kilobytes = 119.723485772247 q = 3 m = 7 n = 1776 s = 0 t = 34 u = 68 k = 1300 w = 51 ciphertext = [1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol476 = [2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol477 = [0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2] pubkeycol478 = [1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol479 = [1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1] pubkeycol480 = [0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol481 = [0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol482 = [0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol483 = [0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol484 = [0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol485 = [2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1] pubkeycol486 = [0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1] pubkeycol487 = [2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol488 = [1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0] pubkeycol489 = [1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0] pubkeycol490 = [1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol491 = [0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol492 = [2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol493 = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol494 = [0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol495 = [0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1] pubkeycol496 = [0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol497 = [1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2] pubkeycol498 = [1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1] pubkeycol499 = [1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0] pubkeycol500 = [0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol501 = [1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol502 = [0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol503 = [0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0] pubkeycol504 = [0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol505 = [1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol506 = [2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0] pubkeycol507 = [2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2] pubkeycol508 = [2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2] pubkeycol509 = [0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol510 = [0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol511 = [0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2] pubkeycol512 = [1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol513 = [1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1] pubkeycol514 = [1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol515 = [1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1] pubkeycol516 = [0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol517 = [0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol518 = [1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2] pubkeycol519 = [1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol520 = [2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2] pubkeycol521 = [2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0] pubkeycol522 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0] pubkeycol523 = [1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol524 = [2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0] pubkeycol525 = [1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol526 = [0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol527 = [1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1] pubkeycol528 = [0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol529 = [0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1] pubkeycol530 = [0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol531 = [0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol532 = [0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1] pubkeycol533 = [1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol534 = [1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol535 = [0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol536 = [1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2] pubkeycol537 = [1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol538 = [0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol539 = [0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol540 = [1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol541 = [0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0] pubkeycol542 = [2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0] pubkeycol543 = [1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol544 = [0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol545 = [1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2] pubkeycol546 = [2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1] pubkeycol547 = [0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol548 = [1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol549 = [0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0] pubkeycol550 = [2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol551 = [2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol552 = [0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol553 = [2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0] pubkeycol554 = [2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol555 = [0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0] pubkeycol556 = [1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol557 = [2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol558 = [0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol559 = [1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol560 = [1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2] pubkeycol561 = [2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2] pubkeycol562 = [2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1] pubkeycol563 = [0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol564 = [1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1] pubkeycol565 = [0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2] pubkeycol566 = [0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0] pubkeycol567 = [2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol568 = [1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol569 = [1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0] pubkeycol570 = [1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol571 = [1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0] pubkeycol572 = [1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol573 = [1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1] pubkeycol574 = [0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol575 = [1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2] pubkeycol576 = [1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2] pubkeycol577 = [0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol578 = [1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol579 = [1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol580 = [0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol581 = [1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol582 = [1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol583 = [0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol584 = [1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol585 = [1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol586 = [0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol587 = [1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2] pubkeycol588 = [2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol589 = [1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol590 = [1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol591 = [1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol592 = [2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1] pubkeycol593 = [1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol594 = [1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol595 = [0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1] pubkeycol596 = [2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol597 = [1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol598 = [2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2] pubkeycol599 = [0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0] pubkeycol600 = [2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol601 = [0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol602 = [0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol603 = [2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2] pubkeycol604 = [1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol605 = [0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol606 = [1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol607 = [1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol608 = [2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol609 = [2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0] pubkeycol610 = [2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2] pubkeycol611 = [2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol612 = [1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol613 = [2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol614 = [0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol615 = [1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol616 = [1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol617 = [1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0] pubkeycol618 = [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol619 = [1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol620 = [1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol621 = [1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol622 = [0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1] pubkeycol623 = [2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol624 = [1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol625 = [0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol626 = [0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol627 = [1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2] pubkeycol628 = [0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol629 = [1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol630 = [2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol631 = [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol632 = [2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1] pubkeycol633 = [2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2] pubkeycol634 = [2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2] pubkeycol635 = [1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol636 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2] pubkeycol637 = [2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol638 = [0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol639 = [0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2] pubkeycol640 = [0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol641 = [0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2] pubkeycol642 = [2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol643 = [0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol644 = [1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol645 = [0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol646 = [1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol647 = [1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol648 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1] pubkeycol649 = [1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0] pubkeycol650 = [2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2] pubkeycol651 = [1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol652 = [1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2] pubkeycol653 = [1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2] pubkeycol654 = [2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol655 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol656 = [1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol657 = [1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol658 = [0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol659 = [1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1] pubkeycol660 = [2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol661 = [1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol662 = [2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol663 = [1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol664 = [1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol665 = [1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol666 = [0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol667 = [1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol668 = [2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol669 = [0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol670 = [0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2] pubkeycol671 = [2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0] pubkeycol672 = [1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol673 = [0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol674 = [0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0] pubkeycol675 = [0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol676 = [1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1] pubkeycol677 = [1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol678 = [0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol679 = [0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol680 = [2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol681 = [2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0] pubkeycol682 = [1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol683 = [0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol684 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol685 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0] pubkeycol686 = [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1] pubkeycol687 = [2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0] pubkeycol688 = [1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2] pubkeycol689 = [0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2] pubkeycol690 = [2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol691 = [0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0] pubkeycol692 = [2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol693 = [2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol694 = [0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol695 = [2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol696 = [2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol697 = [0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2] pubkeycol698 = [0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol699 = [1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol700 = [0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol701 = [2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol702 = [0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol703 = [1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol704 = [0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol705 = [0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol706 = [1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol707 = [2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0] pubkeycol708 = [1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol709 = [1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol710 = [0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0] pubkeycol711 = [0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol712 = [0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol713 = [1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0] pubkeycol714 = [2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol715 = [1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol716 = [1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol717 = [0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol718 = [1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol719 = [0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2] pubkeycol720 = [0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol721 = [1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol722 = [2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2] pubkeycol723 = [2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1] pubkeycol724 = [1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol725 = [0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2] pubkeycol726 = [1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol727 = [2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2] pubkeycol728 = [1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol729 = [1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol730 = [0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol731 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1] pubkeycol732 = [0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol733 = [2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1] pubkeycol734 = [1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol735 = [2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol736 = [0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol737 = [2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol738 = [1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1] pubkeycol739 = [2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1] pubkeycol740 = [0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol741 = [1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0] pubkeycol742 = [2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol743 = [2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol744 = [0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0] pubkeycol745 = [2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol746 = [1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol747 = [2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol748 = [2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol749 = [0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0] pubkeycol750 = [0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol751 = [0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol752 = [1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1] pubkeycol753 = [2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol754 = [1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol755 = [2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol756 = [0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol757 = [0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0] pubkeycol758 = [0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol759 = [1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0] pubkeycol760 = [0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol761 = [1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol762 = [1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2] pubkeycol763 = [0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0] pubkeycol764 = [2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1] pubkeycol765 = [1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1] pubkeycol766 = [2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol767 = [2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol768 = [2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol769 = [2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol770 = [2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol771 = [0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol772 = [0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol773 = [0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol774 = [2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1] pubkeycol775 = [0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol776 = [1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol777 = [2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2] pubkeycol778 = [2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0] pubkeycol779 = [2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol780 = [0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol781 = [1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol782 = [2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol783 = [2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1] pubkeycol784 = [0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol785 = [1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol786 = [0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol787 = [1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol788 = [2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol789 = [1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol790 = [0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1] pubkeycol791 = [0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol792 = [0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0] pubkeycol793 = [1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2] pubkeycol794 = [0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0] pubkeycol795 = [0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol796 = [0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol797 = [0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol798 = [2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol799 = [2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0] pubkeycol800 = [0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2] pubkeycol801 = [0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol802 = [2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2] pubkeycol803 = [0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol804 = [2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol805 = [1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol806 = [1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol807 = [0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0] pubkeycol808 = [2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0] pubkeycol809 = [2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol810 = [2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol811 = [0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol812 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1] pubkeycol813 = [1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol814 = [0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol815 = [1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol816 = [2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol817 = [0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol818 = [2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol819 = [2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol820 = [2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol821 = [1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol822 = [0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol823 = [2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol824 = [0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol825 = [1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2] pubkeycol826 = [0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol827 = [1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2] pubkeycol828 = [0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1] pubkeycol829 = [1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol830 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2] pubkeycol831 = [1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol832 = [0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2] pubkeycol833 = [1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol834 = [0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol835 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol836 = [1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol837 = [2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol838 = [0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol839 = [2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol840 = [0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2] pubkeycol841 = [2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol842 = [0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol843 = [1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol844 = [0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol845 = [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol846 = [1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0] pubkeycol847 = [0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol848 = [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol849 = [2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol850 = [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol851 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol852 = [0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol853 = [2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol854 = [0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0] pubkeycol855 = [1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0] pubkeycol856 = [1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1] pubkeycol857 = [2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol858 = [1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol859 = [2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol860 = [1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1] pubkeycol861 = [0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol862 = [2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol863 = [2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1] pubkeycol864 = [0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2] pubkeycol865 = [1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2] pubkeycol866 = [0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol867 = [1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2] pubkeycol868 = [0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol869 = [0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol870 = [1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0] pubkeycol871 = [1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol872 = [0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0] pubkeycol873 = [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol874 = [1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol875 = [1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol876 = [0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1] pubkeycol877 = [0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol878 = [1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol879 = [1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol880 = [2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2] pubkeycol881 = [1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol882 = [2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0] pubkeycol883 = [0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol884 = [0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2] pubkeycol885 = [0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2] pubkeycol886 = [1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol887 = [2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol888 = [0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1] pubkeycol889 = [2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol890 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol891 = [0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol892 = [2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1] pubkeycol893 = [0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1] pubkeycol894 = [1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol895 = [1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol896 = [0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol897 = [2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1] pubkeycol898 = [2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol899 = [2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol900 = [2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1] pubkeycol901 = [2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol902 = [1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol903 = [1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol904 = [2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol905 = [2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol906 = [2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0] pubkeycol907 = [0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol908 = [0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol909 = [1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol910 = [1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0] pubkeycol911 = [2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2] pubkeycol912 = [2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol913 = [2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol914 = [1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol915 = [0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2] pubkeycol916 = [1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol917 = [1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol918 = [2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0] pubkeycol919 = [2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol920 = [0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0] pubkeycol921 = [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2] pubkeycol922 = [2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol923 = [1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol924 = [0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol925 = [1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol926 = [2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2] pubkeycol927 = [1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol928 = [0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol929 = [2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol930 = [1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2] pubkeycol931 = [2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol932 = [2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol933 = [1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol934 = [1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2] pubkeycol935 = [2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol936 = [1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol937 = [0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol938 = [2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol939 = [1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2] pubkeycol940 = [2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0] pubkeycol941 = [0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol942 = [0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol943 = [0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol944 = [2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol945 = [0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol946 = [0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol947 = [1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1] pubkeycol948 = [1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol949 = [1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol950 = [1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol951 = [2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1] pubkeycol952 = [1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol953 = [1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol954 = [1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol955 = [1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol956 = [1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2] pubkeycol957 = [1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol958 = [1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol959 = [1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol960 = [2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol961 = [0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol962 = [0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol963 = [1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0] pubkeycol964 = [1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol965 = [0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1] pubkeycol966 = [2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol967 = [1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol968 = [2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol969 = [0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol970 = [2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0] pubkeycol971 = [0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol972 = [2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol973 = [2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol974 = [1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol975 = [2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol976 = [0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol977 = [2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2] pubkeycol978 = [0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol979 = [1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol980 = [1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol981 = [2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol982 = [2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol983 = [2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol984 = [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol985 = [2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol986 = [1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol987 = [2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2] pubkeycol988 = [2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol989 = [1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2] pubkeycol990 = [2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2] pubkeycol991 = [2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0] pubkeycol992 = [0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol993 = [1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol994 = [2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0] pubkeycol995 = [0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol996 = [0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol997 = [1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol998 = [1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0] pubkeycol999 = [0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol1000 = [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol1001 = [2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol1002 = [2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol1003 = [0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol1004 = [1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol1005 = [0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1] pubkeycol1006 = [2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol1007 = [2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol1008 = [1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol1009 = [2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol1010 = [1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0] pubkeycol1011 = [1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol1012 = [2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol1013 = [0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol1014 = [1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol1015 = [1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol1016 = [0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol1017 = [0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1] pubkeycol1018 = [0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol1019 = [2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol1020 = [0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol1021 = [0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol1022 = [1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2] pubkeycol1023 = [1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol1024 = [0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2] pubkeycol1025 = [2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol1026 = [0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol1027 = [0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol1028 = [0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol1029 = [2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol1030 = [1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol1031 = [2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol1032 = [1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1] pubkeycol1033 = [2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol1034 = [1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1] pubkeycol1035 = [1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol1036 = [0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol1037 = [1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1] pubkeycol1038 = [0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol1039 = [2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol1040 = [0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol1041 = [1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol1042 = [0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol1043 = [1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol1044 = [2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol1045 = [1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol1046 = [1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol1047 = [2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol1048 = [0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol1049 = [2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol1050 = [1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2] pubkeycol1051 = [1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol1052 = [0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol1053 = [1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol1054 = [0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2] pubkeycol1055 = [1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol1056 = [0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol1057 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol1058 = [0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol1059 = [0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol1060 = [0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol1061 = [1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2] pubkeycol1062 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol1063 = [0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol1064 = [1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0] pubkeycol1065 = [2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol1066 = [0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol1067 = [1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol1068 = [1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol1069 = [1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol1070 = [0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2] pubkeycol1071 = [0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol1072 = [2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2] pubkeycol1073 = [0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0] pubkeycol1074 = [0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol1075 = [2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol1076 = [0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol1077 = [1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol1078 = [2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1] pubkeycol1079 = [1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol1080 = [0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol1081 = [2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol1082 = [2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol1083 = [1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol1084 = [1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol1085 = [0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1] pubkeycol1086 = [0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1087 = [1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol1088 = [2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol1089 = [2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol1090 = [2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol1091 = [0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0] pubkeycol1092 = [1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol1093 = [2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol1094 = [2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol1095 = [0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol1096 = [1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol1097 = [0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1] pubkeycol1098 = [1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol1099 = [1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1] pubkeycol1100 = [0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol1101 = [2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1] pubkeycol1102 = [0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0] pubkeycol1103 = [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol1104 = [2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0] pubkeycol1105 = [0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol1106 = [1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol1107 = [0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol1108 = [2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol1109 = [0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol1110 = [1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol1111 = [1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol1112 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol1113 = [0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol1114 = [0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol1115 = [0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol1116 = [2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol1117 = [0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol1118 = [0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol1119 = [0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol1120 = [2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol1121 = [1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol1122 = [2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol1123 = [1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2] pubkeycol1124 = [1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol1125 = [1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol1126 = [0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0] pubkeycol1127 = [0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2] pubkeycol1128 = [1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol1129 = [2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0] pubkeycol1130 = [2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol1131 = [0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1] pubkeycol1132 = [1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol1133 = [1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol1134 = [1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2] pubkeycol1135 = [0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol1136 = [0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol1137 = [2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol1138 = [2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol1139 = [2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol1140 = [0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol1141 = [1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol1142 = [0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2] pubkeycol1143 = [1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol1144 = [2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1] pubkeycol1145 = [2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol1146 = [0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol1147 = [0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2] pubkeycol1148 = [2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1] pubkeycol1149 = [0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol1150 = [2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0] pubkeycol1151 = [2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol1152 = [1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1] pubkeycol1153 = [1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2] pubkeycol1154 = [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol1155 = [2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1] pubkeycol1156 = [2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol1157 = [0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0] pubkeycol1158 = [2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol1159 = [0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol1160 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol1161 = [0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol1162 = [1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol1163 = [2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol1164 = [1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol1165 = [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol1166 = [1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol1167 = [2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2] pubkeycol1168 = [2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol1169 = [2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol1170 = [1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1] pubkeycol1171 = [0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol1172 = [0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol1173 = [0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2] pubkeycol1174 = [1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2] pubkeycol1175 = [1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol1176 = [0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol1177 = [1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol1178 = [2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2] pubkeycol1179 = [1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1] pubkeycol1180 = [0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol1181 = [1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2] pubkeycol1182 = [0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2] pubkeycol1183 = [1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol1184 = [1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol1185 = [0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol1186 = [0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2] pubkeycol1187 = [1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol1188 = [2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol1189 = [1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2] pubkeycol1190 = [2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2] pubkeycol1191 = [0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2] pubkeycol1192 = [2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1] pubkeycol1193 = [0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol1194 = [0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol1195 = [2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1] pubkeycol1196 = [0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2] pubkeycol1197 = [2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0] pubkeycol1198 = [0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol1199 = [0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2] pubkeycol1200 = [0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0,