kilobytes = 151.100790278712 q = 3 m = 7 n = 2000 s = 0 t = 38 u = 76 k = 1468 w = 57 ciphertext = [2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol532 = [0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1] pubkeycol533 = [0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol534 = [1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol535 = [0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0] pubkeycol536 = [0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol537 = [2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol538 = [2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol539 = [1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol540 = [2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0] pubkeycol541 = [1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1] pubkeycol542 = [1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol543 = [1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0] pubkeycol544 = [0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol545 = [1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol546 = [1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol547 = [2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2] pubkeycol548 = [2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol549 = [1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol550 = [0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0] pubkeycol551 = [0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol552 = [1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol553 = [0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol554 = [0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol555 = [2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol556 = [2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1] pubkeycol557 = [0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol558 = [0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol559 = [1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol560 = [1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol561 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol562 = [2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol563 = [0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol564 = [2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol565 = [1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol566 = [2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0] pubkeycol567 = [2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol568 = [2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol569 = [2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1] pubkeycol570 = [0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol571 = [1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2] pubkeycol572 = [2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0] pubkeycol573 = [1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0] pubkeycol574 = [1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol575 = [2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1] pubkeycol576 = [0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol577 = [2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol578 = [2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol579 = [2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol580 = [0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol581 = [2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol582 = [0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0] pubkeycol583 = [0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1] pubkeycol584 = [2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0] pubkeycol585 = [0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol586 = [1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol587 = [2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2] pubkeycol588 = [0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol589 = [0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol590 = [2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol591 = [1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol592 = [2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol593 = [1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1] pubkeycol594 = [0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2] pubkeycol595 = [0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1] pubkeycol596 = [2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1] pubkeycol597 = [2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0] pubkeycol598 = [1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol599 = [2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol600 = [1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol601 = [2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol602 = [2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol603 = [1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol604 = [2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol605 = [1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol606 = [1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol607 = [0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0] pubkeycol608 = [0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol609 = [0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol610 = [2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol611 = [0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2] pubkeycol612 = [0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol613 = [1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2] pubkeycol614 = [2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol615 = [0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol616 = [0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol617 = [1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol618 = [0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol619 = [2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol620 = [0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol621 = [0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0] pubkeycol622 = [2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1] pubkeycol623 = [1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol624 = [1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol625 = [0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol626 = [0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0] pubkeycol627 = [2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol628 = [0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol629 = [0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol630 = [1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol631 = [0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0] pubkeycol632 = [1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2] pubkeycol633 = [0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0] pubkeycol634 = [1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2] pubkeycol635 = [1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2] pubkeycol636 = [1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol637 = [0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol638 = [0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol639 = [2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1] pubkeycol640 = [1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2] pubkeycol641 = [1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol642 = [1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol643 = [1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol644 = [2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol645 = [1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol646 = [1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1] pubkeycol647 = [1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0] pubkeycol648 = [1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol649 = [2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol650 = [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol651 = [1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol652 = [2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0] pubkeycol653 = [2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol654 = [1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol655 = [2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2] pubkeycol656 = [1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1] pubkeycol657 = [2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1] pubkeycol658 = [2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2] pubkeycol659 = [0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol660 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2] pubkeycol661 = [1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2] pubkeycol662 = [0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol663 = [0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol664 = [2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1] pubkeycol665 = [2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol666 = [1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol667 = [1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol668 = [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol669 = [2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol670 = [1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0] pubkeycol671 = [2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol672 = [0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol673 = [2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol674 = [2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1] pubkeycol675 = [0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol676 = [1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2] pubkeycol677 = [0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol678 = [1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2] pubkeycol679 = [2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1] pubkeycol680 = [0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol681 = [2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol682 = [2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2] pubkeycol683 = [2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol684 = [2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2] pubkeycol685 = [2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol686 = [2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol687 = [2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2] pubkeycol688 = [0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol689 = [1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol690 = [0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol691 = [1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol692 = [2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol693 = [0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol694 = [0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1] pubkeycol695 = [0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol696 = [0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0] pubkeycol697 = [2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol698 = [0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol699 = [2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol700 = [2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol701 = [0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0] pubkeycol702 = [2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2] pubkeycol703 = [2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol704 = [1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol705 = [1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2] pubkeycol706 = [1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol707 = [2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol708 = [2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol709 = [0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2] pubkeycol710 = [0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2] pubkeycol711 = [1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol712 = [1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol713 = [2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol714 = [0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol715 = [0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1] pubkeycol716 = [0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0] pubkeycol717 = [0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol718 = [1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol719 = [1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol720 = [0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol721 = [0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol722 = [2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2] pubkeycol723 = [1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0] pubkeycol724 = [0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol725 = [2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol726 = [1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol727 = [2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol728 = [0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol729 = [2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol730 = [2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol731 = [2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol732 = [0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol733 = [2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol734 = [2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1] pubkeycol735 = [0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol736 = [1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol737 = [0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol738 = [1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol739 = [1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1] pubkeycol740 = [0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol741 = [0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol742 = [2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol743 = [1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0] pubkeycol744 = [0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol745 = [0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol746 = [0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0] pubkeycol747 = [0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol748 = [1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol749 = [1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol750 = [0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0] pubkeycol751 = [1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol752 = [0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol753 = [0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2] pubkeycol754 = [2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol755 = [1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol756 = [2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1] pubkeycol757 = [2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol758 = [1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1] pubkeycol759 = [1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2] pubkeycol760 = [0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol761 = [0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol762 = [2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol763 = [1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol764 = [2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2] pubkeycol765 = [2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol766 = [0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol767 = [0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0] pubkeycol768 = [2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1] pubkeycol769 = [1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1] pubkeycol770 = [0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2] pubkeycol771 = [0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2] pubkeycol772 = [0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol773 = [0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol774 = [1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1] pubkeycol775 = [2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0] pubkeycol776 = [1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol777 = [2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1] pubkeycol778 = [1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol779 = [2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol780 = [1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol781 = [0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2] pubkeycol782 = [2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1] pubkeycol783 = [1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol784 = [0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2] pubkeycol785 = [1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2] pubkeycol786 = [1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol787 = [0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2] pubkeycol788 = [0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0] pubkeycol789 = [1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0] pubkeycol790 = [2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol791 = [1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2] pubkeycol792 = [0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol793 = [0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol794 = [0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol795 = [2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2] pubkeycol796 = [0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0] pubkeycol797 = [1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol798 = [1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol799 = [1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2] pubkeycol800 = [0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol801 = [1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2] pubkeycol802 = [1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol803 = [2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol804 = [0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol805 = [0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol806 = [1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol807 = [2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0] pubkeycol808 = [2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2] pubkeycol809 = [0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1] pubkeycol810 = [2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol811 = [1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol812 = [1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol813 = [0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol814 = [1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0] pubkeycol815 = [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol816 = [2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1] pubkeycol817 = [2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0] pubkeycol818 = [0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2] pubkeycol819 = [0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol820 = [2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol821 = [1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol822 = [0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0] pubkeycol823 = [1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol824 = [1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0] pubkeycol825 = [1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0] pubkeycol826 = [2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol827 = [1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol828 = [1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol829 = [1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol830 = [0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol831 = [1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2] pubkeycol832 = [2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2] pubkeycol833 = [0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol834 = [0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol835 = [0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0] pubkeycol836 = [2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2] pubkeycol837 = [2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol838 = [0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0] pubkeycol839 = [1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol840 = [0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0] pubkeycol841 = [0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol842 = [2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol843 = [1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1] pubkeycol844 = [1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol845 = [1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol846 = [1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2] pubkeycol847 = [0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol848 = [2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol849 = [0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol850 = [2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol851 = [0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol852 = [0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol853 = [1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol854 = [1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1] pubkeycol855 = [0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol856 = [0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol857 = [2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0] pubkeycol858 = [1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1] pubkeycol859 = [0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol860 = [2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol861 = [0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol862 = [0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol863 = [1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol864 = [1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol865 = [2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2] pubkeycol866 = [1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol867 = [0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol868 = [2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol869 = [1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol870 = [1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2] pubkeycol871 = [2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol872 = [0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0] pubkeycol873 = [2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1] pubkeycol874 = [1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2] pubkeycol875 = [2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol876 = [2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol877 = [2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol878 = [2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2] pubkeycol879 = [1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol880 = [1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol881 = [0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0] pubkeycol882 = [1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2] pubkeycol883 = [2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0] pubkeycol884 = [2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol885 = [1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1] pubkeycol886 = [1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol887 = [1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol888 = [1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol889 = [0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0] pubkeycol890 = [1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol891 = [2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol892 = [0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol893 = [2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1] pubkeycol894 = [0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol895 = [2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol896 = [0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2] pubkeycol897 = [2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol898 = [0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2] pubkeycol899 = [0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0] pubkeycol900 = [2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol901 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2] pubkeycol902 = [2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1] pubkeycol903 = [1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol904 = [1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0] pubkeycol905 = [1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol906 = [2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol907 = [2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol908 = [2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol909 = [0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol910 = [2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2] pubkeycol911 = [1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2] pubkeycol912 = [0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol913 = [0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol914 = [1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol915 = [2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol916 = [2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol917 = [1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol918 = [2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol919 = [1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1] pubkeycol920 = [0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1] pubkeycol921 = [1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2] pubkeycol922 = [1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol923 = [0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol924 = [0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol925 = [0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol926 = [1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0] pubkeycol927 = [0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol928 = [1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol929 = [0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0] pubkeycol930 = [1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol931 = [1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol932 = [2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol933 = [0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0] pubkeycol934 = [1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol935 = [1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol936 = [2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0] pubkeycol937 = [2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol938 = [0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0] pubkeycol939 = [1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0] pubkeycol940 = [1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol941 = [0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol942 = [1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol943 = [1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol944 = [0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol945 = [2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1] pubkeycol946 = [0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0] pubkeycol947 = [2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol948 = [0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol949 = [2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0] pubkeycol950 = [0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol951 = [0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol952 = [0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2] pubkeycol953 = [1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2] pubkeycol954 = [2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1] pubkeycol955 = [0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol956 = [1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol957 = [0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol958 = [1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol959 = [2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol960 = [0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol961 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol962 = [0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol963 = [2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol964 = [2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2] pubkeycol965 = [0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol966 = [1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0] pubkeycol967 = [1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol968 = [1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol969 = [0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol970 = [1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2] pubkeycol971 = [0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2] pubkeycol972 = [2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol973 = [0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1] pubkeycol974 = [0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol975 = [0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1] pubkeycol976 = [1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol977 = [1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol978 = [2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1] pubkeycol979 = [0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol980 = [2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol981 = [0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2] pubkeycol982 = [0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2] pubkeycol983 = [0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol984 = [0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol985 = [2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol986 = [0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1] pubkeycol987 = [2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol988 = [0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol989 = [1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol990 = [1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol991 = [1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol992 = [1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol993 = [2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol994 = [2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2] pubkeycol995 = [1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol996 = [2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1] pubkeycol997 = [1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0] pubkeycol998 = [1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol999 = [0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol1000 = [2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol1001 = [1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol1002 = [1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol1003 = [2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0] pubkeycol1004 = [0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol1005 = [0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol1006 = [0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol1007 = [2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol1008 = [1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2] pubkeycol1009 = [2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol1010 = [0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol1011 = [2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol1012 = [2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol1013 = [1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2] pubkeycol1014 = [0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol1015 = [2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol1016 = [0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol1017 = [1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2] pubkeycol1018 = [0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1] pubkeycol1019 = [0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol1020 = [1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1] pubkeycol1021 = [1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol1022 = [1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol1023 = [0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol1024 = [0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol1025 = [2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol1026 = [0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol1027 = [2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol1028 = [2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol1029 = [0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol1030 = [0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2] pubkeycol1031 = [1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol1032 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol1033 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol1034 = [2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol1035 = [1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol1036 = [2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol1037 = [1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol1038 = [1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol1039 = [2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol1040 = [0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0] pubkeycol1041 = [2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol1042 = [0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol1043 = [1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol1044 = [1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol1045 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0] pubkeycol1046 = [1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol1047 = [0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1] pubkeycol1048 = [1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol1049 = [2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol1050 = [1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1] pubkeycol1051 = [0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol1052 = [0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol1053 = [1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1] pubkeycol1054 = [0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol1055 = [1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol1056 = [0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2] pubkeycol1057 = [0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2] pubkeycol1058 = [0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0] pubkeycol1059 = [0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol1060 = [0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol1061 = [2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol1062 = [1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2] pubkeycol1063 = [2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0] pubkeycol1064 = [1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol1065 = [2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol1066 = [2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol1067 = [0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol1068 = [1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol1069 = [1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol1070 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol1071 = [1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol1072 = [1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2] pubkeycol1073 = [1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol1074 = [1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol1075 = [1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol1076 = [2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2] pubkeycol1077 = [0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol1078 = [2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol1079 = [2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol1080 = [1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol1081 = [2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol1082 = [1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2] pubkeycol1083 = [0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol1084 = [2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol1085 = [0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol1086 = [0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol1087 = [1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol1088 = [1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0] pubkeycol1089 = [0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol1090 = [0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2] pubkeycol1091 = [1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0] pubkeycol1092 = [0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2] pubkeycol1093 = [1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2] pubkeycol1094 = [2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol1095 = [1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol1096 = [2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0] pubkeycol1097 = [1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0] pubkeycol1098 = [2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0] pubkeycol1099 = [0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol1100 = [2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol1101 = [1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol1102 = [2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol1103 = [2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol1104 = [0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol1105 = [0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2] pubkeycol1106 = [2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1] pubkeycol1107 = [1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0] pubkeycol1108 = [0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1] pubkeycol1109 = [1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol1110 = [0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol1111 = [0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol1112 = [1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol1113 = [1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0] pubkeycol1114 = [0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol1115 = [2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol1116 = [0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol1117 = [1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol1118 = [1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2] pubkeycol1119 = [2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol1120 = [2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1] pubkeycol1121 = [2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol1122 = [0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol1123 = [2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2] pubkeycol1124 = [0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol1125 = [1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1126 = [1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol1127 = [0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol1128 = [0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0] pubkeycol1129 = [2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol1130 = [2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol1131 = [1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol1132 = [0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol1133 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol1134 = [2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol1135 = [1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol1136 = [0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2] pubkeycol1137 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol1138 = [2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0] pubkeycol1139 = [2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol1140 = [2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol1141 = [0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2] pubkeycol1142 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0] pubkeycol1143 = [2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol1144 = [2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0] pubkeycol1145 = [1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1] pubkeycol1146 = [2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol1147 = [2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0] pubkeycol1148 = [2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol1149 = [0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol1150 = [2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol1151 = [2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol1152 = [1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol1153 = [0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol1154 = [1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol1155 = [0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol1156 = [0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2] pubkeycol1157 = [2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1] pubkeycol1158 = [1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol1159 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol1160 = [1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0] pubkeycol1161 = [1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol1162 = [2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0] pubkeycol1163 = [0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol1164 = [0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol1165 = [1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol1166 = [2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol1167 = [2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol1168 = [0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol1169 = [0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol1170 = [2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol1171 = [2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2] pubkeycol1172 = [1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol1173 = [2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol1174 = [0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol1175 = [0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol1176 = [1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol1177 = [2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol1178 = [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1] pubkeycol1179 = [1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1180 = [2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol1181 = [2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1,