kilobytes = 134.957080432499 q = 3 m = 7 n = 1888 s = 0 t = 36 u = 72 k = 1384 w = 54 ciphertext = [1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol504 = [0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol505 = [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1] pubkeycol506 = [2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol507 = [0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol508 = [1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol509 = [0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol510 = [2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1] pubkeycol511 = [1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol512 = [0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol513 = [0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol514 = [0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol515 = [1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol516 = [0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2] pubkeycol517 = [2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol518 = [0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol519 = [1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2] pubkeycol520 = [2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol521 = [1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol522 = [1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol523 = [0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol524 = [1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol525 = [0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol526 = [1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2] pubkeycol527 = [1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2] pubkeycol528 = [0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol529 = [0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol530 = [1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol531 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1] pubkeycol532 = [1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol533 = [1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1] pubkeycol534 = [1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol535 = [1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol536 = [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0] pubkeycol537 = [1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol538 = [0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol539 = [2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol540 = [0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol541 = [1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol542 = [0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2] pubkeycol543 = [1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol544 = [2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol545 = [2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol546 = [2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1] pubkeycol547 = [1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol548 = [0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol549 = [2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol550 = [0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol551 = [0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol552 = [1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol553 = [1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol554 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1] pubkeycol555 = [2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol556 = [2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol557 = [0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol558 = [1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol559 = [2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol560 = [0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol561 = [1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol562 = [0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol563 = [1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2] pubkeycol564 = [1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol565 = [2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol566 = [1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol567 = [2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol568 = [1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0] pubkeycol569 = [1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1] pubkeycol570 = [1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol571 = [2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2] pubkeycol572 = [1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol573 = [1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol574 = [2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2] pubkeycol575 = [0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol576 = [1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1] pubkeycol577 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol578 = [0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol579 = [1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol580 = [0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0] pubkeycol581 = [0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol582 = [1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol583 = [0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol584 = [1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0] pubkeycol585 = [1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0] pubkeycol586 = [2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2] pubkeycol587 = [0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol588 = [0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol589 = [1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2] pubkeycol590 = [0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol591 = [2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2] pubkeycol592 = [0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol593 = [2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol594 = [2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol595 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol596 = [2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol597 = [0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol598 = [0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol599 = [1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol600 = [0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol601 = [0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0] pubkeycol602 = [0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0] pubkeycol603 = [0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol604 = [2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2] pubkeycol605 = [1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol606 = [1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0] pubkeycol607 = [0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol608 = [1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol609 = [2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol610 = [0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol611 = [0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1] pubkeycol612 = [2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol613 = [2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol614 = [2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol615 = [2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1] pubkeycol616 = [2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0] pubkeycol617 = [1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol618 = [0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol619 = [1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol620 = [0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol621 = [0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2] pubkeycol622 = [0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol623 = [0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1] pubkeycol624 = [0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol625 = [1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2] pubkeycol626 = [2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol627 = [2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol628 = [2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol629 = [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol630 = [0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol631 = [0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol632 = [0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1] pubkeycol633 = [2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol634 = [0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol635 = [2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol636 = [2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol637 = [2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol638 = [0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol639 = [0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol640 = [1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol641 = [1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1] pubkeycol642 = [1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol643 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2] pubkeycol644 = [2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol645 = [2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol646 = [2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol647 = [1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol648 = [2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol649 = [0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol650 = [1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1] pubkeycol651 = [1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol652 = [2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1] pubkeycol653 = [1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol654 = [2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol655 = [1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol656 = [2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol657 = [1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2] pubkeycol658 = [0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0] pubkeycol659 = [1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1] pubkeycol660 = [0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol661 = [2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol662 = [2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0] pubkeycol663 = [2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol664 = [2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol665 = [2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0] pubkeycol666 = [0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol667 = [2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol668 = [0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol669 = [0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol670 = [1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2] pubkeycol671 = [1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol672 = [2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2] pubkeycol673 = [2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0] pubkeycol674 = [2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol675 = [0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol676 = [1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1] pubkeycol677 = [0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1] pubkeycol678 = [1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2] pubkeycol679 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol680 = [0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol681 = [0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol682 = [2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0] pubkeycol683 = [1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2] pubkeycol684 = [2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol685 = [1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol686 = [2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol687 = [0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1] pubkeycol688 = [1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1] pubkeycol689 = [1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol690 = [2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2] pubkeycol691 = [2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol692 = [0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol693 = [1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol694 = [0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol695 = [1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol696 = [0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol697 = [1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol698 = [2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol699 = [1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1] pubkeycol700 = [2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol701 = [0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0] pubkeycol702 = [2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol703 = [0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol704 = [0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0] pubkeycol705 = [1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0] pubkeycol706 = [2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1] pubkeycol707 = [0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0] pubkeycol708 = [1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol709 = [1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2] pubkeycol710 = [2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol711 = [2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1] pubkeycol712 = [0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol713 = [2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol714 = [2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol715 = [1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol716 = [1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1] pubkeycol717 = [0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol718 = [0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol719 = [2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0] pubkeycol720 = [0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol721 = [1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol722 = [1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2] pubkeycol723 = [0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol724 = [0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol725 = [1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol726 = [1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol727 = [1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol728 = [2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2] pubkeycol729 = [0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol730 = [1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol731 = [2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol732 = [2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1] pubkeycol733 = [2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol734 = [2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol735 = [2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2] pubkeycol736 = [0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol737 = [2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol738 = [0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol739 = [1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0] pubkeycol740 = [2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol741 = [1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol742 = [2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol743 = [1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol744 = [0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol745 = [0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol746 = [0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol747 = [2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol748 = [1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol749 = [0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2] pubkeycol750 = [1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1] pubkeycol751 = [1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol752 = [1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol753 = [1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol754 = [0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1] pubkeycol755 = [1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol756 = [0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1] pubkeycol757 = [2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol758 = [0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol759 = [0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol760 = [0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1] pubkeycol761 = [1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol762 = [0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol763 = [0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol764 = [1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol765 = [0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1] pubkeycol766 = [1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1] pubkeycol767 = [0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol768 = [1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol769 = [1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2] pubkeycol770 = [0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol771 = [0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol772 = [0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol773 = [0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol774 = [2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1] pubkeycol775 = [2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol776 = [0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol777 = [0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1] pubkeycol778 = [1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol779 = [2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1] pubkeycol780 = [2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol781 = [0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol782 = [0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol783 = [2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol784 = [1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol785 = [2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol786 = [0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0] pubkeycol787 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol788 = [2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol789 = [2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol790 = [2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol791 = [1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol792 = [0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol793 = [1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol794 = [2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol795 = [0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol796 = [0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol797 = [2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol798 = [0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol799 = [0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol800 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol801 = [2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0] pubkeycol802 = [2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol803 = [2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0] pubkeycol804 = [1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol805 = [2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1] pubkeycol806 = [0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2] pubkeycol807 = [2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol808 = [2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1] pubkeycol809 = [2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol810 = [2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2] pubkeycol811 = [2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1] pubkeycol812 = [1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol813 = [2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol814 = [2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1] pubkeycol815 = [2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0] pubkeycol816 = [0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol817 = [2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol818 = [0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol819 = [0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol820 = [1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1] pubkeycol821 = [2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol822 = [2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1] pubkeycol823 = [0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol824 = [2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1] pubkeycol825 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1] pubkeycol826 = [1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol827 = [1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2] pubkeycol828 = [1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0] pubkeycol829 = [2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0] pubkeycol830 = [0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol831 = [0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2] pubkeycol832 = [1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1] pubkeycol833 = [2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol834 = [1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol835 = [1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1] pubkeycol836 = [0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol837 = [2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0] pubkeycol838 = [2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol839 = [1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2] pubkeycol840 = [0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol841 = [1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol842 = [2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol843 = [1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol844 = [0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol845 = [2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0] pubkeycol846 = [2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol847 = [2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol848 = [0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol849 = [2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol850 = [1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol851 = [1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1] pubkeycol852 = [2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol853 = [1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol854 = [1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol855 = [0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol856 = [0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol857 = [1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol858 = [2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1] pubkeycol859 = [1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol860 = [2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1] pubkeycol861 = [2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol862 = [1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol863 = [2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol864 = [2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2] pubkeycol865 = [0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0] pubkeycol866 = [1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2] pubkeycol867 = [0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1] pubkeycol868 = [2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol869 = [2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol870 = [2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol871 = [0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol872 = [2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol873 = [0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol874 = [0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol875 = [2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol876 = [1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol877 = [0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol878 = [0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1] pubkeycol879 = [0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol880 = [1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol881 = [1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2] pubkeycol882 = [2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2] pubkeycol883 = [0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol884 = [0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol885 = [1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol886 = [0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol887 = [2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2] pubkeycol888 = [1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2] pubkeycol889 = [0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol890 = [2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0] pubkeycol891 = [1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol892 = [2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol893 = [1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol894 = [1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol895 = [1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol896 = [0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0] pubkeycol897 = [1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0] pubkeycol898 = [1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol899 = [0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0] pubkeycol900 = [0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1] pubkeycol901 = [2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol902 = [0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1] pubkeycol903 = [1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol904 = [1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol905 = [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1] pubkeycol906 = [2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1] pubkeycol907 = [1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol908 = [0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2] pubkeycol909 = [1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2] pubkeycol910 = [1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol911 = [1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1] pubkeycol912 = [1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol913 = [1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol914 = [2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol915 = [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0] pubkeycol916 = [2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol917 = [2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2] pubkeycol918 = [2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol919 = [0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2] pubkeycol920 = [1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol921 = [2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol922 = [2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol923 = [0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol924 = [0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol925 = [2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0] pubkeycol926 = [0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2] pubkeycol927 = [0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1] pubkeycol928 = [1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2] pubkeycol929 = [1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol930 = [0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol931 = [1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol932 = [0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol933 = [1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol934 = [1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol935 = [0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol936 = [1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol937 = [0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol938 = [0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol939 = [1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0] pubkeycol940 = [0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2] pubkeycol941 = [2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0] pubkeycol942 = [1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2] pubkeycol943 = [2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1] pubkeycol944 = [1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0] pubkeycol945 = [1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2] pubkeycol946 = [2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol947 = [1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol948 = [1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol949 = [1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0] pubkeycol950 = [0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol951 = [0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol952 = [2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1] pubkeycol953 = [1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol954 = [2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1] pubkeycol955 = [0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol956 = [1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol957 = [1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol958 = [2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol959 = [1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol960 = [0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol961 = [1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1] pubkeycol962 = [1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol963 = [2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1] pubkeycol964 = [2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol965 = [2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1] pubkeycol966 = [2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol967 = [1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol968 = [2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol969 = [1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol970 = [1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol971 = [2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol972 = [0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0] pubkeycol973 = [1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol974 = [2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol975 = [0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1] pubkeycol976 = [2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2] pubkeycol977 = [0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol978 = [2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol979 = [2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2] pubkeycol980 = [2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol981 = [2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol982 = [0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2] pubkeycol983 = [2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1] pubkeycol984 = [1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0] pubkeycol985 = [0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2] pubkeycol986 = [2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2] pubkeycol987 = [0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol988 = [0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1] pubkeycol989 = [1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2] pubkeycol990 = [0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol991 = [0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol992 = [0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1] pubkeycol993 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0] pubkeycol994 = [0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol995 = [2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1] pubkeycol996 = [1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol997 = [2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol998 = [2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2] pubkeycol999 = [2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol1000 = [2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0] pubkeycol1001 = [2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol1002 = [1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol1003 = [1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol1004 = [2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1] pubkeycol1005 = [0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol1006 = [0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol1007 = [2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2] pubkeycol1008 = [0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2] pubkeycol1009 = [2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol1010 = [1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol1011 = [0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0] pubkeycol1012 = [2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol1013 = [1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol1014 = [2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol1015 = [0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol1016 = [0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol1017 = [2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol1018 = [1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0] pubkeycol1019 = [2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0] pubkeycol1020 = [1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol1021 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol1022 = [2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol1023 = [1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol1024 = [2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0] pubkeycol1025 = [2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol1026 = [1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol1027 = [0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol1028 = [1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol1029 = [0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1] pubkeycol1030 = [0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2] pubkeycol1031 = [1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol1032 = [2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol1033 = [0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol1034 = [2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol1035 = [1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0] pubkeycol1036 = [0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol1037 = [0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol1038 = [0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol1039 = [2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol1040 = [2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2] pubkeycol1041 = [0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1] pubkeycol1042 = [0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol1043 = [2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0] pubkeycol1044 = [0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0] pubkeycol1045 = [1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol1046 = [0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2] pubkeycol1047 = [2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol1048 = [2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2] pubkeycol1049 = [0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1] pubkeycol1050 = [2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol1051 = [1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol1052 = [1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol1053 = [2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol1054 = [2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol1055 = [1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1] pubkeycol1056 = [2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol1057 = [2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0] pubkeycol1058 = [0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol1059 = [2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0] pubkeycol1060 = [0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol1061 = [1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol1062 = [1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1] pubkeycol1063 = [0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol1064 = [1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol1065 = [1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol1066 = [2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol1067 = [0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2] pubkeycol1068 = [2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol1069 = [1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1] pubkeycol1070 = [1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol1071 = [0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1] pubkeycol1072 = [0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0] pubkeycol1073 = [0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol1074 = [1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol1075 = [2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1] pubkeycol1076 = [1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol1077 = [1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2] pubkeycol1078 = [2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2] pubkeycol1079 = [1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2] pubkeycol1080 = [2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol1081 = [1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1] pubkeycol1082 = [2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol1083 = [2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0] pubkeycol1084 = [1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol1085 = [2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol1086 = [1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0] pubkeycol1087 = [0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1] pubkeycol1088 = [0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol1089 = [2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol1090 = [0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol1091 = [1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1] pubkeycol1092 = [0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol1093 = [2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0] pubkeycol1094 = [0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol1095 = [1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol1096 = [1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol1097 = [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol1098 = [0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol1099 = [1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0] pubkeycol1100 = [0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol1101 = [2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol1102 = [1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol1103 = [1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0] pubkeycol1104 = [1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2] pubkeycol1105 = [0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol1106 = [2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol1107 = [1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1] pubkeycol1108 = [0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2] pubkeycol1109 = [2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol1110 = [1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol1111 = [2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol1112 = [1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol1113 = [0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol1114 = [0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol1115 = [1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol1116 = [2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol1117 = [1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0] pubkeycol1118 = [2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol1119 = [1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol1120 = [0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1] pubkeycol1121 = [1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol1122 = [2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol1123 = [1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1] pubkeycol1124 = [1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol1125 = [0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol1126 = [1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol1127 = [0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol1128 = [1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol1129 = [0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1] pubkeycol1130 = [1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol1131 = [1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2] pubkeycol1132 = [0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1] pubkeycol1133 = [2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol1134 = [0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol1135 = [1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol1136 = [1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol1137 = [1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol1138 = [0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol1139 = [0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1] pubkeycol1140 = [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol1141 = [2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol1142 = [1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol1143 = [1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol1144 = [1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1] pubkeycol1145 = [2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol1146 = [2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1] pubkeycol1147 = [2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol1148 = [1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1] pubkeycol1149 = [1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol1150 = [0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol1151 = [1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2] pubkeycol1152 = [1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol1153 = [2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0] pubkeycol1154 = [1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0] pubkeycol1155 = [0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol1156 = [0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol1157 = [2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol1158 = [0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol1159 = [0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol1160 = [1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol1161 = [2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0] pubkeycol1162 = [0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1] pubkeycol1163 = [0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol1164 = [2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2] pubkeycol1165 = [1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol1166 = [2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol1167 = [1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol1168 = [0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol1169 = [0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol1170 = [1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol1171 = [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1] pubkeycol1172 = [0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol1173 = [0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol1174 = [1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol1175 = [2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol1176 = [2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol1177 = [2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0] pubkeycol1178 = [0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1] pubkeycol1179 = [1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0] pubkeycol1180 = [2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2] pubkeycol1181 = [0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol1182 = [0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol1183 = [1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1184 = [0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol1185 = [2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol1186 = [1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol1187 = [2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol1188 = [1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol1189 = [1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2