1, 1, 1, 3, 1, 1, 1, 2, 1, 0, 0, 3, 3, 3, 4, 0, 2, 2, 4, 1, 4, 3, 4, 2, 1, 4, 1, 1, 1, 2, 4, 2, 0, 1, 0, 1, 3, 2, 0, 4, 3, 4, 0, 1, 2, 2, 3, 3, 1, 2, 3, 3, 0, 4, 2, 2, 4, 1, 1, 3, 3, 2, 1, 2, 2, 3, 0, 2, 4, 3, 0, 1, 1, 1, 4, 2, 3, 3, 3, 3, 3, 2, 2, 3, 1, 0, 3, 2, 0, 3, 1, 2, 2, 1, 2, 1, 4, 0, 2, 1, 4, 1, 3, 0, 3, 2, 4, 4, 2, 3, 3, 2, 3, 1, 0, 2, 2, 0, 0, 3, 3, 4, 0, 2, 1, 0, 2, 3, 4, 4, 2, 1, 3, 0, 1, 0, 4, 4, 3, 4, 1, 3, 2, 3, 0, 0, 1, 0, 0, 3, 2, 0, 3, 2, 1, 2, 3, 0, 4, 0, 4, 0, 2, 2, 2, 0, 4, 2, 4, 1, 3]
pubkeycol1670 = [3, 3, 1, 0, 4, 0, 0, 4, 1, 3, 4, 4, 3, 2, 2, 4, 4, 0, 0, 4, 4, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 4, 1, 3, 3, 4, 3, 2, 0, 2, 3, 0, 4, 2, 2, 3, 2, 0, 3, 0, 0, 1, 4, 0, 0, 2, 0, 3, 1, 2, 3, 3, 0, 1, 4, 0, 0, 0, 2, 1, 0, 3, 4, 4, 1, 2, 1, 4, 4, 3, 0, 1, 1, 1, 1, 1, 3, 2, 1, 2, 2, 1, 4, 4, 4, 3, 2, 4, 4, 1, 1, 4, 0, 1, 1, 1, 3, 3, 4, 3, 4, 3, 0, 3, 4, 1, 4, 3, 3, 0, 1, 4, 2, 3, 1, 1, 3, 1, 4, 1, 4, 4, 1, 2, 1, 2, 1, 0, 4, 3, 2, 4, 2, 2, 1, 1, 4, 1, 1, 3, 0, 2, 3, 1, 4, 2, 0, 1, 2, 1, 1, 3, 4, 1, 2, 3, 1, 2, 1, 3, 2, 3, 0, 3, 3, 0, 0, 2, 0, 2, 0, 4, 1, 3, 0, 1, 2, 2, 4, 1, 0, 4, 4, 4, 0, 4, 0, 1, 2, 4, 3, 4, 2, 3, 1, 0, 2, 4, 0, 0, 1, 3, 4, 1, 1, 1, 4, 2, 3, 1, 4, 4, 2, 2, 0, 4, 4, 4, 1, 1, 2, 0, 3, 1, 0, 4, 1, 4, 3, 1, 3, 2, 3, 2, 4, 0, 2, 4, 1, 2, 3, 3, 3, 1, 0, 1, 1, 2, 1, 4, 1, 4, 3, 0, 3, 2, 4, 3, 2, 1, 1, 3, 0, 0, 4, 1, 1, 2, 3, 4, 3, 3, 4, 4, 1, 4, 0, 3, 4, 1, 1, 3, 1, 0, 1, 3, 0, 3, 0, 3, 0, 1, 1, 4, 3, 0, 3, 3, 1, 3, 4, 4, 4, 4, 0, 2, 2, 4, 1, 0, 2, 0, 3, 3, 3, 3, 0, 1, 1, 2, 3, 3, 4, 1, 3, 1, 0, 3, 1, 1, 3, 1, 1, 4, 2, 1, 1, 0, 2, 4, 2, 3, 2, 1, 2, 0, 0, 1, 4, 0, 0, 4, 2, 3, 0, 2, 3, 0, 1, 0, 2, 1, 4, 4, 2, 2, 3, 0, 0, 4, 1, 4, 0, 0, 1, 2, 3, 2, 1, 2, 1, 2, 1, 2, 1, 2, 4, 3, 1, 0, 2, 0, 2, 4, 3, 2, 3, 2, 3, 4, 4, 4, 0, 3, 3, 2, 1, 1, 2, 2, 0, 0, 1, 4, 0, 3, 3, 2, 2, 3, 3, 0, 4, 1, 1, 0, 3, 4, 3, 4, 4, 1, 1, 3, 0, 0, 1, 4, 3, 2, 4, 3, 1, 0, 3, 4, 2, 0, 0, 0, 2, 4, 1, 1, 0, 1, 4, 1, 1, 2, 3, 1, 2, 2, 0, 0, 0, 3, 4, 1, 1, 3, 4, 1, 0, 2, 3, 3, 1, 4, 3, 0, 3, 2, 0, 3, 2, 1, 2, 0, 3, 2]
pubkeycol1671 = [2, 2, 3, 0, 3, 2, 3, 0, 0, 1, 1, 0, 3, 4, 2, 0, 0, 0, 3, 4, 2, 0, 1, 1, 2, 3, 4, 1, 1, 4, 3, 1, 2, 3, 2, 2, 4, 2, 3, 0, 0, 0, 0, 2, 3, 3, 2, 4, 1, 4, 4, 2, 1, 1, 2, 0, 4, 0, 3, 4, 1, 0, 1, 2, 4, 4, 1, 3, 1, 0, 3, 3, 1, 0, 0, 4, 3, 4, 2, 1, 1, 4, 4, 2, 1, 2, 4, 1, 4, 1, 4, 2, 3, 3, 3, 1, 4, 1, 0, 3, 1, 2, 4, 2, 0, 0, 1, 2, 1, 4, 1, 3, 0, 2, 4, 3, 2, 1, 0, 2, 4, 1, 1, 1, 0, 0, 2, 4, 2, 4, 3, 3, 0, 2, 4, 2, 1, 2, 0, 4, 1, 1, 1, 1, 3, 4, 2, 0, 2, 2, 1, 2, 1, 3, 0, 2, 3, 1, 4, 3, 0, 4, 2, 1, 3, 2, 0, 2, 1, 3, 4, 4, 1, 1, 3, 4, 4, 4, 0, 4, 1, 1, 3, 0, 0, 2, 2, 2, 4, 3, 3, 1, 2, 4, 4, 4, 0, 1, 0, 2, 4, 4, 0, 0, 0, 1, 1, 1, 2, 2, 0, 4, 4, 1, 1, 4, 1, 3, 1, 2, 2, 4, 4, 3, 2, 4, 0, 1, 4, 3, 2, 3, 1, 2, 2, 0, 2, 1, 4, 2, 2, 1, 3, 1, 1, 4, 2, 0, 2, 1, 1, 1, 4, 3, 3, 2, 1, 3, 3, 0, 2, 4, 1, 3, 1, 4, 4, 0, 4, 3, 0, 1, 2, 1, 2, 4, 4, 2, 0, 3, 0, 1, 1, 2, 4, 3, 2, 3, 4, 3, 1, 2, 2, 1, 1, 1, 0, 3, 3, 3, 4, 2, 3, 0, 4, 4, 4, 1, 1, 1, 0, 0, 4, 2, 4, 0, 4, 1, 0, 1, 4, 2, 2, 2, 2, 3, 3, 2, 0, 3, 4, 0, 1, 2, 2, 2, 0, 4, 4, 1, 2, 1, 1, 0, 2, 3, 1, 4, 0, 2, 3, 0, 4, 0, 2, 0, 4, 1, 3, 2, 3, 4, 0, 0, 0, 4, 3, 1, 1, 3, 1, 3, 3, 2, 1, 3, 4, 3, 2, 3, 0, 4, 4, 3, 4, 4, 3, 3, 1, 3, 4, 4, 4, 0, 4, 3, 0, 3, 0, 1, 2, 1, 0, 1, 0, 1, 4, 2, 1, 2, 1, 2, 0, 4, 4, 0, 2, 3, 3, 1, 3, 3, 4, 2, 1, 0, 0, 3, 2, 2, 4, 3, 0, 0, 2, 2, 1, 4, 2, 3, 2, 1, 3, 1, 1, 1, 4, 3, 0, 3, 2, 2, 4, 0, 4, 4, 3, 0, 2, 2, 3, 1, 3, 2, 1, 2, 2, 3, 4, 1, 4, 1, 3, 2, 2, 2, 3, 0, 2, 1, 2, 1, 4, 0, 1, 1, 3, 3, 2, 1, 0, 3, 1, 4, 3, 3, 4, 1, 1, 0, 4, 4, 3, 2, 2]
pubkeycol1672 = [0, 3, 4, 0, 4, 4, 1, 2, 0, 3, 3, 1, 1, 0, 0, 2, 4, 0, 0, 4, 1, 4, 0, 1, 3, 2, 3, 1, 2, 1, 3, 2, 4, 0, 4, 0, 4, 0, 1, 3, 2, 3, 4, 4, 0, 4, 3, 2, 1, 1, 1, 3, 4, 3, 0, 0, 1, 2, 3, 3, 4, 0, 1, 1, 0, 1, 3, 2, 4, 3, 1, 0, 1, 3, 1, 0, 2, 4, 4, 0, 2, 2, 3, 3, 3, 3, 2, 3, 0, 4, 1, 0, 3, 2, 0, 0, 4, 3, 1, 3, 4, 1, 0, 4, 4, 4, 0, 1, 3, 3, 3, 4, 0, 1, 3, 1, 2, 0, 3, 3, 1, 3, 2, 1, 1, 2, 1, 2, 4, 3, 4, 1, 3, 3, 3, 1, 4, 2, 2, 2, 0, 3, 1, 4, 2, 0, 1, 4, 2, 4, 1, 3, 0, 4, 3, 0, 2, 4, 1, 3, 0, 1, 0, 0, 3, 1, 4, 1, 1, 2, 3, 4, 1, 4, 3, 2, 2, 3, 4, 2, 0, 2, 4, 2, 4, 4, 1, 1, 0, 4, 0, 2, 0, 4, 4, 4, 1, 1, 1, 4, 3, 3, 3, 3, 0, 1, 3, 2, 3, 2, 0, 2, 4, 4, 1, 3, 1, 2, 0, 1, 0, 1, 4, 1, 1, 2, 2, 3, 2, 2, 3, 4, 4, 0, 1, 2, 3, 1, 1, 4, 3, 3, 3, 2, 2, 4, 1, 3, 0, 0, 1, 3, 2, 2, 2, 4, 1, 2, 1, 3, 2, 3, 3, 1, 3, 3, 3, 2, 4, 0, 1, 3, 4, 2, 1, 4, 4, 1, 2, 4, 4, 1, 0, 1, 1, 4, 2, 3, 2, 1, 4, 3, 0, 4, 2, 4, 2, 1, 2, 0, 2, 1, 4, 1, 0, 2, 2, 4, 1, 0, 1, 2, 3, 1, 2, 2, 3, 0, 3, 3, 2, 4, 1, 1, 1, 4, 4, 1, 4, 0, 4, 3, 3, 1, 1, 4, 3, 2, 4, 3, 3, 1, 0, 4, 3, 2, 1, 3, 0, 0, 4, 1, 3, 1, 4, 4, 3, 2, 2, 1, 1, 4, 4, 1, 2, 1, 2, 1, 0, 4, 1, 0, 1, 4, 2, 1, 0, 3, 1, 4, 4, 3, 4, 1, 1, 4, 2, 1, 4, 0, 1, 4, 1, 2, 1, 1, 4, 1, 4, 4, 0, 2, 2, 4, 2, 2, 0, 1, 1, 0, 3, 1, 2, 4, 4, 1, 0, 3, 0, 2, 0, 3, 3, 4, 2, 1, 1, 0, 1, 1, 3, 0, 3, 0, 3, 3, 1, 1, 0, 1, 4, 2, 1, 3, 1, 0, 4, 2, 3, 2, 3, 2, 3, 1, 3, 1, 0, 0, 0, 1, 1, 2, 3, 1, 2, 4, 1, 0, 2, 3, 3, 3, 2, 1, 4, 2, 0, 1, 2, 2, 0, 1, 0, 4, 1, 3, 4, 2, 3, 2, 0, 4, 2, 3, 2, 0, 1, 0, 0, 4, 1, 0, 0, 1, 3]
pubkeycol1673 = [4, 0, 3, 2, 2, 4, 2, 3, 3, 4, 4, 3, 2, 4, 1, 1, 2, 1, 2, 4, 2, 4, 3, 3, 1, 4, 0, 1, 2, 1, 0, 0, 2, 4, 2, 0, 0, 1, 2, 2, 1, 0, 3, 3, 0, 2, 1, 1, 1, 2, 0, 0, 4, 2, 0, 1, 0, 1, 3, 4, 1, 0, 4, 3, 0, 4, 1, 3, 4, 2, 4, 0, 4, 3, 1, 1, 0, 0, 0, 2, 2, 3, 2, 2, 4, 0, 4, 0, 3, 0, 3, 0, 3, 0, 4, 2, 0, 1, 4, 2, 4, 4, 0, 3, 1, 3, 0, 1, 2, 0, 2, 2, 4, 0, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 3, 4, 1, 3, 0, 0, 3, 3, 2, 2, 2, 2, 0, 4, 3, 2, 2, 0, 1, 3, 2, 1, 1, 3, 0, 3, 2, 0, 4, 4, 4, 3, 0, 1, 1, 2, 2, 3, 3, 2, 1, 4, 1, 3, 1, 4, 0, 1, 0, 3, 4, 4, 4, 4, 1, 3, 0, 4, 3, 2, 4, 2, 4, 1, 3, 4, 4, 3, 4, 4, 3, 0, 4, 1, 0, 4, 4, 0, 4, 3, 1, 0, 4, 3, 0, 2, 3, 3, 0, 1, 4, 4, 2, 0, 4, 1, 1, 3, 2, 2, 3, 1, 0, 1, 1, 1, 1, 1, 2, 4, 4, 3, 2, 2, 1, 3, 4, 3, 4, 0, 0, 4, 0, 2, 2, 2, 3, 0, 4, 4, 1, 3, 0, 2, 4, 3, 4, 2, 3, 4, 1, 0, 3, 1, 0, 0, 1, 4, 0, 1, 0, 2, 1, 3, 0, 1, 3, 2, 0, 2, 0, 0, 4, 0, 3, 4, 4, 0, 3, 2, 2, 2, 2, 1, 2, 2, 2, 0, 3, 0, 1, 2, 4, 0, 4, 0, 0, 0, 3, 1, 1, 2, 3, 1, 2, 4, 2, 0, 4, 0, 2, 0, 3, 0, 2, 0, 2, 2, 3, 3, 3, 1, 1, 1, 4, 0, 0, 3, 0, 1, 1, 0, 0, 4, 4, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 4, 1, 1, 2, 4, 4, 4, 1, 4, 2, 2, 4, 0, 0, 1, 0, 1, 2, 2, 4, 4, 3, 4, 2, 4, 2, 2, 3, 1, 1, 3, 3, 3, 3, 4, 2, 1, 3, 4, 3, 0, 4, 1, 4, 0, 1, 1, 1, 2, 4, 2, 3, 1, 2, 2, 3, 3, 0, 3, 3, 1, 0, 4, 0, 0, 1, 0, 2, 4, 2, 4, 2, 2, 0, 2, 0, 0, 2, 2, 4, 3, 0, 1, 2, 1, 2, 0, 1, 4, 2, 1, 2, 1, 1, 3, 4, 3, 3, 0, 0, 1, 0, 2, 3, 0, 1, 2, 3, 2, 2, 2, 0, 2, 0, 2, 4, 1, 1, 2, 0, 2, 2, 4, 0, 1, 4, 2, 3, 1, 0, 1, 0, 3, 1, 4, 3, 0, 3, 1, 2, 0, 1]
pubkeycol1674 = [4, 2, 4, 3, 4, 0, 1, 2, 4, 4, 0, 4, 0, 2, 4, 2, 4, 1, 3, 4, 4, 4, 4, 4, 1, 1, 1, 0, 3, 4, 2, 2, 0, 3, 3, 4, 1, 2, 1, 3, 4, 1, 1, 4, 4, 3, 4, 4, 3, 4, 4, 2, 3, 0, 2, 2, 0, 3, 1, 1, 3, 2, 3, 4, 3, 2, 3, 4, 2, 2, 4, 4, 2, 4, 1, 2, 0, 4, 0, 4, 3, 0, 0, 0, 0, 3, 0, 2, 3, 1, 4, 2, 4, 3, 1, 1, 2, 1, 2, 3, 1, 4, 3, 2, 3, 4, 0, 0, 2, 4, 0, 1, 2, 3, 3, 0, 0, 3, 2, 3, 3, 0, 1, 1, 1, 3, 3, 1, 0, 2, 0, 1, 3, 1, 4, 1, 0, 3, 3, 4, 4, 0, 1, 3, 3, 1, 4, 1, 0, 2, 0, 2, 0, 4, 4, 3, 4, 0, 1, 0, 1, 3, 3, 3, 1, 2, 1, 4, 3, 3, 3, 3, 0, 1, 4, 0, 3, 1, 1, 3, 1, 4, 4, 4, 0, 4, 4, 2, 2, 0, 3, 1, 2, 1, 0, 2, 3, 2, 3, 4, 2, 1, 2, 4, 2, 3, 3, 4, 0, 3, 1, 2, 0, 1, 3, 4, 1, 2, 1, 4, 3, 1, 0, 0, 4, 2, 3, 3, 3, 3, 0, 1, 4, 1, 3, 0, 3, 1, 2, 4, 0, 3, 0, 2, 0, 2, 2, 3, 2, 0, 4, 2, 0, 1, 4, 2, 1, 4, 0, 4, 3, 1, 3, 0, 2, 4, 4, 2, 4, 4, 2, 0, 4, 1, 4, 3, 2, 0, 3, 1, 2, 1, 4, 1, 3, 1, 0, 1, 4, 2, 0, 1, 2, 3, 2, 3, 3, 0, 0, 4, 4, 1, 3, 4, 1, 0, 4, 3, 1, 0, 4, 3, 2, 0, 4, 4, 4, 2, 3, 0, 1, 2, 2, 4, 1, 3, 3, 4, 4, 1, 1, 2, 0, 4, 3, 1, 1, 4, 4, 1, 0, 4, 0, 4, 1, 2, 3, 4, 2, 2, 3, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 4, 4, 0, 0, 3, 1, 2, 0, 3, 4, 1, 3, 0, 2, 3, 1, 3, 2, 1, 0, 1, 2, 1, 2, 3, 2, 4, 3, 3, 4, 1, 3, 2, 1, 2, 2, 0, 0, 3, 1, 4, 0, 1, 4, 0, 3, 0, 1, 1, 0, 2, 2, 0, 3, 1, 1, 3, 4, 2, 2, 0, 3, 2, 0, 1, 4, 0, 1, 0, 4, 1, 2, 3, 3, 4, 2, 1, 2, 1, 0, 4, 1, 1, 4, 2, 4, 3, 0, 1, 3, 0, 2, 1, 0, 4, 2, 4, 3, 1, 3, 1, 4, 2, 4, 2, 4, 4, 0, 0, 1, 1, 2, 2, 3, 0, 2, 2, 3, 4, 4, 3, 4, 0, 4, 3, 4, 4, 4, 2, 0, 1, 2, 2, 0, 3, 4, 3, 2, 0, 2, 4, 2, 3]
pubkeycol1675 = [2, 0, 0, 1, 0, 4, 0, 4, 0, 0, 4, 4, 1, 4, 4, 0, 3, 1, 0, 1, 4, 1, 4, 0, 0, 1, 1, 2, 3, 3, 4, 4, 1, 2, 4, 1, 2, 1, 3, 0, 4, 2, 4, 0, 4, 3, 0, 3, 2, 0, 2, 4, 1, 3, 4, 2, 2, 0, 3, 1, 4, 4, 1, 3, 3, 4, 2, 1, 3, 3, 0, 3, 0, 1, 1, 0, 3, 3, 1, 3, 3, 1, 3, 4, 4, 0, 2, 0, 4, 4, 3, 4, 0, 2, 0, 4, 3, 3, 3, 2, 3, 3, 1, 3, 4, 4, 0, 4, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 3, 3, 0, 1, 2, 0, 3, 3, 2, 2, 2, 0, 2, 1, 3, 3, 2, 4, 4, 1, 0, 4, 0, 1, 4, 0, 4, 1, 2, 1, 1, 0, 3, 3, 3, 0, 4, 1, 2, 0, 1, 2, 1, 2, 4, 3, 2, 0, 4, 4, 2, 2, 2, 1, 3, 2, 0, 3, 0, 1, 2, 2, 1, 2, 1, 0, 0, 4, 4, 0, 4, 0, 1, 4, 4, 0, 2, 3, 3, 4, 1, 3, 1, 2, 0, 2, 2, 2, 3, 0, 1, 1, 3, 0, 2, 4, 4, 1, 0, 4, 3, 2, 3, 1, 2, 3, 0, 4, 4, 1, 0, 3, 1, 0, 2, 2, 3, 3, 3, 0, 4, 1, 2, 4, 1, 4, 3, 2, 1, 1, 1, 3, 0, 1, 2, 2, 1, 0, 3, 1, 4, 1, 2, 1, 1, 4, 0, 2, 2, 4, 2, 3, 4, 0, 1, 4, 3, 3, 2, 2, 2, 4, 1, 2, 1, 4, 1, 4, 2, 3, 3, 0, 4, 2, 2, 4, 4, 3, 4, 1, 2, 3, 2, 3, 4, 2, 4, 4, 3, 4, 1, 3, 2, 4, 4, 2, 0, 3, 2, 1, 3, 3, 1, 4, 3, 0, 2, 1, 3, 2, 1, 0, 4, 4, 0, 1, 4, 0, 4, 1, 4, 2, 0, 2, 1, 3, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 3, 3, 0, 3, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 4, 0, 3, 4, 2, 4, 3, 0, 0, 2, 1, 1, 2, 1, 3, 2, 2, 3, 4, 4, 4, 0, 0, 3, 1, 2, 3, 3, 4, 3, 3, 3, 2, 3, 1, 3, 1, 2, 1, 4, 4, 0, 0, 1, 4, 0, 2, 3, 0, 3, 0, 2, 1, 4, 3, 3, 0, 1, 2, 3, 1, 3, 1, 3, 2, 2, 3, 2, 4, 1, 2, 2, 4, 1, 0, 0, 4, 1, 2, 1, 3, 0, 2, 1, 2, 1, 0, 1, 0, 3, 4, 3, 0, 4, 0, 0, 1, 4, 3, 2, 3, 0, 4, 2, 1, 1, 1, 4, 0, 2, 4, 0, 0, 4, 0, 0, 4, 2, 1, 2, 2, 1, 2, 0, 4, 3, 2, 1, 0, 1, 0, 1, 4, 4, 0, 1, 1]
pubkeycol1676 = [2, 1, 4, 2, 2, 2, 1, 3, 4, 1, 1, 1, 3, 3, 4, 1, 4, 3, 1, 1, 0, 2, 2, 1, 3, 0, 4, 1, 0, 2, 2, 2, 0, 2, 3, 3, 3, 3, 2, 0, 0, 3, 3, 3, 2, 0, 4, 1, 4, 4, 1, 4, 2, 0, 3, 3, 4, 3, 0, 0, 3, 3, 1, 0, 0, 1, 3, 1, 3, 1, 1, 2, 3, 3, 0, 0, 0, 4, 3, 0, 3, 3, 2, 4, 2, 2, 1, 1, 1, 3, 3, 1, 1, 1, 4, 0, 4, 0, 2, 2, 3, 3, 1, 0, 2, 0, 0, 3, 3, 0, 2, 4, 2, 0, 0, 0, 1, 1, 2, 4, 2, 0, 1, 3, 1, 3, 0, 2, 1, 1, 1, 0, 1, 0, 1, 3, 2, 2, 1, 3, 1, 3, 0, 4, 4, 4, 2, 1, 0, 4, 3, 1, 4, 4, 1, 2, 2, 4, 4, 2, 0, 3, 2, 0, 0, 2, 2, 4, 0, 1, 2, 4, 3, 1, 4, 4, 3, 1, 3, 3, 2, 1, 0, 3, 0, 1, 4, 3, 1, 1, 2, 2, 3, 0, 0, 2, 1, 1, 3, 4, 2, 2, 0, 0, 3, 1, 0, 3, 0, 3, 2, 0, 3, 1, 3, 4, 4, 3, 0, 1, 3, 2, 1, 0, 1, 2, 1, 0, 3, 3, 1, 2, 2, 4, 1, 4, 3, 4, 1, 2, 4, 3, 4, 4, 0, 3, 0, 4, 0, 1, 4, 3, 0, 4, 3, 1, 0, 4, 4, 3, 1, 4, 4, 2, 0, 1, 4, 0, 0, 1, 4, 2, 4, 2, 0, 2, 3, 2, 4, 2, 4, 2, 1, 2, 2, 1, 1, 4, 4, 0, 1, 0, 3, 2, 1, 1, 0, 1, 3, 2, 4, 1, 3, 3, 0, 2, 0, 4, 0, 0, 3, 3, 1, 2, 4, 3, 1, 4, 4, 3, 1, 3, 2, 4, 1, 3, 4, 4, 2, 1, 3, 4, 0, 4, 4, 1, 4, 3, 2, 0, 4, 1, 4, 3, 4, 1, 4, 1, 0, 2, 4, 2, 2, 3, 4, 0, 3, 2, 3, 4, 3, 4, 0, 3, 4, 2, 0, 2, 3, 0, 4, 0, 2, 0, 2, 2, 1, 3, 2, 2, 1, 1, 0, 4, 2, 1, 2, 0, 2, 1, 3, 0, 0, 4, 0, 2, 3, 3, 4, 0, 2, 0, 3, 3, 3, 3, 3, 2, 0, 0, 3, 4, 1, 3, 2, 4, 1, 4, 4, 3, 4, 3, 1, 0, 0, 0, 2, 1, 4, 1, 4, 1, 3, 0, 1, 3, 1, 2, 0, 0, 2, 4, 2, 1, 4, 3, 4, 0, 0, 1, 0, 3, 0, 2, 3, 2, 4, 4, 3, 3, 3, 0, 0, 3, 4, 2, 3, 0, 1, 4, 2, 4, 1, 0, 4, 3, 3, 4, 2, 3, 2, 1, 4, 0, 1, 2, 2, 3, 4, 1, 4, 2, 1, 1, 0, 3, 4, 3, 0, 2, 2, 3, 3, 3, 2]
pubkeycol1677 = [2, 2, 0, 1, 4, 2, 3, 4, 2, 1, 2, 0, 0, 2, 1, 1, 3, 2, 1, 3, 0, 0, 0, 4, 4, 1, 1, 1, 4, 4, 0, 3, 1, 1, 4, 2, 4, 3, 0, 0, 3, 3, 1, 3, 2, 4, 1, 2, 4, 4, 4, 4, 3, 3, 4, 3, 0, 4, 2, 4, 2, 4, 3, 2, 0, 1, 0, 0, 1, 0, 3, 3, 0, 2, 1, 4, 0, 2, 2, 2, 3, 4, 0, 0, 0, 1, 4, 3, 0, 1, 3, 4, 3, 2, 1, 4, 4, 3, 2, 0, 0, 2, 1, 1, 1, 0, 3, 4, 4, 0, 1, 3, 0, 1, 0, 1, 0, 3, 2, 0, 0, 1, 3, 3, 4, 0, 2, 2, 1, 0, 2, 0, 1, 4, 0, 3, 2, 1, 1, 2, 0, 3, 4, 1, 3, 0, 3, 2, 2, 0, 3, 3, 2, 3, 3, 0, 4, 0, 4, 4, 1, 0, 0, 0, 4, 2, 3, 2, 0, 4, 0, 0, 4, 2, 0, 1, 3, 0, 2, 0, 0, 0, 3, 4, 4, 2, 2, 4, 0, 1, 2, 4, 0, 3, 0, 0, 3, 0, 0, 4, 4, 2, 0, 4, 3, 0, 1, 0, 1, 1, 0, 3, 3, 3, 2, 0, 3, 2, 4, 1, 1, 0, 2, 0, 2, 1, 4, 4, 3, 1, 3, 1, 0, 3, 2, 0, 3, 1, 0, 3, 3, 4, 0, 1, 3, 4, 3, 4, 0, 1, 4, 4, 2, 3, 4, 4, 2, 2, 1, 4, 3, 4, 2, 4, 2, 3, 1, 2, 4, 3, 2, 0, 4, 0, 0, 0, 1, 4, 0, 1, 1, 3, 3, 3, 1, 0, 4, 0, 4, 0, 2, 2, 4, 2, 0, 1, 1, 4, 2, 4, 3, 0, 2, 4, 0, 2, 2, 3, 0, 4, 4, 3, 0, 4, 0, 4, 1, 3, 0, 2, 2, 3, 4, 3, 3, 3, 4, 4, 1, 4, 4, 1, 0, 4, 2, 3, 2, 0, 4, 2, 4, 0, 3, 2, 2, 0, 2, 2, 3, 0, 1, 0, 1, 0, 4, 1, 4, 3, 3, 1, 2, 4, 1, 3, 1, 3, 3, 0, 3, 3, 0, 3, 4, 2, 1, 3, 0, 3, 0, 0, 3, 2, 1, 0, 4, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 4, 4, 1, 3, 1, 2, 2, 4, 0, 4, 0, 1, 3, 3, 1, 4, 1, 1, 3, 2, 0, 1, 4, 2, 3, 4, 4, 2, 1, 1, 2, 2, 3, 0, 0, 3, 2, 4, 0, 3, 1, 1, 2, 3, 0, 2, 1, 3, 4, 4, 4, 3, 2, 1, 0, 3, 2, 2, 2, 4, 2, 1, 4, 0, 3, 2, 4, 1, 0, 4, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 3, 4, 2, 2, 4, 4, 1, 2, 0, 3, 0, 2, 3, 2, 2, 2, 2, 1, 2, 3, 4, 1, 0, 0, 3]
pubkeycol1678 = [1, 3, 4, 1, 0, 0, 1, 0, 1, 2, 3, 0, 3, 2, 0, 2, 4, 3, 0, 3, 1, 0, 3, 3, 0, 4, 4, 4, 4, 2, 1, 2, 2, 1, 2, 0, 4, 3, 3, 1, 1, 3, 1, 4, 4, 2, 0, 1, 2, 2, 3, 4, 3, 2, 2, 3, 2, 0, 1, 0, 1, 4, 1, 4, 4, 2, 3, 2, 2, 1, 3, 4, 2, 3, 0, 2, 1, 3, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 3, 0, 4, 1, 1, 1, 1, 4, 3, 0, 4, 4, 0, 3, 3, 1, 2, 2, 0, 4, 4, 4, 4, 4, 0, 2, 4, 0, 4, 1, 3, 3, 4, 3, 1, 4, 4, 1, 3, 0, 2, 2, 1, 1, 0, 2, 2, 3, 0, 4, 2, 3, 2, 4, 4, 1, 4, 3, 4, 1, 3, 4, 2, 2, 0, 4, 3, 3, 3, 2, 2, 2, 3, 4, 1, 3, 2, 0, 1, 1, 4, 3, 3, 2, 3, 2, 1, 4, 2, 3, 0, 4, 2, 2, 4, 4, 1, 3, 0, 2, 4, 2, 3, 0, 1, 0, 0, 0, 0, 0, 1, 3, 1, 4, 0, 4, 0, 4, 4, 4, 3, 4, 0, 0, 1, 4, 2, 0, 1, 2, 2, 3, 0, 1, 1, 0, 3, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 3, 1, 1, 2, 1, 2, 2, 4, 4, 3, 2, 2, 0, 0, 1, 1, 4, 2, 1, 1, 3, 2, 0, 3, 3, 4, 4, 4, 0, 3, 3, 4, 4, 4, 0, 4, 1, 2, 1, 4, 3, 3, 1, 2, 1, 2, 1, 4, 3, 3, 1, 4, 0, 0, 3, 2, 2, 2, 3, 1, 3, 1, 1, 3, 0, 1, 3, 1, 0, 1, 0, 3, 3, 2, 2, 4, 1, 4, 0, 3, 0, 4, 2, 3, 0, 2, 4, 0, 0, 0, 2, 2, 3, 0, 3, 0, 3, 2, 1, 4, 4, 0, 2, 2, 1, 1, 1, 4, 4, 0, 2, 3, 0, 0, 4, 0, 0, 1, 3, 1, 4, 3, 1, 2, 3, 1, 1, 3, 2, 3, 2, 4, 0, 0, 4, 3, 4, 0, 3, 4, 2, 3, 3, 4, 1, 1, 3, 4, 1, 2, 1, 1, 3, 1, 2, 4, 1, 3, 3, 3, 0, 4, 4, 1, 2, 0, 4, 0, 0, 1, 0, 2, 3, 1, 1, 3, 2, 4, 3, 1, 1, 0, 2, 0, 4, 0, 4, 4, 0, 3, 0, 0, 2, 3, 1, 0, 2, 4, 0, 3, 1, 4, 0, 0, 0, 3, 4, 3, 1, 2, 3, 2, 2, 2, 0, 4, 3, 2, 1, 3, 2, 3, 0, 2, 4, 4, 2, 0, 1, 3, 2, 3, 1, 2, 2, 1, 3, 1, 0, 2, 2, 0, 3, 4, 2, 0, 1, 2, 2, 4, 2, 0, 4, 1, 2, 2, 3, 4, 1, 1, 4, 2, 1, 2, 4, 3]
pubkeycol1679 = [1, 2, 1, 1, 4, 3, 1, 0, 0, 1, 3, 0, 2, 4, 0, 3, 3, 3, 1, 0, 3, 4, 1, 1, 4, 3, 1, 1, 1, 0, 2, 3, 4, 4, 4, 4, 1, 4, 3, 1, 0, 1, 3, 1, 4, 1, 2, 3, 1, 3, 3, 3, 3, 4, 3, 3, 2, 2, 4, 4, 4, 2, 0, 3, 4, 3, 0, 0, 1, 1, 3, 3, 2, 1, 2, 0, 1, 2, 1, 0, 4, 3, 2, 1, 2, 2, 1, 2, 3, 1, 4, 3, 2, 3, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 3, 4, 4, 4, 0, 2, 4, 2, 3, 4, 2, 4, 1, 3, 0, 3, 2, 1, 3, 0, 2, 3, 2, 0, 1, 1, 0, 0, 4, 0, 2, 4, 0, 4, 3, 1, 2, 4, 3, 0, 2, 2, 2, 1, 1, 3, 1, 3, 2, 4, 1, 3, 2, 0, 0, 2, 3, 1, 0, 1, 2, 3, 3, 3, 4, 4, 4, 1, 4, 1, 0, 4, 4, 0, 0, 4, 3, 0, 1, 4, 2, 4, 3, 1, 4, 4, 1, 3, 4, 2, 3, 3, 4, 0, 1, 1, 3, 2, 1, 2, 3, 2, 1, 1, 4, 3, 2, 3, 1, 0, 0, 3, 2, 1, 3, 2, 2, 1, 4, 1, 2, 4, 2, 2, 3, 0, 1, 2, 3, 2, 0, 3, 0, 3, 0, 2, 3, 3, 3, 2, 4, 1, 2, 2, 4, 1, 0, 0, 3, 0, 0, 1, 1, 2, 2, 3, 2, 1, 0, 3, 3, 4, 2, 0, 2, 0, 2, 1, 4, 2, 4, 1, 0, 1, 2, 0, 2, 0, 1, 4, 0, 4, 4, 4, 2, 2, 0, 3, 1, 2, 4, 4, 3, 4, 1, 1, 0, 4, 3, 4, 4, 4, 4, 4, 4, 0, 2, 0, 1, 1, 2, 1, 0, 4, 2, 1, 0, 1, 0, 4, 2, 4, 2, 0, 3, 1, 1, 4, 4, 1, 1, 2, 1, 4, 1, 1, 3, 2, 4, 0, 4, 1, 0, 2, 0, 1, 2, 3, 4, 4, 2, 1, 1, 2, 2, 3, 1, 3, 0, 3, 0, 4, 0, 3, 3, 3, 2, 2, 0, 2, 4, 4, 2, 4, 4, 3, 3, 0, 3, 1, 0, 2, 2, 1, 3, 1, 0, 3, 3, 4, 3, 1, 1, 1, 4, 1, 3, 0, 2, 1, 2, 4, 2, 1, 1, 3, 4, 0, 1, 3, 2, 0, 0, 4, 2, 3, 0, 0, 4, 0, 3, 4, 2, 4, 0, 4, 0, 3, 4, 0, 1, 2, 0, 0, 3, 4, 4, 0, 0, 3, 3, 0, 2, 0, 2, 1, 4, 1, 0, 4, 0, 2, 4, 1, 2, 4, 4, 3, 2, 1, 4, 0, 1, 2, 0, 1, 2, 3, 3, 3, 2, 4, 3, 3, 4, 4, 4, 4, 4, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 1, 1, 3, 2, 4, 1, 4, 1]
pubkeycol1680 = [4, 2, 1, 0, 1, 2, 0, 2, 0, 4, 3, 1, 4, 2, 2, 4, 4, 4, 0, 0, 4, 3, 4, 3, 2, 0, 3, 1, 3, 3, 0, 1, 3, 0, 1, 2, 1, 2, 1, 4, 1, 4, 4, 3, 3, 1, 1, 0, 4, 4, 2, 0, 2, 3, 2, 3, 1, 3, 2, 2, 0, 1, 4, 0, 1, 0, 3, 3, 0, 2, 4, 2, 3, 1, 2, 4, 4, 0, 3, 0, 4, 2, 2, 3, 3, 0, 0, 3, 4, 2, 4, 4, 4, 3, 4, 2, 3, 0, 0, 1, 1, 4, 2, 0, 0, 1, 3, 2, 4, 2, 0, 4, 0, 3, 2, 1, 1, 1, 0, 1, 0, 0, 2, 4, 3, 1, 1, 2, 4, 1, 0, 4, 4, 0, 1, 4, 0, 0, 3, 3, 3, 0, 0, 4, 0, 2, 0, 4, 4, 4, 2, 3, 4, 2, 1, 2, 4, 1, 4, 3, 2, 0, 3, 1, 2, 4, 3, 3, 1, 4, 4, 3, 1, 0, 2, 2, 4, 4, 2, 4, 0, 1, 2, 3, 3, 0, 1, 0, 1, 2, 2, 0, 2, 2, 4, 0, 2, 3, 4, 1, 0, 0, 3, 1, 1, 0, 1, 2, 3, 3, 3, 3, 4, 0, 3, 3, 3, 2, 2, 0, 2, 0, 3, 1, 0, 1, 0, 4, 3, 3, 3, 3, 2, 2, 4, 1, 3, 1, 3, 0, 2, 3, 0, 1, 0, 1, 3, 2, 1, 3, 3, 4, 3, 2, 3, 4, 3, 2, 0, 1, 1, 3, 3, 1, 4, 1, 2, 4, 3, 1, 0, 0, 2, 3, 1, 2, 4, 1, 2, 1, 1, 3, 1, 4, 0, 4, 4, 0, 1, 2, 2, 4, 3, 3, 0, 3, 4, 2, 3, 0, 4, 0, 0, 4, 1, 1, 3, 0, 1, 1, 2, 3, 0, 4, 2, 2, 0, 4, 1, 0, 4, 1, 3, 0, 1, 2, 1, 1, 3, 2, 4, 2, 3, 2, 3, 1, 2, 1, 4, 3, 2, 2, 4, 2, 2, 4, 3, 2, 3, 3, 0, 2, 0, 3, 1, 0, 3, 1, 0, 1, 1, 2, 0, 3, 3, 4, 1, 1, 3, 1, 3, 2, 3, 3, 1, 1, 0, 1, 4, 0, 4, 3, 3, 0, 1, 2, 3, 3, 0, 2, 0, 4, 4, 4, 1, 3, 4, 4, 3, 0, 1, 2, 0, 3, 1, 2, 4, 0, 3, 1, 4, 4, 0, 2, 3, 2, 2, 0, 2, 3, 2, 2, 2, 2, 1, 4, 0, 1, 0, 1, 0, 3, 0, 2, 2, 1, 4, 2, 3, 4, 2, 1, 1, 4, 1, 1, 1, 2, 3, 0, 4, 3, 1, 4, 4, 4, 1, 1, 0, 1, 4, 4, 3, 4, 2, 3, 1, 2, 1, 3, 4, 2, 1, 3, 1, 3, 2, 0, 0, 2, 2, 4, 4, 0, 1, 0, 0, 0, 4, 1, 3, 4, 2, 2, 1, 0, 4, 1, 2, 2, 2, 0, 4, 4, 2]
pubkeycol1681 = [0, 0, 0, 0, 1, 3, 1, 0, 1, 2, 2, 1, 2, 0, 1, 4, 2, 2, 1, 1, 0, 1, 2, 2, 4, 3, 1, 4, 4, 1, 2, 1, 1, 2, 1, 3, 2, 4, 0, 0, 4, 0, 0, 2, 4, 0, 4, 0, 4, 3, 0, 2, 0, 0, 4, 4, 1, 2, 1, 2, 0, 0, 2, 2, 3, 1, 0, 0, 4, 0, 1, 2, 4, 3, 2, 4, 3, 4, 0, 2, 3, 2, 4, 2, 3, 3, 1, 0, 3, 2, 0, 4, 4, 4, 2, 4, 0, 4, 1, 0, 1, 4, 2, 3, 0, 2, 0, 0, 1, 3, 1, 0, 4, 4, 3, 2, 2, 1, 3, 2, 1, 1, 2, 3, 2, 0, 4, 1, 3, 3, 4, 2, 1, 2, 4, 2, 0, 1, 4, 4, 3, 0, 0, 4, 2, 1, 3, 0, 0, 1, 4, 1, 3, 1, 2, 2, 0, 2, 0, 4, 4, 0, 1, 2, 1, 2, 2, 4, 2, 0, 4, 0, 3, 2, 0, 2, 0, 0, 2, 0, 3, 0, 1, 1, 4, 2, 2, 4, 4, 1, 2, 0, 2, 3, 0, 4, 4, 0, 3, 0, 3, 2, 1, 1, 4, 2, 2, 0, 4, 0, 2, 0, 4, 4, 3, 3, 3, 1, 1, 4, 0, 2, 1, 0, 4, 4, 3, 0, 4, 3, 0, 1, 4, 4, 1, 2, 0, 0, 4, 3, 3, 0, 2, 3, 0, 4, 1, 2, 4, 4, 4, 2, 3, 3, 0, 0, 0, 0, 0, 1, 3, 2, 0, 1, 1, 1, 2, 2, 2, 3, 3, 2, 0, 2, 1, 4, 0, 0, 2, 2, 1, 0, 3, 2, 1, 0, 3, 2, 2, 4, 1, 4, 3, 4, 3, 1, 3, 4, 2, 2, 4, 1, 3, 0, 2, 2, 2, 4, 1, 0, 4, 1, 0, 0, 3, 3, 3, 0, 2, 3, 1, 4, 0, 2, 1, 1, 2, 3, 2, 4, 1, 0, 3, 4, 1, 2, 0, 3, 1, 2, 4, 1, 0, 3, 0, 4, 3, 0, 0, 3, 1, 1, 4, 4, 1, 4, 2, 2, 1, 3, 0, 1, 1, 2, 2, 0, 4, 1, 4, 3, 3, 4, 4, 3, 2, 4, 3, 0, 0, 0, 4, 2, 2, 4, 4, 1, 4, 1, 2, 3, 4, 0, 4, 3, 4, 1, 3, 1, 1, 2, 0, 2, 4, 1, 4, 4, 2, 0, 0, 2, 4, 4, 4, 0, 0, 1, 1, 1, 1, 4, 4, 0, 1, 3, 2, 1, 2, 0, 1, 2, 3, 0, 1, 2, 4, 1, 4, 4, 1, 1, 2, 0, 1, 4, 0, 4, 0, 3, 4, 3, 2, 3, 0, 2, 3, 3, 3, 3, 3, 4, 4, 3, 2, 1, 2, 0, 4, 3, 4, 0, 1, 1, 4, 0, 0, 1, 4, 4, 2, 4, 1, 1, 0, 3, 1, 2, 0, 2, 2, 2, 4, 0, 1, 0, 1, 3, 2, 1, 0, 1, 0, 4, 4, 3, 1]
pubkeycol1682 = [1, 1, 4, 1, 0, 1, 0, 0, 0, 1, 4, 0, 1, 0, 1, 4, 1, 3, 2, 3, 2, 1, 0, 1, 1, 2, 1, 4, 3, 2, 3, 4, 4, 0, 1, 4, 2, 4, 0, 2, 4, 3, 1, 1, 2, 3, 4, 4, 2, 2, 4, 2, 4, 1, 3, 4, 1, 3, 2, 1, 1, 1, 1, 1, 4, 4, 4, 4, 3, 2, 3, 3, 0, 4, 0, 4, 3, 1, 1, 4, 4, 2, 0, 3, 4, 4, 3, 2, 4, 1, 3, 2, 2, 2, 4, 4, 4, 0, 4, 1, 2, 2, 3, 3, 1, 2, 1, 2, 3, 0, 3, 4, 3, 2, 1, 1, 2, 1, 4, 2, 3, 1, 4, 2, 3, 0, 0, 0, 2, 3, 2, 0, 3, 2, 1, 2, 0, 0, 0, 4, 0, 3, 4, 4, 2, 2, 2, 4, 3, 4, 4, 4, 0, 4, 4, 2, 1, 0, 1, 4, 3, 3, 1, 1, 3, 2, 1, 1, 2, 3, 1, 0, 0, 2, 1, 4, 2, 0, 1, 0, 0, 4, 0, 4, 2, 0, 2, 4, 1, 2, 2, 0, 3, 3, 3, 2, 1, 3, 0, 0, 3, 3, 1, 2, 2, 4, 4, 4, 1, 3, 1, 0, 2, 2, 3, 0, 3, 2, 4, 2, 2, 3, 0, 2, 2, 0, 1, 0, 3, 0, 0, 2, 1, 3, 4, 1, 4, 2, 2, 3, 2, 2, 2, 1, 0, 4, 0, 3, 2, 3, 0, 0, 3, 4, 3, 1, 0, 1, 4, 1, 2, 3, 0, 4, 2, 2, 0, 1, 2, 4, 1, 4, 1, 4, 0, 2, 2, 3, 4, 3, 1, 4, 4, 4, 1, 2, 2, 4, 2, 3, 3, 2, 2, 4, 1, 2, 4, 2, 2, 4, 2, 4, 2, 0, 4, 3, 4, 3, 3, 2, 3, 2, 0, 1, 0, 4, 2, 4, 1, 3, 2, 0, 0, 3, 1, 4, 3, 3, 4, 1, 4, 2, 4, 4, 0, 2, 4, 0, 0, 3, 3, 2, 2, 0, 3, 0, 1, 0, 3, 0, 4, 3, 3, 3, 2, 1, 0, 0, 1, 3, 2, 4, 3, 1, 0, 0, 3, 3, 1, 2, 1, 0, 1, 3, 3, 0, 2, 4, 2, 4, 3, 3, 2, 0, 4, 4, 1, 0, 2, 0, 2, 3, 2, 0, 2, 4, 2, 4, 1, 2, 3, 2, 4, 1, 3, 1, 3, 4, 2, 0, 4, 3, 3, 0, 3, 1, 1, 2, 2, 0, 0, 3, 3, 2, 4, 2, 3, 1, 0, 2, 3, 2, 3, 3, 1, 2, 3, 2, 3, 3, 1, 3, 0, 4, 3, 3, 0, 1, 3, 0, 3, 1, 0, 0, 1, 2, 1, 2, 0, 0, 4, 0, 3, 4, 1, 2, 0, 2, 0, 4, 4, 4, 4, 0, 1, 1, 4, 2, 4, 1, 3, 4, 2, 4, 2, 1, 4, 1, 2, 3, 4, 2, 4, 3, 0, 4, 0, 4, 2, 0, 3, 4, 4, 4, 4]
pubkeycol1683 = [1, 4, 1, 0, 1, 0, 0, 1, 2, 2, 4, 2, 2, 3, 1, 0, 1, 1, 1, 2, 3, 2, 0, 0, 3, 1, 3, 3, 1, 1, 4, 1, 4, 2, 3, 3, 0, 3, 1, 2, 4, 3, 1, 3, 1, 3, 2, 4, 4, 2, 2, 2, 3, 0, 2, 2, 3, 1, 1, 1, 4, 4, 4, 4, 0, 0, 4, 3, 4, 3, 4, 4, 3, 1, 3, 0, 3, 3, 1, 0, 2, 4, 4, 2, 4, 2, 0, 0, 2, 2, 4, 3, 0, 0, 3, 1, 4, 3, 1, 2, 4, 1, 4, 0, 2, 0, 0, 2, 2, 4, 4, 0, 0, 2, 2, 2, 4, 0, 1, 2, 1, 3, 3, 4, 2, 1, 4, 1, 4, 3, 0, 0, 4, 4, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 3, 4, 3, 0, 0, 1, 3, 4, 3, 2, 4, 4, 1, 2, 4, 0, 3, 0, 2, 0, 1, 3, 2, 4, 4, 4, 2, 3, 3, 3, 4, 0, 1, 1, 4, 4, 4, 0, 4, 3, 4, 0, 0, 3, 0, 2, 1, 0, 4, 0, 4, 2, 3, 3, 2, 1, 2, 0, 1, 1, 3, 4, 4, 1, 2, 0, 1, 2, 3, 4, 4, 1, 1, 0, 1, 4, 4, 1, 4, 1, 3, 0, 0, 2, 3, 2, 0, 1, 3, 0, 3, 2, 0, 3, 0, 0, 1, 0, 3, 3, 0, 2, 2, 2, 4, 0, 4, 1, 3, 4, 3, 0, 0, 3, 2, 0, 4, 1, 0, 1, 2, 0, 1, 2, 1, 2, 3, 4, 1, 4, 2, 4, 0, 1, 4, 1, 4, 0, 4, 2, 1, 2, 3, 2, 4, 3, 1, 2, 1, 0, 2, 3, 4, 3, 0, 2, 1, 0, 1, 2, 3, 1, 4, 1, 2, 3, 1, 2, 0, 1, 2, 3, 4, 4, 4, 3, 3, 1, 4, 1, 0, 3, 2, 3, 4, 3, 2, 3, 4, 0, 2, 4, 1, 2, 3, 2, 2, 3, 4, 2, 2, 3, 1, 2, 4, 1, 4, 3, 0, 4, 4, 2, 3, 0, 0, 1, 4, 0, 1, 1, 3, 3, 1, 2, 2, 3, 3, 1, 3, 1, 4, 0, 3, 0, 3, 4, 3, 3, 0, 2, 4, 1, 3, 3, 1, 3, 1, 3, 0, 1, 2, 3, 4, 4, 0, 1, 1, 0, 3, 0, 4, 3, 1, 4, 0, 3, 2, 1, 2, 4, 3, 3, 0, 0, 2, 4, 3, 3, 1, 4, 4, 0, 4, 3, 0, 2, 0, 0, 0, 3, 0, 3, 4, 0, 0, 0, 2, 0, 2, 4, 3, 3, 0, 2, 0, 4, 3, 3, 3, 4, 4, 3, 1, 4, 2, 2, 2, 0, 2, 0, 4, 0, 3, 1, 1, 4, 2, 0, 0, 1, 2, 1, 4, 3, 3, 1, 4, 2, 1, 1, 4, 1, 2, 3, 4, 2, 0, 0, 4, 4, 1, 3, 1, 3, 1, 4, 3, 3, 2]
pubkeycol1684 = [3, 0, 0, 0, 0, 1, 1, 2, 0, 4, 3, 0, 1, 4, 0, 4, 2, 2, 3, 0, 3, 4, 0, 3, 0, 3, 4, 0, 3, 2, 1, 3, 0, 2, 2, 1, 2, 3, 2, 4, 4, 1, 0, 3, 0, 0, 4, 4, 4, 0, 2, 0, 4, 2, 4, 2, 4, 1, 2, 3, 2, 4, 2, 4, 4, 2, 0, 0, 1, 2, 3, 3, 2, 3, 2, 0, 4, 3, 2, 2, 1, 1, 3, 4, 1, 4, 0, 2, 3, 2, 0, 4, 0, 0, 4, 2, 1, 2, 4, 2, 0, 1, 1, 3, 1, 4, 1, 4, 3, 2, 3, 4, 1, 2, 1, 1, 1, 3, 0, 3, 4, 3, 4, 4, 3, 1, 1, 2, 0, 2, 1, 3, 0, 4, 4, 0, 0, 2, 1, 1, 3, 2, 2, 4, 2, 4, 2, 2, 1, 4, 1, 1, 3, 2, 0, 2, 2, 4, 1, 3, 1, 4, 3, 0, 1, 0, 4, 0, 4, 4, 3, 4, 2, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 1, 2, 3, 3, 2, 4, 1, 1, 1, 3, 2, 4, 4, 1, 3, 1, 4, 4, 3, 3, 1, 3, 3, 0, 1, 1, 1, 2, 3, 3, 4, 3, 2, 1, 0, 2, 3, 2, 2, 1, 2, 3, 1, 3, 0, 0, 1, 3, 2, 0, 4, 2, 1, 2, 1, 3, 0, 4, 2, 2, 3, 0, 0, 0, 0, 1, 2, 3, 4, 1, 3, 4, 4, 0, 3, 2, 0, 0, 4, 2, 4, 1, 3, 2, 4, 0, 4, 2, 2, 4, 1, 4, 3, 0, 1, 1, 1, 3, 1, 3, 2, 3, 0, 2, 0, 3, 3, 4, 1, 1, 1, 0, 1, 4, 2, 1, 4, 4, 1, 2, 0, 0, 3, 4, 2, 1, 3, 2, 4, 0, 1, 0, 4, 0, 2, 2, 2, 4, 4, 3, 1, 1, 2, 2, 3, 0, 3, 1, 4, 3, 4, 1, 1, 3, 1, 1, 2, 4, 2, 4, 0, 3, 0, 2, 0, 1, 1, 0, 4, 3, 1, 0, 2, 0, 2, 2, 2, 1, 2, 3, 4, 0, 2, 4, 2, 1, 4, 0, 0, 2, 3, 0, 3, 4, 3, 0, 4, 3, 0, 4, 0, 2, 0, 2, 2, 3, 0, 4, 1, 4, 2, 4, 3, 2, 1, 0, 4, 0, 4, 2, 4, 4, 0, 3, 0, 0, 3, 3, 1, 3, 2, 4, 2, 4, 3, 2, 4, 2, 1, 4, 3, 2, 3, 3, 0, 2, 4, 4, 2, 1, 3, 1, 1, 1, 2, 0, 2, 1, 0, 3, 0, 3, 1, 4, 4, 4, 1, 3, 1, 0, 3, 4, 0, 3, 1, 3, 0, 0, 0, 2, 2, 2, 1, 3, 4, 3, 4, 3, 2, 1, 0, 0, 3, 0, 1, 0, 3, 1, 4, 2, 1, 2, 4, 0, 4, 2, 0, 2, 3, 3, 3, 2, 3, 4, 0, 4, 4, 0, 2, 4, 0]
pubkeycol1685 = [1, 2, 3, 3, 3, 3, 1, 4, 2, 4, 2, 3, 1, 2, 2, 3, 3, 2, 4, 0, 1, 2, 0, 0, 2, 0, 3, 3, 0, 3, 3, 3, 2, 3, 4, 4, 0, 3, 0, 4, 3, 1, 0, 1, 1, 1, 2, 3, 2, 0, 0, 3, 4, 4, 4, 3, 3, 2, 2, 1, 4, 1, 1, 2, 4, 2, 0, 4, 4, 0, 2, 0, 1, 3, 0, 3, 2, 1, 4, 4, 0, 2, 0, 4, 2, 2, 0, 0, 3, 0, 1, 2, 1, 3, 0, 1, 2, 0, 2, 3, 0, 4, 0, 0, 4, 1, 2, 3, 4, 2, 2, 3, 4, 1, 1, 1, 2, 3, 0, 3, 0, 1, 1, 0, 0, 4, 2, 4, 1, 0, 1, 3, 0, 2, 3, 3, 3, 2, 0, 0, 3, 0, 4, 0, 3, 2, 1, 0, 1, 1, 1, 4, 4, 1, 3, 2, 4, 3, 4, 4, 1, 0, 1, 0, 2, 3, 4, 0, 2, 0, 3, 4, 4, 1, 3, 0, 1, 2, 0, 3, 4, 3, 4, 0, 2, 1, 2, 1, 4, 4, 3, 3, 4, 4, 0, 2, 0, 2, 3, 3, 0, 3, 4, 2, 1, 3, 2, 1, 1, 2, 3, 3, 3, 3, 3, 4, 0, 1, 2, 0, 0, 2, 1, 2, 3, 3, 0, 4, 4, 3, 3, 3, 3, 0, 3, 2, 1, 0, 2, 4, 4, 0, 3, 0, 3, 1, 3, 2, 0, 3, 3, 1, 2, 3, 1, 0, 0, 2, 1, 0, 4, 0, 2, 3, 0, 4, 0, 2, 1, 4, 4, 3, 4, 4, 4, 3, 2, 0, 1, 4, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 3, 2, 4, 3, 2, 1, 2, 3, 1, 2, 1, 2, 0, 0, 4, 2, 3, 4, 0, 2, 1, 1, 0, 1, 3, 0, 2, 2, 3, 2, 4, 1, 4, 2, 1, 2, 0, 4, 3, 1, 2, 0, 4, 1, 2, 2, 3, 3, 0, 2, 4, 4, 0, 2, 3, 4, 3, 1, 4, 1, 2, 0, 4, 1, 1, 1, 0, 3, 3, 4, 2, 3, 0, 3, 0, 4, 2, 2, 3, 4, 0, 2, 3, 4, 0, 2, 0, 1, 0, 1, 1, 0, 2, 3, 2, 2, 1, 1, 4, 4, 3, 2, 0, 2, 2, 1, 1, 1, 1, 4, 2, 3, 1, 0, 3, 2, 0, 0, 3, 1, 2, 0, 4, 3, 1, 2, 1, 3, 4, 2, 3, 1, 0, 1, 1, 1, 1, 3, 3, 1, 2, 4, 4, 0, 1, 2, 3, 2, 2, 1, 1, 3, 0, 4, 3, 3, 1, 4, 4, 1, 0, 2, 0, 3, 4, 0, 1, 1, 3, 4, 4, 3, 3, 0, 3, 1, 3, 1, 2, 2, 4, 2, 2, 2, 1, 1, 3, 4, 0, 2, 1, 4, 0, 2, 3, 2, 0, 3, 0, 0, 0, 2, 3, 3, 4, 2, 0, 4, 2, 2, 0, 0, 1, 0, 2]
pubkeycol1686 = [4, 1, 1, 0, 2, 2, 1, 4, 3, 3, 2, 4, 3, 0, 2, 1, 0, 2, 2, 3, 3, 2, 4, 4, 4, 4, 0, 4, 1, 4, 3, 4, 3, 3, 4, 4, 3, 1, 4, 2, 2, 0, 2, 1, 0, 3, 2, 2, 1, 2, 2, 0, 4, 3, 4, 3, 4, 1, 4, 3, 3, 4, 2, 3, 3, 3, 4, 4, 1, 4, 0, 4, 0, 4, 4, 2, 4, 2, 3, 3, 4, 1, 4, 4, 2, 2, 0, 2, 4, 1, 3, 0, 4, 4, 3, 4, 1, 4, 4, 1, 4, 4, 3, 1, 2, 2, 4, 0, 4, 3, 2, 0, 1, 2, 2, 3, 1, 4, 1, 0, 2, 4, 0, 2, 2, 1, 4, 3, 2, 4, 2, 0, 3, 0, 4, 2, 3, 4, 4, 3, 4, 0, 3, 1, 1, 1, 4, 0, 1, 0, 3, 3, 3, 1, 1, 0, 4, 0, 4, 4, 2, 2, 4, 4, 0, 0, 3, 2, 2, 0, 3, 1, 1, 2, 1, 2, 3, 4, 1, 1, 0, 2, 4, 0, 0, 1, 3, 4, 1, 0, 0, 2, 3, 3, 0, 2, 3, 1, 3, 1, 4, 4, 3, 1, 2, 3, 2, 3, 3, 4, 2, 3, 4, 2, 2, 2, 1, 2, 1, 3, 2, 2, 2, 2, 1, 3, 0, 1, 4, 1, 4, 0, 0, 3, 1, 0, 3, 0, 1, 3, 3, 0, 1, 4, 4, 4, 2, 3, 1, 1, 0, 3, 3, 4, 2, 3, 2, 3, 3, 0, 0, 3, 4, 0, 1, 2, 3, 3, 0, 0, 3, 3, 0, 4, 4, 1, 1, 3, 2, 0, 1, 2, 1, 0, 3, 2, 0, 2, 4, 0, 4, 4, 4, 2, 3, 0, 3, 2, 4, 1, 0, 3, 4, 3, 1, 4, 2, 2, 2, 4, 2, 0, 4, 1, 0, 4, 0, 4, 0, 1, 1, 2, 2, 0, 0, 1, 2, 3, 1, 1, 1, 0, 1, 0, 4, 2, 4, 0, 0, 4, 3, 0, 3, 4, 4, 1, 2, 1, 2, 4, 4, 2, 2, 3, 0, 3, 0, 0, 2, 2, 4, 0, 4, 0, 0, 3, 1, 3, 1, 3, 2, 0, 4, 4, 0, 3, 1, 0, 1, 4, 2, 1, 2, 2, 1, 3, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 1, 3, 4, 2, 3, 2, 0, 3, 3, 4, 0, 2, 4, 4, 1, 2, 4, 4, 0, 3, 4, 3, 2, 2, 4, 0, 2, 1, 1, 2, 3, 2, 1, 4, 4, 0, 4, 1, 1, 4, 4, 4, 1, 0, 2, 0, 1, 1, 2, 2, 3, 0, 0, 2, 3, 0, 4, 3, 4, 1, 3, 2, 4, 0, 4, 3, 0, 4, 0, 1, 3, 4, 0, 1, 3, 0, 1, 2, 1, 1, 2, 2, 1, 3, 3, 2, 3, 1, 4, 1, 3, 2, 0, 4, 2, 0, 0, 3, 1, 4, 0, 0, 3, 4, 2, 0, 4, 1]
pubkeycol1687 = [1, 3, 3, 1, 2, 4, 4, 4, 1, 4, 0, 3, 2, 0, 1, 2, 1, 4, 3, 1, 4, 2, 4, 2, 3, 0, 2, 2, 2, 3, 0, 3, 4, 2, 4, 4, 0, 2, 3, 0, 1, 3, 2, 0, 2, 0, 0, 3, 4, 0, 3, 2, 2, 1, 2, 4, 3, 1, 3, 0, 4, 3, 0, 1, 3, 0, 1, 4, 3, 3, 1, 0, 0, 0, 0, 3, 2, 2, 1, 0, 3, 0, 2, 3, 1, 0, 3, 4, 0, 1, 2, 3, 2, 4, 0, 2, 0, 4, 2, 4, 2, 4, 3, 3, 1, 1, 4, 1, 2, 2, 2, 4, 2, 3, 3, 0, 3, 2, 4, 1, 3, 1, 0, 0, 0, 0, 4, 1, 0, 4, 1, 1, 1, 4, 0, 1, 3, 3, 3, 2, 4, 4, 0, 1, 1, 0, 4, 3, 2, 3, 0, 2, 4, 0, 0, 2, 3, 2, 3, 3, 3, 2, 3, 2, 1, 4, 0, 4, 1, 2, 2, 0, 4, 2, 4, 0, 3, 1, 3, 0, 3, 3, 1, 1, 4, 0, 4, 2, 1, 4, 1, 1, 3, 4, 1, 1, 3, 2, 3, 3, 1, 0, 0, 2, 2, 2, 0, 1, 1, 3, 1, 1, 1, 2, 4, 3, 3, 4, 3, 4, 2, 0, 1, 0, 2, 2, 1, 3, 3, 4, 2, 3, 3, 4, 2, 1, 4, 2, 1, 3, 0, 4, 3, 3, 0, 3, 2, 0, 3, 1, 0, 1, 2, 3, 1, 4, 3, 1, 4, 0, 4, 1, 2, 3, 0, 2, 4, 2, 4, 2, 4, 1, 4, 3, 0, 0, 2, 2, 3, 3, 1, 3, 4, 3, 3, 1, 3, 4, 3, 0, 1, 1, 2, 2, 2, 0, 3, 3, 1, 1, 1, 0, 0, 2, 2, 4, 4, 2, 3, 2, 0, 3, 3, 3, 2, 1, 4, 0, 0, 0, 2, 0, 1, 0, 2, 0, 4, 0, 3, 4, 3, 3, 1, 4, 1, 0, 0, 0, 0, 0, 3, 4, 1, 0, 1, 3, 0, 1, 3, 3, 4, 3, 1, 3, 4, 4, 3, 0, 4, 2, 3, 1, 3, 3, 1, 1, 4, 4, 4, 0, 2, 2, 4, 1, 1, 1, 0, 0, 3, 4, 4, 2, 2, 4, 0, 4, 1, 0, 1, 4, 2, 1, 0, 4, 0, 3, 2, 0, 4, 3, 1, 0, 3, 0, 2, 3, 4, 0, 3, 4, 1, 1, 4, 2, 3, 0, 4, 2, 2, 0, 1, 1, 3, 1, 0, 3, 1, 4, 1, 4, 2, 2, 4, 1, 2, 0, 0, 4, 1, 0, 1, 3, 2, 0, 0, 0, 0, 3, 2, 3, 0, 3, 3, 4, 2, 3, 2, 2, 0, 1, 3, 2, 4, 0, 0, 3, 1, 1, 2, 3, 3, 0, 0, 0, 4, 0, 4, 4, 1, 1, 0, 3, 1, 3, 4, 2, 2, 2, 2, 0, 4, 0, 3, 2, 3, 0, 2, 1, 3, 1, 4, 3, 4, 2, 2]
pubkeycol1688 = [3, 3, 4, 0, 2, 3, 2, 4, 2, 4, 2, 1, 4, 0, 2, 1, 1, 2, 3, 2, 3, 2, 0, 3, 1, 1, 0, 3, 2, 3, 3, 1, 3, 4, 1, 1, 3, 4, 4, 3, 1, 3, 4, 2, 4, 1, 4, 3, 4, 3, 0, 2, 2, 3, 2, 1, 3, 3, 0, 2, 4, 0, 0, 2, 1, 3, 1, 0, 2, 4, 0, 3, 4, 1, 0, 1, 2, 1, 2, 1, 3, 2, 2, 1, 2, 3, 1, 4, 2, 0, 1, 3, 1, 0, 1, 4, 1, 1, 3, 0, 1, 2, 2, 1, 3, 4, 2, 2, 2, 0, 2, 3, 2, 0, 2, 2, 1, 1, 3, 0, 1, 4, 2, 1, 3, 0, 1, 2, 1, 2, 1, 3, 1, 1, 4, 0, 0, 1, 3, 3, 0, 0, 0, 4, 1, 0, 4, 0, 2, 0, 1, 0, 0, 3, 1, 4, 0, 3, 2, 3, 3, 2, 0, 3, 1, 4, 0, 2, 0, 3, 3, 1, 3, 1, 1, 1, 2, 1, 2, 2, 3, 1, 3, 1, 0, 2, 0, 1, 1, 2, 4, 4, 2, 4, 4, 3, 4, 3, 0, 3, 0, 1, 4, 1, 4, 3, 4, 4, 2, 4, 3, 1, 2, 4, 4, 2, 1, 2, 4, 4, 2, 1, 0, 4, 1, 0, 2, 0, 3, 4, 3, 4, 3, 0, 0, 1, 1, 0, 0, 0, 3, 2, 2, 4, 3, 2, 4, 3, 1, 3, 0, 0, 3, 1, 2, 4, 1, 4, 0, 3, 2, 3, 2, 0, 1, 1, 1, 4, 2, 4, 0, 2, 1, 3, 3, 4, 2, 1, 4, 2, 1, 3, 4, 0, 1, 1, 4, 2, 0, 4, 1, 3, 0, 3, 3, 4, 3, 2, 1, 2, 2, 3, 0, 2, 1, 1, 3, 1, 3, 3, 3, 0, 4, 1, 2, 1, 3, 3, 4, 2, 1, 4, 2, 1, 1, 3, 3, 4, 1, 1, 2, 3, 3, 2, 2, 0, 0, 0, 2, 4, 1, 2, 0, 1, 4, 1, 3, 0, 0, 3, 3, 4, 1, 3, 1, 3, 1, 2, 1, 4, 0, 3, 1, 0, 4, 2, 0, 0, 1, 1, 2, 0, 3, 2, 3, 2, 0, 3, 0, 0, 0, 1, 4, 2, 4, 1, 0, 3, 4, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 3, 1, 1, 2, 4, 1, 0, 3, 4, 3, 0, 1, 2, 1, 1, 1, 2, 1, 3, 2, 0, 2, 2, 0, 1, 0, 3, 2, 2, 4, 0, 2, 4, 0, 0, 2, 4, 4, 1, 3, 0, 4, 0, 2, 1, 4, 1, 1, 1, 4, 4, 3, 2, 3, 4, 1, 0, 3, 4, 2, 2, 0, 0, 4, 3, 3, 4, 3, 2, 1, 0, 1, 3, 2, 0, 1, 1, 2, 1, 3, 1, 0, 3, 4, 3, 2, 1, 3, 1, 2, 2, 4, 2, 1, 3, 2, 0, 2, 1, 1, 0, 0]
pubkeycol1689 = [3, 3, 2, 3, 4, 3, 2, 0, 2, 4, 0, 3, 1, 4, 2, 0, 1, 0, 3, 0, 1, 2, 4, 4, 1, 0, 1, 4, 3, 1, 0, 0, 1, 4, 3, 3, 4, 3, 2, 1, 4, 1, 4, 0, 2, 2, 2, 4, 3, 0, 2, 2, 3, 0, 1, 4, 1, 2, 3, 4, 2, 3, 2, 1, 0, 4, 1, 2, 0, 2, 3, 4, 4, 1, 4, 4, 1, 1, 2, 4, 1, 2, 0, 3, 1, 1, 0, 1, 3, 4, 4, 3, 4, 4, 1, 0, 3, 0, 3, 4, 2, 0, 0, 3, 4, 2, 3, 1, 4, 1, 0, 0, 4, 0, 4, 2, 0, 3, 3, 1, 3, 0, 2, 4, 4, 2, 3, 1, 3, 2, 2, 0, 4, 2, 0, 3, 2, 0, 4, 2, 2, 3, 3, 4, 4, 0, 1, 3, 0, 3, 4, 1, 2, 0, 0, 1, 0, 3, 0, 0, 3, 1, 4, 0, 0, 3, 0, 2, 1, 1, 1, 3, 3, 2, 4, 4, 1, 4, 3, 2, 0, 2, 3, 4, 2, 0, 3, 1, 4, 3, 4, 2, 1, 0, 3, 4, 4, 2, 0, 3, 2, 3, 2, 1, 4, 0, 4, 0, 0, 1, 0, 0, 3, 1, 1, 1, 0, 4, 0, 0, 2, 3, 4, 1, 1, 1, 2, 2, 2, 2, 4, 0, 0, 0, 1, 0, 4, 4, 0, 4, 2, 0, 4, 2, 2, 2, 1, 4, 1, 2, 4, 1, 0, 3, 0, 3, 2, 2, 1, 4, 2, 1, 4, 4, 2, 0, 3, 4, 3, 4, 2, 1, 0, 2, 4, 1, 4, 0, 0, 4, 2, 3, 3, 0, 3, 2, 2, 3, 1, 0, 4, 0, 4, 2, 2, 4, 1, 3, 2, 3, 2, 0, 4, 2, 1, 0, 1, 1, 1, 4, 4, 3, 4, 3, 4, 2, 2, 0, 3, 1, 0, 4, 3, 4, 0, 1, 2, 2, 3, 0, 3, 0, 4, 2, 3, 4, 0, 4, 3, 4, 1, 3, 3, 1, 3, 0, 0, 1, 0, 0, 0, 1, 3, 2, 4, 4, 0, 3, 4, 4, 0, 1, 3, 0, 4, 1, 2, 4, 0, 4, 1, 2, 2, 3, 4, 2, 0, 3, 4, 2, 1, 4, 1, 3, 1, 1, 0, 4, 3, 2, 0, 1, 2, 4, 4, 4, 1, 4, 4, 3, 4, 1, 3, 2, 0, 4, 1, 0, 4, 4, 4, 4, 3, 2, 0, 4, 1, 0, 0, 1, 0, 4, 3, 3, 4, 0, 1, 3, 3, 2, 0, 4, 0, 0, 0, 1, 4, 4, 4, 0, 1, 0, 3, 0, 2, 1, 2, 1, 3, 1, 4, 1, 3, 1, 3, 4, 2, 2, 4, 1, 0, 4, 4, 4, 1, 0, 4, 0, 0, 4, 0, 2, 3, 2, 4, 0, 1, 0, 4, 4, 2, 2, 0, 2, 2, 3, 1, 4, 4, 1, 2, 2, 1, 3, 4, 1, 1, 0, 2, 3, 3, 2, 3, 1, 1]
pubkeycol1690 = [0, 4, 3, 1, 2, 3, 0, 0, 0, 3, 0, 4, 0, 3, 2, 3, 2, 1, 1, 0, 4, 0, 2, 2, 3, 3, 0, 2, 0, 1, 2, 4, 3, 1, 3, 0, 3, 2, 2, 2, 3, 0, 4, 2, 3, 2, 3, 4, 0, 1, 0, 1, 4, 2, 0, 3, 2, 1, 3, 4, 1, 1, 0, 3, 1, 4, 1, 4, 0, 4, 1, 4, 1, 4, 3, 3, 3, 4, 2, 3, 0, 4, 0, 3, 4, 1, 0, 2, 4, 4, 3, 2, 0, 1, 4, 4, 4, 4, 2, 2, 0, 0, 2, 0, 3, 0, 3, 0, 2, 0, 4, 2, 0, 4, 1, 2, 4, 2, 2, 4, 4, 0, 1, 4, 4, 4, 3, 2, 3, 3, 4, 3, 0, 1, 1, 2, 2, 1, 3, 4, 1, 2, 3, 0, 3, 0, 0, 0, 0, 2, 1, 4, 2, 4, 3, 1, 2, 0, 4, 0, 2, 0, 3, 1, 0, 2, 0, 1, 0, 0, 2, 4, 1, 2, 0, 4, 2, 2, 3, 2, 2, 3, 3, 3, 3, 1, 2, 2, 2, 0, 4, 2, 0, 0, 1, 2, 2, 0, 4, 2, 3, 0, 2, 1, 2, 1, 3, 1, 4, 2, 3, 0, 0, 0, 3, 0, 2, 3, 3, 3, 4, 2, 1, 1, 4, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 3, 1, 1, 2, 1, 3, 0, 3, 2, 3, 3, 3, 3, 4, 1, 3, 4, 3, 3, 1, 3, 0, 1, 1, 3, 3, 3, 4, 0, 4, 1, 2, 2, 2, 1, 2, 4, 2, 1, 3, 0, 3, 1, 3, 1, 3, 1, 2, 0, 2, 2, 4, 1, 4, 3, 0, 3, 3, 1, 0, 0, 2, 0, 4, 4, 3, 3, 0, 0, 2, 3, 4, 4, 1, 1, 2, 1, 1, 2, 4, 3, 0, 0, 1, 4, 3, 4, 4, 4, 0, 4, 1, 1, 3, 4, 0, 0, 4, 2, 0, 3, 0, 2, 2, 4, 1, 0, 2, 1, 0, 1, 1, 4, 2, 2, 4, 2, 0, 0, 3, 0, 0, 3, 2, 0, 4, 3, 2, 1, 2, 0, 1, 0, 4, 3, 2, 4, 4, 0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 2, 3, 1, 2, 3, 3, 0, 1, 1, 3, 2, 3, 0, 2, 1, 1, 2, 0, 0, 4, 3, 4, 0, 3, 1, 2, 4, 0, 0, 4, 3, 1, 2, 0, 0, 4, 3, 2, 3, 1, 0, 1, 1, 0, 2, 1, 0, 0, 4, 0, 4, 1, 1, 0, 2, 3, 3, 1, 2, 0, 1, 2, 3, 1, 3, 4, 0, 1, 4, 0, 4, 3, 1, 1, 1, 1, 4, 3, 1, 0, 4, 0, 4, 4, 2, 0, 0, 3, 4, 0, 3, 1, 3, 3, 3, 0, 0, 4, 4, 2, 3, 4, 0, 3, 4, 4, 2, 3, 4, 0, 4, 1, 1, 0, 0, 3, 3, 1, 1, 3, 4]
pubkeycol1691 = [3, 2, 1, 4, 1, 1, 2, 1, 1, 0, 3, 2, 0, 1, 2, 1, 3, 2, 2, 0, 4, 2, 0, 0, 4, 3, 3, 3, 4, 4, 2, 2, 0, 2, 2, 0, 3, 2, 0, 4, 0, 2, 4, 1, 0, 4, 1, 1, 3, 3, 1, 4, 2, 1, 0, 4, 3, 1, 4, 1, 3, 0, 3, 3, 1, 4, 1, 4, 2, 4, 4, 3, 4, 1, 4, 0, 4, 3, 3, 2, 3, 4, 2, 4, 1, 4, 3, 0, 3, 0, 0, 3, 3, 1, 4, 4, 1, 4, 2, 3, 3, 2, 3, 3, 3, 0, 0, 3, 4, 2, 0, 4, 4, 1, 3, 4, 1, 0, 1, 0, 2, 4, 0, 1, 1, 0, 0, 1, 2, 2, 1, 3, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 4, 3, 0, 3, 3, 4, 4, 2, 1, 3, 2, 3, 1, 4, 4, 0, 4, 0, 2, 1, 2, 2, 3, 0, 0, 3, 4, 3, 4, 1, 0, 4, 0, 3, 4, 4, 4, 3, 2, 2, 0, 4, 4, 3, 4, 3, 3, 4, 1, 4, 2, 3, 4, 1, 0, 4, 1, 4, 3, 2, 1, 3, 4, 2, 3, 4, 2, 2, 0, 3, 3, 1, 4, 2, 4, 1, 4, 3, 1, 3, 1, 4, 0, 1, 3, 3, 3, 2, 2, 0, 1, 4, 4, 0, 3, 4, 4, 0, 0, 4, 0, 3, 1, 3, 4, 3, 2, 0, 0, 2, 4, 0, 2, 2, 2, 2, 1, 0, 3, 0, 4, 4, 4, 2, 4, 1, 1, 4, 0, 3, 2, 2, 0, 1, 4, 1, 2, 3, 3, 0, 3, 1, 2, 4, 0, 0, 2, 4, 3, 0, 1, 2, 1, 0, 4, 0, 4, 3, 4, 1, 3, 4, 3, 2, 1, 3, 2, 4, 0, 2, 2, 3, 1, 4, 3, 1, 0, 1, 4, 3, 0, 1, 1, 4, 4, 1, 1, 4, 0, 3, 1, 3, 3, 1, 4, 2, 1, 4, 0, 4, 1, 1, 4, 2, 2, 0, 4, 3, 0, 1, 0, 4, 0, 2, 0, 0, 2, 2, 1, 1, 3, 1, 4, 2, 3, 2, 1, 1, 2, 4, 0, 4, 1, 2, 4, 2, 0, 3, 1, 4, 4, 0, 0, 1, 2, 2, 4, 4, 1, 2, 0, 4, 4, 4, 4, 2, 2, 0, 4, 1, 1, 1, 3, 1, 4, 2, 2, 4, 3, 1, 0, 4, 3, 2, 3, 4, 2, 0, 4, 0, 1, 3, 0, 2, 4, 4, 0, 2, 3, 2, 2, 2, 2, 3, 3, 2, 3, 0, 2, 4, 2, 1, 0, 4, 2, 3, 0, 3, 1, 4, 4, 4, 0, 3, 1, 0, 4, 4, 3, 4, 0, 1, 4, 3, 4, 4, 0, 3, 1, 0, 4, 2, 1, 4, 0, 1, 2, 0, 3, 0, 0, 2, 2, 3, 1, 0, 1, 0, 1, 3, 3, 3, 1, 0, 4, 0, 0, 4, 3, 4, 2, 3, 1]
pubkeycol1692 = [2, 4, 3, 4, 3, 0, 3, 3, 3, 1, 4, 0, 4, 2, 1, 4, 1, 4, 1, 1, 3, 2, 3, 1, 4, 4, 3, 3, 0, 4, 1, 1, 2, 2, 2, 1, 4, 4, 4, 1, 4, 1, 1, 2, 0, 2, 1, 1, 4, 2, 2, 0, 0, 1, 4, 3, 3, 2, 4, 2, 4, 3, 2, 0, 4, 4, 2, 1, 0, 2, 1, 4, 3, 4, 1, 3, 0, 0, 0, 1, 4, 0, 1, 0, 4, 3, 4, 0, 2, 2, 1, 2, 0, 3, 1, 1, 1, 0, 1, 4, 0, 1, 4, 1, 0, 4, 3, 2, 1, 0, 0, 2, 3, 2, 3, 0, 2, 0, 1, 1, 1, 2, 2, 3, 1, 4, 3, 0, 4, 4, 3, 3, 0, 4, 3, 3, 2, 2, 2, 4, 0, 4, 4, 3, 1, 4, 4, 0, 2, 4, 1, 0, 4, 1, 2, 4, 1, 3, 4, 4, 3, 3, 4, 2, 4, 0, 4, 0, 1, 4, 0, 1, 2, 1, 3, 1, 4, 2, 2, 3, 4, 3, 0, 3, 3, 0, 3, 1, 2, 4, 1, 0, 3, 1, 4, 4, 2, 1, 3, 4, 1, 4, 2, 1, 0, 4, 0, 3, 3, 1, 1, 0, 0, 0, 3, 3, 4, 1, 1, 0, 4, 0, 4, 3, 0, 3, 0, 0, 1, 0, 1, 0, 1, 4, 1, 4, 4, 0, 0, 2, 4, 4, 4, 1, 4, 4, 1, 0, 2, 4, 4, 0, 2, 1, 1, 4, 4, 3, 0, 2, 1, 1, 3, 1, 2, 1, 4, 0, 3, 1, 1, 3, 2, 2, 1, 4, 4, 3, 0, 0, 2, 3, 0, 1, 3, 1, 4, 0, 4, 3, 2, 4, 3, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 4, 0, 1, 3, 3, 0, 4, 4, 1, 0, 4, 2, 2, 3, 1, 0, 2, 0, 3, 4, 0, 3, 2, 2, 1, 3, 1, 4, 0, 1, 2, 0, 3, 0, 1, 0, 2, 0, 3, 2, 4, 1, 0, 3, 3, 4, 0, 3, 3, 1, 2, 1, 3, 3, 2, 0, 2, 2, 4, 1, 4, 2, 2, 2, 3, 0, 0, 0, 0, 1, 3, 2, 1, 2, 4, 2, 4, 4, 0, 1, 2, 1, 3, 0, 1, 1, 0, 2, 3, 4, 2, 1, 2, 0, 1, 2, 4, 2, 0, 3, 0, 4, 1, 4, 3, 1, 1, 4, 1, 4, 0, 2, 2, 4, 3, 1, 0, 3, 4, 2, 0, 2, 2, 3, 1, 4, 2, 2, 2, 1, 0, 2, 0, 4, 0, 0, 3, 1, 0, 1, 1, 3, 2, 1, 3, 4, 2, 2, 1, 1, 1, 0, 1, 3, 0, 3, 1, 3, 4, 4, 4, 0, 3, 4, 0, 3, 2, 2, 0, 4, 2, 2, 3, 4, 1, 0, 3, 4, 1, 1, 3, 1, 2, 4, 4, 3, 1, 2, 4, 3, 3, 3, 1, 4, 2, 3]
pubkeycol1693 = [4, 3, 4, 1, 1, 1, 4, 4, 3, 0, 4, 1, 3, 2, 0, 0, 0, 1, 4, 1, 2, 2, 1, 2, 3, 1, 2, 2, 2, 3, 4, 3, 1, 0, 3, 4, 2, 2, 0, 4, 0, 1, 2, 0, 3, 3, 3, 3, 0, 2, 4, 3, 0, 3, 3, 4, 1, 3, 4, 2, 2, 1, 2, 0, 2, 2, 0, 0, 4, 3, 2, 0, 3, 4, 1, 0, 3, 1, 4, 4, 1, 4, 4, 1, 3, 0, 4, 0, 1, 0, 3, 1, 1, 3, 2, 4, 0, 3, 0, 4, 1, 4, 1, 2, 0, 3, 4, 0, 3, 0, 3, 1, 2, 1, 2, 2, 3, 4, 2, 3, 0, 2, 4, 0, 3, 2, 2, 1, 4, 3, 2, 2, 1, 3, 0, 0, 2, 4, 1, 3, 3, 4, 3, 4, 4, 4, 0, 1, 4, 4, 4, 4, 3, 0, 2, 2, 2, 4, 3, 3, 1, 3, 0, 3, 2, 4, 4, 0, 0, 2, 2, 0, 3, 3, 3, 2, 1, 3, 1, 2, 3, 1, 3, 2, 1, 2, 3, 1, 3, 0, 4, 0, 1, 4, 4, 0, 2, 3, 1, 2, 3, 4, 3, 2, 2, 3, 4, 3, 3, 1, 3, 0, 4, 4, 0, 4, 1, 0, 3, 2, 3, 1, 4, 3, 3, 0, 3, 2, 4, 1, 3, 2, 1, 3, 0, 0, 1, 0, 2, 0, 3, 3, 3, 3, 3, 0, 3, 1, 2, 4, 1, 0, 3, 3, 4, 2, 1, 2, 2, 4, 1, 2, 3, 1, 3, 2, 0, 3, 3, 0, 4, 1, 0, 4, 4, 2, 0, 1, 2, 3, 3, 4, 0, 3, 1, 1, 1, 1, 3, 0, 3, 3, 4, 2, 4, 1, 1, 3, 0, 0, 4, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 3, 1, 2, 0, 3, 3, 0, 3, 3, 1, 1, 0, 2, 4, 1, 2, 3, 4, 2, 0, 3, 4, 4, 4, 4, 1, 3, 4, 0, 1, 0, 4, 4, 1, 0, 3, 3, 1, 0, 0, 4, 2, 4, 3, 4, 4, 2, 3, 0, 3, 2, 1, 2, 3, 1, 1, 4, 3, 3, 0, 4, 0, 0, 4, 4, 3, 2, 1, 2, 1, 2, 3, 2, 4, 1, 3, 0, 1, 0, 2, 2, 4, 3, 1, 4, 1, 3, 3, 0, 2, 2, 4, 4, 3, 0, 0, 2, 1, 4, 1, 1, 2, 1, 4, 4, 3, 3, 0, 4, 1, 4, 3, 0, 1, 0, 3, 1, 0, 0, 3, 0, 0, 3, 0, 0, 4, 2, 3, 4, 3, 4, 4, 0, 2, 2, 4, 4, 4, 2, 1, 0, 1, 0, 1, 1, 3, 0, 2, 4, 4, 0, 3, 0, 1, 4, 0, 4, 2, 1, 2, 2, 1, 2, 4, 1, 1, 1, 1, 3, 2, 3, 2, 0, 2, 0, 3, 0, 0, 3, 0, 3, 0, 4, 2, 2, 3, 2, 1, 1, 3, 1, 2, 0]
pubkeycol1694 = [1, 2, 3, 0, 3, 0, 1, 3, 4, 0, 4, 3, 0, 0, 1, 1, 4, 0, 3, 4, 1, 0, 4, 4, 0, 3, 4, 0, 3, 0, 1, 4, 0, 4, 0, 2, 4, 2, 2, 2, 4, 2, 2, 4, 0, 0, 0, 2, 0, 0, 3, 0, 0, 4, 2, 0, 2, 4, 0, 2, 3, 4, 0, 1, 1, 3, 1, 4, 2, 3, 2, 3, 4, 4, 2, 0, 3, 1, 1, 0, 3, 2, 4, 1, 2, 1, 2, 3, 0, 0, 2, 3, 3, 1, 4, 0, 3, 3, 4, 0, 1, 3, 4, 0, 4, 2, 1, 3, 2, 0, 3, 0, 2, 2, 0, 4, 1, 4, 2, 3, 3, 0, 0, 3, 0, 3, 2, 3, 0, 3, 0, 3, 0, 0, 0, 2, 1, 1, 0, 4, 0, 0, 2, 3, 3, 3, 0, 2, 3, 0, 1, 0, 2, 3, 2, 0, 1, 0, 4, 1, 0, 0, 0, 2, 0, 0, 3, 1, 3, 4, 3, 2, 2, 1, 4, 0, 2, 4, 4, 3, 1, 1, 1, 1, 0, 3, 4, 0, 1, 3, 0, 0, 3, 0, 3, 3, 4, 0, 3, 1, 0, 0, 4, 0, 4, 3, 4, 1, 2, 4, 1, 2, 0, 2, 4, 2, 4, 2, 3, 4, 0, 4, 3, 0, 3, 4, 2, 1, 3, 3, 2, 2, 3, 2, 1, 1, 0, 4, 3, 4, 0, 1, 2, 2, 0, 1, 3, 2, 0, 0, 2, 2, 0, 0, 4, 0, 1, 4, 1, 3, 1, 3, 2, 4, 2, 3, 3, 2, 2, 1, 0, 0, 2, 4, 4, 0, 2, 1, 4, 0, 4, 2, 1, 1, 4, 1, 0, 2, 4, 3, 1, 1, 4, 1, 2, 4, 2, 3, 4, 4, 1, 2, 4, 0, 3, 1, 4, 3, 2, 3, 1, 0, 3, 1, 4, 2, 3, 1, 0, 3, 2, 2, 3, 2, 2, 3, 4, 3, 4, 2, 1, 4, 1, 3, 1, 0, 3, 4, 3, 2, 4, 4, 1, 3, 1, 3, 1, 3, 2, 3, 2, 0, 3, 3, 0, 3, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 4, 1, 3, 4, 4, 4, 3, 2, 0, 1, 1, 1, 3, 0, 4, 1, 0, 0, 3, 1, 1, 2, 3, 4, 1, 2, 4, 2, 4, 0, 3, 3, 1, 4, 0, 0, 0, 0, 3, 3, 3, 0, 1, 1, 1, 0, 4, 4, 4, 4, 0, 3, 3, 1, 2, 4, 2, 1, 3, 1, 4, 2, 0, 0, 4, 3, 1, 2, 4, 3, 2, 0, 1, 1, 0, 1, 1, 1, 3, 3, 1, 0, 4, 0, 2, 4, 4, 4, 3, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 4, 0, 2, 4, 2, 1, 4, 4, 0, 0, 0, 3, 0, 0, 1, 2, 3, 0, 1, 4, 1, 1, 1, 3, 0, 3, 1, 2, 3, 3, 0, 1, 4, 0, 3, 0, 0, 0]
pubkeycol1695 = [2, 0, 2, 0, 1, 4, 4, 1, 2, 1, 2, 4, 3, 0, 3, 0, 3, 4, 1, 1, 0, 1, 0, 4, 2, 1, 0, 0, 3, 3, 0, 0, 3, 0, 4, 0, 1, 4, 1, 3, 2, 3, 1, 4, 2, 0, 2, 0, 2, 2, 4, 4, 4, 1, 2, 3, 4, 2, 1, 4, 3, 0, 4, 1, 1, 1, 3, 0, 4, 0, 1, 0, 4, 0, 4, 3, 1, 2, 1, 3, 2, 2, 0, 4, 2, 3, 2, 3, 2, 2, 0, 2, 4, 4, 1, 4, 3, 2, 0, 1, 2, 3, 4, 3, 3, 1, 2, 1, 2, 4, 1, 3, 2, 1, 2, 0, 3, 2, 2, 0, 2, 4, 2, 1, 0, 3, 3, 4, 1, 3, 0, 4, 0, 0, 2, 3, 3, 1, 1, 0, 0, 1, 4, 3, 4, 2, 3, 4, 4, 3, 2, 4, 4, 3, 1, 3, 3, 3, 3, 3, 1, 4, 4, 2, 3, 4, 3, 2, 4, 4, 1, 3, 1, 2, 0, 2, 2, 0, 0, 0, 0, 3, 1, 1, 0, 4, 3, 4, 3, 1, 2, 2, 0, 2, 2, 0, 0, 3, 0, 4, 2, 1, 4, 2, 1, 1, 0, 3, 2, 1, 3, 0, 4, 2, 1, 4, 3, 0, 4, 4, 3, 0, 3, 2, 0, 1, 0, 0, 3, 2, 4, 0, 1, 3, 0, 0, 2, 1, 2, 3, 1, 4, 0, 2, 0, 1, 1, 2, 3, 4, 1, 1, 0, 0, 1, 1, 0, 1, 1, 4, 4, 0, 3, 2, 3, 0, 1, 4, 4, 0, 3, 2, 3, 4, 1, 3, 3, 2, 2, 2, 1, 1, 2, 2, 2, 3, 3, 3, 3, 1, 1, 3, 1, 0, 3, 1, 3, 4, 0, 1, 2, 2, 1, 2, 4, 2, 2, 1, 1, 2, 0, 3, 1, 4, 3, 3, 0, 0, 1, 0, 4, 0, 2, 4, 4, 1, 1, 2, 3, 0, 4, 4, 3, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 3, 2, 2, 1, 1, 0, 3, 3, 3, 0, 1, 0, 4, 0, 2, 1, 4, 2, 0, 4, 1, 0, 1, 0, 3, 0, 4, 4, 4, 3, 4, 0, 0, 1, 2, 4, 0, 4, 2, 2, 4, 3, 3, 4, 3, 0, 0, 2, 1, 3, 0, 0, 1, 3, 0, 1, 3, 4, 4, 4, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 3, 3, 2, 1, 2, 1, 4, 3, 4, 4, 2, 0, 2, 2, 4, 1, 2, 1, 1, 0, 1, 4, 4, 4, 0, 2, 0, 2, 4, 3, 2, 2, 4, 4, 3, 4, 1, 3, 1, 2, 0, 3, 3, 2, 3, 0, 2, 4, 2, 4, 4, 1, 0, 2, 1, 3, 3, 3, 4, 1, 4, 1, 2, 2, 1, 3, 0, 4, 0, 3, 1, 3, 0, 2, 3, 1, 3, 0, 4, 0, 3, 3, 4, 4, 2, 1, 0, 3, 4, 1, 3, 4]
pubkeycol1696 = [2, 4, 4, 4, 2, 3, 2, 2, 3, 3, 1, 4, 4, 3, 4, 4, 1, 1, 4, 1, 0, 2, 4, 4, 2, 4, 2, 4, 1, 0, 1, 1, 0, 2, 1, 0, 3, 4, 2, 1, 3, 4, 2, 4, 0, 1, 4, 3, 4, 0, 3, 0, 4, 1, 4, 0, 4, 0, 3, 2, 4, 3, 4, 0, 2, 3, 0, 1, 0, 4, 2, 4, 0, 4, 0, 4, 1, 0, 2, 2, 0, 2, 4, 1, 2, 3, 3, 4, 0, 1, 4, 0, 0, 3, 1, 1, 2, 4, 4, 1, 2, 3, 2, 0, 0, 0, 1, 0, 0, 0, 4, 1, 0, 3, 3, 4, 0, 4, 2, 2, 2, 4, 3, 1, 3, 2, 0, 3, 4, 3, 3, 2, 1, 1, 0, 4, 3, 4, 4, 4, 0, 0, 4, 3, 2, 0, 4, 1, 4, 0, 4, 2, 4, 2, 0, 0, 1, 2, 1, 4, 4, 4, 0, 0, 1, 1, 2, 0, 3, 1, 4, 3, 4, 3, 0, 1, 3, 0, 3, 2, 4, 1, 1, 4, 1, 3, 3, 2, 0, 0, 0, 3, 2, 1, 2, 4, 2, 4, 3, 1, 2, 0, 1, 4, 0, 3, 4, 0, 3, 1, 3, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 3, 4, 0, 3, 2, 0, 3, 2, 3, 3, 3, 2, 4, 4, 0, 4, 3, 2, 2, 0, 3, 0, 4, 4, 1, 1, 0, 4, 1, 2, 1, 2, 0, 1, 2, 2, 4, 0, 2, 0, 4, 4, 0, 2, 4, 1, 0, 3, 1, 0, 2, 3, 2, 3, 2, 2, 3, 3, 3, 4, 1, 0, 0, 0, 4, 3, 3, 4, 2, 1, 2, 0, 3, 3, 0, 4, 1, 3, 2, 3, 1, 0, 0, 3, 1, 2, 1, 1, 1, 1, 4, 2, 3, 3, 4, 3, 0, 1, 3, 4, 1, 1, 1, 3, 2, 2, 3, 3, 3, 0, 0, 1, 1, 3, 2, 2, 4, 0, 1, 0, 4, 2, 0, 1, 3, 2, 0, 3, 4, 2, 1, 3, 1, 0, 1, 3, 2, 2, 3, 1, 2, 0, 1, 1, 1, 3, 3, 4, 1, 1, 3, 4, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 1, 3, 0, 0, 0, 0, 1, 4, 2, 3, 0, 2, 3, 3, 4, 2, 0, 1, 0, 1, 4, 1, 4, 4, 4, 1, 3, 4, 3, 2, 4, 4, 4, 4, 4, 1, 4, 0, 3, 0, 4, 1, 4, 3, 3, 2, 4, 1, 3, 1, 2, 2, 3, 0, 4, 4, 4, 3, 0, 1, 4, 4, 4, 2, 3, 2, 2, 0, 2, 1, 4, 3, 0, 4, 0, 0, 2, 4, 0, 3, 4, 4, 0, 3, 2, 0, 2, 3, 3, 4, 0, 2, 0, 4, 3, 0, 1, 0, 1, 2, 0, 1, 3, 1, 4, 2, 2, 4, 0, 0, 4, 2, 3, 1, 2, 2, 1, 0, 4]
pubkeycol1697 = [1, 3, 2, 3, 1, 0, 4, 2, 1, 3, 3, 4, 2, 2, 1, 2, 3, 2, 2, 3, 1, 4, 2, 4, 3, 2, 1, 0, 3, 3, 4, 4, 3, 1, 0, 0, 4, 4, 4, 2, 3, 1, 4, 3, 2, 2, 2, 3, 4, 3, 0, 2, 0, 1, 0, 3, 0, 4, 4, 3, 0, 4, 2, 0, 2, 2, 2, 2, 3, 3, 4, 0, 4, 0, 4, 0, 0, 2, 2, 3, 0, 2, 0, 4, 4, 0, 3, 2, 1, 3, 0, 2, 3, 2, 1, 2, 1, 1, 1, 0, 3, 4, 0, 4, 3, 0, 1, 0, 1, 3, 4, 2, 2, 4, 0, 0, 1, 1, 4, 3, 2, 3, 1, 0, 1, 1, 4, 3, 3, 3, 1, 2, 4, 2, 3, 3, 4, 4, 4, 0, 3, 2, 4, 3, 2, 2, 1, 2, 2, 3, 0, 1, 2, 3, 3, 1, 0, 1, 3, 2, 4, 2, 4, 3, 4, 3, 3, 3, 3, 4, 3, 4, 4, 4, 2, 2, 0, 4, 4, 2, 3, 3, 4, 4, 0, 4, 0, 2, 0, 3, 3, 1, 1, 3, 4, 3, 0, 4, 0, 1, 1, 1, 2, 4, 1, 3, 3, 1, 3, 4, 1, 3, 4, 1, 1, 2, 2, 1, 1, 3, 1, 3, 3, 4, 1, 4, 0, 2, 0, 4, 4, 0, 2, 4, 2, 2, 0, 1, 3, 3, 4, 2, 0, 3, 3, 2, 1, 2, 4, 1, 4, 0, 4, 1, 0, 2, 4, 3, 1, 0, 3, 0, 3, 0, 4, 3, 4, 2, 4, 2, 3, 3, 4, 1, 2, 4, 3, 4, 4, 1, 2, 2, 0, 1, 3, 0, 4, 2, 2, 0, 0, 2, 0, 0, 3, 0, 3, 0, 0, 4, 4, 2, 1, 0, 2, 1, 4, 3, 1, 1, 2, 3, 4, 2, 3, 3, 2, 1, 1, 0, 1, 0, 4, 3, 1, 1, 2, 4, 0, 2, 1, 1, 1, 2, 4, 3, 0, 2, 2, 1, 3, 1, 4, 2, 0, 1, 4, 1, 4, 3, 4, 2, 0, 4, 3, 1, 4, 3, 3, 4, 1, 4, 0, 0, 1, 4, 1, 3, 0, 4, 2, 0, 3, 3, 2, 0, 0, 4, 2, 4, 2, 1, 2, 2, 3, 1, 1, 2, 2, 4, 1, 4, 1, 3, 2, 3, 3, 1, 4, 3, 3, 2, 4, 0, 3, 1, 4, 2, 3, 3, 0, 4, 0, 4, 0, 2, 1, 3, 1, 3, 0, 0, 0, 3, 3, 2, 3, 0, 4, 2, 2, 4, 2, 3, 3, 1, 3, 3, 4, 3, 1, 2, 0, 2, 1, 4, 3, 0, 4, 4, 1, 2, 1, 1, 1, 0, 0, 3, 4, 2, 3, 0, 0, 2, 2, 1, 4, 3, 0, 0, 0, 4, 2, 3, 2, 1, 2, 1, 0, 1, 2, 2, 2, 3, 3, 4, 4, 0, 0, 4, 3, 1, 3, 3, 2, 2, 3, 3, 2, 3, 0, 2, 3, 1, 3]
pubkeycol1698 = [2, 0, 2, 2, 1, 4, 3, 4, 1, 4, 3, 3, 4, 4, 4, 4, 3, 3, 1, 2, 3, 0, 2, 0, 4, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 4, 2, 4, 0, 4, 2, 0, 1, 0, 1, 0, 1, 3, 4, 0, 1, 4, 4, 1, 1, 4, 3, 3, 4, 3, 4, 1, 2, 0, 1, 1, 4, 3, 3, 3, 4, 4, 1, 4, 3, 1, 2, 0, 2, 3, 2, 0, 1, 4, 2, 2, 3, 4, 0, 0, 1, 1, 4, 4, 2, 1, 1, 4, 1, 1, 2, 4, 2, 2, 0, 3, 4, 1, 0, 4, 3, 1, 0, 2, 0, 4, 0, 4, 2, 1, 3, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 4, 4, 3, 4, 4, 1, 2, 3, 4, 1, 2, 3, 3, 4, 4, 1, 0, 0, 1, 1, 2, 3, 3, 4, 2, 0, 4, 2, 3, 3, 2, 1, 3, 2, 3, 2, 1, 1, 3, 3, 0, 2, 3, 3, 1, 1, 3, 4, 1, 3, 1, 4, 0, 4, 2, 1, 0, 2, 3, 2, 1, 1, 0, 2, 4, 4, 0, 0, 4, 1, 0, 4, 0, 3, 3, 1, 4, 3, 1, 1, 4, 3, 2, 0, 1, 1, 1, 3, 3, 3, 0, 2, 4, 2, 1, 4, 4, 2, 4, 4, 2, 3, 1, 3, 2, 1, 0, 0, 0, 0, 2, 4, 3, 3, 0, 2, 1, 4, 4, 0, 3, 3, 0, 4, 4, 0, 4, 0, 0, 4, 3, 0, 0, 4, 4, 2, 0, 3, 1, 0, 3, 1, 0, 0, 1, 1, 1, 2, 0, 2, 3, 1, 4, 0, 0, 1, 0, 0, 1, 0, 1, 3, 2, 1, 1, 0, 2, 1, 2, 3, 3, 4, 1, 2, 2, 4, 0, 0, 2, 0, 1, 4, 1, 3, 1, 1, 1, 4, 3, 0, 3, 2, 1, 4, 3, 0, 2, 3, 2, 1, 1, 4, 3, 2, 0, 0, 4, 4, 1, 0, 0, 4, 3, 1, 2, 3, 4, 1, 3, 3, 0, 3, 1, 2, 1, 1, 3, 4, 3, 0, 2, 2, 4, 3, 3, 4, 1, 1, 2, 2, 4, 3, 0, 3, 1, 1, 4, 4, 2, 1, 3, 2, 3, 3, 2, 1, 2, 3, 0, 0, 4, 1, 4, 1, 3, 2, 3, 1, 3, 2, 2, 1, 3, 2, 4, 0, 4, 3, 2, 2, 2, 3, 3, 2, 2, 0, 2, 1, 2, 4, 4, 1, 4, 0, 4, 2, 3, 2, 1, 4, 0, 3, 0, 1, 3, 4, 3, 1, 3, 4, 1, 3, 4, 3, 4, 0, 2, 0, 3, 0, 1, 2, 4, 0, 2, 3, 3, 1, 0, 3, 2, 0, 0, 1, 0, 4, 0, 1, 2, 2, 3, 4, 4, 3, 4, 2, 0, 2, 3, 1, 2, 4, 4, 4, 4, 2, 4, 4, 4, 0, 2, 1, 4, 3, 0, 1, 4, 2, 4, 0, 2, 1, 4]
pubkeycol1699 = [0, 1, 0, 3, 0, 0, 3, 1, 0, 4, 3, 1, 0, 4, 3, 4, 3, 0, 0, 3, 0, 0, 2, 3, 3, 4, 3, 4, 0, 0, 3, 4, 2, 4, 1, 1, 1, 0, 2, 3, 2, 1, 3, 2, 1, 3, 0, 1, 1, 2, 4, 3, 4, 1, 1, 2, 1, 0, 4, 2, 4, 3, 4, 1, 3, 4, 2, 0, 2, 3, 4, 3, 0, 3, 1, 0, 2, 3, 1, 1, 1, 3, 1, 3, 4, 1, 1, 0, 0, 4, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 4, 2, 4, 3, 0, 4, 4, 2, 2, 1, 1, 4, 0, 4, 4, 4, 2, 2, 4, 2, 0, 3, 3, 0, 4, 3, 4, 1, 1, 2, 0, 4, 2, 1, 3, 1, 1, 1, 3, 2, 1, 4, 2, 4, 2, 4, 0, 1, 0, 1, 4, 2, 3, 1, 1, 2, 2, 4, 2, 1, 2, 4, 3, 3, 1, 0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 4, 2, 1, 4, 4, 1, 3, 1, 0, 0, 1, 1, 1, 4, 1, 1, 1, 1, 4, 2, 1, 3, 1, 2, 3, 0, 2, 3, 2, 2, 1, 2, 1, 0, 3, 0, 3, 3, 4, 4, 0, 3, 0, 4, 1, 0, 2, 1, 2, 2, 1, 1, 1, 4, 0, 1, 2, 0, 4, 4, 0, 3, 2, 0, 4, 3, 3, 3, 1, 1, 2, 4, 0, 1, 0, 2, 1, 4, 4, 3, 4, 1, 2, 2, 0, 2, 3, 2, 3, 0, 1, 4, 4, 2, 0, 0, 4, 4, 1, 2, 2, 1, 2, 0, 4, 3, 1, 2, 0, 1, 1, 3, 3, 4, 4, 2, 3, 0, 2, 1, 3, 0, 3, 0, 4, 1, 3, 2, 0, 3, 2, 1, 1, 2, 2, 1, 2, 3, 3, 2, 3, 4, 4, 1, 3, 3, 3, 1, 0, 1, 2, 4, 4, 3, 4, 3, 4, 2, 2, 2, 0, 2, 3, 2, 1, 1, 4, 0, 3, 1, 3, 4, 0, 2, 0, 3, 1, 2, 1, 2, 3, 1, 1, 2, 1, 1, 3, 4, 4, 0, 4, 2, 3, 2, 1, 4, 1, 1, 0, 1, 4, 2, 4, 0, 1, 2, 1, 3, 4, 0, 1, 2, 3, 3, 3, 3, 3, 4, 0, 4, 4, 1, 1, 1, 0, 3, 0, 0, 2, 4, 4, 1, 0, 2, 0, 0, 1, 0, 4, 2, 3, 0, 3, 4, 0, 0, 0, 3, 1, 3, 1, 1, 1, 2, 2, 2, 1, 3, 0, 4, 4, 4, 2, 4, 1, 2, 4, 3, 1, 0, 3, 0, 3, 3, 3, 2, 4, 0, 4, 0, 4, 3, 1, 0, 3, 0, 3, 2, 2, 3, 1, 0, 1, 0, 4, 4, 1, 0, 2, 2, 0, 3, 3, 2, 1, 4, 2, 0, 1, 1, 3, 3, 0, 1, 2, 3, 4, 0, 2, 1, 2, 4, 2, 1, 2, 4, 0, 1, 2]
pubkeycol1700 = [2, 3, 1, 1, 1, 1, 2, 2, 3, 1, 1, 4, 0, 0, 0, 1, 1, 1, 1, 2, 3, 0, 3, 0, 1, 1, 2, 1, 4, 1, 1, 4, 4, 1, 4, 3, 4, 4, 4, 0, 4, 4, 2, 4, 4, 0, 0, 1, 1, 2, 1, 2, 3, 1, 2, 4, 2, 1, 1, 2, 2, 2, 3, 3, 1, 3, 1, 4, 2, 0, 1, 4, 0, 3, 0, 4, 3, 0, 1, 4, 4, 0, 3, 4, 4, 2, 2, 3, 1, 2, 2, 2, 2, 4, 1, 4, 2, 4, 1, 3, 4, 1, 1, 4, 0, 2, 4, 1, 3, 3, 3, 1, 4, 0, 2, 1, 0, 4, 0, 3, 2, 4, 0, 2, 4, 4, 3, 3, 4, 3, 1, 1, 3, 2, 4, 4, 0, 1, 3, 1, 2, 1, 2, 2, 2, 3, 2, 0, 2, 0, 1, 4, 3, 4, 0, 4, 4, 1, 2, 4, 2, 3, 3, 4, 1, 3, 0, 3, 4, 2, 4, 3, 0, 4, 0, 1, 0, 0, 4, 0, 2, 3, 2, 4, 3, 3, 2, 4, 3, 3, 3, 1, 2, 2, 1, 0, 2, 0, 4, 2, 1, 2, 1, 2, 0, 3, 3, 4, 3, 4, 0, 3, 1, 1, 1, 1, 1, 2, 4, 3, 4, 4, 4, 1, 1, 0, 2, 1, 0, 4, 3, 1, 0, 3, 2, 0, 4, 1, 3, 3, 4, 2, 4, 4, 0, 3, 2, 3, 0, 2, 4, 2, 3, 4, 2, 3, 3, 2, 0, 2, 3, 2, 4, 2, 2, 4, 1, 3, 2, 1, 3, 1, 3, 4, 1, 0, 1, 1, 4, 2, 0, 2, 0, 4, 4, 2, 1, 1, 4, 0, 2, 3, 0, 1, 4, 1, 2, 1, 3, 4, 4, 0, 4, 0, 1, 4, 0, 1, 0, 3, 0, 2, 4, 3, 4, 4, 2, 0, 3, 4, 0, 1, 2, 2, 4, 2, 0, 2, 2, 4, 1, 2, 2, 3, 1, 1, 3, 4, 4, 3, 1, 0, 4, 4, 1, 2, 1, 0, 0, 1, 4, 4, 3, 3, 2, 2, 4, 4, 3, 0, 3, 1, 0, 2, 3, 1, 3, 3, 4, 2, 2, 3, 0, 4, 2, 0, 3, 3, 1, 4, 0, 3, 2, 3, 1, 0, 0, 0, 2, 0, 1, 3, 4, 0, 3, 2, 1, 4, 3, 0, 1, 1, 1, 4, 4, 2, 0, 4, 3, 1, 1, 2, 4, 1, 2, 0, 2, 2, 2, 2, 1, 2, 3, 2, 4, 2, 0, 2, 1, 0, 3, 4, 2, 1, 2, 1, 4, 2, 4, 3, 3, 0, 1, 1, 4, 0, 0, 1, 3, 3, 3, 0, 4, 1, 1, 3, 3, 1, 1, 0, 1, 0, 3, 0, 0, 2, 2, 2, 1, 4, 4, 0, 0, 2, 1, 1, 3, 2, 0, 2, 0, 3, 3, 2, 3, 2, 0, 3, 2, 3, 3, 0, 2, 4, 3, 1, 0, 0, 3, 0, 4, 1, 3, 3, 1]
pubkeycol1701 = [4, 4, 1, 0, 0, 0, 4, 3, 0, 1, 2, 0, 2, 4, 3, 2, 2, 1, 3, 0, 3, 2, 1, 1, 1, 2, 3, 0, 1, 1, 3, 4, 4, 3, 2, 4, 3, 4, 3, 1, 0, 3, 1, 4, 3, 0, 0, 4, 0, 2, 0, 1, 2, 2, 3, 3, 1, 1, 4, 1, 3, 3, 1, 0, 4, 3, 1, 4, 3, 3, 3, 0, 1, 2, 2, 4, 3, 0, 4, 4, 1, 3, 1, 2, 0, 2, 0, 0, 0, 3, 0, 1, 4, 2, 1, 2, 0, 2, 2, 3, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 3, 1, 4, 1, 0, 2, 2, 2, 1, 0, 0, 3, 3, 3, 2, 2, 0, 0, 3, 4, 2, 2, 3, 3, 0, 0, 3, 4, 4, 0, 4, 2, 3, 1, 4, 2, 1, 1, 2, 1, 4, 2, 3, 1, 1, 3, 3, 4, 2, 0, 4, 0, 0, 4, 2, 0, 0, 2, 2, 4, 3, 1, 3, 4, 2, 3, 4, 3, 4, 2, 3, 1, 3, 1, 2, 2, 1, 1, 1, 2, 1, 4, 2, 3, 0, 0, 1, 2, 4, 0, 0, 0, 2, 3, 0, 1, 1, 4, 2, 2, 1, 2, 3, 4, 4, 4, 4, 2, 0, 0, 3, 4, 1, 3, 4, 2, 3, 1, 3, 0, 0, 4, 2, 4, 1, 1, 2, 4, 1, 3, 0, 1, 1, 4, 4, 3, 2, 2, 4, 4, 4, 3, 1, 1, 1, 4, 1, 1, 3, 2, 0, 1, 3, 3, 4, 2, 0, 2, 1, 2, 4, 4, 1, 4, 4, 4, 0, 4, 1, 2, 4, 2, 2, 0, 4, 4, 4, 0, 0, 1, 1, 1, 3, 1, 3, 2, 4, 2, 4, 2, 3, 3, 3, 4, 2, 0, 2, 3, 3, 1, 3, 4, 3, 3, 4, 4, 1, 4, 1, 2, 0, 4, 2, 4, 4, 3, 1, 2, 0, 4, 1, 1, 1, 3, 1, 3, 4, 1, 1, 3, 0, 1, 2, 0, 4, 0, 3, 1, 3, 1, 1, 2, 3, 3, 3, 2, 3, 4, 0, 3, 0, 2, 0, 4, 2, 0, 3, 3, 1, 2, 1, 1, 4, 4, 3, 1, 3, 4, 0, 0, 2, 0, 0, 2, 0, 2, 1, 3, 1, 0, 0, 4, 2, 0, 0, 3, 1, 1, 3, 3, 2, 1, 2, 0, 3, 3, 1, 0, 2, 2, 1, 4, 2, 0, 3, 0, 4, 0, 0, 4, 2, 4, 0, 4, 0, 0, 0, 4, 0, 2, 2, 1, 4, 1, 2, 4, 0, 2, 0, 3, 4, 1, 1, 1, 0, 4, 1, 3, 2, 0, 2, 0, 4, 2, 2, 3, 2, 2, 2, 4, 0, 1, 4, 0, 1, 0, 0, 4, 4, 1, 1, 1, 0, 3, 2, 3, 4, 0, 2, 1, 1, 1, 4, 4, 4, 0, 1, 1, 3, 4, 3, 1, 3, 3, 1, 0, 0, 2, 0, 1, 2, 4, 1, 0]
pubkeycol1702 = [4, 3, 4, 2, 0, 0, 0, 1, 1, 1, 3, 3, 4, 4, 2, 0, 1, 2, 4, 0, 1, 0, 3, 4, 2, 0, 2, 1, 0, 1, 3, 2, 0, 2, 1, 4, 1, 2, 2, 1, 0, 0, 2, 2, 4, 1, 1, 0, 0, 4, 2, 2, 2, 2, 0, 3, 2, 2, 2, 0, 3, 3, 0, 2, 3, 0, 3, 4, 4, 3, 3, 4, 3, 2, 0, 2, 4, 3, 3, 4, 3, 0, 4, 3, 0, 3, 0, 4, 3, 2, 2, 0, 2, 2, 1, 1, 3, 3, 0, 2, 0, 3, 4, 2, 1, 1, 1, 2, 3, 3, 4, 3, 0, 2, 0, 3, 4, 2, 4, 3, 1, 4, 2, 0, 3, 1, 2, 4, 4, 0, 0, 1, 3, 0, 3, 2, 0, 2, 3, 0, 1, 0, 4, 1, 0, 1, 3, 4, 2, 3, 3, 4, 3, 4, 3, 3, 2, 1, 0, 4, 1, 1, 2, 4, 0, 2, 1, 1, 4, 0, 1, 0, 4, 2, 4, 1, 4, 0, 3, 0, 3, 0, 1, 0, 2, 2, 2, 4, 1, 1, 1, 0, 4, 1, 3, 0, 0, 1, 2, 4, 0, 0, 1, 3, 1, 4, 4, 0, 3, 4, 2, 0, 1, 3, 4, 0, 3, 2, 2, 3, 3, 0, 2, 0, 0, 3, 3, 3, 3, 2, 0, 1, 2, 2, 2, 3, 4, 2, 1, 1, 0, 4, 4, 4, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 4, 0, 1, 4, 1, 4, 3, 2, 2, 1, 1, 3, 1, 0, 1, 4, 4, 1, 3, 3, 4, 4, 1, 1, 3, 3, 0, 0, 3, 2, 4, 0, 0, 2, 2, 3, 3, 4, 4, 2, 2, 1, 2, 1, 3, 0, 0, 1, 0, 3, 1, 3, 1, 0, 0, 4, 3, 4, 3, 2, 2, 3, 1, 1, 2, 3, 0, 1, 2, 3, 4, 2, 4, 0, 2, 1, 1, 0, 1, 4, 1, 2, 4, 3, 4, 3, 1, 4, 2, 0, 2, 4, 4, 2, 4, 3, 2, 1, 2, 4, 1, 3, 0, 1, 1, 0, 2, 4, 3, 2, 0, 4, 3, 2, 4, 0, 4, 4, 1, 4, 2, 2, 3, 0, 4, 0, 1, 2, 2, 4, 4, 4, 1, 1, 4, 4, 3, 1, 4, 1, 4, 4, 4, 3, 3, 1, 1, 3, 4, 3, 2, 2, 2, 1, 1, 0, 3, 3, 0, 1, 2, 2, 0, 0, 2, 3, 4, 4, 0, 3, 2, 1, 4, 2, 4, 0, 0, 2, 4, 4, 2, 0, 3, 2, 0, 0, 1, 3, 2, 3, 3, 4, 0, 3, 1, 1, 2, 3, 4, 4, 0, 2, 1, 4, 2, 2, 1, 2, 0, 1, 0, 4, 3, 0, 4, 1, 2, 3, 1, 2, 0, 2, 0, 0, 3, 4, 2, 2, 3, 1, 1, 4, 4, 3, 1, 4, 2, 4, 0, 3, 2, 3, 3, 4, 1, 3, 4, 0, 0, 0]
pubkeycol1703 = [4, 2, 0, 0, 3, 3, 0, 4, 0, 0, 3, 1, 0, 1, 1, 2, 4, 4, 4, 0, 3, 0, 2, 2, 2, 4, 0, 2, 2, 1, 3, 1, 3, 3, 3, 2, 1, 0, 4, 4, 2, 2, 3, 0, 1, 0, 4, 2, 0, 3, 4, 0, 1, 4, 4, 3, 4, 4, 0, 3, 3, 0, 3, 3, 2, 4, 1, 2, 2, 3, 4, 0, 0, 2, 3, 2, 1, 3, 2, 2, 2, 3, 3, 2, 1, 4, 0, 2, 3, 4, 4, 1, 4, 0, 3, 1, 0, 2, 4, 0, 0, 2, 4, 0, 3, 1, 4, 3, 2, 2, 1, 2, 1, 0, 0, 3, 0, 2, 3, 4, 4, 3, 1, 0, 2, 1, 4, 1, 3, 4, 4, 1, 2, 0, 3, 4, 3, 1, 1, 4, 0, 2, 3, 1, 1, 4, 3, 1, 1, 2, 3, 1, 4, 1, 3, 1, 4, 3, 1, 4, 4, 4, 1, 1, 3, 1, 2, 0, 3, 0, 2, 1, 3, 2, 0, 0, 0, 3, 3, 3, 0, 2, 4, 2, 4, 1, 3, 0, 2, 1, 1, 4, 1, 2, 2, 3, 1, 4, 0, 4, 3, 1, 3, 4, 1, 3, 1, 2, 4, 3, 3, 4, 0, 3, 3, 2, 3, 1, 0, 4, 2, 3, 4, 4, 4, 1, 0, 4, 4, 2, 3, 3, 1, 1, 2, 2, 1, 1, 1, 3, 3, 2, 4, 1, 0, 4, 2, 4, 1, 2, 0, 4, 3, 3, 1, 1, 4, 2, 2, 2, 1, 3, 2, 3, 1, 3, 2, 0, 1, 1, 0, 3, 0, 4, 4, 2, 2, 0, 2, 2, 4, 0, 2, 1, 3, 0, 4, 3, 0, 0, 3, 4, 1, 2, 0, 1, 3, 2, 0, 4, 3, 0, 1, 2, 2, 3, 2, 0, 2, 1, 2, 3, 4, 0, 2, 3, 0, 2, 0, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 2, 4, 3, 1, 1, 2, 2, 3, 4, 4, 0, 3, 0, 0, 3, 3, 3, 3, 2, 0, 4, 0, 4, 0, 0, 2, 1, 3, 1, 3, 4, 1, 0, 1, 4, 2, 0, 2, 2, 1, 1, 4, 0, 2, 1, 4, 1, 2, 0, 4, 4, 0, 0, 4, 4, 3, 1, 2, 3, 4, 3, 4, 2, 1, 1, 2, 1, 1, 3, 3, 4, 1, 2, 4, 3, 1, 0, 0, 2, 1, 0, 0, 3, 0, 2, 4, 3, 2, 4, 2, 1, 1, 4, 0, 1, 4, 2, 0, 3, 0, 2, 2, 3, 1, 4, 3, 3, 4, 1, 0, 3, 4, 4, 1, 3, 4, 1, 3, 1, 3, 4, 0, 0, 0, 2, 0, 1, 4, 0, 3, 3, 4, 2, 0, 3, 1, 4, 4, 4, 3, 0, 2, 1, 3, 0, 0, 3, 2, 0, 0, 1, 2, 1, 4, 4, 2, 0, 0, 3, 1, 1, 4, 3, 0, 4, 0, 1, 2, 1, 2, 1, 4, 2, 3, 0]
pubkeycol1704 = [3, 4, 1, 3, 2, 4, 2, 2, 4, 2, 1, 4, 3, 4, 2, 1, 3, 0, 0, 2, 0, 0, 4, 2, 2, 0, 4, 3, 1, 1, 3, 2, 2, 0, 4, 3, 1, 2, 2, 1, 3, 0, 0, 2, 0, 2, 2, 0, 1, 4, 2, 1, 3, 0, 1, 2, 2, 0, 2, 4, 3, 1, 3, 4, 0, 4, 0, 3, 0, 2, 0, 4, 2, 1, 3, 3, 2, 2, 1, 3, 3, 3, 3, 3, 1, 0, 0, 2, 2, 4, 3, 3, 1, 2, 0, 2, 3, 1, 3, 4, 3, 1, 4, 4, 3, 1, 4, 3, 1, 3, 3, 1, 3, 2, 1, 1, 4, 0, 0, 2, 3, 3, 4, 1, 4, 1, 1, 4, 0, 2, 4, 0, 3, 3, 0, 3, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 4, 1, 0, 4, 4, 2, 3, 1, 3, 2, 0, 1, 0, 2, 4, 2, 4, 0, 0, 1, 0, 1, 4, 4, 2, 1, 2, 2, 0, 1, 4, 3, 1, 4, 1, 2, 1, 4, 3, 2, 2, 2, 1, 4, 1, 0, 2, 1, 1, 4, 3, 1, 1, 3, 3, 2, 2, 4, 4, 0, 2, 4, 1, 1, 3, 0, 3, 3, 1, 3, 4, 4, 3, 3, 4, 2, 3, 4, 2, 0, 4, 3, 3, 0, 3, 3, 0, 0, 2, 3, 1, 1, 2, 1, 1, 2, 3, 2, 2, 1, 4, 1, 4, 4, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 3, 4, 1, 1, 1, 3, 3, 2, 2, 4, 4, 1, 0, 2, 2, 0, 3, 2, 0, 0, 0, 4, 3, 0, 4, 1, 4, 0, 4, 3, 4, 2, 1, 0, 3, 2, 4, 3, 1, 2, 4, 1, 4, 3, 2, 0, 0, 4, 4, 2, 3, 0, 4, 3, 4, 3, 4, 3, 1, 0, 4, 2, 0, 3, 1, 0, 0, 1, 4, 0, 1, 1, 2, 4, 4, 1, 2, 4, 0, 2, 2, 2, 0, 1, 0, 2, 3, 4, 1, 0, 3, 1, 1, 3, 4, 0, 4, 4, 2, 1, 1, 2, 3, 4, 4, 0, 3, 2, 0, 2, 2, 1, 4, 3, 0, 2, 0, 4, 2, 4, 2, 1, 2, 2, 0, 1, 2, 1, 3, 2, 2, 1, 4, 1, 4, 4, 1, 4, 2, 2, 0, 4, 4, 4, 2, 3, 1, 4, 3, 3, 2, 2, 0, 1, 3, 3, 0, 1, 3, 4, 4, 3, 4, 2, 3, 1, 2, 2, 2, 1, 1, 3, 4, 0, 1, 4, 3, 2, 2, 1, 4, 4, 2, 1, 2, 3, 2, 1, 4, 2, 3, 3, 0, 1, 4, 0, 3, 2, 1, 0, 2, 4, 2, 3, 3, 1, 1, 0, 4, 3, 3, 1, 2, 1, 3, 4, 1, 2, 0, 2, 4, 4, 4, 4, 1, 0, 4, 1, 0, 4, 4, 0, 1, 3, 2, 1, 0, 4, 3, 4, 2]
pubkeycol1705 = [4, 4, 2, 1, 0, 0, 1, 3, 2, 4, 4, 0, 1, 1, 3, 4, 0, 1, 3, 3, 0, 4, 1, 2, 0, 2, 0, 0, 0, 4, 4, 1, 2, 2, 2, 2, 0, 3, 3, 2, 4, 2, 0, 3, 1, 1, 2, 3, 2, 1, 4, 4, 0, 2, 4, 4, 4, 4, 1, 4, 1, 2, 0, 2, 1, 0, 3, 1, 3, 3, 0, 1, 4, 3, 0, 0, 0, 0, 1, 0, 3, 3, 1, 0, 2, 2, 2, 0, 0, 3, 1, 1, 2, 1, 4, 3, 4, 4, 1, 1, 4, 2, 3, 1, 4, 0, 2, 2, 0, 1, 0, 1, 2, 4, 4, 0, 0, 3, 1, 1, 0, 0, 4, 1, 3, 3, 4, 2, 4, 2, 1, 2, 0, 0, 4, 2, 3, 3, 0, 3, 4, 2, 2, 0, 1, 1, 4, 1, 0, 1, 4, 4, 3, 4, 4, 2, 0, 0, 2, 4, 4, 4, 2, 4, 3, 0, 4, 2, 0, 4, 3, 3, 1, 0, 2, 1, 3, 2, 1, 4, 4, 0, 3, 2, 3, 3, 2, 4, 0, 1, 2, 4, 3, 2, 3, 2, 0, 2, 4, 0, 0, 0, 2, 1, 1, 4, 4, 0, 2, 4, 2, 2, 4, 4, 2, 1, 2, 2, 4, 1, 4, 4, 4, 2, 4, 4, 4, 2, 3, 2, 1, 1, 1, 2, 4, 1, 3, 0, 2, 2, 0, 0, 3, 0, 1, 0, 0, 2, 4, 0, 0, 0, 2, 0, 4, 2, 1, 1, 3, 4, 3, 0, 1, 0, 4, 4, 1, 4, 2, 2, 0, 4, 1, 2, 0, 0, 4, 4, 2, 0, 3, 2, 0, 4, 2, 0, 2, 3, 1, 2, 0, 2, 1, 1, 4, 3, 3, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 3, 1, 2, 0, 1, 1, 0, 1, 3, 1, 1, 4, 1, 3, 0, 1, 2, 1, 1, 3, 4, 1, 3, 3, 1, 2, 1, 1, 0, 0, 0, 3, 3, 1, 1, 2, 1, 3, 0, 4, 4, 0, 0, 3, 3, 1, 0, 2, 4, 4, 3, 2, 3, 3, 2, 3, 1, 0, 4, 1, 1, 2, 3, 2, 2, 4, 3, 1, 1, 2, 1, 4, 1, 0, 3, 2, 4, 2, 4, 4, 0, 3, 0, 4, 2, 0, 0, 2, 0, 0, 1, 0, 0, 4, 0, 2, 0, 0, 1, 1, 4, 3, 1, 3, 0, 1, 2, 0, 4, 1, 0, 2, 0, 3, 0, 1, 2, 2, 2, 2, 0, 4, 0, 0, 3, 2, 2, 3, 0, 3, 3, 1, 0, 0, 3, 0, 2, 3, 2, 0, 0, 4, 3, 2, 0, 1, 2, 1, 0, 2, 2, 4, 2, 1, 4, 4, 0, 4, 4, 4, 1, 1, 1, 3, 1, 1, 1, 3, 2, 0, 3, 1, 1, 2, 4, 4, 1, 4, 2, 0, 1, 4, 0, 2, 1, 1, 3, 1, 4, 0, 4, 3, 4, 3, 3, 0, 4, 2]
pubkeycol1706 = [1, 2, 3, 0, 0, 3, 2, 1, 4, 4, 0, 3, 1, 1, 3, 1, 4, 1, 1, 0, 1, 2, 0, 3, 3, 0, 4, 0, 3, 4, 4, 2, 1, 3, 3, 2, 0, 3, 0, 3, 3, 1, 3, 1, 4, 0, 4, 1, 2, 2, 0, 1, 1, 4, 0, 0, 4, 0, 0, 3, 4, 3, 3, 2, 1, 1, 2, 0, 3, 1, 4, 0, 4, 4, 1, 0, 0, 0, 3, 4, 3, 3, 2, 1, 0, 1, 4, 1, 1, 1, 1, 2, 4, 0, 3, 1, 2, 0, 1, 4, 3, 0, 3, 4, 3, 4, 0, 3, 3, 2, 4, 4, 0, 0, 3, 1, 1, 1, 4, 3, 4, 0, 1, 2, 0, 0, 1, 1, 0, 3, 0, 3, 0, 1, 1, 2, 2, 2, 4, 0, 1, 2, 0, 3, 2, 0, 0, 4, 2, 0, 0, 3, 3, 0, 4, 1, 0, 1, 1, 4, 4, 3, 4, 1, 4, 0, 2, 4, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 4, 2, 1, 1, 2, 1, 2, 4, 1, 0, 2, 4, 2, 4, 2, 2, 0, 3, 0, 3, 4, 2, 2, 4, 1, 3, 4, 2, 0, 0, 1, 4, 4, 3, 3, 3, 0, 4, 0, 4, 4, 0, 0, 3, 4, 4, 3, 0, 0, 2, 0, 0, 0, 0, 3, 1, 1, 0, 1, 4, 1, 2, 0, 2, 4, 2, 0, 3, 0, 2, 3, 2, 3, 0, 2, 2, 0, 1, 4, 1, 3, 0, 2, 1, 0, 1, 3, 0, 1, 1, 4, 4, 2, 0, 2, 2, 4, 0, 0, 1, 0, 0, 1, 4, 0, 1, 4, 4, 2, 3, 3, 2, 1, 0, 2, 0, 2, 0, 4, 0, 0, 4, 2, 0, 0, 2, 1, 0, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 4, 0, 1, 3, 0, 2, 0, 4, 1, 3, 2, 1, 2, 1, 2, 1, 0, 1, 3, 0, 1, 3, 1, 2, 0, 0, 4, 2, 3, 2, 4, 3, 4, 3, 2, 3, 4, 2, 3, 1, 1, 1, 2, 0, 3, 0, 0, 2, 4, 1, 2, 2, 2, 3, 1, 1, 1, 3, 3, 2, 3, 4, 1, 4, 1, 1, 0, 0, 1, 3, 4, 4, 0, 0, 4, 0, 1, 3, 4, 1, 0, 3, 1, 2, 3, 3, 3, 4, 4, 4, 0, 4, 0, 2, 4, 0, 1, 0, 0, 1, 3, 2, 0, 3, 3, 4, 4, 2, 1, 4, 3, 4, 1, 4, 3, 1, 0, 0, 3, 2, 1, 0, 0, 1, 4, 0, 4, 0, 4, 1, 1, 3, 1, 4, 4, 1, 2, 4, 3, 1, 0, 1, 1, 4, 4, 1, 1, 4, 0, 1, 1, 4, 2, 2, 1, 4, 0, 4, 3, 0, 3, 2, 0, 3, 3, 2, 2, 4, 4, 1, 0, 3, 2, 4, 1, 4, 3, 0, 0, 4, 1, 4, 4, 2, 1, 3]
pubkeycol1707 = [1, 3, 1, 2, 0, 0, 1, 2, 1, 0, 4, 2, 4, 4, 4, 2, 2, 3, 1, 2, 0, 2, 2, 3, 3, 3, 4, 2, 1, 2, 0, 2, 0, 0, 0, 1, 4, 3, 2, 0, 0, 3, 0, 2, 1, 1, 2, 1, 4, 4, 1, 4, 2, 1, 1, 1, 1, 4, 4, 0, 1, 4, 1, 2, 3, 4, 2, 2, 3, 4, 4, 3, 4, 1, 4, 1, 2, 1, 4, 0, 1, 3, 4, 2, 4, 4, 1, 0, 1, 4, 2, 0, 2, 2, 4, 2, 4, 0, 1, 2, 3, 3, 3, 3, 0, 0, 0, 2, 0, 1, 1, 1, 1, 3, 2, 2, 2, 0, 2, 4, 2, 1, 2, 2, 1, 3, 1, 0, 4, 2, 4, 3, 3, 4, 1, 1, 4, 3, 2, 2, 0, 1, 2, 3, 0, 3, 3, 3, 3, 0, 2, 3, 2, 3, 4, 4, 3, 0, 0, 1, 4, 0, 0, 0, 1, 4, 1, 3, 3, 2, 1, 3, 3, 3, 4, 3, 2, 3, 4, 2, 4, 2, 0, 3, 2, 2, 2, 1, 4, 3, 3, 4, 3, 3, 0, 0, 0, 0, 0, 1, 4, 1, 1, 1, 2, 3, 2, 2, 1, 4, 0, 0, 1, 4, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 3, 4, 0, 4, 4, 2, 4, 4, 2, 1, 1, 3, 3, 2, 3, 2, 1, 4, 2, 3, 4, 0, 3, 2, 0, 4, 4, 0, 3, 3, 1, 0, 4, 2, 2, 2, 1, 0, 3, 0, 3, 4, 1, 1, 2, 2, 1, 0, 1, 4, 0, 4, 2, 0, 4, 0, 1, 3, 2, 4, 4, 3, 2, 2, 0, 0, 4, 0, 3, 2, 0, 0, 0, 0, 2, 2, 3, 4, 4, 0, 0, 4, 2, 1, 1, 1, 3, 3, 2, 1, 4, 3, 0, 0, 0, 3, 3, 2, 1, 3, 2, 3, 0, 0, 4, 1, 2, 4, 2, 2, 1, 0, 0, 1, 2, 3, 4, 1, 4, 3, 3, 3, 3, 0, 3, 4, 2, 1, 0, 2, 2, 2, 2, 3, 3, 2, 3, 3, 4, 3, 3, 2, 2, 2, 2, 2, 0, 0, 1, 2, 3, 4, 3, 1, 2, 3, 3, 2, 0, 3, 1, 0, 2, 2, 3, 0, 3, 3, 2, 3, 3, 3, 1, 2, 2, 0, 3, 0, 2, 3, 4, 3, 4, 2, 4, 2, 2, 1, 2, 4, 0, 0, 0, 0, 2, 1, 2, 3, 4, 0, 3, 0, 0, 4, 2, 0, 1, 2, 3, 3, 4, 4, 3, 0, 4, 3, 0, 2, 4, 3, 2, 2, 4, 4, 2, 0, 2, 0, 4, 3, 2, 4, 3, 1, 3, 2, 3, 1, 4, 1, 0, 4, 2, 3, 2, 1, 3, 0, 4, 4, 0, 3, 0, 2, 1, 2, 3, 4, 4, 3, 1, 4, 1, 3, 3, 1, 0, 0, 4, 3, 3, 1, 3, 3, 1, 4, 1, 1, 4]
pubkeycol1708 = [1, 4, 4, 1, 1, 1, 0, 1, 0, 2, 1, 1, 4, 3, 3, 3, 1, 4, 0, 1, 2, 1, 0, 3, 4, 4, 0, 2, 4, 0, 3, 1, 4, 3, 0, 2, 4, 1, 0, 2, 0, 2, 0, 1, 4, 4, 4, 2, 0, 0, 1, 2, 1, 3, 1, 4, 1, 3, 0, 4, 0, 1, 4, 0, 0, 0, 3, 1, 0, 3, 0, 1, 4, 3, 3, 0, 0, 3, 0, 2, 4, 1, 2, 4, 1, 1, 0, 0, 2, 4, 2, 2, 3, 3, 2, 1, 0, 3, 2, 0, 1, 3, 3, 4, 3, 4, 1, 1, 2, 2, 2, 0, 0, 4, 3, 3, 3, 0, 0, 0, 2, 4, 3, 2, 3, 3, 4, 4, 0, 2, 1, 2, 1, 3, 4, 4, 4, 4, 0, 4, 1, 4, 4, 1, 3, 0, 0, 1, 4, 3, 2, 3, 2, 1, 0, 0, 4, 1, 0, 4, 3, 4, 0, 2, 0, 3, 4, 3, 4, 1, 1, 0, 0, 0, 1, 2, 4, 0, 2, 1, 1, 1, 0, 2, 4, 1, 4, 4, 4, 2, 4, 1, 0, 3, 3, 2, 3, 1, 1, 1, 4, 4, 0, 0, 2, 1, 3, 2, 0, 2, 0, 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 2, 0, 1, 3, 0, 3, 2, 4, 4, 1, 4, 4, 3, 1, 2, 4, 0, 4, 3, 0, 0, 3, 3, 3, 0, 1, 3, 3, 3, 1, 0, 4, 1, 4, 1, 4, 2, 3, 2, 3, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 4, 3, 3, 2, 1, 4, 0, 1, 1, 4, 1, 2, 4, 1, 2, 0, 2, 2, 1, 2, 3, 2, 4, 3, 2, 4, 3, 4, 2, 0, 3, 0, 2, 3, 0, 2, 2, 3, 0, 3, 3, 0, 2, 1, 0, 4, 3, 3, 1, 1, 0, 2, 3, 3, 0, 2, 1, 3, 4, 2, 1, 4, 4, 3, 0, 2, 2, 3, 4, 1, 1, 3, 3, 2, 1, 1, 0, 4, 3, 2, 3, 3, 1, 4, 2, 0, 3, 0, 2, 2, 1, 4, 2, 4, 0, 3, 2, 2, 1, 0, 1, 1, 0, 0, 0, 3, 1, 3, 1, 4, 1, 1, 0, 0, 2, 3, 2, 3, 4, 0, 2, 2, 4, 2, 3, 1, 0, 1, 1, 2, 3, 2, 2, 4, 2, 4, 4, 3, 2, 0, 2, 0, 3, 2, 4, 2, 4, 3, 4, 3, 3, 2, 2, 2, 0, 2, 4, 1, 3, 4, 1, 4, 4, 4, 3, 4, 4, 0, 1, 1, 2, 0, 2, 4, 4, 2, 3, 2, 2, 1, 3, 3, 2, 0, 2, 1, 3, 2, 0, 2, 4, 0, 0, 3, 2, 3, 4, 1, 0, 2, 2, 4, 4, 1, 1, 0, 3, 4, 1, 1, 4, 4, 3, 3, 3, 4, 4, 0, 4, 2, 4, 4, 2, 2, 0, 4, 4, 0, 2, 1, 4, 1, 2, 2]
pubkeycol1709 = [1, 0, 4, 3, 1, 1, 4, 4, 2, 2, 4, 0, 2, 0, 1, 4, 1, 4, 1, 4, 0, 3, 2, 4, 2, 0, 1, 3, 2, 4, 0, 3, 0, 3, 1, 1, 3, 4, 0, 4, 0, 1, 4, 3, 4, 0, 0, 1, 1, 3, 4, 4, 3, 0, 2, 4, 2, 2, 1, 3, 4, 3, 2, 4, 3, 3, 1, 2, 4, 3, 3, 0, 4, 4, 0, 4, 0, 4, 2, 2, 3, 4, 4, 0, 0, 2, 0, 4, 2, 2, 1, 1, 3, 0, 2, 0, 0, 3, 0, 3, 2, 2, 2, 4, 0, 4, 0, 2, 4, 1, 3, 2, 2, 4, 0, 0, 0, 2, 2, 2, 3, 0, 1, 4, 3, 4, 2, 2, 4, 0, 0, 4, 0, 1, 2, 1, 2, 0, 2, 1, 0, 4, 2, 3, 1, 4, 2, 4, 4, 0, 2, 3, 1, 1, 1, 4, 0, 3, 3, 1, 3, 4, 3, 2, 3, 1, 4, 2, 3, 3, 0, 2, 3, 0, 4, 1, 4, 2, 4, 1, 1, 3, 2, 0, 3, 4, 0, 3, 3, 3, 1, 3, 1, 4, 1, 1, 0, 3, 3, 0, 3, 3, 1, 1, 4, 3, 1, 0, 4, 3, 4, 3, 3, 4, 2, 1, 4, 0, 4, 3, 2, 1, 0, 3, 1, 2, 3, 2, 1, 1, 0, 0, 0, 0, 3, 3, 2, 0, 2, 0, 0, 3, 2, 4, 0, 2, 2, 0, 0, 3, 2, 4, 1, 4, 1, 1, 3, 2, 1, 3, 1, 3, 1, 3, 3, 4, 3, 2, 3, 0, 2, 3, 1, 3, 2, 1, 4, 0, 4, 4, 1, 4, 3, 4, 0, 4, 2, 1, 3, 3, 0, 1, 0, 3, 2, 2, 3, 0, 2, 2, 4, 0, 2, 4, 1, 0, 4, 1, 3, 1, 1, 2, 3, 4, 2, 0, 2, 2, 2, 2, 2, 4, 4, 4, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 4, 1, 4, 1, 1, 2, 3, 0, 1, 4, 0, 0, 0, 0, 4, 0, 3, 4, 1, 4, 2, 2, 0, 4, 2, 0, 3, 2, 4, 1, 2, 2, 2, 0, 2, 0, 4, 0, 2, 3, 1, 0, 3, 4, 2, 4, 4, 4, 2, 4, 1, 2, 0, 3, 2, 4, 4, 3, 2, 2, 3, 3, 1, 2, 0, 0, 0, 3, 2, 3, 0, 0, 1, 3, 0, 3, 4, 3, 4, 4, 3, 3, 4, 3, 3, 0, 0, 3, 0, 3, 0, 4, 1, 1, 1, 1, 4, 2, 3, 2, 3, 2, 0, 1, 1, 4, 4, 2, 4, 4, 2, 3, 0, 2, 4, 2, 4, 1, 0, 4, 1, 4, 3, 4, 3, 4, 0, 0, 4, 4, 0, 3, 3, 2, 0, 2, 1, 2, 4, 0, 0, 2, 3, 2, 0, 3, 3, 4, 2, 1, 4, 1, 3, 0, 4, 4, 4, 3, 1, 2, 1, 4, 3, 3, 2, 4, 2, 2, 1, 4, 4]
pubkeycol1710 = [4, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 3, 4, 3, 0, 1, 4, 0, 4, 4, 3, 4, 0, 2, 0, 4, 4, 4, 1, 0, 1, 1, 3, 2, 0, 1, 0, 3, 0, 4, 3, 3, 3, 1, 0, 0, 0, 1, 3, 2, 1, 4, 4, 3, 4, 4, 1, 4, 2, 0, 3, 1, 2, 3, 2, 1, 4, 3, 4, 4, 0, 0, 1, 2, 1, 3, 1, 1, 2, 0, 4, 0, 3, 1, 1, 4, 2, 3, 0, 1, 0, 0, 3, 2, 0, 3, 2, 2, 2, 2, 4, 2, 2, 2, 4, 1, 1, 3, 2, 1, 0, 3, 2, 2, 1, 2, 0, 3, 4, 3, 2, 0, 2, 0, 4, 0, 3, 1, 0, 4, 2, 2, 1, 2, 4, 4, 2, 1, 1, 2, 3, 2, 0, 1, 1, 0, 0, 4, 4, 0, 1, 2, 4, 2, 0, 4, 0, 4, 2, 4, 3, 1, 4, 3, 3, 3, 1, 1, 2, 0, 1, 2, 2, 3, 3, 3, 3, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 4, 4, 4, 4, 4, 4, 0, 4, 3, 0, 3, 3, 3, 4, 2, 2, 3, 0, 3, 3, 4, 2, 3, 3, 2, 2, 3, 3, 3, 2, 4, 0, 3, 1, 2, 2, 3, 0, 2, 3, 4, 3, 4, 4, 0, 2, 4, 2, 3, 2, 2, 1, 4, 2, 1, 0, 2, 2, 0, 0, 1, 4, 0, 0, 4, 0, 2, 0, 4, 4, 1, 1, 3, 4, 1, 0, 1, 0, 4, 2, 1, 1, 2, 2, 1, 0, 3, 4, 1, 1, 4, 0, 1, 1, 1, 1, 2, 3, 3, 1, 4, 2, 0, 4, 1, 1, 4, 4, 3, 4, 4, 4, 4, 4, 2, 0, 4, 0, 1, 4, 4, 3, 0, 4, 2, 3, 0, 4, 1, 1, 2, 4, 1, 0, 2, 3, 2, 0, 2, 0, 2, 0, 1, 2, 3, 4, 2, 3, 3, 0, 4, 1, 3, 4, 1, 1, 2, 0, 0, 0, 0, 1, 0, 4, 2, 1, 0, 3, 3, 1, 2, 3, 3, 1, 0, 1, 3, 1, 1, 2, 0, 0, 0, 1, 0, 2, 4, 3, 2, 4, 0, 1, 1, 3, 2, 1, 3, 0, 4, 0, 2, 1, 3, 0, 1, 1, 0, 4, 0, 1, 4, 3, 0, 3, 4, 2, 0, 3, 2, 1, 3, 0, 0, 4, 3, 0, 0, 4, 3, 0, 4, 0, 4, 1, 4, 1, 4, 1, 1, 0, 4, 0, 3, 4, 4, 3, 4, 0, 4, 2, 0, 1, 0, 0, 2, 4, 2, 4, 4, 2, 1, 4, 0, 3, 0, 4, 4, 4, 1, 4, 0, 4, 3, 3, 4, 0, 3, 4, 0, 1, 0, 2, 4, 3, 3, 2, 3, 3, 3, 4, 3, 3, 2, 3, 2, 4, 0, 4, 4, 4, 0, 2, 4, 3, 2, 2, 1, 2, 1, 1, 1, 1, 3, 2]
pubkeycol1711 = [3, 0, 0, 4, 1, 3, 2, 0, 2, 1, 0, 3, 0, 2, 2, 4, 0, 1, 0, 3, 3, 4, 3, 3, 2, 3, 2, 3, 4, 3, 4, 2, 3, 2, 0, 3, 3, 0, 1, 0, 3, 1, 1, 4, 4, 1, 0, 2, 4, 0, 3, 3, 2, 0, 4, 2, 4, 2, 3, 3, 4, 4, 0, 4, 4, 2, 2, 3, 4, 4, 2, 3, 1, 0, 0, 3, 1, 2, 4, 2, 4, 2, 2, 0, 3, 2, 0, 3, 0, 4, 3, 0, 1, 0, 3, 4, 1, 2, 2, 4, 3, 2, 0, 0, 2, 1, 2, 2, 0, 4, 1, 1, 2, 2, 3, 4, 2, 2, 0, 1, 0, 2, 2, 1, 4, 4, 1, 3, 4, 2, 1, 2, 4, 3, 2, 1, 3, 3, 1, 4, 3, 3, 2, 4, 0, 0, 3, 1, 3, 1, 2, 1, 1, 1, 4, 3, 4, 3, 2, 2, 3, 4, 4, 0, 4, 3, 4, 1, 3, 4, 1, 3, 3, 1, 3, 4, 2, 1, 3, 1, 4, 4, 0, 1, 3, 4, 4, 3, 4, 2, 4, 0, 4, 2, 2, 0, 4, 4, 2, 1, 2, 0, 4, 2, 4, 1, 4, 4, 0, 2, 2, 1, 4, 0, 0, 0, 1, 2, 4, 0, 2, 4, 4, 1, 2, 1, 3, 0, 3, 4, 3, 1, 1, 3, 0, 2, 1, 1, 4, 3, 2, 2, 3, 3, 3, 2, 4, 4, 1, 0, 3, 4, 0, 1, 4, 3, 3, 2, 4, 3, 4, 4, 4, 3, 4, 2, 1, 1, 2, 1, 3, 1, 2, 2, 0, 2, 2, 4, 0, 2, 4, 3, 1, 4, 0, 2, 1, 0, 2, 0, 4, 0, 4, 4, 1, 2, 4, 3, 4, 4, 0, 3, 4, 4, 2, 4, 3, 0, 2, 1, 4, 2, 0, 2, 3, 3, 4, 3, 0, 0, 4, 1, 0, 1, 3, 2, 4, 0, 2, 0, 1, 3, 3, 0, 0, 4, 2, 2, 2, 2, 4, 4, 4, 1, 4, 1, 0, 4, 4, 3, 3, 0, 0, 3, 0, 2, 4, 1, 4, 0, 1, 1, 0, 4, 3, 2, 0, 4, 2, 1, 2, 2, 3, 0, 3, 2, 3, 0, 0, 4, 3, 1, 1, 4, 4, 2, 3, 3, 4, 0, 0, 2, 1, 3, 3, 2, 1, 4, 1, 4, 3, 3, 3, 4, 2, 0, 3, 3, 4, 1, 1, 2, 2, 3, 1, 4, 4, 2, 4, 0, 1, 4, 3, 2, 2, 2, 2, 1, 0, 3, 4, 0, 3, 4, 3, 3, 4, 4, 2, 1, 1, 3, 4, 4, 2, 2, 4, 0, 3, 3, 4, 2, 4, 3, 4, 2, 1, 1, 3, 1, 0, 1, 1, 3, 2, 2, 1, 1, 4, 1, 3, 1, 0, 3, 3, 0, 4, 1, 1, 3, 3, 0, 4, 2, 2, 1, 4, 3, 1, 0, 1, 2, 2, 0, 3, 2, 2, 2, 3, 0, 4, 0, 2, 3, 4]
pubkeycol1712 = [0, 3, 1, 2, 1, 0, 1, 2, 3, 3, 2, 0, 2, 2, 2, 1, 1, 4, 4, 4, 4, 4, 2, 2, 4, 2, 0, 4, 1, 0, 3, 3, 0, 4, 4, 1, 4, 0, 4, 3, 1, 3, 2, 0, 4, 1, 4, 2, 2, 3, 2, 2, 1, 4, 4, 0, 2, 2, 1, 2, 1, 2, 4, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 4, 4, 0, 1, 4, 0, 1, 2, 4, 4, 2, 3, 2, 4, 3, 0, 3, 3, 1, 2, 4, 3, 2, 3, 3, 1, 4, 0, 2, 2, 4, 2, 3, 0, 2, 0, 1, 2, 2, 3, 0, 4, 2, 2, 1, 4, 0, 4, 0, 0, 2, 0, 0, 2, 2, 2, 2, 4, 1, 0, 4, 4, 1, 4, 0, 3, 4, 2, 1, 0, 4, 4, 3, 3, 3, 0, 4, 2, 1, 3, 3, 1, 1, 4, 1, 1, 0, 3, 4, 0, 2, 1, 4, 0, 1, 0, 3, 0, 4, 0, 2, 1, 4, 0, 3, 3, 0, 1, 0, 1, 0, 0, 0, 4, 3, 2, 2, 4, 2, 4, 2, 4, 1, 0, 2, 1, 1, 3, 2, 3, 4, 4, 1, 0, 1, 4, 3, 3, 2, 0, 4, 0, 3, 4, 4, 3, 4, 4, 4, 1, 2, 3, 4, 2, 4, 2, 0, 0, 1, 1, 0, 4, 4, 1, 4, 0, 0, 1, 3, 0, 0, 1, 3, 4, 0, 2, 3, 3, 0, 3, 2, 2, 4, 0, 0, 1, 1, 4, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 4, 0, 2, 0, 2, 2, 4, 2, 1, 2, 1, 1, 3, 2, 2, 1, 0, 4, 4, 4, 1, 0, 2, 1, 3, 4, 0, 1, 3, 1, 4, 4, 0, 1, 3, 1, 0, 1, 4, 2, 4, 1, 0, 2, 1, 3, 0, 1, 1, 0, 4, 0, 2, 2, 0, 0, 2, 0, 3, 2, 0, 3, 1, 0, 0, 3, 0, 4, 0, 4, 3, 1, 1, 2, 0, 3, 4, 1, 1, 1, 2, 1, 1, 0, 3, 0, 4, 4, 3, 4, 2, 4, 0, 0, 0, 4, 3, 4, 4, 0, 2, 0, 3, 0, 0, 0, 4, 0, 2, 1, 0, 4, 0, 2, 1, 0, 2, 1, 0, 4, 0, 2, 2, 3, 3, 0, 3, 3, 3, 0, 0, 1, 3, 3, 0, 4, 4, 3, 3, 3, 0, 2, 4, 4, 2, 4, 4, 1, 2, 3, 2, 1, 2, 0, 0, 3, 0, 4, 4, 1, 2, 4, 0, 3, 3, 0, 4, 2, 3, 4, 2, 2, 1, 1, 0, 4, 3, 1, 4, 1, 1, 1, 3, 1, 1, 4, 1, 4, 3, 0, 3, 0, 1, 1, 1, 0, 4, 2, 3, 0, 2, 2, 0, 4, 0, 3, 4, 2, 3, 0, 1, 0, 2, 3, 4, 4, 1, 3, 3, 1, 2, 2, 2, 2, 3, 4, 2, 0, 1, 0, 1, 1, 2]
pubkeycol1713 = [1, 4, 3, 2, 2, 0, 3, 3, 3, 4, 2, 0, 2, 0, 2, 4, 2, 2, 0, 3, 3, 0, 4, 1, 4, 2, 0, 1, 0, 1, 0, 4, 4, 0, 2, 3, 0, 2, 2, 0, 2, 3, 2, 3, 4, 1, 4, 0, 2, 3, 2, 3, 0, 0, 2, 2, 3, 0, 1, 2, 0, 1, 3, 1, 3, 1, 1, 2, 0, 2, 3, 3, 4, 2, 2, 1, 3, 0, 0, 4, 0, 3, 3, 2, 4, 2, 4, 1, 0, 2, 1, 0, 4, 4, 3, 2, 0, 3, 2, 1, 2, 2, 2, 1, 4, 0, 4, 4, 2, 4, 3, 3, 2, 2, 0, 2, 1, 1, 3, 4, 2, 1, 2, 2, 1, 1, 0, 4, 1, 2, 0, 0, 3, 3, 0, 0, 0, 2, 3, 2, 2, 1, 3, 2, 2, 0, 3, 1, 0, 1, 2, 3, 0, 1, 3, 4, 2, 2, 1, 0, 2, 2, 3, 4, 2, 4, 2, 2, 0, 4, 3, 1, 0, 3, 1, 3, 1, 0, 1, 3, 2, 1, 0, 4, 2, 3, 0, 1, 4, 3, 0, 2, 0, 2, 1, 4, 3, 4, 2, 4, 3, 3, 1, 0, 2, 0, 2, 0, 0, 1, 3, 4, 2, 3, 0, 3, 0, 3, 3, 1, 2, 4, 3, 0, 4, 3, 2, 4, 0, 4, 0, 0, 4, 4, 1, 3, 1, 3, 1, 2, 4, 4, 2, 4, 4, 4, 2, 1, 3, 2, 4, 2, 1, 0, 1, 3, 0, 4, 1, 2, 0, 3, 3, 2, 3, 3, 2, 1, 0, 1, 4, 4, 0, 2, 1, 4, 3, 4, 3, 2, 0, 3, 0, 1, 1, 1, 4, 4, 0, 2, 0, 3, 3, 1, 0, 4, 4, 3, 1, 1, 2, 4, 2, 2, 1, 3, 3, 1, 2, 0, 2, 1, 4, 3, 0, 0, 3, 3, 3, 2, 0, 3, 4, 3, 2, 1, 2, 1, 3, 2, 4, 4, 4, 1, 3, 0, 1, 4, 0, 0, 2, 3, 2, 0, 1, 0, 4, 1, 1, 2, 4, 0, 2, 1, 1, 3, 1, 4, 4, 3, 2, 2, 4, 0, 4, 2, 4, 1, 4, 0, 3, 1, 2, 3, 2, 3, 0, 3, 0, 1, 3, 3, 0, 4, 2, 0, 4, 4, 3, 2, 0, 0, 4, 2, 0, 3, 4, 0, 0, 0, 1, 1, 0, 4, 4, 0, 1, 4, 3, 2, 1, 2, 3, 2, 4, 0, 0, 4, 1, 2, 0, 0, 1, 3, 4, 3, 0, 2, 3, 3, 2, 0, 1, 2, 3, 4, 4, 2, 4, 0, 2, 4, 3, 1, 0, 1, 1, 4, 0, 3, 2, 2, 4, 0, 1, 4, 4, 1, 3, 3, 2, 1, 1, 3, 2, 2, 0, 1, 4, 4, 1, 4, 0, 0, 0, 3, 4, 2, 1, 4, 2, 2, 0, 4, 0, 2, 0, 1, 0, 3, 0, 2, 0, 3, 4, 1, 2, 0, 0, 4, 4, 3, 2, 0, 3]
pubkeycol1714 = [1, 3, 3, 2, 1, 0, 3, 4, 0, 0, 2, 0, 3, 4, 3, 3, 4, 0, 3, 3, 4, 3, 4, 1, 1, 4, 4, 0, 4, 2, 0, 2, 0, 2, 3, 2, 0, 0, 0, 0, 0, 1, 1, 4, 3, 1, 0, 2, 2, 2, 3, 4, 1, 2, 0, 3, 2, 4, 3, 2, 1, 3, 3, 0, 2, 1, 4, 4, 2, 2, 1, 2, 3, 2, 4, 1, 0, 1, 2, 3, 3, 4, 2, 0, 1, 1, 4, 2, 1, 0, 1, 2, 1, 2, 0, 4, 2, 0, 0, 4, 3, 3, 1, 0, 0, 0, 2, 0, 3, 2, 4, 2, 3, 2, 3, 4, 0, 3, 4, 2, 4, 1, 3, 2, 0, 2, 1, 3, 0, 2, 1, 0, 0, 3, 0, 1, 0, 0, 1, 3, 2, 0, 3, 0, 0, 3, 2, 0, 0, 2, 3, 2, 2, 2, 4, 4, 1, 2, 2, 4, 0, 3, 1, 4, 2, 0, 0, 2, 4, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 3, 2, 0, 0, 4, 2, 3, 3, 3, 2, 4, 3, 3, 0, 0, 2, 3, 3, 4, 2, 0, 4, 2, 2, 3, 2, 2, 1, 0, 3, 3, 0, 3, 4, 1, 0, 2, 0, 0, 2, 3, 2, 1, 2, 1, 0, 1, 2, 2, 3, 4, 0, 3, 3, 1, 3, 1, 0, 2, 2, 3, 4, 4, 1, 1, 4, 1, 0, 3, 0, 3, 1, 0, 4, 2, 4, 4, 2, 3, 2, 1, 0, 3, 3, 2, 1, 4, 1, 1, 3, 3, 0, 4, 1, 1, 0, 3, 0, 0, 4, 2, 1, 4, 1, 1, 4, 0, 2, 4, 3, 1, 1, 3, 2, 2, 1, 3, 2, 4, 2, 4, 0, 4, 3, 2, 0, 1, 2, 0, 0, 3, 1, 3, 0, 0, 1, 4, 1, 2, 1, 2, 0, 0, 1, 4, 3, 4, 2, 0, 4, 4, 1, 1, 0, 3, 2, 0, 1, 0, 4, 4, 3, 0, 2, 3, 2, 2, 2, 0, 4, 3, 4, 4, 1, 1, 1, 1, 4, 1, 4, 0, 1, 3, 2, 2, 1, 3, 2, 0, 2, 3, 2, 1, 4, 0, 1, 4, 4, 0, 0, 1, 3, 0, 3, 1, 1, 2, 0, 1, 1, 4, 0, 3, 4, 3, 1, 4, 3, 0, 4, 4, 0, 4, 1, 2, 4, 3, 4, 1, 2, 3, 3, 3, 2, 4, 3, 4, 4, 3, 2, 3, 1, 2, 0, 4, 3, 3, 3, 1, 0, 0, 4, 0, 3, 2, 4, 3, 1, 2, 3, 4, 4, 3, 3, 0, 4, 3, 0, 3, 3, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 3, 1, 4, 4, 3, 3, 1, 2, 3, 3, 1, 0, 2, 3, 3, 0, 2, 2, 3, 0, 1, 1, 0, 2, 1, 1, 2, 1, 3, 3, 1, 2, 3, 4, 1, 4, 0, 4, 1, 2, 1, 1, 0, 2, 1, 4]
pubkeycol1715 = [0, 0, 2, 2, 1, 1, 1, 4, 2, 0, 4, 0, 1, 2, 3, 3, 1, 3, 3, 0, 0, 2, 2, 0, 4, 3, 0, 3, 3, 4, 0, 1, 0, 2, 3, 1, 1, 2, 4, 0, 3, 3, 3, 4, 2, 1, 1, 3, 1, 4, 1, 0, 1, 3, 0, 4, 4, 2, 3, 1, 2, 3, 4, 3, 0, 2, 3, 1, 2, 3, 2, 4, 0, 1, 2, 4, 1, 3, 2, 1, 3, 0, 4, 2, 1, 0, 3, 3, 4, 2, 4, 1, 4, 3, 1, 1, 4, 2, 1, 2, 0, 2, 4, 0, 3, 0, 3, 1, 0, 1, 3, 0, 2, 1, 4, 4, 2, 1, 3, 0, 0, 1, 4, 4, 4, 4, 0, 1, 0, 3, 2, 4, 4, 3, 2, 4, 1, 2, 0, 3, 4, 4, 1, 0, 4, 4, 0, 1, 4, 4, 4, 1, 1, 1, 4, 0, 0, 0, 2, 1, 1, 0, 3, 0, 2, 3, 2, 1, 0, 2, 1, 4, 4, 3, 2, 3, 4, 3, 0, 2, 4, 3, 2, 0, 3, 2, 3, 0, 3, 1, 3, 0, 1, 2, 2, 3, 3, 3, 2, 4, 2, 0, 0, 0, 3, 1, 4, 1, 3, 2, 1, 0, 4, 0, 2, 2, 4, 2, 4, 1, 2, 0, 1, 3, 4, 2, 4, 1, 1, 1, 4, 0, 2, 2, 3, 2, 2, 0, 2, 3, 0, 4, 4, 4, 4, 4, 0, 3, 2, 0, 1, 3, 1, 0, 4, 1, 0, 3, 4, 0, 3, 1, 0, 3, 2, 0, 3, 4, 2, 4, 0, 2, 3, 2, 0, 3, 2, 2, 0, 3, 4, 4, 1, 3, 3, 2, 4, 0, 2, 0, 3, 3, 3, 4, 4, 1, 0, 1, 2, 1, 3, 0, 3, 1, 2, 1, 3, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 3, 3, 0, 2, 3, 0, 3, 4, 1, 3, 3, 2, 0, 1, 4, 3, 4, 2, 4, 0, 4, 3, 0, 0, 0, 1, 4, 3, 3, 3, 1, 4, 3, 0, 2, 4, 0, 2, 3, 3, 1, 0, 0, 0, 3, 4, 4, 3, 3, 4, 0, 0, 3, 4, 2, 3, 1, 3, 4, 4, 3, 3, 0, 2, 1, 3, 3, 3, 2, 1, 0, 3, 2, 2, 2, 4, 2, 2, 1, 1, 2, 4, 4, 0, 2, 2, 2, 4, 1, 1, 0, 2, 3, 4, 1, 0, 0, 2, 4, 2, 4, 3, 2, 3, 2, 1, 0, 3, 1, 2, 1, 3, 4, 1, 4, 3, 0, 4, 0, 1, 1, 0, 0, 3, 4, 1, 3, 3, 0, 2, 2, 0, 1, 0, 3, 3, 3, 4, 0, 2, 3, 4, 4, 2, 2, 3, 1, 3, 4, 4, 0, 4, 0, 3, 1, 2, 3, 0, 1, 2, 4, 2, 0, 0, 4, 1, 1, 3, 0, 2, 0, 2, 0, 3, 2, 2, 0, 2, 1, 1, 4, 1, 4, 1, 4, 0, 1]
pubkeycol1716 = [1, 0, 3, 4, 0, 4, 0, 1, 3, 2, 2, 3, 1, 1, 0, 4, 2, 4, 1, 1, 2, 2, 2, 2, 3, 1, 2, 4, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 3, 4, 0, 0, 4, 0, 4, 3, 3, 1, 2, 1, 2, 0, 4, 1, 0, 0, 1, 3, 4, 3, 0, 0, 3, 4, 3, 2, 1, 2, 1, 4, 0, 3, 3, 1, 1, 1, 3, 4, 0, 4, 0, 1, 1, 0, 1, 3, 3, 1, 0, 0, 4, 1, 0, 3, 1, 0, 0, 4, 4, 0, 2, 1, 4, 1, 4, 0, 3, 3, 4, 4, 1, 2, 1, 2, 3, 2, 2, 1, 0, 3, 4, 2, 2, 0, 2, 0, 3, 4, 2, 3, 3, 3, 4, 0, 3, 1, 0, 4, 3, 4, 0, 0, 0, 2, 2, 1, 3, 3, 0, 1, 3, 1, 2, 2, 4, 3, 2, 3, 1, 1, 2, 4, 3, 0, 3, 1, 2, 4, 2, 2, 1, 0, 4, 3, 1, 2, 2, 4, 3, 3, 4, 2, 2, 4, 2, 0, 2, 3, 0, 1, 0, 3, 3, 3, 1, 0, 3, 3, 3, 2, 3, 2, 2, 3, 3, 4, 2, 1, 0, 3, 0, 4, 2, 1, 0, 3, 0, 4, 1, 1, 0, 2, 0, 3, 4, 0, 4, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 3, 4, 4, 4, 3, 3, 4, 0, 1, 4, 2, 1, 4, 3, 1, 3, 3, 3, 1, 0, 0, 2, 4, 0, 4, 2, 1, 4, 4, 0, 0, 4, 0, 4, 1, 1, 2, 3, 0, 1, 0, 0, 1, 3, 4, 0, 4, 2, 0, 3, 0, 0, 3, 4, 0, 3, 3, 3, 1, 4, 4, 1, 3, 4, 1, 4, 0, 3, 0, 3, 4, 1, 2, 4, 0, 0, 4, 3, 1, 0, 1, 4, 1, 1, 3, 2, 3, 1, 2, 3, 3, 3, 4, 2, 0, 1, 2, 2, 3, 3, 2, 1, 1, 3, 3, 4, 1, 2, 1, 4, 4, 4, 4, 2, 0, 3, 4, 0, 1, 1, 2, 4, 3, 3, 2, 3, 0, 2, 3, 2, 0, 3, 4, 3, 0, 3, 2, 3, 4, 1, 1, 0, 1, 1, 3, 4, 3, 0, 2, 3, 4, 4, 1, 4, 0, 4, 2, 0, 1, 2, 1, 1, 4, 1, 0, 3, 2, 2, 4, 0, 0, 2, 2, 3, 1, 0, 4, 1, 1, 4, 0, 1, 4, 1, 0, 2, 1, 4, 1, 4, 1, 1, 0, 0, 3, 3, 2, 0, 1, 0, 4, 3, 1, 4, 0, 1, 4, 2, 2, 3, 3, 1, 1, 4, 2, 4, 2, 0, 0, 1, 1, 3, 3, 0, 0, 3, 1, 1, 1, 3, 1, 3, 0, 1, 4, 4, 4, 1, 0, 1, 2, 3, 4, 0, 2, 2, 3, 3, 4, 1, 3, 1, 4, 0, 2, 0, 0, 1, 2, 3, 4, 0, 4, 0, 3, 3, 1]
pubkeycol1717 = [0, 3, 0, 2, 0, 2, 3, 3, 0, 0, 3, 0, 3, 3, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 3, 3, 1, 3, 0, 0, 0, 0, 0, 4, 2, 4, 1, 1, 4, 4, 2, 4, 0, 2, 4, 3, 3, 4, 0, 4, 2, 0, 2, 3, 4, 2, 0, 1, 0, 1, 4, 1, 3, 0, 4, 4, 1, 4, 2, 2, 1, 4, 0, 3, 3, 2, 2, 2, 0, 1, 3, 2, 1, 0, 4, 4, 2, 1, 0, 3, 3, 0, 0, 1, 2, 0, 4, 4, 1, 2, 4, 4, 0, 3, 4, 1, 4, 3, 1, 3, 0, 2, 0, 2, 2, 4, 3, 1, 1, 3, 0, 3, 1, 0, 0, 3, 3, 2, 3, 0, 2, 2, 1, 2, 0, 3, 3, 4, 4, 2, 3, 3, 2, 1, 0, 1, 0, 3, 3, 3, 3, 2, 2, 1, 4, 3, 3, 2, 3, 3, 3, 4, 0, 1, 0, 0, 3, 3, 1, 1, 0, 3, 4, 3, 0, 4, 3, 3, 1, 4, 4, 0, 2, 3, 3, 3, 1, 3, 3, 0, 4, 2, 0, 0, 4, 4, 0, 0, 2, 2, 3, 4, 1, 1, 4, 2, 4, 0, 2, 4, 4, 0, 2, 0, 0, 2, 1, 3, 1, 1, 1, 2, 4, 0, 1, 3, 3, 1, 0, 0, 0, 3, 2, 4, 4, 1, 4, 0, 1, 2, 3, 2, 2, 0, 1, 1, 0, 4, 2, 1, 1, 2, 1, 1, 0, 4, 4, 2, 0, 3, 4, 3, 2, 2, 2, 4, 1, 0, 0, 0, 4, 3, 1, 2, 2, 4, 0, 2, 3, 0, 2, 0, 1, 3, 0, 2, 3, 4, 0, 2, 4, 2, 4, 1, 4, 4, 1, 4, 1, 4, 4, 3, 4, 3, 0, 1, 2, 3, 4, 4, 2, 2, 2, 4, 0, 3, 2, 2, 2, 1, 4, 4, 3, 4, 0, 0, 2, 3, 4, 2, 2, 3, 0, 3, 2, 0, 0, 3, 0, 3, 2, 3, 3, 0, 3, 4, 2, 3, 3, 4, 2, 2, 4, 2, 2, 2, 2, 1, 4, 3, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2, 0, 2, 4, 0, 2, 3, 4, 1, 0, 1, 3, 4, 4, 3, 2, 4, 3, 0, 0, 3, 2, 3, 2, 4, 4, 3, 3, 0, 1, 3, 0, 0, 3, 4, 2, 0, 3, 2, 2, 0, 4, 2, 3, 1, 0, 0, 0, 3, 1, 0, 2, 1, 2, 1, 2, 2, 4, 0, 0, 4, 1, 1, 2, 1, 3, 1, 2, 1, 3, 4, 3, 2, 4, 4, 4, 3, 2, 1, 1, 4, 1, 0, 0, 3, 0, 0, 1, 3, 4, 4, 3, 1, 4, 0, 0, 4, 3, 2, 2, 3, 3, 3, 0, 4, 4, 1, 4, 2, 4, 1, 1, 1, 0, 1, 4, 2, 0, 3, 4, 4, 4, 2, 3, 4, 3, 4, 2, 1, 0, 0, 4, 3, 4, 2]
pubkeycol1718 = [1, 2, 0, 4, 1, 4, 3, 4, 0, 2, 0, 3, 2, 4, 4, 4, 4, 2, 2, 4, 3, 2, 0, 1, 3, 4, 0, 1, 2, 3, 4, 2, 0, 3, 3, 1, 2, 4, 2, 1, 3, 0, 3, 1, 1, 1, 3, 0, 4, 0, 4, 3, 4, 3, 3, 0, 4, 3, 4, 4, 1, 4, 2, 4, 1, 4, 4, 3, 3, 4, 1, 1, 3, 0, 0, 1, 0, 3, 4, 4, 0, 2, 3, 2, 2, 1, 4, 2, 1, 3, 4, 3, 3, 1, 0, 2, 4, 2, 3, 3, 0, 1, 2, 3, 4, 2, 1, 0, 1, 2, 0, 4, 0, 3, 0, 1, 3, 2, 4, 4, 4, 1, 1, 1, 4, 2, 2, 1, 4, 3, 1, 4, 2, 2, 0, 4, 4, 1, 0, 3, 4, 2, 3, 0, 2, 0, 2, 1, 3, 1, 3, 4, 4, 3, 3, 3, 0, 1, 2, 1, 1, 4, 0, 3, 3, 2, 2, 3, 4, 4, 4, 4, 0, 2, 3, 1, 1, 2, 3, 1, 2, 1, 4, 4, 1, 2, 1, 3, 1, 4, 0, 1, 1, 3, 2, 3, 2, 3, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 4, 1, 2, 2, 0, 1, 0, 3, 0, 4, 2, 4, 0, 1, 0, 1, 2, 2, 1, 2, 1, 3, 1, 2, 3, 4, 2, 4, 0, 2, 4, 4, 0, 1, 0, 0, 0, 4, 0, 0, 3, 4, 2, 0, 4, 1, 1, 2, 3, 2, 0, 0, 3, 4, 2, 3, 3, 3, 0, 4, 3, 3, 2, 2, 3, 0, 1, 3, 0, 1, 0, 3, 2, 4, 3, 4, 0, 3, 2, 2, 0, 0, 1, 3, 4, 4, 3, 3, 1, 3, 4, 0, 4, 3, 4, 2, 2, 1, 4, 1, 0, 0, 0, 2, 4, 4, 1, 2, 3, 1, 2, 3, 1, 2, 0, 2, 4, 0, 1, 4, 2, 4, 1, 4, 3, 3, 2, 2, 0, 3, 2, 1, 3, 3, 3, 1, 3, 3, 3, 2, 0, 3, 3, 0, 0, 2, 3, 4, 1, 4, 2, 1, 1, 1, 0, 0, 3, 1, 1, 1, 4, 3, 0, 2, 3, 3, 1, 4, 1, 1, 3, 4, 0, 1, 1, 0, 2, 1, 1, 1, 4, 3, 0, 2, 2, 3, 0, 4, 0, 2, 1, 2, 2, 3, 2, 2, 4, 2, 2, 1, 2, 1, 2, 3, 1, 2, 2, 4, 0, 4, 0, 2, 4, 1, 1, 0, 3, 3, 4, 3, 1, 0, 0, 4, 4, 3, 1, 1, 0, 1, 4, 1, 3, 3, 0, 2, 2, 2, 3, 1, 0, 2, 4, 1, 0, 3, 4, 0, 3, 4, 2, 4, 3, 1, 0, 1, 4, 1, 4, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 4, 0, 1, 2, 1, 3, 2, 3, 4, 0, 2, 3, 0, 1, 2, 1, 3, 3, 0, 0, 0, 0, 1, 1, 0, 2, 4]
pubkeycol1719 = [4, 4, 2, 3, 0, 4, 3, 3, 3, 2, 2, 4, 4, 0, 2, 3, 4, 1, 3, 3, 1, 3, 3, 4, 4, 1, 2, 1, 3, 3, 4, 4, 0, 4, 4, 0, 1, 1, 0, 4, 3, 2, 1, 4, 3, 3, 1, 1, 4, 4, 0, 4, 3, 1, 2, 2, 4, 0, 4, 2, 0, 2, 3, 2, 3, 2, 3, 1, 4, 3, 0, 1, 3, 2, 3, 2, 4, 0, 4, 3, 2, 1, 1, 0, 3, 3, 1, 0, 3, 0, 4, 3, 4, 4, 1, 1, 2, 0, 4, 1, 1, 2, 0, 0, 2, 4, 0, 4, 1, 0, 3, 3, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 4, 1, 4, 4, 3, 1, 4, 4, 0, 3, 2, 3, 1, 1, 2, 4, 1, 3, 4, 0, 2, 0, 4, 0, 3, 2, 2, 1, 1, 2, 1, 2, 3, 0, 2, 0, 0, 0, 3, 1, 3, 2, 3, 2, 3, 0, 0, 4, 4, 1, 1, 3, 1, 1, 4, 0, 0, 1, 2, 3, 3, 4, 4, 0, 1, 4, 0, 4, 3, 3, 2, 1, 4, 3, 1, 2, 0, 4, 1, 2, 3, 4, 2, 0, 2, 1, 1, 2, 0, 3, 1, 1, 1, 0, 4, 4, 2, 0, 3, 1, 1, 3, 0, 3, 1, 3, 4, 4, 1, 1, 0, 0, 2, 1, 1, 4, 1, 4, 0, 0, 1, 3, 0, 0, 0, 4, 4, 1, 3, 4, 3, 3, 2, 1, 0, 0, 3, 0, 4, 2, 1, 1, 4, 2, 0, 3, 3, 3, 2, 4, 2, 2, 2, 2, 4, 0, 1, 0, 2, 1, 2, 4, 0, 2, 0, 2, 1, 4, 0, 2, 4, 3, 4, 4, 2, 1, 0, 1, 2, 3, 4, 4, 1, 1, 2, 4, 4, 4, 0, 4, 4, 1, 0, 3, 0, 2, 3, 0, 1, 3, 4, 4, 1, 0, 0, 1, 3, 2, 0, 2, 2, 4, 1, 4, 2, 0, 1, 3, 0, 3, 0, 0, 2, 0, 4, 1, 4, 3, 3, 3, 4, 0, 0, 0, 1, 3, 0, 2, 1, 4, 4, 0, 1, 1, 1, 2, 0, 3, 0, 0, 4, 4, 4, 1, 3, 3, 2, 1, 0, 2, 3, 1, 3, 4, 2, 0, 1, 4, 0, 2, 2, 4, 3, 3, 2, 2, 3, 2, 4, 1, 2, 1, 2, 3, 0, 2, 1, 1, 0, 3, 3, 2, 1, 4, 0, 4, 3, 3, 0, 0, 0, 4, 3, 0, 2, 4, 2, 1, 1, 2, 1, 3, 3, 0, 2, 4, 4, 3, 4, 4, 3, 1, 0, 0, 4, 4, 1, 2, 0, 3, 3, 3, 4, 3, 4, 3, 1, 1, 0, 4, 0, 0, 2, 0, 4, 4, 1, 3, 1, 0, 3, 3, 0, 0, 4, 4, 0, 0, 1, 4, 2, 0, 1, 1, 1, 1, 3, 0, 4, 1, 2, 4, 1, 2, 0, 2, 3, 3, 2, 1, 0]
pubkeycol1720 = [3, 2, 4, 3, 1, 3, 1, 2, 1, 4, 4, 1, 4, 2, 2, 0, 4, 1, 3, 1, 4, 0, 4, 0, 0, 3, 3, 0, 4, 2, 3, 1, 1, 1, 1, 4, 0, 4, 1, 0, 3, 3, 3, 3, 2, 4, 1, 4, 4, 3, 3, 0, 4, 4, 0, 3, 0, 4, 0, 1, 1, 4, 3, 4, 2, 1, 4, 0, 3, 1, 4, 0, 0, 2, 2, 3, 4, 0, 1, 1, 4, 0, 4, 4, 3, 0, 4, 4, 4, 1, 3, 1, 0, 2, 3, 4, 3, 0, 4, 1, 4, 0, 3, 2, 0, 4, 3, 0, 3, 3, 4, 3, 3, 3, 4, 0, 4, 4, 2, 2, 3, 4, 2, 1, 3, 2, 1, 3, 2, 1, 3, 4, 0, 0, 4, 1, 4, 4, 3, 4, 0, 1, 0, 0, 3, 3, 0, 2, 0, 1, 0, 2, 0, 3, 0, 2, 2, 3, 0, 4, 3, 0, 4, 1, 4, 3, 1, 4, 3, 2, 4, 3, 1, 3, 2, 4, 3, 3, 4, 0, 0, 4, 1, 1, 2, 1, 4, 1, 0, 4, 1, 4, 4, 0, 1, 1, 2, 0, 2, 3, 3, 1, 1, 1, 0, 2, 1, 0, 0, 3, 2, 2, 4, 0, 3, 1, 4, 1, 2, 3, 1, 1, 1, 0, 0, 0, 3, 2, 4, 0, 4, 4, 2, 3, 1, 0, 1, 2, 0, 1, 3, 1, 4, 2, 3, 4, 3, 2, 0, 0, 3, 0, 2, 2, 3, 2, 0, 2, 4, 2, 4, 1, 0, 1, 0, 1, 4, 1, 4, 3, 0, 0, 1, 0, 1, 4, 3, 4, 4, 2, 3, 3, 1, 2, 3, 0, 3, 1, 3, 3, 4, 3, 0, 3, 4, 0, 3, 1, 4, 2, 2, 1, 0, 0, 1, 4, 0, 4, 0, 2, 0, 3, 4, 4, 1, 1, 4, 3, 0, 0, 1, 1, 0, 4, 0, 4, 4, 2, 2, 4, 2, 3, 0, 0, 3, 4, 0, 3, 4, 2, 3, 4, 2, 2, 0, 4, 1, 1, 4, 2, 0, 3, 2, 0, 4, 4, 4, 2, 2, 1, 2, 1, 0, 3, 4, 0, 3, 3, 2, 4, 2, 0, 3, 1, 1, 0, 4, 0, 3, 2, 0, 1, 0, 1, 2, 2, 3, 4, 0, 3, 0, 1, 1, 4, 1, 3, 4, 4, 2, 1, 3, 4, 4, 3, 2, 4, 1, 3, 0, 0, 0, 0, 2, 0, 0, 3, 3, 2, 1, 0, 1, 2, 1, 2, 1, 2, 4, 1, 4, 3, 2, 0, 4, 2, 3, 3, 2, 1, 0, 0, 4, 3, 2, 0, 2, 2, 0, 0, 0, 3, 1, 1, 3, 1, 3, 4, 0, 0, 1, 1, 4, 0, 4, 1, 3, 3, 3, 0, 3, 3, 0, 4, 1, 1, 4, 2, 2, 0, 4, 0, 2, 0, 1, 4, 3, 2, 2, 2, 4, 0, 4, 4, 3, 4, 1, 0, 3, 1, 3, 0, 0, 4, 3, 1, 1]
pubkeycol1721 = [2, 2, 1, 0, 3, 4, 0, 2, 2, 3, 3, 2, 1, 3, 4, 0, 4, 3, 2, 1, 2, 1, 2, 2, 1, 4, 4, 4, 2, 0, 2, 2, 2, 1, 4, 4, 2, 1, 3, 1, 3, 4, 1, 3, 0, 2, 3, 0, 4, 4, 4, 1, 2, 4, 2, 0, 1, 1, 3, 1, 2, 2, 1, 1, 2, 0, 3, 1, 3, 2, 4, 4, 3, 1, 0, 2, 0, 1, 3, 2, 0, 0, 1, 1, 0, 3, 3, 3, 1, 1, 4, 3, 3, 0, 0, 3, 0, 4, 0, 1, 1, 1, 3, 4, 2, 0, 0, 2, 0, 2, 0, 3, 0, 1, 4, 1, 0, 4, 3, 1, 3, 4, 0, 4, 2, 2, 2, 0, 1, 0, 0, 1, 3, 1, 2, 2, 0, 3, 3, 2, 1, 4, 0, 4, 1, 0, 0, 2, 3, 1, 3, 1, 4, 3, 1, 3, 4, 0, 0, 0, 1, 0, 0, 1, 2, 0, 3, 2, 1, 4, 4, 0, 3, 1, 0, 0, 0, 1, 0, 1, 2, 3, 4, 0, 1, 1, 4, 1, 3, 2, 3, 4, 1, 2, 3, 3, 1, 1, 3, 2, 0, 0, 3, 2, 2, 4, 2, 1, 4, 3, 1, 3, 2, 2, 2, 0, 0, 2, 3, 4, 4, 0, 3, 0, 2, 4, 2, 4, 2, 0, 3, 4, 4, 4, 4, 0, 1, 3, 2, 2, 3, 3, 0, 2, 3, 0, 2, 2, 4, 1, 1, 3, 2, 0, 4, 0, 3, 1, 2, 2, 0, 4, 2, 3, 4, 4, 3, 1, 2, 4, 4, 2, 4, 4, 4, 0, 1, 0, 3, 1, 1, 3, 1, 0, 2, 1, 1, 4, 0, 0, 4, 4, 3, 3, 2, 0, 2, 1, 4, 4, 3, 3, 0, 1, 0, 4, 3, 0, 4, 4, 2, 0, 1, 1, 4, 0, 0, 0, 1, 4, 4, 1, 4, 1, 3, 1, 0, 2, 2, 1, 2, 0, 0, 1, 4, 1, 1, 1, 2, 2, 3, 1, 1, 3, 2, 3, 2, 2, 2, 4, 0, 1, 3, 3, 1, 3, 0, 0, 2, 3, 3, 1, 2, 2, 3, 3, 1, 3, 0, 4, 4, 4, 0, 2, 2, 1, 0, 0, 3, 2, 2, 3, 1, 2, 2, 2, 0, 0, 3, 3, 1, 4, 0, 0, 3, 0, 0, 4, 1, 1, 3, 0, 2, 0, 2, 4, 3, 0, 1, 3, 4, 3, 3, 2, 4, 1, 2, 0, 3, 3, 4, 1, 1, 1, 3, 4, 2, 4, 1, 0, 2, 0, 1, 4, 2, 3, 2, 1, 0, 4, 0, 1, 2, 0, 1, 4, 4, 1, 4, 2, 4, 2, 4, 4, 4, 0, 2, 3, 3, 4, 4, 3, 0, 0, 1, 1, 3, 3, 4, 2, 4, 4, 2, 1, 0, 4, 1, 4, 1, 3, 2, 0, 0, 2, 3, 2, 1, 4, 4, 4, 3, 0, 4, 1, 4, 1, 1, 2, 2, 4, 1, 1, 3, 4, 4]
pubkeycol1722 = [2, 2, 1, 2, 2, 0, 0, 0, 4, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 4, 1, 1, 3, 1, 3, 1, 2, 3, 3, 3, 4, 4, 1, 2, 4, 0, 2, 2, 3, 1, 4, 2, 0, 2, 3, 2, 0, 2, 3, 1, 1, 2, 3, 3, 4, 0, 2, 0, 2, 1, 3, 0, 0, 3, 0, 1, 1, 3, 4, 4, 1, 2, 1, 3, 1, 0, 3, 0, 4, 3, 1, 1, 4, 0, 3, 0, 4, 1, 4, 0, 1, 2, 3, 0, 0, 0, 1, 4, 3, 0, 4, 2, 1, 0, 3, 4, 3, 3, 2, 0, 3, 0, 1, 4, 4, 3, 4, 1, 3, 1, 3, 3, 2, 0, 2, 4, 4, 4, 4, 0, 2, 1, 3, 1, 0, 4, 4, 4, 1, 2, 1, 4, 2, 3, 4, 2, 1, 3, 0, 4, 3, 3, 0, 0, 0, 0, 0, 1, 4, 2, 4, 3, 3, 0, 2, 2, 2, 4, 2, 4, 1, 3, 3, 2, 1, 1, 3, 4, 4, 0, 3, 1, 2, 1, 0, 1, 2, 0, 2, 2, 3, 3, 3, 2, 3, 4, 4, 1, 2, 4, 3, 0, 0, 2, 2, 0, 3, 0, 2, 2, 4, 1, 4, 2, 2, 1, 4, 4, 1, 1, 2, 2, 3, 4, 1, 2, 2, 3, 1, 0, 1, 3, 2, 4, 3, 4, 2, 0, 2, 2, 2, 4, 3, 0, 1, 0, 2, 0, 0, 1, 2, 3, 0, 2, 0, 3, 3, 3, 1, 3, 0, 1, 4, 1, 2, 1, 0, 1, 1, 4, 1, 4, 0, 4, 0, 4, 4, 3, 1, 4, 0, 2, 3, 0, 2, 0, 3, 0, 2, 3, 3, 1, 0, 1, 3, 3, 1, 2, 3, 2, 4, 4, 4, 1, 4, 4, 2, 2, 2, 3, 4, 0, 1, 3, 3, 4, 0, 0, 1, 1, 2, 4, 3, 0, 0, 3, 4, 4, 3, 1, 2, 1, 1, 0, 0, 4, 4, 4, 1, 4, 1, 1, 1, 1, 0, 2, 3, 4, 4, 4, 1, 0, 2, 0, 0, 2, 0, 2, 3, 0, 4, 1, 1, 4, 2, 1, 3, 4, 2, 2, 4, 0, 0, 4, 4, 0, 0, 3, 3, 4, 4, 2, 1, 0, 2, 4, 2, 2, 2, 2, 0, 2, 1, 2, 2, 4, 0, 0, 3, 4, 0, 0, 1, 0, 0, 0, 1, 3, 2, 2, 3, 4, 2, 1, 2, 1, 3, 2, 0, 2, 3, 1, 3, 3, 2, 0, 2, 4, 0, 4, 0, 0, 0, 1, 1, 1, 4, 2, 3, 4, 0, 0, 0, 4, 2, 2, 2, 4, 4, 2, 2, 4, 1, 3, 1, 0, 2, 2, 2, 3, 2, 2, 4, 2, 0, 0, 0, 2, 2, 4, 4, 2, 4, 3, 1, 3, 4, 4, 0, 1, 4, 0, 0, 0, 0, 4, 2, 2, 3, 1, 1, 0, 0, 1, 2, 4, 1, 0, 0, 1, 4, 2, 0, 0, 3]
pubkeycol1723 = [1, 4, 4, 1, 4, 2, 4, 4, 4, 1, 2, 0, 1, 3, 2, 0, 3, 2, 1, 4, 4, 2, 1, 0, 2, 2, 2, 0, 1, 2, 3, 4, 1, 4, 0, 1, 4, 2, 1, 3, 1, 0, 3, 1, 4, 0, 1, 0, 4, 4, 3, 4, 0, 4, 0, 0, 0, 2, 0, 3, 1, 3, 1, 4, 1, 1, 2, 3, 3, 3, 2, 3, 2, 2, 2, 3, 0, 2, 1, 2, 0, 2, 1, 0, 1, 3, 2, 2, 0, 0, 4, 2, 0, 0, 1, 2, 1, 2, 4, 2, 3, 4, 0, 1, 1, 2, 0, 1, 4, 2, 4, 0, 1, 4, 0, 1, 2, 0, 3, 2, 3, 2, 3, 4, 4, 4, 0, 0, 4, 2, 2, 3, 1, 0, 4, 3, 2, 4, 0, 2, 2, 1, 3, 1, 3, 0, 2, 3, 4, 4, 0, 1, 0, 3, 4, 0, 4, 1, 4, 3, 2, 1, 0, 3, 3, 0, 1, 3, 0, 3, 2, 0, 4, 0, 4, 3, 3, 0, 1, 3, 4, 1, 4, 1, 0, 3, 3, 1, 0, 0, 1, 3, 2, 3, 2, 1, 4, 4, 3, 2, 1, 2, 0, 4, 0, 1, 2, 1, 1, 0, 1, 3, 1, 1, 2, 3, 2, 1, 4, 4, 0, 4, 3, 3, 2, 0, 3, 4, 1, 3, 0, 4, 1, 4, 0, 2, 3, 1, 2, 1, 2, 2, 2, 1, 4, 2, 4, 0, 2, 4, 2, 1, 1, 3, 3, 3, 2, 2, 4, 4, 4, 1, 0, 2, 3, 3, 4, 1, 4, 3, 2, 3, 4, 1, 1, 2, 0, 4, 2, 0, 0, 3, 0, 3, 3, 2, 4, 3, 4, 4, 2, 2, 2, 2, 2, 1, 2, 0, 2, 3, 1, 4, 4, 1, 3, 4, 3, 2, 0, 3, 1, 0, 0, 4, 1, 0, 1, 4, 2, 4, 4, 0, 4, 1, 0, 4, 0, 0, 0, 2, 4, 2, 4, 0, 3, 1, 4, 4, 3, 4, 3, 2, 0, 4, 2, 4, 3, 0, 3, 3, 3, 1, 4, 3, 4, 0, 4, 1, 3, 0, 4, 1, 2, 0, 3, 4, 2, 0, 3, 4, 0, 0, 3, 4, 3, 0, 2, 0, 2, 2, 3, 2, 0, 4, 0, 4, 0, 0, 3, 2, 4, 2, 2, 2, 2, 1, 4, 2, 4, 2, 2, 4, 0, 4, 4, 0, 0, 3, 1, 1, 2, 3, 1, 2, 1, 4, 2, 4, 4, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 4, 2, 2, 2, 4, 0, 4, 0, 2, 4, 2, 2, 2, 1, 2, 2, 2, 0, 3, 4, 3, 2, 0, 0, 3, 4, 1, 1, 4, 3, 4, 2, 0, 1, 0, 2, 3, 0, 4, 0, 3, 4, 1, 4, 2, 3, 0, 1, 4, 1, 0, 0, 1, 3, 1, 4, 2, 2, 2, 0, 4, 4, 2, 2, 0, 2, 2, 1, 4, 2, 3, 3, 2, 0, 2, 0]
pubkeycol1724 = [3, 1, 2, 4, 4, 1, 4, 3, 0, 0, 4, 0, 3, 3, 4, 1, 4, 2, 2, 1, 1, 3, 4, 1, 2, 2, 3, 2, 2, 3, 4, 3, 1, 2, 3, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 3, 0, 4, 1, 2, 2, 2, 3, 4, 2, 0, 3, 3, 2, 0, 1, 2, 4, 2, 0, 3, 3, 1, 0, 4, 1, 1, 4, 4, 0, 4, 2, 3, 4, 2, 3, 3, 3, 2, 2, 2, 3, 1, 1, 0, 2, 3, 2, 0, 3, 0, 0, 3, 0, 1, 0, 4, 2, 2, 3, 1, 0, 3, 1, 3, 2, 0, 1, 2, 2, 3, 1, 1, 3, 1, 1, 0, 3, 1, 3, 0, 3, 4, 3, 3, 3, 0, 2, 2, 3, 3, 2, 0, 0, 0, 3, 4, 1, 3, 3, 0, 0, 3, 4, 4, 0, 4, 2, 0, 4, 2, 1, 3, 1, 0, 4, 2, 0, 1, 4, 2, 0, 0, 1, 2, 4, 1, 3, 2, 4, 4, 3, 3, 1, 1, 4, 0, 4, 0, 2, 1, 0, 3, 3, 1, 4, 1, 2, 0, 3, 1, 0, 4, 0, 3, 4, 1, 3, 3, 0, 2, 1, 4, 3, 4, 1, 0, 1, 1, 3, 0, 4, 2, 1, 3, 0, 0, 1, 3, 3, 4, 3, 0, 4, 4, 0, 0, 4, 3, 3, 4, 1, 4, 4, 1, 0, 0, 0, 0, 3, 1, 4, 1, 1, 1, 1, 2, 3, 4, 3, 1, 2, 4, 0, 3, 3, 0, 3, 1, 4, 3, 3, 3, 3, 4, 0, 1, 1, 3, 2, 4, 4, 4, 3, 3, 0, 1, 2, 1, 2, 4, 1, 4, 0, 4, 2, 2, 2, 0, 1, 3, 2, 0, 0, 2, 4, 3, 3, 3, 0, 3, 1, 1, 4, 1, 0, 1, 2, 0, 4, 4, 1, 0, 3, 2, 0, 2, 4, 3, 3, 1, 0, 3, 0, 3, 1, 1, 3, 4, 3, 2, 3, 4, 3, 0, 1, 3, 3, 1, 4, 1, 0, 3, 3, 3, 1, 2, 2, 0, 3, 3, 3, 1, 0, 1, 0, 3, 4, 1, 4, 4, 0, 0, 4, 4, 2, 2, 1, 0, 3, 1, 3, 4, 4, 0, 4, 0, 1, 2, 3, 1, 3, 4, 2, 2, 2, 4, 0, 0, 4, 3, 2, 0, 0, 2, 1, 2, 4, 1, 1, 3, 2, 4, 1, 0, 4, 3, 3, 0, 1, 4, 2, 3, 1, 1, 4, 3, 0, 0, 4, 0, 3, 0, 3, 2, 4, 4, 1, 2, 3, 2, 4, 1, 0, 0, 3, 2, 2, 1, 4, 2, 3, 2, 2, 4, 4, 2, 3, 3, 0, 3, 1, 1, 4, 1, 1, 4, 2, 3, 4, 0, 2, 2, 4, 0, 1, 1, 2, 1, 2, 0, 3, 2, 2, 0, 2, 3, 2, 1, 0, 1, 2, 3, 4, 2, 1, 3, 1, 4, 4, 2, 2, 2]
pubkeycol1725 = [3, 0, 1, 4, 0, 0, 0, 1, 4, 1, 2, 0, 1, 1, 4, 0, 3, 2, 1, 0, 0, 3, 4, 2, 4, 1, 0, 4, 3, 0, 0, 4, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 3, 2, 1, 3, 3, 3, 4, 0, 4, 2, 3, 3, 1, 4, 1, 3, 0, 1, 3, 1, 2, 2, 2, 0, 4, 2, 4, 0, 0, 4, 2, 4, 0, 0, 0, 4, 1, 3, 0, 2, 4, 0, 4, 0, 1, 4, 3, 3, 0, 3, 2, 2, 0, 1, 2, 3, 0, 0, 0, 4, 4, 2, 2, 4, 2, 2, 1, 4, 4, 2, 4, 1, 2, 4, 2, 1, 4, 0, 1, 4, 1, 2, 2, 3, 3, 3, 3, 4, 4, 0, 3, 3, 3, 1, 3, 2, 3, 2, 0, 4, 4, 2, 1, 1, 2, 4, 0, 4, 2, 0, 0, 3, 1, 4, 3, 3, 2, 0, 1, 4, 2, 1, 2, 4, 1, 2, 1, 2, 4, 0, 3, 1, 0, 2, 3, 4, 4, 4, 0, 4, 3, 4, 2, 2, 2, 3, 2, 4, 3, 2, 0, 2, 2, 4, 3, 2, 2, 2, 0, 2, 1, 3, 2, 0, 0, 2, 2, 0, 3, 0, 2, 2, 0, 1, 4, 2, 2, 1, 1, 3, 2, 3, 4, 4, 0, 4, 0, 4, 0, 3, 4, 4, 0, 1, 1, 4, 4, 4, 4, 4, 3, 3, 4, 2, 4, 4, 0, 0, 0, 1, 1, 0, 1, 4, 0, 0, 4, 1, 0, 1, 4, 3, 2, 4, 1, 3, 1, 0, 3, 1, 3, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 4, 4, 0, 0, 0, 2, 0, 0, 4, 1, 1, 1, 2, 2, 1, 3, 0, 3, 3, 0, 4, 1, 0, 1, 4, 2, 3, 2, 4, 0, 4, 1, 4, 3, 4, 0, 0, 2, 2, 3, 3, 3, 1, 3, 2, 2, 3, 1, 4, 3, 0, 3, 1, 0, 1, 4, 1, 3, 3, 0, 2, 0, 2, 4, 3, 3, 2, 2, 2, 4, 1, 4, 1, 2, 3, 4, 2, 0, 1, 2, 4, 4, 1, 2, 4, 1, 2, 0, 0, 3, 0, 1, 2, 1, 2, 3, 2, 4, 0, 2, 2, 4, 1, 0, 1, 2, 0, 2, 3, 1, 3, 4, 3, 3, 1, 2, 4, 2, 2, 3, 4, 1, 0, 1, 3, 1, 3, 1, 3, 0, 2, 2, 3, 3, 2, 0, 3, 2, 2, 2, 3, 0, 2, 0, 2, 3, 2, 0, 4, 0, 2, 1, 0, 1, 0, 2, 1, 3, 3, 2, 4, 4, 0, 2, 0, 0, 1, 0, 0, 0, 3, 2, 3, 2, 4, 1, 1, 2, 2, 2, 0, 1, 2, 4, 2, 3, 4, 0, 2, 2, 3, 4, 2, 2, 4, 4, 3, 3, 0, 1, 1, 3, 0, 0, 0, 4, 3, 3, 1, 0, 2, 0, 0, 1, 2, 3]
pubkeycol1726 = [0, 2, 0, 0, 2, 3, 0, 2, 0, 2, 4, 3, 2, 1, 2, 2, 4, 1, 0, 3, 3, 0, 2, 4, 3, 0, 3, 0, 2, 3, 1, 2, 2, 0, 0, 1, 3, 0, 1, 0, 3, 4, 4, 0, 4, 3, 0, 1, 0, 2, 0, 3, 4, 2, 1, 3, 2, 2, 0, 2, 2, 0, 2, 3, 0, 2, 2, 1, 3, 3, 4, 2, 2, 1, 2, 1, 1, 4, 0, 1, 3, 1, 2, 3, 1, 2, 1, 4, 2, 4, 4, 2, 3, 4, 1, 1, 3, 0, 1, 4, 0, 1, 2, 1, 4, 3, 1, 1, 3, 4, 4, 4, 3, 0, 0, 2, 3, 2, 0, 4, 0, 0, 0, 3, 2, 3, 1, 4, 2, 3, 4, 3, 0, 4, 1, 3, 1, 0, 3, 2, 1, 3, 2, 2, 3, 1, 2, 2, 4, 2, 4, 3, 3, 2, 0, 3, 0, 0, 4, 3, 0, 4, 0, 4, 1, 1, 1, 3, 4, 2, 0, 2, 2, 1, 3, 3, 1, 4, 1, 3, 1, 4, 2, 0, 2, 0, 1, 0, 2, 4, 2, 4, 1, 4, 4, 1, 3, 3, 4, 4, 0, 3, 0, 1, 1, 4, 4, 2, 4, 4, 3, 0, 0, 2, 1, 1, 0, 4, 3, 1, 2, 2, 4, 2, 3, 4, 0, 0, 4, 3, 1, 4, 4, 3, 0, 2, 0, 4, 2, 3, 1, 0, 3, 2, 4, 4, 4, 1, 0, 3, 3, 0, 2, 0, 2, 4, 0, 0, 4, 0, 0, 1, 3, 1, 3, 1, 3, 1, 1, 2, 3, 1, 3, 4, 4, 1, 4, 1, 3, 1, 3, 1, 0, 4, 1, 4, 2, 1, 0, 2, 4, 4, 0, 1, 3, 1, 0, 3, 2, 0, 1, 3, 3, 4, 1, 4, 1, 4, 4, 4, 2, 3, 0, 1, 4, 0, 4, 2, 1, 4, 2, 2, 4, 4, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 4, 4, 0, 1, 4, 2, 3, 4, 0, 2, 4, 1, 4, 1, 3, 4, 4, 3, 3, 2, 2, 0, 0, 4, 1, 0, 1, 1, 1, 1, 1, 3, 1, 4, 2, 3, 3, 3, 4, 3, 2, 4, 1, 1, 3, 0, 4, 4, 1, 4, 0, 4, 1, 0, 2, 0, 2, 4, 3, 4, 4, 4, 2, 3, 2, 3, 1, 1, 3, 0, 0, 0, 2, 0, 2, 2, 0, 3, 2, 0, 4, 4, 1, 1, 4, 2, 4, 0, 3, 0, 4, 1, 1, 1, 2, 2, 4, 3, 2, 2, 4, 2, 0, 3, 4, 0, 3, 0, 0, 2, 4, 3, 4, 3, 3, 4, 1, 0, 0, 1, 2, 1, 0, 2, 1, 3, 3, 1, 1, 4, 0, 1, 2, 3, 3, 3, 3, 0, 2, 4, 0, 4, 0, 2, 0, 4, 4, 0, 2, 3, 4, 4, 3, 1, 4, 2, 1, 2, 0, 1, 3, 1, 2, 4, 2, 2, 0, 3, 2, 4, 2]
pubkeycol1727 = [3, 3, 4, 4, 1, 2, 0, 4, 0, 3, 0, 0, 3, 2, 3, 1, 4, 1, 2, 1, 1, 3, 0, 2, 1, 3, 2, 0, 3, 3, 1, 0, 1, 2, 3, 4, 3, 4, 0, 0, 0, 1, 2, 2, 2, 3, 1, 3, 4, 3, 0, 1, 4, 3, 4, 2, 1, 0, 0, 4, 0, 3, 0, 1, 4, 4, 3, 2, 4, 4, 2, 0, 3, 4, 3, 2, 0, 3, 1, 0, 4, 3, 1, 1, 0, 0, 1, 0, 0, 3, 0, 0, 2, 4, 2, 2, 3, 2, 3, 0, 4, 2, 4, 4, 3, 4, 3, 1, 2, 3, 1, 3, 4, 1, 0, 2, 0, 4, 4, 1, 0, 1, 1, 0, 2, 2, 3, 0, 2, 3, 2, 2, 1, 4, 4, 2, 2, 2, 4, 4, 2, 1, 4, 4, 1, 4, 2, 0, 3, 1, 3, 1, 3, 0, 1, 0, 3, 3, 1, 3, 1, 1, 4, 4, 3, 2, 4, 0, 3, 4, 1, 1, 4, 3, 4, 3, 1, 1, 0, 2, 0, 2, 4, 2, 2, 1, 0, 0, 3, 4, 2, 1, 2, 1, 3, 0, 3, 4, 3, 3, 4, 3, 2, 0, 0, 0, 2, 1, 3, 3, 2, 4, 3, 1, 4, 1, 1, 3, 1, 4, 1, 4, 3, 4, 4, 4, 3, 2, 1, 0, 4, 3, 3, 1, 4, 4, 1, 1, 4, 2, 0, 2, 1, 3, 3, 0, 0, 3, 0, 0, 3, 0, 2, 4, 3, 4, 2, 1, 4, 2, 4, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 3, 4, 1, 1, 1, 4, 2, 1, 2, 1, 2, 0, 0, 1, 0, 3, 2, 1, 2, 3, 0, 0, 0, 3, 1, 2, 3, 1, 1, 3, 4, 1, 2, 1, 3, 2, 4, 3, 3, 0, 0, 1, 1, 4, 4, 0, 4, 2, 4, 0, 3, 2, 3, 4, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 4, 3, 1, 4, 3, 4, 2, 1, 0, 2, 4, 1, 4, 2, 0, 4, 0, 1, 3, 2, 4, 2, 3, 2, 2, 3, 1, 4, 3, 3, 0, 4, 4, 1, 0, 0, 1, 4, 1, 3, 1, 3, 1, 3, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 4, 4, 3, 0, 2, 4, 2, 0, 3, 2, 3, 3, 1, 0, 2, 2, 2, 1, 0, 4, 2, 4, 4, 2, 0, 0, 2, 1, 4, 3, 4, 1, 1, 2, 3, 1, 3, 4, 4, 2, 4, 1, 1, 2, 2, 1, 4, 4, 2, 4, 4, 4, 1, 4, 3, 1, 2, 3, 0, 3, 1, 3, 3, 3, 2, 0, 0, 1, 1, 0, 2, 1, 2, 3, 3, 1, 4, 2, 4, 3, 1, 4, 3, 1, 2, 1, 2, 2, 1, 4, 4, 0, 2, 2, 4, 0, 2, 2, 1, 1, 0, 3, 0, 0, 3, 3, 3, 3, 1, 4, 0, 2, 0, 4]
pubkeycol1728 = [0, 1, 3, 1, 3, 4, 2, 3, 1, 0, 3, 3, 0, 1, 2, 0, 2, 3, 3, 3, 1, 4, 0, 4, 2, 4, 2, 0, 4, 3, 3, 0, 4, 1, 1, 0, 3, 0, 3, 0, 0, 1, 2, 3, 0, 3, 4, 0, 0, 0, 4, 4, 4, 1, 3, 1, 0, 1, 1, 1, 2, 2, 3, 2, 1, 2, 0, 1, 1, 4, 0, 1, 1, 1, 0, 2, 4, 3, 4, 4, 0, 0, 4, 0, 1, 0, 3, 2, 1, 4, 4, 1, 3, 2, 1, 2, 0, 1, 1, 0, 1, 3, 4, 1, 4, 1, 4, 0, 3, 4, 0, 3, 4, 1, 3, 2, 3, 0, 2, 0, 0, 3, 0, 0, 4, 0, 2, 2, 3, 0, 1, 2, 4, 4, 0, 1, 2, 1, 4, 2, 2, 1, 3, 3, 1, 3, 3, 3, 2, 1, 4, 4, 3, 1, 4, 1, 3, 2, 2, 0, 3, 4, 4, 1, 1, 2, 4, 0, 3, 0, 0, 2, 1, 2, 3, 0, 4, 3, 2, 0, 1, 1, 3, 4, 1, 2, 3, 3, 1, 1, 4, 1, 3, 1, 0, 3, 3, 4, 0, 4, 4, 1, 3, 1, 2, 2, 3, 1, 0, 0, 2, 0, 4, 4, 3, 1, 0, 3, 4, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 3, 3, 0, 0, 2, 2, 4, 2, 2, 4, 2, 3, 3, 4, 0, 0, 1, 1, 3, 2, 3, 4, 4, 4, 1, 4, 1, 2, 1, 2, 3, 0, 0, 3, 3, 3, 4, 3, 1, 4, 0, 3, 0, 4, 1, 1, 0, 2, 3, 4, 3, 2, 4, 4, 1, 1, 2, 4, 2, 3, 1, 3, 1, 1, 2, 1, 0, 2, 2, 3, 3, 4, 1, 4, 0, 3, 2, 4, 0, 2, 4, 0, 1, 1, 2, 4, 0, 4, 0, 0, 2, 0, 3, 4, 0, 0, 0, 4, 3, 4, 2, 0, 1, 0, 2, 0, 2, 1, 4, 3, 4, 4, 1, 0, 0, 0, 0, 4, 3, 3, 4, 3, 1, 1, 1, 3, 2, 3, 0, 3, 1, 1, 0, 2, 0, 3, 0, 3, 0, 2, 3, 0, 4, 2, 1, 4, 0, 3, 1, 2, 4, 3, 2, 2, 1, 0, 2, 1, 1, 2, 3, 4, 0, 3, 0, 4, 3, 4, 3, 3, 2, 4, 3, 1, 4, 0, 4, 4, 1, 4, 2, 1, 1, 3, 2, 2, 1, 4, 4, 3, 1, 4, 4, 1, 4, 3, 3, 3, 1, 1, 1, 2, 2, 1, 1, 1, 3, 4, 2, 2, 0, 2, 1, 1, 3, 2, 4, 0, 2, 4, 4, 0, 1, 0, 4, 4, 3, 2, 4, 2, 0, 3, 2, 2, 2, 2, 0, 2, 0, 0, 3, 0, 1, 1, 4, 4, 4, 0, 1, 2, 3, 2, 1, 1, 1, 1, 3, 2, 3, 0, 3, 4, 3, 1, 4, 0, 4, 0, 3, 2, 4, 2, 1, 0, 4]
pubkeycol1729 = [0, 4, 1, 2, 1, 2, 2, 3, 1, 0, 2, 2, 4, 1, 3, 1, 0, 4, 4, 0, 4, 2, 3, 2, 3, 0, 2, 4, 2, 4, 4, 2, 2, 0, 1, 4, 2, 4, 2, 0, 1, 1, 0, 4, 4, 3, 0, 3, 4, 3, 2, 1, 0, 2, 1, 0, 4, 4, 2, 3, 0, 1, 1, 0, 3, 3, 0, 2, 2, 2, 1, 0, 1, 2, 2, 4, 2, 0, 0, 2, 2, 2, 2, 3, 0, 2, 0, 0, 2, 1, 3, 3, 2, 0, 0, 1, 2, 4, 1, 2, 1, 2, 1, 3, 4, 3, 3, 0, 4, 0, 1, 1, 1, 2, 4, 1, 2, 0, 2, 2, 4, 2, 0, 4, 3, 4, 3, 1, 2, 2, 2, 0, 1, 0, 1, 0, 4, 2, 4, 1, 0, 0, 2, 2, 1, 3, 4, 3, 2, 0, 0, 1, 0, 4, 3, 1, 2, 3, 0, 4, 2, 0, 2, 1, 2, 2, 1, 0, 4, 1, 4, 1, 3, 2, 0, 3, 0, 3, 1, 0, 4, 1, 3, 4, 0, 2, 1, 2, 2, 2, 3, 0, 2, 4, 1, 3, 4, 4, 3, 1, 3, 4, 4, 3, 2, 3, 1, 2, 4, 2, 2, 4, 4, 0, 3, 0, 3, 2, 1, 4, 2, 1, 0, 2, 4, 2, 4, 3, 1, 0, 0, 1, 3, 0, 1, 1, 1, 2, 1, 0, 1, 0, 4, 3, 2, 3, 2, 1, 2, 4, 2, 4, 4, 1, 4, 3, 1, 1, 3, 0, 0, 0, 2, 2, 3, 1, 0, 2, 1, 4, 3, 0, 2, 2, 0, 0, 4, 3, 3, 2, 3, 1, 2, 2, 0, 4, 2, 2, 3, 0, 2, 0, 4, 1, 1, 4, 4, 1, 4, 4, 1, 3, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 3, 2, 1, 1, 3, 3, 3, 1, 1, 4, 1, 3, 0, 3, 0, 3, 3, 2, 3, 2, 0, 0, 1, 1, 3, 0, 3, 3, 3, 2, 3, 3, 1, 4, 4, 3, 2, 2, 0, 0, 1, 4, 1, 3, 2, 1, 3, 2, 0, 1, 4, 2, 4, 0, 1, 4, 1, 4, 3, 1, 4, 4, 0, 0, 3, 0, 0, 2, 2, 2, 4, 4, 3, 1, 3, 3, 4, 4, 3, 2, 1, 1, 4, 2, 3, 0, 0, 4, 4, 3, 2, 1, 0, 4, 1, 1, 2, 4, 0, 1, 3, 1, 0, 0, 2, 3, 3, 1, 4, 2, 4, 3, 4, 0, 1, 2, 4, 3, 2, 4, 3, 3, 0, 3, 0, 4, 1, 2, 4, 2, 2, 4, 0, 2, 1, 4, 3, 2, 4, 2, 3, 0, 4, 4, 1, 0, 4, 3, 1, 2, 1, 0, 1, 1, 0, 3, 1, 0, 3, 4, 4, 1, 0, 1, 0, 1, 3, 1, 2, 4, 0, 2, 1, 3, 4, 0, 2, 0, 3, 1, 2, 4, 2, 2, 4, 4, 4, 1, 4, 3, 4]
pubkeycol1730 = [4, 0, 4, 4, 4, 3, 1, 4, 1, 3, 4, 2, 1, 0, 0, 3, 3, 0, 2, 0, 2, 3, 1, 2, 4, 3, 3, 0, 0, 1, 4, 2, 4, 3, 0, 3, 4, 4, 1, 3, 2, 3, 3, 0, 2, 1, 0, 2, 0, 3, 0, 0, 4, 0, 4, 2, 4, 2, 0, 0, 2, 3, 4, 1, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 2, 2, 2, 3, 1, 2, 3, 4, 1, 3, 3, 0, 0, 3, 1, 0, 2, 1, 1, 4, 0, 0, 1, 0, 4, 1, 0, 2, 0, 2, 1, 3, 0, 3, 0, 4, 2, 1, 0, 0, 1, 2, 0, 4, 3, 3, 3, 0, 3, 0, 3, 0, 2, 0, 1, 1, 4, 4, 1, 3, 0, 3, 0, 0, 3, 4, 3, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 4, 2, 2, 1, 3, 1, 1, 0, 1, 1, 1, 4, 1, 0, 4, 3, 0, 3, 4, 3, 0, 3, 4, 3, 3, 2, 1, 1, 4, 2, 1, 3, 4, 2, 3, 1, 2, 3, 0, 3, 3, 0, 2, 0, 1, 0, 4, 2, 3, 4, 2, 0, 2, 3, 3, 4, 0, 2, 4, 1, 2, 2, 4, 2, 0, 2, 4, 1, 1, 1, 0, 2, 2, 4, 2, 2, 3, 4, 0, 0, 2, 4, 4, 2, 2, 1, 4, 3, 4, 0, 1, 4, 1, 0, 3, 3, 1, 4, 1, 3, 3, 2, 3, 2, 1, 3, 1, 3, 1, 1, 2, 0, 3, 1, 3, 1, 4, 2, 2, 1, 0, 3, 4, 3, 1, 0, 1, 2, 3, 0, 1, 3, 0, 1, 1, 4, 3, 0, 4, 4, 0, 3, 4, 0, 2, 4, 3, 2, 1, 2, 1, 2, 4, 1, 2, 2, 2, 1, 2, 0, 4, 4, 3, 2, 1, 1, 3, 4, 0, 2, 1, 0, 1, 2, 1, 3, 0, 2, 2, 3, 4, 2, 2, 4, 1, 0, 2, 2, 0, 4, 1, 3, 0, 2, 1, 1, 0, 3, 1, 4, 3, 2, 0, 0, 0, 3, 4, 4, 4, 0, 0, 1, 3, 2, 3, 1, 2, 2, 3, 2, 4, 0, 4, 3, 2, 0, 3, 4, 1, 3, 2, 2, 1, 2, 2, 0, 1, 1, 4, 2, 4, 3, 4, 2, 4, 3, 1, 1, 1, 0, 1, 4, 2, 3, 1, 3, 1, 3, 3, 3, 4, 0, 3, 4, 1, 1, 3, 4, 4, 4, 4, 1, 2, 0, 0, 2, 2, 0, 0, 2, 3, 0, 0, 1, 1, 1, 0, 2, 3, 3, 1, 1, 2, 1, 1, 0, 4, 1, 1, 1, 3, 3, 0, 3, 2, 0, 4, 1, 3, 1, 2, 3, 3, 0, 4, 1, 2, 2, 1, 0, 0, 1, 4, 2, 1, 0, 0, 4, 2, 2, 3, 2, 4, 4, 1, 3, 1, 2, 1, 3, 0, 2, 1, 1, 1, 0, 3, 0, 2, 0, 0, 0, 1, 1]
pubkeycol1731 = [4, 2, 2, 0, 4, 2, 0, 2, 4, 4, 1, 0, 0, 4, 2, 1, 4, 3, 3, 2, 2, 3, 1, 4, 4, 4, 0, 4, 2, 4, 4, 3, 3, 3, 1, 2, 1, 0, 2, 3, 1, 4, 0, 0, 1, 2, 3, 2, 4, 4, 4, 1, 3, 1, 2, 3, 4, 2, 3, 1, 1, 4, 2, 4, 1, 1, 3, 4, 2, 3, 2, 1, 4, 2, 4, 2, 1, 3, 0, 1, 4, 2, 3, 1, 3, 2, 1, 0, 4, 1, 4, 4, 1, 3, 0, 3, 1, 0, 0, 4, 1, 2, 1, 3, 0, 1, 3, 0, 4, 0, 4, 2, 4, 4, 4, 3, 3, 2, 3, 4, 4, 0, 1, 1, 2, 1, 0, 3, 1, 1, 1, 4, 0, 3, 2, 2, 0, 2, 0, 1, 3, 1, 0, 2, 2, 1, 2, 0, 0, 1, 3, 4, 2, 1, 0, 4, 3, 1, 0, 1, 0, 2, 0, 2, 3, 4, 3, 0, 0, 3, 1, 1, 2, 4, 1, 3, 1, 0, 3, 2, 4, 2, 4, 2, 1, 0, 1, 4, 4, 0, 2, 1, 3, 2, 0, 0, 4, 0, 4, 4, 3, 1, 4, 0, 1, 1, 3, 2, 1, 1, 0, 4, 2, 3, 4, 4, 1, 3, 0, 4, 2, 1, 3, 0, 4, 2, 2, 0, 0, 4, 0, 1, 4, 4, 4, 0, 1, 4, 3, 4, 1, 4, 2, 3, 0, 1, 2, 1, 4, 0, 4, 3, 0, 1, 2, 3, 0, 2, 4, 1, 0, 4, 3, 1, 2, 3, 2, 1, 1, 4, 2, 3, 2, 3, 3, 4, 0, 4, 1, 4, 0, 3, 3, 4, 3, 4, 0, 2, 0, 1, 3, 4, 3, 0, 2, 2, 3, 0, 1, 0, 0, 4, 1, 3, 2, 4, 4, 0, 2, 4, 2, 1, 3, 1, 2, 4, 0, 2, 2, 2, 2, 0, 3, 3, 1, 2, 0, 3, 4, 1, 2, 4, 4, 2, 3, 2, 2, 2, 3, 1, 4, 2, 3, 4, 0, 4, 3, 3, 2, 1, 4, 0, 2, 1, 2, 1, 4, 3, 0, 0, 4, 3, 0, 1, 0, 0, 2, 1, 2, 4, 2, 4, 2, 4, 2, 0, 4, 4, 4, 0, 4, 0, 0, 3, 4, 3, 4, 1, 0, 4, 4, 3, 2, 1, 1, 1, 1, 2, 3, 4, 4, 1, 3, 2, 0, 3, 1, 3, 1, 1, 4, 0, 2, 3, 3, 3, 1, 4, 2, 4, 3, 4, 2, 3, 4, 2, 3, 1, 0, 0, 2, 2, 2, 2, 4, 0, 0, 4, 3, 1, 3, 0, 2, 1, 4, 3, 4, 0, 0, 3, 2, 3, 1, 2, 2, 3, 2, 0, 1, 4, 4, 3, 1, 3, 4, 3, 2, 1, 1, 0, 4, 2, 1, 3, 3, 0, 1, 1, 4, 3, 3, 4, 2, 4, 0, 3, 1, 1, 2, 4, 1, 2, 1, 4, 2, 2, 3, 4, 0, 1, 4, 1, 3, 1, 2]
pubkeycol1732 = [2, 3, 4, 0, 0, 4, 1, 0, 0, 0, 1, 3, 3, 3, 2, 2, 0, 1, 2, 2, 0, 1, 4, 4, 3, 2, 0, 0, 0, 2, 3, 0, 2, 2, 0, 1, 4, 0, 4, 0, 2, 3, 3, 4, 2, 2, 0, 4, 4, 3, 3, 2, 3, 0, 1, 0, 0, 4, 4, 0, 1, 3, 0, 1, 3, 4, 0, 1, 2, 1, 2, 2, 4, 3, 3, 2, 1, 2, 4, 1, 0, 2, 0, 4, 4, 4, 3, 3, 2, 1, 4, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 4, 1, 4, 3, 1, 3, 3, 2, 4, 3, 4, 1, 4, 0, 4, 3, 0, 4, 3, 2, 3, 2, 0, 3, 0, 3, 2, 2, 0, 0, 1, 4, 0, 1, 4, 4, 3, 2, 0, 2, 1, 4, 4, 1, 2, 4, 3, 3, 2, 3, 1, 2, 3, 2, 4, 1, 0, 3, 0, 0, 1, 1, 3, 4, 1, 1, 0, 4, 1, 0, 1, 2, 1, 3, 3, 4, 3, 1, 0, 0, 3, 3, 2, 4, 0, 4, 4, 0, 1, 1, 1, 0, 0, 4, 4, 3, 2, 0, 3, 3, 1, 4, 3, 3, 0, 4, 1, 1, 2, 1, 2, 4, 1, 2, 3, 0, 4, 4, 0, 1, 2, 1, 2, 3, 2, 0, 2, 1, 2, 3, 1, 2, 1, 0, 4, 4, 1, 1, 0, 2, 2, 3, 2, 0, 3, 4, 1, 4, 4, 4, 0, 3, 2, 4, 0, 0, 1, 4, 1, 1, 2, 0, 0, 0, 3, 0, 3, 4, 0, 2, 3, 1, 1, 1, 2, 2, 2, 1, 0, 0, 3, 2, 0, 1, 2, 0, 3, 3, 3, 3, 0, 2, 4, 2, 1, 0, 4, 1, 4, 4, 4, 1, 2, 2, 4, 1, 4, 4, 1, 2, 3, 4, 2, 4, 0, 3, 3, 1, 2, 4, 0, 2, 2, 1, 3, 4, 3, 4, 2, 4, 1, 1, 2, 4, 1, 3, 3, 2, 4, 4, 3, 2, 2, 2, 2, 4, 4, 1, 4, 3, 3, 2, 3, 2, 3, 3, 3, 1, 2, 4, 3, 3, 4, 2, 2, 0, 0, 4, 4, 4, 1, 0, 2, 2, 4, 3, 4, 3, 1, 1, 3, 4, 1, 2, 1, 4, 1, 0, 1, 1, 3, 4, 0, 3, 3, 1, 1, 2, 4, 2, 3, 0, 0, 1, 4, 0, 0, 4, 4, 1, 1, 4, 4, 4, 0, 3, 3, 4, 1, 2, 0, 4, 1, 4, 4, 1, 4, 1, 3, 0, 0, 1, 3, 1, 0, 3, 4, 3, 4, 0, 0, 0, 2, 4, 1, 4, 0, 0, 1, 4, 1, 0, 4, 2, 2, 4, 1, 2, 1, 3, 2, 0, 4, 4, 4, 4, 2, 4, 2, 3, 1, 2, 1, 2, 0, 2, 2, 2, 4, 4, 3, 2, 0, 2, 1, 1, 1, 4, 2, 3, 0, 2, 0, 2, 3, 2, 0, 4, 1, 1, 4, 4, 1, 3]
pubkeycol1733 = [4, 3, 3, 4, 2, 2, 3, 1, 4, 3, 4, 1, 4, 2, 3, 2, 3, 1, 1, 3, 2, 3, 0, 3, 0, 3, 0, 4, 4, 1, 0, 0, 2, 0, 1, 3, 1, 2, 0, 1, 2, 3, 3, 1, 3, 0, 1, 4, 0, 0, 1, 4, 1, 4, 3, 3, 3, 1, 3, 4, 0, 4, 0, 4, 4, 0, 3, 3, 3, 3, 1, 0, 0, 4, 2, 2, 0, 1, 3, 2, 3, 0, 0, 0, 0, 4, 0, 2, 1, 1, 0, 4, 4, 2, 4, 0, 1, 2, 0, 1, 0, 1, 3, 2, 2, 0, 4, 4, 3, 4, 4, 1, 0, 4, 2, 1, 0, 0, 1, 0, 1, 2, 1, 3, 1, 2, 2, 0, 3, 0, 4, 2, 2, 0, 2, 4, 0, 1, 1, 1, 0, 4, 0, 2, 2, 0, 4, 3, 1, 1, 1, 4, 2, 0, 3, 1, 0, 4, 3, 4, 4, 4, 4, 3, 1, 0, 0, 2, 1, 2, 0, 0, 3, 0, 4, 4, 2, 4, 4, 3, 3, 4, 0, 2, 1, 3, 2, 3, 4, 0, 4, 2, 4, 2, 2, 2, 4, 2, 1, 0, 4, 2, 2, 2, 3, 0, 1, 2, 2, 3, 3, 2, 4, 1, 4, 1, 1, 2, 1, 2, 2, 4, 2, 4, 2, 4, 3, 2, 2, 4, 4, 3, 2, 0, 2, 4, 1, 2, 4, 2, 4, 0, 4, 3, 1, 3, 1, 0, 4, 4, 4, 1, 2, 4, 4, 1, 1, 0, 1, 1, 3, 3, 2, 1, 3, 4, 4, 4, 3, 4, 3, 0, 3, 2, 4, 3, 3, 1, 4, 0, 3, 1, 1, 4, 1, 2, 3, 2, 0, 3, 0, 4, 0, 3, 4, 2, 0, 0, 0, 0, 4, 4, 2, 3, 3, 2, 1, 0, 1, 3, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 4, 1, 4, 0, 3, 2, 4, 0, 0, 4, 1, 2, 4, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 4, 3, 0, 2, 3, 1, 2, 1, 1, 3, 2, 0, 1, 0, 4, 3, 2, 1, 0, 1, 1, 4, 1, 3, 4, 1, 3, 2, 4, 0, 2, 2, 3, 4, 4, 4, 3, 2, 3, 0, 0, 4, 0, 1, 4, 1, 4, 0, 1, 2, 4, 4, 2, 1, 0, 2, 3, 3, 0, 3, 0, 4, 3, 2, 2, 0, 3, 1, 2, 0, 1, 0, 4, 0, 3, 3, 4, 4, 4, 1, 0, 0, 1, 4, 3, 0, 4, 1, 0, 1, 4, 3, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 4, 4, 1, 2, 0, 3, 2, 2, 3, 0, 4, 4, 1, 4, 2, 0, 1, 1, 2, 3, 4, 2, 1, 4, 0, 4, 4, 2, 3, 0, 1, 1, 3, 1, 0, 2, 4, 0, 2, 1, 2, 2, 1, 1, 4, 1, 0, 2, 4, 2, 3, 1, 2, 1, 2, 2, 3, 4]
pubkeycol1734 = [4, 1, 4, 2, 2, 2, 4, 2, 1, 4, 4, 4, 4, 4, 3, 0, 2, 4, 1, 2, 4, 4, 2, 1, 4, 0, 3, 2, 0, 3, 4, 3, 1, 3, 2, 1, 2, 2, 2, 1, 1, 4, 1, 2, 0, 3, 1, 0, 4, 3, 4, 0, 0, 2, 2, 2, 3, 4, 3, 0, 1, 3, 4, 4, 4, 1, 2, 0, 1, 2, 4, 1, 1, 3, 3, 1, 0, 1, 1, 0, 3, 0, 2, 3, 0, 0, 2, 0, 1, 4, 3, 4, 2, 3, 3, 1, 3, 3, 3, 2, 0, 3, 0, 4, 0, 1, 2, 0, 0, 3, 2, 2, 3, 3, 4, 2, 4, 3, 4, 0, 1, 4, 1, 1, 2, 1, 0, 4, 2, 2, 3, 2, 2, 3, 3, 0, 4, 1, 4, 1, 4, 1, 0, 1, 0, 0, 0, 0, 2, 3, 2, 3, 3, 0, 1, 0, 1, 3, 0, 0, 3, 1, 0, 0, 0, 0, 2, 1, 4, 4, 4, 3, 0, 3, 0, 0, 1, 2, 4, 0, 1, 2, 2, 2, 4, 2, 0, 2, 3, 4, 2, 3, 2, 1, 1, 0, 2, 2, 1, 1, 3, 2, 1, 2, 4, 0, 3, 4, 2, 3, 2, 4, 0, 0, 1, 4, 1, 1, 0, 4, 4, 1, 0, 3, 4, 1, 4, 3, 0, 2, 2, 4, 1, 1, 4, 1, 4, 2, 4, 2, 4, 3, 4, 4, 2, 1, 0, 4, 1, 0, 4, 4, 2, 2, 2, 4, 1, 1, 2, 3, 4, 1, 4, 1, 0, 2, 2, 4, 4, 2, 2, 4, 3, 3, 4, 2, 0, 0, 1, 3, 3, 2, 4, 0, 2, 3, 4, 4, 4, 4, 2, 0, 2, 3, 2, 2, 0, 0, 4, 3, 3, 4, 3, 1, 0, 3, 4, 1, 3, 3, 4, 1, 3, 2, 4, 4, 4, 4, 0, 4, 4, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 3, 2, 1, 4, 0, 4, 0, 1, 2, 3, 1, 1, 0, 4, 4, 3, 2, 4, 2, 4, 4, 1, 2, 0, 0, 2, 4, 2, 0, 2, 0, 3, 2, 4, 1, 0, 2, 2, 0, 1, 1, 4, 2, 1, 3, 1, 3, 2, 0, 4, 3, 1, 3, 1, 4, 1, 3, 3, 3, 1, 4, 0, 4, 1, 2, 2, 0, 1, 3, 4, 0, 4, 2, 3, 0, 2, 1, 1, 1, 1, 1, 2, 4, 3, 1, 2, 3, 2, 3, 0, 2, 2, 1, 3, 0, 4, 2, 2, 0, 4, 0, 0, 2, 2, 1, 4, 2, 0, 0, 2, 1, 0, 0, 2, 1, 4, 4, 4, 0, 2, 1, 0, 2, 1, 4, 2, 2, 3, 4, 1, 2, 3, 2, 1, 2, 3, 4, 2, 3, 2, 3, 0, 1, 4, 1, 3, 2, 0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 0, 1, 4, 1, 2, 0, 4, 0, 3, 0, 1, 0, 3, 4, 4, 4]
pubkeycol1735 = [2, 1, 2, 0, 4, 0, 2, 2, 2, 0, 2, 0, 3, 4, 0, 4, 4, 4, 2, 1, 3, 1, 0, 2, 4, 4, 4, 3, 3, 2, 2, 2, 0, 2, 3, 2, 1, 1, 3, 1, 1, 3, 2, 1, 0, 4, 2, 4, 4, 0, 3, 3, 0, 3, 4, 4, 3, 1, 1, 4, 3, 0, 2, 1, 3, 2, 1, 0, 3, 1, 1, 3, 3, 1, 4, 4, 2, 0, 0, 4, 0, 1, 3, 3, 3, 4, 1, 2, 0, 3, 4, 4, 1, 3, 2, 3, 0, 1, 0, 3, 3, 1, 4, 4, 1, 3, 3, 2, 0, 3, 4, 1, 1, 0, 2, 4, 4, 1, 1, 1, 2, 1, 4, 1, 2, 4, 3, 4, 4, 4, 4, 4, 0, 1, 3, 3, 0, 4, 4, 3, 0, 1, 3, 1, 3, 4, 1, 1, 0, 0, 4, 2, 2, 0, 4, 1, 2, 3, 2, 3, 3, 2, 2, 2, 2, 1, 4, 4, 2, 4, 1, 4, 1, 2, 3, 4, 4, 0, 2, 0, 4, 1, 2, 0, 0, 4, 1, 4, 3, 3, 0, 3, 4, 2, 0, 1, 1, 3, 4, 4, 4, 2, 0, 3, 4, 2, 0, 2, 0, 2, 4, 3, 3, 4, 2, 1, 2, 3, 0, 2, 2, 0, 1, 1, 3, 1, 3, 0, 2, 3, 1, 0, 1, 0, 1, 0, 0, 4, 2, 4, 2, 3, 4, 2, 4, 4, 3, 1, 3, 1, 0, 2, 2, 0, 1, 2, 3, 4, 1, 3, 2, 2, 2, 0, 4, 1, 4, 2, 3, 2, 0, 2, 1, 3, 4, 3, 2, 1, 3, 3, 4, 4, 2, 1, 3, 4, 4, 1, 4, 2, 3, 1, 1, 0, 3, 1, 3, 1, 2, 4, 3, 0, 3, 2, 2, 4, 2, 1, 2, 1, 0, 0, 3, 4, 2, 0, 4, 3, 1, 0, 4, 0, 4, 0, 2, 4, 2, 2, 0, 0, 2, 3, 4, 4, 2, 0, 0, 1, 3, 0, 3, 4, 3, 3, 0, 4, 3, 2, 4, 3, 2, 3, 4, 0, 0, 0, 1, 3, 0, 3, 3, 4, 2, 3, 2, 4, 3, 2, 2, 4, 2, 4, 4, 2, 1, 1, 3, 0, 0, 3, 2, 4, 0, 2, 3, 0, 2, 4, 1, 0, 3, 1, 4, 3, 3, 2, 2, 4, 3, 2, 1, 0, 0, 2, 0, 0, 0, 0, 4, 4, 0, 2, 2, 0, 3, 1, 0, 4, 3, 3, 0, 3, 2, 1, 1, 0, 2, 4, 2, 4, 3, 1, 2, 3, 3, 1, 2, 4, 2, 2, 3, 0, 2, 4, 4, 3, 0, 4, 4, 2, 0, 4, 0, 1, 2, 0, 4, 3, 3, 2, 1, 4, 1, 1, 2, 3, 3, 4, 4, 4, 4, 4, 0, 2, 1, 2, 0, 0, 1, 0, 1, 3, 1, 0, 1, 4, 4, 1, 0, 3, 2, 2, 1, 4, 4, 0, 0, 2, 0, 4, 2, 1, 0, 1, 1]
pubkeycol1736 = [1, 4, 2, 1, 0, 4, 2, 3, 1, 4, 0, 0, 2, 2, 1, 2, 3, 1, 2, 0, 3, 4, 0, 1, 4, 2, 0, 2, 0, 0, 3, 3, 4, 1, 3, 4, 4, 1, 0, 0, 4, 0, 2, 0, 1, 0, 1, 2, 4, 0, 2, 4, 1, 4, 2, 3, 0, 1, 1, 4, 4, 4, 3, 4, 3, 4, 2, 2, 4, 0, 4, 3, 3, 1, 1, 2, 1, 3, 0, 3, 4, 4, 1, 3, 1, 4, 0, 4, 4, 2, 0, 0, 4, 2, 1, 4, 1, 0, 3, 2, 3, 2, 4, 4, 1, 2, 2, 4, 1, 4, 0, 4, 1, 0, 1, 4, 1, 4, 1, 0, 4, 4, 2, 0, 0, 4, 0, 2, 3, 1, 2, 4, 4, 2, 1, 0, 2, 3, 1, 1, 1, 1, 4, 0, 1, 1, 3, 2, 4, 2, 2, 3, 2, 3, 4, 4, 2, 3, 0, 0, 0, 2, 3, 1, 2, 3, 1, 0, 1, 0, 2, 2, 3, 3, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 3, 1, 3, 0, 3, 4, 0, 3, 0, 0, 0, 1, 1, 0, 0, 1, 3, 4, 1, 4, 0, 3, 4, 3, 1, 2, 4, 2, 3, 1, 1, 2, 1, 0, 1, 2, 3, 3, 1, 0, 4, 4, 4, 4, 3, 0, 2, 2, 4, 1, 0, 0, 3, 2, 4, 3, 0, 4, 4, 3, 2, 4, 2, 2, 4, 4, 4, 1, 2, 3, 4, 4, 3, 4, 1, 0, 4, 3, 1, 2, 0, 4, 4, 1, 3, 2, 2, 0, 3, 0, 2, 2, 4, 1, 1, 3, 3, 2, 1, 3, 2, 0, 2, 3, 0, 0, 4, 4, 0, 1, 4, 3, 1, 4, 1, 1, 3, 4, 4, 3, 2, 3, 2, 4, 2, 1, 1, 4, 2, 2, 1, 1, 1, 2, 4, 4, 4, 1, 0, 4, 4, 3, 1, 0, 1, 3, 1, 3, 3, 2, 1, 0, 2, 4, 4, 4, 4, 2, 1, 4, 0, 3, 0, 1, 2, 2, 4, 3, 3, 1, 1, 0, 2, 2, 2, 3, 2, 0, 0, 3, 3, 0, 2, 4, 2, 2, 2, 4, 4, 0, 1, 1, 0, 1, 0, 2, 3, 3, 0, 3, 3, 3, 2, 2, 1, 0, 1, 3, 3, 2, 1, 3, 0, 4, 1, 1, 1, 2, 2, 2, 2, 0, 0, 4, 1, 1, 2, 2, 2, 3, 3, 0, 1, 3, 0, 3, 1, 1, 1, 3, 2, 2, 3, 1, 1, 2, 3, 1, 2, 1, 4, 3, 4, 1, 1, 0, 3, 1, 1, 1, 0, 2, 2, 0, 1, 4, 1, 3, 2, 2, 3, 2, 1, 4, 1, 2, 4, 0, 1, 0, 3, 4, 4, 4, 4, 0, 4, 1, 4, 4, 4, 2, 1, 2, 0, 2, 1, 3, 3, 2, 4, 4, 0, 4, 1, 3, 1, 3, 3]
pubkeycol1737 = [2, 1, 2, 2, 2, 2, 0, 4, 3, 0, 0, 4, 3, 1, 4, 1, 4, 3, 3, 2, 4, 4, 0, 0, 3, 1, 3, 3, 4, 2, 4, 0, 1, 3, 3, 2, 4, 2, 0, 0, 4, 1, 2, 3, 4, 1, 4, 3, 2, 2, 1, 2, 3, 2, 2, 1, 0, 1, 0, 4, 0, 4, 4, 2, 4, 2, 3, 4, 0, 2, 4, 1, 2, 1, 3, 4, 2, 1, 1, 4, 0, 3, 4, 4, 2, 4, 0, 1, 1, 2, 1, 2, 2, 1, 0, 4, 1, 1, 2, 1, 2, 0, 2, 0, 4, 1, 1, 4, 2, 3, 3, 1, 2, 3, 2, 4, 3, 3, 2, 3, 3, 4, 3, 1, 3, 4, 3, 2, 3, 1, 2, 3, 4, 1, 3, 2, 0, 2, 4, 3, 3, 0, 4, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 3, 0, 1, 0, 3, 2, 0, 1, 3, 2, 2, 1, 0, 1, 1, 3, 0, 3, 3, 4, 3, 3, 0, 0, 0, 2, 4, 3, 4, 4, 1, 0, 2, 0, 1, 2, 4, 3, 0, 4, 4, 3, 1, 0, 0, 2, 2, 3, 1, 0, 0, 3, 4, 1, 2, 2, 2, 1, 3, 0, 2, 2, 4, 4, 4, 1, 0, 3, 0, 3, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 4, 4, 3, 3, 4, 0, 4, 1, 4, 4, 1, 0, 4, 4, 2, 4, 0, 0, 3, 2, 3, 4, 0, 3, 3, 3, 0, 0, 0, 4, 1, 4, 3, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 4, 1, 4, 4, 0, 1, 4, 3, 1, 4, 1, 4, 3, 3, 2, 0, 2, 1, 2, 3, 1, 1, 0, 3, 1, 2, 3, 1, 0, 3, 4, 2, 3, 1, 0, 2, 0, 2, 2, 3, 3, 2, 1, 1, 2, 4, 2, 4, 0, 0, 3, 1, 1, 3, 1, 2, 3, 2, 3, 4, 4, 4, 1, 4, 1, 2, 3, 2, 2, 2, 3, 1, 3, 0, 1, 1, 4, 0, 1, 3, 4, 4, 2, 1, 3, 4, 1, 0, 4, 0, 4, 1, 0, 2, 3, 1, 3, 0, 2, 4, 2, 1, 0, 1, 2, 3, 0, 1, 0, 4, 3, 4, 0, 2, 2, 0, 2, 3, 1, 1, 4, 4, 0, 0, 3, 3, 1, 3, 2, 4, 1, 0, 0, 2, 2, 1, 3, 3, 2, 3, 1, 4, 4, 3, 2, 0, 4, 2, 0, 0, 1, 4, 2, 0, 2, 4, 3, 3, 3, 2, 1, 4, 2, 4, 4, 3, 3, 0, 4, 2, 3, 0, 0, 1, 4, 3, 2, 0, 3, 4, 1, 3, 4, 1, 2, 0, 4, 1, 1, 1, 2, 0, 1, 0, 4, 0, 3, 3, 3, 3, 1, 2, 2, 0, 0, 4, 3, 1, 3, 3, 0, 1, 4, 1, 2, 0, 1, 0, 2, 1, 2]
pubkeycol1738 = [0, 4, 4, 2, 4, 2, 3, 4, 3, 1, 3, 1, 0, 4, 1, 3, 1, 4, 1, 3, 0, 4, 0, 4, 3, 2, 2, 0, 2, 2, 3, 0, 2, 3, 3, 4, 4, 3, 0, 4, 3, 2, 0, 0, 4, 1, 2, 1, 2, 3, 0, 0, 0, 0, 2, 0, 0, 0, 3, 1, 2, 3, 3, 4, 4, 2, 2, 0, 2, 2, 1, 0, 3, 4, 2, 4, 2, 4, 1, 0, 4, 2, 0, 2, 2, 1, 4, 4, 4, 2, 0, 4, 0, 0, 2, 2, 1, 1, 1, 3, 2, 3, 3, 3, 0, 2, 2, 2, 3, 4, 0, 4, 4, 3, 3, 3, 1, 3, 2, 2, 0, 2, 3, 3, 0, 2, 4, 0, 0, 0, 1, 1, 2, 0, 0, 4, 4, 2, 0, 4, 1, 1, 3, 2, 4, 4, 2, 4, 1, 3, 3, 3, 4, 1, 4, 1, 4, 4, 4, 4, 4, 4, 3, 4, 0, 4, 2, 0, 1, 2, 0, 0, 1, 4, 1, 4, 1, 3, 0, 3, 2, 2, 3, 4, 3, 2, 2, 4, 1, 1, 2, 4, 3, 2, 0, 2, 4, 3, 1, 4, 0, 2, 2, 1, 0, 4, 4, 1, 3, 3, 3, 2, 1, 2, 0, 0, 1, 4, 1, 4, 0, 3, 2, 1, 3, 4, 3, 4, 4, 1, 1, 4, 0, 0, 2, 2, 3, 2, 0, 0, 2, 4, 3, 4, 3, 3, 1, 1, 1, 2, 3, 2, 1, 1, 0, 3, 4, 2, 3, 2, 3, 0, 3, 4, 1, 4, 1, 0, 4, 0, 3, 2, 3, 3, 2, 4, 2, 2, 3, 0, 2, 2, 2, 3, 2, 4, 3, 4, 3, 3, 4, 1, 0, 1, 1, 2, 3, 1, 3, 2, 0, 2, 4, 4, 0, 2, 4, 2, 4, 0, 2, 3, 3, 0, 3, 4, 1, 2, 3, 2, 0, 4, 2, 2, 4, 2, 1, 3, 0, 4, 3, 3, 1, 3, 0, 3, 4, 3, 0, 1, 4, 1, 2, 1, 2, 1, 3, 0, 2, 4, 4, 2, 3, 3, 0, 2, 4, 0, 1, 0, 3, 1, 1, 1, 1, 0, 2, 3, 3, 1, 4, 3, 2, 0, 0, 3, 1, 2, 2, 2, 2, 2, 4, 0, 0, 3, 4, 4, 2, 4, 0, 3, 2, 4, 0, 4, 3, 2, 1, 3, 4, 2, 1, 2, 2, 4, 0, 0, 1, 2, 0, 3, 1, 1, 1, 4, 0, 1, 4, 2, 1, 1, 1, 0, 4, 0, 0, 0, 1, 0, 3, 1, 4, 1, 4, 2, 0, 3, 2, 3, 2, 2, 2, 1, 1, 4, 3, 4, 0, 4, 4, 0, 4, 4, 2, 2, 4, 2, 1, 1, 2, 0, 3, 1, 2, 4, 3, 2, 1, 3, 3, 4, 2, 3, 3, 1, 4, 4, 0, 1, 0, 1, 2, 0, 1, 4, 4, 3, 0, 1, 1, 0, 1, 3, 1, 4, 4, 1, 3, 4, 0, 2, 1, 4, 1]
pubkeycol1739 = [1, 0, 0, 1, 0, 2, 1, 1, 4, 0, 0, 3, 0, 0, 2, 3, 0, 4, 1, 1, 3, 0, 0, 0, 2, 4, 0, 4, 4, 4, 1, 0, 3, 2, 3, 3, 3, 1, 4, 0, 2, 0, 4, 0, 1, 2, 4, 3, 3, 0, 0, 0, 4, 3, 0, 1, 3, 0, 0, 0, 1, 3, 3, 3, 2, 1, 3, 1, 3, 4, 2, 0, 4, 0, 1, 2, 3, 1, 2, 4, 4, 2, 2, 3, 1, 0, 4, 3, 3, 1, 4, 1, 2, 1, 3, 3, 3, 0, 1, 3, 0, 3, 1, 4, 4, 4, 3, 3, 2, 0, 2, 4, 1, 2, 3, 1, 0, 1, 0, 2, 1, 1, 3, 4, 2, 0, 1, 0, 3, 4, 4, 0, 3, 0, 2, 3, 0, 1, 2, 4, 3, 4, 0, 4, 1, 3, 0, 3, 0, 4, 0, 3, 0, 4, 2, 0, 4, 4, 3, 1, 0, 0, 1, 3, 3, 2, 1, 0, 1, 3, 2, 3, 0, 1, 2, 3, 1, 2, 0, 2, 2, 1, 2, 4, 1, 1, 3, 4, 0, 2, 2, 1, 3, 3, 2, 0, 1, 3, 0, 2, 0, 0, 1, 3, 3, 1, 0, 1, 2, 0, 3, 3, 3, 1, 1, 3, 2, 3, 4, 1, 4, 1, 2, 0, 1, 1, 4, 4, 1, 3, 3, 3, 2, 2, 2, 4, 4, 2, 2, 4, 3, 4, 3, 0, 4, 3, 1, 4, 4, 0, 3, 1, 4, 3, 3, 4, 2, 1, 2, 3, 4, 1, 3, 3, 1, 2, 3, 1, 0, 4, 2, 4, 2, 2, 0, 4, 4, 2, 2, 1, 1, 1, 4, 4, 3, 3, 4, 2, 4, 4, 1, 4, 4, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 4, 2, 1, 3, 0, 0, 3, 1, 3, 0, 4, 0, 0, 0, 3, 2, 3, 2, 2, 2, 2, 3, 1, 2, 2, 4, 0, 1, 4, 4, 3, 3, 0, 4, 3, 1, 3, 3, 3, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 4, 3, 4, 0, 3, 0, 1, 2, 0, 0, 1, 4, 4, 3, 0, 1, 2, 0, 4, 2, 4, 1, 3, 0, 0, 2, 4, 3, 3, 4, 4, 1, 4, 3, 3, 4, 3, 1, 4, 1, 2, 2, 4, 2, 2, 4, 4, 1, 0, 4, 0, 0, 0, 1, 1, 0, 4, 3, 0, 0, 1, 1, 3, 0, 4, 1, 0, 2, 4, 2, 0, 2, 3, 4, 1, 3, 4, 1, 2, 1, 4, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 4, 0, 4, 3, 1, 2, 0, 0, 4, 1, 2, 3, 0, 2, 3, 0, 3, 4, 1, 4, 2, 2, 1, 0, 4, 3, 0, 0, 4, 2, 0, 3, 3, 1, 1, 0, 0, 4, 3, 1, 3, 3, 1, 4, 1, 2, 1, 1, 3, 0, 3, 2, 3, 1, 3, 2, 2, 3, 4, 3, 3]
pubkeycol1740 = [2, 4, 0, 2, 1, 4, 1, 0, 3, 4, 3, 3, 3, 4, 4, 1, 0, 1, 2, 4, 3, 4, 1, 4, 0, 3, 1, 0, 2, 1, 1, 3, 3, 2, 4, 2, 4, 4, 0, 2, 3, 0, 3, 4, 0, 4, 1, 2, 4, 1, 0, 3, 1, 4, 0, 3, 4, 3, 0, 4, 3, 3, 3, 2, 1, 3, 1, 0, 1, 2, 1, 0, 3, 2, 1, 0, 0, 3, 4, 3, 4, 1, 4, 4, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 4, 0, 2, 1, 1, 1, 4, 1, 3, 1, 0, 0, 4, 0, 4, 1, 4, 2, 0, 3, 0, 2, 4, 2, 4, 3, 1, 4, 4, 2, 0, 4, 1, 2, 2, 3, 2, 3, 2, 3, 1, 4, 0, 0, 0, 3, 1, 4, 0, 2, 3, 1, 0, 3, 1, 2, 3, 0, 0, 0, 1, 0, 1, 4, 2, 1, 3, 4, 1, 1, 4, 2, 1, 4, 2, 2, 1, 1, 3, 1, 1, 3, 0, 2, 3, 2, 2, 2, 4, 1, 0, 0, 2, 2, 3, 1, 3, 3, 2, 2, 1, 4, 1, 2, 2, 3, 3, 4, 0, 4, 4, 3, 2, 0, 2, 0, 3, 4, 0, 1, 4, 0, 0, 3, 3, 0, 0, 1, 0, 1, 4, 3, 3, 1, 1, 4, 1, 2, 4, 1, 4, 1, 3, 1, 1, 4, 0, 0, 3, 1, 2, 1, 0, 0, 0, 0, 4, 1, 3, 0, 2, 2, 1, 0, 1, 1, 0, 4, 4, 1, 1, 2, 4, 1, 1, 4, 0, 4, 2, 2, 0, 1, 0, 3, 0, 3, 0, 1, 2, 1, 3, 1, 2, 0, 2, 2, 0, 4, 2, 0, 3, 4, 1, 3, 3, 3, 3, 1, 4, 0, 2, 2, 0, 1, 3, 3, 0, 2, 2, 2, 4, 1, 2, 0, 2, 2, 3, 2, 2, 2, 3, 0, 0, 3, 1, 3, 4, 1, 2, 0, 0, 0, 2, 3, 2, 2, 2, 0, 4, 3, 3, 4, 0, 4, 3, 2, 3, 1, 4, 1, 1, 2, 4, 2, 0, 2, 2, 1, 2, 4, 3, 0, 1, 0, 3, 0, 2, 1, 3, 1, 4, 1, 1, 3, 1, 0, 0, 1, 4, 4, 1, 4, 1, 3, 0, 3, 1, 4, 3, 3, 2, 4, 0, 3, 0, 1, 2, 1, 4, 0, 1, 3, 1, 0, 1, 2, 4, 0, 0, 1, 4, 4, 3, 2, 0, 0, 3, 3, 4, 4, 2, 2, 0, 3, 0, 1, 1, 4, 0, 4, 3, 1, 0, 0, 3, 4, 1, 4, 1, 3, 1, 1, 2, 0, 4, 2, 3, 4, 0, 3, 4, 0, 0, 3, 4, 3, 2, 2, 3, 2, 2, 3, 1, 0, 2, 4, 2, 2, 0, 3, 0, 1, 1, 1, 3, 0, 4, 4, 1, 0, 0, 4, 2, 3, 4, 0, 4, 1, 1, 2, 2, 1, 2, 1, 1, 0, 3, 4, 0, 3, 4]
pubkeycol1741 = [2, 4, 1, 3, 0, 4, 1, 4, 4, 3, 4, 1, 1, 4, 0, 0, 2, 3, 0, 4, 1, 4, 2, 4, 1, 0, 0, 3, 4, 2, 3, 4, 0, 0, 3, 4, 1, 2, 3, 0, 4, 1, 2, 2, 4, 1, 0, 3, 1, 1, 0, 4, 4, 0, 3, 2, 4, 0, 3, 4, 0, 1, 4, 2, 2, 2, 3, 2, 4, 0, 1, 0, 0, 4, 0, 2, 2, 3, 4, 0, 4, 1, 1, 1, 1, 1, 4, 4, 1, 0, 3, 2, 1, 2, 4, 1, 2, 2, 2, 3, 1, 4, 4, 4, 3, 3, 3, 1, 2, 3, 1, 1, 2, 3, 3, 4, 0, 3, 2, 2, 2, 3, 1, 2, 3, 2, 2, 4, 2, 2, 2, 4, 4, 0, 4, 1, 2, 2, 1, 1, 3, 1, 2, 1, 0, 2, 2, 0, 4, 3, 2, 2, 3, 1, 1, 2, 0, 2, 1, 0, 1, 1, 4, 4, 0, 3, 4, 1, 2, 3, 0, 3, 3, 4, 2, 3, 3, 1, 1, 1, 1, 3, 4, 0, 4, 2, 1, 0, 3, 2, 4, 4, 3, 2, 2, 0, 4, 3, 0, 3, 0, 2, 0, 1, 0, 3, 3, 4, 2, 2, 2, 0, 0, 0, 0, 4, 0, 0, 3, 1, 2, 1, 3, 1, 0, 4, 0, 0, 4, 1, 3, 3, 0, 2, 3, 3, 0, 4, 0, 4, 4, 2, 0, 2, 4, 4, 4, 4, 3, 2, 3, 1, 0, 1, 4, 3, 0, 0, 3, 2, 1, 4, 2, 3, 4, 4, 1, 0, 4, 3, 0, 0, 3, 4, 4, 4, 1, 2, 1, 2, 0, 2, 3, 3, 2, 1, 3, 1, 2, 4, 4, 2, 3, 1, 4, 4, 3, 3, 3, 0, 0, 4, 0, 3, 4, 1, 1, 4, 0, 0, 0, 0, 4, 1, 1, 4, 1, 0, 3, 1, 4, 1, 4, 3, 4, 1, 2, 4, 1, 1, 2, 4, 4, 0, 3, 1, 0, 2, 3, 2, 2, 1, 0, 2, 3, 4, 3, 1, 1, 4, 4, 3, 2, 0, 3, 3, 4, 1, 0, 0, 1, 3, 2, 2, 1, 4, 0, 0, 0, 2, 0, 4, 3, 3, 3, 1, 4, 2, 1, 4, 2, 0, 2, 3, 3, 1, 2, 4, 2, 0, 0, 0, 2, 2, 4, 1, 4, 0, 1, 1, 3, 1, 4, 0, 4, 2, 4, 1, 2, 1, 3, 2, 3, 1, 4, 3, 4, 0, 0, 1, 2, 1, 0, 4, 2, 2, 2, 1, 3, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 3, 2, 1, 0, 3, 2, 4, 4, 4, 2, 3, 3, 2, 1, 2, 4, 4, 3, 4, 0, 4, 1, 3, 0, 3, 0, 0, 1, 4, 1, 0, 4, 3, 1, 2, 2, 4, 4, 1, 3, 0, 2, 4, 0, 0, 1, 1, 3, 0, 1, 1, 1, 3, 1, 4, 0, 1, 0, 2, 3, 4, 1, 2, 2, 2, 3]
pubkeycol1742 = [1, 3, 2, 3, 3, 3, 2, 0, 1, 4, 4, 1, 1, 4, 3, 1, 0, 3, 3, 4, 1, 3, 1, 0, 1, 1, 3, 4, 0, 1, 3, 3, 3, 2, 4, 3, 0, 2, 0, 0, 3, 3, 0, 2, 3, 2, 0, 3, 3, 0, 0, 3, 2, 1, 1, 1, 4, 3, 3, 1, 1, 4, 0, 3, 1, 1, 4, 0, 0, 2, 1, 2, 4, 4, 3, 1, 3, 0, 2, 1, 4, 3, 1, 3, 0, 1, 4, 1, 1, 4, 4, 0, 3, 4, 2, 1, 0, 2, 2, 2, 1, 1, 3, 3, 0, 2, 0, 2, 4, 4, 2, 2, 1, 1, 0, 0, 0, 4, 3, 2, 0, 2, 4, 3, 4, 2, 2, 1, 0, 4, 3, 1, 0, 4, 3, 1, 2, 1, 2, 3, 3, 0, 0, 3, 2, 0, 3, 0, 2, 4, 3, 4, 1, 4, 2, 1, 1, 0, 0, 0, 4, 4, 4, 3, 1, 4, 1, 3, 1, 2, 4, 3, 3, 0, 1, 4, 3, 0, 1, 1, 4, 0, 3, 3, 4, 0, 3, 4, 0, 2, 3, 4, 3, 1, 3, 0, 3, 0, 0, 4, 2, 0, 2, 0, 0, 4, 0, 2, 3, 3, 2, 0, 1, 1, 0, 4, 0, 2, 0, 2, 3, 3, 2, 0, 0, 0, 3, 4, 2, 4, 2, 3, 1, 4, 3, 2, 3, 0, 3, 3, 3, 3, 2, 3, 4, 3, 0, 4, 4, 2, 2, 1, 0, 3, 1, 2, 0, 0, 3, 0, 0, 1, 2, 3, 3, 1, 3, 1, 1, 2, 1, 4, 4, 1, 4, 0, 3, 4, 4, 2, 2, 0, 2, 4, 2, 0, 3, 4, 0, 0, 0, 4, 1, 2, 4, 2, 3, 2, 0, 0, 1, 2, 4, 0, 4, 4, 3, 1, 4, 0, 1, 4, 4, 2, 1, 3, 4, 0, 4, 0, 2, 0, 0, 3, 2, 0, 2, 4, 1, 0, 1, 4, 0, 1, 2, 2, 1, 2, 0, 3, 2, 0, 1, 2, 0, 1, 1, 3, 1, 1, 1, 3, 2, 3, 0, 1, 4, 1, 0, 0, 4, 4, 3, 3, 0, 4, 2, 3, 0, 1, 4, 2, 1, 2, 1, 3, 3, 4, 1, 0, 2, 2, 4, 1, 1, 0, 0, 3, 1, 1, 1, 2, 3, 1, 2, 2, 4, 0, 0, 4, 2, 3, 0, 4, 1, 3, 1, 1, 0, 2, 0, 3, 1, 2, 3, 1, 1, 1, 2, 4, 4, 0, 4, 1, 1, 0, 4, 4, 1, 1, 2, 3, 2, 2, 3, 3, 1, 1, 4, 1, 0, 4, 3, 1, 3, 0, 1, 2, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 3, 1, 2, 0, 4, 2, 0, 3, 0, 2, 2, 0, 2, 0, 3, 4, 4, 4, 3, 2, 0, 0, 0, 4, 1, 2, 3, 3, 4, 3, 3, 2, 3, 4, 1, 4, 3, 1, 2, 3, 3, 3, 1, 0, 4, 3, 3]
pubkeycol1743 = [0, 1, 4, 3, 2, 3, 4, 0, 4, 1, 3, 3, 0, 2, 1, 0, 0, 4, 2, 2, 2, 4, 4, 1, 0, 3, 1, 3, 1, 4, 0, 4, 4, 4, 4, 4, 2, 0, 1, 2, 2, 2, 0, 0, 3, 2, 3, 2, 3, 3, 4, 2, 1, 2, 0, 4, 4, 4, 4, 0, 4, 3, 2, 0, 0, 1, 3, 0, 4, 2, 2, 4, 2, 4, 2, 4, 3, 2, 1, 4, 0, 2, 4, 3, 4, 0, 2, 0, 1, 3, 1, 1, 3, 0, 3, 0, 1, 2, 3, 0, 1, 1, 2, 0, 0, 3, 4, 4, 1, 1, 0, 2, 3, 4, 0, 4, 0, 1, 3, 3, 0, 0, 0, 3, 3, 4, 0, 2, 2, 2, 0, 4, 0, 2, 0, 2, 4, 4, 2, 0, 4, 3, 4, 3, 2, 3, 4, 0, 1, 2, 1, 3, 4, 3, 3, 3, 0, 3, 1, 1, 0, 3, 2, 4, 3, 1, 3, 2, 4, 1, 4, 3, 1, 1, 1, 3, 4, 3, 3, 1, 4, 2, 3, 1, 4, 0, 0, 2, 1, 0, 3, 4, 2, 1, 0, 2, 0, 2, 4, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 4, 3, 4, 2, 1, 2, 4, 4, 4, 0, 3, 0, 2, 1, 0, 4, 4, 2, 0, 4, 0, 2, 4, 2, 2, 1, 0, 0, 2, 2, 2, 4, 0, 3, 3, 4, 4, 2, 1, 2, 0, 3, 1, 1, 0, 0, 3, 1, 1, 3, 0, 0, 1, 1, 4, 0, 3, 2, 1, 0, 1, 0, 1, 1, 4, 4, 4, 4, 0, 1, 3, 0, 0, 3, 3, 3, 1, 0, 1, 0, 2, 4, 0, 2, 3, 4, 1, 2, 2, 3, 3, 2, 2, 4, 4, 4, 3, 0, 0, 0, 3, 2, 2, 2, 2, 1, 0, 3, 3, 3, 2, 2, 4, 2, 2, 2, 2, 0, 0, 2, 0, 3, 3, 2, 2, 1, 3, 4, 3, 0, 2, 4, 2, 3, 2, 2, 2, 2, 0, 0, 1, 2, 4, 4, 4, 4, 1, 3, 3, 0, 0, 1, 0, 3, 3, 2, 3, 2, 3, 3, 4, 1, 1, 1, 1, 0, 2, 4, 3, 3, 0, 3, 2, 0, 1, 4, 3, 1, 3, 1, 0, 0, 1, 1, 1, 4, 3, 1, 0, 1, 3, 4, 0, 4, 0, 1, 0, 1, 3, 1, 3, 1, 1, 1, 0, 0, 3, 2, 0, 4, 1, 3, 1, 3, 2, 4, 1, 0, 0, 2, 2, 3, 1, 3, 2, 3, 1, 3, 0, 2, 0, 1, 1, 4, 2, 0, 0, 0, 0, 3, 3, 0, 4, 1, 4, 3, 2, 3, 3, 4, 4, 2, 2, 1, 1, 1, 2, 0, 4, 3, 3, 2, 2, 0, 2, 0, 1, 0, 3, 3, 4, 4, 0, 1, 0, 4, 1, 1, 3, 0, 1, 2, 4, 3, 4, 2, 1, 2, 3, 2, 3, 3, 3, 1, 1, 4]
pubkeycol1744 = [3, 1, 1, 3, 3, 1, 0, 1, 4, 4, 1, 1, 1, 1, 1, 2, 0, 0, 3, 3, 0, 2, 0, 1, 1, 1, 3, 1, 2, 1, 2, 4, 3, 0, 3, 3, 0, 1, 2, 4, 1, 0, 0, 2, 2, 1, 0, 4, 4, 3, 0, 4, 4, 0, 0, 3, 2, 4, 2, 4, 1, 4, 3, 2, 0, 0, 3, 1, 3, 1, 0, 0, 0, 2, 3, 3, 1, 1, 1, 2, 2, 3, 4, 2, 2, 2, 3, 4, 0, 2, 1, 3, 1, 1, 3, 4, 0, 3, 2, 3, 1, 3, 4, 1, 3, 0, 0, 3, 2, 0, 0, 0, 0, 2, 4, 3, 1, 3, 4, 4, 2, 4, 4, 2, 4, 2, 4, 0, 2, 1, 2, 1, 0, 4, 0, 0, 1, 0, 1, 3, 3, 2, 2, 2, 4, 1, 0, 0, 3, 0, 3, 2, 0, 0, 2, 4, 3, 3, 3, 0, 4, 0, 4, 1, 1, 1, 3, 1, 1, 0, 3, 1, 4, 0, 3, 4, 0, 3, 4, 4, 1, 1, 3, 4, 1, 3, 2, 2, 2, 3, 1, 1, 4, 2, 1, 1, 4, 2, 1, 2, 4, 0, 1, 2, 2, 0, 1, 4, 4, 4, 0, 2, 1, 2, 4, 2, 3, 0, 2, 4, 4, 0, 4, 1, 1, 1, 2, 4, 3, 4, 3, 4, 2, 4, 2, 4, 3, 1, 0, 4, 0, 3, 2, 2, 4, 3, 1, 0, 3, 1, 4, 2, 2, 2, 1, 2, 1, 0, 4, 2, 1, 0, 4, 2, 0, 3, 0, 2, 2, 4, 0, 4, 0, 2, 1, 3, 0, 1, 2, 1, 2, 2, 2, 3, 2, 1, 2, 4, 2, 1, 1, 4, 2, 4, 1, 4, 0, 2, 3, 4, 4, 1, 1, 2, 4, 4, 1, 0, 0, 4, 2, 1, 2, 1, 4, 4, 1, 2, 0, 3, 3, 3, 2, 1, 4, 4, 0, 0, 3, 1, 4, 2, 2, 4, 4, 3, 4, 4, 1, 3, 1, 4, 2, 3, 4, 1, 1, 3, 1, 1, 2, 3, 0, 2, 2, 0, 0, 1, 3, 4, 0, 4, 3, 3, 0, 4, 0, 1, 2, 4, 3, 3, 3, 0, 1, 4, 4, 0, 3, 4, 2, 1, 3, 0, 1, 1, 4, 2, 2, 1, 2, 2, 4, 1, 4, 0, 0, 2, 4, 2, 3, 2, 1, 1, 1, 1, 4, 3, 1, 2, 0, 2, 2, 0, 1, 0, 2, 4, 2, 1, 4, 4, 0, 3, 2, 3, 1, 4, 0, 0, 1, 3, 3, 0, 4, 2, 2, 4, 4, 1, 4, 2, 0, 0, 1, 0, 1, 1, 3, 3, 4, 4, 2, 1, 3, 4, 1, 2, 3, 4, 1, 0, 4, 2, 4, 3, 2, 1, 2, 1, 3, 1, 2, 1, 3, 4, 4, 2, 1, 0, 4, 0, 1, 0, 3, 0, 1, 3, 3, 4, 0, 3, 4, 2, 4, 4, 0, 4, 4, 0, 3, 4, 3, 1, 2]
pubkeycol1745 = [4, 0, 2, 3, 0, 0, 3, 2, 4, 2, 0, 1, 4, 4, 4, 4, 1, 0, 1, 3, 3, 0, 3, 4, 3, 2, 4, 2, 2, 2, 4, 1, 3, 2, 4, 2, 1, 0, 1, 1, 0, 0, 0, 4, 1, 0, 4, 3, 3, 3, 0, 2, 0, 1, 4, 0, 4, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 4, 3, 4, 3, 1, 0, 1, 0, 3, 2, 4, 2, 2, 4, 0, 2, 3, 2, 0, 0, 4, 3, 0, 4, 2, 1, 4, 3, 1, 1, 0, 1, 4, 0, 3, 0, 2, 3, 2, 0, 0, 0, 1, 3, 1, 1, 4, 1, 2, 2, 4, 3, 2, 4, 0, 0, 3, 3, 4, 1, 2, 1, 1, 1, 4, 2, 0, 4, 1, 3, 0, 0, 1, 1, 0, 1, 2, 4, 0, 1, 4, 1, 3, 1, 0, 3, 3, 2, 1, 1, 0, 3, 1, 3, 4, 2, 4, 2, 0, 0, 0, 4, 1, 0, 1, 0, 2, 4, 4, 2, 0, 1, 4, 2, 1, 1, 2, 4, 1, 0, 0, 0, 1, 4, 4, 3, 2, 2, 1, 1, 3, 4, 3, 1, 1, 3, 1, 4, 3, 1, 4, 0, 2, 3, 1, 1, 3, 1, 3, 2, 2, 0, 4, 3, 3, 1, 0, 4, 0, 1, 4, 1, 4, 2, 3, 2, 1, 3, 0, 4, 3, 2, 0, 2, 0, 1, 0, 4, 0, 4, 4, 4, 3, 0, 0, 3, 0, 2, 3, 0, 3, 1, 2, 0, 3, 3, 2, 3, 4, 4, 4, 1, 3, 0, 4, 3, 1, 3, 4, 4, 2, 3, 0, 0, 3, 2, 1, 0, 3, 4, 2, 1, 3, 0, 1, 4, 2, 1, 3, 2, 4, 0, 2, 0, 0, 3, 3, 4, 3, 0, 3, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 3, 4, 1, 2, 4, 2, 3, 2, 2, 0, 0, 2, 0, 3, 3, 3, 2, 4, 1, 4, 2, 2, 1, 1, 0, 0, 1, 1, 0, 3, 1, 0, 1, 1, 2, 2, 4, 3, 2, 1, 0, 0, 1, 4, 0, 2, 1, 3, 3, 0, 4, 0, 1, 3, 4, 3, 2, 3, 0, 1, 4, 2, 1, 3, 2, 3, 4, 0, 4, 1, 0, 1, 2, 2, 2, 0, 3, 3, 4, 4, 3, 4, 2, 3, 1, 2, 0, 4, 4, 2, 4, 1, 4, 2, 4, 3, 2, 2, 3, 3, 0, 1, 3, 2, 1, 0, 4, 1, 3, 3, 2, 3, 0, 3, 0, 2, 3, 3, 0, 1, 2, 0, 2, 1, 2, 2, 2, 3, 1, 4, 0, 1, 0, 0, 0, 2, 0, 3, 3, 1, 2, 0, 4, 4, 0, 2, 3, 0, 2, 2, 4, 4, 2, 3, 2, 1, 0, 4, 4, 3, 2, 3, 1, 3, 4, 2, 2, 0, 3, 3, 2, 0, 1, 1, 4, 4, 3, 1, 1, 2, 3, 1, 3, 3, 0, 2]
pubkeycol1746 = [0, 4, 1, 4, 0, 0, 0, 3, 1, 4, 3, 2, 2, 1, 4, 0, 2, 0, 1, 3, 0, 1, 0, 4, 3, 0, 4, 3, 2, 2, 0, 4, 1, 0, 3, 0, 0, 0, 1, 4, 4, 2, 4, 0, 2, 4, 1, 4, 0, 1, 0, 3, 0, 2, 3, 4, 0, 4, 4, 3, 3, 2, 0, 3, 3, 3, 0, 2, 3, 3, 3, 3, 1, 3, 0, 3, 1, 1, 0, 1, 0, 1, 1, 0, 2, 3, 0, 4, 0, 0, 0, 4, 3, 2, 4, 3, 1, 3, 1, 0, 3, 0, 4, 1, 2, 0, 4, 4, 2, 2, 1, 0, 0, 0, 2, 2, 1, 4, 0, 0, 2, 3, 0, 0, 4, 2, 2, 2, 1, 2, 1, 3, 0, 4, 3, 1, 1, 1, 3, 2, 4, 0, 4, 2, 2, 4, 3, 2, 3, 1, 0, 3, 2, 1, 3, 0, 0, 1, 4, 3, 0, 4, 1, 4, 4, 3, 2, 4, 3, 1, 3, 2, 0, 2, 2, 4, 2, 4, 4, 2, 4, 4, 3, 3, 4, 4, 0, 3, 2, 4, 1, 2, 4, 1, 4, 3, 2, 1, 4, 2, 2, 3, 1, 4, 1, 3, 2, 0, 0, 0, 2, 2, 3, 3, 3, 1, 1, 2, 2, 2, 0, 0, 0, 4, 2, 3, 2, 0, 4, 4, 2, 2, 0, 4, 2, 1, 0, 2, 3, 1, 4, 2, 2, 0, 0, 4, 1, 0, 2, 1, 2, 0, 0, 3, 3, 3, 4, 0, 3, 4, 4, 4, 4, 2, 3, 0, 0, 1, 1, 1, 4, 2, 2, 2, 3, 0, 0, 2, 2, 3, 2, 0, 1, 0, 1, 2, 2, 0, 2, 3, 0, 4, 3, 0, 3, 0, 4, 0, 4, 2, 2, 0, 3, 0, 1, 1, 1, 4, 0, 3, 4, 0, 4, 2, 4, 1, 0, 4, 4, 3, 2, 1, 3, 2, 0, 4, 2, 0, 2, 2, 3, 3, 3, 0, 4, 2, 3, 2, 3, 1, 0, 2, 0, 0, 3, 0, 4, 0, 4, 2, 2, 0, 3, 3, 4, 1, 4, 4, 0, 2, 1, 1, 0, 4, 1, 4, 1, 1, 0, 3, 4, 4, 2, 2, 1, 3, 3, 3, 2, 1, 4, 0, 2, 4, 1, 2, 3, 2, 1, 0, 1, 0, 4, 4, 4, 3, 3, 0, 2, 3, 4, 0, 3, 0, 1, 3, 4, 2, 1, 0, 2, 1, 2, 4, 3, 4, 0, 0, 0, 1, 2, 3, 0, 2, 4, 1, 1, 3, 1, 4, 2, 2, 2, 0, 2, 1, 4, 2, 2, 1, 1, 1, 3, 3, 2, 4, 0, 3, 2, 3, 3, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 4, 4, 1, 2, 1, 3, 0, 2, 3, 3, 1, 1, 0, 1, 4, 4, 3, 1, 2, 4, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 3, 0, 1, 3, 4, 2, 2, 1, 1, 4, 0, 2, 2, 4]
pubkeycol1747 = [0, 3, 1, 2, 1, 0, 0, 3, 4, 0, 3, 0, 1, 3, 0, 4, 0, 3, 4, 1, 3, 1, 3, 1, 4, 2, 0, 0, 3, 3, 0, 1, 1, 2, 1, 3, 3, 1, 1, 4, 1, 1, 3, 1, 0, 1, 3, 2, 1, 2, 0, 2, 3, 4, 0, 4, 0, 0, 3, 4, 0, 3, 1, 3, 1, 0, 4, 4, 0, 0, 0, 3, 3, 1, 2, 2, 1, 0, 0, 0, 0, 4, 4, 1, 3, 4, 2, 4, 2, 1, 0, 2, 3, 0, 4, 2, 1, 1, 0, 2, 0, 1, 2, 1, 3, 1, 2, 1, 1, 4, 4, 4, 3, 1, 4, 4, 3, 1, 1, 0, 1, 3, 0, 3, 4, 2, 1, 0, 2, 3, 3, 1, 0, 4, 3, 3, 1, 3, 4, 4, 4, 4, 0, 4, 3, 0, 2, 3, 4, 0, 0, 3, 3, 1, 0, 2, 1, 0, 0, 1, 0, 1, 3, 4, 2, 4, 4, 0, 2, 0, 2, 4, 0, 2, 2, 2, 0, 3, 4, 0, 1, 3, 0, 2, 3, 4, 1, 2, 1, 2, 3, 2, 0, 4, 1, 1, 1, 4, 0, 2, 1, 3, 4, 1, 3, 2, 1, 1, 3, 3, 3, 0, 4, 4, 3, 3, 1, 4, 4, 3, 2, 0, 3, 0, 3, 4, 1, 4, 3, 3, 3, 3, 3, 3, 1, 0, 1, 0, 4, 1, 0, 4, 3, 4, 1, 2, 1, 4, 3, 2, 3, 0, 4, 4, 0, 2, 1, 4, 3, 0, 4, 1, 0, 1, 4, 0, 3, 3, 0, 2, 4, 1, 3, 2, 3, 1, 4, 1, 4, 2, 2, 4, 1, 3, 4, 3, 3, 3, 2, 2, 4, 4, 1, 2, 4, 1, 2, 1, 2, 2, 1, 2, 4, 3, 4, 0, 4, 3, 2, 0, 1, 0, 0, 0, 1, 0, 4, 0, 3, 2, 3, 3, 1, 0, 0, 3, 1, 0, 0, 2, 0, 2, 0, 4, 1, 1, 2, 2, 4, 3, 3, 4, 0, 2, 0, 4, 3, 0, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 2, 1, 1, 0, 1, 1, 4, 2, 1, 3, 4, 3, 4, 0, 1, 2, 1, 3, 0, 2, 1, 3, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 4, 3, 1, 0, 3, 3, 2, 2, 1, 4, 0, 4, 0, 4, 3, 0, 1, 1, 3, 2, 3, 4, 3, 1, 2, 2, 1, 3, 4, 4, 1, 1, 0, 0, 4, 3, 1, 2, 3, 3, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 4, 1, 4, 4, 2, 2, 0, 2, 1, 4, 4, 3, 1, 0, 4, 0, 3, 1, 0, 0, 4, 0, 2, 1, 2, 3, 1, 4, 3, 2, 0, 0, 3, 3, 1, 3, 1, 4, 4, 0, 0, 3, 4, 2, 0, 3, 3, 0, 2, 2, 3, 1, 4, 0, 2, 0, 0, 2, 4, 1]
pubkeycol1748 = [1, 0, 3, 4, 4, 3, 2, 3, 0, 0, 1, 3, 0, 2, 2, 1, 2, 3, 0, 2, 4, 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 3, 0, 3, 1, 2, 1, 3, 2, 2, 4, 1, 3, 3, 1, 0, 0, 0, 1, 2, 3, 4, 4, 3, 3, 1, 0, 4, 3, 3, 3, 1, 1, 3, 3, 3, 3, 4, 4, 1, 3, 0, 2, 3, 2, 1, 0, 1, 2, 4, 2, 4, 0, 1, 0, 0, 0, 4, 4, 2, 4, 3, 4, 2, 4, 4, 3, 0, 1, 1, 4, 0, 4, 4, 2, 2, 1, 0, 4, 1, 2, 4, 4, 4, 4, 2, 4, 2, 4, 1, 0, 2, 4, 0, 0, 1, 3, 2, 3, 2, 0, 0, 1, 0, 2, 3, 0, 4, 3, 1, 0, 0, 2, 3, 4, 4, 2, 2, 1, 4, 1, 1, 4, 0, 2, 0, 4, 2, 2, 2, 3, 1, 1, 1, 4, 2, 1, 2, 0, 4, 2, 3, 2, 0, 0, 1, 3, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 3, 4, 1, 2, 2, 2, 2, 4, 3, 2, 1, 1, 3, 1, 2, 1, 3, 1, 3, 0, 3, 0, 4, 4, 3, 4, 0, 1, 4, 3, 1, 2, 3, 2, 1, 4, 3, 0, 2, 0, 0, 3, 3, 4, 2, 1, 1, 4, 3, 4, 0, 2, 3, 4, 3, 3, 0, 2, 0, 1, 4, 3, 3, 3, 0, 2, 0, 2, 2, 3, 4, 4, 3, 0, 2, 1, 3, 0, 4, 3, 3, 0, 3, 2, 3, 3, 2, 1, 3, 2, 2, 3, 0, 2, 1, 2, 2, 2, 4, 2, 4, 3, 2, 3, 1, 4, 3, 4, 3, 3, 2, 1, 0, 4, 3, 0, 4, 1, 3, 1, 0, 4, 2, 0, 1, 0, 1, 1, 4, 3, 4, 2, 4, 4, 3, 4, 2, 0, 0, 4, 1, 1, 0, 2, 0, 1, 3, 0, 4, 3, 2, 3, 3, 1, 4, 3, 3, 4, 1, 2, 3, 0, 4, 2, 1, 4, 1, 3, 0, 4, 4, 2, 1, 1, 1, 2, 0, 3, 0, 4, 1, 1, 1, 2, 3, 1, 0, 2, 1, 4, 3, 2, 3, 1, 4, 3, 2, 0, 2, 4, 0, 2, 4, 1, 4, 2, 4, 2, 1, 3, 1, 4, 2, 2, 1, 0, 4, 1, 2, 3, 0, 2, 3, 0, 3, 2, 0, 3, 0, 3, 3, 3, 0, 1, 3, 1, 3, 2, 2, 0, 2, 1, 3, 1, 1, 0, 1, 3, 3, 4, 1, 4, 4, 4, 0, 0, 0, 4, 0, 1, 3, 3, 2, 0, 3, 2, 3, 4, 0, 1, 4, 4, 1, 0, 0, 2, 3, 3, 4, 4, 0, 2, 4, 4, 4, 0, 2, 4, 2, 4, 1, 1, 3, 4, 2, 0, 3, 4, 4, 4, 2, 4, 2, 4, 0, 3, 1, 1, 2, 1]
pubkeycol1749 = [1, 3, 2, 1, 4, 1, 2, 3, 2, 2, 3, 2, 2, 4, 1, 3, 1, 4, 4, 4, 2, 2, 4, 3, 2, 2, 0, 4, 4, 4, 3, 3, 3, 3, 1, 3, 2, 2, 3, 4, 3, 3, 4, 2, 4, 3, 2, 2, 4, 2, 2, 0, 3, 3, 4, 1, 4, 2, 1, 0, 2, 1, 0, 4, 3, 0, 2, 4, 3, 1, 1, 2, 2, 4, 2, 4, 0, 1, 2, 3, 2, 4, 0, 4, 0, 3, 3, 1, 1, 1, 2, 1, 4, 0, 4, 0, 3, 2, 0, 2, 1, 2, 1, 4, 2, 2, 2, 1, 4, 1, 4, 1, 1, 2, 3, 1, 3, 0, 3, 0, 4, 2, 0, 2, 0, 2, 0, 1, 4, 3, 0, 4, 3, 0, 2, 4, 1, 4, 2, 2, 4, 1, 3, 3, 2, 3, 1, 2, 3, 3, 3, 3, 4, 2, 3, 1, 2, 3, 2, 2, 3, 0, 0, 1, 3, 2, 4, 2, 0, 2, 3, 3, 1, 3, 3, 3, 2, 1, 3, 1, 3, 1, 0, 1, 3, 1, 4, 3, 3, 3, 0, 4, 3, 0, 0, 0, 3, 0, 4, 2, 0, 1, 2, 4, 0, 1, 1, 1, 1, 1, 2, 4, 0, 1, 2, 0, 3, 4, 1, 1, 1, 0, 4, 2, 1, 1, 4, 0, 2, 4, 0, 1, 0, 2, 4, 1, 4, 0, 3, 1, 4, 1, 0, 4, 3, 1, 0, 2, 4, 2, 1, 0, 2, 1, 4, 4, 0, 0, 2, 1, 0, 4, 1, 2, 1, 0, 3, 0, 3, 4, 4, 0, 3, 0, 1, 3, 2, 0, 0, 0, 4, 4, 2, 1, 2, 0, 3, 3, 0, 1, 1, 2, 2, 4, 4, 1, 3, 2, 1, 3, 1, 1, 0, 3, 0, 0, 0, 0, 4, 0, 4, 3, 3, 4, 1, 4, 2, 4, 2, 3, 0, 3, 4, 1, 1, 2, 4, 4, 1, 1, 4, 4, 2, 4, 3, 0, 1, 2, 1, 3, 1, 0, 1, 4, 0, 3, 2, 4, 4, 0, 4, 0, 0, 0, 0, 0, 1, 1, 2, 0, 4, 4, 4, 3, 4, 0, 3, 4, 2, 2, 3, 3, 0, 2, 0, 0, 0, 1, 0, 3, 3, 1, 1, 0, 3, 4, 0, 1, 0, 1, 4, 2, 3, 2, 0, 0, 3, 4, 4, 4, 4, 2, 3, 0, 0, 3, 2, 4, 3, 0, 1, 3, 1, 2, 2, 1, 1, 1, 0, 0, 0, 3, 0, 3, 0, 1, 4, 4, 0, 0, 1, 0, 2, 1, 4, 3, 4, 3, 0, 1, 4, 3, 4, 1, 4, 1, 1, 2, 1, 0, 1, 4, 3, 3, 0, 3, 2, 3, 4, 1, 1, 3, 3, 0, 1, 4, 1, 2, 1, 4, 3, 4, 2, 3, 1, 3, 4, 4, 0, 4, 0, 3, 3, 2, 2, 4, 2, 3, 1, 0, 4, 2, 3, 3, 0, 1, 2, 3, 2, 2, 4, 3, 4, 2, 1]
pubkeycol1750 = [4, 3, 3, 4, 0, 1, 4, 1, 0, 0, 3, 4, 2, 3, 4, 1, 4, 0, 1, 0, 2, 0, 3, 4, 1, 0, 0, 2, 2, 3, 3, 0, 4, 1, 2, 3, 1, 2, 4, 1, 0, 4, 4, 2, 3, 4, 0, 1, 0, 1, 4, 0, 2, 0, 1, 3, 0, 0, 3, 0, 2, 4, 0, 0, 4, 2, 2, 0, 4, 2, 2, 1, 3, 0, 2, 3, 2, 0, 1, 4, 2, 0, 1, 0, 2, 3, 1, 2, 3, 3, 0, 0, 2, 4, 1, 2, 4, 3, 0, 4, 4, 0, 3, 2, 3, 0, 1, 4, 1, 0, 4, 0, 3, 1, 0, 2, 4, 3, 3, 0, 1, 4, 3, 4, 3, 3, 4, 2, 4, 3, 2, 1, 3, 3, 1, 0, 0, 0, 2, 4, 0, 3, 2, 3, 3, 4, 2, 2, 2, 0, 1, 0, 3, 1, 3, 3, 0, 2, 2, 4, 1, 1, 0, 0, 2, 1, 1, 0, 2, 3, 2, 1, 3, 4, 0, 0, 2, 2, 4, 0, 2, 1, 4, 4, 0, 2, 1, 0, 0, 1, 1, 1, 3, 2, 3, 0, 2, 3, 0, 1, 2, 3, 2, 4, 2, 1, 1, 1, 3, 0, 1, 0, 2, 4, 4, 1, 3, 1, 4, 0, 2, 3, 2, 4, 3, 4, 4, 1, 4, 1, 4, 1, 1, 4, 0, 4, 0, 4, 4, 0, 2, 4, 4, 3, 2, 0, 1, 3, 1, 4, 3, 0, 2, 1, 4, 0, 2, 4, 3, 0, 4, 3, 1, 4, 4, 3, 1, 3, 2, 3, 0, 2, 4, 0, 4, 1, 2, 4, 2, 0, 1, 2, 4, 1, 1, 1, 4, 1, 0, 4, 2, 4, 0, 2, 3, 3, 0, 1, 0, 2, 0, 3, 2, 0, 1, 2, 4, 4, 3, 4, 3, 2, 4, 3, 0, 0, 3, 2, 2, 3, 4, 4, 1, 2, 3, 2, 0, 1, 2, 1, 2, 1, 0, 1, 4, 1, 2, 2, 1, 4, 1, 2, 1, 0, 4, 1, 3, 2, 0, 4, 3, 4, 3, 0, 0, 1, 4, 3, 3, 2, 2, 4, 1, 1, 3, 3, 1, 2, 1, 0, 2, 1, 0, 2, 0, 4, 3, 2, 4, 1, 1, 3, 2, 4, 4, 3, 0, 1, 1, 1, 3, 4, 4, 3, 3, 0, 3, 4, 4, 3, 2, 0, 4, 4, 3, 0, 0, 0, 4, 4, 0, 2, 4, 2, 2, 0, 2, 1, 2, 0, 4, 2, 0, 4, 1, 0, 0, 1, 1, 0, 1, 2, 2, 3, 3, 4, 2, 1, 2, 4, 1, 2, 4, 3, 4, 1, 3, 2, 1, 0, 1, 2, 2, 3, 3, 4, 4, 4, 1, 3, 3, 4, 1, 4, 2, 3, 1, 2, 3, 2, 1, 2, 3, 4, 3, 3, 1, 1, 1, 3, 2, 4, 0, 1, 1, 3, 4, 0, 1, 3, 1, 0, 4, 4, 1, 0, 2, 3, 0, 1, 3, 4, 2, 3, 0]
pubkeycol1751 = [2, 0, 1, 4, 4, 1, 0, 0, 2, 2, 3, 0, 1, 2, 2, 1, 3, 4, 3, 3, 2, 0, 4, 3, 2, 1, 2, 3, 2, 2, 0, 1, 2, 3, 4, 1, 3, 1, 2, 3, 3, 0, 1, 0, 4, 3, 2, 1, 3, 1, 3, 0, 0, 2, 0, 1, 0, 3, 2, 0, 3, 3, 4, 3, 4, 3, 1, 2, 2, 2, 4, 1, 0, 4, 2, 1, 0, 2, 3, 3, 0, 3, 3, 0, 1, 1, 2, 3, 1, 0, 1, 0, 1, 4, 1, 4, 0, 1, 3, 3, 3, 4, 1, 0, 4, 1, 1, 3, 0, 2, 1, 1, 3, 4, 4, 4, 1, 3, 3, 1, 1, 1, 4, 1, 2, 3, 4, 4, 3, 1, 1, 1, 0, 4, 4, 2, 2, 1, 1, 3, 0, 4, 2, 1, 2, 0, 3, 2, 3, 1, 4, 4, 2, 1, 2, 3, 2, 4, 4, 2, 1, 2, 2, 4, 4, 0, 0, 3, 4, 0, 2, 3, 0, 2, 4, 3, 4, 1, 2, 0, 4, 4, 3, 3, 0, 3, 4, 3, 3, 0, 4, 4, 2, 2, 1, 1, 4, 4, 2, 1, 3, 3, 0, 2, 0, 3, 3, 1, 0, 0, 2, 2, 4, 0, 1, 3, 3, 0, 3, 1, 0, 1, 2, 3, 3, 1, 1, 1, 3, 0, 1, 0, 4, 3, 3, 0, 1, 3, 3, 1, 3, 1, 3, 3, 1, 4, 2, 0, 0, 0, 2, 4, 2, 4, 3, 4, 3, 4, 0, 3, 2, 2, 3, 1, 3, 2, 0, 3, 0, 2, 0, 3, 0, 4, 1, 3, 0, 2, 0, 2, 1, 2, 1, 2, 2, 4, 0, 1, 3, 2, 2, 3, 0, 2, 0, 3, 1, 4, 2, 1, 1, 2, 0, 1, 1, 3, 1, 0, 1, 0, 3, 2, 3, 2, 4, 2, 3, 4, 4, 3, 4, 1, 3, 0, 4, 1, 4, 1, 1, 1, 1, 2, 1, 0, 4, 1, 2, 1, 4, 3, 2, 4, 2, 0, 2, 3, 4, 1, 4, 1, 4, 2, 2, 1, 4, 0, 0, 2, 2, 1, 0, 1, 2, 4, 4, 0, 1, 0, 3, 3, 3, 2, 2, 0, 3, 4, 0, 3, 3, 3, 1, 3, 4, 0, 3, 1, 2, 0, 4, 1, 3, 1, 3, 3, 2, 2, 3, 2, 0, 4, 1, 1, 4, 2, 4, 0, 1, 4, 0, 0, 3, 0, 1, 0, 2, 2, 2, 3, 1, 3, 1, 2, 2, 1, 3, 1, 4, 2, 3, 2, 3, 2, 0, 3, 4, 4, 2, 1, 4, 4, 4, 1, 1, 3, 0, 4, 0, 2, 4, 4, 0, 4, 0, 3, 4, 0, 4, 2, 2, 0, 4, 1, 3, 4, 4, 4, 4, 3, 1, 3, 1, 4, 4, 4, 3, 3, 4, 0, 0, 3, 0, 0, 2, 3, 3, 2, 2, 4, 1, 4, 2, 2, 0, 4, 3, 0, 4, 4, 2, 3, 1, 0, 2, 3, 1]
pubkeycol1752 = [0, 0, 1, 3, 0, 0, 1, 3, 2, 1, 4, 1, 4, 1, 0, 1, 3, 1, 2, 1, 2, 2, 0, 2, 3, 0, 4, 0, 0, 4, 4, 0, 1, 4, 2, 1, 2, 2, 0, 3, 0, 0, 4, 4, 0, 1, 4, 0, 1, 2, 3, 4, 1, 2, 1, 4, 3, 1, 0, 3, 1, 0, 1, 4, 2, 3, 0, 0, 3, 1, 0, 3, 4, 1, 2, 2, 0, 1, 1, 2, 4, 1, 2, 2, 1, 3, 4, 1, 0, 2, 2, 1, 0, 3, 1, 1, 3, 1, 3, 2, 3, 2, 3, 0, 4, 0, 1, 0, 1, 2, 0, 4, 2, 2, 0, 3, 1, 2, 3, 0, 0, 4, 3, 2, 3, 2, 2, 4, 3, 4, 0, 0, 1, 4, 4, 0, 0, 0, 0, 2, 1, 0, 1, 1, 3, 0, 2, 1, 4, 2, 0, 3, 1, 3, 4, 0, 2, 4, 3, 0, 2, 2, 2, 1, 1, 1, 3, 3, 0, 0, 4, 2, 3, 4, 3, 4, 3, 0, 1, 3, 2, 1, 1, 2, 1, 0, 4, 1, 4, 2, 1, 4, 0, 4, 2, 1, 1, 2, 2, 2, 1, 2, 3, 0, 2, 1, 0, 3, 3, 3, 4, 1, 3, 1, 2, 1, 1, 0, 4, 3, 2, 3, 1, 1, 3, 0, 0, 1, 1, 0, 1, 3, 3, 1, 4, 2, 1, 1, 1, 4, 1, 0, 1, 4, 4, 0, 0, 1, 3, 0, 3, 4, 1, 0, 0, 0, 3, 0, 2, 1, 3, 3, 4, 3, 3, 1, 0, 4, 3, 0, 3, 4, 2, 1, 3, 2, 3, 4, 2, 3, 2, 2, 1, 0, 4, 4, 1, 2, 2, 0, 3, 1, 0, 0, 3, 3, 4, 1, 1, 1, 4, 3, 4, 2, 0, 3, 1, 3, 1, 3, 3, 2, 2, 3, 3, 4, 0, 3, 1, 0, 2, 0, 2, 1, 2, 2, 3, 2, 4, 3, 4, 1, 2, 0, 3, 1, 2, 3, 3, 0, 0, 1, 1, 4, 1, 3, 1, 3, 1, 0, 0, 2, 1, 3, 4, 3, 4, 3, 4, 3, 2, 4, 3, 3, 2, 1, 4, 0, 1, 0, 3, 3, 4, 0, 0, 1, 4, 2, 4, 1, 1, 4, 1, 2, 1, 0, 3, 2, 1, 1, 4, 1, 3, 1, 0, 3, 1, 4, 3, 3, 0, 0, 3, 1, 4, 4, 1, 2, 1, 0, 4, 1, 0, 2, 2, 3, 1, 3, 4, 1, 1, 0, 1, 2, 4, 1, 2, 2, 1, 0, 4, 4, 0, 0, 1, 4, 4, 2, 2, 0, 0, 1, 1, 4, 3, 1, 1, 0, 4, 4, 2, 0, 1, 1, 4, 0, 3, 2, 4, 1, 0, 4, 0, 3, 1, 3, 4, 3, 2, 0, 2, 4, 3, 0, 0, 4, 4, 2, 3, 3, 1, 3, 0, 2, 2, 0, 2, 1, 3, 1, 0, 3, 2, 2, 1, 3, 0, 3, 2, 0, 3, 4, 4, 2, 2]
pubkeycol1753 = [0, 1, 4, 1, 0, 3, 1, 0, 2, 3, 2, 3, 0, 3, 3, 0, 1, 0, 0, 2, 4, 4, 3, 0, 3, 3, 0, 3, 2, 3, 1, 2, 1, 1, 3, 2, 0, 2, 0, 4, 1, 1, 1, 0, 0, 2, 3, 0, 4, 4, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 3, 0, 1, 1, 2, 1, 4, 1, 4, 0, 1, 2, 3, 2, 4, 4, 0, 1, 0, 1, 1, 1, 3, 0, 4, 0, 1, 1, 4, 1, 1, 0, 4, 4, 0, 1, 2, 3, 2, 2, 0, 2, 2, 4, 0, 0, 3, 1, 2, 0, 2, 2, 2, 0, 4, 1, 4, 1, 3, 4, 2, 0, 0, 4, 2, 0, 1, 1, 3, 0, 4, 3, 3, 2, 2, 4, 2, 3, 3, 4, 0, 3, 2, 0, 3, 0, 4, 2, 2, 0, 2, 4, 3, 2, 4, 1, 0, 3, 1, 0, 3, 1, 2, 1, 1, 4, 1, 4, 0, 3, 2, 0, 0, 1, 4, 4, 3, 1, 3, 0, 0, 3, 3, 2, 0, 1, 0, 1, 1, 3, 3, 2, 1, 0, 0, 0, 1, 4, 3, 3, 1, 4, 2, 0, 2, 2, 3, 0, 2, 2, 0, 3, 1, 1, 2, 0, 2, 3, 2, 3, 1, 4, 0, 2, 2, 4, 2, 1, 1, 1, 3, 1, 1, 0, 1, 1, 1, 4, 1, 3, 0, 4, 4, 3, 2, 1, 3, 2, 4, 3, 3, 0, 4, 4, 3, 0, 0, 4, 1, 4, 4, 4, 1, 3, 2, 4, 1, 1, 1, 1, 3, 0, 0, 2, 2, 2, 1, 2, 3, 3, 2, 2, 3, 2, 0, 3, 3, 3, 4, 4, 0, 4, 3, 0, 2, 4, 0, 4, 2, 4, 1, 2, 1, 0, 3, 0, 3, 2, 4, 1, 4, 4, 3, 1, 0, 3, 0, 0, 4, 0, 2, 4, 1, 4, 3, 2, 3, 2, 3, 0, 4, 0, 4, 3, 4, 2, 2, 3, 2, 2, 4, 1, 1, 2, 1, 2, 3, 4, 2, 0, 0, 3, 1, 0, 2, 0, 3, 0, 1, 1, 1, 0, 2, 3, 1, 3, 2, 1, 4, 3, 2, 0, 1, 0, 1, 4, 4, 2, 2, 2, 2, 0, 4, 0, 0, 4, 0, 0, 1, 4, 1, 4, 1, 3, 2, 0, 2, 3, 0, 0, 1, 4, 1, 1, 1, 2, 3, 3, 0, 2, 1, 1, 0, 4, 4, 0, 4, 0, 1, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 3, 0, 1, 1, 0, 4, 3, 0, 3, 4, 0, 0, 0, 0, 4, 4, 3, 2, 3, 0, 3, 3, 2, 1, 4, 3, 2, 4, 0, 3, 0, 1, 3, 1, 2, 4, 1, 0, 3, 3, 0, 3, 3, 0, 0, 1, 3, 0, 2, 1, 0, 3, 3, 4, 4, 4, 3, 2, 3, 0, 3, 2, 3, 0, 3, 3, 3, 2, 4, 2, 2, 3, 3, 3, 3]
pubkeycol1754 = [0, 3, 2, 2, 2, 1, 1, 4, 3, 2, 0, 2, 4, 1, 1, 3, 0, 3, 1, 1, 2, 2, 0, 1, 0, 0, 4, 0, 0, 1, 0, 0, 3, 1, 4, 3, 3, 4, 4, 2, 0, 1, 1, 0, 2, 2, 0, 3, 3, 0, 0, 1, 0, 0, 4, 2, 3, 1, 0, 2, 1, 3, 0, 4, 2, 3, 2, 1, 4, 4, 4, 0, 4, 1, 1, 3, 3, 0, 4, 1, 3, 2, 0, 1, 4, 4, 2, 1, 1, 3, 3, 1, 2, 4, 1, 4, 3, 1, 4, 3, 0, 1, 0, 0, 0, 3, 0, 2, 0, 3, 4, 4, 1, 1, 3, 0, 0, 2, 3, 1, 2, 4, 2, 0, 4, 4, 0, 1, 4, 2, 1, 1, 0, 0, 3, 1, 4, 0, 4, 1, 3, 1, 3, 3, 1, 0, 1, 4, 2, 0, 0, 2, 3, 1, 0, 1, 0, 4, 3, 2, 2, 4, 4, 2, 2, 0, 3, 2, 2, 1, 0, 3, 4, 2, 2, 0, 0, 0, 1, 4, 1, 1, 4, 1, 1, 3, 1, 1, 3, 2, 0, 4, 4, 1, 0, 3, 0, 1, 3, 3, 3, 4, 0, 0, 1, 1, 4, 0, 1, 1, 1, 2, 4, 1, 1, 2, 0, 4, 2, 4, 0, 3, 1, 4, 0, 1, 0, 4, 4, 1, 3, 1, 4, 2, 1, 1, 1, 3, 0, 0, 0, 2, 3, 0, 2, 4, 0, 1, 3, 2, 2, 3, 3, 4, 2, 0, 2, 0, 4, 3, 3, 0, 1, 2, 2, 3, 1, 3, 2, 4, 2, 4, 2, 1, 0, 1, 4, 4, 0, 2, 3, 3, 2, 0, 4, 2, 3, 3, 3, 0, 3, 2, 3, 1, 1, 1, 4, 2, 2, 3, 0, 4, 2, 3, 1, 2, 3, 2, 2, 1, 2, 4, 2, 2, 0, 2, 2, 4, 4, 4, 3, 4, 0, 4, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 4, 0, 3, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 3, 1, 3, 4, 3, 3, 2, 3, 4, 3, 1, 4, 1, 1, 3, 0, 2, 4, 1, 4, 2, 1, 3, 4, 1, 2, 4, 0, 0, 1, 0, 2, 4, 3, 0, 2, 4, 0, 0, 0, 1, 0, 4, 3, 2, 1, 3, 4, 2, 0, 3, 0, 4, 2, 2, 0, 4, 4, 1, 4, 2, 3, 1, 4, 1, 4, 0, 3, 0, 1, 3, 4, 2, 2, 4, 1, 4, 1, 3, 3, 2, 4, 3, 4, 2, 3, 3, 2, 4, 2, 2, 0, 2, 2, 4, 1, 2, 1, 0, 1, 0, 3, 4, 0, 4, 3, 2, 1, 3, 1, 1, 2, 3, 1, 3, 3, 0, 0, 2, 4, 4, 3, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 4, 3, 3, 0, 3, 2, 2, 4, 4, 3, 2, 3, 3, 0, 0, 2, 0, 0, 0, 1, 3, 1, 4]
pubkeycol1755 = [3, 3, 4, 0, 0, 4, 3, 4, 1, 3, 1, 3, 1, 2, 1, 3, 4, 1, 4, 0, 4, 1, 1, 4, 0, 1, 2, 4, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 3, 1, 2, 4, 0, 3, 4, 0, 4, 3, 1, 3, 0, 2, 3, 1, 3, 4, 3, 2, 2, 1, 4, 2, 1, 3, 4, 4, 3, 0, 2, 3, 2, 0, 1, 3, 0, 0, 1, 2, 3, 1, 3, 1, 4, 0, 0, 2, 0, 2, 2, 1, 3, 1, 0, 4, 0, 1, 2, 2, 0, 1, 4, 2, 2, 0, 4, 3, 4, 1, 1, 3, 2, 2, 3, 0, 4, 0, 1, 4, 2, 3, 3, 0, 4, 0, 1, 4, 0, 1, 0, 4, 2, 4, 2, 0, 4, 0, 3, 3, 0, 4, 1, 3, 4, 3, 4, 2, 0, 2, 0, 0, 1, 1, 1, 1, 4, 4, 0, 3, 0, 4, 0, 0, 2, 2, 0, 1, 1, 4, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 3, 1, 1, 2, 2, 0, 2, 4, 4, 4, 4, 2, 2, 2, 1, 3, 0, 2, 0, 4, 3, 1, 1, 0, 4, 1, 2, 1, 0, 2, 0, 1, 3, 0, 3, 4, 2, 1, 2, 2, 4, 1, 3, 1, 0, 4, 3, 1, 2, 1, 4, 0, 2, 1, 2, 2, 1, 0, 3, 2, 0, 1, 0, 1, 1, 1, 4, 2, 4, 1, 1, 1, 3, 1, 4, 3, 4, 2, 2, 0, 0, 2, 3, 4, 0, 1, 1, 0, 0, 4, 0, 4, 4, 0, 3, 0, 0, 2, 2, 0, 2, 4, 3, 1, 2, 2, 2, 1, 2, 1, 4, 2, 3, 0, 4, 4, 1, 3, 4, 0, 3, 3, 1, 2, 0, 4, 2, 2, 2, 1, 4, 2, 4, 2, 3, 2, 4, 3, 4, 3, 1, 2, 2, 0, 0, 1, 4, 3, 2, 4, 2, 3, 1, 2, 3, 4, 1, 1, 2, 0, 1, 2, 4, 3, 3, 3, 1, 4, 2, 4, 3, 3, 4, 2, 4, 4, 2, 3, 4, 1, 4, 4, 2, 3, 1, 1, 1, 2, 0, 2, 3, 1, 0, 3, 3, 0, 3, 2, 4, 0, 0, 1, 2, 3, 2, 2, 2, 1, 2, 2, 4, 2, 1, 0, 3, 1, 3, 0, 3, 4, 0, 0, 0, 0, 3, 0, 2, 2, 3, 2, 1, 1, 3, 0, 4, 3, 0, 4, 4, 2, 4, 2, 0, 1, 2, 4, 0, 1, 1, 0, 2, 3, 3, 0, 4, 3, 4, 4, 2, 1, 1, 3, 0, 0, 4, 3, 0, 1, 3, 1, 4, 1, 4, 2, 2, 4, 1, 4, 1, 0, 4, 0, 3, 0, 4, 4, 0, 3, 2, 1, 4, 0, 3, 0, 0, 4, 3, 2, 2, 4, 4, 0, 0, 0, 1, 0, 4, 2, 2, 2, 4, 0, 3, 3, 2, 4, 0, 2, 0, 4, 0, 4, 4, 2, 1, 3, 4]
pubkeycol1756 = [1, 0, 4, 3, 3, 0, 0, 1, 1, 2, 0, 2, 3, 4, 3, 4, 1, 2, 2, 0, 2, 0, 4, 1, 3, 3, 0, 0, 0, 3, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 4, 0, 3, 3, 1, 4, 2, 0, 2, 4, 3, 3, 0, 1, 4, 2, 4, 4, 3, 0, 3, 4, 4, 2, 4, 4, 2, 4, 3, 3, 4, 0, 4, 4, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 3, 3, 1, 0, 0, 3, 2, 4, 0, 3, 2, 0, 0, 1, 2, 4, 2, 4, 2, 0, 4, 2, 1, 1, 4, 2, 3, 2, 1, 2, 4, 1, 4, 2, 3, 0, 1, 3, 2, 3, 3, 1, 1, 1, 4, 1, 1, 4, 1, 1, 1, 2, 3, 0, 1, 2, 1, 3, 0, 4, 1, 1, 4, 2, 4, 1, 0, 2, 4, 2, 0, 0, 2, 1, 3, 4, 4, 1, 4, 1, 2, 3, 4, 2, 4, 0, 4, 3, 1, 1, 1, 4, 3, 4, 0, 3, 1, 4, 1, 2, 0, 1, 0, 0, 2, 2, 3, 2, 4, 1, 4, 2, 1, 2, 3, 2, 1, 4, 3, 3, 1, 0, 4, 3, 4, 3, 2, 0, 1, 1, 1, 3, 3, 2, 4, 4, 0, 3, 2, 3, 2, 0, 4, 0, 3, 3, 0, 4, 3, 3, 0, 3, 0, 0, 2, 1, 2, 1, 2, 1, 3, 3, 1, 3, 1, 2, 1, 3, 3, 2, 1, 4, 3, 4, 1, 3, 2, 1, 2, 1, 0, 3, 3, 2, 1, 3, 3, 1, 4, 2, 1, 2, 3, 1, 3, 3, 2, 4, 0, 2, 3, 3, 3, 4, 0, 0, 4, 1, 2, 4, 2, 4, 2, 4, 2, 0, 0, 0, 0, 2, 3, 0, 4, 2, 0, 3, 4, 4, 2, 4, 0, 2, 4, 0, 2, 4, 0, 2, 2, 4, 4, 0, 4, 0, 0, 2, 1, 2, 2, 4, 1, 1, 3, 2, 3, 1, 3, 2, 1, 4, 4, 2, 3, 1, 0, 4, 0, 3, 1, 1, 4, 2, 4, 2, 2, 4, 4, 3, 3, 0, 1, 3, 4, 2, 2, 3, 0, 4, 1, 2, 0, 2, 2, 3, 2, 2, 1, 0, 2, 4, 2, 1, 2, 0, 1, 2, 2, 2, 3, 0, 3, 0, 0, 2, 4, 2, 4, 3, 2, 4, 4, 0, 2, 1, 0, 0, 0, 0, 4, 3, 2, 3, 3, 3, 1, 4, 4, 0, 4, 2, 4, 1, 4, 4, 0, 1, 4, 1, 0, 4, 3, 3, 3, 4, 4, 1, 4, 3, 2, 1, 0, 4, 3, 1, 2, 2, 1, 1, 4, 0, 3, 0, 3, 2, 3, 3, 0, 3, 3, 0, 1, 3, 0, 1, 4, 4, 2, 1, 3, 1, 3, 1, 4, 0, 2, 4, 2, 1, 4, 3, 1, 3, 0, 3, 4, 0, 2, 1, 0, 3, 0, 3, 4, 4, 4, 4, 2, 4, 0, 3]
pubkeycol1757 = [2, 0, 4, 4, 4, 2, 2, 1, 4, 4, 2, 1, 1, 2, 2, 0, 1, 4, 0, 1, 2, 0, 2, 4, 4, 3, 4, 1, 4, 2, 0, 4, 0, 4, 0, 1, 1, 3, 0, 2, 0, 4, 4, 3, 2, 1, 1, 0, 0, 3, 2, 4, 2, 2, 4, 0, 4, 2, 4, 4, 0, 0, 0, 3, 1, 0, 1, 3, 2, 2, 0, 4, 0, 0, 0, 4, 3, 3, 1, 4, 1, 4, 2, 0, 2, 0, 0, 4, 0, 2, 3, 3, 1, 1, 2, 1, 4, 1, 2, 4, 2, 4, 2, 0, 0, 0, 4, 1, 1, 4, 2, 2, 1, 0, 0, 4, 4, 3, 0, 1, 2, 2, 1, 0, 4, 1, 1, 1, 3, 1, 0, 0, 4, 3, 0, 4, 3, 0, 3, 0, 1, 3, 2, 4, 2, 4, 2, 1, 3, 3, 3, 4, 1, 2, 3, 4, 4, 3, 4, 0, 1, 2, 2, 2, 1, 3, 3, 4, 1, 1, 3, 2, 4, 3, 0, 1, 2, 1, 0, 0, 2, 3, 4, 0, 4, 3, 3, 2, 1, 2, 3, 3, 0, 2, 0, 4, 2, 0, 4, 3, 4, 2, 3, 0, 1, 2, 1, 1, 2, 4, 0, 1, 3, 3, 4, 3, 4, 4, 1, 2, 4, 1, 3, 2, 0, 2, 0, 3, 1, 3, 2, 0, 0, 3, 3, 4, 2, 4, 3, 0, 2, 2, 2, 3, 1, 2, 2, 1, 1, 2, 1, 0, 0, 4, 3, 2, 4, 2, 2, 1, 2, 4, 0, 1, 1, 1, 3, 1, 1, 2, 1, 0, 4, 0, 3, 3, 1, 0, 3, 1, 0, 1, 4, 1, 4, 0, 1, 1, 4, 2, 2, 1, 1, 4, 3, 2, 4, 2, 1, 1, 3, 0, 0, 2, 1, 0, 1, 0, 3, 2, 0, 3, 4, 3, 2, 2, 2, 4, 3, 2, 0, 4, 0, 0, 4, 1, 2, 1, 0, 3, 1, 4, 2, 3, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 4, 1, 0, 2, 3, 4, 1, 2, 1, 3, 1, 3, 2, 1, 0, 1, 1, 1, 1, 4, 4, 1, 3, 2, 1, 2, 0, 4, 0, 3, 3, 2, 1, 0, 1, 3, 4, 1, 2, 4, 0, 2, 3, 1, 2, 4, 1, 4, 4, 1, 1, 0, 2, 0, 1, 1, 3, 0, 2, 4, 3, 4, 0, 1, 1, 0, 3, 0, 2, 0, 0, 0, 0, 3, 1, 2, 2, 2, 2, 2, 3, 2, 3, 4, 3, 0, 0, 4, 4, 3, 2, 1, 0, 3, 4, 1, 4, 3, 4, 2, 4, 2, 1, 1, 2, 3, 1, 0, 0, 3, 4, 4, 4, 0, 1, 3, 0, 2, 0, 0, 0, 4, 2, 1, 2, 2, 4, 2, 4, 4, 1, 3, 3, 1, 3, 2, 3, 2, 0, 3, 4, 0, 4, 2, 1, 4, 1, 1, 1, 2, 1, 0, 1, 3, 4, 4, 4, 0, 0, 3]
pubkeycol1758 = [4, 4, 4, 4, 2, 3, 4, 1, 3, 2, 1, 2, 3, 4, 4, 3, 0, 3, 4, 3, 2, 0, 1, 3, 1, 3, 0, 2, 2, 1, 2, 2, 1, 2, 4, 0, 3, 0, 2, 1, 2, 4, 1, 0, 0, 2, 0, 0, 2, 3, 0, 4, 4, 4, 3, 4, 4, 4, 3, 4, 2, 4, 4, 0, 3, 0, 0, 3, 3, 4, 0, 4, 0, 0, 4, 1, 2, 1, 2, 1, 4, 4, 1, 3, 1, 3, 3, 3, 4, 2, 0, 1, 1, 0, 2, 3, 0, 4, 1, 1, 1, 3, 1, 0, 3, 3, 1, 0, 1, 3, 3, 3, 1, 2, 3, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 4, 4, 1, 4, 0, 2, 3, 3, 4, 4, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 4, 4, 3, 0, 0, 2, 1, 3, 2, 3, 1, 0, 1, 0, 1, 3, 3, 0, 2, 0, 4, 4, 1, 3, 1, 0, 4, 2, 1, 4, 2, 3, 3, 1, 4, 3, 1, 3, 0, 3, 2, 2, 4, 4, 0, 0, 2, 4, 4, 0, 1, 3, 2, 0, 1, 0, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 2, 2, 1, 2, 4, 2, 3, 1, 0, 0, 3, 0, 3, 4, 2, 1, 4, 2, 4, 3, 2, 0, 4, 2, 4, 0, 4, 0, 2, 2, 0, 4, 0, 0, 2, 2, 1, 4, 4, 2, 0, 4, 4, 2, 0, 3, 2, 4, 1, 0, 4, 3, 4, 0, 0, 1, 3, 0, 3, 2, 3, 4, 1, 4, 4, 4, 0, 2, 3, 4, 3, 4, 0, 1, 3, 3, 4, 4, 4, 1, 3, 4, 4, 0, 0, 2, 4, 1, 2, 2, 0, 3, 3, 3, 0, 3, 2, 3, 4, 2, 2, 2, 3, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 3, 4, 1, 2, 0, 4, 4, 3, 2, 2, 4, 2, 0, 2, 3, 2, 0, 2, 0, 3, 3, 2, 3, 3, 4, 4, 0, 3, 2, 0, 0, 1, 3, 2, 3, 0, 3, 0, 4, 4, 2, 4, 4, 0, 3, 3, 0, 1, 3, 2, 4, 4, 0, 3, 0, 1, 0, 2, 0, 0, 2, 3, 4, 3, 0, 2, 4, 2, 1, 0, 4, 1, 2, 1, 2, 3, 0, 1, 1, 4, 0, 1, 4, 4, 0, 4, 3, 0, 4, 3, 1, 4, 2, 0, 1, 1, 1, 3, 3, 0, 0, 1, 3, 1, 3, 3, 0, 0, 2, 4, 3, 4, 0, 3, 3, 2, 2, 4, 1, 4, 2, 2, 4, 1, 2, 4, 1, 4, 2, 1, 4, 0, 4, 2, 0, 3, 4, 2, 2, 3, 4, 2, 1, 1, 1, 4, 3, 4, 0, 0, 0, 0, 1, 1, 1, 3, 1, 0, 1, 2, 2, 2, 3, 4, 4, 0, 1, 1, 2, 4, 0, 1, 0, 2, 1, 4, 2, 2, 3, 4]
pubkeycol1759 = [0, 0, 4, 2, 2, 3, 1, 4, 3, 1, 3, 2, 3, 3, 1, 1, 3, 3, 3, 2, 1, 1, 4, 2, 2, 4, 3, 4, 0, 0, 3, 1, 1, 0, 0, 2, 4, 2, 4, 4, 0, 0, 4, 1, 3, 3, 3, 2, 1, 4, 1, 1, 2, 1, 4, 4, 2, 2, 2, 0, 0, 1, 4, 2, 2, 0, 1, 3, 4, 1, 2, 2, 3, 4, 1, 3, 3, 3, 0, 4, 1, 3, 4, 1, 0, 0, 2, 2, 3, 1, 1, 1, 0, 4, 1, 1, 4, 2, 0, 4, 1, 2, 1, 4, 0, 2, 2, 3, 4, 2, 2, 4, 4, 3, 0, 0, 0, 0, 2, 1, 1, 0, 0, 3, 0, 1, 0, 4, 3, 3, 2, 4, 1, 4, 0, 4, 1, 2, 3, 2, 4, 0, 2, 3, 4, 4, 3, 1, 1, 1, 2, 3, 4, 1, 3, 0, 2, 4, 3, 1, 2, 3, 4, 1, 2, 4, 2, 4, 0, 1, 3, 0, 1, 4, 1, 0, 2, 4, 2, 2, 3, 3, 4, 4, 1, 0, 3, 4, 2, 3, 4, 1, 0, 3, 0, 4, 2, 4, 1, 4, 2, 2, 4, 3, 3, 1, 3, 3, 3, 1, 0, 0, 2, 2, 4, 0, 4, 3, 2, 0, 3, 0, 4, 2, 0, 2, 1, 3, 2, 2, 4, 0, 2, 4, 3, 1, 4, 0, 1, 0, 3, 3, 3, 0, 1, 3, 4, 4, 0, 4, 2, 0, 1, 4, 4, 1, 3, 3, 1, 0, 2, 0, 2, 3, 0, 3, 4, 1, 4, 1, 3, 3, 1, 2, 3, 0, 3, 2, 4, 2, 3, 1, 3, 1, 4, 2, 3, 3, 0, 3, 4, 1, 0, 1, 2, 3, 3, 1, 1, 4, 0, 2, 4, 2, 4, 4, 4, 1, 4, 1, 1, 0, 3, 0, 0, 2, 1, 0, 1, 2, 2, 3, 0, 0, 0, 0, 2, 1, 2, 3, 3, 4, 4, 4, 4, 4, 2, 4, 2, 2, 3, 2, 3, 2, 2, 1, 2, 4, 0, 2, 3, 1, 0, 4, 2, 3, 2, 3, 4, 1, 4, 4, 2, 0, 3, 4, 2, 3, 2, 2, 2, 3, 0, 0, 4, 2, 0, 3, 4, 2, 4, 4, 0, 0, 3, 3, 0, 4, 1, 2, 3, 4, 1, 4, 4, 0, 4, 2, 4, 1, 0, 4, 1, 3, 3, 1, 3, 0, 1, 3, 4, 2, 2, 0, 1, 1, 2, 1, 4, 0, 3, 0, 1, 1, 2, 3, 4, 4, 4, 2, 0, 4, 3, 4, 0, 1, 2, 2, 4, 0, 2, 4, 3, 2, 4, 4, 3, 0, 2, 2, 3, 3, 0, 3, 0, 4, 0, 4, 0, 0, 3, 1, 1, 3, 4, 4, 3, 4, 3, 4, 3, 3, 1, 2, 3, 4, 1, 4, 4, 2, 0, 1, 0, 3, 4, 1, 2, 1, 4, 3, 1, 3, 1, 0, 0, 1, 1, 0, 0, 4, 1, 4, 2, 2, 0]
pubkeycol1760 = [1, 1, 2, 1, 2, 3, 4, 3, 0, 0, 0, 2, 4, 1, 3, 0, 4, 4, 1, 4, 4, 4, 2, 3, 4, 4, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 4, 1, 4, 1, 4, 3, 1, 1, 1, 0, 4, 0, 4, 0, 0, 2, 1, 0, 0, 0, 3, 3, 1, 1, 3, 1, 4, 4, 2, 1, 3, 1, 1, 1, 2, 4, 0, 1, 1, 2, 2, 3, 3, 1, 4, 3, 1, 3, 1, 4, 2, 4, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 3, 4, 0, 4, 3, 0, 1, 2, 4, 4, 0, 0, 4, 2, 1, 4, 1, 0, 1, 3, 1, 2, 2, 1, 0, 1, 2, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 0, 0, 0, 4, 3, 2, 1, 4, 3, 2, 2, 2, 4, 3, 0, 4, 3, 3, 0, 2, 1, 2, 1, 0, 0, 1, 3, 3, 0, 3, 2, 2, 1, 4, 4, 4, 3, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 4, 4, 3, 2, 0, 1, 2, 2, 1, 2, 1, 4, 0, 0, 4, 4, 3, 1, 2, 4, 2, 2, 1, 4, 4, 4, 0, 3, 3, 3, 0, 0, 2, 1, 0, 2, 4, 0, 1, 1, 4, 0, 3, 4, 1, 2, 1, 1, 0, 4, 4, 4, 4, 4, 2, 1, 2, 3, 2, 1, 4, 4, 0, 1, 2, 0, 1, 1, 1, 4, 1, 3, 4, 1, 2, 4, 1, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 2, 4, 4, 3, 2, 4, 4, 4, 1, 2, 2, 2, 3, 2, 2, 1, 1, 1, 3, 4, 1, 1, 1, 0, 3, 2, 4, 1, 4, 1, 1, 0, 4, 2, 1, 3, 1, 1, 0, 1, 4, 1, 0, 0, 1, 4, 2, 4, 3, 2, 3, 0, 2, 2, 3, 1, 2, 1, 4, 3, 2, 2, 2, 0, 3, 3, 0, 4, 2, 1, 3, 4, 3, 0, 3, 4, 4, 4, 0, 1, 0, 3, 3, 1, 1, 1, 2, 0, 1, 2, 3, 2, 3, 1, 3, 3, 4, 4, 1, 2, 0, 4, 3, 4, 3, 0, 0, 4, 2, 1, 0, 2, 4, 4, 2, 1, 4, 4, 0, 3, 3, 1, 3, 2, 4, 1, 0, 1, 1, 4, 1, 1, 1, 0, 2, 4, 3, 3, 2, 2, 1, 4, 4, 3, 1, 2, 3, 0, 3, 1, 4, 0, 2, 3, 0, 3, 4, 4, 2, 1, 3, 0, 4, 2, 3, 0, 1, 2, 3, 2, 1, 0, 3, 0, 2, 3, 1, 1, 1, 3, 0, 0, 2, 4, 3, 1, 2, 0, 3, 4, 3, 1, 1, 2, 2, 0, 3, 1, 4, 1, 4, 3, 0, 4, 4, 3, 3, 1, 1, 4, 3, 4, 3, 2, 1, 4, 3, 4, 2, 0, 1, 1, 0, 0, 3, 0, 0, 3, 3, 2, 3, 4, 3, 3]
pubkeycol1761 = [0, 4, 4, 3, 0, 3, 3, 3, 3, 3, 3, 1, 1, 4, 4, 1, 3, 1, 0, 3, 3, 3, 2, 3, 4, 2, 3, 2, 0, 3, 2, 4, 4, 2, 4, 1, 4, 0, 2, 4, 1, 2, 3, 3, 2, 1, 3, 3, 3, 1, 4, 4, 0, 2, 4, 2, 2, 0, 2, 0, 4, 0, 3, 1, 2, 3, 1, 4, 1, 3, 2, 3, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 4, 2, 2, 2, 3, 2, 4, 0, 2, 1, 3, 4, 3, 4, 3, 3, 0, 3, 4, 3, 3, 3, 3, 1, 4, 4, 4, 4, 3, 0, 1, 3, 3, 3, 4, 0, 2, 2, 0, 2, 1, 1, 2, 2, 4, 4, 3, 3, 3, 1, 1, 0, 2, 4, 1, 1, 0, 0, 0, 3, 0, 3, 0, 2, 4, 4, 0, 2, 3, 1, 2, 0, 2, 2, 3, 0, 4, 1, 4, 2, 3, 4, 3, 3, 3, 1, 3, 2, 2, 4, 0, 4, 3, 2, 1, 0, 1, 1, 0, 4, 3, 3, 0, 1, 3, 2, 1, 0, 3, 3, 3, 3, 3, 1, 1, 4, 1, 4, 0, 1, 3, 0, 0, 1, 0, 0, 4, 0, 2, 0, 2, 4, 3, 0, 2, 0, 1, 4, 2, 2, 0, 3, 4, 4, 4, 0, 2, 3, 3, 1, 1, 0, 0, 2, 3, 2, 2, 3, 0, 4, 3, 3, 0, 4, 3, 4, 1, 1, 1, 3, 3, 3, 1, 4, 1, 1, 4, 3, 0, 3, 1, 1, 4, 4, 3, 4, 3, 0, 0, 3, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 4, 4, 0, 0, 3, 3, 3, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 4, 4, 4, 2, 1, 3, 2, 3, 0, 2, 4, 0, 4, 0, 2, 0, 3, 4, 1, 2, 2, 3, 1, 2, 1, 0, 4, 4, 3, 3, 2, 3, 4, 2, 4, 0, 4, 1, 3, 1, 0, 4, 3, 1, 3, 4, 4, 1, 2, 2, 2, 1, 3, 3, 1, 3, 0, 1, 1, 0, 0, 2, 1, 4, 1, 2, 1, 3, 3, 2, 1, 2, 2, 3, 4, 2, 1, 4, 3, 1, 3, 2, 0, 0, 1, 2, 3, 1, 3, 4, 0, 2, 3, 0, 4, 4, 0, 0, 0, 2, 2, 3, 3, 4, 3, 0, 2, 4, 3, 4, 4, 1, 4, 1, 3, 3, 1, 2, 4, 0, 2, 0, 3, 0, 1, 1, 0, 2, 3, 3, 0, 1, 1, 3, 1, 3, 0, 2, 4, 0, 0, 1, 4, 0, 1, 3, 2, 4, 1, 2, 3, 2, 3, 4, 2, 3, 2, 1, 1, 4, 1, 1, 3, 2, 2, 4, 2, 2, 2, 2, 0, 1, 0, 3, 1, 1, 2, 3, 0, 1, 4, 1, 4, 3, 4, 1, 2, 1, 0, 0, 4, 2, 3, 4, 1, 2, 4, 4, 2, 0, 1, 3, 3, 4, 3, 2]
pubkeycol1762 = [3, 1, 4, 4, 4, 3, 0, 4, 0, 4, 3, 0, 1, 1, 0, 0, 3, 3, 1, 1, 3, 0, 0, 3, 3, 0, 1, 1, 1, 1, 1, 3, 4, 1, 2, 3, 2, 1, 1, 3, 4, 4, 4, 1, 0, 3, 1, 4, 1, 1, 1, 3, 2, 4, 3, 3, 1, 2, 1, 3, 1, 3, 3, 0, 4, 0, 4, 1, 0, 3, 4, 1, 4, 1, 0, 1, 3, 3, 3, 0, 1, 2, 4, 0, 3, 1, 2, 0, 3, 3, 4, 2, 1, 1, 3, 0, 0, 0, 3, 0, 4, 2, 1, 0, 4, 3, 2, 1, 3, 1, 4, 3, 0, 2, 2, 3, 3, 0, 1, 4, 1, 4, 4, 4, 4, 1, 4, 3, 0, 1, 0, 0, 4, 1, 2, 1, 3, 3, 2, 3, 0, 4, 0, 3, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 3, 1, 2, 4, 2, 0, 3, 2, 2, 1, 1, 4, 4, 4, 1, 2, 0, 1, 4, 3, 1, 4, 1, 1, 4, 4, 1, 1, 0, 4, 3, 0, 3, 1, 0, 4, 2, 0, 4, 0, 1, 3, 0, 1, 4, 2, 3, 3, 1, 0, 0, 3, 0, 1, 4, 0, 0, 4, 1, 4, 0, 2, 4, 3, 3, 3, 3, 4, 1, 4, 4, 3, 1, 2, 1, 0, 4, 0, 3, 3, 4, 0, 1, 1, 4, 1, 4, 2, 3, 0, 2, 1, 3, 0, 2, 3, 3, 1, 0, 2, 3, 4, 2, 2, 0, 2, 4, 2, 2, 1, 0, 3, 1, 3, 4, 2, 3, 4, 2, 2, 0, 2, 4, 2, 4, 4, 4, 2, 1, 0, 3, 3, 0, 4, 1, 2, 3, 3, 4, 3, 4, 0, 3, 3, 4, 3, 4, 4, 1, 2, 0, 3, 1, 0, 3, 0, 0, 4, 3, 0, 1, 1, 4, 3, 3, 2, 4, 4, 2, 3, 1, 0, 1, 0, 3, 0, 3, 0, 3, 1, 0, 4, 0, 2, 3, 0, 4, 3, 1, 1, 3, 2, 4, 1, 2, 3, 2, 1, 1, 1, 3, 4, 2, 3, 2, 2, 3, 2, 2, 2, 1, 2, 4, 2, 3, 0, 1, 3, 1, 0, 2, 3, 3, 1, 3, 0, 4, 3, 1, 4, 4, 4, 2, 1, 3, 3, 0, 0, 1, 1, 2, 4, 1, 1, 0, 3, 3, 1, 1, 0, 2, 3, 1, 4, 0, 0, 0, 4, 3, 2, 2, 1, 0, 4, 0, 3, 1, 0, 1, 0, 2, 4, 1, 2, 1, 2, 4, 0, 1, 1, 0, 2, 2, 1, 4, 0, 2, 1, 1, 2, 0, 3, 2, 0, 3, 0, 4, 2, 2, 4, 1, 0, 4, 3, 4, 1, 0, 1, 0, 3, 0, 0, 2, 4, 2, 2, 0, 4, 4, 1, 4, 0, 4, 0, 4, 3, 0, 3, 3, 2, 0, 0, 0, 3, 1, 4, 2, 1, 2, 4, 1, 2, 3, 3, 4, 1, 2, 4, 1, 4, 3]
pubkeycol1763 = [0, 0, 2, 0, 3, 2, 1, 2, 4, 1, 4, 1, 3, 0, 3, 3, 2, 2, 0, 4, 2, 0, 2, 1, 2, 2, 0, 0, 1, 4, 0, 2, 1, 1, 4, 1, 4, 2, 2, 1, 2, 3, 1, 0, 2, 0, 2, 4, 2, 1, 3, 0, 0, 0, 4, 1, 2, 0, 2, 4, 2, 4, 0, 0, 4, 2, 4, 0, 0, 0, 4, 2, 2, 4, 3, 1, 4, 4, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 4, 1, 0, 1, 2, 4, 1, 0, 0, 0, 3, 0, 1, 1, 2, 4, 3, 0, 2, 3, 0, 2, 2, 1, 4, 0, 4, 3, 1, 3, 2, 2, 2, 4, 4, 1, 2, 3, 2, 3, 2, 3, 0, 3, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 4, 4, 1, 4, 4, 1, 4, 2, 3, 3, 1, 2, 1, 3, 4, 0, 1, 2, 3, 2, 3, 2, 3, 0, 4, 0, 2, 2, 2, 3, 0, 2, 2, 0, 0, 2, 3, 3, 0, 4, 3, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 4, 0, 4, 1, 1, 4, 3, 0, 2, 0, 1, 2, 2, 1, 3, 0, 2, 2, 0, 1, 1, 0, 3, 2, 2, 2, 1, 2, 3, 1, 2, 3, 4, 1, 1, 3, 4, 0, 3, 2, 0, 3, 2, 4, 2, 1, 3, 2, 2, 1, 0, 4, 3, 0, 1, 2, 3, 0, 0, 3, 3, 1, 0, 2, 1, 1, 1, 2, 4, 1, 3, 1, 0, 4, 3, 3, 0, 0, 0, 3, 3, 0, 1, 2, 3, 4, 2, 4, 0, 3, 0, 1, 1, 2, 4, 4, 2, 3, 1, 1, 3, 2, 2, 3, 4, 1, 1, 4, 4, 2, 1, 0, 1, 3, 3, 1, 0, 0, 2, 3, 2, 0, 0, 1, 3, 3, 3, 4, 2, 3, 0, 4, 4, 3, 4, 0, 3, 3, 2, 0, 3, 1, 1, 4, 4, 4, 1, 4, 3, 3, 1, 0, 4, 0, 3, 3, 1, 2, 4, 3, 4, 4, 1, 1, 4, 0, 3, 0, 0, 3, 0, 0, 1, 0, 4, 1, 0, 3, 2, 1, 0, 1, 2, 0, 1, 3, 3, 1, 0, 1, 1, 0, 3, 3, 1, 4, 0, 1, 0, 4, 1, 4, 2, 3, 0, 0, 0, 0, 2, 1, 2, 2, 4, 0, 3, 3, 1, 1, 1, 3, 4, 2, 3, 1, 0, 1, 4, 4, 0, 4, 0, 4, 2, 0, 3, 2, 1, 3, 3, 4, 4, 3, 3, 4, 2, 4, 1, 3, 0, 3, 3, 0, 4, 2, 1, 0, 4, 2, 1, 0, 0, 1, 0, 2, 4, 1, 0, 2, 0, 1, 3, 2, 0, 1, 2, 2, 1, 3, 4, 4, 4, 4, 0, 1, 1, 4, 1, 0, 1, 3, 4, 3, 3, 0, 1, 4, 4, 0, 0, 0, 1, 4, 1, 3, 1, 3, 0, 1, 3, 1, 3]
pubkeycol1764 = [2, 1, 1, 4, 1, 1, 1, 1, 1, 1, 4, 1, 4, 0, 4, 1, 0, 0, 3, 1, 1, 4, 0, 0, 0, 1, 3, 1, 2, 2, 4, 1, 1, 0, 2, 4, 3, 2, 3, 3, 2, 3, 3, 0, 4, 4, 2, 0, 0, 4, 1, 1, 4, 2, 0, 1, 1, 0, 2, 3, 1, 3, 3, 1, 3, 2, 0, 2, 4, 4, 3, 0, 1, 1, 3, 4, 2, 1, 2, 2, 0, 0, 1, 1, 3, 4, 3, 0, 3, 3, 0, 2, 4, 1, 4, 4, 1, 2, 4, 0, 1, 3, 4, 2, 3, 4, 2, 1, 0, 0, 3, 2, 4, 4, 1, 4, 4, 3, 4, 0, 3, 1, 3, 1, 1, 1, 4, 1, 3, 4, 1, 3, 3, 2, 3, 0, 0, 3, 3, 3, 3, 1, 2, 4, 0, 0, 2, 2, 3, 3, 1, 0, 3, 3, 0, 4, 3, 0, 1, 1, 2, 2, 3, 3, 4, 3, 2, 2, 4, 1, 3, 4, 1, 4, 4, 4, 2, 4, 3, 4, 1, 4, 1, 1, 0, 4, 4, 3, 2, 4, 0, 2, 2, 2, 0, 3, 2, 0, 1, 4, 1, 4, 3, 4, 1, 3, 2, 1, 0, 0, 4, 1, 3, 1, 1, 3, 1, 1, 0, 2, 0, 4, 1, 2, 3, 3, 1, 1, 3, 1, 0, 1, 1, 3, 2, 1, 3, 1, 1, 1, 0, 0, 1, 2, 3, 2, 0, 1, 3, 4, 3, 2, 3, 2, 3, 1, 2, 4, 4, 1, 0, 0, 2, 4, 0, 4, 3, 3, 1, 3, 4, 1, 0, 0, 3, 0, 1, 0, 4, 1, 1, 0, 4, 2, 0, 2, 3, 2, 4, 3, 1, 2, 4, 1, 3, 1, 4, 2, 3, 3, 1, 3, 3, 1, 4, 3, 4, 0, 1, 4, 1, 1, 4, 2, 0, 3, 1, 4, 3, 1, 3, 3, 1, 1, 1, 2, 4, 4, 0, 4, 2, 2, 4, 1, 0, 1, 2, 1, 3, 2, 1, 3, 3, 4, 3, 2, 3, 0, 3, 1, 1, 0, 4, 4, 1, 3, 1, 2, 4, 4, 1, 0, 1, 1, 2, 0, 2, 4, 2, 3, 3, 0, 0, 4, 1, 0, 4, 0, 3, 1, 4, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 3, 0, 0, 2, 0, 2, 3, 3, 0, 1, 3, 0, 1, 1, 3, 1, 1, 4, 2, 1, 4, 3, 3, 1, 2, 0, 4, 1, 2, 1, 3, 0, 2, 4, 2, 3, 1, 4, 3, 1, 0, 1, 0, 2, 0, 4, 1, 3, 2, 4, 3, 4, 1, 1, 0, 4, 1, 2, 3, 3, 0, 0, 2, 4, 4, 4, 3, 1, 2, 0, 1, 2, 0, 3, 1, 2, 4, 4, 1, 2, 2, 2, 1, 1, 4, 1, 0, 2, 1, 3, 2, 0, 3, 1, 0, 3, 4, 4, 1, 3, 4, 1, 0, 0, 4, 3, 2, 1, 3, 0, 3, 2]
pubkeycol1765 = [4, 1, 1, 0, 1, 1, 4, 3, 3, 0, 4, 4, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 4, 1, 2, 0, 2, 3, 1, 4, 2, 1, 3, 4, 1, 0, 3, 4, 4, 0, 0, 2, 1, 4, 4, 3, 1, 2, 1, 3, 0, 2, 2, 4, 0, 0, 1, 0, 2, 4, 0, 2, 3, 2, 0, 2, 4, 1, 0, 4, 2, 4, 4, 2, 2, 1, 0, 4, 4, 0, 1, 1, 2, 2, 1, 0, 3, 0, 2, 3, 3, 1, 3, 4, 1, 1, 2, 2, 1, 0, 3, 4, 0, 1, 4, 0, 1, 0, 2, 1, 4, 4, 3, 3, 2, 3, 2, 2, 4, 1, 0, 4, 2, 4, 3, 0, 1, 0, 2, 1, 0, 0, 4, 0, 1, 2, 1, 4, 3, 3, 4, 1, 0, 0, 0, 1, 0, 4, 3, 1, 1, 2, 4, 1, 0, 0, 0, 1, 4, 1, 2, 0, 2, 3, 1, 3, 1, 1, 1, 2, 4, 4, 1, 0, 0, 4, 1, 3, 3, 1, 4, 4, 2, 4, 2, 0, 2, 3, 4, 0, 1, 0, 1, 4, 0, 4, 0, 0, 0, 0, 2, 0, 3, 4, 2, 3, 0, 4, 0, 0, 4, 4, 3, 1, 4, 0, 1, 2, 0, 0, 4, 3, 2, 0, 4, 3, 1, 0, 0, 4, 1, 2, 4, 3, 3, 1, 0, 1, 3, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 3, 2, 0, 3, 4, 4, 0, 3, 4, 4, 3, 3, 0, 4, 3, 3, 0, 4, 3, 4, 0, 3, 4, 0, 0, 4, 1, 4, 1, 3, 3, 0, 2, 3, 1, 3, 2, 0, 1, 0, 1, 0, 4, 0, 0, 4, 2, 2, 2, 4, 3, 0, 3, 0, 3, 1, 2, 0, 4, 2, 0, 2, 4, 2, 4, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 3, 2, 3, 0, 4, 4, 0, 2, 4, 2, 2, 2, 1, 2, 2, 4, 3, 2, 2, 2, 2, 4, 2, 0, 4, 0, 4, 1, 2, 0, 1, 0, 2, 3, 1, 3, 1, 0, 3, 3, 0, 4, 1, 3, 2, 1, 0, 1, 3, 0, 1, 4, 2, 4, 2, 3, 2, 1, 0, 3, 4, 0, 3, 1, 1, 1, 0, 0, 0, 0, 0, 2, 4, 2, 1, 0, 4, 4, 0, 2, 3, 3, 2, 1, 4, 1, 2, 3, 4, 0, 4, 3, 4, 0, 1, 0, 2, 2, 3, 0, 4, 1, 1, 4, 4, 2, 3, 2, 2, 1, 1, 0, 3, 1, 1, 4, 4, 4, 1, 4, 3, 1, 3, 4, 0, 4, 3, 3, 1, 0, 1, 4, 2, 3, 1, 4, 2, 1, 4, 3, 3, 3, 1, 1, 1, 1, 0, 1, 2, 4, 3, 1, 3, 3, 1, 1, 2, 4, 4, 2, 3, 2, 0, 2, 2, 0, 1, 3, 3, 4, 3, 3, 3, 0, 2, 0, 4]
pubkeycol1766 = [1, 4, 4, 4, 2, 3, 4, 0, 4, 1, 1, 3, 4, 3, 3, 4, 3, 3, 1, 4, 0, 1, 1, 4, 2, 4, 2, 1, 4, 0, 0, 2, 4, 3, 0, 4, 4, 0, 2, 2, 2, 3, 1, 4, 4, 0, 4, 0, 2, 3, 0, 0, 4, 4, 1, 1, 1, 0, 1, 3, 1, 0, 1, 1, 2, 1, 1, 4, 1, 2, 1, 3, 3, 0, 1, 0, 2, 2, 3, 4, 1, 1, 2, 1, 4, 2, 2, 0, 2, 3, 4, 3, 3, 0, 1, 2, 0, 0, 0, 1, 4, 3, 1, 3, 4, 4, 2, 3, 4, 2, 2, 1, 2, 1, 1, 4, 2, 1, 3, 2, 2, 2, 0, 0, 0, 0, 2, 3, 1, 2, 1, 0, 0, 4, 3, 2, 2, 1, 2, 2, 3, 3, 3, 0, 3, 2, 0, 0, 4, 4, 3, 4, 3, 4, 0, 0, 0, 3, 0, 0, 1, 3, 1, 3, 4, 0, 0, 2, 3, 4, 0, 2, 1, 4, 0, 0, 2, 0, 3, 3, 4, 2, 4, 1, 1, 3, 2, 1, 2, 2, 3, 4, 0, 3, 1, 3, 3, 2, 1, 2, 2, 3, 4, 3, 0, 0, 4, 1, 3, 3, 0, 3, 2, 1, 4, 3, 0, 4, 4, 0, 4, 0, 3, 1, 0, 2, 2, 3, 0, 2, 2, 3, 4, 0, 4, 4, 1, 4, 3, 2, 3, 1, 1, 2, 0, 4, 1, 1, 2, 1, 4, 2, 4, 3, 3, 3, 2, 0, 2, 4, 2, 3, 0, 4, 1, 0, 4, 4, 1, 4, 2, 3, 1, 3, 0, 2, 1, 0, 1, 1, 0, 4, 1, 0, 4, 4, 3, 4, 0, 3, 3, 1, 0, 4, 2, 0, 1, 0, 0, 1, 4, 2, 0, 1, 1, 1, 2, 1, 0, 3, 1, 1, 1, 1, 1, 1, 2, 1, 2, 4, 0, 2, 0, 4, 4, 4, 3, 2, 4, 4, 2, 0, 1, 1, 2, 1, 1, 1, 3, 1, 2, 3, 1, 0, 4, 2, 1, 0, 4, 3, 4, 1, 2, 0, 1, 4, 1, 3, 4, 2, 3, 2, 4, 1, 4, 2, 4, 1, 3, 1, 0, 2, 3, 0, 1, 1, 3, 1, 2, 1, 1, 3, 0, 4, 4, 0, 3, 0, 3, 4, 2, 2, 4, 3, 4, 2, 4, 4, 0, 1, 1, 4, 1, 2, 3, 4, 0, 3, 3, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 4, 1, 4, 0, 0, 3, 2, 2, 2, 2, 4, 1, 3, 0, 0, 3, 2, 4, 4, 1, 3, 1, 4, 3, 3, 4, 1, 0, 1, 0, 1, 2, 0, 3, 1, 4, 1, 4, 1, 4, 0, 0, 4, 4, 4, 2, 0, 3, 3, 4, 4, 4, 2, 2, 1, 1, 2, 2, 2, 4, 4, 2, 4, 0, 4, 0, 0, 2, 0, 1, 0, 4, 2, 2, 3, 1, 2, 3, 1, 2, 2, 3, 0, 2]
pubkeycol1767 = [1, 2, 1, 4, 3, 2, 0, 0, 1, 0, 4, 4, 1, 3, 1, 0, 4, 2, 1, 1, 2, 3, 4, 4, 1, 3, 0, 4, 0, 3, 0, 3, 3, 4, 3, 0, 3, 0, 3, 0, 4, 3, 2, 2, 4, 3, 1, 1, 1, 3, 4, 2, 0, 4, 3, 0, 0, 0, 3, 3, 3, 1, 1, 1, 2, 1, 3, 4, 0, 2, 1, 4, 0, 2, 4, 2, 3, 2, 2, 4, 4, 3, 0, 2, 2, 1, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 3, 2, 4, 3, 2, 4, 2, 4, 0, 3, 0, 4, 1, 2, 4, 4, 1, 0, 2, 4, 0, 4, 1, 0, 3, 3, 3, 0, 4, 3, 2, 3, 1, 4, 4, 3, 4, 1, 1, 0, 1, 4, 3, 0, 4, 1, 3, 3, 1, 4, 4, 2, 1, 2, 1, 1, 3, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 4, 0, 3, 4, 4, 1, 2, 0, 1, 4, 2, 2, 4, 0, 2, 0, 4, 2, 2, 2, 1, 1, 1, 3, 1, 0, 1, 2, 1, 1, 0, 1, 3, 3, 2, 1, 1, 2, 4, 2, 1, 3, 2, 1, 1, 0, 4, 1, 3, 2, 0, 1, 4, 4, 4, 3, 1, 0, 3, 0, 2, 2, 4, 3, 3, 1, 1, 0, 3, 0, 2, 1, 4, 3, 1, 4, 1, 4, 0, 1, 4, 0, 0, 1, 3, 2, 0, 0, 4, 2, 1, 0, 2, 0, 3, 1, 4, 3, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 3, 2, 1, 4, 1, 0, 0, 0, 1, 3, 3, 2, 4, 0, 3, 2, 4, 1, 1, 4, 4, 0, 4, 0, 0, 3, 1, 0, 3, 0, 2, 4, 1, 3, 0, 2, 4, 1, 1, 1, 4, 3, 3, 2, 0, 2, 0, 3, 4, 1, 1, 0, 3, 4, 3, 0, 2, 3, 3, 4, 1, 1, 0, 1, 4, 0, 2, 0, 3, 3, 1, 3, 1, 1, 2, 1, 1, 3, 4, 0, 2, 2, 2, 2, 3, 3, 3, 0, 0, 1, 0, 3, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 3, 1, 3, 0, 2, 3, 1, 0, 3, 2, 2, 0, 1, 0, 1, 3, 3, 4, 1, 1, 2, 3, 3, 1, 3, 4, 0, 1, 1, 4, 4, 0, 3, 2, 2, 0, 0, 1, 2, 2, 3, 1, 3, 4, 4, 0, 4, 1, 1, 4, 3, 1, 0, 1, 3, 4, 2, 0, 3, 2, 0, 4, 4, 0, 2, 1, 3, 2, 0, 4, 2, 2, 0, 2, 3, 2, 0, 1, 0, 4, 3, 0, 0, 4, 2, 2, 0, 2, 3, 2, 1, 0, 2, 4, 3, 2, 4, 3, 0, 1, 3, 4, 0, 2, 3, 2, 3, 1, 4, 4, 4, 4, 0, 1, 2, 4, 2, 2, 2, 3, 0, 4, 3, 0, 4, 4]
pubkeycol1768 = [4, 1, 4, 0, 2, 1, 4, 0, 3, 4, 3, 0, 0, 2, 3, 4, 0, 4, 2, 4, 4, 4, 0, 0, 4, 0, 3, 1, 3, 4, 0, 4, 0, 2, 0, 4, 0, 4, 0, 1, 2, 4, 0, 2, 0, 2, 2, 4, 3, 3, 2, 1, 4, 0, 3, 0, 1, 1, 4, 4, 1, 3, 4, 4, 4, 3, 3, 3, 4, 1, 4, 1, 3, 0, 0, 4, 4, 3, 3, 3, 1, 4, 0, 4, 1, 2, 4, 1, 4, 1, 0, 2, 0, 3, 4, 3, 4, 4, 1, 3, 4, 2, 3, 2, 4, 2, 3, 1, 2, 1, 0, 4, 0, 2, 0, 3, 3, 4, 0, 3, 3, 2, 4, 2, 4, 2, 3, 0, 1, 1, 0, 0, 0, 4, 1, 3, 1, 3, 2, 4, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 4, 1, 1, 4, 4, 3, 2, 4, 4, 4, 4, 0, 4, 4, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 4, 0, 1, 1, 0, 1, 4, 4, 3, 2, 3, 4, 4, 4, 3, 0, 4, 4, 1, 2, 4, 4, 2, 4, 2, 4, 1, 3, 3, 4, 2, 3, 0, 2, 0, 3, 0, 0, 2, 2, 0, 4, 0, 3, 4, 1, 2, 2, 2, 3, 2, 0, 1, 3, 1, 1, 1, 4, 2, 4, 4, 3, 3, 1, 1, 1, 2, 3, 4, 2, 2, 1, 4, 1, 0, 0, 0, 2, 4, 1, 0, 0, 2, 2, 2, 0, 2, 3, 1, 4, 1, 3, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 3, 0, 2, 4, 3, 0, 3, 0, 2, 0, 0, 1, 1, 4, 3, 4, 2, 3, 2, 0, 3, 1, 2, 0, 3, 3, 3, 4, 4, 1, 4, 1, 4, 4, 0, 3, 3, 3, 3, 4, 0, 0, 2, 1, 0, 1, 0, 4, 3, 2, 3, 0, 3, 3, 1, 0, 3, 4, 4, 2, 3, 3, 1, 4, 0, 0, 4, 1, 3, 1, 3, 0, 1, 2, 1, 1, 1, 0, 1, 3, 2, 3, 3, 1, 4, 2, 1, 3, 4, 2, 3, 2, 4, 3, 1, 3, 3, 1, 3, 0, 0, 4, 2, 4, 2, 4, 0, 1, 3, 0, 4, 1, 1, 0, 4, 2, 3, 1, 2, 2, 1, 1, 4, 2, 0, 1, 2, 4, 0, 1, 4, 0, 1, 0, 1, 0, 3, 0, 4, 3, 2, 2, 3, 2, 3, 3, 1, 0, 0, 4, 4, 2, 2, 0, 0, 0, 4, 2, 4, 3, 1, 0, 3, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 3, 1, 2, 4, 0, 4, 2, 3, 4, 0, 4, 2, 2, 2, 2, 2, 2, 4, 0, 2, 3, 0, 3, 2, 4, 1, 3, 1, 1, 3, 4, 3, 0, 1, 4, 0, 2, 2, 1, 1, 1, 3, 4, 0, 0, 2, 0, 1, 4, 3]
pubkeycol1769 = [3, 2, 0, 2, 2, 1, 0, 4, 1, 0, 1, 0, 0, 0, 2, 4, 1, 3, 3, 3, 3, 3, 0, 2, 4, 4, 4, 4, 0, 4, 0, 0, 0, 3, 0, 3, 4, 3, 1, 1, 1, 0, 3, 1, 4, 0, 2, 0, 3, 0, 4, 1, 3, 1, 0, 2, 3, 3, 2, 0, 1, 0, 3, 0, 1, 4, 0, 2, 0, 2, 0, 2, 2, 3, 0, 2, 1, 2, 3, 1, 4, 3, 0, 2, 1, 3, 4, 1, 3, 0, 1, 3, 3, 2, 1, 2, 0, 2, 0, 2, 3, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 3, 3, 4, 0, 4, 2, 3, 1, 2, 4, 1, 2, 0, 2, 2, 2, 3, 0, 3, 4, 2, 2, 2, 1, 4, 3, 3, 0, 4, 4, 3, 1, 2, 1, 1, 2, 1, 0, 3, 4, 0, 2, 2, 2, 3, 4, 3, 4, 0, 2, 4, 1, 4, 0, 3, 0, 0, 4, 3, 4, 2, 3, 3, 1, 4, 2, 0, 2, 4, 1, 0, 0, 2, 4, 2, 2, 3, 2, 0, 0, 3, 3, 4, 2, 3, 4, 4, 3, 0, 1, 4, 1, 1, 1, 1, 4, 2, 1, 1, 3, 0, 3, 1, 0, 4, 3, 4, 2, 4, 2, 2, 1, 2, 3, 2, 2, 2, 0, 2, 3, 1, 2, 4, 3, 3, 0, 3, 0, 3, 2, 2, 2, 4, 0, 3, 2, 4, 4, 0, 3, 4, 4, 4, 4, 4, 3, 0, 0, 2, 2, 4, 1, 2, 1, 2, 4, 3, 3, 1, 1, 4, 2, 2, 2, 2, 0, 0, 3, 0, 0, 2, 3, 0, 3, 3, 0, 2, 0, 2, 0, 3, 1, 0, 3, 0, 2, 4, 3, 2, 3, 2, 3, 3, 1, 4, 4, 2, 4, 2, 3, 0, 2, 2, 2, 1, 4, 0, 2, 4, 1, 2, 1, 0, 2, 4, 3, 2, 3, 3, 3, 2, 4, 3, 4, 0, 1, 4, 2, 0, 0, 2, 2, 4, 0, 1, 0, 4, 2, 2, 1, 3, 4, 1, 3, 3, 4, 2, 1, 3, 0, 3, 4, 0, 1, 0, 1, 1, 4, 4, 4, 0, 3, 4, 4, 1, 0, 4, 0, 0, 0, 2, 0, 2, 0, 0, 0, 3, 4, 4, 2, 4, 4, 3, 1, 4, 1, 3, 4, 3, 0, 1, 0, 3, 3, 3, 0, 4, 1, 2, 4, 2, 3, 2, 4, 2, 1, 2, 1, 4, 0, 4, 3, 3, 2, 0, 1, 0, 3, 1, 3, 4, 2, 1, 4, 0, 3, 1, 3, 3, 0, 4, 3, 3, 3, 2, 4, 1, 4, 2, 2, 2, 4, 2, 2, 0, 4, 1, 1, 0, 3, 3, 1, 3, 0, 4, 4, 2, 4, 3, 4, 0, 2, 1, 0, 4, 4, 0, 1, 2, 2, 4, 0, 2, 2, 1, 0, 0, 1, 3, 0, 1, 4, 4, 4, 1, 1, 0, 0, 1, 3, 0, 3]
pubkeycol1770 = [4, 3, 0, 3, 1, 4, 1, 3, 2, 1, 0, 1, 4, 2, 1, 1, 2, 0, 0, 3, 4, 2, 0, 4, 3, 3, 4, 1, 3, 0, 2, 3, 3, 0, 0, 1, 2, 0, 0, 4, 3, 4, 0, 3, 4, 0, 3, 1, 4, 4, 2, 2, 3, 3, 3, 0, 0, 4, 1, 0, 0, 4, 4, 2, 0, 1, 3, 2, 2, 4, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 3, 0, 0, 1, 0, 2, 2, 4, 1, 0, 3, 3, 3, 2, 3, 2, 1, 2, 2, 3, 1, 4, 4, 1, 1, 1, 2, 0, 4, 4, 0, 1, 4, 2, 4, 0, 3, 0, 2, 2, 0, 4, 2, 3, 0, 0, 1, 3, 1, 4, 4, 3, 2, 4, 2, 3, 1, 3, 3, 1, 3, 4, 1, 3, 4, 2, 3, 2, 1, 0, 0, 0, 4, 0, 4, 3, 2, 1, 0, 1, 0, 1, 2, 1, 4, 1, 1, 2, 0, 1, 2, 3, 3, 2, 2, 0, 0, 1, 2, 3, 0, 0, 4, 0, 3, 3, 2, 2, 4, 3, 2, 0, 2, 1, 2, 0, 2, 3, 1, 2, 1, 3, 3, 3, 0, 0, 0, 3, 0, 2, 4, 3, 2, 4, 3, 0, 0, 4, 1, 3, 3, 3, 4, 0, 1, 0, 4, 0, 1, 2, 4, 3, 1, 1, 4, 2, 0, 0, 1, 4, 4, 1, 0, 1, 1, 2, 3, 1, 3, 0, 1, 2, 0, 3, 2, 0, 3, 4, 3, 2, 0, 1, 0, 1, 2, 1, 4, 0, 4, 2, 1, 4, 1, 3, 1, 1, 0, 1, 4, 2, 2, 1, 4, 0, 0, 0, 1, 4, 0, 3, 0, 4, 2, 0, 3, 2, 4, 2, 4, 0, 0, 2, 0, 3, 4, 3, 0, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 3, 2, 2, 1, 0, 4, 4, 1, 4, 2, 3, 3, 3, 3, 0, 3, 3, 0, 4, 1, 2, 3, 0, 0, 3, 3, 4, 1, 3, 4, 0, 2, 1, 4, 2, 0, 0, 4, 3, 3, 3, 4, 0, 3, 4, 1, 4, 4, 0, 1, 3, 0, 4, 0, 2, 2, 2, 0, 3, 3, 2, 2, 0, 1, 3, 2, 3, 1, 4, 0, 0, 2, 1, 0, 2, 1, 4, 2, 1, 4, 1, 2, 3, 4, 3, 0, 4, 3, 0, 0, 2, 2, 2, 3, 4, 2, 3, 1, 2, 0, 1, 3, 4, 3, 2, 3, 4, 2, 3, 1, 1, 1, 3, 3, 2, 0, 0, 3, 1, 0, 2, 0, 4, 3, 4, 4, 4, 1, 0, 4, 4, 2, 0, 1, 0, 1, 2, 1, 2, 3, 1, 4, 3, 3, 3, 3, 1, 0, 2, 2, 3, 0, 3, 0, 3, 2, 3, 1, 2, 2, 1, 2, 1, 2, 4, 3, 0, 2, 2, 4, 3, 3, 3, 0, 3, 0, 1, 4, 1, 2, 1, 4, 2, 2, 0, 0, 4]
pubkeycol1771 = [1, 3, 4, 1, 0, 0, 0, 0, 1, 4, 0, 1, 3, 4, 0, 3, 1, 0, 2, 0, 0, 1, 2, 0, 4, 0, 3, 2, 0, 2, 0, 3, 1, 0, 1, 2, 1, 2, 0, 2, 4, 3, 4, 2, 1, 2, 2, 3, 3, 3, 4, 1, 3, 4, 1, 0, 1, 4, 1, 1, 4, 0, 3, 4, 2, 0, 2, 1, 4, 1, 1, 1, 2, 0, 1, 4, 0, 2, 1, 4, 0, 1, 2, 4, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 4, 3, 3, 2, 1, 4, 0, 3, 0, 0, 1, 4, 0, 4, 4, 3, 2, 3, 4, 1, 4, 1, 1, 2, 2, 0, 2, 2, 0, 2, 4, 0, 2, 1, 1, 2, 2, 3, 4, 4, 4, 4, 3, 1, 1, 1, 2, 1, 4, 0, 2, 1, 0, 1, 0, 2, 2, 4, 4, 3, 0, 1, 1, 3, 2, 2, 2, 0, 4, 4, 1, 3, 0, 0, 0, 3, 0, 0, 3, 4, 3, 3, 4, 1, 4, 2, 3, 1, 1, 4, 3, 2, 2, 0, 2, 2, 4, 0, 0, 0, 2, 3, 2, 3, 1, 3, 0, 1, 2, 1, 0, 2, 3, 3, 1, 1, 3, 2, 4, 1, 2, 2, 2, 3, 0, 0, 3, 4, 3, 0, 4, 4, 4, 3, 2, 3, 1, 4, 0, 2, 2, 1, 4, 3, 0, 3, 1, 1, 4, 2, 1, 1, 1, 0, 1, 4, 0, 0, 4, 2, 2, 0, 3, 0, 1, 0, 0, 4, 0, 3, 0, 2, 1, 0, 3, 4, 2, 0, 2, 1, 2, 2, 2, 4, 1, 2, 3, 4, 4, 3, 4, 4, 3, 2, 4, 3, 4, 1, 3, 4, 3, 3, 1, 1, 0, 2, 3, 3, 1, 4, 2, 3, 2, 0, 0, 0, 2, 1, 3, 4, 2, 0, 0, 3, 3, 3, 0, 0, 1, 0, 4, 1, 4, 1, 4, 4, 0, 0, 3, 0, 3, 1, 0, 1, 2, 1, 3, 3, 4, 4, 3, 0, 3, 0, 1, 2, 1, 4, 4, 1, 0, 2, 0, 2, 3, 3, 2, 0, 1, 1, 1, 4, 0, 1, 4, 2, 4, 3, 1, 1, 1, 2, 1, 1, 3, 4, 0, 4, 0, 3, 4, 1, 2, 0, 0, 3, 2, 2, 4, 3, 0, 2, 1, 3, 1, 0, 0, 3, 3, 4, 2, 3, 1, 1, 1, 1, 0, 1, 3, 3, 2, 0, 0, 0, 3, 1, 4, 2, 3, 4, 1, 2, 2, 3, 4, 0, 3, 0, 3, 0, 2, 3, 1, 3, 4, 0, 4, 0, 2, 4, 4, 4, 4, 0, 3, 1, 3, 3, 0, 1, 4, 3, 4, 4, 0, 3, 0, 2, 2, 3, 2, 0, 1, 1, 3, 2, 2, 4, 2, 2, 2, 4, 4, 0, 0, 3, 1, 2, 3, 2, 4, 0, 4, 0, 2, 3, 4, 1, 2, 1, 1, 3, 1, 3, 3, 1, 3, 0, 3, 1, 1]
pubkeycol1772 = [2, 0, 3, 3, 0, 1, 0, 0, 3, 0, 0, 1, 3, 4, 2, 2, 0, 1, 4, 4, 3, 4, 3, 4, 1, 4, 0, 4, 1, 2, 0, 0, 2, 3, 4, 3, 1, 4, 4, 3, 0, 2, 2, 0, 2, 4, 3, 1, 3, 0, 2, 0, 2, 0, 0, 4, 3, 0, 1, 4, 0, 1, 1, 0, 3, 0, 0, 0, 0, 4, 1, 0, 1, 0, 2, 4, 2, 1, 2, 2, 0, 3, 0, 4, 0, 4, 4, 3, 1, 2, 1, 0, 2, 1, 0, 0, 4, 2, 0, 3, 0, 1, 0, 2, 0, 0, 1, 2, 4, 3, 4, 0, 1, 3, 3, 0, 4, 1, 4, 3, 4, 3, 4, 1, 1, 0, 2, 3, 3, 0, 4, 2, 3, 2, 4, 1, 2, 3, 0, 3, 4, 2, 1, 0, 4, 2, 3, 3, 0, 2, 3, 4, 1, 4, 2, 2, 4, 2, 1, 0, 2, 4, 0, 2, 3, 3, 4, 3, 3, 2, 2, 2, 4, 0, 1, 3, 2, 2, 1, 3, 3, 1, 1, 2, 4, 4, 2, 3, 0, 4, 4, 4, 2, 1, 0, 4, 2, 3, 0, 3, 4, 1, 2, 2, 4, 3, 1, 2, 3, 2, 1, 1, 1, 4, 0, 4, 0, 3, 1, 0, 2, 4, 0, 4, 4, 2, 3, 4, 3, 4, 2, 3, 3, 1, 2, 4, 2, 4, 4, 4, 3, 4, 2, 0, 3, 1, 1, 0, 2, 1, 1, 2, 4, 1, 3, 0, 4, 4, 2, 2, 3, 1, 0, 0, 2, 2, 1, 4, 4, 0, 3, 3, 1, 4, 2, 0, 0, 1, 0, 0, 4, 0, 4, 0, 0, 1, 3, 3, 3, 3, 1, 2, 4, 2, 3, 0, 0, 1, 0, 4, 1, 3, 1, 4, 4, 0, 2, 3, 3, 3, 4, 2, 2, 0, 1, 3, 4, 0, 0, 4, 3, 3, 0, 4, 3, 4, 1, 4, 2, 1, 4, 3, 4, 0, 0, 1, 0, 1, 0, 4, 2, 1, 4, 1, 2, 0, 0, 2, 1, 3, 3, 0, 1, 2, 4, 3, 1, 4, 0, 2, 0, 4, 4, 0, 3, 1, 4, 3, 1, 0, 2, 3, 3, 1, 1, 0, 2, 1, 0, 4, 1, 0, 3, 0, 2, 2, 2, 4, 1, 1, 0, 0, 0, 1, 3, 0, 1, 0, 3, 4, 2, 4, 2, 0, 0, 0, 4, 1, 1, 0, 2, 2, 3, 2, 4, 1, 0, 3, 2, 0, 0, 2, 2, 3, 2, 4, 0, 1, 2, 1, 4, 3, 0, 1, 4, 4, 1, 4, 2, 4, 0, 4, 1, 0, 2, 3, 2, 2, 1, 4, 0, 2, 2, 0, 4, 4, 4, 3, 1, 0, 0, 4, 1, 4, 4, 2, 4, 3, 0, 1, 2, 0, 4, 0, 1, 4, 1, 0, 3, 4, 0, 1, 0, 1, 2, 4, 1, 3, 0, 2, 4, 1, 2, 2, 1, 3, 0, 2, 1, 4, 0, 0, 4, 3, 3]
pubkeycol1773 = [1, 4, 1, 4, 4, 2, 4, 1, 1, 1, 0, 4, 4, 2, 1, 1, 0, 3, 4, 3, 4, 0, 4, 1, 4, 2, 2, 0, 2, 3, 4, 1, 0, 1, 1, 3, 2, 1, 4, 0, 0, 4, 2, 3, 3, 3, 4, 4, 4, 0, 1, 4, 2, 4, 4, 1, 3, 0, 4, 0, 2, 3, 0, 1, 4, 1, 3, 3, 1, 2, 2, 0, 1, 1, 3, 2, 4, 1, 4, 3, 3, 3, 0, 3, 0, 4, 3, 0, 2, 4, 3, 2, 3, 4, 1, 1, 3, 3, 4, 0, 1, 2, 2, 3, 4, 0, 3, 3, 3, 4, 0, 2, 1, 3, 2, 3, 2, 1, 2, 1, 4, 1, 2, 0, 3, 3, 1, 3, 3, 0, 0, 4, 1, 0, 0, 3, 3, 2, 0, 1, 1, 2, 2, 2, 2, 4, 2, 1, 1, 0, 2, 4, 4, 0, 2, 2, 2, 0, 1, 3, 4, 3, 4, 1, 1, 0, 1, 3, 0, 2, 3, 4, 1, 2, 0, 2, 0, 1, 1, 0, 3, 3, 3, 1, 3, 1, 2, 4, 0, 0, 1, 1, 4, 0, 3, 0, 3, 0, 4, 2, 4, 3, 2, 4, 0, 0, 0, 0, 0, 4, 1, 2, 3, 0, 1, 1, 0, 3, 1, 4, 3, 3, 4, 4, 3, 1, 4, 4, 3, 2, 0, 3, 0, 1, 1, 3, 0, 1, 1, 0, 0, 3, 3, 1, 1, 0, 1, 1, 2, 3, 1, 4, 3, 4, 1, 0, 1, 1, 1, 0, 2, 3, 1, 0, 2, 4, 1, 2, 4, 3, 1, 3, 2, 3, 2, 2, 3, 3, 1, 2, 4, 1, 4, 4, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 3, 1, 4, 1, 0, 0, 4, 1, 3, 1, 0, 0, 3, 3, 4, 2, 1, 0, 1, 0, 4, 2, 2, 0, 0, 3, 3, 0, 0, 3, 0, 2, 0, 1, 4, 0, 4, 0, 3, 3, 2, 4, 1, 1, 0, 3, 0, 1, 4, 4, 3, 0, 3, 4, 4, 4, 3, 1, 0, 2, 1, 4, 2, 4, 3, 2, 4, 4, 0, 2, 4, 2, 2, 4, 0, 3, 3, 3, 2, 2, 1, 1, 4, 0, 4, 3, 2, 4, 0, 1, 3, 3, 4, 4, 0, 3, 0, 3, 3, 2, 1, 3, 1, 4, 1, 4, 1, 0, 4, 3, 3, 4, 2, 3, 4, 1, 1, 0, 1, 2, 3, 2, 3, 4, 0, 4, 2, 4, 2, 0, 1, 0, 2, 2, 4, 2, 2, 0, 4, 4, 3, 0, 4, 2, 0, 0, 2, 0, 2, 1, 4, 2, 4, 3, 0, 0, 3, 4, 0, 0, 2, 3, 4, 4, 3, 2, 2, 0, 4, 2, 1, 1, 3, 4, 3, 2, 1, 0, 0, 0, 4, 2, 4, 4, 0, 4, 4, 1, 3, 3, 4, 3, 4, 1, 4, 2, 3, 3, 1, 2, 2, 1, 0, 3, 3, 4, 1]
pubkeycol1774 = [2, 4, 2, 2, 3, 1, 3, 3, 4, 4, 3, 1, 4, 0, 0, 3, 4, 4, 3, 2, 4, 0, 0, 3, 4, 4, 0, 1, 4, 4, 1, 1, 3, 3, 1, 0, 0, 4, 2, 0, 2, 4, 3, 3, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 3, 1, 3, 1, 1, 4, 3, 4, 2, 4, 4, 0, 1, 3, 4, 3, 4, 2, 0, 0, 4, 1, 0, 4, 3, 1, 4, 1, 3, 3, 4, 4, 3, 2, 2, 3, 4, 2, 0, 0, 0, 2, 2, 3, 2, 1, 2, 0, 4, 0, 2, 0, 0, 0, 0, 3, 2, 4, 2, 2, 0, 1, 1, 4, 4, 4, 0, 4, 4, 3, 2, 2, 0, 4, 4, 2, 4, 4, 0, 3, 4, 1, 4, 1, 4, 4, 1, 1, 1, 2, 4, 3, 1, 2, 1, 4, 2, 0, 1, 4, 1, 2, 2, 1, 2, 3, 4, 4, 4, 4, 2, 4, 4, 1, 3, 1, 2, 3, 3, 1, 0, 0, 0, 4, 2, 0, 4, 4, 3, 2, 0, 4, 2, 3, 2, 4, 2, 0, 0, 1, 2, 1, 3, 3, 0, 3, 2, 3, 2, 2, 4, 1, 1, 4, 2, 1, 3, 2, 1, 4, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 4, 4, 2, 2, 4, 2, 1, 0, 2, 4, 2, 3, 2, 1, 4, 2, 0, 1, 1, 1, 4, 1, 3, 3, 4, 1, 1, 0, 3, 3, 0, 0, 1, 3, 1, 3, 2, 3, 4, 4, 1, 1, 3, 3, 4, 1, 4, 2, 0, 2, 2, 4, 3, 0, 2, 2, 2, 1, 4, 3, 1, 4, 3, 0, 3, 1, 3, 4, 3, 4, 3, 1, 0, 3, 1, 4, 1, 4, 1, 4, 2, 0, 4, 3, 2, 3, 3, 2, 3, 2, 4, 2, 1, 1, 2, 1, 0, 2, 4, 2, 0, 3, 1, 4, 4, 2, 1, 0, 4, 4, 1, 3, 4, 4, 3, 0, 0, 0, 3, 3, 2, 0, 3, 1, 0, 2, 4, 1, 2, 2, 0, 4, 2, 3, 3, 1, 3, 4, 1, 3, 1, 2, 1, 4, 1, 2, 1, 4, 2, 1, 0, 4, 0, 1, 4, 3, 0, 4, 4, 1, 3, 4, 0, 2, 3, 3, 0, 1, 0, 2, 2, 0, 2, 0, 3, 1, 4, 0, 4, 0, 1, 4, 2, 0, 4, 0, 1, 1, 2, 3, 2, 3, 4, 3, 0, 4, 0, 1, 4, 1, 4, 4, 4, 2, 3, 1, 1, 4, 3, 1, 1, 1, 4, 4, 2, 2, 2, 3, 2, 2, 0, 2, 0, 1, 2, 3, 0, 4, 1, 1, 2, 3, 2, 3, 1, 3, 0, 0, 1, 2, 4, 3, 3, 0, 0, 0, 4, 0, 0, 0, 0, 1, 2, 0, 4, 2, 1, 4, 1, 3, 1, 0, 0, 4, 1, 1, 2, 0, 0, 2, 1, 4, 2, 1, 0, 1, 4, 0, 4, 0, 0]
pubkeycol1775 = [2, 2, 1, 3, 1, 4, 2, 1, 4, 4, 4, 4, 1, 1, 2, 2, 1, 3, 3, 4, 3, 0, 1, 1, 1, 2, 1, 4, 1, 1, 0, 0, 1, 1, 3, 1, 4, 0, 4, 3, 3, 4, 1, 4, 4, 0, 4, 3, 0, 4, 4, 1, 3, 0, 2, 4, 1, 1, 1, 1, 4, 0, 4, 3, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 3, 4, 2, 1, 1, 0, 2, 0, 4, 3, 2, 3, 2, 4, 1, 0, 2, 2, 1, 4, 0, 2, 0, 0, 0, 2, 4, 4, 2, 0, 3, 4, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 4, 4, 2, 3, 0, 3, 2, 3, 3, 1, 3, 4, 0, 0, 1, 0, 1, 0, 4, 4, 4, 3, 2, 0, 1, 3, 4, 2, 1, 4, 0, 4, 4, 1, 4, 2, 4, 4, 2, 4, 3, 1, 2, 4, 0, 3, 1, 2, 4, 3, 2, 2, 4, 3, 2, 3, 0, 2, 3, 2, 3, 4, 2, 2, 0, 3, 3, 1, 0, 1, 2, 4, 2, 3, 4, 4, 3, 0, 0, 1, 1, 0, 2, 3, 1, 1, 4, 1, 1, 0, 4, 0, 1, 1, 1, 3, 0, 0, 1, 0, 2, 0, 3, 0, 2, 2, 4, 2, 1, 3, 0, 1, 3, 1, 4, 3, 1, 0, 0, 0, 4, 0, 2, 4, 1, 2, 0, 1, 2, 3, 3, 3, 0, 2, 2, 1, 3, 4, 3, 3, 4, 1, 2, 4, 2, 4, 1, 4, 2, 1, 1, 4, 1, 2, 2, 2, 0, 3, 0, 1, 4, 4, 1, 3, 0, 2, 2, 1, 1, 3, 3, 3, 2, 2, 2, 0, 3, 1, 1, 3, 2, 2, 4, 3, 1, 0, 4, 4, 1, 1, 3, 4, 0, 0, 2, 3, 4, 0, 1, 0, 4, 1, 1, 0, 0, 1, 4, 3, 1, 1, 1, 1, 3, 2, 0, 3, 3, 4, 4, 1, 3, 3, 2, 1, 0, 2, 1, 4, 4, 3, 0, 2, 0, 2, 4, 0, 4, 2, 3, 0, 0, 1, 1, 1, 1, 4, 1, 0, 3, 3, 1, 2, 2, 4, 1, 4, 0, 4, 0, 2, 4, 0, 3, 3, 1, 4, 3, 4, 0, 3, 0, 2, 1, 2, 3, 4, 1, 3, 1, 2, 3, 4, 0, 2, 2, 1, 2, 1, 2, 2, 3, 0, 2, 4, 3, 3, 1, 4, 4, 3, 1, 4, 3, 2, 3, 3, 2, 4, 3, 2, 3, 2, 0, 0, 3, 3, 0, 1, 1, 4, 0, 3, 1, 0, 4, 1, 1, 4, 0, 1, 1, 3, 0, 2, 0, 2, 0, 0, 2, 3, 4, 2, 1, 2, 3, 4, 3, 2, 3, 1, 0, 3, 2, 1, 2, 3, 1, 4, 3, 1, 4, 2, 2, 2, 0, 3, 4, 1, 1, 0, 2, 3, 2, 1, 4, 1, 1, 0, 0, 1, 2, 4, 4, 3, 3]
pubkeycol1776 = [4, 0, 0, 1, 4, 3, 4, 2, 4, 3, 1, 2, 1, 3, 1, 0, 3, 3, 0, 4, 2, 4, 2, 3, 0, 4, 2, 2, 1, 2, 1, 2, 4, 2, 3, 2, 3, 0, 0, 1, 3, 4, 3, 1, 0, 3, 2, 3, 2, 1, 2, 1, 0, 1, 4, 1, 1, 4, 1, 1, 2, 4, 1, 2, 0, 2, 1, 2, 1, 1, 3, 0, 3, 4, 3, 0, 0, 4, 1, 2, 4, 0, 1, 0, 4, 1, 3, 4, 0, 3, 0, 0, 0, 1, 4, 1, 3, 0, 4, 0, 3, 4, 0, 0, 2, 3, 0, 3, 4, 4, 3, 1, 4, 0, 0, 3, 3, 3, 1, 0, 0, 0, 3, 1, 2, 4, 2, 3, 0, 3, 0, 1, 3, 3, 3, 4, 0, 1, 0, 4, 2, 4, 0, 3, 1, 0, 2, 3, 2, 2, 1, 4, 2, 2, 4, 4, 3, 3, 3, 0, 0, 2, 2, 0, 4, 4, 2, 4, 2, 3, 3, 0, 0, 3, 1, 0, 2, 3, 1, 2, 4, 0, 1, 2, 1, 4, 0, 4, 1, 2, 1, 1, 4, 3, 1, 1, 4, 1, 4, 2, 1, 2, 2, 4, 0, 4, 4, 2, 4, 2, 1, 1, 1, 0, 2, 4, 2, 0, 4, 0, 0, 3, 0, 0, 2, 4, 1, 2, 4, 2, 4, 1, 0, 4, 1, 2, 0, 4, 0, 4, 2, 4, 3, 2, 4, 2, 2, 4, 3, 0, 3, 3, 1, 1, 3, 1, 3, 4, 0, 2, 1, 2, 1, 3, 3, 2, 3, 3, 2, 4, 3, 3, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 4, 1, 2, 1, 0, 2, 3, 2, 3, 3, 1, 3, 1, 1, 1, 2, 3, 0, 1, 2, 2, 0, 0, 3, 3, 3, 1, 1, 0, 1, 3, 2, 3, 3, 2, 3, 3, 1, 4, 0, 2, 0, 2, 1, 4, 1, 1, 4, 3, 4, 4, 4, 3, 2, 0, 4, 1, 1, 4, 3, 1, 3, 3, 1, 3, 0, 4, 0, 3, 1, 3, 3, 0, 3, 3, 1, 4, 4, 3, 0, 3, 3, 2, 4, 1, 4, 3, 4, 4, 3, 3, 1, 1, 3, 2, 0, 1, 4, 0, 4, 1, 0, 3, 1, 3, 0, 1, 3, 4, 0, 1, 4, 0, 3, 2, 4, 4, 1, 0, 3, 4, 4, 1, 2, 2, 3, 0, 2, 3, 3, 3, 1, 1, 3, 3, 4, 1, 1, 2, 2, 0, 2, 3, 0, 4, 4, 1, 2, 3, 1, 0, 2, 4, 1, 3, 0, 1, 1, 2, 2, 2, 3, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 3, 0, 0, 4, 4, 0, 3, 2, 3, 1, 1, 2, 1, 4, 3, 0, 2, 3, 1, 3, 3, 4, 4, 0, 2, 2, 4, 4, 3, 4, 4, 0, 1, 0, 0, 0, 2, 1, 4, 0, 0, 3, 3, 2, 4, 0, 4, 2]
pubkeycol1777 = [0, 3, 1, 2, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 4, 2, 4, 0, 3, 0, 4, 3, 4, 3, 4, 3, 0, 0, 1, 1, 4, 1, 4, 0, 4, 2, 2, 4, 3, 3, 4, 4, 4, 1, 1, 4, 0, 3, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 3, 4, 1, 1, 1, 3, 3, 0, 4, 1, 4, 0, 3, 0, 3, 1, 2, 0, 4, 2, 0, 4, 1, 4, 4, 4, 4, 4, 4, 2, 1, 2, 1, 0, 2, 4, 3, 4, 3, 3, 1, 4, 3, 2, 1, 2, 0, 1, 1, 3, 3, 2, 3, 0, 2, 1, 1, 3, 2, 0, 2, 4, 0, 0, 1, 3, 1, 2, 3, 4, 1, 0, 2, 3, 2, 4, 2, 4, 0, 3, 2, 4, 2, 1, 4, 4, 0, 4, 4, 0, 4, 4, 3, 0, 1, 4, 1, 2, 4, 2, 3, 4, 2, 4, 3, 2, 1, 1, 0, 1, 1, 4, 2, 3, 2, 3, 2, 1, 0, 0, 3, 1, 4, 4, 2, 1, 0, 4, 2, 4, 3, 4, 1, 3, 3, 2, 2, 0, 3, 4, 3, 4, 4, 4, 1, 1, 4, 2, 2, 0, 3, 2, 2, 2, 2, 3, 3, 2, 4, 0, 4, 3, 3, 1, 1, 2, 3, 4, 1, 0, 3, 0, 4, 4, 0, 4, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 4, 4, 3, 1, 3, 2, 0, 1, 0, 3, 0, 3, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 4, 2, 0, 2, 3, 0, 2, 0, 3, 2, 4, 4, 3, 1, 2, 4, 4, 2, 2, 4, 0, 4, 0, 3, 0, 4, 1, 0, 4, 2, 1, 3, 4, 3, 2, 1, 0, 0, 4, 4, 1, 0, 2, 1, 1, 4, 2, 0, 0, 3, 4, 3, 3, 3, 2, 1, 3, 3, 0, 2, 2, 1, 2, 2, 0, 1, 4, 2, 0, 1, 0, 1, 3, 3, 2, 3, 2, 4, 1, 0, 4, 3, 3, 3, 2, 1, 3, 3, 3, 3, 2, 1, 4, 0, 0, 4, 0, 0, 1, 0, 4, 0, 4, 3, 4, 4, 0, 2, 3, 1, 3, 4, 3, 0, 3, 4, 3, 2, 0, 0, 4, 3, 0, 3, 2, 0, 1, 4, 4, 0, 2, 3, 4, 3, 2, 2, 1, 4, 2, 1, 2, 3, 2, 0, 2, 0, 2, 0, 1, 3, 1, 1, 1, 4, 1, 2, 0, 2, 3, 0, 1, 4, 4, 0, 4, 3, 4, 0, 0, 1, 1, 1, 3, 0, 1, 3, 0, 2, 1, 0, 0, 2, 3, 4, 4, 3, 3, 3, 1, 1, 3, 2, 3, 4, 0, 2, 2, 3, 0, 4, 3, 4, 0, 2, 2, 3, 1, 1, 2, 4, 3, 4, 0, 3, 3, 3, 0, 1, 0, 2, 3, 1, 2, 0, 0, 0, 2, 0, 2, 2]
pubkeycol1778 = [4, 1, 1, 2, 2, 3, 0, 1, 2, 3, 2, 1, 0, 0, 4, 1, 4, 0, 4, 0, 2, 3, 2, 4, 1, 1, 4, 0, 1, 4, 0, 2, 0, 3, 4, 3, 0, 4, 0, 4, 2, 4, 4, 0, 4, 0, 4, 0, 3, 2, 0, 0, 1, 4, 0, 4, 2, 4, 2, 2, 4, 3, 3, 0, 4, 2, 3, 2, 3, 2, 1, 0, 4, 2, 3, 2, 3, 4, 1, 4, 0, 1, 4, 4, 0, 3, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 3, 2, 1, 4, 1, 1, 0, 1, 0, 1, 2, 2, 2, 4, 3, 4, 0, 1, 1, 1, 4, 0, 2, 4, 0, 0, 2, 4, 0, 2, 4, 4, 3, 4, 0, 2, 1, 4, 0, 2, 1, 3, 2, 1, 0, 1, 3, 0, 1, 0, 1, 3, 3, 2, 4, 3, 3, 4, 3, 4, 4, 1, 0, 4, 4, 3, 2, 0, 2, 3, 3, 3, 2, 2, 3, 4, 0, 3, 4, 0, 2, 0, 2, 4, 3, 2, 3, 1, 2, 0, 1, 2, 0, 3, 0, 4, 2, 1, 2, 4, 4, 4, 1, 1, 2, 4, 3, 4, 1, 1, 0, 1, 4, 4, 0, 4, 4, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 4, 2, 4, 4, 1, 1, 2, 4, 1, 4, 2, 4, 1, 0, 3, 0, 3, 0, 2, 0, 3, 0, 4, 0, 1, 2, 2, 2, 3, 2, 3, 1, 0, 4, 4, 1, 2, 1, 2, 4, 0, 4, 2, 2, 3, 4, 2, 2, 4, 4, 1, 4, 0, 0, 1, 4, 4, 3, 2, 4, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 4, 1, 1, 1, 1, 4, 1, 1, 3, 2, 0, 3, 1, 3, 1, 0, 0, 1, 2, 0, 2, 2, 4, 4, 1, 0, 1, 0, 0, 3, 2, 1, 0, 4, 4, 0, 3, 0, 0, 4, 1, 4, 3, 4, 4, 0, 4, 0, 0, 1, 2, 3, 4, 0, 1, 2, 0, 0, 3, 4, 0, 3, 0, 4, 1, 0, 3, 3, 4, 4, 2, 0, 4, 3, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 4, 4, 0, 2, 1, 0, 2, 3, 4, 1, 1, 3, 1, 2, 1, 1, 3, 3, 3, 0, 4, 2, 1, 4, 4, 1, 0, 0, 2, 1, 0, 3, 1, 4, 4, 2, 2, 4, 2, 1, 1, 2, 2, 4, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 3, 1, 0, 1, 0, 4, 1, 3, 2, 3, 2, 3, 4, 0, 0, 0, 0, 0, 3, 4, 0, 0, 2, 1, 0, 3, 2, 1, 2, 0, 2, 0, 2, 2, 2, 3, 1, 0, 0, 3, 2, 0, 0, 2, 4, 1, 0, 4, 4, 1, 0, 4, 2, 1, 0, 0]
pubkeycol1779 = [3, 2, 3, 0, 4, 3, 1, 3, 0, 0, 2, 1, 3, 1, 1, 2, 3, 2, 1, 3, 0, 3, 1, 3, 1, 1, 2, 4, 0, 1, 3, 1, 0, 3, 1, 3, 0, 2, 3, 2, 1, 3, 0, 1, 4, 3, 4, 3, 0, 1, 3, 1, 4, 2, 4, 1, 0, 0, 2, 3, 3, 1, 3, 0, 4, 0, 2, 0, 4, 2, 4, 3, 0, 3, 1, 2, 0, 3, 3, 3, 3, 0, 3, 3, 2, 2, 4, 3, 0, 0, 3, 1, 0, 4, 2, 3, 0, 0, 3, 3, 3, 3, 3, 1, 4, 2, 3, 1, 1, 0, 1, 0, 3, 0, 4, 4, 2, 0, 3, 0, 0, 1, 1, 0, 0, 2, 4, 3, 4, 1, 3, 4, 0, 4, 1, 1, 3, 0, 3, 1, 0, 3, 0, 2, 4, 1, 2, 4, 2, 1, 2, 0, 1, 4, 0, 0, 3, 4, 4, 3, 4, 1, 4, 3, 3, 1, 1, 4, 3, 1, 2, 3, 1, 1, 3, 0, 4, 0, 1, 1, 3, 3, 2, 4, 1, 3, 4, 0, 4, 3, 2, 1, 1, 0, 1, 0, 2, 3, 2, 1, 4, 0, 3, 3, 4, 4, 3, 0, 0, 2, 3, 2, 2, 2, 3, 1, 4, 1, 4, 1, 4, 0, 0, 4, 0, 2, 1, 0, 0, 3, 3, 0, 4, 2, 2, 0, 1, 3, 3, 3, 4, 3, 4, 3, 3, 4, 1, 4, 0, 0, 0, 4, 1, 2, 2, 0, 4, 4, 0, 1, 1, 1, 1, 2, 2, 3, 2, 1, 3, 4, 4, 1, 0, 0, 0, 3, 1, 0, 0, 3, 1, 2, 1, 1, 3, 3, 1, 2, 1, 2, 0, 4, 2, 1, 2, 0, 4, 0, 4, 1, 1, 1, 4, 1, 4, 0, 4, 2, 4, 0, 4, 3, 3, 1, 1, 4, 2, 0, 3, 1, 1, 2, 1, 3, 4, 3, 0, 3, 2, 0, 4, 1, 4, 0, 0, 0, 3, 2, 1, 0, 3, 3, 3, 3, 4, 4, 4, 2, 2, 2, 0, 2, 4, 3, 1, 4, 4, 0, 1, 0, 1, 4, 1, 3, 0, 1, 2, 3, 4, 0, 4, 0, 4, 0, 4, 3, 1, 3, 0, 2, 4, 3, 0, 4, 2, 2, 4, 1, 1, 3, 2, 3, 4, 4, 4, 2, 4, 2, 0, 1, 0, 1, 0, 4, 4, 0, 4, 4, 1, 1, 3, 4, 3, 4, 1, 3, 0, 0, 2, 4, 4, 0, 3, 0, 1, 2, 4, 3, 2, 0, 3, 4, 3, 0, 0, 2, 3, 1, 4, 4, 4, 3, 3, 4, 3, 4, 0, 3, 2, 0, 3, 3, 2, 1, 1, 1, 4, 3, 3, 1, 2, 3, 1, 3, 3, 1, 0, 1, 1, 4, 1, 0, 2, 4, 4, 2, 1, 2, 1, 3, 1, 3, 0, 0, 0, 4, 1, 1, 4, 2, 0, 0, 2, 3, 3, 1, 2, 4, 0, 1, 0, 4, 0, 2, 4]
pubkeycol1780 = [1, 4, 1, 3, 3, 1, 1, 0, 3, 1, 2, 4, 1, 1, 3, 3, 1, 4, 1, 2, 1, 0, 2, 1, 3, 0, 4, 0, 0, 1, 1, 2, 4, 0, 4, 3, 0, 1, 4, 2, 1, 2, 1, 2, 0, 4, 4, 4, 1, 2, 3, 4, 0, 0, 0, 3, 1, 2, 2, 4, 0, 3, 1, 3, 1, 0, 2, 0, 1, 3, 1, 3, 0, 4, 2, 4, 0, 1, 3, 4, 1, 4, 4, 1, 3, 1, 3, 4, 3, 4, 4, 0, 4, 3, 3, 1, 3, 0, 1, 1, 0, 2, 4, 3, 4, 1, 2, 3, 0, 2, 1, 4, 3, 3, 2, 2, 3, 3, 4, 0, 1, 4, 0, 3, 1, 0, 2, 1, 4, 3, 4, 1, 1, 3, 4, 0, 4, 4, 1, 2, 2, 2, 3, 2, 2, 2, 2, 4, 4, 0, 1, 3, 4, 3, 1, 1, 1, 3, 3, 2, 2, 0, 2, 3, 4, 1, 0, 3, 3, 4, 3, 1, 0, 2, 0, 3, 2, 4, 1, 4, 2, 1, 3, 3, 4, 4, 0, 2, 2, 0, 3, 1, 3, 1, 0, 1, 2, 3, 1, 4, 1, 0, 3, 3, 3, 0, 4, 3, 4, 1, 1, 1, 1, 2, 1, 4, 4, 2, 0, 4, 3, 4, 4, 2, 4, 4, 3, 1, 0, 4, 0, 1, 4, 3, 2, 0, 1, 2, 0, 4, 2, 0, 0, 0, 3, 0, 2, 1, 2, 2, 4, 4, 2, 2, 2, 0, 3, 0, 4, 4, 3, 2, 0, 1, 2, 4, 3, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 2, 2, 0, 4, 3, 0, 4, 3, 1, 4, 0, 4, 0, 4, 1, 0, 1, 0, 2, 3, 4, 1, 4, 3, 3, 3, 2, 1, 3, 1, 0, 0, 3, 3, 0, 1, 2, 0, 2, 2, 0, 0, 4, 0, 1, 0, 4, 2, 3, 2, 3, 1, 3, 1, 4, 3, 3, 4, 4, 3, 0, 2, 0, 4, 3, 0, 3, 4, 2, 3, 4, 2, 2, 4, 1, 4, 2, 2, 4, 3, 3, 0, 2, 0, 1, 3, 0, 3, 2, 1, 1, 0, 3, 0, 4, 3, 2, 1, 0, 2, 2, 3, 1, 1, 4, 0, 1, 0, 1, 2, 1, 3, 1, 0, 3, 4, 0, 1, 3, 0, 2, 4, 3, 2, 4, 0, 0, 2, 0, 4, 4, 3, 4, 4, 0, 0, 4, 1, 4, 2, 2, 2, 4, 0, 2, 3, 3, 0, 0, 3, 1, 0, 3, 0, 4, 0, 1, 2, 4, 0, 2, 2, 2, 1, 1, 0, 4, 1, 0, 3, 0, 2, 2, 3, 0, 2, 0, 3, 2, 3, 3, 3, 0, 0, 4, 2, 3, 2, 2, 0, 3, 4, 1, 0, 2, 3, 0, 4, 1, 2, 4, 0, 1, 1, 1, 4, 1, 1, 0, 2, 3, 2, 4, 3, 1, 1, 3, 2, 2, 1, 0, 4, 2, 2, 4, 4, 3, 0]
pubkeycol1781 = [1, 4, 3, 0, 4, 2, 4, 2, 2, 4, 2, 0, 4, 2, 4, 2, 3, 1, 4, 0, 4, 3, 1, 3, 0, 3, 2, 2, 0, 2, 2, 2, 1, 0, 4, 0, 2, 1, 0, 0, 0, 0, 4, 1, 0, 4, 4, 1, 3, 4, 4, 1, 0, 3, 1, 0, 2, 0, 4, 3, 3, 2, 3, 2, 4, 0, 2, 1, 2, 0, 3, 0, 3, 1, 1, 2, 1, 2, 3, 3, 4, 3, 3, 1, 4, 3, 2, 0, 4, 1, 3, 3, 2, 1, 1, 4, 0, 3, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 4, 1, 0, 0, 0, 2, 0, 3, 1, 4, 1, 3, 3, 4, 4, 2, 3, 1, 1, 2, 0, 4, 2, 0, 3, 4, 4, 3, 0, 2, 2, 0, 2, 1, 4, 1, 3, 1, 2, 3, 4, 1, 3, 3, 4, 3, 0, 0, 1, 1, 4, 1, 1, 1, 0, 4, 2, 1, 4, 2, 4, 3, 3, 2, 3, 3, 0, 3, 2, 3, 3, 3, 1, 2, 1, 3, 0, 1, 1, 2, 0, 0, 1, 2, 3, 0, 3, 2, 2, 4, 1, 0, 2, 1, 4, 1, 1, 0, 4, 3, 0, 1, 3, 0, 4, 2, 3, 4, 0, 4, 4, 3, 0, 1, 2, 3, 3, 2, 1, 1, 4, 2, 4, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 4, 0, 4, 3, 1, 0, 0, 3, 2, 1, 4, 0, 1, 4, 2, 4, 0, 2, 3, 3, 3, 4, 0, 3, 0, 2, 1, 3, 1, 1, 2, 2, 3, 1, 4, 1, 3, 1, 0, 0, 0, 0, 4, 0, 1, 3, 1, 4, 0, 1, 2, 4, 0, 1, 3, 4, 3, 2, 1, 4, 1, 1, 3, 2, 1, 4, 2, 2, 0, 3, 1, 2, 2, 3, 2, 3, 0, 4, 3, 3, 3, 3, 3, 0, 3, 4, 3, 0, 3, 2, 0, 2, 1, 1, 2, 3, 4, 1, 4, 4, 0, 3, 4, 1, 3, 4, 2, 2, 4, 1, 2, 4, 4, 0, 4, 0, 3, 0, 2, 3, 0, 1, 4, 2, 4, 2, 0, 1, 2, 1, 4, 0, 1, 0, 0, 1, 2, 4, 2, 2, 1, 0, 2, 4, 3, 3, 4, 1, 2, 4, 4, 4, 2, 3, 3, 2, 0, 2, 2, 2, 0, 2, 3, 3, 2, 4, 0, 3, 0, 2, 4, 0, 0, 3, 3, 1, 3, 2, 3, 1, 3, 2, 2, 4, 3, 4, 2, 2, 1, 3, 4, 0, 0, 2, 0, 3, 0, 3, 3, 4, 2, 1, 4, 2, 4, 1, 2, 4, 4, 2, 0, 4, 0, 0, 0, 4, 0, 2, 0, 3, 1, 2, 1, 3, 0, 2, 0, 2, 3, 4, 4, 0, 3, 1, 3, 3, 1, 2, 1, 2, 2, 0, 0, 4, 3, 2, 3, 4, 3, 0, 4, 2, 1, 1, 4, 1, 3, 0, 1, 4, 0]
pubkeycol1782 = [2, 4, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 1, 3, 3, 4, 2, 2, 0, 4, 1, 3, 3, 0, 2, 2, 2, 1, 3, 4, 4, 2, 4, 0, 1, 3, 4, 0, 3, 0, 2, 1, 4, 1, 1, 0, 0, 1, 4, 3, 1, 0, 1, 2, 1, 1, 3, 0, 2, 1, 4, 4, 2, 0, 1, 2, 1, 1, 3, 0, 1, 4, 2, 4, 2, 0, 1, 1, 3, 1, 4, 4, 4, 2, 0, 0, 0, 0, 3, 2, 1, 4, 3, 2, 4, 1, 4, 4, 3, 0, 1, 3, 2, 3, 3, 4, 2, 2, 1, 3, 4, 3, 1, 4, 3, 0, 2, 3, 2, 0, 3, 4, 0, 3, 4, 2, 0, 3, 1, 3, 4, 2, 3, 1, 1, 2, 4, 1, 0, 0, 0, 2, 1, 1, 2, 3, 0, 4, 2, 1, 1, 2, 4, 4, 1, 3, 1, 3, 3, 3, 1, 4, 4, 2, 3, 3, 3, 1, 4, 4, 0, 2, 2, 3, 0, 3, 4, 4, 3, 4, 0, 0, 2, 4, 1, 3, 0, 0, 1, 3, 2, 0, 3, 1, 2, 2, 2, 1, 4, 1, 3, 1, 3, 2, 2, 0, 3, 4, 1, 4, 2, 2, 2, 3, 4, 2, 2, 4, 0, 1, 4, 4, 3, 2, 0, 0, 2, 3, 0, 2, 3, 2, 0, 0, 1, 3, 1, 4, 3, 1, 1, 0, 4, 4, 0, 1, 1, 0, 3, 3, 3, 0, 2, 3, 2, 0, 3, 1, 3, 3, 3, 0, 0, 1, 1, 3, 2, 0, 0, 2, 1, 3, 4, 1, 1, 4, 1, 1, 1, 0, 2, 0, 2, 3, 0, 4, 1, 1, 2, 2, 2, 1, 4, 2, 1, 0, 3, 2, 4, 2, 3, 4, 0, 1, 4, 3, 0, 2, 0, 2, 0, 0, 1, 0, 0, 4, 2, 0, 3, 0, 1, 4, 2, 0, 3, 4, 3, 4, 2, 4, 1, 2, 3, 0, 3, 3, 3, 0, 2, 2, 4, 0, 1, 4, 1, 0, 0, 4, 4, 1, 1, 3, 1, 0, 1, 4, 2, 1, 2, 3, 3, 0, 0, 2, 4, 3, 0, 0, 2, 2, 4, 2, 1, 4, 3, 1, 2, 4, 2, 2, 2, 2, 3, 3, 1, 3, 4, 0, 0, 1, 0, 3, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 3, 3, 2, 4, 1, 2, 2, 0, 2, 0, 3, 3, 1, 1, 3, 4, 2, 0, 0, 1, 3, 4, 4, 2, 0, 2, 3, 4, 4, 4, 0, 0, 1, 4, 3, 1, 0, 0, 4, 4, 1, 0, 3, 2, 2, 1, 3, 3, 4, 2, 1, 1, 0, 1, 2, 0, 2, 0, 4, 2, 2, 3, 0, 0, 4, 0, 1, 1, 0, 1, 0, 1, 4, 0, 1, 2, 4, 0, 0, 4, 4, 1, 2, 1, 0, 1, 3, 4, 0, 3, 3, 2, 2, 0, 1, 2, 2, 3, 1]
pubkeycol1783 = [0, 0, 4, 0, 3, 3, 2, 2, 2, 2, 4, 0, 3, 2, 3, 2, 0, 2, 1, 3, 4, 3, 2, 3, 1, 2, 3, 2, 0, 1, 4, 1, 1, 0, 1, 3, 4, 4, 2, 2, 1, 3, 0, 4, 2, 0, 4, 3, 1, 2, 2, 2, 3, 2, 1, 3, 1, 4, 3, 1, 0, 4, 0, 3, 3, 2, 3, 2, 1, 4, 1, 2, 2, 0, 4, 4, 1, 0, 2, 2, 0, 3, 4, 4, 2, 1, 4, 4, 1, 4, 4, 3, 2, 4, 0, 1, 4, 0, 2, 3, 2, 1, 3, 0, 3, 3, 1, 0, 2, 4, 3, 0, 1, 0, 2, 0, 1, 3, 3, 3, 0, 4, 1, 1, 3, 0, 4, 3, 1, 0, 0, 2, 4, 0, 1, 1, 1, 1, 3, 0, 0, 0, 4, 0, 0, 4, 3, 2, 4, 0, 0, 0, 0, 2, 1, 4, 1, 1, 0, 3, 4, 4, 4, 1, 0, 4, 2, 1, 1, 2, 4, 1, 1, 0, 2, 3, 4, 4, 0, 0, 0, 1, 4, 1, 4, 4, 0, 1, 4, 4, 3, 3, 0, 3, 0, 1, 0, 0, 3, 0, 2, 4, 0, 3, 0, 2, 0, 4, 0, 3, 0, 4, 1, 4, 4, 4, 1, 1, 2, 3, 2, 2, 3, 3, 3, 3, 4, 1, 1, 1, 0, 3, 4, 1, 3, 4, 2, 3, 0, 3, 2, 4, 1, 0, 3, 2, 0, 1, 1, 4, 2, 0, 0, 4, 1, 4, 2, 0, 2, 0, 0, 4, 1, 2, 0, 4, 1, 0, 0, 2, 3, 1, 1, 1, 0, 4, 1, 0, 0, 1, 2, 2, 0, 4, 0, 3, 3, 3, 4, 3, 0, 1, 1, 0, 1, 3, 4, 4, 3, 2, 0, 3, 2, 4, 4, 4, 3, 3, 4, 2, 0, 3, 1, 0, 1, 1, 4, 3, 2, 4, 2, 2, 4, 3, 2, 2, 4, 1, 3, 0, 1, 3, 3, 3, 2, 2, 0, 3, 3, 0, 3, 4, 4, 2, 3, 0, 4, 1, 4, 3, 3, 2, 2, 4, 2, 2, 2, 1, 2, 4, 4, 3, 4, 0, 1, 1, 2, 1, 1, 1, 4, 3, 0, 1, 2, 0, 3, 3, 1, 0, 0, 4, 1, 3, 4, 1, 4, 4, 2, 3, 2, 4, 2, 0, 3, 1, 4, 4, 4, 1, 3, 2, 1, 1, 2, 0, 0, 1, 2, 3, 0, 4, 3, 1, 4, 1, 2, 1, 1, 3, 4, 0, 3, 1, 3, 3, 2, 3, 0, 3, 0, 2, 4, 2, 2, 0, 3, 3, 0, 0, 3, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 4, 1, 3, 4, 2, 0, 0, 4, 4, 2, 4, 3, 1, 0, 1, 1, 4, 2, 3, 2, 0, 3, 3, 2, 0, 3, 0, 1, 3, 0, 0, 2, 0, 3, 3, 3, 1, 2, 3, 1, 4, 1, 0, 4, 4, 3, 1, 1, 0, 3, 4, 3, 2]
pubkeycol1784 = [0, 1, 2, 2, 4, 0, 1, 3, 2, 2, 1, 4, 4, 2, 1, 2, 2, 0, 3, 2, 1, 4, 4, 3, 1, 3, 1, 2, 1, 1, 0, 2, 4, 1, 2, 2, 0, 4, 2, 1, 2, 1, 4, 2, 1, 0, 4, 4, 0, 1, 0, 1, 0, 3, 0, 0, 4, 3, 1, 2, 1, 2, 3, 2, 2, 0, 4, 0, 1, 4, 3, 2, 2, 1, 4, 3, 0, 2, 4, 2, 0, 3, 0, 1, 0, 3, 1, 2, 3, 2, 4, 3, 1, 2, 2, 4, 1, 3, 2, 4, 3, 0, 1, 0, 1, 2, 3, 4, 0, 3, 1, 0, 2, 4, 0, 1, 3, 2, 2, 0, 4, 3, 3, 0, 0, 3, 1, 0, 4, 1, 2, 1, 2, 3, 3, 1, 0, 4, 3, 4, 0, 1, 3, 4, 0, 2, 2, 3, 4, 1, 2, 1, 2, 4, 1, 3, 3, 0, 4, 0, 4, 0, 2, 4, 2, 4, 0, 0, 0, 4, 0, 0, 2, 0, 4, 0, 4, 0, 2, 0, 4, 4, 1, 1, 3, 0, 3, 4, 2, 0, 1, 0, 2, 0, 3, 0, 4, 1, 3, 1, 4, 2, 0, 0, 1, 4, 2, 1, 1, 4, 2, 1, 4, 0, 0, 1, 2, 4, 2, 1, 1, 1, 2, 3, 0, 0, 3, 3, 1, 4, 4, 0, 4, 4, 4, 4, 4, 1, 2, 2, 4, 1, 4, 0, 4, 3, 4, 0, 1, 1, 4, 3, 0, 0, 4, 0, 2, 4, 1, 1, 0, 1, 1, 4, 2, 0, 1, 2, 3, 0, 4, 4, 2, 3, 2, 0, 1, 4, 2, 1, 2, 2, 1, 1, 0, 4, 4, 4, 3, 1, 0, 3, 1, 4, 2, 3, 4, 3, 3, 4, 4, 2, 0, 3, 2, 2, 0, 4, 2, 0, 3, 1, 0, 3, 3, 1, 1, 0, 2, 4, 2, 1, 4, 2, 0, 4, 3, 3, 0, 2, 2, 1, 4, 1, 1, 1, 0, 4, 3, 2, 3, 1, 2, 3, 1, 2, 4, 3, 3, 1, 3, 4, 0, 4, 4, 4, 0, 4, 3, 0, 2, 2, 1, 1, 3, 0, 4, 0, 1, 3, 1, 3, 0, 4, 1, 1, 1, 1, 2, 1, 3, 4, 1, 4, 4, 4, 1, 0, 2, 2, 0, 4, 1, 2, 1, 0, 4, 1, 4, 4, 3, 0, 3, 1, 0, 1, 3, 4, 1, 0, 4, 3, 4, 3, 1, 0, 1, 1, 2, 0, 1, 3, 0, 2, 2, 3, 1, 1, 1, 2, 0, 4, 4, 4, 3, 2, 3, 3, 1, 1, 3, 2, 1, 0, 2, 1, 1, 0, 4, 0, 1, 3, 4, 0, 3, 1, 2, 3, 4, 4, 1, 4, 0, 4, 1, 3, 4, 0, 4, 3, 0, 3, 4, 1, 3, 0, 2, 1, 4, 2, 1, 3, 2, 2, 2, 0, 1, 4, 3, 3, 0, 2, 4, 2, 1, 3, 2, 0, 2, 1, 3, 4, 4, 1, 1]
pubkeycol1785 = [2, 3, 0, 1, 4, 3, 3, 0, 4, 4, 0, 3, 1, 4, 1, 2, 4, 4, 0, 4, 0, 3, 4, 4, 3, 3, 1, 0, 2, 3, 4, 2, 4, 1, 3, 4, 1, 4, 4, 4, 0, 3, 3, 4, 0, 1, 4, 1, 3, 1, 2, 2, 2, 4, 3, 3, 3, 0, 3, 4, 1, 3, 0, 1, 1, 3, 3, 0, 1, 0, 3, 4, 0, 1, 1, 4, 1, 4, 0, 1, 0, 1, 0, 0, 0, 3, 3, 2, 2, 1, 4, 2, 4, 0, 0, 2, 4, 3, 3, 1, 0, 3, 4, 1, 0, 4, 0, 1, 2, 2, 2, 1, 3, 0, 2, 1, 3, 0, 4, 0, 0, 3, 2, 3, 0, 2, 0, 0, 2, 3, 1, 0, 4, 4, 3, 0, 3, 4, 1, 2, 0, 0, 4, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 3, 0, 3, 2, 2, 4, 2, 0, 2, 4, 4, 4, 2, 1, 3, 0, 0, 0, 1, 0, 1, 1, 0, 3, 1, 0, 4, 0, 3, 2, 4, 2, 0, 4, 1, 3, 3, 3, 3, 2, 0, 2, 1, 0, 1, 0, 1, 3, 1, 3, 2, 3, 3, 2, 2, 3, 3, 4, 2, 0, 4, 3, 3, 3, 2, 2, 4, 3, 0, 4, 1, 0, 0, 3, 2, 3, 1, 3, 2, 4, 4, 3, 4, 1, 4, 4, 1, 4, 3, 2, 3, 1, 4, 1, 0, 4, 0, 3, 0, 0, 0, 2, 3, 2, 4, 3, 3, 4, 1, 3, 2, 0, 3, 1, 0, 1, 0, 0, 2, 4, 4, 0, 4, 3, 1, 3, 1, 1, 3, 3, 2, 2, 2, 3, 1, 4, 3, 0, 2, 4, 4, 4, 4, 2, 2, 3, 1, 4, 3, 1, 0, 4, 2, 4, 4, 4, 2, 1, 2, 4, 0, 2, 4, 2, 2, 2, 1, 3, 3, 1, 0, 1, 2, 0, 4, 0, 1, 1, 2, 4, 3, 0, 0, 3, 3, 2, 0, 4, 1, 1, 1, 3, 4, 2, 4, 3, 4, 0, 2, 4, 1, 3, 2, 1, 1, 3, 0, 3, 0, 1, 2, 0, 2, 0, 3, 1, 1, 3, 1, 1, 4, 3, 2, 1, 3, 4, 0, 4, 0, 0, 0, 1, 2, 2, 4, 4, 3, 1, 3, 2, 0, 0, 3, 4, 3, 2, 3, 0, 3, 0, 1, 2, 3, 2, 1, 4, 4, 4, 0, 2, 2, 2, 1, 3, 2, 3, 0, 1, 1, 2, 2, 3, 3, 3, 0, 1, 3, 4, 4, 2, 0, 2, 4, 0, 4, 0, 1, 4, 1, 3, 3, 0, 2, 4, 3, 2, 2, 4, 4, 0, 1, 2, 3, 0, 0, 4, 1, 2, 3, 1, 2, 4, 4, 3, 0, 0, 1, 2, 2, 1, 0, 4, 0, 2, 2, 2, 1, 2, 0, 3, 4, 2, 2, 2, 2, 3, 1, 0, 0, 4, 1, 4, 4, 2, 4, 0, 4, 0, 4, 3, 1, 0]