kilobytes = 151.956731941699 q = 3 m = 7 n = 2126 s = 0 t = 34 u = 68 k = 1650 w = 51 ciphertext = [0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1] recovered_plaintext_using_secret_key = True pubkeycol476 = [1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol477 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0] pubkeycol478 = [2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol479 = [0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2] pubkeycol480 = [0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol481 = [0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1] pubkeycol482 = [0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1] pubkeycol483 = [2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2] pubkeycol484 = [2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1] pubkeycol485 = [0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0] pubkeycol486 = [2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol487 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol488 = [2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol489 = [1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol490 = [1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol491 = [0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol492 = [0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol493 = [0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol494 = [0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol495 = [1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol496 = [2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol497 = [2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol498 = [1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol499 = [1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol500 = [2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol501 = [0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1] pubkeycol502 = [2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0] pubkeycol503 = [1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol504 = [2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol505 = [2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1] pubkeycol506 = [0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol507 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol508 = [0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol509 = [1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol510 = [2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol511 = [2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2] pubkeycol512 = [1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol513 = [2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1] pubkeycol514 = [2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2] pubkeycol515 = [0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2] pubkeycol516 = [0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0] pubkeycol517 = [0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol518 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1] pubkeycol519 = [1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol520 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol521 = [1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol522 = [0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1] pubkeycol523 = [2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol524 = [2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0] pubkeycol525 = [1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2] pubkeycol526 = [2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol527 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol528 = [0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2] pubkeycol529 = [1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2] pubkeycol530 = [2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol531 = [2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol532 = [0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol533 = [2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1] pubkeycol534 = [2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0] pubkeycol535 = [0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol536 = [2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol537 = [1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol538 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1] pubkeycol539 = [1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol540 = [2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol541 = [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol542 = [2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol543 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol544 = [1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol545 = [0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol546 = [2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2] pubkeycol547 = [1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol548 = [1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol549 = [0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2] pubkeycol550 = [0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol551 = [2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0] pubkeycol552 = [0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2] pubkeycol553 = [0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol554 = [0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol555 = [0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol556 = [0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2] pubkeycol557 = [1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1] pubkeycol558 = [1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0] pubkeycol559 = [1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0] pubkeycol560 = [1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol561 = [2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol562 = [2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol563 = [0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0] pubkeycol564 = [0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol565 = [0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol566 = [2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0] pubkeycol567 = [2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol568 = [2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol569 = [1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2] pubkeycol570 = [1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol571 = [1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol572 = [2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol573 = [0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1] pubkeycol574 = [0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol575 = [0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol576 = [0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol577 = [0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol578 = [0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol579 = [1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol580 = [1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol581 = [2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0] pubkeycol582 = [1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol583 = [2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2] pubkeycol584 = [1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1] pubkeycol585 = [2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol586 = [2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol587 = [2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1] pubkeycol588 = [1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol589 = [1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2] pubkeycol590 = [1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol591 = [1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol592 = [1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2] pubkeycol593 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol594 = [1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol595 = [2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol596 = [0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol597 = [2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol598 = [0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0] pubkeycol599 = [1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol600 = [1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1] pubkeycol601 = [0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol602 = [0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1] pubkeycol603 = [1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2] pubkeycol604 = [0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1] pubkeycol605 = [0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol606 = [0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2] pubkeycol607 = [1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2] pubkeycol608 = [2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol609 = [0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0] pubkeycol610 = [2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol611 = [1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol612 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol613 = [0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol614 = [1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol615 = [0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1] pubkeycol616 = [1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol617 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol618 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol619 = [1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0] pubkeycol620 = [0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol621 = [1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol622 = [2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol623 = [0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol624 = [0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol625 = [0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2] pubkeycol626 = [2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0] pubkeycol627 = [2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol628 = [0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol629 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1] pubkeycol630 = [0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol631 = [0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol632 = [0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1] pubkeycol633 = [1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0] pubkeycol634 = [2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2] pubkeycol635 = [2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol636 = [1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol637 = [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol638 = [0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol639 = [2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol640 = [1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1] pubkeycol641 = [0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol642 = [0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol643 = [2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2] pubkeycol644 = [1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol645 = [0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol646 = [2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2] pubkeycol647 = [2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol648 = [2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol649 = [1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2] pubkeycol650 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol651 = [1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1] pubkeycol652 = [1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol653 = [1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0] pubkeycol654 = [0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol655 = [0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1] pubkeycol656 = [1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol657 = [0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol658 = [0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol659 = [0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1] pubkeycol660 = [1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol661 = [1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol662 = [1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0] pubkeycol663 = [2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol664 = [1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol665 = [0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1] pubkeycol666 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol667 = [1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol668 = [2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0] pubkeycol669 = [0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol670 = [2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol671 = [2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1] pubkeycol672 = [1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol673 = [2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol674 = [1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2] pubkeycol675 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2] pubkeycol676 = [2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0] pubkeycol677 = [2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1] pubkeycol678 = [1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2] pubkeycol679 = [1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol680 = [1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2] pubkeycol681 = [2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0] pubkeycol682 = [2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0] pubkeycol683 = [1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol684 = [2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0] pubkeycol685 = [2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0] pubkeycol686 = [0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol687 = [2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol688 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0] pubkeycol689 = [1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1] pubkeycol690 = [1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol691 = [2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol692 = [1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0] pubkeycol693 = [1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol694 = [0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol695 = [2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol696 = [0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol697 = [1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol698 = [1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0] pubkeycol699 = [1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol700 = [0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol701 = [2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol702 = [1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol703 = [2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1] pubkeycol704 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol705 = [2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol706 = [0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0] pubkeycol707 = [0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol708 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol709 = [0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2] pubkeycol710 = [2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol711 = [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol712 = [0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol713 = [1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol714 = [1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0] pubkeycol715 = [0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2] pubkeycol716 = [0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol717 = [0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2] pubkeycol718 = [1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol719 = [2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol720 = [0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0] pubkeycol721 = [2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol722 = [0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2] pubkeycol723 = [1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol724 = [0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol725 = [2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol726 = [2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol727 = [0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol728 = [0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1] pubkeycol729 = [0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol730 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol731 = [0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol732 = [1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol733 = [1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol734 = [1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol735 = [2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2] pubkeycol736 = [1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol737 = [2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol738 = [2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol739 = [2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol740 = [2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1] pubkeycol741 = [1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol742 = [2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol743 = [2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1] pubkeycol744 = [2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0] pubkeycol745 = [0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol746 = [0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol747 = [1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol748 = [0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1] pubkeycol749 = [2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2] pubkeycol750 = [1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol751 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol752 = [2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol753 = [1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol754 = [2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol755 = [2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol756 = [0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0] pubkeycol757 = [2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1] pubkeycol758 = [0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol759 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol760 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol761 = [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1] pubkeycol762 = [2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1] pubkeycol763 = [1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol764 = [0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol765 = [2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol766 = [1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2] pubkeycol767 = [2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0] pubkeycol768 = [2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol769 = [1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2] pubkeycol770 = [2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol771 = [1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol772 = [1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol773 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2] pubkeycol774 = [0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol775 = [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol776 = [1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2] pubkeycol777 = [1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol778 = [0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol779 = [1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol780 = [2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol781 = [0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2] pubkeycol782 = [1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1] pubkeycol783 = [1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol784 = [1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol785 = [0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol786 = [0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0] pubkeycol787 = [0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1] pubkeycol788 = [1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0] pubkeycol789 = [1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol790 = [0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol791 = [2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1] pubkeycol792 = [0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol793 = [1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol794 = [0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol795 = [1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol796 = [1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol797 = [1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2] pubkeycol798 = [0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2] pubkeycol799 = [2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol800 = [0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol801 = [2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol802 = [1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2] pubkeycol803 = [2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0] pubkeycol804 = [1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol805 = [1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol806 = [0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol807 = [0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol808 = [2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0] pubkeycol809 = [2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol810 = [0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol811 = [2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol812 = [2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol813 = [2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol814 = [0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0] pubkeycol815 = [2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0] pubkeycol816 = [1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol817 = [0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol818 = [0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol819 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0] pubkeycol820 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol821 = [1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1] pubkeycol822 = [1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol823 = [2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol824 = [2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol825 = [0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol826 = [1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol827 = [1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1] pubkeycol828 = [2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol829 = [2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol830 = [2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1] pubkeycol831 = [2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol832 = [2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol833 = [0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol834 = [0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol835 = [2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol836 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2] pubkeycol837 = [0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol838 = [1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol839 = [0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol840 = [1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol841 = [1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol842 = [2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol843 = [0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol844 = [2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol845 = [1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol846 = [0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2] pubkeycol847 = [1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol848 = [0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol849 = [2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol850 = [1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol851 = [0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol852 = [1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1] pubkeycol853 = [0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol854 = [1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2] pubkeycol855 = [0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol856 = [0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol857 = [2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2] pubkeycol858 = [0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol859 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol860 = [2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol861 = [1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol862 = [0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol863 = [2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol864 = [1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2] pubkeycol865 = [0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol866 = [1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1] pubkeycol867 = [0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0] pubkeycol868 = [0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0] pubkeycol869 = [1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol870 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2] pubkeycol871 = [0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0] pubkeycol872 = [2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0] pubkeycol873 = [1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol874 = [0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol875 = [2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol876 = [2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol877 = [2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol878 = [2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol879 = [0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0] pubkeycol880 = [2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol881 = [2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol882 = [1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol883 = [2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol884 = [2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol885 = [1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol886 = [2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol887 = [1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol888 = [0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol889 = [2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0] pubkeycol890 = [2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol891 = [1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0] pubkeycol892 = [1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol893 = [2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol894 = [1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol895 = [0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol896 = [1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol897 = [2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol898 = [1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol899 = [0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol900 = [0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol901 = [1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol902 = [0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol903 = [1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2] pubkeycol904 = [1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol905 = [1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol906 = [2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol907 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol908 = [1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0] pubkeycol909 = [2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol910 = [1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2] pubkeycol911 = [2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol912 = [1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol913 = [1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0] pubkeycol914 = [2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol915 = [1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol916 = [0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol917 = [2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol918 = [1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol919 = [0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol920 = [2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol921 = [0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol922 = [2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol923 = [2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol924 = [1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol925 = [2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol926 = [2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol927 = [2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol928 = [0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol929 = [0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol930 = [1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol931 = [2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol932 = [1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol933 = [0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2] pubkeycol934 = [0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol935 = [1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2] pubkeycol936 = [0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol937 = [1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol938 = [1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0] pubkeycol939 = [1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol940 = [0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol941 = [0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0] pubkeycol942 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol943 = [1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol944 = [0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0] pubkeycol945 = [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 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, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1] pubkeycol946 = [2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol947 = [0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2] pubkeycol948 = [0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol949 = [2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol950 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol951 = [0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol952 = [1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol953 = [0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol954 = [0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol955 = [0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol956 = [0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1] pubkeycol957 = [2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol958 = [1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol959 = [2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2] pubkeycol960 = [2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol961 = [1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1] pubkeycol962 = [2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol963 = [0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol964 = [0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol965 = [2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol966 = [2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol967 = [1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol968 = [0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0] pubkeycol969 = [2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0] pubkeycol970 = [0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0] pubkeycol971 = [1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol972 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol973 = [2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol974 = [1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol975 = [2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol976 = [0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol977 = [0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol978 = [1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol979 = [1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2] pubkeycol980 = [2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol981 = [0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol982 = [0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol983 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol984 = [2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol985 = [2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol986 = [1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol987 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol988 = [2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0] pubkeycol989 = [1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol990 = [0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol991 = [1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1] pubkeycol992 = [0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol993 = [2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol994 = [0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2] pubkeycol995 = [2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol996 = [2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol997 = [1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol998 = [0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol999 = [0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2] pubkeycol1000 = [1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0] pubkeycol1001 = [2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0] pubkeycol1002 = [2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2] pubkeycol1003 = [1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol1004 = [0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0] pubkeycol1005 = [0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2] pubkeycol1006 = [0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol1007 = [2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol1008 = [1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol1009 = [1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol1010 = [1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol1011 = [1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol1012 = [1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol1013 = [2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2] pubkeycol1014 = [1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol1015 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2] pubkeycol1016 = [2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol1017 = [2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0] pubkeycol1018 = [0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1] pubkeycol1019 = [0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol1020 = [1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol1021 = [1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0] pubkeycol1022 = [1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol1023 = [2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1] pubkeycol1024 = [0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol1025 = [1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol1026 = [1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1] pubkeycol1027 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol1028 = [2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1] pubkeycol1029 = [1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1030 = [0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol1031 = [2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol1032 = [0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol1033 = [2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol1034 = [1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1] pubkeycol1035 = [2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol1036 = [0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol1037 = [2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2] pubkeycol1038 = [0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol1039 = [2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol1040 = [2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol1041 = [2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol1042 = [2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol1043 = [1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol1044 = [0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1] pubkeycol1045 = [1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol1046 = [2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0] pubkeycol1047 = [1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol1048 = [2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol1049 = [1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol1050 = [0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol1051 = [2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol1052 = [2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol1053 = [0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol1054 = [2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0] pubkeycol1055 = [0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol1056 = [0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1] pubkeycol1057 = [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol1058 = [0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol1059 = [0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2] pubkeycol1060 = [1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1] pubkeycol1061 = [0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol1062 = [1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol1063 = [0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol1064 = [0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2] pubkeycol1065 = [0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol1066 = [0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol1067 = [2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol1068 = [1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol1069 = [1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol1070 = [0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2] pubkeycol1071 = [1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol1072 = [1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0] pubkeycol1073 = [1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0] pubkeycol1074 = [0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol1075 = [0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol1076 = [1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2] pubkeycol1077 = [1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol1078 = [0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol1079 = [1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol1080 = [0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol1081 = [1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1] pubkeycol1082 = [2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol1083 = [0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol1084 = [1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol1085 = [2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol1086 = [1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1] pubkeycol1087 = [1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2] pubkeycol1088 = [1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol1089 = [1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol1090 = [0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1] pubkeycol1091 = [1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol1092 = [0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol1093 = [1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2] pubkeycol1094 = [0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2] pubkeycol1095 = [0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol1096 = [1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1] pubkeycol1097 = [2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol1098 = [0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2] pubkeycol1099 = [2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol1100 = [2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol1101 = [2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2] pubkeycol1102 = [1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1] pubkeycol1103 = [0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol1104 = [0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1] pubkeycol1105 = [0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol1106 = [2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol1107 = [1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0] pubkeycol1108 = [0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol1109 = [2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1] pubkeycol1110 = [2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1] pubkeycol1111 = [0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol1112 = [2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol1113 = [2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol1114 = [0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol1115 = [2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol1116 = [0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0] pubkeycol1117 = [1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2] pubkeycol1118 = [0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1] pubkeycol1119 = [0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0] pubkeycol1120 = [0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol1121 = [2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol1122 = [1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol1123 = [2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol1124 = [2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0] pubkeycol1125 = [1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol1126 = [1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol1127 = [1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol1128 = [2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol1129 = [1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol1130 = [2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol1131 = [0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2] pubkeycol1132 = [0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol1133 = [1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol1134 = [2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol1135 = [2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol1136 = [0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1] pubkeycol1137 = [0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol1138 = [1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2] pubkeycol1139 = [0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2] pubkeycol1140 = [0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol1141 = [1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol1142 = [2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1] pubkeycol1143 = [0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol1144 = [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, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0] pubkeycol1145 = [1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol1146 = [1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1] pubkeycol1147 = [1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol1148 = [2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol1149 = [0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol1150 = [1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2] pubkeycol1151 = [2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0] pubkeycol1152 = [2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol1153 = [1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol1154 = [0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol1155 = [0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol1156 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0] pubkeycol1157 = [2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol1158 = [2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol1159 = [1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol1160 = [1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2] pubkeycol1161 = [1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol1162 = [0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol1163 = [0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0] pubkeycol1164 = [1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol1165 = [1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol1166 = [0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0] pubkeycol1167 = [0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol1168 = [1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol1169 = [2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0] pubkeycol1170 = [2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol1171 = [2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol1172 = [0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol1173 = [2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol1174 = [2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol1175 = [0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol1176 = [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol1177 = [1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2] pubkeycol1178 = [1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol1179 = [1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0] pubkeycol1180 = [2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1] pubkeycol1181 = [1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol1182 = [2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1] pubkeycol1183 = [1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol1184 = [1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1] pubkeycol1185 = [2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol1186 = [0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol1187 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1] pubkeycol1188 = [1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol1189 = [1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0] pubkeycol1190 = [2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol1191 = [0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1] pubkeycol1192 = [2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol1193 = [2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1] pubkeycol1194 = [0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0] pubkeycol1195 = [0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2] pubkeycol1196 = [0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol1197 = [2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol1198 = [0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol1199 = [1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol1200 = [1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2,