kilobytes = 142.368018375324 q = 3 m = 7 n = 1964 s = 0 t = 36 u = 72 k = 1460 w = 54 ciphertext = [2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0] recovered_plaintext_using_secret_key = True pubkeycol504 = [1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol505 = [0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2] pubkeycol506 = [0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol507 = [1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol508 = [2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1] pubkeycol509 = [0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2] pubkeycol510 = [1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1] pubkeycol511 = [1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol512 = [0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol513 = [2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0] pubkeycol514 = [2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol515 = [0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol516 = [2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1] pubkeycol517 = [2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol518 = [1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol519 = [0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol520 = [1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol521 = [0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol522 = [1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol523 = [2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol524 = [0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol525 = [2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol526 = [2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol527 = [2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol528 = [1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1] pubkeycol529 = [2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1] pubkeycol530 = [0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol531 = [1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol532 = [2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol533 = [0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol534 = [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol535 = [2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1] pubkeycol536 = [1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol537 = [2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol538 = [1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol539 = [0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol540 = [1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0] pubkeycol541 = [1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1] pubkeycol542 = [2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol543 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol544 = [0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1] pubkeycol545 = [1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol546 = [2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol547 = [1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1] pubkeycol548 = [2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol549 = [2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2] pubkeycol550 = [2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol551 = [1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol552 = [2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol553 = [1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol554 = [0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0] pubkeycol555 = [0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol556 = [2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol557 = [2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0] pubkeycol558 = [2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol559 = [2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2] pubkeycol560 = [0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1] pubkeycol561 = [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol562 = [0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2] pubkeycol563 = [1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol564 = [1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol565 = [2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2] pubkeycol566 = [1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol567 = [2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1] pubkeycol568 = [0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1] pubkeycol569 = [2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1] pubkeycol570 = [1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol571 = [0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol572 = [2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol573 = [1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol574 = [1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol575 = [1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol576 = [1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol577 = [1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol578 = [0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol579 = [0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol580 = [1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1] pubkeycol581 = [1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol582 = [0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1] pubkeycol583 = [0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol584 = [0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol585 = [1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol586 = [2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol587 = [1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol588 = [2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol589 = [2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0] pubkeycol590 = [1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol591 = [0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol592 = [0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol593 = [1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol594 = [0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1] pubkeycol595 = [1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol596 = [1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol597 = [1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol598 = [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol599 = [0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0] pubkeycol600 = [1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2] pubkeycol601 = [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol602 = [2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0] pubkeycol603 = [2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol604 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol605 = [2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0] pubkeycol606 = [0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol607 = [0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1] pubkeycol608 = [0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol609 = [0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol610 = [0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol611 = [2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol612 = [2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol613 = [2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol614 = [0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol615 = [0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol616 = [0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol617 = [1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol618 = [1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0] pubkeycol619 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol620 = [0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol621 = [1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol622 = [0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol623 = [0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0] pubkeycol624 = [0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol625 = [1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol626 = [2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol627 = [0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol628 = [1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol629 = [0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol630 = [2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol631 = [0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1] pubkeycol632 = [2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1] pubkeycol633 = [1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol634 = [0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol635 = [2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol636 = [0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol637 = [0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol638 = [1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1] pubkeycol639 = [2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2] pubkeycol640 = [0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol641 = [0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol642 = [2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol643 = [0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol644 = [2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2] pubkeycol645 = [1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol646 = [1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol647 = [0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2] pubkeycol648 = [1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol649 = [2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol650 = [0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol651 = [2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol652 = [1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol653 = [0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1] pubkeycol654 = [2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1] pubkeycol655 = [0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2] pubkeycol656 = [1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2] pubkeycol657 = [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol658 = [1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol659 = [2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol660 = [0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol661 = [2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol662 = [1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol663 = [2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol664 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1] pubkeycol665 = [1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol666 = [2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol667 = [1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol668 = [2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol669 = [2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol670 = [2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0] pubkeycol671 = [1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol672 = [2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2] pubkeycol673 = [2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2] pubkeycol674 = [0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2] pubkeycol675 = [2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol676 = [2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1] pubkeycol677 = [2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2] pubkeycol678 = [1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol679 = [0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol680 = [0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol681 = [1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol682 = [1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2] pubkeycol683 = [1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0] pubkeycol684 = [2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0] pubkeycol685 = [0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol686 = [0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol687 = [1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0] pubkeycol688 = [2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol689 = [1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol690 = [1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol691 = [2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol692 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0] pubkeycol693 = [2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol694 = [2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol695 = [1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol696 = [0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol697 = [1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol698 = [1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol699 = [1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1] pubkeycol700 = [1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol701 = [2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol702 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0] pubkeycol703 = [2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol704 = [2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol705 = [0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol706 = [0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol707 = [1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol708 = [2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol709 = [2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0] pubkeycol710 = [1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol711 = [1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2] pubkeycol712 = [0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol713 = [1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol714 = [1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol715 = [2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol716 = [2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol717 = [2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol718 = [1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1] pubkeycol719 = [1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol720 = [0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol721 = [0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol722 = [2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2] pubkeycol723 = [1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol724 = [1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0] pubkeycol725 = [0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1] pubkeycol726 = [0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0] pubkeycol727 = [2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol728 = [0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol729 = [1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol730 = [1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol731 = [1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol732 = [2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol733 = [2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol734 = [0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol735 = [0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol736 = [2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0] pubkeycol737 = [0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol738 = [0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2] pubkeycol739 = [2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol740 = [0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol741 = [0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol742 = [2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2] pubkeycol743 = [2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol744 = [0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol745 = [1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol746 = [0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0] pubkeycol747 = [0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0] pubkeycol748 = [0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0] pubkeycol749 = [2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1] pubkeycol750 = [2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol751 = [1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2] pubkeycol752 = [1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol753 = [2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol754 = [2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2] pubkeycol755 = [1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol756 = [2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol757 = [1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol758 = [1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol759 = [0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol760 = [2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol761 = [0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0] pubkeycol762 = [2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol763 = [0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol764 = [1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol765 = [2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol766 = [1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol767 = [2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol768 = [1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol769 = [2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol770 = [2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1] pubkeycol771 = [0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol772 = [2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol773 = [1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0] pubkeycol774 = [0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol775 = [2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol776 = [1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol777 = [1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0] pubkeycol778 = [1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol779 = [1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2] pubkeycol780 = [0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol781 = [0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1] pubkeycol782 = [2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol783 = [0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0] pubkeycol784 = [2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol785 = [2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1] pubkeycol786 = [2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol787 = [1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol788 = [2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol789 = [2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol790 = [0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2] pubkeycol791 = [2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol792 = [1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol793 = [2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0] pubkeycol794 = [2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0] pubkeycol795 = [2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol796 = [2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol797 = [1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol798 = [1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol799 = [2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol800 = [0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0] pubkeycol801 = [0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol802 = [1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol803 = [1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol804 = [0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol805 = [2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2] pubkeycol806 = [1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol807 = [2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol808 = [0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0] pubkeycol809 = [0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol810 = [1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol811 = [2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol812 = [0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0] pubkeycol813 = [2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol814 = [1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol815 = [0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol816 = [2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol817 = [1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol818 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol819 = [1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol820 = [2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol821 = [2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2] pubkeycol822 = [0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol823 = [2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol824 = [1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1] pubkeycol825 = [0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol826 = [2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1] pubkeycol827 = [1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol828 = [2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1] pubkeycol829 = [0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol830 = [1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol831 = [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0] pubkeycol832 = [1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol833 = [1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1] pubkeycol834 = [0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol835 = [0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2] pubkeycol836 = [2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0] pubkeycol837 = [2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2] pubkeycol838 = [2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2] pubkeycol839 = [1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1] pubkeycol840 = [2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol841 = [0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol842 = [1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol843 = [1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0] pubkeycol844 = [1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2] pubkeycol845 = [2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1] pubkeycol846 = [2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol847 = [0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol848 = [1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol849 = [1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol850 = [0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0] pubkeycol851 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0] pubkeycol852 = [2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol853 = [1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol854 = [1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2] pubkeycol855 = [1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol856 = [0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol857 = [1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol858 = [2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol859 = [2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol860 = [0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol861 = [1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2] pubkeycol862 = [0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1] pubkeycol863 = [1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol864 = [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol865 = [2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol866 = [1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol867 = [2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0] pubkeycol868 = [0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol869 = [0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol870 = [0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol871 = [2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol872 = [0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0] pubkeycol873 = [1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol874 = [0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol875 = [1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol876 = [1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1] pubkeycol877 = [2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol878 = [1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol879 = [1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol880 = [0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol881 = [0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0] pubkeycol882 = [0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol883 = [0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2] pubkeycol884 = [0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1] pubkeycol885 = [2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2] pubkeycol886 = [0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol887 = [0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol888 = [1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1] pubkeycol889 = [1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol890 = [1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol891 = [2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol892 = [2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol893 = [0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol894 = [2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol895 = [1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol896 = [0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol897 = [2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1] pubkeycol898 = [2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol899 = [2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0] pubkeycol900 = [2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol901 = [2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol902 = [0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1] pubkeycol903 = [2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol904 = [1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol905 = [1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0] pubkeycol906 = [1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0] pubkeycol907 = [2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2] pubkeycol908 = [1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2] pubkeycol909 = [1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0] pubkeycol910 = [1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2] pubkeycol911 = [1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0] pubkeycol912 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1] pubkeycol913 = [1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol914 = [1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol915 = [1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0] pubkeycol916 = [1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol917 = [1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0] pubkeycol918 = [1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol919 = [1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol920 = [1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1] pubkeycol921 = [0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol922 = [1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2] pubkeycol923 = [0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol924 = [0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol925 = [1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol926 = [2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2] pubkeycol927 = [1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2] pubkeycol928 = [1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol929 = [1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol930 = [1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol931 = [1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol932 = [2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol933 = [1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol934 = [2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol935 = [1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1] pubkeycol936 = [1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol937 = [0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol938 = [1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol939 = [0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0] pubkeycol940 = [1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol941 = [1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol942 = [0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol943 = [0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0] pubkeycol944 = [1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol945 = [1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2] pubkeycol946 = [1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1] pubkeycol947 = [2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2] pubkeycol948 = [2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2] pubkeycol949 = [1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol950 = [2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol951 = [2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol952 = [2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol953 = [1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2] pubkeycol954 = [1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol955 = [1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol956 = [0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol957 = [2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1] pubkeycol958 = [2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol959 = [2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol960 = [1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2] pubkeycol961 = [1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol962 = [1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol963 = [0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2] pubkeycol964 = [1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol965 = [2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0] pubkeycol966 = [1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol967 = [0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol968 = [1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol969 = [0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol970 = [1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol971 = [0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0] pubkeycol972 = [1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1] pubkeycol973 = [2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol974 = [1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol975 = [2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol976 = [0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1] pubkeycol977 = [1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2] pubkeycol978 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol979 = [0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol980 = [1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1] pubkeycol981 = [1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol982 = [0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol983 = [1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol984 = [1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol985 = [2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol986 = [1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2] pubkeycol987 = [0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol988 = [0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol989 = [0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2] pubkeycol990 = [0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol991 = [2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol992 = [0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol993 = [0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol994 = [2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1] pubkeycol995 = [2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol996 = [0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol997 = [2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0] pubkeycol998 = [0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0] pubkeycol999 = [1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol1000 = [0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol1001 = [1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol1002 = [2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2] pubkeycol1003 = [2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1] pubkeycol1004 = [0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2] pubkeycol1005 = [2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1] pubkeycol1006 = [2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol1007 = [2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol1008 = [2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol1009 = [0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol1010 = [2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol1011 = [0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2] pubkeycol1012 = [0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1] pubkeycol1013 = [0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1] pubkeycol1014 = [1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol1015 = [2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol1016 = [2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol1017 = [0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol1018 = [1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol1019 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol1020 = [1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol1021 = [0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol1022 = [1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol1023 = [0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol1024 = [2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol1025 = [2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1] pubkeycol1026 = [1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol1027 = [1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0] pubkeycol1028 = [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol1029 = [0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2] pubkeycol1030 = [2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol1031 = [0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0] pubkeycol1032 = [0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol1033 = [2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol1034 = [2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol1035 = [1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol1036 = [2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol1037 = [1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol1038 = [0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol1039 = [1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1] pubkeycol1040 = [1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2] pubkeycol1041 = [0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol1042 = [2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol1043 = [0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol1044 = [0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol1045 = [1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol1046 = [0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol1047 = [1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0] pubkeycol1048 = [1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol1049 = [1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol1050 = [1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol1051 = [1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1] pubkeycol1052 = [0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol1053 = [1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0] pubkeycol1054 = [2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol1055 = [1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0] pubkeycol1056 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0] pubkeycol1057 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1] pubkeycol1058 = [2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol1059 = [2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol1060 = [0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0] pubkeycol1061 = [0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1] pubkeycol1062 = [1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1] pubkeycol1063 = [1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol1064 = [1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol1065 = [0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol1066 = [1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol1067 = [0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol1068 = [1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2] pubkeycol1069 = [0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol1070 = [2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2] pubkeycol1071 = [0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol1072 = [1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol1073 = [2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol1074 = [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol1075 = [0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol1076 = [1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol1077 = [2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol1078 = [2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol1079 = [0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol1080 = [2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol1081 = [2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol1082 = [1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol1083 = [1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol1084 = [1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol1085 = [0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1] pubkeycol1086 = [1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0] pubkeycol1087 = [1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol1088 = [2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol1089 = [1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2] pubkeycol1090 = [1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0] pubkeycol1091 = [1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol1092 = [0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol1093 = [0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1] pubkeycol1094 = [2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0] pubkeycol1095 = [2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2] pubkeycol1096 = [0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1] pubkeycol1097 = [0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol1098 = [1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1] pubkeycol1099 = [1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1] pubkeycol1100 = [1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol1101 = [2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol1102 = [1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol1103 = [1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol1104 = [1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0] pubkeycol1105 = [2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol1106 = [2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol1107 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol1108 = [0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol1109 = [2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol1110 = [2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol1111 = [0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol1112 = [2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0] pubkeycol1113 = [0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol1114 = [0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol1115 = [0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol1116 = [0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol1117 = [1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0] pubkeycol1118 = [0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2] pubkeycol1119 = [1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol1120 = [2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2] pubkeycol1121 = [0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol1122 = [0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2] pubkeycol1123 = [1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol1124 = [0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol1125 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol1126 = [0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1] pubkeycol1127 = [1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1] pubkeycol1128 = [2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol1129 = [1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol1130 = [0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol1131 = [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1] pubkeycol1132 = [1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol1133 = [0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1] pubkeycol1134 = [1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2] pubkeycol1135 = [0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1] pubkeycol1136 = [2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol1137 = [1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol1138 = [0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol1139 = [1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0] pubkeycol1140 = [2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1] pubkeycol1141 = [0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol1142 = [1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol1143 = [1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol1144 = [0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol1145 = [1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol1146 = [1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol1147 = [2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol1148 = [2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol1149 = [1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol1150 = [2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol1151 = [2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol1152 = [1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol1153 = [2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol1154 = [0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol1155 = [2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol1156 = [2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol1157 = [0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol1158 = [1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2] pubkeycol1159 = [0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol1160 = [1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol1161 = [0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0] pubkeycol1162 = [0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1] pubkeycol1163 = [0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol1164 = [0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol1165 = [2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol1166 = [1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol1167 = [0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0] pubkeycol1168 = [0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol1169 = [0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol1170 = [1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2] pubkeycol1171 = [0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol1172 = [0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol1173 = [2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0] pubkeycol1174 = [0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2] pubkeycol1175 = [2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol1176 = [1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol1177 = [0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol1178 = [0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol1179 = [0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2] pubkeycol1180 = [2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol1181 = [2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] pubkeycol1182 = [2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol1183 = [0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol1184 = [0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1] pubkeycol1185 = [2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0] pubkeycol1186 = [0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0] pubkeycol1187 = [2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1] pubkeycol1188 = [0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol1189 = [2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0